Help me solve each question

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Answer 1

Answer:

Answer:

Step-by-step explanation:

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A survey in Men’s Health magazine reported that 39% of cardiologists said that they took vitamin E supplements. To see if this is still true, a researcher randomly selected 100 cardiologists and found that 36 said that they took vitamin E supplements. At α = 0.05, test the claim that 39% of the cardiologists took vitamin E supplements. A recent study said that taking too much vitamin e might be harmful how might this study make the results of the previous study invalid?

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Answer:

$z=\frac{0.36 -0.39}{\sqrt{(0.39(1-0.39))/(100)}}=-0.615$

The p value for this case would be:

$p_v =2*P(z<-0.615)=0.539$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39

Step-by-step explanation:

Information given

n=100 represent the random sample taken

X=36 represent the number of people that take E supplement

$\hat p=(36)/(100)=0.36$ estimated proportion of people who take R supplement

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

$\alpha=0.05$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true proportion is equatl to 0.39 or not, the system of hypothesis are.:

Null hypothesis: $p=0.39$

Alternative hypothesis: $p \neq 0.39$

The statistic is given by:

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

Replacing the info we got:

$z=\frac{0.36 -0.39}{\sqrt{(0.39(1-0.39))/(100)}}=-0.615$

The p value for this case would be:

$p_v =2*P(z<-0.615)=0.539$

Use elimination to solve for x and y:9x - 4y = 11
x + 4y = 19
Select one:
a. (7,3)
b. (4,3)
c. (-1,5)
d. (3,4)

Answers

Final answer:

The solution to the given equations using the elimination method is x=3 and y=4. Therefore, the answer pair is (3,4).

Explanation:

In order to solve this system of equations using elimination, you want to add or subtract the equations in a way that allows you to eliminate one of the variables. In this case, the y terms in the two equations are additive inverses (-4y and +4y). This means that if you add the equations together, the y variable will be eliminated.

So, let's add the two equations:
9x - 4y + x + 4y = 11 + 19
This simplifies down to 10x = 30, and when you divide both sides by 10, you get x = 3.

Next, substitute x = 3 into the second equation:
3 + 4y = 19
Solve for y by subtracting 3 from both sides and then dividing by 4. You'll find that y = 4. So the solution to the system of equations is (3,4).

Learn more about System of Equations here:

brainly.com/question/21620502

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5⋅7⋅4=5⋅4⋅7is that
associative property of multiplication or is it
commutative property of multiplication

Answers

Answer:

Commutative property of multiplication is shown above. This is because no matter how you put them, the answer will still be 140

HOPE THIS HELPS TOUCH THANK FOR ME PLEASE

Please help

determine all the unknown values of the figure below.

Answers

Answer:

F=12.76

S=27.18

X=62 degrees

Step-by-step explanation:

hope this helps

mark brianliest ;)

Based on the right-angled triangle shown above, all the unknown values are;

S = 27.18 units

F = 12.76 units

x = 62°.

How to determine the measure of the missing side lengths and angle?

In order to determine the measure of the missing side length, we would have to apply the basic cosine trigonometric function because the given side lengths represent the adjacent side (24) of a right-angled triangle;

cos(θ) = Adj/Hyp

Where:

Adj represent the adjacent side of a right-angled triangle.
Hyp represent the hypotenuse of a right-angled triangle.
θ represent the angle.

For the cosine trigonometric function ratio, we have the following:

cos(28) = 24/S

S = 24/cos(28)

S = 27.18 units

From tangent trigonometric function ratio, we have the following:

tan(28) = F/24

F = 24tan(28)

F = 12.76 units

Since the angles formed by a right-angled triangle are acute complementary angles;

x + 28 = 90

x = 90 - 28

x = 62°.

Read more on trigonometric function here: brainly.com/question/24349828

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Help me on this please (10 points)Also, this question relates with the first one so...

___x 9=___

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She can pack 27 gifts in three hours. 3(hours) x 9(gifts per hour) = 27(gifts)

27 gifts in 3 hours.

You are given 7 to 1 odds against rolling a sum of 6 with the roll of two fair dice, meaning you win $7 if you succeed and you lose $1 if you fail. Find the expected value (to you) of the game.