Answer:
m = 0 or slope = 0
Step-by-step explanation:
which statement is true in this equation?
Answer:
B) Stan made a mistake in step one.
Step-by-step explanation:
B) Stan made a mistake in step one.
When he multiplied 8(n+20), he should have gotten 8n+160, not 8n+20.
Answer:
B
Step-by-step explanation:
He made a mistake in Step: 1
it's supposed to be
n+8n+8(20)=110
distributive property
Hope this helps :)
The function f (x )equals 2.9 square root of x plus 20.1, models the median height, f(x), in inches, of boys who are x months of age and for girls the function is f (x )equals 3.1 square root of x plus 19. Use a calculator to find the median height for both a boy and a girl who is 24 months old. Repeat the process for a child 48 months old. The actual median height for boys 48 months old is 40.8 inches and 40.2 inches for girls 48 months old. Does the model overestimate or underestimate the actual median heights and by how much
Answer:
Kindly check explanation
Step-by-step explanation:
Given the models for the median height of biys and giels:
BOY:
f(x) = 2.9√x + 20.1
GIRL:
f(x) = 3.1√x + 19
If x = 24 months
BOY:
HEIGHT = 2.9√24 + 20.1
= 2.9× 4.8989794 + 20.1
= 14.207040 + 20.1
= 34.307 inches
GIRL:
HEIGHT = 3.1√24 + 19
= 3.1 × 4.8989794 + 19
= 15.186836 + 19
= 34.1868 inches
If x = 48
Boy:
HEIGHT = 2.9√48 + 20.1
= 2.9× 6.9282032 + 20.1
= 20.091789 + 20.1
= 40.19 inches
Actual median height = 40.8
Hence, model underestimates by (40.80 - 40.19) = 0.61 inches
Girl:
HEIGHT = 3.1√48 + 19
= 3.1 × 6.9282032 + 19
= 21.477430 + 19
= 40.48 inches
Actual median height = 40.20
Hence, model overestimates by (40.48 - 40.20) = 0.28 inches
-3 is less than or equal to W and W is less than or equal to 4
Answer:
-3 ≤ W ≤ 4
I hope this helps!
35,892 rounded nearest hundred
Answer:
35,900
Step-by-step explanation:
92 is higher than 50
The department of transportation in a particular city knows from past records that 27% of workers in the downtown district use the subway system each day to commute to and from work. The department suspects that this proportion has increased owing to decreased parking spaces in the downtown district. A random sample of 130 workers in the downtown district showed that 49 used the subway daily. Test the claim at the 5% level of significance. What is the value of sample statistics
Answer:
We conclude that the proportion has increased owing to decreased parking spaces in the downtown district.
Step-by-step explanation:
We are given that the department of transportation in a particular city knows from past records that 27% of workers in the downtown district use the subway system each day to commute to and from work.
A random sample of 130 workers in the downtown district showed that 49 used the subway daily.
Let p = population proportion of workers in the downtown district use the subway system each day to commute to and from work.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]p \leq[/tex] 27% {means that the proportion has decreased or remain equal owing to decreased parking spaces in the downtown district}
Alternate Hypothesis, [tex]H_A[/tex] : p > 27% {means that the proportion has increased owing to decreased parking spaces in the downtown district}
The test statistics that will be used here is One-sample z-test statistics for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{p(1- p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample proportion of workers who used the subway daily = [tex]\frac{49}{130}[/tex] = 0.38
n = sample of workers = 130
So, the test statistics = [tex]\frac{0.38-0.27}{\sqrt{\frac{0.27(1-0.27)}{130} } }[/tex]
= 2.825
The value of z-test statistics is 2.825.
Now, at a 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.
Since the value of our test statistics is more than the critical value of z as 2.825 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we conclude that the proportion has increased owing to decreased parking spaces in the downtown district.
when rolling a die (1) what's the probability of getting an even number in two successive throws??
Answer: I think it would be a 50/50 chance of getting 2 even numbers.
Let A be the set of all integers which are 3 more than some perfect square. Here are some examples of such integers are: 4 = 1 + 3, 7 = 4 + 3, 3 = 0 + 3, 28 = 25 + 3, Write out the set A as succinctly as you can, using the set-builder notation.
Answer:
[tex]A = \{x|x\ E\ n^2 + 3, n \geq 0 \}[/tex]
Step-by-step explanation:
Required
Represent set A using set-builder notation
First, we need to understand the general rule:
[tex]0^2 + 3 = 0 + 3 = 3[/tex]
[tex]1^2 + 3 = 1 + 3 = 4[/tex]
[tex]2^2 + 3 = 4 + 3 = 7[/tex]
[tex]5^2 + 3= 25 + 3 = 28[/tex]
-----
--
--
In general, we can write it as:
[tex]n^2 + 3[/tex]
Next, is to determine the values of n;
Since [tex]n^2[/tex] is a perfect square of [tex]n[/tex], then, the values of n is 0,1,2,3,.....
Hence; Set A can be represented as: [tex]A = \{x|x\ E\ n^2 + 3, n \geq 0 \}[/tex]
Jamie has a half-sheet cake. If she has six friends, how much will each one get?
A. 1/4
B. 1/12
C. 1/3
D. 1/6
Answer:
The answer is B. 1/12Step-by-step explanation:
step one:
From the problem state, we can actually conclude that Jamie wants to share the half sheet of cake among her 6 friends
step two:
we can express this problem mathematically as
[tex]=\frac{1}{\frac{2}{6} }[/tex]
we can inverse the denominator and use a multiplication sign instead
[tex]\\\\= \frac{1}{2}*\frac{1}{6}[/tex]
multiplying both denominators we have
[tex]\\\\= \frac{1}{12}[/tex]
The answer is B 1/12
The magnitude of an earthquake depending on the energy it produces can be modeled using the equation
M = 0.6666 log x - 3.2. Complete the sentences about the model.
The curve representing the relationship includes the point
The growth factor is
An earthquake with an energy level of has a magnitude of
Answer:
Step-by-step explanation:
John bought 15 cookies and ate 3 of them what %of the cookies
Answer:
1200% I think hats what the calculator says
Step-by-step explanation:
I NEED THIS DONE SOON Find the solution set if the replacement set is b = {3, 3.5, 4, 4.5, 5} 28/b+9 = 16
Use a scale of 2km to 1cm to find the length of a road
15km.
A. 6.0CM
B. 6.5CM
C. 7.0CM
D. 7.5CM
Question 14 of 60
Calculate the distance covered by running round a
circular field of radius 3.5cm
2 km = 1 cm
To Find:The length of the road of 15 km.
Solution:2 km = 1 cm
1 km = 1/2 = 0.5 cm
15 km = 0.5 × 15 = 7.5
Answer:The length of the road is 7.5 cm.
Therefore, Option D. 7.5 cm is correct.
On what percent of days did it actually rain? 24.9% (Round to one decimal place as needed.) b) On what percent of days was rain predicted? nothing% (Round to one decimal place as needed.) c) What percent of the time was the forecast correct? nothing% (Round to one decimal place as needed.)
This question is incomplete, the complete question is;
Just how accurate are the weather forecasts we hear everyday? The table compares the daily forecast with a city's actual weather for a year.
FORECAST ACTUAL
Forcast Rain No Rain
Rain 28 63
No Rain 7 267
a) On what percent of days did it actually rain? 24.9% (Round to one decimal place as needed.)
b) On what percent of days was rain predicted? nothing% (Round to one decimal place as needed.)
c) What percent of the time was the forecast correct? nothing% (Round to one decimal place as needed.)
Answer:
a) the percentage of days it actually rained = 9.6%
b) percentage of days rain was predicted = 24.9%
c) percentage of days forecast was correct = 80.8%
Step-by-step explanation:
First we get the total number of days;
28 + 63 + 7 + 267 = 365 days
a)
days it actually rained = ( 28 + 7 ) = 35
now the percentage of days it actually rained
35/365 × 100 = 9.58% ≈ 9.6%
b)
days rain was predicted = ( 28 + 63 ) = 91
now percentage of days rain was predicted
91/365 × 100 = 24.93% ≈ 24.9%
c)
days forecast was correct = ( 28 + 267 ) = 295
now percentage of days forecast was correct
295/365 × 100 = 80.82% ≈ 80.8%
Multiply (−7)(2)(−2). −28 −14 28 14
Answer:
43,025,92
Step-by-step explanation:
Answer:
The answer to this question is 28 because -7 times 2 equals 14 times -2 equals 28
Can some fill this out for me please!!!
Answer:
Q2
a) 8 + - 8 = 0
b) -20 + 20 = 0
c) a+ - a = 0
Q3
3) Identity property
Answer:
1) 8 + - 8 = 0
2) -20 + 20 = 0
3) a+ - a = 0
Q3
3) Identity property
Step-by-step explanation:
A textbook has 500 pages on which typographical errors could occur. Suppose that there are exactly 10 such errors randomly located on those pages. Find the probability that a random selection of 50 pages will contain no errors. Find the probability that 50 randomly selected pages will contain at least two errors.
Answer:
The probability of a selection of 50 pages will contain no errors is 0.368
The probability that the selection of the random pages will contain at least two errors is 0.2644
Step-by-step explanation:
From the information given:
Let q represent the no of typographical errors.
Suppose that there are exactly 10 such errors randomly located on a textbook of 500 pages. Let [tex]\mu[/tex] be the random variable that follows a Poisson distribution, then mean [tex]\mu = \dfrac{10}{500}= 0.02[/tex]
and the mean that the random selection of 50 pages will contain no error is [tex]\lambda = 50 \times 0.02 =1[/tex]
∴
[tex]Pr(q= 0) = \dfrac{e^{-1} (1)^0}{0!}[/tex]
Pr(q =0) = 0.368
The probability of a selection of 50 pages will contain no errors is 0.368
The probability that 50 randomly page contains at least 2 errors is computed as follows:
P(X ≥ 2) = 1 - P( X < 2)
P(X ≥ 2) = 1 - [ P(X = 0) + P (X =1 )] since it is less than 2
[tex]P(X \geq 2) = 1 - [ \dfrac{e^{-1} 1^0}{0!} +\dfrac{e^{-1} 1^1}{1!} ][/tex]
[tex]P(X \geq 2) = 1 - [0.3678 +0.3678][/tex]
[tex]P(X \geq 2) = 1 -0.7356[/tex]
P(X ≥ 2) = 0.2644
The probability that the selection of the random pages will contain at least two errors is 0.2644
The possibility of a random selection of 50 pages will contain at least two errors is [tex]0.264242[/tex].
To understand the calculations, check below
Probability:Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are to happen, using it.
Let [tex]X[/tex] denotes the number of errors on [tex]50[/tex] randomly selected pages.
[tex]X\sim Poisson(\frac{50}{500}\ast 10)[/tex] or [tex]X\sim Poisson(1)[/tex]
The probability mass function of [tex]X[/tex] is,
[tex]P\left ( X=x \right )=\frac{e^{-1}\ast 1^{x}}{x!}=0,1,2...[/tex]
Now,
The probability that a random selection of [tex]50[/tex] pages will contain no errors,
[tex]=P\left ( X=0 \right ) \\ =\frac{e^{1}\ast 1^{0}}{0!} \\ =0.367879[/tex]
Learn more about the topic of Probability: https://brainly.com/question/19032615
Solve the equation 3x+5=20
Answer:
x = 5
Step-by-step explanation:
Let's simplify this by subtracting 5 from both sides:
3x = 15
Isolate x by dividing both sides by 3:
x = 5
You divide a number by 3 add 6 then subtract 7. The result is 4 what is the number?
Hey there! I'm happy to help!
Let's call our number n. Here is the info we have.
(n/3)+6-7=4
We combine like terms.
(n/3)-1=4
We add 1 to both sides.
n/3=5
We multiply both sides by 3.
n=15.
Have a wonderful day! :D
what is the value of x? 42 45 3 15
Answer:
125 is the value of the question
A wild animal generally stays at least x mi from the edge of a forest. For a rectangular forest preserve that is 2 mi
long and 5 mi wide, write a polynomial that represents the area of the available habitat for the wild animal.
(Note: diagram not drawn to scale)
Answer:
[tex]Area = 4x^2 - 14x + 10[/tex]
Step-by-step explanation:
See Attachment for Complete Question
Given
[tex]Width = 5mi[/tex] --- For the forest
[tex]Length = 2mi[/tex] -- --- For the forest
Required
Determine the area of the habitat
Since the distance between the animal's habitat is x mi on both sides;
The length and width of the habitat is:
[tex]Width = 5 - (x + x)[/tex]
[tex]Width = 5 - 2x[/tex]
[tex]Height = 2 - (x +x)[/tex]
[tex]Height = 2 - 2x[/tex]
The area is then calculated as follows;
[tex]Area = Width * Height[/tex]
[tex]Area = (5 - 2x) * (2 - 2x)[/tex]
Expand
[tex]Area = 5(2 - 2x) -2x(2 - 2x)[/tex]
Open Brackets
[tex]Area = 10 - 10x - 4x + 4x^2[/tex]
[tex]Area = 10 - 14x + 4x^2[/tex]
Reorder
[tex]Area = 4x^2 - 14x + 10[/tex]
Hence; the required polynomial for the habitat area is:
[tex]Area = 4x^2 - 14x + 10[/tex]
1) 16 is 45% of what Number
2) 5 is what percent of 18 ?
my teacher gave us the answer but can you show how you did it the Cross multiply method thank you
Answer:
i solved it .I hope you got it too
plz mark brainliest.
How do you do this question?
Answer:
p > 0
Step-by-step explanation:
∫₂°° e^(-px) dx
= ∫₂°° (e⁻ᵖ)ˣ dx
This is a geometric series.
A geometric series a(r)ˣ converges if -1 < r < 1.
-1 < e⁻ᵖ < 1
Since e⁻ᵖ is always positive:
e⁻ᵖ < 1
-p < 0
p > 0
Ivan has $8.75 in nickels and quarters in his desk drawer. The number of nickels is twice the number of quarters. How many coins of each type does he have?
Answer:
25 quarters50 nickelsStep-by-step explanation:
Since there are 2 nickels for every quarter, we can group the coins into groups consisting of 1 quarter and 2 nickels. Such a group will be worth 35 cents. So, the number of groups in $8.75 is ...
$8.75/$0.35 = 25
25 groups of coins will have ...
25 quarters
50 nickels
If 6 more than the product of a number and - 2 is greater than 10, which of the following could be that number?
Answer:
-2x + 6 > 10
Step-by-step explanation:
Let the unknown number be x
the product of x and -2 is -2x
6 more than -2x is written as
-2x + 6
if the result of the above is greater than 10, then
-2x + 6 > 10
translate one half of a number is four into an equation
Answer:
(3/2)x=4
Step-by-step explanation:
Pretty self explanatory. X is the number.
7p = 644 solve for the variable
Answer:
p=92.
Step-by-step explanation:
7p=644
/7 /7 -----> divide by 7 on both sides
_______
p=92
Hope this helps!
Answer:
Divide both sides of the equation by 7
The variable is 92
Step-by-step explanation:
Which of the following groups of users is the least affected by a company's accounting information? people who invest money in the company (investors), people who lend money to the company (creditors), people who run the company (the board of directors), people who buy the company’s products or services (customers)
Answer:
People who buy the company's products or services (customers)
Step-by-step explanation:
evaluate -12 + 5= PLEASE HELP IF YOU KNOW THE ANSWER PLEASE SHOW WORK!? THANK YOU!
Answer:
-7
Step-by-step explanation:
Answer:
-12+5=-7
this is similar to having a debt of $12 when you pay $5 when you pay $5 you are left with a debt of $7 so the answer is -7
Sarah is currently making $31,000 a year at her job and has been offered a raise to $33,170 per year. What would be the percent increase in her salary?
Answer:
7%
Step-by-step explanation:
The percentage increase is found as ...
increase/original × 100%
= (33170 -31000)/31000 × 100%
= 2170/31000 × 100% = 7%
Sarah's increase would be 7%.
What is the best base unit that is used to measure distance
Answer:
The correct answer is centimeter.
