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3 years ago

5

A bag contains six chocolate chip cookies, three chocolate bars, and five cupcakes. If a treat is picked at random out of the ba

g, find the value of the following:
P(chocolate bar)

P(cupcake or cookie)

P(donut)

1 answer:

never [62]3 years ago

4 0

Chocolate 25 cupcake 10 donut 15

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In Pennsylvania the average IQ score is 101.5. The variable is normally distributed, and the population standard deviation is 15

blsea [12.9K]

Answer:

We conclude that the Pennsylvania school district have an IQ higher than the average of 101.5

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 101.5

Sample mean, $\bar{x}$ = 106.4

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 15

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 101.5\\H_A: \mu > 101.5$

We use one-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{106.4 - 101.5}{\frac{15}{\sqrt{30}} } = 1.789$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.96$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis.

Thus, we conclude that the Pennsylvania school district have an IQ higher than the average of 101.5

5 0

3 years ago

at a pet store 24% of the animal were dogs. If there are a total of 62 animals at the pet store, write a proportion that can be

Marysya12 [62]

Is/of = %/100
x/62 = 24/100
Where x is the number of dogs and 62 is the total number of animals. 24 is the percent of dogs which is out of 100 percent of all the animals.

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3 years ago

8x + 8 = 180 help me please

Alex_Xolod [135]

Answer:

Step-by-step explanation:

8x=180-8

8x=172

8x/8=172/8

x=21.5

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7. What is the slope of the line?<br> 2x - 5y =8

Semenov [28]

Answer: slope is −25 - 2 5

Step-by-step explanation:

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Peeta says that because there are 5,280 feet in 1 mile, there are more than 25,000 feet in 5 miles. Is peeta correct? Explain. P

leonid [27]

Peeta is correct because when you multiply 5,280 by 5, you get 26,400 which is more than 25,000.

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3 years ago

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