g According to a New York Times/CBS News poll conducted during June 24–28, 2011, 55% of the American adults polled said that owning a home is a very important part of the American Dream (The New York Times, June 30, 2011). Suppose this result was true for the population of all American adults in 2011. In a recent poll of 1810 American adults, 62% said that owning a home is a very important part of the American Dream. Perform a hypothesis test to determine whether it is reasonable to conclude that the percentage of all American adults who currently hold this opinion is higher than 55%. Use a 2% significance level, and use both the p-value and the critical-value approaches.

Answer:

1

Step-by-step explanation:

All the numbers provided can have a factor of 1.

eg.)

1*24=24

1*14=14

1*21=21

This is because there is only one factor they all commonly share, 1.

Answer:

The answer is 1.

Step-by-step explanation:

Nothing else divides into the numbers other than 1.

Hope this helped!!

Answer:

The answer is 16 ft

Step-by-step explanation:

The shape with the smallest possible perimeter for a given area is a circle but among quadrilaterals, it's a square. Given an area of 15 square feet, the length of each side of the square would be approximately 3.87 feet, and the perimeter would be approximately 15.49 feet.

The disciplines specified here is Mathematics, and the question is related to the correlation between an area and perimeter of a shape. In this case, the shape with the smallest possible perimeter for a given area would be a circle. However, if we only examine quadilateral shapes, then the shape with the minimum possible perimeter would be a square because a square is the quadrilateral that has the maximum area for a given perimeter.

If the area of the square is 15 square feet, then you can determine each side of the square by taking the square root of the area. The square root of 15 is approximately 3.87 feet. Now, to determine the perimeter of the square, you multiply this value by 4 because a square has four sides of equal length, hence perimeter is ~15.49 feet.

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Answer:

you live on the 21st floor

Step-by-step explanation:

46-4=42 (level -2 to ground level)

42÷2=21

Answer:

its c 20% on e2020

Step-by-step explanation:

Answer:

[tex]Length\hspace{3}of\hspace{3}the\hspace{3}beam=y=21.3ft[/tex]

Step-by-step explanation:

Look the picture I attached you. As you can see the beam against the wall form a right triangle. The trigonometry functions on a right triangle are:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\hspace{10}csc(\theta)=\frac{hypotenuse}{opposite}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\hspace{10}sec(\theta)=\frac{hypotenuse}{adjacent} \\\\tan(\theta)=\frac{opposite}{adjacent} \hspace{20}cot(\theta)=\frac{adjacent}{opposite}[/tex]

The problem give us the following data:

[tex]y=9sec(\theta)[/tex]

Using the previous information about the trigonometry functions on a right triangle and the data provided by the problem you can conclude:

[tex]y=Hypotenuse\\Adjacent=9\\\theta=65^{\circ}[/tex]

Therefore:

[tex]y=9sec(65^{\circ})=9*(2.366201583)=21.29581425\approx21.3ft[/tex]

The length of the beam for the given situation is 21.3 ft.

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles. Trigonometry is found all throughout geometry, as every straight-sided shape may be broken into as a collection of triangles.

Here, given function

y = 9. sec θ

put, θ = 65⁰

then, y = 9 X sec 65⁰

        y = 9 X 2.366

        y = 21.294 ft. ≈ 21.3 ft.

Thus, the length of the beam for the given situation is 21.3 ft.

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Answer:

First, our answer is 18 yards long.

Step-by-step explanation:

It is 18 yards long because first, we have 9, the length of Jamie's car.  Joey's car length is 27 feet. Then, since 1 foot converted is 0.333333...., it is very hard to convert so i turn it in to 9 foot converted into 3 yards. Then, both sides multiply by 3 so 27 foot equals to 9 yards. 9 yards+9 yards equals 18 yards.

Hope it helps Hailey!

Pls mark it brainliest.

Thx!

Precalc/Trig is easy. SO please mark me as BRAINLIEST

[tex] {x}^{2} + 2x + 26 = ( {x}^{2} + 2x + 26- 25) + 25 = \\ = (x + 1) ^{2} + 25[/tex]

The function f(x) = x² + 2x = 26 can be written as f(x) = (x + 1)² = 27.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as it's degree is two.

Given, f(x) = x² + 2x = 26.

f(x) = (x)² + 2(x)(1) + 1² = 26 + 1.

f(x) = (x + 1)² = 27.

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Clarissa's grade-point average for the semester is 1.

We have,

To calculate Clarissa's grade point average (GPA) for the semester, we need to assign points to each grade and calculate the weighted average.

Given the grade scale: A = 4 points, B = 3 points, C = 2 points, D = 1 point, and F = 0 points.

Clarissa earned the following grades:

Linear Algebra (4 hours): Upper D (D) = 1 point

Sociology (5 hours): Upper D (D) = 1 point

Engineering (2 hours): Upper D (D) = 1 point

Philosophy (3 hours): Upper D (D) = 1 point

To calculate the weighted average, we need to multiply each grade by the number of credit hours for the course and sum them up.

Then, we divide the total by the sum of the credit hours.

Total points = (1 * 4) + (1 * 5) + (1 * 2) + (1 * 3) = 4 + 5 + 2 + 3 = 14

Total credit hours = 4 + 5 + 2 + 3 = 14

GPA = Total points / Total credit hours = 14 / 14 = 1

Therefore,

Clarissa's grade-point average for the semester is 1.

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Answer:

both

Step-by-step explanation:

Answer:

b 2.50 per 2 bottles of sprite

Step-by-step explanation:

Answer:

The answer is B.

2.50 per 2 bottles of sprite

Step-by-step explanation:

Answer:

888

Step-by-step explanation:

Im pretty sure this is the answer, if helpful please mark me as brainiest :>

Answer:

The number is 30

Step-by-step explanation:

Let x be the number

2/3 x = 20

Multiply each side by 3/2 to isolate x

3/2 *2/3x = 20*3/2

x = 30

Answer:

do you know what x or dx =

Step-by-step explanation:

Answer:

27 dollars

Step-by-step explanation:

On one side he had 175

One the other side he has 6 books and 13 dollars

175 = 6b+13

Subtract 13 from each side

175 -13 = 6b+13-13

162 = 6b

Divide each side by 6

162/6 = 6b/6

27 = b

Each book is 27 dollars

Answer:

x = 5 (check the diagram included)

Step-by-step explanation:

The question is incomplete, I have included a diagram to aid the understanding of the question

Parallelograms are quadrilaterals which have their opposite sides parallel and equal. This also means that the opposite angles in a parallelogram are equal

From the attached figure, we have:

|FG| = 3x + 10, |HE| = 7x - 30

To calculate for the value of x that makes the quadrilateral a parallelogram, we have:

Remember the opposite sides of a parallelogram are equal

3x + 10 = 7x - 30

3x - 7x = 10 - 30

-4x = -20

x = 20 ÷ 4

x = 5

x = 5 makes the quadrilateral a parallelogram

Answer: B

Step-by-step explanation:

Firstly, we identify the number of people that can use the slide per minute, which is 6. Using this, we find that for 1 minute it's 6 people, for 2 minutes it's 12 people and for 4 minutes it's 24 people.

The question provides us that 18 people can go down the water slide in 3 minutes. This suggests that every minute, 18 ÷ 3 = 6 people can go down the slide. So, for the double number line, we would show:

This 'per minute' basis helps in understanding and calculating the number of people going down the slide at different time intervals.

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Answer:

(3) 82%

Step-by-step explanation:

.62/.76=.8157894737 which when rounded is 82%.

If 76 percent of freshmen take Statistics, the percentage of freshmen who take English is 82 percent. Option B is correct.

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The percent of freshmen taking Statistics are taking English if 76% of freshmen are taking Statistics is found as;

The percent of freshmen taking Statistics are taking English if 76% of freshmen are taking Statistics is found as;

[tex]\rm \% S=\frac{.62}{.76} \times 100 \\\\ \% S=82\%[/tex][tex]% STATICS = \frac{.62}{.76} \times 100 \\\\ % STATICS = 81.5 \%[/tex]

Sixty-two percent of all freshmen at a nearby community college take both Statistics and English. If 76 percent of freshmen take Statistics,

Hence, the percentage of freshmen who take English is 82 percent.

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Answer:

Step-by-step explanation:

Answer:

272

Step-by-step explanation:

You first calculate the sample mean, or μ_bar, of the data. Given it's a Poisson distribution, the mean is equal to the variance, giving your standard deviation. Finally, for a 95% CI, you apply the Z score to the formula μ_bar ± Z*(sqrt(μ_bar/n)) to obtain your confidence interval.

The subject is related to Poisson distribution and the calculation of a confidence interval (CI) for the population mean (µ).

Firstly, we calculate the sample mean that is the total number of instances divided by the number of days:

This gives us the sample mean, µ_bar.

Given the data follows a Poisson distribution, the mean and the variance are equal (µ = variance). For a Poisson distribution, the variance is equal to µ divided by n, hence we get the standard deviation as sqrt(µ/n).

For a 95% CI, Z = 1.96 (from the standard normal table). Our CI will therefore be µ_bar ± Z*(sqrt(µ_bar/n)).

Since n is large, the distribution can be assumed to be approximately normal and the CI can be treated as reliable.

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To calculate a 95% confidence interval for a Poisson distributed data set, first calculate the sample mean. Consider the variance of Poisson equals to its mean, the standard error would be square-root of (mean divided by sample size). Using z-score of ±1.96 for 95% confidence level, solve for mean in both inequalities will give the interval.

The question pertains to deriving a 95% confidence interval for the mean (µ) of a Poisson distributed data set. In this case, the data set provided represents the number of teacher absences in a school district over 50 days.

Firstly, you will need to calculate the sample mean by multiplying each absence by its frequency, sum those up, then divide the sum by the total number of observations. This serves as an estimator for the Poisson mean µ.

Considering that the variance of a Poisson variable equals to its mean µ. The standard error would then be √(µ/n), where n is the number of observations. For a 95% interval, Z should be approximately ±1.96.

The confidence interval can be calculated using the standard formula for a large sample size:

Z = ±1.96 = (X - µ)/√(µ/n)

Solving for µ in both inequalities will give you the confidence interval.

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Answer:

We conclude that 50% of the accidents would be caused by drunk driving.

Step-by-step explanation:

We are given that the NSC claimed that 50% of the accidents would be caused by drunk driving.

A sample of 120 accidents showed that 67 were caused by drunk driving.

Let p = percentage of the accidents caused by drunk driving.

So, Null Hypothesis, [tex]H_0[/tex] : p = 50%      {means that 50% of the accidents would be caused by drunk driving}

Alternate Hypothesis, [tex]H_A[/tex] : p [tex]\neq[/tex] 50%      {means that % of the accidents that would be caused by drunk driving is different from 50%}

The test statistics that would be used here One-sample z proportion statistics;

                    T.S. =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of accidents caused by drunk driving = [tex]\frac{67}{120}[/tex] = 0.56

           n = sample of accidents = 120

So, test statistics  =  [tex]\frac{0.56-0.50}{\sqrt{\frac{0.56(1-0.56)}{120} } }[/tex]  

                              =  1.324

The value of z test statistics is 1.324.

Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to our null hypothesis.

Therefore, we conclude that 50% of the accidents would be caused by drunk driving.

Answer:

x intercept (3/7, 0) or (0.429, 0)

y intercept (0, -3)

Step-by-step explanation:

Answer:

82 divided by 5 = 16.4

Step-by-step explanation:

you divide 82 by 5 and get 16.4 or 82 divided by 10= 8.2

They do first they split up the ten bills and it is 8.0.

We have given that,

Five friends are sharing 82 dollars they keep a record

82 divided by 5

[tex]\frac{82}{5} = 16.4[/tex]

You divide 82 by 5 and get 16.4,

After the split up to ten bills is given by,

A split is a situation in a particular frame of a ten-pin bowling game where the player throws the ball and knocks the headpin

82 divided by 10

[tex]\frac{80}{10} =8.0[/tex]

They do first they split up the ten bills.

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Answer:

Length l = 15 - 2x = 15 - 2(1.5) = 12.00 in

Breadth b = 7 - 2x = 7 - 2(1.5) = 4.00 in

Height h = x = 1.50 in

Step-by-step explanation:

The volume of a box can be written as;

V = l×b×h

Where;

Length = l

Breadth = b

Height = h

Let x represent the length of the cube cut out of the four edges.

Using the attached image;

Length l = 15 - 2x

Breadth b = 7 - 2x

Height h = x

Substituting the values to the volume equation;

V = (15-2x)(7-2x)(x)

V = 105x - 30x^2 - 14x^2 + 4x^3

V = 105x - 44x^2 + 4x^3

At Maximum volume, V' = dV/dx = 0

V' = 105 - 88x + 12x^2 = 0

Solving the quadratic equation, we have;

x = 5.83 or x = 1.50

x cannot be 5.83 since 2x > 7 (greater than the breadth of cardboard)

Therefore ;

Length l = 15 - 2x = 15 - 2(1.5) = 12.00 in

Breadth b = 7 - 2x = 7 - 2(1.5) = 4.00 in

Height h = x = 1.50 in

Answer:

8x = 24

Step-by-step explanation:

[tex]x = \text{The fabric he used to make the seat cover}[/tex]

Then, since he used 8 times as much fabric to make the tent then

[tex]\text{Fabric needed for the tent} = 8x = 24[/tex]

Therefore your equation would be [tex]8x = 24[/tex]

To find the amount of fabric Carl used for the seat cover, the equation is 8x = 24. The variable x represents the amount of fabric for the seat cover, and 24 is the total yards of fabric used for the tent.

Carl used some fabric to make a seat cover. Then he used 8 times as much fabric to make a tent. He used 24 yards for the tent. To write an equation to represent this situation, let's designate the amount of fabric used for the seat cover as x.

According to the problem statement, the tent required 8 times more fabric than the seat cover. Therefore, we can write the equation as:

8x = 24

Where:

This equation can now be solved to find out the amount of fabric Carl used to make the seat cover.

Answer:

f(x) + g(x)  =  -2x^2 - 2x + 8

Step-by-step explanation:

Given:  f(x) = 3x+5 and g(x) = -2x^2-5x+3

Find  f(x) + g(x)

f(x) + g(x)  = 3x + 5 + (-2x^2 - 5x + 3)

f(x) + g(x)  =  5 + -2x^2 - 2x + 3

f(x) + g(x)  =  -2x^2 - 2x + 8

Answer:

  (f+g)(x) = -2x^2 -2x +8

Step-by-step explanation:

(f+g)(x) = f(x) +g(x)

  = (3x +5) +(-2x^2 -5x +3)

(f+g)(x) = -2x^2 -2x +8

Answer:

0.8 or .8

Step-by-step explanation:

multiply the top and bottom by 10

so 8/10=80/100

to get the decimal form, just divide 8 by 10 and it should give you 0.8