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2 years ago

The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?

Mathematics

1 answer:

STatiana [176]2 years ago

4 0

Answer:

8 inches = 120 miles

Step-by-step explanation:

If 2 inches is equivalent to 30 miles, then divide 120 by 30 then times the answer by two.

120 / 30 = 4

4 x 2 = 8

8 inches = 120 miles

To check;

30 x 4 = 120

8 / 2 = 4

Hope this helps!!!

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Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well

laiz [17]

Answer:

The value is $P(A) = 0.133617$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 7.5$

The standard deviation is $\sigma = 0.2$

The safest water level is between 7.2 and 7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

$P(A) = 1 - P(7.2 \le X \le 7.8 )$

Here

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma }$

Generally $\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )$

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z$

$P(7.2 < X < 7.8 ) = P(-1.5 < Z$

=> $P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5)$

From the z-table the probability of (Z < -1.5) and ( Z <1.5) are

$P(Z < 1.5) = 0.93319$

and

$P(Z < -1.5) = 0.066807$

$P(7.2 < X < 7.8 ) =0.93319 - 0.066807$

$P(7.2 < X < 7.8 ) =0.0866383$

$P(A) = 1 - 0.0866383$

=> $P(A) = 0.133617$

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2 years ago

Hari borrowed Rs. 126000 from a money-lender at 15% per annum simple interest,

amid [387]

Answer:

Rs. 112000

Step-by-step explanation:

Borrowed money = Rs. 126000
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Time = 3 years

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He pays Rs. 70700, remaining money is cleared by giving buffalo.

Cost of buffalo:

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Answer is: Rs. 112000

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2 years ago

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Diano4ka-milaya [45]

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Ira Lisetskai [31]

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All survey respondents

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D. All customers of this restaurant

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2 years ago

The table shows the blood pressures of 16 clinic patients. What is the interquartile range of the data?

Alex73 [517]

I’ve attached my work below....
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1 year ago