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lidiya [134]
3 years ago
9

True or false? A histogram and a relative frequency histogram, constructed from the same data, always have the same basic shape.

Choose the correct answer below. O A. False. The two histograms can have very different shapes depending on the distribution of the data. O C. False. The histograms use different scales on the y-axis, resulting in completely different shapes. O B. True. They will both have the same shape and the same vertical scale. They will dffer only in the scale used on the horizontal axis. O D. True. A relative frequency histogram will have a different scale on the y-axis but the same shape as a regular histogram.
Mathematics
1 answer:
alexandr402 [8]3 years ago
4 0

Answer:

A. False

C. False

B. False

D. True

Step-by-step explanation:

Frequency histogram is denote the actual frequency of each observation or different class- intervals whereas Relative frequency distribution shows the fraction of that frequency to the total frequencies or the percent of that frequency to the total.

Thus the shape of both histogram are same.

A. False.

C. False

Since, Scale of the y-axis is different. But they has same shape.

B. False

Since, vertical scale is different for both histogram and horizontal scale is same.

D. True

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2.5% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely ac
Aleks04 [339]

Answer:

P(disease/positivetest) = 0.36116

Step-by-step explanation:

This is a conditional probability exercise.

Let's name the events :

I : ''A person is infected''

NI : ''A person is not infected''

PT : ''The test is positive''

NT : ''The test is negative''

The conditional probability equation is :

Given two events A and B :

P(A/B) = P(A ∩ B) / P(B)

P(B) >0

P(A/B) is the probability of the event A given that the event B happened

P(A ∩ B) is the probability of the event (A ∩ B)

(A ∩ B) is the event where A and B happened at the same time

In the exercise :

P(I)=0.025

P(NI)= 1-P(I)=1-0.025=0.975\\P(NI)=0.975

P(PT/I)=0.904\\P(PT/NI)=0.041

We are looking for P(I/PT) :

P(I/PT)=P(I∩ PT)/ P(PT)

P(PT/I)=0.904

P(PT/I)=P(PT∩ I)/P(I)

0.904=P(PT∩ I)/0.025

P(PT∩ I)=0.904 x 0.025

P(PT∩ I) = 0.0226

P(PT/NI)=0.041

P(PT/NI)=P(PT∩ NI)/P(NI)

0.041=P(PT∩ NI)/0.975

P(PT∩ NI) = 0.041 x 0.975

P(PT∩ NI) = 0.039975

P(PT) = P(PT∩ I)+P(PT∩ NI)

P(PT)= 0.0226 + 0.039975

P(PT) = 0.062575

P(I/PT) = P(PT∩I)/P(PT)

P(I/PT)=\frac{0.0226}{0.062575} \\P(I/PT)=0.36116

8 0
3 years ago
What is the answer to 5x + 2 = 3x
3241004551 [841]

Answer:

  • x = -1

Explanation:

5x + 2 = 3x

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x = \dfrac{-2}{2}

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Hope this helps! ☺

4 0
3 years ago
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Answer:

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Step-by-step explanation:

Let L be the larger number and s be the smaller one.

Then we have two equations.

(1) L – s = 25

(2)       s = L/6     Multiply both sides by 6

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 6s – s = 25        Combine like terms

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         s = 5

The value of the smaller number is 5.

7 0
3 years ago
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