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Is the line for the equation y=-8 horizontal or vertical? what is the slope of this line? select the best answer

dalvyx [7]

The answer would be b

5 0

3 years ago

Suppose x is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that x is l

MaRussiya [10]

Answer:

The probability that x is less than 9.7 is 0.0069 = 0.69%

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:

$\mu = 22, \sigma = 5$

The probability that x is less than 9.7 is _____.

This is the pvalue of Z when X = 9.7. So

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

$Z = \frac{9.7 - 22}{5}$

$Z = -2.46$

$Z = -2.46$ has a pvalue of 0.0069

The probability that x is less than 9.7 is 0.0069 = 0.69%

5 0

4 years ago

An older toilet uses 27 l per flush, whereas a replacement toilet uses only 6 l per flush. if you flush the toilet four times pe

ipn [44]

Find out how many liters are used in the old toilet in a year;

4×27= 108 l (in a day)
365×108= 39420 liters (in a year)

Find out how many liters are used in the new toilet;

4×6=24 (in a day)
24×365=8760 l (in a year)

Find the water saved; 39420-8760
= 30660 l saved.

Hope I helped :)

3 0

4 years ago

What percentage is a solution that 20 grams of medication per 100mL of solution

klio [65]

Answer:

20%

Step-by-step explanation:

100mL is the same has 100 grams. Therefore 20 grams of a 100 gram solution would be 20% of the solution.

4 0

2 years ago

Complete the standard form of the equation of a hyperbola that has vertices at (-10, -15) and (70, -15) and one of its foci at (

Elena L [17]