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Xelga [282]
3 years ago
7

Which value of x is a solution of the inequality 12x-14<61

Mathematics
1 answer:
pochemuha3 years ago
4 0

An inequality is solved by more than one value - usually an interval, or a union of intervals.

In this case, we have:

12x-14

Add 14 to both sides:

12x

Divide both sides by 12:

x

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Marita drives a total of 1,456 miles during her vacation. She drives at an average speed of 52 miles per hour. For how many hour
Cerrena [4.2K]

Answer:

28 hours

Step-by-step explanation: you divide 1,456 by 52

52 goes into 145 2 times which is 104, then subtract 104 from 145 to get 41, next bring down the 6 from 1,456 to 41 to make it 416 which 52 goes into 8 perfectly. to make the answer 28

4 0
3 years ago
+ x = 12 – 2x<br> what is this?
AleksAgata [21]

Answer:

x= -6

Step-by-step explanation:

7 0
3 years ago
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Evaluate the expression when c=9 and d=8. 4c+d<br><br><br><br><br>please help ​
guapka [62]

Answer:

44

Step-by-step explanation

4c + d

this is an expression and since they provided c and d it is easy to solve

c = 9 and d = 8. You need to plug in c and d into the expression to solve the problem.  

4(9) + (8)

4 times 9 is 36 so it leaves you with 36 + 8

36 + 8 = 44

I hope this helps but basically the concept is just plugging in the numbers in place of the variables. For future problems plug in the numbers given where the variables are.

7 0
3 years ago
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c
siniylev [52]

Answer:

19 beers must be sampled.

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 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

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.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that \sigma = 0.26

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

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

0.1 = 1.645\frac{0.26}{\sqrt{n}}

0.1\sqrt{n} = 1.645*0.26

\sqrt{n} = \frac{1.645*0.26}{0.1}

(\sqrt{n})^2 = (\frac{1.645*0.26}{0.1})^2

n = 18.3

Rounding up:

19 beers must be sampled.

7 0
3 years ago
This is the question click it ​
IgorC [24]

Answer:

C.  

Step-by-step explanation:

5/8 = 20/32

20/32 ÷ 2 = 10/16

10/16 ÷ 2 = 5/8

8 0
3 years ago
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