All categories

3 years ago

At the banquet 450 people had chicken and 150 had pasta. What percent of people has pasta?

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

5 0

25 percent of people had pasta.

First add 450 and 150 (which equals 600)

Next divide 600 by 150 (which equals 4)

Which means 150 is a fourth of six hundred, and a fourth is 25 percent.

Which leads to my answer of 25 percent

You might be interested in

Solve 2(x + 4) + 8x = 14

Alexandra [31]

Use photo math. or mathpapa to help you solve the equation

7 0

2 years ago

In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces

nadya68 [22]

Answer:

a) 0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less

b) 0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c) 0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours

d) 86 should have a battery life of at least 9 hours.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

The probability of being higher than x is:

$P(X > x) = \frac{b - x}{b-a}$

The probability of being between c and d is:

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

This means that $a = 8.5, b = 12$

a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

$P(X \leq x) = \frac{x - a}{b-a}$

$P(X \leq 10) = \frac{10 - 8.5}{12 - 8.5} = 0.4286$

0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less.

b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

$P(X > x) = \frac{b - x}{b-a}$

$P(X > 11) = \frac{12 - 11}{12 - 8.5} = 0.2857$

0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

$P(9.5 \leq X \leq 11.5) = \frac{11.5 - 9.5}{12 - 8.5} = 0.5714$

0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours.

d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

Proportion of iPad Minis with a battery life of at least 9 hours.

$P(X > 11) = \frac{12 - 9}{12 - 8.5} = 0.8571$

Out of 100:

0.8571*100 = 85.71

To the nearest whole number

86 should have a battery life of at least 9 hours.

5 0

3 years ago

Select the three ratios that are equivalent to<br> 2 adults/5 children

IceJOKER [234]

2:5
4:10
8:20
16:40
Hope that helps:)

3 0

3 years ago

Read 2 more answers

Consider the solution to the linear equation. 5 (x + 6) = 50. 5 x + 30 = 50. 5 x = 20. x = 4. Which describes the inverse operat

dem82 [27]

(trying to isolate/get x by itself in the equation)

5(x + 6) = 50 Distributive property [distribute 5 into (x + 6)]

5x + 30 = 50 Subtraction [subtract 30 on both sides of the equation]

5x = 20 Division [divide 5 on both sides]

x = 4

Subtraction then division, the 2nd option

7 0

3 years ago

Read 2 more answers

Half of Ethan string is equal to 2/3 of Kayla stream the total length of the string is 10 feet how much longer is Ethan string K

Verizon [17]

Answer:

10/7 feet

Step-by-step explanation:

Let e = Ethan

k = Kayla

The following equations can de derived from the equation :

1/2 e = 2/3k

multiply both sides of the equation by 2

e = 4/3k --- 1

e + k = 10 --- 2

Substitute for e in equation 2

4/3k + k = 10

7/3k = 10

multiply both sides of the equation by 3/7

k = 30/7

Substitute for k in equation 1

e = (4/3) x 30/7 = 40/7

difference in length = 40/7 - 30/7 = 10/7

3 0

3 years ago