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Vikentia [17]
3 years ago
6

Dz where y is a circle of radius 2 and center 0 Exercise 1. Evaluate 1 +z2

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
6 0

Answer:

-21

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
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(1 point) The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with a mean of 12
garik1379 [7]

Answer:

a) Z = -2.7

b) Z = 2.3

c) Kyle's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.

d) X = 144.5

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 127, \sigma = 10

(a) 100 millimeters z-score =

Z = \frac{X - \mu}{\sigma}

Z = \frac{100 - 127}{10}

Z = -2.7

(b) 150 millimeters z-score =

Z = \frac{X - \mu}{\sigma}

Z = \frac{150 - 127}{10}

Z = 2.3

(c) Kyle's doctor told him that the z-score for his systolic blood pressure is 1.75. Which of the following is the best interpretation of his score?

1.75 standard deviations above the mean systolic blood pressure of males.

The problem does not talk about age.

So the answer is:

Kyle's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.

d) Calculate Kyle's blood pressure

This is X when Z = 1.75. So

Z = \frac{X - \mu}{\sigma}

1.75 = \frac{X - 127}{10}

X - 127 = 1.75*10

X = 144.5

7 0
4 years ago
Find the coefficient of the squared term in the simplified form for the second derivative, f "(x) for f(x) = (x³ + 3x² + 3)(3x³
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The coefficient for the equation is -24, because the formula applies like this

f(x) = (x^3 + 3x^2 + 3)(3x^3 - 6x^2 - 8x + 1)
     
      = +(x^3) (-8x) + (2x) (3x^3)

       Once we simplified through it all, we should be the answer

        f"(x) = -24x^2
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3 years ago
We want to partition 100 mL into 10 equal parts. How many milliliters should we pour in each cup?
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Step-by-step explanation:

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