What is the necessary sample size to construct a 90% confidence interval with an acceptable margin of error of 8 when the standard deviation for the random variables is 29?.

Answer:

456 \(cm^{2}\)

Step-by-step explanation:

Find the height of the trapezoid first (QR):

\(\sqrt{37^{2} -35^{2} }\) = 12

QR = 12

Area:

\(\frac{a+b}{2}\) × h = \(\frac{35+41}{2}\) × 12

           = 456 \(cm^{2}\)

Answer:

1.8g/cm^3

Step-by-step explanation:

Density = mass/volume

=> Density = 45/25

=> Density = 9/5

=> Density = 1.8 g/cm^3

Answer:

x = 8

Step-by-step explanation:

Hello!

The missing angle in the triangle can be found by subtracting 90° and 45° from 180°. The missing angle is 45°.

This means that the triangle is isosceles, as there are two congruent base angles, 45° and 45°.

The side lengths opposite these two angles are congruent.

We can see that 8 is opposite 45°, and x is opposite 45°. Therefore, x must be equal to 8.

The value of x is 8.

Answer:

x = 8

Step-by-step explanation:

The interior angles of a triangle sum to 180°.

The given triangle is a right triangle, so the missing angle is 45°

⇒ 180° - 90° - 45° = 45°

As the triangle has 2 equal angles, this means it is an isosceles triangle (with its vertex at the right angle).  An isosceles triangle has legs of equal measure, therefore \(x=8\).

Proof

This can be proven by using the tan trigonometric ratio to calculate the value of x.

Tan trig ratio

\(\sf tan(\theta)=\dfrac{O}{A}\)

where:

Given:

Substituting the given values into the equation and solving for x:

\(\implies \tan (45^{\circ})=\dfrac{8}{x}\)

\(\implies x=\dfrac{8}{\tan (45^{\circ})}\)

\(\implies x=\dfrac{8}{1}\)

\(\implies x=8\)

Answer: 65%

Step-by-step explanation:

The probability that the athlete has actually been using the prohibited drug given that they tested positive is approximately 0.5789 or 57.89%.

To solve this problem, we can use Bayes' theorem, which relates the conditional probabilities of two events.

Let A be the event that the athlete has been using the prohibited drug, and let B be the event that the athlete tests positive.

We want to find the probability of A given B, which we can write as P(A | B).

Using Bayes' theorem, we have:

P(A | B) = P(B | A) * \(\frac{P(A) }{P(B)}\)

where P(B | A) is the probability of testing positive given that the athlete has been using the prohibited drug, P(A) is the prior probability of the athlete using the prohibited drug, and P(B) is the overall probability of testing positive, which can be calculated using the law of total probability:

P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)

where P(B | not A) is the probability of testing positive given that the athlete has not been using the prohibited drug, and P(not A) is the complement of P(A), i.e., the probability that the athlete has not been using the prohibited drug.

Using the given information, we can plug in the values:

P(B | A) = 1 - 0.12 = 0.88 (probability of testing positive given the athlete is using the drug)

P(A) = 0.05 (prior probability of the athlete using the drug)

P(B | not A) = 0.04 (probability of testing positive given the athlete is not using the drug)

P(not A) = 1 - P(A) = 0.95 (probability that the athlete is not using the drug)

Then, we can calculate P(B) as:

P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)

= 0.88 * 0.05 + 0.04 * 0.95

= 0.076

Finally, we can calculate P(A | B) as:

P(A | B) = P(B | A) * \(\frac{P(A) }{ P(B)}\)

= 0.88 * \(\frac{0.05 }{ 0.076}\)

= 0.5789

Therefore, the probability that the athlete has actually been using the prohibited drug given that they tested positive is approximately 0.5789 or 57.89%.

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in this case we should divide 4 kg by 2/5 kg of tangerines, this is

4 ÷ 2/5 = ?

or

? x 2/5 = 4

that the 2 equations correct

Answer:

the answer would be 80% just divide 16 out of 20

Answer:

\(-7=h\\-6.81=q\)

Step-by-step explanation:

For question #1:

\(-3=h+8/2\\-3=h+4\\-7=h\)

For question #2:

\(q+16.41=9.6\\q=-6.81\)

The correct answer is

x = 9, -8

Answer:

5yz

Step-by-step explanation:

1st expression=10xyz

=5*2*x*y*z

2nd expression=15(y)2 (z)2

=5*3*y*y*z*z

therefore H.C.F=5yz

underlines are taking common.

Hello Human <3

Here is the answer:

X ∈  { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 206, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414 }

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

area of the base times the height. base is 6*6=36. Then 36*8 is 288

The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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Answer:

Step-by-step explanation:

A conclusion is 2-3 closing sentences to wrap up your essay.  You should start with a transition word, like "To conclude," and then state your controlling idea.  Or, the reason why you are writing this essay.  Then, you need to end with a closing sentence, which is pretty hard to do.  This can be a question or a statement.  If you pick a question, then you need to say something like this:

Why do you think masks and social distancing are effective during these hard times?

If you pick a statement, then it needs to end something like this:

I wonder....

Now, I am going to let you figure this out, because people should learn.  Good luck and I hope this helps!

Answer:

350/10 = 35

Step-by-step explanation:

I just multiple all the numbers then simply

hopefully this is the answer

Answer:

B

Step-by-step explanation:

plug in 1 for x and 4 for y

4 + 4 = 4(1+1)

8 = 8

Plug in 2 for x and 8 for y

8+ 4 = 4(2+1)

12 = 12

Answer:

Free points?

Step-by-step explanation:

The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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Answer:

90

Step-by-step explanation:

180 divided by 2 is 90

Answer:

-1

Step-by-step explanation:

3-1=2

2-1=1

Standard deviation is the square root of variance .

So,

It is used in measuring any deviation or shift from the calculated mean.  

From a data set, the mean of the data can be determined with which the standard deviation can be measure.

Therefore, Standard deviation is use to measure variation that exist in an individual data set. There are different type of data set from which variation is measured.

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The dimensions of the rectangle will be 16 inches long and 7 inches wide,

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 112 square inches. Then the equations are given as,

LW = 112           ...1

L = 2W + 2       ...2

From equations 1 and 2, then we have

(2W + 2)W = 112

2W² + 2W - 112 = 0

W² + W - 56 = 0

W² + 8W - 7W - 56 = 0

W(W + 8) - 7(W + 7) = 0

(W + 8)(W - 7) = 0

W = 7, -8

Neglect - 8 because of negative signs. Then the length is given as,

L = 2 x 7 + 2

L = 14 + 2

L = 16

The dimensions of the rectangle will be 16 inches long and 7 inches wide,

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Answer:

m=2/9

Step-by-step explanation:

Use the slope formula to find the slope (m)

Answer:

Yes, he will.

Step-by-step explanation:

Since he needs 9 pieces of 1/3 ft, yo would start by dividing 9 by 3 (9 x 1/3). This would give you 3, meaning that you would need 3 feet of would in all, and since he is given 3 and 1/3 feet, he has enough.

Hope this helps!

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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The answer of the given question on how to graph y=3/4x-1/2 the following steps are given below.

The y-intercept is point where  graph crosses y-axis. In other words, it is the point where x = 0 and the value of y is some number.

In the equation of a straight line in the form y = mx + b (where m is the slope of the line and b is the y-intercept), the y-intercept is the constant term (b) that appears without any x-variable.

For example, in the equation y = 2x + 3, the y-intercept is 3, since it is the value of y when x is zero. Similarly, in the equation y = -1/2x + 4, the y-intercept is 4, since it is the value of y when x is zero.

The y-intercept is an important property of a straight line, as it helps us to identify the starting point of the line and gives us an idea of the position of the line on the y-axis.

To graph the equation y = (3/4)x - (1/2), we can follow these steps:

Choose a range of x-values to plot. For example, we can choose x-values from -2 to 2.

Substitute each x-value into equation to find corresponding y-value. For example,

when x = -2, we have:

y = (3/4)(-2) - (1/2)

= -3/2

So the first point we can plot is (-2, -3/2).

Repeat step 2 for several more x-values to find additional points. For example, when x = -1, we have:

y = (3/4)(-1) - (1/2)

= -5/4

So we can plot the point (-1, -5/4).

Similarly, when x = 0, we have:

y = (3/4)(0) - (1/2)

= -1/2

So we can plot the point (0, -1/2).

Continuing this process for a few more values of x, we can get more points to plot.

Plot the points on the coordinate plane and connect them with a straight line.

Note that since the coefficient of x is positive (3/4), the line has a positive slope. Additionally, the y-intercept of the line is -1/2. Therefore, we can start by plotting the point (0, -1/2), which is where the line crosses the y-axis.

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It will take 5.625 hours for both Darryl and Valerie to paint the room if they work together .

In the question ,

it is given that ,

Darryl can paint the room in 9 hours .

So , in 1 hour Darryl can paint 1/9 of the room .

Valerie can paint the room in 15 hours .

So , in 1 hour Valerie can paint 1/15 of the room .

So , the time taken to paint the room together can be calculated using ,

1/t = 1/9 + 1/15

1/t = 5/45 + 3/45

1/t = 8/45

Simplifying further ,

we get ,

t = 45/8

t = 5.625

Therefore , the time taken will be 5.625 hours .

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Answer:

it will be 147

Step-by-step explanation:

12x12=144

Hi There!!

Well, Some sort your answer suppose to be 149.

Because,  \(12\) \(x\) \(12\) ≈ 144 ⁺ 9 ≈ 153 - 4 ≈ 149

But, I guess your answer is B). 137.....

Hope This Helps!!~

\(Itsbrazts\)

Answer:

Step-by-step explanation:

You need the 1040EZ to do the actual filing.

Answer:

B because I just learned it

Answer: Josh is incorrect because nickels are worth 5 cents each and 33 can not be divided by 5 exactly.