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Sloan [31]
4 years ago
6

Max makes a scale drawing of distance between Salt Lake City and Arizona. The distance between Salt Lake City and Arizona is 24.

8 cm. If each 7 cm on the scale drawing equals 250 miles, how far are the Salt Lake City and Arizona?
A) 24.8/7 =250/x; x = 70.56 mi

B) 7/250 = x/24.8; x = 0.69 mi

C) 250/25 = x/7; x = 70 mi

D) 7/250 = 24.8/x; 885.71
Mathematics
1 answer:
NeTakaya4 years ago
5 0

Answer:

Option D. 7/250 = 24.8/x; 885.71

Step-by-step explanation:

we know that

Using proportion

\frac{7}{250} \frac{cm}{mi}=\frac{24.8}{x} \frac{cm}{mi}\\ \\x=250*24.8/7\\ \\x=885.71\ miles

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The population of weights of a particular fruit is normally distributed, with a mean of 464 grams and a standard deviation of 6
igomit [66]

Answer:

If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

Step-by-step explanation:

Mean = \mu = 464

Standard deviation =\sigma = 6

We are supposed to find If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams i.e.P(X>x)=0.02

The mean weight is in the highest 2%, you want to go to a z-table and find the z-score that where the area to the left of the curve is closest to 0.98.

n = 27

Refer the z -table

P(Z>x)=2.06

\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}=2.06\\\frac{x-464}{\frac{6}{\sqrt{27}}}=2.06\\x-464=2.06 \times \frac{6}{\sqrt{27}}\\x=(2.06 \times \frac{6}{\sqrt{27}})+464\\x=466.37

So, If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

7 0
3 years ago
I need help I’m in math class! Help please
AVprozaik [17]

Answer:

1350π cm^3 should be your answer

Step-by-step explanation:

15 x 15 x π = 225π

225π x 6 = 1350π

7 0
3 years ago
Charles has read 180 pages of a book this is 3/4 of the total number of pages in the book If P represents the number of pages in
KengaRu [80]
The answer is 240 :3

60+60= 120
120+60 = 180 
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60 fours would be 240
3  60's  would be 180.  So your answer is 240
4 0
4 years ago
Read 2 more answers
What is 4/7x + 5/14x = 39 ?
Sladkaya [172]

Answer:

yes

Step-by-step explanation:

if you break it down on paper ( which btw i get why you didnt want to do it) you get 39

5 0
3 years ago
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If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?​
Ber [7]

Answer:

x=8

Step-by-step explanation:

(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)

(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1

4x²+2x+2x+1 = 5x²-4x+1

4x²+4x+1 = 5x²-4x+1

0= 5x²-4x²-4x-4x+1-1

0= x²-8x

x²-8x=0

x²=8x

x=8

3 0
3 years ago
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