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3 years ago

Sphere with a radius of a radius of 42 inches

Mathematics

1 answer:

prisoha [69]3 years ago

5 0

Answer:

310339.1 in^3

Step-by-step explanation:

Volume=4/3*pi*r^3

Volume=4/3*pi*42^3

Volume=4/3*pi*74088

Volume=98784*pi

Volume=310339.0887

So the volume is about 310339.1 in^3

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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 $M = 0.04$

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

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

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

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

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

$n = 563.8$

Rounding up

We need a sample size of 564.

4 0

3 years ago

8. The trapezoids are similar. The area of the smaller trapezoid is 131 m2. Find the area of the larger trapezoid to the nearest

kolbaska11 [484]

Answer:

$3,726\ m^{2}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x----> corresponding side of the larger trapezoid

y----> corresponding side of the smaller trapezoid

$z=\frac{x}{y}$

we have

$x=64\ m$

$y=12\ m$

substitute

$z=\frac{64}{12}$

step 2

Find the area of the larger trapezoid

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z----> the scale factor

x----> area of the larger trapezoid

y----> area of the smaller trapezoid

$z^{2}=\frac{x}{y}$

we have

$z=\frac{64}{12}$

$y=131\ m^{2}$

substitute

$(\frac{64}{12})^{2}=\frac{x}{131}$

$x=(\frac{4,096}{144})(131)$

$x=3,726\ m^{2}$

5 0

3 years ago

Jason correctly graphed an inequality as shown below

sattari [20]

4 < = x + 4 < = 8.....subtract 4 from all sections
4 - 4 < = x + 4 - 4 < = 8 - 4...simplify
0 < = x < = 4

this would produce a number line with a solid circle on 0 and a solid circle on 4, with shading in between....just like the graph shown in the picture u posted.

so the expression u would add would be : x + 4

8 0

3 years ago

Solve. x² – 5x + 6 = 0 {–2, –3} {2, 3} {3, –2} {5, –1}

ddd [48]

What 2 numbes multiply go get 6 and add to get -5
-6 and 1

(x-6)(x+1)=0
set to zero

x-6=0
x=6

x+1=0
x=-1

last one

4 0

3 years ago

What is 2^30 write using exponents explain ur reasonging

padilas [110]

2 to the 30 power is 1073741824

5 0

3 years ago