Referring to the well-known President Clinton-Monica Lewinsky scandal, a sub-headline in the January 26, 1998. issue of the Ann Arbor News read, "Polls show asking former intern to lie would be cause for leaving." An ABC News/Washington Post poll stated that 59% of those surveyed said that President Clinton should resign if he lied. this result was based on a poll of 1537 adults surveyed and had a margin of error of 3%.


(a) How many of the adults surveyed feel president Clinton should resign if he lied?


(b) Suppose that a listing of the residential homes in the Washington D.C. area was available. A simple random sample of homes was obtained and all of the adults residing at the selected homes were surveyed. Explain why this sampling design might bias the percentage given in the article.


(c) Adults residing in apartment complexes would not have a chance to be included in the survey. This is a type of bias called: response bias, nonresponse bias, or selection bias?

Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

Answer:

u = 12;

v = 6

Step-by-step explanation:

Use trigonometry:

\( \tan(60°) = \frac{6 \sqrt{3} }{v} \)

Use the property of proportion to find v:

\(v = \frac{6 \sqrt{3} }{ \tan(60°) } = \frac{6 \sqrt{3} }{ \sqrt{3} } = 6\)

Use the Pythagorean theorem to find u:

\( {u}^{2} = {v}^{2} + ( {6 \sqrt{3}) }^{2} \)

\( {u}^{2} = {6}^{2} + ( {6 \sqrt{3}) }^{2} = 36 + 36 \times 3 = 36 + 108 = 144\)

\(u > 0\)

\(u = \sqrt{144} = 12\)

Answer:

a

Step-by-step explanation:

the answer is a

√192=13.85.....

8√3= 13.85

answer is a

Using the relation between velocity, distance and time, it is found that it took the knight 20 hours to traveled from one kingdom to another.

Velocity is distance divided by time, hence:

v = d/t

On the first day, he traveled at a speed of 10 mph, a distance of d, hence:

10 = d/t

t = d/10

On the second day, he traveled at a speed of 8 mph, a distance of 180 - d, hence:

8 = (180 - d)/t

t = (180 - d)/8

Equaling both equations for t, we find the distance on the first day, hence:

d/10 = (180 - d)/8

8d = 1800 - 10d

18d = 1800

d = 100 miles.

The time on the first day was:

t = 0.1d = 0.1 x 100 = 10 hours.

On the second day he traveled the same amount of time, hence, in total, he traveled 20 hours.

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Answer:

Hi! So, I'm pretty sure the answer is 1 (rounded).

However, I'm not sure if you're trying to find the answer to COS pi/10 or "the function in terms of cofunction of a complementary angle" which I'm not too sure about. I've given you the answer to the first part if this was not the right way to read the problem I deeply apologize.

Step-by-step explanation:

Using any calculator with the Cos, Sin, and Tan function, you can input

COS (pi / 10) which equals .9999849678 (which you can round as needed)

Answer:

\(x∈( - ∞;8]\)

Step-by-step explanation:

\(x + 9 - 3 \leqslant 14\)

Collect like-terms:

\(x \leqslant 14 - 9 + 3\)

\(x \leqslant 8\)

\(x∈( - ∞;8]\)

As regards the statement that using any of the 3 methods of solving linear equations would result in the same solution, this is True; using any method will result in the correct solution.

There are three methods used to solve for the variables on a linear equation and they include the:

Regardless of the method that one chooses to use, the resulting solution will all be the same because it relates to the same linear function or line and the points on that line won't change.

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The company would charge $837.50 to build the fence.

Installing a fence would cost $62.50 per hour.

It will take 13²/₅ hours to install this fence.

The cost would be:

= Cost per hour x Number of hours taken

Number of hours it would take should be converted to improper fraction to be multiplied:

13²/₅ = 67/5 hours

Cost is:

= 62.50 x 67/5

= $837.50

In conclusion, it would cost $837.50 to build the fence.

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Answer:

Step-by-step explanation:

Finally, we got the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 28 are written as 2 × 2 × 7 or 22 x 7, where 2 and 7 are the prime numbers.

Answer:

3/5

Step-by-step explanation:

because there are more red than blue and the fraction is 3/5 and the probability to pick a red worm is a lot higher than the blue. well there are 4 red worms and 1 blue so it would be 3 red worms out of 5 in total. this is more than 1 blue over 5. 3/5 is more than 1/5

hope this helped

Answer: 3/5

Step-by-step explanation:

Since 4 red gummies you have four out of 5 chance of getting red gummies. Without replacement there are now 4 gummies left and 3 red gummies. There for 3 out of 4 chance of getting another red gummy. Since at same time multiply. 4/5*3/4 = 12/20

Which can be simplified to 3/5

Answer:

Step-by-step explanation:

Hello!

The historical data suggests that the life expectancy in Argentina is equal to the life expectancy in Bolivia.

With the objective of testing if that it hasn't changed, the records of recently deceased people from Argentina and Bolivia were selected at random:

Group 1: Argentina

X₁: Years of life of a recently deceased Argentinian.

n₁= 265

X[bar]₁= 74.8 years

S₁= 4.1 years

Group 2: Bolivia

X₂: Years of life of a recently deceased Bolivian.

n₂= 300

X[bar]₂= 75.4 years

S₂= 4.3 years

The parameters of interest are the population means of the years of life of people in both countries:

H₀: μ₁ = μ₂

H₁: μ₁ ≠ μ₂

α: 0.05

The statistic to use is an approximate standard deviation, and since both samples are quite large, it is valid to use the sample standard deviations in place of the population standard deviations:

\(Z= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{\sqrt{\frac{S^2_1}{n_1} +\frac{S_2^2}{n_2} } }\)≈N(0;1)

\(Z_{H_0}= \frac{(74.8-75.4)-(0)}{\sqrt{\frac{16.81}{265} +\frac{18.49}{300} } }= -2.54\)

The critical values for this test are:

\(Z_{\alpha /2}= Z_{0.025}= -1.96\)

\(Z_{1-\alpha /2}= Z_{0.0975}= 1.96\)

Using the critical value approach, the decision rule is:

If \(Z_{H_0}\) ≤ -1.96 or if \(Z_{H_0}\) ≥ 1.96, reject the null hypothesis.

If -1.96 < \(Z_{H_0}\) < 1.96, do not reject the null hypothesis.

\(Z_{H_0}\) ≤ -1.96 so the decision is to reject the null hypothesis.

So with a 5% significance level, there is enough evidence to reject the null hypothesis, you can conclude that the life expectancy in Argentina is different from the life expectancy in Bolivia.

I hope this helps!

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Simplification :

Answer:

-16

Step-by-step explanation:

Answer:

4096

Step-by-step explanation:

8x8x8x8 because all the sides are equal to each other so

8x8=64 8x8=64

64x64=4096

Answer:

C and D

Step-by-step explanation:

I think it's C and D

You can't be certain that the coefficient of s is 3.

The entire thing is not a sum because there's fractions in the equation.

Answer:

7.56

Step-by-step explanation:

14x.50(the remainder after you subtract the percent from 100) = 7

8% of 7 is 0.56

7+0.56=7.56

Answer:

HJ

Step-by-step explanation:

For a line to be perpendicular to another line, you must find the negative reciprocal.

The negative reciprocal of 1/2 is -2.

The only line with a slope of -2 is line HJ because it goes down 2 for every 1 to the right.

Answer:

line HJ on edge

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: The top right and bottom right polygons are parallelograms and not squares.

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of parallel sides opposing each other.

A square is a quadrilateral with two pairs of parallel sides opposing each other; however, all four sides must be equal and all angles must equal 90 degrees.

Any quadrilateral that is a parallelogram and not a square has angle measures that are not 90 degrees (or have unequal sides).

Only the top right and bottom right images are parallelograms and not squares.

The shapes that are parallelogram but not a square is the rectangle and the parallelogram. The rhombus is a square because the angles are 90°.

A quadrilateral is a polygon with four sides and four angles. A parallelogram is a quadrilateral with parallel and equal opposite sides.

A square is a quadrilateral in which all sides are equal, opposite sides are parallel and each angle measures 90 degrees.

The shapes that are parallelogram but not a square is the rectangle and the parallelogram. The rhombus is a square because the angles are 90°.

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The digit that when multiplied, make a cube and a square out of the number is 88.

It should be noted that this has to do with mental reasoning.

It should be noted that 8 × 8 = 64. This is the square of 8.

Also, it should be noted that 4 × 4 × 4 = 64. This gives the cube value.

Therefore, the number is 88.

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Answer:

k = -0.1

Step-by-step explanation:

An ordered pair is in the form (x,y)  We can use the x and y from the point (-30,3) to find k

y = kx  We will replace x with -30 and y with 3

3 = (-30)k  divide both sides by -30

-0.1 = k  or \(\frac{-1}{10}\) in the fraction form

Pretty sure it'd be 100°.

Since the triangles are congruent, measurement D = measurement C. This means measurement C = 30°. Also, they give us measurement A, which is 50°. Of triangle CAT, we already know two of its angles. We can add them to see the last measurement of angle T. 30° + 50° = 80°. There is 180° in a triangle, so 180° - 80° = 100°, which gives us our last measurement, T.

Answer:

x>80000

Step-by-step explanation:

3600+1.02x<2000+1.04x=x>80000

5th term of the sequence is -4

To find the 5th term in the sequence, we need to substitute n =  5 into the expression given

 \(a_5\) =  26- 6( 5)  

\(a_5\) =  26- 30

\(a_5\) = -4  

The formula given, an =  26- 6n, represents an  computation sequence with a common difference of-6.

This means that each term in the sequence is  attained by obtain 6 from the  former term.  

It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the  matching value of  n.

 In this case, we were asked to find the 5th term, so we substituted n =  5 into the formula to get a5 = -4.

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The probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 is 0.62

Given,

probability of selecting a patient who has an PPO plan=P(A)=0.46

probability of selecting a patient who is between the ages of 30 and 55=P(B)=0.43

probability of selecting a patient who has an PPO plan and is between the ages of 30 and 55 =P(A∩B)=0.27

then, to find the probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 i.e. P(A∪B) use formula,

P(AUB)=P(A)+P(B)-(A∩B)

P(AUB)=0.46+0.43-0.27

P(AUB)=0.62

Thus,the probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 is 0.62

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Answer:

y = 5

Step-by-step explanation:

Answer:

Y=3

Step-by-step explanation:

You would want to multiply y and 4 by 3.

5y+6=3(y+4)

×3 ×3

5y+6=3y+12

Now you want to have y by itself. You can first subtract 6 for starters.

5y+6=3y+12

-6 -6

5y=3y+6

5y=3y+6

-3y -3y

2y=6

Now you would want to divide.

2y=6

÷2 ÷2

y=3

You're answer would be y=3.

Answer: 6 hours and 30 min. or 6.5

Step-by-step explanation: divide 39 by 6 you get 6.5 then (.5) is actually going to be half an hour because half an hour is just 30 minutes

The number of hours Kristen worked each day is 6.5 hours.

Division is the process of determining the quotient of a number by grouping the number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

In order to determine this value, divide 39 by 6.

39 / 6 = 6.5 hours

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Answer:

Area = 100 ft^2

Step-by-step explanation:

To calculate the area of this composite shape, you need to find the area of all shapes and add them together.

1. Break the composite shape into different shapes.

Shapes: one rectangle, one square,  and one triangle.

2. Find the area of each of them.

Rectangle

L= 8ft    

W= 10ft

A= L x W

A= 8ft x 10ft

A= 80ft^2

Square

L= 4ft

W=10ft - 6ft = 4ft

A= L x W

A= 4ft x 4ft

A= 16ft^2

Triangle

A= 1/2 x base x height

b= 14ft -8ft-4ft = 2ft

h= 10ft - 6ft =4ft

A= 1/2 (2ft x 4ft)

A= 1/2 (8 ft^2)

A= 4ft^2

3. Add all the areas.

Area = Rectangle Area+ Square Area+ Triangle Area

A = 80ft^2 + 16ft^2 + 4ft^2

A= 100ft^2

Hope this helps!

The diver was 450 feet deep in the water 10 minutes ago.

Let our D be the depth of the diver 10 minutes ago.

Since diver is pulled out at 25 ft/minute, the depth formula can be written as:

\(D - 25t = 200\) where t is the time in minutes.

Substituting t = 10, we have:

\(D - 25(10) = 200\\D - 250 = 200\\D = 200 + 250\\D = 450 feet.\)

Translated question "A deep-sea exploration vessel is pulling a diver out to rate of 25 feet per minute. The diver is 200 feet below sea level. How deep was the diver 10 minutes ago?"

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Note that given the speed at which he is being pulled out, the diver was 50 feet about 10 minutes ago.

The diver is being pulled out at the rate of 25 feet per minute.

This means that after 10 minutes, he would have been pulled by a total of

25 x 10 = 250 feet.

Since the diver was 200 feet below sea level,

200-250 = -50ft.

hence 10 minutes ago, he was 50 feet below sea level.

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Translation:

A deep-sea exploration vessel is pulling a diver out to rate of 25 feet per minute. The diver is 200 feet below sea level. how deep there was the diver 10 minutes ago?

Answer:

no, they are not functions

Step-by-step explanation:

this is because a single domain has multiple range.

i.e. domain 2 has ranges 2 and 4