A market research company wishes to know how many energy drinks teenagers drink each week. They want to construct a 80% confidence interval with an error of no more than 0.06. A consultant has informed them that a previous study found the mean to be 5.7 energy drinks per week and found the standard deviation to be 0.9. What is the minimum sample size required to create the specified confidence interval? Round your answer up to the next integer.

Answer:

(0,1)

Step-by-step explanation:

The angle on the unit circle is solved to be

56.01 degrees (to the nearest tenth)

To find the angle of the terminal side through the given point on the unit circle, we can use the inverse trigonometric functions.

given that P = ((√5)/4, (√11)/4)

θ = arctan ((√11)/4 / (√5)/4)

θ = arctan((√11)/(√5))

θ ≈ 56.01 degrees

hence to the nearest tenth of a degree, the angle of the terminal side through the point P = ((√5)/4, (√11)/4) on the unit circle is approximately 56.01 degrees.

Learn more about unit circle at

https://brainly.com/question/30403151

#SPJ1

Answer:

The correct answer is $1,500

Step-by-step explanation:

hope this helps

Answer:

You need to add the graphs

Step-by-step explanation:

The mathematical patterns that is evident in the piece below is dilation.

Dilation is the enlarging or shrinking of a mathematical element (a point on a coordinate grid, polygon, line segment) using a specific scale factor.

Dilation changes the position and size of a figure, but not the shape.

The scale factor can either increase the size of an object or decrease the size of an object. The basic formula to find the scale factor of a dilated figure is: Scale factor = \(Dimension\) \(of\) \(the\) \(new\) \(shape\) ÷ \(Dimension\) \(of\) \(the\) \(original\) \(shape.\)

Thus, option a is your answer.

Learn more about dilation here:

brainly.com/question/13176891

Answer:

D. symmetry

Step-by-step explanation:

(just took the quiz) Hope this helps! Have a good day/restful night!

Answer:

An Irrational number is a number that cannot be expressed as the ratio of two integers.

Example: \(\pi\)

its numbers are infinite

The top right line (second line) best fits the data in this problem, as it has the lowest residuals.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a line of best fit, we have that the residuals are the lowest possible, meaning that the points are the closest to the line.

Hence the top right line best fits the data in this problem, as it has the lowest residuals.

More can be learned about residuals at brainly.com/question/1447173

#SPJ1

Answer: \(\sqrt{109} \text{ m }\)

Step-by-step explanation:

If we let the length of the ladder be \(x\), as shown in the diagram, this means that by the Pythagorean theorem, \(x=\sqrt{10^{2}+3^{2}}=\boxed{\sqrt{109}}\) m.

Answer:

RIP chadwick

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

you can notice that the image of 0 using y = 3x-8 is -8 wich what we see on the graph

you can also notice that the image of 2.6 is 0 wich is what we see on the graph

Answer:

D

Step-by-step explanation:

We can't really see any clear points apart from (0,8). That is why we will reason through the problem. We see that the y intercept is (0,8). Our equation needs to have -8 after the xs. That eliminates option A.

If we look at the second equation and we will put in x = 2, then y = -4. We can see that y isnť -4 on the graph though. We can eliminate B.

If we look at the second equation and we will put in x = 2, then y = -6. We can see that y isnť -6 on the graph though. We can eliminate C.

Only option remaining is D.

Answer:

21

Step-by-step explanation:

i hope this helps :)

Answer:

.where is the explanation?

Answer:

32 miles

Step-by-step explanation:

32 miles is equal to 51.499008 Kilometers

12.7 kilometers is equal to 7.891414 miles

Answer: 8/7x

Step-by-step explanation:

2x-3x/7x2

rewrite

2x-3/7x x 2

calculate

2x-6/7x

calculate

solution

8/7x

Answer:

65

Step-by-step explanation:

You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.

For the given data:

Mean (μ) = 269 days

Standard deviation (σ) = 17 days

To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.

To find the z-score for the 1% percentile (lower bound):

z1 = Φ^(-1)(0.01)

Similarly, to find the z-score for the 99% percentile (upper bound):

z2 = Φ^(-1)(0.99)

Now, we can calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:

lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days

upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days

Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.

Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:

Mean of sample means (μ') = μ = 269 days

Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229

To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').

Now, calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:

lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days

upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days

Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

for such more question on range

https://brainly.com/question/16444481

#SPJ8

Answer:

\( \frac{10}{12} \)

Step-by-step explanation:

given,

tanX = 5/12

sinX/cosX + tanX

= tanX + tanX ( sinX/cosX = tanX)

= 5/12 + 5/12

=

\( \frac{10}{12} \)

Step-by-step explanation:

\( \tan(x) = \frac{5}{12} \\ \hookrightarrow \: \frac{p}{b} = \frac{5}{12} \)

As,

\( \hookrightarrow \: \frac{ \sin(x) }{ \cos(x) } = \tan(x) \)

Now,

\( \hookrightarrow \: \frac{ \sin(x) }{ \cos(x) } + \tan(x) \\ \hookrightarrow \: \tan(x) + \tan(x) \\ \hookrightarrow \: \frac{5}{12} + \frac{5}{12} \\ \hookrightarrow \frac{5 + 5}{12} \\ \hookrightarrow \frac{10}{12} \)

Answer:

----------------------

There are various combinations of coins.

In total there are:

Answer:

x = 3

ST = 24

Step-by-step explanation:

if T is the midpoint then ST = TU

8x = 2x + 18  move like terms to the same side

8x - 2x = 18 subtract like terms

6x = 18 divide both sides by 6

x = 3 to find ST replace x with 3

Yes, the additional education costing $36,000 will pay for itself in less than 2 years based on the increased earning potential.

To determine whether the additional education costing $36,000 will pay for itself, we need to consider the time it takes to recover the investment through the increased earning potential.

The additional yearly earning potential is the difference between the post-education income ($39,746) and the pre-education income ($21,484), which is $18,262.

To calculate the payback period, we divide the cost of education ($36,000) by the annual increase in earning potential ($18,262).

Payback Period = Cost of Education / Annual Increase in Earning Potential

Payback Period = $36,000 / $18,262

The payback period is approximately 1.97 years, meaning that it would take approximately 1.97 years to recover the cost of education through the increased earning potential.

If the time required to recover the cost is less than the time in which the increased earning potential will be realized, then the additional education would be considered to have paid for itself.

In this case, since the payback period is less than 2 years and the increased earning potential will continue for subsequent years, it can be concluded that the additional education costing $36,000 will pay for itself over time.

For more question on earning visit:

https://brainly.com/question/31903552

#SPJ8

The value of r² = 0.89 tells us that about 89% of the variation in the value of semitrucks is accounted for by the linear relationship created with their age (in years).

It should be noted that R² is a measure of the goodness of fit of a model. In regression, the R2 coefficient of determination is a statistical measure of how well the regression predictions approximate the real data points.

In other words, the age of semitrucks is a strong predictor of their value, and the remaining 11% of the variation in value is likely due to other factors not captured by this relationship.

Learn more about variation on:

https://brainly.com/question/6499629

#SPJ1

Answer:

here's your answer ;)

Step-by-step explanation:

Answer:

E: since irrational is non-terminating and the ... means it goes on forever which cannot be represented by a fraction

Answer: 10,488 cu. in.

Step-by-step explanation:

Volume of rectangular prism = l x w x h

= 16 x 18 x 23 = 6624 cu. in

Volumr of triangular prism = 1/2bh (height of prism)

= 1/2 x 23 x 21 x 16

= 3864 cu. in.

Volume of the figure = 6624 + 3864 = 10,488 cu. in

Answer: 21.5

Step-by-step explanation:

The order of operations are:

1) Parenthesis and Brackets

2) Exponents

3) Multiplication and Division (from left to right)

4) Addition and Subtraction (from left to right)

Parenthesis are first so let's solve them first

43 ÷ (7 − 3) × 2

43 ÷ (4) × 2

Now we only have division and multiplication

So we must do this from left to right, starting by 43 ÷ 4

43 ÷ 4 × 2

10.75× 2

Finally, multiply

10.75× 2

21.5

Answer:

\(43 \div (7 - 3) \times 2\)

using BODMAS ~

\(43 \div (4) \times 2 \\ \\ \dashrightarrow \: \frac{43}{\cancel{4}} \times \cancel{2} \\ \\ \dashrightarrow \: \frac{43}{2} \\ \\ \dashrightarrow \: 21.5\)

hope helpful ~

The numeric value of f(a) + f(h) for f(x) = x² - 5x + 3 is given as follows:

A. f(a) + f(h) = a² + h² - 5a - 5h + 6.

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The function for this problem is defined as follows:

f(x) = x² - 5x + 3.

Hence the numeric values are given as follows:

The only like term is the 3 for both expressions, hence the addition is given as follows:

f(a) + f(h) = a² + h² - 5a - 5h + 6.

Learn more about the numeric values of a function at brainly.com/question/28367050

#SPJ1

Answer: 7.9

Step-by-step explanation:

\(P=2000, r=0.09, n=2\\\\4000=2000\left(1+\frac{0.09}{2} \right)^{2t}\\\\4000=2000(1.045)^{2t}\\\\2=1.045^{2t}\\\\\log_{1.045} 2=2t\\\\t=\frac{\log_{1.045} 2}{2}\\\\t \approx 7.9\)

Step-by-step explanation:

Area of the trapezoid = height x average of bases

                 area = 4 x (8+13)/2) = 42 in^2

Area of triangle  = 1/2 base * height   = 1/2 (13-8) * 4 = 10 in^2

Answer:

I think its Yes!

Step-by-step explanation:

Hope this helps!!!

according to statement

Answer:

X= 32

Explanation:

I have run the answer through all the calculation I could think of and of them came out to this. Please tell me if I'm incorrect.

-Rocketgamer360