MATHEMATICS COLLEGE

Of (x - 12)(3x + 4)?

Answers

Answer 1

Answer:

3x^2 - 32x - 48

Step-by-step explanation:

3x^2-36x+4x-48

3x^2 - 32x -48

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Use the value of the linear correlation coefficient r to find the percentage of the total variation that can be explained by the linear relationship between the two variables. r = 0.234 (Your answer should be a percent rounded to two decimal places as needed.)
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If x - 10 = -15, then find the value of 5x - 30 *
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A deck of cards contains RED cards numbered 1,2,3, BLUE cards numbered 1,2,3,4,5,6, and GREEN cards numbered 1,2. If a single card is picked at random, what is the probability that the card is GREEN AND has an ODD number? Provide the final answer as a fraction.

Answers

Answer:

8/15 because its 8 odd numbers out of 15 numbers all together

Find the slope of the line that that passes through each pair of points (-7,5) (1,1)

Answers

Answer: $-(1)/(2)$

Step-by-step explanation:The line is diagonal to the left(\) , so the slope is negative.

$(rise)/(run)$

Rise one(up), Run two(left)

So the CORRECT answer is $-(1)/(2)$

There were 84 runners to start a race. In the first half of the race, 1/4 of them dropped out. In the second half of the race, 1/3 of the remaining runners dropped out. How many runners finished the race?

Answers

Answer:

1/3

.................

What'd the greatest common factor (GCF) for each pair of numbers. 25, 55 The GCE IS

Answers

Answer:

Step-by-step explanation:

5 l 25,55

l 5,11

A random sample of 150recent donations at a certainblood bank reveals that
45 were type A blood.Does this suggest that the
actual percentage of type A
donations is less than40%, the percentage of the
population having type A
blood? Carry out a testof the appropriate
hypotheses using a significance
level of0.01.

Answers

Answer:

Null hypothesis: $p\geq 0.4$

Alternative hypothesis: $p < 0.4$

$z=\frac{0.3 -0.4}{\sqrt{(0.4(1-0.4))/(150)}}=-2.5$

$p_v =2*P(Z<-2.5)=0.0124$

If we compare the p value obtained and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that the true proportion is not significantly lower than 0.4 or 40% at 1% of significance.

Step-by-step explanation:

1) Data given and notation

n=150 represent the random sample taken

X=45 represent the people with type A blood

$\hat p=(45)/(150)=0.3$ estimated proportion of people with type A blood

$p_o=0.4$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

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 true proportion of people type A blood is less than 0.4:

Null hypothesis: $p\geq 0.4$

Alternative hypothesis: $p < 0.4$

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

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

$z=\frac{0.3 -0.4}{\sqrt{(0.4(1-0.4))/(150)}}=-2.5$

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 $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(Z<-2.5)=0.0124$

There are 13 apples in a basket. 4 of these apples are green. The rest are red. what is the ratio?