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2 years ago

12

Rosa has a rectangular picture frame that measures 9 inches by 16 inches. What is the diagonal distance across the frame? You ma

y want to draw a sketch to help you solve the problem. Round your answer to the nearest tenth if necessary.

1 answer:

Sloan [31]2 years ago

3 0

72 is the correct answer

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In a survey of 702 students, 2/3 liked rock music. How many students liked rock music?

MissTica

Answer:

468

Step-by-step explanation:

702 divided by 3 times 2

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3 years ago

José’s mother is trying to decide whether or not she should buy a 12-ounce package of coffee on sale for $7.50. She knows that s

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She should chose the $9 because it is cheaper ;)

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2 years ago

Martha and Janet each decide to invest $600 into different accounts. Martha's account earns $4.50 every month. Janet's account e

ehidna [41]

Answer:

<u>Janet's interest is $3.90 every month.</u>

Step-by-step explanation:

First, you need to set up a proportion to find Janet's interest:

0.65%/100 = x/600

Step 1: Cross-multiply.

0.65/100/100 = x/600

(0.65/100)*(600)=x*(100)

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Step 2: Flip the equation.

100x=39/10

Step 3: Divide both sides by 100.

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Janet's interest is $3.90 every month.

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3 years ago

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2 years ago

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Industry standards suggest that 10 percent of new vehicles require warranty service within the first year. Jones Nissan in Sumte

borishaifa [10]

Answer:

a) 0.3874

b) 0.3874

c) 0.1722

d) Mean and Standard Deviation = 0.9

Step-by-step explanation:

This is binomial distribution problem that has formula:

$P(x=r)=nCr*p^{r}*q^{n-r}$

Here p is probability of success = 10% = 0.1

q is probability of failure, that is 90% = 0.9

n is total number, which is 9, so n = 9

a)

The probability that none requires warranty is r = 0, we substitute and find:

$P(x=r)=nCr*p^{r}*q^{n-r}\\P(x=0)=9C0*(0.1)^{0}*(0.9)^{9-0}\\P(x=0)=0.3874$

Probability that none of these vehicles requires warranty service is 0.3874

b)

The probabilty exactly 1 needs warranty would change the value of r to 1. Now we use the same formula and get our answer:

$P(x=r)=nCr*p^{r}*q^{n-r}\\P(x=1)=9C1*(0.1)^{1}*(0.9)^{9-1}\\P(x=1)=0.3874$

This probability is also the same.

Probability that exactly one of these vehicles requires warranty is 0.3874

c)

Here, we need to make r = 2 and put it into the formula and solve:

$P(x=r)=nCr*p^{r}*q^{n-r}\\P(x=2)=9C2*(0.1)^{2}*(0.9)^{9-2}\\P(x=2)=0.1722$

Probability that exactly two of these vehicles requires warranty is 0.1722

d)

The formula for mean is

Mean = n * p

The formula for standard deviation is:

Standard Deviation = $\sqrt{n*p*(1-p)}$

Hence,

Mean = 9 * 0.1 = 0.9

Standard Deviation = $\sqrt{9*0.1*(1-0.1)}=0.9$

4 0

2 years ago