Choose the graph that represents the equation below: y = 8x + 4

The probability that X₁ + X₂ + ........ + X₁₀₀ <60 is 0.9713.

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

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.

All three equations represent the relationship between the total number of something produced and the amount of time it takes to produce it.

To learn more about the Constant Rate Theory refer to:

https://brainly.com/question/29362528

#SPJ1

There is a 0.48 percent chance that the sample proportion will be within 0.03 of the 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

When a graph is translated to the right by a units, the x-coordinate of each point on the graph increases by a units. So the equation of the transformed function will have x - a in it.

When a graph is translated down by b units, the y-coordinate of each point on the graph decreases by b units. So the equation of the transformed function will have y - b in it.

Given f(x) = |x| + 5 and the graph of f(x) is transformed into the graph of g(x) by a translation of 4 units right and a translation of 3 units down, the equation of the transformed function g(x) will be:

g(x) = f(x - 4) - 3

This is because the x-coordinate increases by 4 units and the y-coordinate decreases by 3 units.

So the equation of g(x) is:

g(x) = |x-4| + 5 - 3

g(x) = |x-4| + 2

This function g(x) will have the same shape as f(x) but shifted 4 units to the right and 3 units down.

Answer:

This function g(x) will have the same shape as f(x) but shifted 4 units to the right and 3 units down.

Step-by-step explanation:

By removing both of the equations in system A and by bringing the first equation of system A, we may create system B from system A.

Multiple equations are compiled into systems of equations.

5x+y=3

4x−7y=8

System B

5x+y=3

x+8y=−5

1) From System A, how do we go to System B?

CORRECT (SELECTED) (SELECTED)

Substitute the difference or sum of the two equations in one equation.

2) Are the systems equal in the light of the prior response? Do they share the same solution, in other words?

CORRECT (SELECTED) (SELECTED)

Yes

As a result, we can obtain system B from system A by Subtracting the solutions to the two equations in system A

Additionally, by rewriting system A's initial equation

Read more about systems of equations at:

brainly.com/question/12895249

#SPJ4

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 positive or negative integer that represents the situation, M = + $25

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

Answer 3:

At the end of the first hour, there would be 5 amoebas from the first group and 53=15 amoebas from the second group, a total of 5+15 = 20 amoebas.

At the end of the second hour, there would be 55 = 25 amoebas from the first group and 153 = 45 amoebas from the second group, a total of 25+45 = 70 amoebas.

At the end of the third hour, there would be 5^3 = 125 amoebas from the first group and 453 = 135 amoebas from the second group, a total of 125+135 = 260 amoebas.

Answer 4:

Using the formula N = No eRt where N is the population, No is the initial population, R is the exponential growth rate, and t is the time in days.

N = 104 * e^(0.11714) = 1042.813 = 292.56, rounded to the nearest rabbit would be 293.

So, the population of rabbits after 14 days would be 293.

The value of (log √27 + log 8 - log √1000) / log 1.2 is 3/2.

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

Area of the parallelogram attached in the figure is solve to be

The 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

the product of any three (not necessarily distinct) elements of T is in T and that the product of any three elements of U is in U, show that at least one of the two subsets T, U is closed under multiplication.

Let S be a subset of R that is closed under multiplication (that is, if a and b are in S, then so is ab). Let Tand Ube disjoint subsets of S whose union is S .Given that the product of any three (not necessarily distinct) elements of T is in T and that the product of any three elements of U is in U, show that at least one of the two subsets T, U is closed under multiplication.

We start out with the assumption that neither T nor U is closed under multiplication and use proof by contradiction to prove that at least one of T or U must be closed under multiplication.

If t1, t2 ,t3 ∈T and u1 ,u2 , u3 ∈U, it is given by the problem that t1⋅t2⋅t3∈T

and u1⋅u2⋅u3∈U. Also, T and U are disjoint subsets of S and therefore, T∩U = ∅ Now let t3=u1⋅u2 and u3=t1⋅t2. These statements are valid because T and U are not closed under multiplication, so the product of u1⋅u2 must not be in the set U and the product of t1⋅t2 must not be in set T.

Then t1⋅t2⋅t3∈T is equivalent to t1⋅t2⋅u1⋅u2∈Tand u1⋅u2⋅u3∈U is equivalent to u1⋅u2⋅t1⋅t2∈U

However, this is a contradiction because these products both are the same —t1⋅t2⋅u1⋅u2— but T∩U= ∅ because Tand U are disjoint. Then the original assumption that "neither T nor U is closed under multiplication" must have been wrong, and at least one of T or U must be closed under multiplication.

learn more about subset.

https://brainly.com/question/23454979

#SPJ4

.

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

Answer:

2/5 = w

Step-by-step explanation:

area = length x width

1/4 = 5/8w

isolate 'w' by dividing each side by 5/8

remember, when dividing fractions you must multiply by the reciprocal

1/4 x 8/5 = w

8/20 = w

simplify:

2/5 = w

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

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

The image is cropped so I can't answer it :(

Answer: V≈2144.66m³

Step-by-step explanation:

C: It is not a function.  

It doesn't pass the vertical line test.

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.

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.

The exact length of the brace to the nearest foot is 16.

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

The average value of exam grade of students who studies is 92 and students those who did not studied is 68.

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

The liters of water that will completely fill the test tube, can be found to be 0. 0084 liters.

Both cubic centimeters and liters can be used to describe the volume of an object in terms of the amount of fluid that can fill them up.

A liter can be converted to be 1, 000 cubic centimeters.

This means that if a test tube has a volume of 8. 4 cubic centimers, it can be filled up by:
= 8. 4 / 1, 000

= 0. 0084 liters of water

Find out more on volume at https://brainly.com/question/29252790

#SPJ1

Answer: 3/4

Step-by-step explanation:why do u need explaination]

Answer:

0.0274

Step-by-step explanation:

Hope it helps :)

mark me as brainliest! :)

The solution to the radical equation is 9/7

From the question, we have the following radical equation

√4z²-13z+9+3∛=3z

Complete the equation

So, we have the following representation

√4z² -13z + 9 + 3∛27 = 3z

Evaluate the radicals

The equation becomes

2z - 13z + 9 + 3 * 3 = 3z

So, we have

2z - 13z + 9 + 9 = 3z

Evaluate the like terms

So, we have the following

14z = 18

Divide both sides by 14

z = 9/7

Hence, the solution is 9/7

Read more about radical equation at

https://brainly.com/question/12052952

#SPJ1

The volume of the ark is about 1.44 million cubic feet.

What is unit conversion mean?

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

First, we need to convert the measurements from cubits to inches.

We know that one cubit is equal to six palms and that one palm is equal to 2.5 inches. So, we can convert the measurements of the ark by multiplying the number of cubits by the number of inches per cubit:

Length of ark = 300 cubits x 6 palms/cubit x 2.5 inches/palm = 4500 inches

Width of ark = 50 cubits x 6 palms/cubit x 2.5 inches/palm = 750 inches

Height of ark = 30 cubits x 6 palms/cubit x 2.5 inches/palm = 450 inches

Next, we can find the volume of the ark by multiplying these dimensions together:

Volume of ark = 4500 inches x 750 inches x 450 inches = 1.42 x 10^9 cubic inches

Finally, we can convert cubic inches to cubic feet by dividing by the conversion factor of 1 cubic foot = 12 x 12 x 12 cubic inches.

1.42 x 10^9 cubic inches / (12x12x12 cubic inches/cubic foot) = 1.44 x 10^6 cubic feet

Hence, the volume of the ark is about 1.44 million cubic feet.

To learn more about the unit conversion visit,

https://brainly.com/question/141163

#SPJ1

The greatest integer x is 3  in the given expression.

Some function [] rounds DOWN a number to the nearest integer. For example [1.5]=1, [2]=2, [-1.5]=-2

A number can be an integer if it is both whole and negative. Accordingly, a set of integers is formed if we combine negative numbers with whole numbers. An integer is a positive or negative number, including zero, that has no decimal or fractional parts. -5, 0, 1, 5, 8, 97, and 3, 043 are a few examples of integers. Z is the symbol for a collection of integers.

Thus

[-1.6]+[3.4]+[2.7]

=-2+3+2

=3

The greatest integer function rounds off the given number to the nearest integer. Hence, the formula to find the greatest integer is very simple.

To learn more about fraction refers to;

https://brainly.com/question/10354322

#SPJ1

Answer:

Step-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:

To 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]

To 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.