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2 years ago

Henry wants to join a book of the month club. The first club costs $30 to join and $10 per

Mathematics

1 answer:

Lena [83]2 years ago

7 0

Answer:

Step-by-step explanation:

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The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0

dedylja [7]

Answer: a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

Mean = 3 pounds

Standard deviation = 0.25 pounds

n = 28 bricks

So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

$P(X>2.75)\\\\=P(z>\dfrac{2.75-3}{0.25}\\\\=P(z>\dfrac{-0.25}{0.25})\\\\=P(z>-1)\\\\=0.8413$

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

$P(X>3.75)\\\\=P(z>\dfrac{3.75-3}{0.25})\\\\=P(z>\dfrac{0.75}{0.25})\\\\=P(z>3)\\\\=0.9987$

Hence, a) 0.8413, b) 0.9987.

4 0

3 years ago

Give the location of Berlin as an ordered pair X, Y

shusha [124]

The coordinates are based on two factors: the x coordinate and the y-coordinate.

The x coordinate is the position of the coordinate horizontally.

The y coordinate is the position of the coordinate vertically.

Berlin is at x-coordinate of 7 and y-coordinate of 8.

Thus the whole coordinate for Berlin is (7,8).

Hope that helped!

8 0

2 years ago

A marketing consultant observed 40 consecutive shoppers to estimate the average money spent by shoppers in a supermarket store.

KonstantinChe [14]

Answer:

0.998 is the probability that the average money spent by a sample of 40 shoppers is within $10 of the actual population mean.

Step-by-step explanation:

We are given the following information in the question:

Standard Deviation, σ = $21.51

We are given that the distribution of average money spend is a bell shaped distribution that is a normal distribution.

Formula:

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

We have to find:

P( average money spent is within $10 of the actual population mean.)

$= P( z \leq \displaystyle\frac{10\times \sqrt{40}}{21.51}}) = P(z \leq 2.94)$

Calculation the value from standard normal z table, we have,

$P(z \leq 2.94) = 0.998$

6 0

2 years ago

What is 5 1/2 is its simple form?

Semmy [17]

Even numbers can’t be simplified

3 0

2 years ago

Michelle's class is handing out balloon arrangement consisting of 4 balloons each each balloon has and equally likely chance of

lara [203]

Answer:

The answer is 1/30 or 0.0333333...

Step-by-step explanation:

The way to find experimental probability is by comparing the number of times the event occurs to the total number of trials. In this question, there has only been one arrangement that consists of ballooons that are all the same color. This means that 1 (the number of times the event occurred)/ 30 (total number of trials) is the answer. I hope you have a great day!!

3 0

2 years ago