Evaluate. (23)6 Enter your answer as a fraction in simplest form by filling in the boxes. $$

alekssr [168]

Answer:

Step-by-step explanation:

8 0

2 years ago

According to the last census (2010), the mean number of people per household in the United States is LaTeX: \mu = 2.58 Assume a

Veseljchak [2.6K]

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, $\mu$ = 2.58 and Standard deviation, $\sigma$ = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar $\leq$ 2.50)

P(Xbar < 2.66) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } }$ ) = P(Z < -1.68) = 1 - P(Z 1.68)

= 1 - 0.95352 = 0.04648

P(Xbar $\leq$ 2.50) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }$ ) = P(Z $\leq$ -3.92) = 1 - P(Z < 3.92)

= 1 - 0.99996 = 0.00004

Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

7 0

3 years ago

Could use help !! Please help

polet [3.4K]

Line b and h because to find radius it half of the diameter of STRAIGHT lines

7 0

3 years ago

One afternoon, 27 people withdraw $100 from an ATM. What was the overall change in the amount of money in the machine?

Usimov [2.4K]

Answer:

The change is a decrease of $2700.

Step-by-step explanation:

Given

Total Number of people = 27

Amount each person withdrew = $100

The total withdrawn amount by 27 people = 100 × 27

= $2700

Let M be the amount of money in the ATM at the beginning.

As $2700 was drawn from the ATM, therefore, the change the amount of money in the machine will be:

M - 2700

It means the change is a decrease of $2700.

3 0

3 years ago

There are between 50 & 60 eggs in a basket. When roza counts by 3's there are 2 leftover and when she counts by 5's there ar

avanturin [10]

There are 59 eggs in the basket

Step-by-step explanation:

There are between 50 & 60 eggs in a basket

When Roza counts by 3's there are 2 leftover
When she counts by 5's there are 4 leftover

We need to find how many eggs in the basket

∵ When Roza counts by 3's there are 2 leftover

∵ When she counts by 5's there are 4 leftover

- That means the number of eggs when divided by 3 give

remainder 2 and when divided by 5 give remainder 4

- To find the number look for the numbers that divisible by 5 and

add 4 to them and then check the remainder when they divided

by 3

∵ Between 50 and 60 there is only one number divisible by 5

is 55 (not including 50 or 60)

∵ 55 + 4 = 59

∴ 59 gives remainder 4 when divided by 5

Let us check them with 3

∵ 59 - 2 = 57

∵ 57 is divisible by 3 ⇒ (57 ÷ 3 = 19)

∴ 59 when divide by 3 gives remainder 2

∴ 59 gives remainder 4 when divided by 5 and remainder 2 when

divided by 3

∴ The number of eggs in the basket is 59

There are 59 eggs in the basket

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

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6 0

3 years ago