A number cube with faces labeled from 1 to 6 will be rolled once.

A circle is defined by the equation: x^2 + y^2 – x – 2y – 11/4 = 0. Determine the coordinates for the center of the circle and t

Vlad [161]

<span>x^2 + y^2 – x – 2y – 11/4 = 0
x^2 - x + y^2 - 2y = 11/4

Using completing the square method:

x^2 - x + 1/4 + y^2 - 2y + 1 = 11/4 + 1 + 1/4
(x - 1/2)^2 + (y - 1)^2 = 4

coordinates: (1/2 , 1)
radius: sqrt (4)</span>

6 0

3 years ago

Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a rand

lbvjy [14]

Answer:

a) 0.8708 = 87.08% probability that x is less than 60

b) 0.9641 = 96.41% probability that x is greater than 16.

c) 0.8349 = 83.49% probability that x is between 16 and 60

d) 0.1292 = 12.92% probability that x is more than 60.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 43, \sigma = 15$

a. x is less than 60

This is the pvalue of Z when X = 60. So

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

$Z = \frac{60 - 43}{15}$

$Z = 1.13$

$Z = 1.13$ has a pvalue of 0.8708

0.8708 = 87.08% probability that x is less than 60

b. x is greater than 16

This is 1 subtracted by the pvalue of Z when X = 16. So

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

$Z = \frac{16 - 43}{15}$

$Z = -1.8$

$Z = -1.8$ has a pvalue of 0.0359

1 - 0.0359 = 0.9641

0.9641 = 96.41% probability that x is greater than 16.

c. x is between 16 and 60

This is the pvalue of Z when X = 60 subtracted by the pvalue of Z when X = 16. We found those in a and b, si:

0.8708 - 0.0359 = 0.8349

0.8349 = 83.49% probability that x is between 16 and 60

d. x is more than 60

This is 1 subtracted by the pvalue of Z when X = 60.

So

1 - 0.8708 = 0.1292

0.1292 = 12.92% probability that x is more than 60.

6 0

3 years ago

A recipe for chocolate chip muffin states that yields 12 muffins with 340 cal per muffin you and decided make a mini muffins and

stira [4]

If you eat two of your muffins, you will consume 408 calories.

<h3>How many calories are in a muffin?</h3>

Here a recipe says that yields 12 muffins with 340 calories per muffin, so the total number of calories for the recipe is:

C = 12*340 cal = 4,080 cal.

If you followed the same recipe, then the total number of calories of your 20 muffins is 4,080 calories.

Assuming that those calories are evenly distributed among the 20 muffins, then the number of calories each muffin will have is given by the quotient:

4,080cal/20 = 204 cal.

Each of your 20 muffins will have 204 calories, then if you eat two of these, you will consume 408 calories.

If you want to learn more about quotients:

brainly.com/question/629998

#SPJ1

8 0

2 years ago

Solve for x. <br><br> x/5 = 20

umka21 [38]

Answer:

x=100

Step-by-step explanation: