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3 years ago

Find the value of |-4| - 5 · 2(-1 + 3).

Mathematics

2 answers:

vredina [299]3 years ago

6 0

Use PEMDAS

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

and |a| = a for a ≥ 0 or |a| = -a for a < 0.

|-4| - 5 · 2(-1 + 3) =-(-4) - 5 · 2(2) = 4 - 10(2) = 4 - 20 = -16

kirill [66]3 years ago

5 0

Answer:

sorry if im late but the answer is -16

Step-by-step explanation:

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Vicci designed a square tile in art class. Each corner of the square tile has a measure of 90 degrees. 30° Which equation could

miv72 [106K]

X=90 degrees you can get the answer by adding up all the angles

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3 years ago

An orange has 20 fewer calories

Andreyy89

Answer:

90 calories in a banana.

Step-by-step explanation:

O = B - 20 where O is the number calories in an orange and B is a that in banana.

Also 7B = 9O

From the above O = 7B / 9 so substituting in the first equation:

7B / 9 = B - 20

7B = 9B - 180

2B = 180

B = 90.

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3 years ago

Let n1equals50, Upper X 1equals30, n2equals50, and Upper X 2equals10. Complete parts (a) and (b) below. a. At the 0.05 leve

Viefleur [7K]

Answer:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

$z=\frac{0.6-0.2}{\sqrt{0.4(1-0.4)(\frac{1}{50}+\frac{1}{50})}}=4.082$

$p_v =2*P(Z>4.082)=4.46x10^{-5}$

So the p value is a very low value and using any significance level for example $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion 1 is significantly different from proportion 2.

Step-by-step explanation:

1) Data given and notation

$X_{1}=30$ represent the number of people with a characteristic in 1

$X_{2}=10$ represent the number of people with a characteristic in 2

$n_{1}=50$ sample of 1 selected

$n_{2}=50$ sample of 2 selected

$p_{1}=\frac{30}{50}=0.6$ represent the proportion of people with a characteristic in 1

$p_{2}=\frac{10}{50}=0.2$ represent the proportion of people with a characteristic in 2

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportion 1 is different from proportion 2 , the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{30+10}{50+50}=0.4$

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.6-0.2}{\sqrt{0.4(1-0.4)(\frac{1}{50}+\frac{1}{50})}}=4.082$

4) Statistical decision

For this case we don't have a significance level provided $\alpha$ , but we can calculate the p value for this test.

Since is a two sided test the p value would be:

$p_v =2*P(Z>4.082)=4.46x10^{-5}$

3 0

3 years ago

The table gives the probabilities that new cars of different models will have brake failure. The car model that is least likely

melamori03 [73]

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3 years ago

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MArishka [77]

Answer:

7y(3x+2)

you take out the 7y from both sides

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3 years ago