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3 years ago

5

PLZ HELP ILL GIVE BRAINLIEST, At a restaurant, one small drink costs $1.15 and one large drink costs

1 answer:

ale4655 [162]3 years ago

5 0

$6.95 before tax is the total cost

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Franchise Business Review stated over 50% of all food franchises earn a profit of less than $50,000 a year. In a sample of 130 c

nydimaria [60]

Answer:

We need a sample size of 564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$\pi = \frac{81}{130} = 0.6231$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.

We need a sample size of n

n is found when $M = 0.04$

So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.6231*0.3769}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.6231*0.3769}$

$\sqrt{n} = \frac{1.96\sqrt{0.6231*0.3769}}{0.04}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.6231*0.3769}}{0.04})^{2}$

$n = 563.8$

Rounding up

We need a sample size of 564.

4 0

3 years ago

Alan bowls one game, which consists of 10 frames. The number of pins he knocked down in each frame is 5, 6, 7, 5, 7, 9, 2, 4, 8,

Igoryamba

A measure of the center

4 0

4 years ago

The equation of line L is 3x − 4y = 24. The line intersects the X − axis at A and the

zhenek [66]

Answer:

Gradient=¾

Step-by-step explanation:

Write the equation in slope-intercept form y=mx+c

3x-4y=24

-4y=24-3x

y=24/-4-3x/-4

y=-6+¾x

y=¾x-6

The gradient is therefore ¾

The y-intercept of the line occurs at(0,-6)

The x-intercept of the line occurs at(8,0)

Finding the midpoint of the two intercepts

{(x1+x2)/2,(y1+y2)/2}

M={0+8/2,(-6+0/2)}

M={8/2,-6/2}

M=(4,-3)

As you can see, the other information was not required to solve it

8 0

3 years ago

Mr. Aydlett is on an island 2 miles offshore and wishes to reach a coastal village 6 miles down a straight shoreline from the po

eimsori [14]

Answer:t=2.11 hr

Step-by-step explanation:

Given

Aydlett is 2 miles offshore and village is 6 miles down a straight line from the Point on the shore nearest the island

Person can row boat at 2 mph in water and can walk 5 mph in land

Let us suppose Person land the boat at a x miles from Point on the shore

thus time taken by him to reach

$t_1=\frac{\sqrt{x^2+2^2}}{2}$

Time taken person to reach village by land is

$t_2=\frac{6-x}{5}$

total time $=\frac{\sqrt{x^2+2^2}}{2}+\frac{6-x}{5}$

we need the time to be least so differentiate t w.r.t to x

$\frac{\mathrm{d} t}{\mathrm{d} x}=\frac{2x}{2\cdot 2\cdot \sqrt{4+x^2}}-\frac{1}{5}$

Equating Above term to zero to get minimum time

$\frac{x}{2\sqrt{4+x^2}}=\frac{1}{5}$

$25x^2=16+4x^2$

$x=\frac{4}{\sqrt{21}}$

Substituting x in time equation

$t=\frac{\sqrt{4+0.761}}{2}+\frac{6-0.872}{5}$

$t=2.116 hr$

5 0

3 years ago

Find the value of each variable<br> x= <br> y=

mamaluj [8]

Can’t see it sorry jk the answer is x=567 y=766

4 0

3 years ago