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Korvikt [17]
3 years ago
9

Sonya wants to sew ribbon along each side of a square pillow.

Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0

We are given area of the ribbon = 144 square inches.

We know formula for side of a square = \sqrt{Area \ of \ a \ square }.

Plugging value of area in the formula, we get

Side of the square = \sqrt{144}

= 12 inches.

Sonya wants to sew ribbon along each side of a square pillow.

So, we need to find the perimeter of the square pillow.

<h3>Perimeter = 4 × side = 4 × 12 = 48 inches.</h3><h3>Therefore, she buy 48 inches of ribbon to have the exact amount that she needs.</h3>
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The American Bankers Association reported that, in a sample of 120 consumer purchases in France, 48 were made with cash, compare
tatuchka [14]

Answer:

Step-by-step explanation:

Hello!

You have the information for two variables

X₁: Number of consumer purchases in France that were made with cash, in a sample of 120.

n₁= 120 consumer purchases

x₁= 48 cash purchases

p'₁= 48/120= 0.4

X₂: Number of consumer purchases in the US that were made with cash, in a sample of 55.

n₂= 55 consumer purchases

x₂= 24 cash purchases

p'₂= 24/55= 0.4364

You need to construct a 90% CI for the difference of proportions p₁-p₂

Using the central limit theorem you can approximate the distribution of both sample proportions p'₁ and p'₂ to normal, so the statistic to use to estimate the difference of proportions is an approximate standard normal:

[(p'₁-p'₂) ± Z_{1-\alpha /2} * \sqrt{\frac{p'_1(1-p'_1)}{n_1} +\frac{p'_2(1-p'_2)}{n_2} }]

Z_{0.95}= 1.648

[(0.4-0.4364)±1.648 * \sqrt{\frac{0.4(1-0.4)}{120} +\frac{0.4364(1-0.4364)}{55} }]

[-0.1689;0.0961]

The interval has a negative bond, it is ok, keep in mind that even tough proportions take values between 0 and 1, in this case, the confidence interval estimates the difference between the two proportions. It is valid for one of the bonds or the two bonds of the CI for the difference between population proportions to be negative.

I hope this helps!

8 0
3 years ago
a baseball diamond measures 29 meters along each side. If a batter hit 3 doubles in a game, how many kilometers did the batter r
storchak [24]
(29 m/side)*(2 sides/double)*(3 doubles) = 174 m = 0.174 km
8 0
3 years ago
Read 2 more answers
A fast car travels 420 miles in a period of 210 minutes. What is the adverage rate of change of distance of the car in miles per
nikitadnepr [17]
If you would like to know the average rate in miles per hour, you can calculate this using the following steps:

420 miles ... 210 minutes
x miles = ? ... 1 hour = 60 minutes

420 * 60 = 210 * x
x = 420 * 60 / 210
x = 120 miles

The correct result would be 120 miles per hour.
7 0
3 years ago
What happens when magma convection currents move in opposite directions?
Nata [24]

Answer:

If the magma convection currents flow in opposite direction, the plates present floating on the molten magma also float apart, causing divergent plate boundaries.

7 0
2 years ago
Game Stop bought a video game for $20 and marked up the price 175%. What price did Juan pay for the game when he bought it at Ga
chubhunter [2.5K]

Answer:

$55

Step-by-step explanation:

175%x$20=$35

$20+$35=55

3 0
3 years ago
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