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3 years ago

Name the property the equation illustrates.

Mathematics

2 answers:

Lynna [10]3 years ago

8 0

<span>Multiplication Property of –1</span>

garri49 [273]3 years ago

8 0

Solution: The correct option is option first, i.e., $-2.1\cdot 1=-2.1$ by the Identity Property of Multiplication.

Explanation:

The correct option is first option : Identity Property of Multiplication.

Reason for correct option:

According to the identity property of multiplication, the product of a number and the identity element is equal to that number. The identity element for multiplication is 1.

Let x be any real number, then by identity property of multiplication $x\cdot1=x$ .

Therefore, $-2.1\cdot 1=-2.1$ by the Identity Property of Multiplication.

Reason for incorrect option:

According to the inverse property of multiplication, the product of number and inverse is equal to 1. In the given equation the result is not 1.

In the given equation the number is multiplied by 1 instead of -1. So, multiplication property of -1 is not the correct answer.

In the given equation multiplication property is used and there is no need of any addition property.

Hence, only first option is correct and $-2.1\cdot 1=-2.1$ by the Identity Property of Multiplication.

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Scores on an english test are normally distributed with a mean of 31.5 and a standard deviation of 7.3. find the score that sepa

kobusy [5.1K]

Let X be the score on an english test which is normally distributed with mean of 31.5 and standard deviation of 7.3

μ = 31.5 and σ =7.3

Here we have to find score that separates the top 59% from the bottom 41%

So basically we have to find here x value such that area above it is 59% and below it is 49%

This is same as finding z score such that probability below z score is 0.49 and above probability is 0.59

P(Z < z) = 0.49

Using excel function to find the z score for probability 0.49 we get

z = NORM.S.INV(0.49)

z = -0.025

It means for z score -0.025 area below it is 41% and above it is 59%

Now we will convert this z score into x value using given mean and standard deviation

x = (z* standard deviation) + mean

x = (-0.025 * 7.3) + 31.5

x = 31.6825 ~ 31.68

The score that separates the top 59% from the bottom 41% is 31.68

3 0

3 years ago

sally's paycheck was $1400. she used that to pay $770 rent. what percent of the check did she use for rent?

Katena32 [7]

She used 55% of her paycheck.

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3 years ago

Read 2 more answers

Which expression is equivalent to...? Screenshots attached. Please help! Thank you.

Studentka2010 [4]

Answer:

$4x^{3} y^{2} (\sqrt[3]{4 x y})$

Step-by-step explanation:

Another complex expression, let's simplify it step by step...

We'll start by re-writing 256 as 4^4

$\sqrt[3]{256 x^{10} y^{7} } = \sqrt[3]{4^{4} x^{10} y^{7} }$

Then we'll extract the 4 from the cubic root. We will then subtract 3 from the exponent (4) to get to a simple 4 inside, and a 4 outside.

$\sqrt[3]{4^{4} x^{10} y^{7} } = 4 \sqrt[3]{4 x^{10} y^{7} }$

Now, we have x^10, so if we divide the exponent by the root factor, we get 10/3 = 3 1/3, which means we will extract x^9 that will become x^3 outside and x will remain inside.

$4 \sqrt[3]{4 x^{10} y^{7} } = 4x^{3} \sqrt[3]{4 x y^{7} }$