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2 years ago

761.8 x 10^-8 Express the number in scientific notation. A) 7.618 x 10^-6 B) 7.618 x 10^-8 C) 7.618 x 10^2 D) 7.618 x 10^6

Mathematics

1 answer:

ludmilkaskok [199]2 years ago

4 0

Answer:

$\huge\boxed{A)\ 7.618\times10^{-6}}$

Step-by-step explanation:

The scientific notation:

$a\cdot10^n$

where

$1\leq a$

We have

$761.8\times10^{-8}$

We need to move the decimal point two places to the left.

$\underbrace{(7.618\times10^2)}_{=761.8}\times10^{-8}=7.618\times(10^2\times10^{-8})$

use

$a^n\cdot a^m=a^{n+m}$

$=7.618\times10^{2+(-8)}=7.618\times10^{-6}$

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Answer:

t-distribution should be used to construct a confidence interval.

Step-by-step explanation:

We are given that a random sample of 18 families, the average weekly food expense was $95.60 with a sample standard deviation of $22.50.

We have to determine whether a normal distribution (Z values) or a t- distribution should be used or whether neither of these can be used to construct a confidence interval.

Since in this question we are provided with;

Sample average weekly food expense, $\bar X$ = $95.60

Sample standard deviation, s = $22.50

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The distribution that we will use here to construct a confidence interval will be t-distribution because in the question we don't know anything about population standard deviation $(\sigma)$ .

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3 years ago

Jeremy is packaging a stew containers.There are 8 3/4 cups of stew that need to put into 5 to go containers equally.How many cup

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Answer:

1 3/4 cups

Step-by-step explanation:

In order to be able to equally divide the stew into 5 containers we need to turn everything into the same format, in this case it would be by multiplying the whole number and the denominator and then adding the numerator like so

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The factorization of the expression 36x⁴y³ - 16x³y is 4x³y(9xy² - 4)

<h3>Factorization</h3>

Factorization or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorization of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.

To the factor, a number means to break it up into numbers that can be multiplied to get the original number.

In the given expression, 36x⁴y³ - 16x³y can be factorized as

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Which statement is true? Select all that apply.

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Answer:

A. The relationship is proportional.

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I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

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