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2 years ago

Which of the following numbers is not part of the solution to x ≤ -2?

Mathematics

2 answers:

kramer2 years ago

5 0

Answer: -1.76 is what i got

podryga [215]2 years ago

4 0

Answer:

-1.76

Step-by-step explanation:

Since it is in the negatives, the higher the number it is, such as -8, will be less than -2

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To paint a house, a painting company charges a flat rate of 500 for supplies plus $50 for each hour of labor. What is the slope

Maksim231197 [3]

Answer:

slope = $50

Step-by-step explanation:

Given the linear equation, y = mx + b:

The slope (m) is the rate of change for every<em> x </em>number of labor hours. What this implies is that whenever the input (x-value) or the number of labor hours increases or decreases, the value of y (total cost) will increase by the given slope value.

Slope: The painting company charges $50 for every 1 hour of labor.

The y-intercept (b) represents the flat rate or initial value. In the given problem, it states that the company charges $500 for supplies. This means that regardless of whether the company finishes working on the painting job, they will charge their customers the flat rate.

Combined, the linear equation will be:

y = 50x + 500

Please mark my answers as the Brainliest if you find my explanations helpful :)

5 0

2 years ago

Domain and range of y=-2x^2+12x-15

Dominik [7]

Answer:
Domain is (-infinity,infinity)
Range is (-infinity,3)

8 0

2 years ago

Let X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 137.1 ft an

Rama09 [41]

Answer:

0.0668 = 6.68% probability that the height of a randomly selected tree is as tall as mine or shorter.

0.0228 = 2.28% probability that the full height of a randomly selected tree is at least as tall as hers.

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:

$\mu = 137.1, \sigma = 3.2$

A tree of this type grows in my backyard, and it stands 132.3 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.

This is the pvalue of Z when X = 132.3. So

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

$Z = \frac{132.3 - 137.1}{3.2}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

0.0668 = 6.68% probability that the height of a randomly selected tree is as tall as mine or shorter.

My neighbor also has a tree of this type growing in her backyard, but hers stands 143.5 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.

This is 1 subtracted by the pvalue of Z when X = 143.5. So

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

$Z = \frac{143.5 - 137.1}{3.2}$