Which describes the range of the parent absolute value function?

Mathematics

1 answer:

aleksklad [387]3 years ago

6 0

Answer:

yly ls an integer that is the answer

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A person's blood pressure is monitored by taking 3 readings daily. The probability distribution of his reading had a mean of 13

nexus9112 [7]

Answer:

a) The sampling distirbution has a mean of 135 and a standard deviation of 1.732.

b) The sampling distribution is also bell shaped, centered in the population mean. It has less spread that the population distribution because the standard deviation is smaller.

c) P(X>140)=0.002

Step-by-step explanation:

a) We are taking samples of size n=3, as we are taking 3 readings daily.

Each reading has a mean of 135 and a standard deviation of 3.

The sampling distribution depends on the population parameters and the sample size.

The mean of the sampling distribution is equal to the population mean. In this case, the mean of the sampling distribution is 135.

The standard deviation depends on the standard deviation of the population and the sample size, and is calculated as:

$\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{3}{\sqrt{3}}=1.732$

b) The sampling distribution is also bell shaped, centered in the population mean. It has less spread that the population distribution because the standard deviation is smaller.

c) The probability that the sample mean exceeds 140 can be calculated using the standard normal distribution.

First, we have to calculate the z-score for X=140. We use for this the mean and standard deviation of the sampling distribution.

$z=\dfrac{X-\mu_M}{\sigma_M}=\dfrac{140-135}{1.732}=\dfrac{5}{1.732}=2.887$

With this z-score, we can look up the probabilty in the standard normal distribution

$P(X>140)=P(z>2.887)=0.002$

3 0

3 years ago

The length of a rectangle is 8 feet more than the width. If the width is increased by 4 feet, and the length is decreased by 5 f

SVEN [57.7K]

Answer:

Width = 12 feet

Length = 20 feet

Step-by-step explanation:

The area of a rectangle is A = l*w. Here the length is 8 feet more than the width or 8 + w and the width is w. So the area is A = w(8+w) = 8w + w²

If the dimensions are changed then the expressions will change. The width is increased by 4 feet. This means the width w becomes w + 4. The length is decreased by 5 feet. This means the length becomes 8 + w - 5 = 3 + w. So the area of the new triangle is A = (w+4)(3+w) = w² + 7w + 12.

Since the areas are the same, set them equal to each other and solve for w.

w² + 7w + 12 = 8w + w² Subtract w² from both sides.

7w + 12 = 8w Subtract 7w from both sides.

12 = w

The original width w is 12 feet. This means the original length which was 8 + w = 8 + 12 = 20 feet.

7 0

3 years ago

You roll a fair 6-sided die.

Black_prince [1.1K]

P(not 3)=5/6 this is the correct answer

3 0

3 years ago