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2 years ago

Honor Roll: Curfew 18 No Curfew 10 No Honor Roll: Curfew 2 No curfew 7

Mathematics

1 answer:

Rudik [331]2 years ago

8 0

Among the students who did not make the honor roll. Then the relative frequency of having no curfew will be 7.

<h3>How to find the relative frequency?</h3>

Relative frequency is the ratio of the considered sub-group count to the total count. (so its frequency of the considered sub-group relative to the total frequency).

Curfew No Curfew No

Honor Roll: 18 10

No Honor Roll: 2 7

Among the students who did not make the honor roll.

Then the relative frequency of having no curfew will be 7.

Learn more about relative frequency here:

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In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen

Lesechka [4]

Step-by-step explanation:

Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.

Type ni xi si

Graded 42 0.486 0.187

No-fines 42 0.359 0.158

To find - a. Formulate the above in terms of a hypothesis testing problem.

b. Give the test statistic and its reference distribution (under the null hypothesis).

c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.

Proof -

a.)

Hypothesis testing problem :

H0 : There is significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

Test statistic :

$Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}} + \frac{s_{2}^{2} }{n_{2}} } }$

$Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42} + \frac{0.02496 }{42} } }$

$Z = \frac{0.127 }{\sqrt{0.001468}}$

$Z = \frac{0.127 }{0.0377}$

⇒Z(cal) = 3.3687

Z(tab) = 1.96

As Z (cal) > Z(tab)

So, we reject H0 at 5% Level of significance

p-value = 0.99962

Hence

There is significant difference in mean conductivity at the two materials.

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2 years ago

Can you help me please here is the image

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Answer:

f=u+2

Step-by-step explanation:

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2 years ago

Rephrase in contrapositive form:

miv72 [106K]

Step-by-step explanation:

Consider the provided information.

For the condition statement $p \rightarrow q$ or equivalent "If p then q"

The rule for Contrapositive is: Negative both statements and interchange them. $\sim q \rightarrow \sim p$

Part (A) If you are taller than 6 ft, then it is unpleasant for you to travel in economy class.

Here p is "you are taller than 6 ft, and q is "it is unpleasant for you to travel in economy class".

It is given that Your contrapositive must not contain explicit references to negation. Assume that the negation of "unpleasant" is "pleasant".

Contrapositive: If it is pleasant for you to travel in economy class then you are not taller than 6 ft then.

Part (B) "If x ≥ 0 and y ≥ 0 then xy ≥ 0" where x, y are real numbers.

Here p is "xy≥ 0, and q is "x ≥ 0 and y ≥ 0"

The negative of xy≥ 0 is xy<0, x ≥ 0 is x<0 and y ≥ 0 is y<0.

Remember negative means opposite.

Contrapositive: If xy < 0 then x<0 and y<0.

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2 years ago

You randomly draw a marble out of a bag containing 4 green marbles, 6 blue marbles, 8 yellow marbles, and 2 red marbles. Find th

shutvik [7]

Answer:

<h3>The probability is </h3><h3> $\frac{3}{5}$ </h3>

Step-by-step explanation:

Green marbles = 4

Blue marbles = 6

Yellow marbles = 8

Red marbles = 2

$4 + 6 + 8 + 2 = 20 \: marbles$

The probability of drawing marble not yellow:

$4 + 6 + 2 = 12 \\ \frac{12}{20} = \frac{3}{5}$

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Answer:

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Step-by-step explanation:

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