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3 years ago

Solve and show your work please

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

7 0

Answer:

m = 21

Step-by-step explanation:

-5 = 2 - $\frac{m}{3}$

Multiply both sides of the equation by 3.

-15 = 6 - m

Swap sides so that all variable terms are on the left hand side.

6 - m = -15

Subtract 6 from both sides.

-m = -15 - 6

Subtract 6 from −15 to get −21.

-m = -21

Multiply both sides by −1.

m = 21

Hope this helps you out =D

cricket20 [7]3 years ago

6 0

17=m

whatever you do to one side you have to do to the other!

-5=2-m/3
times 3 on each side to get rid of the fraction
-15=2-m
subtract 2 on each side to make the -m stand on its own
-17=-m
times -1 to remove the negative from m
17=m

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A point is reflected across the x-axis. The new point is located at (4.75, -2.25) Where was the original point located.

sergejj [24]

Answer:

(4.75, 2.25)

Step-by-step explanation:

Given the coordinate (x,y). If this coordinate is reflected over the x axis, the resulting coordinate will be (x, -y)

Note that the y coordinate was negated.

Let the original point needed be (x, y)

If the new point is located at (4.75, -2.25)

Since the y coordinate was negated, then;

-y = -2.25

y = 2.25

x = 4,75 (x coordinate remains the same)

Hence the original point is (4.75, 2.25)

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3 years ago

6. A bank auditor claims that credit card balances are normally distributed, with a mean of $3570

sergejj [24]

Answer:

Probability that their mean credit card balance is less than $2500 is 0.0073.

Step-by-step explanation:

We are given that a bank auditor claims that credit card balances are normally distributed, with a mean of $3570 and a standard deviation of $980.

You randomly select 5 credit card holders.

Let $\bar X$ = sample mean credit card balance

The z score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean credit card balance = $3570

$\sigma$ = standard deviation = $980

n = sample of credit card holders = 5

Now, the probability that their mean credit card balance is less than $2500 is given by = P( $\bar X$  < $2500)

P( $\bar X$ < $2500) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{2500-3570}{\frac{980}{\sqrt{5} } }$ ) = P(Z < -2.44) = 1 - P(Z $\leq$ 2.44)

= 1 - 0.9927 = 0.0073

The above probability is calculated by looking at the value of x = 2.44 in the z table which has an area of 0.9927.

Therefore, probability that their mean credit card balance is less than $2500 is 0.0073.

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3 years ago

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gladu [14]

Answer:

you divide the top number by the bottom number

Step-by-step explanation:

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3 years ago

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kvasek [131]

Answer: 1/18

Step-by-step explanation:

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2 red

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