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svp [43]
2 years ago
11

Which of the following is the Cube for 5?

Mathematics
2 answers:
never [62]2 years ago
7 0

Answer:

D. 125

Step-by-step explanation:

Vlad1618 [11]2 years ago
7 0
The correct answer is D: 125

The cubed of 5 is the same as: 5•5•5
When you multiply 5•5 = 25
And when you multiply 25 • 5 = 125
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A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon
fiasKO [112]

Answer:

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.

This means that n = 603, \pi = \frac{142}{603} = 0.2355

95% confidence level

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

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

8 0
2 years ago
Solve for and in the following simultaneous equations below; 5x−4y=8 and 2x+y=11.
lorasvet [3.4K]

Answer:

x=4 and y=3

Step-by-step explanation:

put one of the equations in slope form and solve

7 0
3 years ago
Read 2 more answers
What is the measure of EAB in circle F?<br> 72°<br> 92°<br> 148°<br> 200°
Arada [10]

We have been given a diagram. We are asked find the measure of arc EAB.

First of all, we will find the measure of arcs ED and CB using our given information.

We know that measure of an inscribed angle is half the measure of intercepted arc.

We can see that angle EBC is inscribed angle of arc EDC, so measure of arc EDC will be twice the measure of angle EBC.

\widehat{EDC}=2\times m\angle EBC

\widehat{EDC}=2\times 80^{\circ}

\widehat{EDC}=160^{\circ}

Similarly, we will find the measure of arc DCB.

\widehat{DCB}=2\times m\angle DEB

\widehat{DCB}=2\times 70^{\circ}

\widehat{DCB}=140^{\circ}

\widehat{ED}=\widehat{EDC}-\wdiehat{DC}

\widehat{ED}=160^{\circ}-88^{\circ}

\widehat{ED}=72^{\circ}

\widehat{ED}+\widehat{DCB}+\widehat{EAB}=360^{\circ}

72^{\circ}+140^{\circ}+\widehat{EAB}=360^{\circ}

212^{\circ}+\widehat{EAB}=360^{\circ}

\widehat{EAB}=360^{\circ}-212^{\circ}

\widehat{EAB}=148^{\circ}

Therefore, the measure of arc EAB is 148 degrees and option C is the correct choice.

8 0
3 years ago
Read 2 more answers
Please I need help
Dimas [21]

Answer:

Step-by-step explanation:

The directrix is a vertical line, so the parabola is horizontal. The focus lies to the left of the directrix, so the parabola opens to the left.

For a left-opening parabola:

x = a(y-k)²+h,

a < 0,

vertex (h,k)

focal length p = 1/|4a|

focus (h-p, k)

directrix: x=h+p

Apply your data

focus (1,-4)

directrix x=2

vertex (1.5,-4).

focal length p = 0.5

a = -1/|4p| = -½

x = -½(y-2)²+ ½

8 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 200 yards. what are the dimensions of the rectangle if the length is 80 yards more than the? wid
liq [111]
P = 2(L + W)
P = 200
L = W + 80

200 = 2(W + 80 + W)
200 = 2(2W + 80)
200 = 4W + 160
200 - 160 = 4W
40 = 4W
40/4 = W
10 = W.........the width is 10 yds
4 0
3 years ago
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