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Mathematics

2 answers:

antoniya [11.8K]4 years ago

6 0

Answer:

(-1,4)

Step-by-step explanation:

rotating it 180 is a straight line so it would take the place of M

stellarik [79]4 years ago

3 0

Answer:

(-1,4)

Step-by-step explanation:

Because you look at the (Y,X) line first and then you see the Y is -1 and the X line is 4 and that will give you an answer as (-1,4)

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7 1/2 ÷ (4 1/2 - 5 1/8)

Yanka [14]

Answer:

-12

Step-by-step explanation:

7 1/2 ÷(4 1/2 - 5 1/8)

7 1/2 ÷ -5/8

7 1/2* -8/5

-12

7 0

3 years ago

Suppose that a wall is constructed from concrete blocks where a block is a normal random variable with mean 11 kg and standard d

Artemon [7]

Answer:

The value for k is about k = 11.093kg.

Step-by-step explanation:

To answer this question, that is, P(x<k) = 0.85, we can use the standardized value for a raw score, or the formula for obtaining z-scores:

$\\ z = \frac{x - \mu}{\sigma}$ [1]

Where

$\\ x$ is the raw score.

$\\ \mu$ is the population mean.

$\\ \sigma$ is the population standard deviation.

In this case, we are asking to find a value x = k, so that 85% of the blocks have weights less than k (kg).

We have also to use the values for the cumulative standard normal distribution with $\\ \mu = 0$ and $\\ \sigma = 1$ to find the value of z that corresponds to a probability of 0.85.

First step: find the z that corresponds to the probability of 0.85.

To use the formula [1], as we previously mentioned, we first need to find the value of z that corresponds to a probability of 0.85 using the cumulative standard normal distribution table (available in any Statistics books or on the Internet). Then, for a cumulative probability of 0.85, the corresponding value for z = 1.03 (approximately).

Second step: solve the formula [1] for x.

Solving this formula for x, we have:

$\\ z = 1.03$