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3 years ago

14

Evaluate the expression StartFraction 12 minus 3 y Over 2 EndFraction plus y StartFraction 2 y minus 4 Over y EndFraction for y

= 3.

2 answers:

e-lub [12.9K]3 years ago

8 0

Answer:

the answer is 3.5

Step-by-step explanation:

i took the test

vladimir1956 [14]3 years ago

3 0

Answer: $\frac{31}{6}$

Step-by-step explanation:

Given

$\Rightarrow \frac{12-3y}{2}+y\frac{2y-4}{y}$

$\Rightarrow \frac{12-3y}{2}+\frac{y^2+2y-4}{y}$

Now for $y=3$

$\Rightarrow \frac{12-3\times 3}{2}+\frac{3^2+2\times 3-4}{3}$

$\Rightarrow \frac{3}{2}+\frac{9+6-4}{3}$

$\Rightarrow \frac{3}{2}+\frac{11}{3}$

$\Rightarrow \frac{9+22}{6}=\frac{31}{6}$

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10x + (-8)= -3x + 2<br> How do I solve this in pemda order

larisa [96]

Answer:

x= 10/13

Step-by-step explanation:

First, we need to put the variable on one side and the constants on another side.

Also a positive and a negative equal a negative. [this is related to +(-8)]

10x+(-8)= -3x+2

+3x +3x

13x-8=2

+8 +8

13x=10

Finally you divide on both sides

13x/13=10/13

x= 10/13

I hope this is right! I tried my best

4 0

3 years ago

A researcher plans to conduct a significance test at the 0.01 significance level. She designs her study to have a power of 0.90

Rasek [7]

Answer: 0.10

Step-by-step explanation: The type 2 error is committed when the alternative hypothesis is rejected when it should have been accepted causing the researcher to accept the null hypothesis which is false.

Power is the probability of avoiding a type 2 error. That is ;

Power = 1 - P(type 2 error)

Given that power = 0.90 ; P(type 2 error) = probability of committing a type 2 error.

P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing or avoiding a type 2 error

0.90 = 1 - P(type 2 error)

P(type 2 error) = 1 - 0.90

P(type 2 error) = 0.10

6 0

3 years ago

A truck can travel 1200 miles on 80 gallons of gasoline. how far can it travel on 240 gallons of gasoline ? Show your work

pogonyaev

Answer:

3600 miles on 240 gal

Step-by-step explanation:

80 gal can go 1200

160 gal can go 2400

240 gal can go 3600

7 0

2 years ago

Read 2 more answers

The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 1000 voters in th

garri49 [273]

Answer:

$z=\frac{0.42 -0.39}{\sqrt{\frac{0.39(1-0.39)}{1000}}}=1.945$

$p_v =P(Z>1.945)=0.0259$

If we compare the p value obtained with the significance level given $\alpha=0.02$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 2% of significance the proportion of residents who favored annexation is not significantly higher than 0.39.

Step-by-step explanation:

1) Data given and notation

n=1000 represent the random sample taken

$\hat p=0.42$ estimated proportion of residents who favored annexation

$p_o=0.39$ is the value that we want to test

$\alpha=0.02$ represent the significance level

Confidence=98% or 0.98

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion is higher than 0.39:

Null hypothesis: $p\leq 0.39$

Alternative hypothesis: $p > 0.39$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.42 -0.39}{\sqrt{\frac{0.39(1-0.39)}{1000}}}=1.945$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.02$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(Z>1.945)=0.0259$

If we compare the p value obtained with the significance level given $\alpha=0.02$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 2% of significance the proportion of residents who favored annexation is not significantly higher than 0.39.

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3 years ago

Why do I keep struggling in geometry. I'm in 10th grade I shouldn't be struggling but anyway my teacher let me retake a quiz/ te

skad [1K]

Step-by-step explanation:

I don't know what you need to do. Have you studied the quiz or more specific have you studied the questions that you have problems with? Also make sure you have enough sleep and have healthy food. You don't have to do read what I say(type) but it could help you.

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3 years ago

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