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Veronika [31]
2 years ago
7

Please help me, please

Mathematics
2 answers:
LiRa [457]2 years ago
8 0
Answer: D: -2
explanation:
1. divide fractions inside brackets by multiplying by the reciprocal
1/4 • 4/7
= 4/28
2. multiply 4/28 by 7/5
= 28/140 which can be reduced to 1/5
3. multiply by -10
= 1/5 • -10
= -2
Svetlanka [38]2 years ago
5 0

Answer:

-2

Step-by-step explanation:

7/5(1/4 divide 7/4) (-10)

Multiply the reciprocal of that fraction

7/5x(1/4x4/7)x(-10)

four and four cancels out

7/5x1/7x(-10)

multiplying a positive and a negative equals a negative

-7/5x1/7x10

seven cancels out and u get

-1/5x10

divide 5 both sides and u get

-2

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In an agricultural study, the average amount of corn yield is normally distributed with a mean of 185.2 bushels of corn per acre
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Answer: B. 461 acres

Step-by-step explanation:

Given : In an agricultural study, the average amount of corn yield is normally distributed with a mean of 185.2 bushels of corn per acre, with a standard deviation of 23.5 bushels of corn.

i.e. \mu=185.2\ \ , \ \sigma=23.5

Let x denotes the amount of corn yield.

Now, the probability that the amount of corn yield is more than 190 bushels of corn per acre.

P(x>190)=P(\dfrac{x-\mu}{\sigma}>\dfrac{190-185.2}{23.5})

[Formula : z=\dfrac{x-\mu}{\sigma}]

=P(z>0.2043)=1-P(z  [∵ P(Z>z)=1-P(Z<z)]

1-0.5809405   [using z-value calculator or table]

=0.4190595

Now, If a study included 1100 acres then the expected number to yield more than 190 bushels of corn per acre :-

0.4190595\times1100=460.96545\approx461\text{ acres}

hence, the correct answer is B. 461 acres .

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