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3 years ago

A measure of the capacity of a three-dimensional figure is called the figure’s ______

Mathematics

1 answer:

Ivenika [448]3 years ago

4 0

Answer:

volume

Step-by-step explanation:

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What is the value of -2(x + 5)

Vanyuwa [196]

Answer:

-2x-10

Step-by-step explanation:

just distribute the -2 :)

4 0

2 years ago

Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16

sweet-ann [11.9K]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

Given:

$2log(\frac{2}{3})=\frac{1}{2}log(x)-log(18)+log(16)$

Use the Power Rule Law:

$log(\frac{2}{3}^2)=log(x^{1/2})+log(16)-log(18)$

Use the Quotient Rule Law:

$log(\frac{4}{9})=log(\sqrt{x})+log(\frac{16}{18})$

Use the Product Rule Law:

$log(\frac{4}{9})=log(\frac{16\sqrt{x}}{18})$

Simplify:

$log(\frac{4}{9})=log(\frac{8\sqrt{x}}{9})$

$\frac{4}{9}=\frac{8\sqrt{x}}{9}$

$4=8\sqrt{x}$

$\frac{4}{8}=\sqrt{x}$

$\frac{1}{2}=\sqrt{x}$

$\frac{1}{4}=x$

5 0

2 years ago

Julie works for 48 hours per week for 12 weeks during the summer, making $5000. If she works for 48 weeks during the school year

spayn [35]

She would need to work 12 hours per week.

7 0

3 years ago

A new phone system was installed last year to help reduce the expense of personal calls that were being made by employees. Befor

Leya [2.2K]

Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 700, \sigma = 50$ .

The probability of a month having a PCE between $575 and $790 is the p-value of Z when X = 790 subtracted by the p-value of Z when X = 575, hence:

X = 790:

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

$Z = \frac{790 - 700}{50}$

Z = 1.8

Z = 1.8 has a p-value of 0.9641.

X = 575:

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

$Z = \frac{575 - 700}{50}$

Z = -2.5

Z = -2.5 has a p-value of 0.0062.

0.9641 - 0.0062 = 0.9579.

0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0

1 year ago

One night a theater sold 186 movie tickets. an adults ticket cost $14, and a childs costs $10. in all, $2148 was taken in. How m

inna [77]

Answer:

72 adult tickets were sold and 114 child tickets were sold.

Step-by-step explanation:

x+y=186, 14x=10y=2148

x=186-y

14(186-y)+10y=2148

2604-14y+10y=2148

2604-4y=2148

-4y=-456

y=144

x=186-144 : x=72

3 0

3 years ago