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2 years ago

7/16 + 3/16 = in the simplest form

Mathematics

1 answer:

Bess [88]2 years ago

3 0

Answer:

5/8 is the correct anwser in simplist form

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goblinko [34]

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Step-by-step explanation:

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3 years ago

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3a*12 can a variable be multiplied by a constant

Virty [35]

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2 years ago

Assume that women's heights are normally distributed with a mean given by mu equals 62.5 in,and a standard deviation given by

Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with

$\mu$ = 62.5 in

$\sigma$ = 2.2 in

the normal probability density function is given by

$f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}$ , then

(a) $P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx$ = 0.5899

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking $P(\bar{X} < 63)$ where n = 37. $\bar{X}$ is normally distributed with mean 62.5 in and standard deviation $2.2/\sqrt{37}$ . So, the probability density function is given by

$g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}$ , and

$P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx$ = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

4 0

3 years ago

Write each fraction as an expression with negative exponents.

Artemon [7]

The answer is w⁻²/v⁻².

v/w raised to the second power is (v/w)²

(v/w)² = v²/w²

Since xᵃ = 1/x⁻ᵃ, then v²/w² = 1/v⁻²w²

Since 1/xᵃ = x⁻ᵃ, then 1/v⁻²w² = w⁻²/v⁻²

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2 years ago

F/4 + 16 < 49<br> Solve the inequality

Mnenie [13.5K]

Answer:

$f$ < $132$