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3 years ago

Please answer this question step by step!

Mathematics

1 answer:

Annette [7]3 years ago

5 0

Answer:

$x = \frac{3}{2}$

Step-by-step explanation:

first distribute

$\frac{36x - 9}{2x} = 15$

next multiply both sides by 2x

$36x - 9 = 15(2x) \\ 36x - 9 = 30x$

simplify

$- 9 = - 6x$

divide both sides by -6

$\frac{ - 9}{ - 6} = x \\ \frac{3}{2} = x$

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Subtract. –7 – 12<br> a. –19<br> b. –5<br> c. 5<br> d. 19

den301095 [7]

-7 - 12 = -1(7 + 12) = -1(19) = -19

Your answer is A.

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3 years ago

Find the length of side X

NISA [10]

Answer:

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the 2 other sides, that is

x² + 6² = 17²

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x² = 253 ( take the square root of both sides )

x = $\sqrt{253}$ → C

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3 years ago

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3 years ago

How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 95% confidence that

zimovet [89]

Answer:

61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

Step-by-step explanation:

Given : We want 95% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 12 minutes.

To find : How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?

Solution :

At 95% confidence the z-value is z=1.96

The sample mean is within 3 minutes of the population mean i.e. margin of error is E=3 minutes

The population standard deviation is s=12 minutes

n is the number of sample

The formula of margin of error is given by,

$E=\frac{s\times z}{\sqrt{n}}$

Substitute the value in the formula,

$3=\frac{12\times 1.96}{\sqrt{n}}$

$3=\frac{23.52}{\sqrt{n}}$

$\sqrt{n}=\frac{23.52}{3}$

$\sqrt{n}=7.84$

Squaring both side,

$n=61.4656$

Therefore, 61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

6 0

3 years ago

Read 2 more answers

1.The sum of three numbers is twenty. The second number is four times the first and the sum of the first and third is eight. Wha

lesya692 [45]

Answer:

Step-by-step explanation:

4x=12

x=12/4

x=3 answer

y=4*3=12 answer.

z=8-3=5 answer.

proof

3+12+5=20

20=20

5 0

3 years ago

Read 2 more answers