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3 years ago

13

How to write a equation to describe the situation

1 answer:

Murrr4er [49]3 years ago

7 0

6x + 3x = 36
6x+ 3x = 9x
9x = 36

X= 4

$6 for each shirt
4 shirts for $24

$3 for each shirt
4 shirts for $12

24+ 12 = 36

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Determine whether each statement is possible or not:<br><img src="https://tex.z-dn.net/?f=%20%5Ccos%28%20%5Ctheta%29%20%3D%201.0

Y_Kistochka [10]

Cos can not be greater than 1 therefore it’s not possible

5 0

4 years ago

The GRE is widely used to help predict the performance of applicants to graduate schools. The range of possible scores on a GRE

Lynna [10]

Answer:

a) 26.76% probability that a student in the psychology department has a score less than 480.

b) 69.73% probability that a student in the psychology department has a score between 480 and 730.

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 haev that:

$\mu = 544, \sigma = 103$

a. Find the probability that a student in the psychology department has a score less than 480.

This is the pvalue of Z when X = 480. So

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

$Z = \frac{480 - 544}{103}$

$Z = -0.62$

$Z = -0.62$ has a pvalue of 0.2676.

26.76% probability that a student in the psychology department has a score less than 480.

b. Find the probability that a student in the psychology department has a score between 480 and 730.

This probability is the pvalue of Z when X = 730 subtracted by the pvalue of Z when X = 480.

X = 730

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

$Z = \frac{730 - 544}{103}$

$Z = 1.81$

$Z = 1.81$ has a pvalue of 0.9649.

X = 480

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

$Z = \frac{480 - 544}{103}$

$Z = -0.62$

$Z = -0.62$ has a pvalue of 0.2676.

0.9649 - 0.2676 = 0.6973

69.73% probability that a student in the psychology department has a score between 480 and 730.

8 0

3 years ago

Divide 8x⁵+12x⁴-6x² by 2x²

Arturiano [62]

Answer:

4x³ + 6x² - 3

Step-by-step explanation:

Divide each term on the numerator by 2x²

$\frac{8x^{5} }{2x^2}$ + $\frac{12x^{4} }{2x^2}$ - $\frac{6x^2}{2x^2}$

= 4x³ + 6x² - 3

8 0

3 years ago

Write the formulae of area and volume of different solid shapes. Find out the variables and constants in them.

kap26 [50]

Answer:

Step-by-step explanation:

1 . Sphere :

$Surface \ Area = 4\pi r^2\\\\ Volume = \frac{4}{3} \pi r^3$

Variable is ' r '

Others Constants.

2. Cone :

$Surface \ Area = \p r^2 + \pi rs$ $[ \ s = \sqrt { r^2 + h^2 } \ , r = base \ radius, h = height \ ]$

$Volume = \frac{1}{3} \pi r^2 h$

Variables are ' r ' and ' h '

Others constants.

3. Cuboid ( Rectangular Prism )

$Surface \ Area = 2 ((l\times b) + ( b \times h) + ( l \times h)) \\\\Volume = l \times \ b \times \ h$

Variables : l , b , h

Constant is 2

4. Cylinder

$Surface \ Area = 2 \pi r h + 2 \pi r^2 \\\\Volume = \pi r^2 h$

Variables : ' r ' and ' h '

Others constants..

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Two friends are opening a coffee shop. As they write their business plan, they research the amount of debt similar businesses ca

Tom [10]

The answer is 50,036

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4 years ago

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