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2 years ago

What value makes the equation true? 2(x-5)=20

Mathematics

1 answer:

SashulF [63]2 years ago

6 0

2(x-5)=20

Divide both sides by 2 (division of property equality)

x - 5 = 10

Add 5 to both sides (addition of property equality)

x = 15

Answer

x = 15 is the solution

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What is the square root of pie times 9 Plus 44 X 60+89

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$\sqrt{9+44\cdot60+89}=\sqrt{98+2640}=\sqrt{2738}=\sqrt{2\cdot37\cdot37}=37\sqrt2$

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2 years ago

What is 359 ÷3 it has to be explained

ehidna [41]

Answer:

119.666

Step-by-step explanation:

3 goes into 359 119.666 times.

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2 years ago

0.24a + 0.5 = 4.5 What does the variable equal

GREYUIT [131]

Answer:

16.66

Step-by-step explanation:

1) eliminate constant first by performing the opposite operation:

0.24a+0.5-0.5=4.5-0.5

0.24a=4.0

divide both sides by 0.24

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2 years ago

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#2 Are the following triangles similar? Please help!!

gladu [14]

Answer:

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Because

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Also all angles are equal

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2 years ago

Read 2 more answers

A. Student GPAs: Bob’s z-score z = + 1.71 μ = 2.98 σ = 0.36 b. Weekly work hours: Sarah’s z-score z = + 1.18 μ = 21.6 σ = 7.1 c.

hjlf

Answer:

a) $x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

b) $x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

c) $x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.71, \mu = 2.98,\sigma = 0.36$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

Part b

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.18, \mu = 21.6,\sigma = 7.1$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

Part c

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = -1.35, \mu = 150,\sigma = 40$

If we solve for x from the z score formula we got:

$x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

5 0

2 years ago