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2 years ago

Choose the inequality that could be used to solve the following problem.

Mathematics

2 answers:

Anit [1.1K]2 years ago

5 0

D...........................

Pie2 years ago

3 0

Answer:

3x = - 6

Step-by-step explanation:

Three times a number is at most negative six

3 times a number would be 3 times x, is means the equal sign (=)

3x = - 6

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Select the order pair(s) that are solutions to this system of inequalities:

Usimov [2.4K]

Use desmos.com and graph those inequalities. It is pretty easy.

6 0

2 years ago

Andrew is 61 years. Erica is 31 years old. how many years ago was Andrew’s age 4 times Erica’s age

kozerog [31]

Answer:

21 Years Ago

Step-by-step explanation:

61 - 21 = 40

31 - 21 = 10

40/10 = 4

4 0

2 years ago

The feet of the average adult woman are 24.6 cm long, and foot lengths are normally distributed. If 16% of adult women have feet

nevsk [136]

Answer:

Approximately 16% of adult women have feet longer than 27.2 cm.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The feet of the average adult woman are 24.6 cm long

This means that $\mu = 24.6$

16% of adult women have feet that are shorter than 22 cm

This means that when $X = 22$ , Z has a p-value of 0.16, so when $X = 22, Z = -1$ . We use this to find $\sigma$

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

$-1 = \frac{22 - 24.6}{\sigma}$

$-\sigma = -2.6$

$\sigma = 2.6$

Approximately what percent of adult women have feet longer than 27.2 cm?

The proportion is 1 subtracted by the p-value of Z when X = 27.2. So

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

$Z = \frac{27.2 - 24.6}{2.6}$

$Z = 1$

$Z = 1$ has a p-value of 0.84.

1 - 0.84 = 0.16

0.16*100% = 16%.

Approximately 16% of adult women have feet longer than 27.2 cm.

3 0

2 years ago

ΔABC is a right triangle in which is a right angle, AB = 1, AC = 2, and BC = .

ollegr [7]

We are asked to solve for the measurement of side BC in the given right triangle ΔABC and other side measurements were also given such as AB=1 and AC = 2. Since this is a right triangle, we can use and apply the Pythagorean theorem c²= a² + b² and the solution is shown below:
c = AC
b = BC
a = AB
AC² = AB² + BC² , substitute values we have:
2² = 1² + BC²
BC² = 4-1
BC = √3
BC = 1.732

The answer for the length of BC is 1.732 units.

8 0

2 years ago

What is the scale factor of the dilation

Marizza181 [45]

Looking at how the image shrinked from the original, you can assume that the scale would be a fraction. Since they remained negative, then the fraction wouldn't contain a negative. Therefore the answer would be C.

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2 years ago