Answer:
6.5
Step-by-step explanation:
Proportional relationship:
[tex]y \propto x \implies y=kx[/tex]
where k is the (non-zero) constant of proportionality.
To determine the constant of proportionality, substitute the given values into the equation and solve for k:
x = 3y = 19.50[tex]\implies 19.50=3k[/tex]
[tex]\implies k=6.5[/tex]
Therefore, the constant of proportionality is 6.5.
Solve for the indicated variable using the given value of the other variable.
Solve for `x` when `y=0` using the equation `y=-3x+12`
Answer: x=4
Step-by-step explanation:
When you substitute 0 for y you will set up your equation like this:
0=-3x+12
You will then subtract 12 from 0 to isolate x:
-12=-3x
You can then divide both sides by -3 and x will equal 4.
y=3x what would the table look like
Answer:
See below
Step-by-step explanation:
x 1 2 3 4 5
y 3 6 9 12 15
Write a positive or negative integer that represents the situation. You earn $25.
A positive or negative integer that represents the situation, M = + $25
What is an Integer?In the number system, A term called integer represents the whole part of the object, It is a numerical value which is not a fraction number.
For example, 1, 23, 456 are Integer
Given that,
Earned money =$25
If it is withdrawal of a money, then it can be written as = - $25
If it is earned money, then it can be written as = + $25
So, Given that earned money is $25
Now,
It can be represented as a positive integer, +$25
Hence, Positive integer +$25 represents the situation
To know more about Integer check:
https://brainly.com/question/15276410
#SPJ1
Find the value of log√27+log 8-log√1000 log 1.2
The value of (log √27 + log 8 - log √1000) / log 1.2 is 3/2.
What are Logarithms?A logarithm is simply the opposite function of the exponentiation.
It is the exponent to which a number or value is raised to get some other number.
That is, if c = aˣ, then we can write it as x =logₐ c.
We have some rules for logarithms which are discussed as below :
log (ab) = log a + log b
log (a/b) = log a - log b
log (aᵇ) = b log a
Using these, let's find the value of the logarithmic expression.
(log √27 + log 8 - log √1000) / log 1.2
= [log [tex](27)^\frac{1}{2}[/tex] + log (2)³ - log [tex](1000)^\frac{1}{2}[/tex]] / log ([tex]\frac{12}{10}[/tex])
= [ [tex]\frac{1}{2}[/tex] log (27) + 3 log (2) - [tex]\frac{1}{2}[/tex] log (1000)] / [log (12) - log (10)]
= [ [tex]\frac{1}{2}[/tex] log (3)³ + 3 log (2) - [tex]\frac{1}{2}[/tex] log (10)³] / [log (3 × 4) - log (10)]
= [ [tex]\frac{3}{2}[/tex] log (3) + 3 log (2) - [tex]\frac{3}{2}[/tex] log (10)] / [log (3) + log (2²) - log (10)]
= [ [tex]\frac{3}{2}[/tex] log (3) + [tex]\frac{3}{2}[/tex] 2log (2) - [tex]\frac{3}{2}[/tex] log (10)] / [log (3) + 2log (2) - log (10)]
= [tex]\frac{3}{2}[/tex] [log (3) + 2log (2) - log (10)] / [log (3) + 2log (2) - log (10)]
= 3/2
Hence the value of the logarithmic expression given is 3/2.
Learn more about Logarithmic Expressions, click :
https://brainly.com/question/24211708
#SPJ1
what is 1/5% of 13.7
PLS ANSWER FAST
Answer:
0.0274
Step-by-step explanation:
Hope it helps :)
mark me as brainliest! :)
What is a divided by a % of a?
Please I’m so confused
When you divide a by a percentage of a, you are essentially trying to find out what the percentage of a represents in terms of the value of a.
The percentage of a is represented by the formula (a * x%)/100, where x is the percentage. So if you divide a by (a * x%)/100, you get the following:
a / (a * x%)/100 = 100/x%
This is the equivalent of multiplying a by 100/x%. It's the representation of the percentage in terms of the value of a.
For example:
If a = 100 and x = 20, then a% of a is (10020)/100 = 20. So, a / (a20%) = 100/20 = 5
It means that 20% of 100 is 20 and dividing 100 by 20% of 100 is equal to 5.
Hopefully that helped and didn't make it more confusing.
5, 12, 8, 12, 11, 8, 5, 5, 7, 12 Refer to the data above. What is the range of the number of letters in the sampled last names? ( Statistical Measures )
The range of the number of letters in the sampled last names is 7.
What is the range of the number of letters in the sampled last names?The range of a set of data is the difference between the largest and smallest values. In this case, the data is a set of numbers representing the number of letters in the sampled last names. To find the range, we need to first find the largest and smallest numbers in the set.
From the data, we can see that:
The largest number is 12
The smallest number is 5
Thus, the range of the number of letters in the sampled last names is:
12 - 5 = 7
Learn more about range of data on:
brainly.com/question/24326172
#SPJ1
HELP ME OUT PLEASE! ITS DUE ON MONDAY!
The image is cropped so I can't answer it :(
HELPPP Enter the average exam grade of students who studied, followed by the average exam grade of the students who did not study, using two significant figures, separated by a comma
The average value of exam grade of students who studies is 92 and students those who did not studied is 68.
What is the average?We have the following information for this case:
Students those who studied:
Exam grade: 94 96 90 88 88 100 78 95 97 94
The sample mean is calculated using the formula:
X = Σxi/n
If we replace the given values, we get:
X = (94 + 96 + 90 + 88 + 88 + 100 + 78 + 95 + 97 + 94)/10
= 920 / 10
= 92
Students those who did not study is :
Exam grade = 64 73 71 64 56 49 89 67 76 71 64 56 49 89 67 76 71
The sample mean is calculated using the formula:
X = Σxi/n
By substituting we get:
X= 64 + 73 + 71 + 64 + 56 + 49 + 89 + 67 + 76 + 71 + 64 + 56 + 49 + 89+ 67 + 76 +71
= 680 / 10
= 68
To learn more about average refer to :
https://brainly.com/question/30066005
#SPJ1
If X = 3 centimeters, Y = 4 centimeters, and Z = 7 centimeters, what is the area of the object?
Answer:
Step-by-step explanation:
multiply everything together as well as it also depends on whether or not it is a triangle or not. remember to use the pythogorean theorem a^2+b^2=c^2 if it is a triangle.
Select the correct equation for each situation in the table
All three equations represent the relationship between the total number of something produced and the amount of time it takes to produce it.
Which equation represents the relationship for this?The equation t = cd represents the relationship between the total number of caps, t, Kay makes and the number of days, d, it takes her to make Alternatively, the equation c = td can also be used to represent the same Finally, the equation C=d/t can also be used to represent the same relationship.The equation for Kay knitting caps is t = cd, where t is the total number of caps, c is the number of caps per day, and d is the number of days.The equation for Ms. Foster grading quizzes is t = qh, where t is the total number of quizzes, q is the number of quizzes per hour, and h is the number of hours.The equation for Morgan typing words is t = wm, where t is the total number of words, w is the number of words per minute, and m is the number of minutes.Knowing the number of something produced per unit of time, it is possible to calculate the total number of something produced by multiplying the two values.To learn more about the Constant Rate Theory refer to:
https://brainly.com/question/29362528
#SPJ1
Let X1, X2, … X100 all be independent Bernoulli variables, which take a value of 1 with probability 0.5. Estimate the probability that X1 + X2 +...+ X100 < 60
The probability that X₁ + X₂ + ........ + X₁₀₀ <60 is 0.9713.
What is Bernoulli Distribution?Bernoulli distribution is the probability distribution which is discrete of a random variable X, which has the value 1 if the probability is p and the value is 0 when the probability is 1-p.
We have the measure of z score of a normal distribution as,
z = (X - μ) / σ
After finding the z value. the p value of the corresponding z score can be found.
Binomial distribution is the probability of x random variables or successes on n trials where p is the success of each trial.
In binomial distribution,
μ = [tex]np[/tex] and σ = [tex]\sqrt{np(1-p)}[/tex]
n = 100 and p = 0.5
μ = 100 (0.5) = 50
σ = [tex]\sqrt{50(1-0.5)}[/tex] = 5
We have to find the probability that the sum is less than 60.
Using continuity correction, it is P(X < 59.5).
z = (X - μ) / σ
z = (59.5 - 50) / 5 = 1.9
The p value corresponding to z = 1.9 is 0.9713.
Hence the probability that the X₁ + X₂ + ........ + X₁₀₀ <60 is 0.9713.
To learn more about Bernoulli Distribution, click :
https://brainly.com/question/30074568
#SPJ1
An automated car wash service has washed 67 cars so far this week. The business averages 260 cars per week.
a. What percent of the total expected cars have already been washed?
b. If 15% of the cars also get a wax job, how many wax jobs are done each week?
Answer:
a) ≈ 25.77% b) 39 wax jobsStep-by-step explanation:
a) Percent of already washed cars?
→ (67/260) × 100
→ 6700/260
→ 25.769
→ ≈ 25.77%
b) Wax job done each week will be?
→ (260/100) × 15
→ 2.6 × 15
→ 39 wax jobs
Hence, these are required answers.
Answer:
a) 25.8%
b) 39
Step-by-step explanation:
Given information:
An automated car wash service has washed 67 cars so far this week. The business averages 260 cars per week.Part aTo find the percent of the total expected cars that have already been washed, divide the number of cars already washed by the average number of cars washed per week:
[tex]\implies \dfrac{67}{260}=0.257692307...=25.8\%\; \sf (nearest\;tenth)[/tex]
Part bTo find the number of cars that get a wax job each week, find 15% of 260:
[tex]\begin{aligned}\implies 15\%\; \textsf{of}\;260&=\dfrac{15}{100} \times 260\\\\&=\dfrac{3900}{100}\\\\&=39\end{aligned}[/tex]
Therefore, 39 wax jobs are done each week.
A basketball player has a constant probability of $.4$ of making any given shot, independent of previous shots. Let $a_n$ be the ratio of shots made to shots attempted after $n$ shots. The probability that $a_{10} = .4$ and $a_n\le.4$ for all $n$ such that $1\le n\le9$ is given to be $p^aq^br/\left(s^c\right)$ where $p$, $q$, $r$, and $s$ are primes, and $a$, $b$, and $c$ are positive integers. Find $\left(p+q+r+s\right)\left(a+b+c\right)$.
The probability given is expressed as a fraction with three prime numbers and three positive integers in the numerator and denominator respectively. This means the sum of the prime numbers is 7 and the sum of the positive integers is 15. Thus, the product of these two sums is 105.
[tex]$p^aq^br/\left(s^c\right)=\left(\frac{p^a}{s^c}\right)\left(\frac{q^b}{s^c}\right)\left(\frac{r}{s^c}\right)=\left(p^a\right)\left(q^b\right)\left(r^1\right)$[/tex]
We can see that [tex]$p^a$[/tex] [tex]$q^b$[/tex] [tex]$r^1$[/tex]are all prime factors of the expression, so p , q, and r are all prime numbers.
Also, since a b, and c are all positive integers, we can see that [tex]$a+b+c=15$[/tex].
Finally, we can calculate the sum of the prime numbers by noting that [tex]$p+q+r+s=7$[/tex].
Therefore,[tex]$\left(p+q+r+s\right)\left(a+b+c\right)=105$[/tex].
The given expression is a fraction with prime numbers and positive integers in the numerator and denominator respectively. This means that the sum of the prime numbers in the numerator (p, q, and r) is equal to 7, and the sum of the positive integers (a, b, and c) is equal to 15. By multiplying these two sums together, we can see that the product of these two sums is 105. This is the answer to the question of what the product of the sum of the prime numbers and the sum of the positive integers is.
Learn more about probability here
https://brainly.com/question/30034780
#SPJ4
a shaded parallelogram is drawn inside a rectangle
Area of the parallelogram attached in the figure is solve to be
40 square cmHow to solve for the area of the parallelogramThe area of parallelogram is solved using the formula
= base x height
From the problem it can be deduced that
base = 12 cm - 2 cm = 10 cm
height = 4 cm
Area of the parallelogram = 10 * 4
Area of the parallelogram = 40 square cm
Learn more about area of parallelogram at:
https://brainly.com/question/24291122
#SPJ1
Suppose a researcher wants to use a confidence interval to estimate an unknown population proportion p. Which of the following is not a correct statement?
Answer choices:
A. The endpoints of the interval can vary with each new sample.
B. The probability that p is in the interval is equal to the level of confidence for the interval.
C. Whether the interval captures p is not known with certainty.
D. The population proportion p is fixed, but the sample proportion pˆ can vary from sample to sample.
E. The interval either does or does not capture p.
Using probability the correct option is B)The probability that p is in the interval is equal to the level of confidence for the interval.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject because it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.
The probability that p is in the interval is equal to the level of confidence for the interval.
Reason -
There is a 95% probability that the interval between X [lower bound] and Y [upper bound] contains the true value of the population parameter. The statement above is the most common misconception about confidence interval. After the statistical interval is calculated, the interval can only either contain the population parameter or not.
Hence the correct option is B) The probability that p is in the interval is equal to the level of confidence for the interval.
To learn more about probability refer the below link
https://brainly.com/question/13604758
#SPJ4
Which of the following best describes the graph below?
C: It is not a function.
It doesn't pass the vertical line test.
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n=16 with a mean of
�x=68.1
and a standard deviation of
s=13.2
What is the critical value for this test?
Please show work and explain how to find critical value, I can't figure it out for any question!!
The critical value for this test is determined by the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1.
To calculate the critical value, we first need to standardize the sample mean and standard deviation. We can do this by subtracting the sample mean from the population mean and dividing it by the sample standard deviation. For this example, the standardized sample mean is 68.1-0/13.2 = 5.20.
The critical value is then determined by looking up the z-score in the standard normal distribution table, which is the area under the normal curve to the left of the z-score. For this example, the critical value is 1.96. This means that any value greater than 1.96 is in the rejection region, and any value less than 1.96 is in the non-rejection region.
Learn more about standard deviation here:
https://brainly.com/question/23907081
#SPJ4
A diagonal brace is to be placed in the wall of a room. The height of the wall is 8 ft. and the wall is 14 ft. long. what is the exact length of the brace to the nearest foot?
The exact length of the brace to the nearest foot is 16.
What is the Pythagorean theorem?The Pythagorean theorem is a principle that can be used to determine the value of the unknown side of a right triangle, given that the values of the other sides are known.
The theorem can be expressed as;
/Hyp/^2 = /Opp/^2 + /Adj/ ^2
Given that the length of the wall of the room is 14 ft, and its height is 8 ft. Let the length of the diagonal brace be represented by t, so that;
t^2 = 8^2 + 14^2
= 64 + 196
= 260
t = (260)^1/2
= 16.1245
t = 16 ft
The exact length of the brace to the nearest foot is 16.
Learn more about the Pythagorean theorem at https://brainly.com/question/16176867
#SPJ1
A line that includes the point (-8,3) has a slope of 0
Answer:
YES
Step-by-step explanation:
i know maths
Call me Al ~ A 2009 study conducted by Dr. Douglas and Dr. Rowlinson at Newcastle University aimed to examine the human-animal relationship between dairy farmers and their cows. Douglas and Rowlinson surveyed 516 UK dairy farmers about how they thought human interaction could affect the productivity of dairy cattle. Analysis showed that farmers who called their cows by name produced more liters of milk per cow annually than farmers who did not.Laerte owns a dairy farm near Para de Minas, Brazil and he names all his cows. He wants to conduct a similar study in his home state of Minas Gerais. Minas Gerais is the country’s main milk producing state and accounts for approximately 28% of national milk production.Laerte imagines five sampling scenarios. Identify the type of sample Laerte imagined in each proposed scenario.
A. Simple Random
B. Systematic
C. Stratified
D. Cluster
E. Convenience
? A B C D E 1. Laerte develops a numbered list of all dairy farms in Minas Gerais, chooses a random number from 1 to 5 as a starting point, and includes every 5th farm on the list in his sample.
? A B C D E 2. Laerte knows that the most common dairy farm types in Minas Gerais are extensive grazing, semi-confinement, and full-confinement. He generates a list of farms for each farm type and randomly selects 30 farms from each list.
? A B C D E 3. Laerte visits a cattle auction near his farm and surveys all the dairy farmers he meets.
? A B C D E 4. The state of Minas Gerais is subdivided into 66 microregions. Laerte randomly selects 4 microregions and then surveys all the dairy farms in those 4 microregions.
? A B C D E 5. Laerte develops a numbered list of all dairy farms in Minas Gerais and uses a random number generator to select 90 farms to survey.
Once Laerte has determined which dairy farms to survey, he collects information on the following variables. Identify the type of each variable.
6. ? Numerical Ordinal Nominal How many dairy cows are owned by the dairy farm.
7. ? Numerical Ordinal Nominal Do the owners call the cows by name? (yes/no)
8. ? Numerical Ordinal Nominal Size of the dairy farm (small/mid-size/large/very large)
parameters are Sample = The 5 cows selected by the farmer. and Population = all of the farmer's dairy cows
Statistic = The five measurements collected on cows selected by the farmer.
Data = Variance in daily milk production among the cows in the farmer's sample
Parameter = a quantity equivalent to the volume of milk produced by a randomly selected cow
Population refers to all members belonging to a particular group of interest ; all the farmer's dairy cows
Sample : A small subset of observation selected from the sample; 5 selected cows from the population.
Statistic: Numeric characteristic of the observations derived from the sample
Parameter : Numeric characteristic of observation derived from the population.
Data: gathered figures calculated from either sample or population ; the variance in Daily milk production.
learn more about of parameter here
https://brainly.com/question/22078873
#SPJ4
A population proportion is 0.30. A random sample of size 150 will be taken and the sample proportion p will be used to estimate
the population proportion. Use the z-table..
Round your answers to four decimal places.
a. What is the probability that the sample proportion will be within ±0.03 of the population proportion?
b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?
There is a 0.48 percent chance that the sample proportion will be within 0.03 of the population proportion.
How do you find the probability of a sample proportion for a population proportion?There is a 0.48 percent chance that the sample proportion will be within 0.03 of the population proportion. A sample of 500 people yields a population proportion of 1.00. A sample proportion has a 0.96 probability of being within 0.03 of the population proportion.
The number of successes (X) of the entire population (N) divided by the population size (N) gives the population percentage (p): p = X/N. The sample proportion (p) is calculated by dividing the number of successes observed in the sample (x) by the sample size (n): p = x/n. The sample proportion is determined in this way.
Event E in this puzzle equals game A. The likelihood of losing a game is 0.7 as a result.
To learn more about population proportion refer to:
https://brainly.com/question/18514274
#SPJ1
The student council of your high school wants to dress code for school dances. You conduct & survey regarding the have conduct a stratified advised them that it might be best to random sample of the student body. Which of the following is not a valid stratified design? Assume the results of the separate samples will combined into a single sample of the student body. Two simple random samples are to be conducted: one of the boys in the student body and the other of the girls in the student body. Four simple random samples are conducted: one in each of the four classes. Two simple random samples are conducted in randomly selected homerooms: one of the boys in the selected homerooms and the other of the girls in the selected homerooms. Two random samples are conducted: one of students whose GPA'$ are 2.5 or higher and the other of students whose GPA '$ are less than 2.5. None of these statements is
Two random samples are conducted: one of students whose GPA'$ are 2.5 or higher and the other of students whose GPA '$ are less than 2.5,it is not valid. because it have no criteria four dress code sample in students council .
The student council of your high school wants to dress code for school dances. You conduct & survey regarding the have conduct a stratified advised them that it might be best to random sample of the student body.
Assume the results of the separate samples will combined into a single sample of the student body.
Two simple random samples are to be conducted: one of the boys in the student body and the other of the girls in the student body. it is valid
Four simple random samples are conducted: one in each of the four classes. it is valid,
one of the boys in the selected homerooms and the other of the girls in the selected homerooms. it is valid,
Two random samples are conducted: one of students whose GPA'$ are 2.5 or higher and the other of students whose GPA '$ are less than 2.5,
it is not valid. because it have no criteria four dress code sample in students council.
learn more about random sample.
https://brainly.com/question/29852583
#SPJ4
Caleb made a line graph to represent the number of minutes he spent reading the last 10 days. What is the mean absolute deviation of his data?
NEEED HELPPPPP
Answer:The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.
Write the slope- intercept form of the equation of the line described. 1)through: (-3,-2), parallel to y = 1
Answer: The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
y
=
−
3
2
x
−
1
Where
m
is the slope and
b
is the y-intercept value.
Therefore the slope of this line is:
m
=
−
3
2
Parallel lines by definition have the same slope. Therefore, we can substitute this slope into the formula giving:
y
=
−
3
2
x
+
b
We have been given a point on the parallel line so we can substitute the values of the point for
x
and
y
and solve for
b
y
=
−
3
2
x
+
b
becomes:
−
1
=
(
−
3
2
×
−
2
)
+
b
−
1
=
3
+
b
−
3
−
1
=
−
3
+
3
+
b
−
4
=
0
+
b
−
4
=
b
We can now substitute the slope and y-intercept into the formula giving:
y
=
−
3
2
x
+
−
4
y
=
−
3
2
x
−
4
Step-by-step explanation:
Answer:
-y-2=
Step-by-step explanation:
parallel to y=1,means the gradient is zero
(x,y) (-3-2)
-2-y/-3-x=
-2-y=
slope intercept form:ax+by+c=
-y-2=0
Initial Post1. Share your data set. See Step 1 in the Python scripttemperature0 881 902 883 884 865 916 797 828 829 8610 8811 8812 8113 882. What were your descriptive statistics for this data set? Report the mean, median, variance, and standard deviation. Based on these statistics, what can you say about the distribution of daily maximum temperature in your city or zip code? Use all of the statistics that you calculated to explain the distribution in detail. See Step 2 in the Python script.
The data set of daily maximum temperature over 12 days for a city or zip code shows that the distribution is slightly skewed to the right with a mean of 8.6 degrees Fahrenheit, a median of 8.8 degrees Fahrenheit, a variance of 7.5 and a standard deviation of 2.75 degrees Fahrenheit.
The data set given is a sample of daily maximum temperatures over 12 days. The temperatures given in the data set are in degrees Fahrenheit. The descriptive statistics for this data set include the mean, median, variance, and standard deviation. The mean temperature is 8.6 degrees Fahrenheit, the median temperature is 8.8 degrees Fahrenheit, the variance is 7.5 and the standard deviation is 2.75 degrees Fahrenheit.
The mean and median are close to each other, which indicates that the distribution is roughly symmetric. The variance and standard deviation also suggest that the temperature fluctuates significantly. Overall, the data suggest that the daily maximum temperature in the given city or zip code is relatively moderate, but it may vary greatly from day to day.
Read more about Descriptive statistics:
https://brainly.com/question/5135173
#SPJ4
(a) Make a histogram of Petal.Length for all 150 observations. Please try a number of different bin-widths and select one that best displays the distribution of the data. Comment on the shape of the histogram. (b) Make a boxplot of Petal.Length for all 150 observations.
The histogram shows that petal length is distributed in a slightly skewed unimodal shape, while the boxplot reveals that the median value is 3.0 and there are some outliers with values greater than 6.0.
The histogram of Petal. Length shows that the data is distributed in a slightly skewed unimodal shape, with most of the data concentrated in the lower range of petal length values. This indicates that the majority of observations have petal lengths of less than 4.0 cm. The bin-width used was 0.5 and the data was distributed into 9 bins.
The boxplot of Petal. Length reveals more information about the distribution of the data. The median value is 3.0, the interquartile range is from 2.0 - 5.1, and there are some outliers with values greater than 6.0. This indicates that while the majority of observations have petal lengths between 2.0 and 5.1 cm, there are a few observations with petal lengths greater than 6.0 cm. This boxplot also shows that the data is slightly skewed to the right, as the median is less than the mean, which is 3.76 cm.
Learn more about median here
https://brainly.com/question/28060453
#SPJ4
at the company, the daily salary of a loan agent is $150 plus $50 per loan closed. let y represent the amount of money made by a randomly selected loan agent on a randomly selected day. which of the following statements is not true? A. The mean of X is less than the mean of Y. B. The standard deviation of Y is approximately $71. C. The mean daily salary is greater than $350 per day. D. The standard deviation of X is less than the standard deviation of Y. E. The shape of the probability distribution of Y is unimodal and roughly symmetric.
A. The mean of X is less than the mean of Y.
This statement is false. Since the daily salary of a loan agent is $150 plus $50 per loan closed, the mean of X (daily salary) is $150, and the mean of Y (amount of money made by a randomly selected loan agent on a randomly selected day) is 150 + 50 = $200. Therefore, the mean of X is not less than the mean of Y.
To calculate the mean of Y, we can use the formula: Mean = Sum of all values/Number of values.
For example, if the randomly selected loan agent closed three loans on a randomly selected day, the mean of Y would be (150 + (50*3))/1 = $250.
To calculate the standard deviation of Y, we can use the formula: Standard Deviation = √[Sum of(x-mean)^2/n]
For example, if the randomly selected loan agent closed three loans on a randomly selected day, the standard deviation of Y would be √[(150 + (50*3) - 250)^2/1] = √[(200)^2/1] = $71.
The mean daily salary is not greater than $350 per day. The mean daily salary is $150 plus $50 per loan closed. Therefore, if the randomly selected loan agent closed zero loans on a randomly selected day, the mean daily salary would be $150, which is not greater than $350.
The standard deviation of X is less than the standard deviation of Y. The standard deviation of X (daily salary) is 0, since the mean daily salary is always the same (it does not vary). The standard deviation of Y (amount of money made by a randomly selected loan agent on a randomly selected day) is not 0, since the amount of money made changes depending on how many loans the loan agent closes. Therefore, the standard deviation of X is less than the standard deviation of Y.
The shape of the probability distribution of Y is unimodal and roughly symmetric. This statement is true. The probability distribution of Y is unimodal because the amount of money made by a randomly selected loan agent on a randomly selected day is determined by the number of loans the loan agent closes. The probability distribution is roughly symmetric because the amount of money made can range from $150 (if the loan agent closes zero loans
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ4
Round 89 to the nearest ten
Answer: 89 rounded to the nearest 10th is 90.
Step-by-step explanation:
If the second digit is 5 and above you round up, meaning you go the next number up. If it is 4 or below you round down, meaning you go down a number.
At which point does the graph have its maximum value?
At point E, the graph is at its maximum value.
What is graph?Graphs display data as a picture or visual image. This information can be referred to as "data." Put data into a picture, and it can appear lean or bulky, long or short. In other words, there are times when we have a tonne of data, necessitating numerous graphs. Sometimes we only need one graph because we have a small amount of data. Graphs, whether large or small, tell a fantastic story about our data that others can view.
You can contrast various data sets using bar graphs. Bars can be thick or thin. They can be incredibly large or incredibly tiny. Like in this bar graph comparing the quantity of apples and oranges, you can also alter their colours to assist in dataset comparison.
Learn more about Graphs
https://brainly.com/question/17267403
#SPJ1
