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3 years ago

Help pls ASAP multiple choice

Mathematics

2 answers:

Tamiku [17]3 years ago

8 0

4 + (14 - 2) = 4 + 14 - 2

A. 4 - (-14 - 2) = 4 + 14 + 2 ------------------------WRONG

B. (4 - 14 ) - 2 = 4 - 14 - 2 --------------------------WRONG

C. 4 - (-14) - (2) = 4 + 14 - 2 ------------------------RIGHT

D. 4 + 14 + (-2) = 4 + 14 - 2 ------------------------RIGHT

E. - (-4 - 14) - 2 = 4 + 14 - 2 ------------------------RIGHT

Answer: C, D and E.

Anastaziya [24]3 years ago

8 0

4 + (14 - 12) = 4 + (12) = 16

A. 4 - (-14 - 2) = 4 - (-16) = 20. Not equivalent.

B. (4 - 14) - 2 = (-10) - 2 = -12. Not equivalent.

C. 4 - (-14) - (2) = 18 - 2 = 16. Equivalent.

D. 4 + 14 + (-2) = 18 + (-2) = 16. Equivalent.

E. - (-4 - 14) - 2 = - (-18) - 2 = 18 - 2 = 16. Equivalent.

Choices C, D, and E are all equivalent to the expression 4 + (14 - 2).

:))

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The number of nails of a given length is normally distributed with a mean length of 5 in and a standard deviation of 0.03 find t

umka2103 [35]

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19 nails

Step-by-step explanation:

Let's first determine the z-score by using the formula:

$z=\frac{x-\mu}{\sigma}$

Where x=5.03, μ=5, σ=0.03 and so:

$z=\frac{5.03-5}{0.03}=1$

We can now use a z-score table to determine that 1.00 is synonymous with 0.8413 meaning 84.13%. This means that 84.13% of the nails are less than or equal to 5.03 inches long. Therefore, since we know 100% = 1 in decimals we can determine that the length greater than 5.03 inches is 1-0.8413=0.1587. This means that 15.87% of the 120 nails are greater than 5.03 inches long.

Finally, we can determine how many nails are greater than 5.03 by determining what is 15.87% of 120 which is:

$120 \times 0.1587 \approx 19$

And so 19 out of the 120 nails are greater than 5.03 inches long.

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3 years ago