Help me pls i’m gonna fail the class>3

10+x=23 Solve for the variable and show your work

Mariana [72]

$10+x=23$

Subtract 10 from both sides

$10 + x = 23$
$-10$ $-10$
------------------
$x=13$

Hope I helped!

4 0

3 years ago

Read 2 more answers

Angle APR is vertical with Angle SPL. If Angle APR = 13x - 30, and Angle SPL = 3x + 70, what is the value of x?

Luba_88 [7]

Answer:

The value of $x$ is 10.

Step-by-step explanation:

If APR and SPL are vertical angles, then we get that $\angle APR = \angle SPL$ . Given that $\angle APR = 13\cdot x -30$ and $\angle SPL = 3\cdot x + 70$ , we find that the value of $x$ is:

$13\cdot x - 30 = 3\cdot x +70$

$10\cdot x = 100$

$x = 10$

The value of $x$ is 10.

6 0

3 years ago

Heights of Women. Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 8 c

Bogdan [553]

Answer:

a) 6.68% of heights less than 150 centimeters

b) 58.65% of heights between 160 centimeters and 180 centimeters

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:

$\mu = 162, \sigma = 8$