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Tatiana [17]
3 years ago
14

Is X=10 a solution to the following equation? Show work to justify your answer.

Mathematics
1 answer:
DENIUS [597]3 years ago
5 0

Answer:

x= 7.5

(that should be the answer)

Step-by-step explanation:

-7x+50 = x-10

10+50 = x+7x

60= 8x

60/8 = x

7.5= x

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35.6 miles per gallon.

I'm not sure but good luck :)

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2 years ago
The Highway Safety Department wants to study the driving habits of individuals. A sample of 40 cars traveling on a particular st
Ipatiy [6.2K]

Answer:

We need a sample size of at least 101

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What sample size is needed to estimate the true average speed to within 2 mph at 99% confidence?

We need a sample of at least n.

n is found when M = 2. So

M = z*\frac{\sigma}{\sqrt{n}}

2 = 2.575*\frac{7.8}{\sqrt{n}}

2\sqrt{n} = 2.575*7.8

\sqrt{n} = \frac{2.575*7.8}{2}

(\sqrt{n})^{2} = (\frac{2.575*7.8}{2})^{2}

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Rounding up

We need a sample size of at least 101

8 0
3 years ago
Read 2 more answers
Someone help me please ​
nirvana33 [79]

Answer:

426.9km^{2}

Step-by-step explanation:

Area of the shaded region→

A=\frac{1}{2}*40*27-\pi *6^{2}

→ 540-113.04

→426.9

---------

hope it helps..

have a great day!!!

8 0
2 years ago
Mr. Smith wants to order some pizza and cheese pizza cost $11 and pepperoni pizza cost $12.50 if you bought 13 pieces total and
Triss [41]

Answer: Mr Smith bought 7 pepperoni pizza

Step-by-step explanation:

Step 1

cost of cheese pizza  =$11

pepperoni pizza cost =$12.50

let number cheese pizza be represented as c

and number of pepperoni pizza be represented as p

such that the total number of pizza  bought which equals 13 can be represented as

c+ p= 13

and total cost of both pizza  can be expressed as

11c+ 12.50p =153.50

Step 2 Solving

 c+ p= 13

11c+ 12.50p =153.50

By elimination method, Multiply equation 1 by 11 and subtract the new equation from equation 2

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c+ p= 13

c= 13-p =13-7=6

Therefore Mr Smith bought 6 cheese pizza and 7 pepperoni pizza

6 0
2 years ago
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