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3 years ago

What is the probability that you will randomly land on a BLUE section?

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

6 0

Answer:

2/8. or simplified= 1/4

Step-by-step explanation:

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A cone-shaped paper cup can hold 35 cubic inches of food. If the radius of the cone is 2.4 inches, what is the height of the con

SVETLANKA909090 [29]

$\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2.4\\
V=35
\end{cases}\implies 35=\cfrac{\pi (2.4)^2 h}{3}\implies 105=5.76\pi h
\\\\\\
\cfrac{105}{5.76\pi }=h\implies 5.805467091295 \approx h\implies 5.81 \approx h$

7 0

3 years ago

Read 2 more answers

The length of a rectangle is 22 feet longer than the width. the perimeter is 1616 feet. find the dimensions of the rectangle.

NemiM [27]

So we can setup variable equations for this:
so we're given that the length is 22feet longer than the width!
so as an expression length is equal to 22+w
and width as an expression is just w
so the formula for the perimeter for a rectangle is 2l+2w=perimeter
so fill it in now!
1616=2(22+w)+2w
1616=44+2w+2w
1616=44+4w
1572=4w
divide by four..
w=393
and length is simply 22 more than that as stated in the question!
so length is 415
dimensions are: 415x393

7 0

3 years ago

Help first gets brainly

pentagon [3]

Answer:

1. 100 1. 150 1. 1

2.45 2. 800

Step-by-step explanation:

1. 25% * 400 = 0.25 * 400 = $\frac{1}{4}$ * 400 = 100

2. 50% * 90 = 45

1. 75% * 200 = 0.75 * 200 = 3/4 * 200 = 150

2. 10% * 8000 = 0.1 * 8000 = 800

1. 5% * 20 = 0.05 * 20 = 1

7 0

3 years ago

What is the solution to the inequality 5x - 11 ≥ 31

Molodets [167]

1

Add 1111 to both sides

5x\ge 31+115x≥31+11

2

Simplify 31+1131+11 to 4242

5x\ge 425x≥42

3

Divide both sides by 55

x\ge \frac{42}{5}x≥542

7 0

3 years ago

The average age for a person getting married for the first time is 26 years (U.S. News and World Report, June 6, 1994). Assume t

leva [86]

Answer: 90% of people getting married for the first time get married before age of 31.13.

Step-by-step explanation:

Given : The average age ( $\mu$ ) for a person getting married for the first time is 26 years (U.S. News and World Report, June 6, 1994).

We assume that the ages for first marriages have a normal distribution with a standard deviation ( $\sigma$ ) of 4 years.

Let x be the age before that 90% of people getting married for the first time get married.

From z-table , the value corresponds to p-value of 0.90 is 1.28155.

Formula : $z=\dfrac{x-\mu}{\sigma}$

$1.28155=\dfrac{x-26}{4}\\\\ x-26=4\times1.28155\\\\ x-26=5.1262\\\\ x=5.1262+26=31.1262\approx31.13$

Hence, 90% of people getting married for the first time get married before age of 31.13.

5 0

3 years ago