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dezoksy [38]
3 years ago
12

A carpet costs $15 per square foot. If the area you want to carpet is 19.7 square meters, how much will it cost to buy the carpe

t?
Mathematics
1 answer:
EleoNora [17]3 years ago
5 0
$ 295 because you can multiple 15×19.7 is =295.5
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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
Write what the expressions below best represent within the context of the word problem.
Brilliant_brown [7]

X=2 NICKELS.

3*2=6 QUARTERS.

PROOF:

.25*6+.05*2=1.60

1.50+.10=1.60

1.60=1.60

3 0
3 years ago
HELLP -2(3- d) = 4 ?
lidiya [134]

Answer:

d = 5

Step-by-step explanation:

-2(3-d)=4

-6+2d=4

2d=10

d=5

4 0
3 years ago
Read 2 more answers
What is the volume of a cube with the bottom number being 0.5 m
Lera25 [3.4K]

Answer:

0.13

Step-by-step explanation:

V=a3=0.53=0.125

8 0
3 years ago
Given: ∆ABC, AB = BC, BM = MC<br> AC = 40, m∠BAC = 42º<br> Find: AM
Anna [14]

Answer:

The length of AM is 26.50 units.

Step-by-step explanation:

Given information:  AB = BC, BM = MC , AC = 40, ∠BAC = 42º.

Since two sides of triangle are equal, therefore the triangle ABC is an isosceles triangle.

The corresponding angles of congruents sides are always equal. So angle C is 42º.

According to the angle sum property the sum of interior angles is 180º.

\angle B=180-42-42=96

Law of Sine

\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}

\frac{\sinB}{AC}=\frac{\sin(C}{AB}

\frac{\sin(96)}{40}=\frac{\sin(42}{AB}

AB\sin(96)=40\sin(42)

AB=\frac{40\sin(42)}{\sin(96)}

AB=26.91

Therefore the length of AB and BC is 26.91.

Since M is midpoint of BC, so

BM=\frac{BC}{2}=\frac{26.91}{2}=13.455

Use Law of Cosine in triangle ABM to find the value of AM.

a^2=b^2+c^2-2bc\cos A

AM^2=AB^2+BM^2-2(AB)(BM)\cos (B)

AM^2=(26.91)^2+(13.455)^2-2(26.91)(13.455)\cos (96)

AM=26.50

Therefore the length of AM is 26.50 units.

6 0
3 years ago
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