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3 years ago

Simplify the following expression 4^-11/3÷4^-2/3A.1/12B.1/64C.12D.64

Mathematics

1 answer:

Goryan [66]3 years ago

7 0

Question:

Simplify the following expression:

$4^{-\frac{11}{3}$ ÷ $4^{-\frac{2}{3} }$

A.1/12

B. 1/64

C.12

D.64

Answer:

B. 1/64

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Irina18 [472]

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4 years ago

4. If A ABC = ADEF, mZ A = 50°, and mZE= 30°, what is m 2 C?

zimovet [89]

Answer:

100

Step-by-step explanation:

50+30=80

180-80=100

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3 years ago

Joan is 5 years older than Ellen, and 3 years ago their sum of their ages is 17, in how many years will Joan be 21?

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2 years ago

The heights of American men have an approximately bell-shaped distribution with a mean of 70 inches (5' 10") and standard deviat

Katyanochek1 [597]

Answer:

0.9973 is the percentage of American men whose height is between 61 and 79 inches.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70 inches

Standard Deviation, σ = 3 inches

We are given that the distribution of heights of American men is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(height is between 61 and 79 inches)

$P(61 \leq x \leq 79) = P(\displaystyle\frac{61 - 70}{3} \leq z \leq \displaystyle\frac{79-70}{3}) = P(-3 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -3)\\= 0.9987 - 0.0014 = 0.9973= 99.73\%$

$P(61 \leq x \leq 79) = 99.73\%$

0.9973 is the percentage of American men whose height is between 61 and 79 inches.

4 0

3 years ago

Need help with this number 3 and 4 all go together

vredina [299]

Solution:

Given:

$\begin{gathered} m\angle3=65^0 \\ m\angle11=100^0 \end{gathered}$ $\begin{gathered} m\angle2+m\angle3=180^0.............the\text{ sum of angles on a straight line} \\ m\angle2+65^0=180^0 \\ m\angle2=180-65 \\ m\angle2=115^0 \end{gathered}$

Therefore, the measure of angle 2 is 115 degrees.

$\begin{gathered} m\angle5=m\angle11.........................(alternate\text{ exterior angles are congruent\rparen} \\ m\angle5=100^0 \end{gathered}$

Therefore, the measure of angle 5 is 100 degrees.

$\begin{gathered} m\angle13=m\angle3.........................(alternate\text{ interior angles are congruent\rparen} \\ m\angle13=65^0 \end{gathered}$

Therefore, the measure of angle 13 is 65 degrees.

6 0

1 year ago

Simplify the following expression 4^-11/3÷4^-2/3A.1/12B.1/64C.12D.64​

Simplify the following expression 4^-11/3÷4^-2/3A.1/12B.1/64C.12D.64