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2 years ago

4 Uditi wants to make a shoe tray.

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

7 0

Uditi is not correct because the tray cannot hold at 6 pairs of shoes.

<h3>Calculate the size required to hold 6 pairs of shoes:</h3>

The first step is to calculate how big the tray must be. To do this, follow these steps:

1. Calculate the average or mean of the width of a pair of shoes.

18.2 + 19.7 + 19.4 + 18.6 + 18.9 = 94.8/ 5 = 18.96

2.Find out the total width of 6 pairs:

18.96 x 6 = 113.76

3. Add 10%.

113.76 / 100 x 10 = 11.376
113.76 + 11.376= 125.136

4.Add 3 cm in each side.

125.136 + 6 = 131.136

This means 131.136 is the ideal length of the tray based on the width of the shoes, and therefore the model Uditi's drew is not enough to hold 6 pairs of shoes.

Learn more about width in: brainly.com/question/26613529

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3 years ago

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Answer:

a. X is a binomial random variable with n = 50 and p = 0.04

b. Y is a binomial random variable with n = 40 and p = 0.015

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

X: the number of US residents (out of 50) with blood type AB.

Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States

This means that $p = 0.04, n = 50$

Y: the number of Australians (out of 40) with blood type AB.

In Australia, only 1.5% of the population has blood type AB.

This means that $p = 0.015, n = 40$

Z: the total number of individuals (out of 90) with blood type AB.

Here

$n = 90, p = 0.04*\frac{50}{90} + 0.015*\frac{40}{90} = 0.0289$

Which of the following is true about the random variables X, Y, and Z?

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3 years ago

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Speed is computed by dividing total distance by total time.

Speed = Total Distance / total time

From the above formula, we can derive the formula of time and distance.

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3 years ago

In Exercises 3 and 4, find the values of x and y <br> plz help!!!

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Answer:

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Step-by-step explanation:

The triangle given on close inspection, it is an equilateral triangle.

Each angle in an equilateral triangle is equal. Likewise, each side is equal.

Thus;

16 + y = 46

y = 46 - 16

y = 30

The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.

Thus, the smaller angle there is;

180 - (80 + 60) = 40°

Because sum of angles in a triangle is 180°

Now, x + 40 = 60°

Since that's also an angle of an equilateral triangle.

x = 60 - 40

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3 years ago

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3 years ago