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3 years ago

What property is shown? 8 ( 15) = ( 15) ( 8)

1 answer:

7 0

The commutative property of multiplication states: ab = ba

8(15) = (15)(8) is an example of the a. commutative property.

Your answer is a. commutative property.

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What is the equation 2/3a - 1/6= 1/3

Rashid [163]

Answer:

$a=\frac{3}{4}$

Step-by-step explanation:

I can't do the step-by-step explanation because my device is currently dying, But I am sure that $a=\frac{3}{4}$ is the correct answer.

5 0

3 years ago

Read 2 more answers

The Highway Safety Department wants to study the driving habits of individuals. A sample of 41 cars traveling on the highway rev

PolarNik [594]

Answer:

58,21 ≤ μ ≤ 61,79

Step-by-step explanation:

Normal Distribution

Poputation size n = 41

Population mean X = 60

Population standard deviation σ = 7

Question is: Confidence Interval 90 % ??

As Confidence Interval is 90 % then α = 10 %

And as we are dealing with a two tail test

α/2 = 0,05

We look in Z table for values for α/2 = 0,05 and find

z(α/2) = - 1,64 and z(α/2) = 1,64

Then

Confidence Interval is

X - Zα/2 * σ/√n ≤ μ ≤ X + Zα/2 * σ/√n

60 - ( 1,64 ) * 7/√41 ≤ μ ≤ 60 + ( 1,64 ) * 7/√41

60 - 1,64 * 1,09375 ≤ μ ≤ 60 + 1,64 * 1,09375

60 - 1,79375 ≤ μ ≤ 60 + 1,79375

58,21 ≤ μ ≤ 61,79

4 0

4 years ago

Which expressions are equivalent to \dfrac{2^5}{6^5}

DerKrebs [107]

We have been given an expression $\frac{2^5}{6^5}$ . We are asked to choose the expressions, which are equivalent to our given expression.

Using exponent property $\frac{1}{a^n}=a^{-n}$ , we can rewrite our given expression as:

$\frac{2^5}{6^5}=2^5\cdot 6^{-5}$

Upon looking at our given choices, we can see that option D is the correct choice.

Let us simplify our given expression.

$\frac{2^5}{6^5}=\frac{2^5}{(2\cdot 3)^5}$

$\frac{2^5}{6^5}=\frac{2^5}{2^5\cdot 3^5}$

Upon cancelling out $2^5$ from numerator and denominator, we will get:

$\frac{2^5}{6^5}=\frac{1}{3^5}$

Using exponent property $\frac{1}{a^n}=a^{-n}$ , we will get:

$\frac{1}{3^5}=3^{-5}$

Therefore, option B is a correct choice as well.

3 0

4 years ago

Read 2 more answers

Adebook

loris [4]

Answer:

frnddcchdddssjegtgeeusiss ehejsbdvbsjwjgebee e e e e r ytjrbehww

7 0

3 years ago

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Please help! Find the equation of the line and I will mark as brainliest IF answer is right. <3

Hoochie [10]

<h3>Answer: y = (3/4)x + 13/4</h3>

This is the same as writing y = 0.75x + 3.25

slope is 3/4 = 0.75

y intercept is 13/4 = 3.25

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Explanation:

One marked point on this line is (-3,1)

Another point is at (1,4)

Let's find the slope of the line through these two points.

m = (y2-y1)/(x2-x1)

m = (4-1)/(1-(-3))

m = (4-1)/(1+3)

m = 3/4

m = 0.75

Now let's use point slope form to find the equation of the line

y - y1 = m(x - x1)

y - 1 = 0.75(x - (-3))

y - 1 = 0.75(x + 3)

y - 1 = 0.75x + 2.25

y = 0.75x + 2.25 + 1

y = 0.75x + 3.25

If you wanted, you can convert those decimal values to fraction form

0.75 = 75/100 = 3/4
3.25 = 325/100 = 13/4

That means the equation

y = 0.75x + 3.25

is the same as

y = (3/4)x + 13/4

4 0

3 years ago