Find the area of this shape!!

Answer:

a) The mean is 0.15 and the standard error is 0.056.

b)  1. Yes

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportions p, in samples of size n, the mean is \(\mu = p\) and the standard error is \(s = \sqrt{\frac{p(1-p)}{n}}\). The Central Limit Theorem applies is np > 5 and np(1-p)>5.

In this question:

\(n = 40, p = 0.15\)

So

(a) Find the mean and the standard error of the distribution of sample proportions.

\(\mu = 0.15, s = \sqrt{\frac{0.15*0.85}{40}} = 0.056\)

So the mean is 0.15 and the standard error is 0.056.

(b) Is the sample size large enough for the Central Limit Theorem to apply?

np = 40*0.15 = 6 > 5

np(1-p) = 40*0.15*0.85 = 5.1>5

So yes

The standard error of the distribution of sample proportions is 0.056 and mean is 0.15.

Yes, the sample size is enough for the Central Limit Theorem to apply.

(a). Given that, size of sample, \(n=40\)

        Proportion, \(p=0.15\)

In the distribution of sample proportions, mean \(\mu=p\)  

and, standard error = \(\sqrt{\frac{p(1-p)}{n} }\)

So, mean \(\mu=0.15\)

Standard error =\(\sqrt{\frac{0.15(1-0.15)}{40} }=0.056\)

(b). The Central Limit Theorem applies if np > 5 .

 \(np=40*0.15=6>5\)

Thus, the Central Limit Theorem is applied.

Learn more:

https://brainly.com/question/22233199

The answer will be 0. 10 >  0. 01 . Option B

Given the values as;

Turn the values into proper fractions

a. 0. 10 = 10/ 100

Reduce to simpler terms

= 10/ 100

= 1/ 10

b. 0. 01 = 1/ 100

a = 1/ 100

b = 1/ 100

This means that both decimals are not of  equal proportion and thus a is greater than (>) b

Thus, the answer will be 0. 10 >  0. 01 . Option B

Learn more about decimals here:

https://brainly.com/question/1827193

#SPJ1

Answer:

B

Step-by-step explanation:

Standard deviation is the average distance away from the mean, thus B is correct

Answer:

32.5%

Step-by-step explanation:

If you plan on consuming 2000 calories and you're eating a 650 calory lunch then the equation for that would look like 650/2000.

If you divide that you will get 0.325, you move the decimal twice then you have 32.5, which is your percentage! Hope that made sense.

The percent of your calories that will be used on a 650-calorie lunch is 32.5%.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

If you plan on consuming 2000 calories and you're eating a 650 calory lunch then the equation for that would look like 650/2000. If you divide that you will get 0.325, you move the decimal twice then you have 32.5, which is your percentage.

Percentage = 650 / 2000 = 0.325%

Therefore, the percent of calories that will be used on a 650-calorie lunch is 32.5%.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

Answer:

k=2   k=-8

Step-by-step explanation:

We can write the scale factor for the table as {K} = y/x.

Given is to determine the scale for the given table.

Therefore, we can write the scale factor for the table as {K} = y/x.

To solve more questions on scale factor, visit the link -

brainly.com/question/30098550

#SPJ1

The percent change is -25% that is decreased.

What is percent change ?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent , half of it is 50 percent , none of something is 0 percent.

Percent change equals the change in value divided by absolute value of original value and multiplied by 100.

Negative precent change :

When the change goes on decreasing, i.e. final value is less than original.

Positive percent change :

When the change goes on increasing i.e. final value is more than original.

In given que,

initial value = 8

final value = 6

change in value = 6-8

                           = -2

So, percent change = -2/8 *100 = -25%

Learn more about percent change using link :

https://brainly.com/question/809966

#SPJ1

Answer:n=2

Step-by-step explanation:

If you multiply 3 by 2 you get 6.

6 is more than -15 But equal to 6 so two works for N in the situation

Note: The sign between the 3N and six means Less than OR equal to

Answer:

C. The poster will have an width of 31 2/3 inches.

Step-by-step explanation:

3 1/3*9 1/2= 31 2/3 inches

The limand is continuous at x = -1, so

\(\displaystyle\lim_{x\to-1}\frac{x^{10}+x^3+1}{x-1}=\frac{(-1)^{10}+(-1)^3+1}{-1-1}=-\dfrac{1-1+1}2=-\dfrac12\)

The z-score for the 0.75 proportion is -1.95.

The Z-score calculates the deviation of the measure from the mean in standard deviations. We seek for the p-value linked with this Z-score after locating the Z-score in the z-score database.

The likelihood that the value of the measure will be less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the p-value.

In a set with mean X and standard deviation μ, the z score of a measure X is given by:

Z=(X-μ)/σ

In this problem, we have that:

n=100,p=0.82

So,μ=E(X)=np=100×0.82=82

Therefore, √V(X)=√np×(1-p)=√100×0.82×0.18=3.841

For Finding the probability that less than 75 in the sample keypads pass inspection.

Using continuity correction, this is (P(75-0.5)<=P(74.5)), which is the p-value of Z when X = 74.5.

=>z= (74.5-82)/3.841

=>z= - 7.5/3.841

=>z= - 1.95 has a p-value to 0.

Hence, if a random sample of 100 keypads is analyzed and 75 pass inspection, then the z-score for 0.75 proportion is -1.95

To know more about z-score, visit here:

brainly.com/question/15016913

#SPJ1

2 3/8 - 1 5/8

19/8 - 13/8

6/8

3/4

The answer is 3/4

Sub 2 Raging Sushi plz

Answer:

3/4

Step-by-step explanation:

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

For more such questions on figures, click on:

https://brainly.com/question/24491627

#SPJ8

Answer:

a 70

Step-by-step explanation:

eanuts have a high oil content (45 percent to 52 percent) compared to several other oilseed crops. With a yield of 3,000 pounds per acre, a 70 grade (70 percent of the weight of the peanut in shell) and 50 percent oil content, peanuts could potentially produce 120 to 150 gallons of biodiesel per acre.

Answer:

14.50

Step-by-step explanation:

224.75 ÷ 15.5

hope this helps

Answer:

Step-by-step explanation:

well  ..  that the 3,483 dollars .. isn't the right answer make sense.. right?  it's not going to cost more than what the total is....  I mean 224.75 is the total for 15.5 weeks... so for one week.. it doesn't make sense to say it costs more.  See???

sooo just divide.. not multiply  by 15.5  into 224.75

224/5 / 15.5  = 14.4838

so that weekly cost is approx.   $14.48

Answer:

30

Step-by-step explanation:

So we know that 9 windows is 30% so then we multiply 30 to get to the closest to 100 which is x3 so its 90%. Then you divide 30 by 9 which is 3.3 and round it to 3.

Answer:

the answser is 8%.

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1

Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

=====================================

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.

Call the amount of apples Fatima bought as x.

She gave half of the apple to Salma -> x : 2

Then she gave Maha 5 apples -> x : 2 - 5

She is left with 3 apples, so we have the equation x : 2 - 5 = 3

Solve for x :
x = (3+5) x 2 = 16.

Fatima bought 16 number of apples from the grocery store.

Two or more expressions with an Equal sign is called as Equation.

Let  the number of apples Fatima bought will be "x".

Fatima gave half of the apples to Salma, which is (1/2)x apples.

So, she had (1/2)x apples left.

Then she gave 5 apples to Maha, which means she had (1/2)x - 5 apples left.

Finally, she kept 3 apples for herself, which means she had (1/2)x - 5 - 3 apples left.

We know that the number of apples she had left is equal to the number of apples she gave away

(1/2)x - 5 - 3 = (1/2)x

Solve for x

-8 = -x/2

Multiplying both sides by -2, we get:

x = 16

Hence, Fatima bought 16 apples.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

672

Step-by-step explanation:

28x24= 672

Answer: 20 × 25 = 500 The total cost would be about $500

Step-by-step explanation:

The equation of the regression line is y=-30.27+0.449x and predicted number of absences when the temperature is 910= 10.589

See table for sum of values.

The regression equation is:

y=α+βx

β = \(\frac{Sxx}{Syy}\)=6995-97799779\(\frac{6995-9\times\frac{779}{9}\times\frac{77}{9}}{68613-9(\frac{779}{9} )2}\)= 0.449

α=y-βx= 779-(0.449)7799 = =-30.27

The equation is y=-30.27+0.449x

Where y = predicted variable; x = independent variable = 0.449; - 30.27 = intercept/ slope

Constructing a 91% prediction interval for y:

x = 910

Inputting x = 91 into the regression equation : y = 0.449(91) - 30.27

y = 40.859 - 30.27 = 10.589

Prediction interval = y pm error margin

To save computing time, error margin (E) can be obtained using the online error margin calculator.

Obtained error margin (E) value = 2.3398

(10.589- 2.3398, 10.589+ 2.3398)

(8.2492, 12.9288)

(8, 13)

The equation of the regression line is y=-30.27+0.449x and predicted number of absences when the temperature is 910= 10.589

Know more about equation of regression: https://brainly.com/question/14852545

#SPJ4

Apply the formula:

n(n+1)/2

Where n is the number of shake hands of the first person (9)

9 (9+1) /2

9 (10)/2

90/2

45 shakes

Answer:

All options are wrong.................

Using the integers −9 to 9 at most one time each, place a digit in each box (1, 3) and (9, 3) or (-9, 3) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3).

To find the endpoints of the longest possible line segment with midpoint (1, 3), we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is ((x₁+x₂)/2, (y₁+y₂)/2).

In this case, we know the midpoint is (1, 3), so we can set up two equations using the variables for the endpoints (x and y) and solve for them:

(x₁ + x₂)/2 = 1

(y₁ + y₂)/2 = 3

We also know that the line segment must be as long as possible, so the endpoints should be as far away from each other as possible. To maximize the distance between the endpoints, we can choose one endpoint to be -9 and the other endpoint to be 9. This gives us:

(x₁ + x₂)/2 = 1 => x₁ + x₂ = 2

(y₁ + y₂)/2 = 3 => y₁ + y₂ = 6

Now we can solve for x₁ and y₁, since x₂ and y₂ will be 2-x₁ and 6-y₁ respectively:

x₁ + (2-x₁) = 2 => x₁ = 1

y₁ + (6-y₁) = 6 => y₁ = 3

So the endpoints of the longest possible line segment with midpoint (1, 3) are (1, 3) and (9, 3) or (-9, 3), and its length is 8 units.

To learn more about midpoint click on,

https://brainly.com/question/12885634

#SPJ1

Answer:

1 penny

Step-by-step explanation:

It would take 1 penny. A penny is taller than 1 centimeter anyway.