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2 years ago

I have 2 Questions.

Mathematics

2 answers:

Nesterboy [21]2 years ago

6 0

What type of class are you in

aleksandr82 [10.1K]2 years ago

5 0

Answer:

looks hard omgong

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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

a circles diameter matches the side length of a square. What percent of the square's area is the circle's area?

pickupchik [31]

Answer:

Step-by-step explanation:

$\text{Let}\ s\ -\ \text{side length of a square. Therefore the diameter d = 2r has }\\\text{length d=s}\to 2r=s\to r=\dfrac{s}{2}.\\r-\text{radius}\\\\\text{The formula of an area of a square:}\\\\A_{\square}=(side\ length)^2\\\\\text{Therefore:}\ A_{\square}=s^2.\\\\\text{The formula of an area of a circle:}\\\\A_O=\pi r^2\\\\\text{Substitute}\ r=\dfrac{s}{2}:\\\\A_O=\pi\left(\dfrac{s}{2}\right)^2=\dfrac{s^2\pi}{4}$

$\text{Calculate what fraction of the area of the square is the area of the circle}\\\\\dfrac{A_O}{A_{\square}}=\dfrac{\frac{s^2\pi}{4}}{s^2}=\dfrac{s^2\pi}{4}\cdot\dfrac{1}{s^2}\qquad\text{cancel}\ s^2\\\\\dfrac{A_O}{A_{\squera}}=\dfrac{\pi}{4}\\\\\text{Convert to the percent:}\\\\\dfrac{\pi}{4}\cdot100\%=25\pi\%\\\\\pi\approx3.14\to25\pi\%\approx(25)(3.14)\%=78,5\%$

3 0

3 years ago

Y=x^2+2;D:-1, 0, 1, 2, 3

IrinaK [193]

For the various values of X the values of Y are given as follows

X=-1; Y=3

X=0; Y=2

X=1; Y=3

X=2; Y=6

X=3; Y=11

Step-by-step explanation:

Step 1:

Let us consider the given expression as

$Y= X^{2} + 2$

Step 2:

Let us discuss the value of Y for the various values of X

If X = -1, Y = (-1)² + 2 = 3

If X = 0, Y = (0)² + 2 = 2

If X = 1, Y = (1)² + 2 = 3

If X = 2, Y = (2)² + 2 = 6

If X = 3, Y = (3)² + 2 = 11

8 0

3 years ago

Consider the quadratic function that has x-intercepts of –1 and –7 and passes through the point (–2, –20). What is the value of

iVinArrow [24]

The correct answer is 4

6 0

3 years ago

Read 2 more answers

16) Devin earned $81.20 for working 7 hours. How

DerKrebs [107]

Answer:

127.6

Step-by-step explanation

1) Take the final amount and divide it by the number of hours worked, then multiply it by the new number of hours worked. In this case its (81.20 /7)*11-127.6

8 0

3 years ago