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2 years ago

Evaluate the expression

Mathematics

1 answer:

Lilit [14]2 years ago

7 0

Answer:

Multiply

2^3 by 2^4 by adding the exponents.

Use the power rule

a^m a^n=a^m+n

to combine exponents.

2^3+4

Add 3 and 4.

2^7

Raise 2 to the power of 7.

128

Step-by-step explanation:

Hope it is helpful....

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The mean and standard deviation of a normal distribution are 150 and 12 respectively. What percentage of values lie between:

Semenov [28]

Answer:

Step-by-step explanation:

Use a calculator with built-in statistical functions. The function applying here is normcdf(, the "cumulative density function."

(a) The percentage of values lying between 138 and 162 is

norm(138,162, 150, 12), which comes out to 0.683, or 68.3%.

(b) Find norm(126, 174, 150,12): 0.945, or 94.5%

(d) Find norm(162, 174,150,12): 0.136, or 13.6%

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2 years ago

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ki77a [65]

Answer: A. (-8,-3)

Step-by-step explanation:

Original formula is f(x)=|x-h|+k, the vertex is (h,k), so a positive h in the formula would turn out negative in the vertex.

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2 years ago

A middle school campus is shaped like a rectangle with a width of 1/4 mile and a length of 1/2 mile. A map of the campus has a w

igomit [66]

Answer:

A) 1:4

Step-by-step explanation:

#We first calculate the campus' area:

$a=lw\\\\=\frac{1}{4}\times \frac{1}{2}\\=0.125 \ mi^2$

#We then calculate the campus' map area in square ft:

$A=lw\\\\=0.5 \times 1\\\\=0.5 ft^2$

Ratio is a comparison between two dimensions:

$Ratio=\frac{0.125}{0.5}\\\\=0.25\\\\=\frac{1}{4}\\\\=1:4$

Hence, the ratio of the area in square miles of the campus to the area in square feet of the map is 1:4

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Answer:

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Step-by-step explanation:

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