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3 years ago

Name the number property illustrated by thisequation:-2(–3 + 7) = -2(-3) + (-2)(7)

Mathematics

2 answers:

erica [24]3 years ago

5 0

Answer:

The distributive property of multiplication

Step-by-step explanation:

<u>explanation</u>:-

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first can be distributed to both of those numbers and multiplied by each of them separately,then adding the two products together for the same result as multiplying the first number by sum.

a(b+c) = a.b + a.c

so -2 ( -3+7) = -2(-3) + (-2)(7)

-8 = 6 -14

-8 = - 8

give data we will use distributive property of multiplication

Andreas93 [3]3 years ago

5 0

Answer:

distributive property of multiplication

Step-by-step explanation:

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A software engineer is creating a new computer software program. She wants to make sure that the crash rate is extremely low so

Soloha48 [4]

Answer:

a) the sample size is 400

b) 95% confidence Interval for p is ( 0.0286, 0.0714 )

Step-by-step explanation:

Given the data in the question;

sample size n = 400

x = 20

p = x / n = 20 / 400 = 0.05

q = 1 - p = 1 - 0.05 = 0.95

n = 400

Hence, the sample size is 400

b) 95% confidence Interval for p;

At 95% confidence interval,

significance level ∝ = 1 - 95% = 1 - 0.95 = 0.05

∝/2 = 0.05 / 2 = 0.025

so, Z critical Value ; $Z_{\alpha /2$ = 1.96 { from table }

So for Confidence Interval for p;

⇒ p' ± $Z_{\alpha /2$ √( p'q' / n )

we substitute

⇒ 0.05 ± 1.96√( (0.05 × 0.95 ) / 400 )

⇒ 0.05 ± 1.96√( 0.00011875 )

⇒ 0.05 ± 1.96 × 0.010897

⇒ 0.05 ± 0.021358

⇒ ( 0.05 - 0.021358 ), ( 0.05 + 0.021358 )

⇒ ( 0.0286, 0.0714 )

Therefore, 95% confidence Interval for p is ( 0.0286, 0.0714 )

8 0

2 years ago

Ms. Merry spent a total of $33.42 to buy 6 books. Each book was the same price. Which expression should be used to estimate the

AleksandrR [38]

Answer:

33.42 divided by 6?

Step-by-step explanation:

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2 years ago

Pete and his friend Danny volunteered to bring sandwiches for lunch at a homeless shelter. They bought 7 loaves of bread. Each l

Gnesinka [82]

Answer:

63 sandwiches

Step-by-step explanation:

Pete and his friend Danny volunteered to bring sandwiches for lunch at a homeless shelter

They brought 7 loaves of bread

Each loaves have 18 slices

They used 2 slices each to make the sandwich

The first step is to calculate the total number of slices

Sinces 7 loaves of bread are used and each of them contain 18 slices then, the total number of slices can be calculated as follows

= 7 ×18

= 126 slices

Therefore since 2 slices of bread is used to make one sandwich then, the number of sandwiches that was made can be calculated as follows

= 126/2

= 63

Hence 63 sandwiches were made for the shelter

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3 years ago

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Ksenya-84 [330]

Answer:

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Step-by-step explanation:

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2 years ago

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Solve the following system of equations: −2x + y = 1 −4x + y = −1

Katyanochek1 [597]

Answer:

Step-by-step explanation:

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2 years ago

Name the number property illustrated by thisequation:-2(–3 + 7) = -2(-3) + (-2)(7)​

Name the number property illustrated by thisequation:-2(–3 + 7) = -2(-3) + (-2)(7)