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PolarNik [594]
2 years ago
15

Frank has 8 soup bowls. He wants to pour 1/3 pint of soup in each bowl. Will Frank need more or less than 8 pints? How much soup

will Frank need?
Mathematics
1 answer:
Margarita [4]2 years ago
5 0
He would need less than 8.  So he would need 2.5 pints. I think.
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A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain us
Zanzabum

Answer:

Step-by-step explanation:

Hello!

The objective of the study is to determine whether the magnets are effective in treating pain. For these two independent groups of individuals with equal affections were randomly sampled, one was treated with magnets and the other group of individuals, call it control group, was treated with a placebo treatment.

The information for both samples is:

X₁: pain measurement using a visual analog scale after the individual received magnet treatments.

X₁~N(μ₁;σ₁²)

n₁= 20

X[bar]₁= 0.46

S₁= 0.93

X₂: pain measurement using a visual analog scale of an individual of the control groups.

X₂~N(μ₂;σ₂²)

n₂= 20

X[bar]₂= 0.41

S₂= 1.26

The claim is that the pain reductions of the control group have more variation than the pain reductions of the target group. If it's so then we could suspect that the population variance of the control group, σ₂², will be greater than the population variance of the magnet group, σ₁².

To test the relationship between these two population variances you have to conduct a variance ratio test using the Snedecors F statistic.

The hypotheses are:

H₀: σ₂² ≤ σ₁²

H₁: σ₂² > σ₁²

α: 0.05

F= (\frac{S_2^2}{S_1^2}) * (\frac{Sigma_2^2}{Sigma_1^2} )~~ F_{(n_2-1);(n_1-1)}

This hypothesis test is one-tailed to the right, there is only one critical value:

F_{(n_2-1);(n_1-1); 1 - \alpha } = F_{19;19; 0.95}= 2.17

The decision rule for the test is:

If F_{H_0} ≥ 2.17, then the decision is to reject the null hypothesis.

If F_{H_0} < 2.17, then the decision is to not reject the null hypothesis.

F_{H_0}= \frac{S_2^2}{S_1^2}*\frac{Sigma_2^2}{Sigma_1^2}  = \frac{(1.26)^2}{(0.93)^2} * 1

F_{H_0} = 1.835 = 1.84

Since the calculated value of F is less than the critical value, the decision is to reject the null hypothesis. So using a 5% significance level the decision is to not reject the null hypothesis, you can conclude that the population variance of the pain reduction of the control group is less or equal than the population variance of the pain reduction on individuals treated with magnets.

I hope it helps!

3 0
3 years ago
Find the distance between the points R(0,1) and S(6,3.5)
Genrish500 [490]

Answer:

Step-by-step explanation:

=(3)2+(5.5)2‾‾‾‾‾‾‾‾‾‾‾‾√

d=(3)2+(5.5)2

=9+30.25‾‾‾‾‾‾‾‾‾√

d=9+30.25

=3‾√9.25

d=39.25

=6.264982

5 0
2 years ago
What are three collinear points in the figure below?
algol [13]

Answer:

B. W,V,Z

Step-by-step explanation:

Collinear points are two more points in the same plane that lie in a straight line.

From the diagram, Z is the intersection of the two diagonals of quadrilateral VXWY.

The points V, Z and W lie along the same diagonal, hence they are collinear.

The point y, Z, and X also lie along the same diagonal, these are also collinear.

The correct choice is B

7 0
3 years ago
An orchard sells 4 pounds of apples for one dollar how much would 5 pounds of apples cost
Mrac [35]

Answer:

1.25

Step-by-step explanation:4 pounds equal to 1 dollar so that means that each pound equals to 0.25 cents. SO, now you multiply 0.25 x 5= 1.25

5 0
2 years ago
Find the value of x in each case:
Margaret [11]

Answer:

x = 11°

4x = 44°

Step-by-step explanation:

Line BC || Line EF... (given)

BF is transversal.

\angle BFG + \angle BFE = 180\degree\\.. (straight \: line \: \angle 's) \\ + \angle BFE = 180\degree\\\angle BFE = 180\degree-147\degree \\\angle BFE = 33\degree\\

\angle BED is exterior angle of \angle EBF

Hence, by remote interior angle theorem of triangle, we have:

m\angle BED = m\angle EBF + \angle BFE  \\4x = x + 33\degree \\4x - x = 33\degree \\3x = 33\degree \\x = \frac{33}{3}\\\huge \purple {\boxed {x = 11\degree}} \\4x = 4\times 11\degree \\\huge \orange{\boxed {4x = 44\degree}}

6 0
3 years ago
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