Mathematics, 23.11.2019 04:31 jahnoibenjamin

Afair four-sided die with four equilateral triangle-shaped faces is tossed 200 times. each of the die’s four faces shows a diferent number from 1 to 4.
a. find the expected value of the sample mean of the values obtained in these 200 tosses.
b. find the standard deviation of the number obtained in 1 toss.
c. find the standard deviation of the sample mean obtained in these 200 tosses.
d. find an approximate probability that the sample mean of the 200 numbers obtained is smaller than 2.7.

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Answer from: Quest

answer: 5

step-by-step explanation:

Answer from: Quest

Hello!

the answer is:

$\frac{3^{4} }{3^{1}}=3^{3}$

why?

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

$\frac{a^{m} }{a^{n} }=a^{m-n}$

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

$\frac{3^{4} }{3^{1}}$

then, calculating we have:

$\frac{3^{4} }{3^{1}}=3^{4-1}=3^{3}$

hence, the answer is:

$\frac{3^{4} }{3^{1}}=3^{3}$

have a nice day!

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

Answer from: Quest

it is a secret for it not to be compromised sorry

step-by-step explanation:

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Afair four-sided die with four equilateral triangle-shaped faces is tossed 200 times. each of the di...