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3 years ago

Research question: Is the average body temperature of indoor cats different in the morning and evening?

Mathematics

1 answer:

Sever21 [200]3 years ago

7 0

Answer:

The morning and evening body temperature measurements are paired.

Step-by-step explanation:

We are given the following information in the question:

A sample of 40 indoor cats is obtained. Each cat's body temperature measured in the morning and again in the evening.

Paired or dependent Variables:

This means that there are same participants more than once in a test.
They are also known as related groups.
Dependent variable are related groups where two groups are referred to groups of participants that are measured at two different points of time or under two different condition.
There is only one group of variables, but there are two conditions associated or time interval.
In this case the group of participants is the group of 40 cats and their body temperature are measure in two different time, morning and evening.
Thus, the morning and evening body temperature measurements are paired.

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The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.

Musya8 [376]

Answer:

A cone with base radius of 17 in

Step-by-step explanation:

Given

Triangle ABC

Where

AB = BC = 24in

D = Midpoint of AC

Required

Which best describes the resulting three-dimensional figure?

First, the length of the third side of the triangle has to be calculated

The sides of triangle ABC are AB, AC and BC

Given that the perimeter = 82 in

AB + AC + BC = 82

Recall that AB = BC = 24in; The equation becomes

$24 + AC + 24 = 82$

Collect like terms

$AC = 82 - 24 - 24\\AC = 34$

Given that, the triangle is rotated at D, the midpoint of AC

The length of the midpoint has to be calculated

$D = \frac{1}{2}AC$

$D = \frac{1}{2} * 34$

$D = \frac{34}{2}$

$D = 17$

At this point, we can dismiss options C and D.

This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.

So, we have option A and B to select from.

When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.

This implies that, a cone with base radius D is generated.

Recall that D = 17.

Hence, <em>A cone with base radius of 17 in</em>

7 0

3 years ago

Read 2 more answers

Find the mean and the median of the following data

finlep [7]

Answer:

Hope this helped! <3

Step-by-step explanation:

the median for number 1 is: 7.5 and the mean is 9.16667

the median for number 2 is: 100 and the mean is 90.4

the median for number 3 is: 10.5 and the mean is 18.16667

8 0

3 years ago

Read 2 more answers

In a city school, 60% of students have blue eyes, 55% have dark hair, and 35% have blue eyes and dark hair. What is the probabil

gulaghasi [49]

Answer:

58%

Step-by-step explanation:

This is a problem of conditional probability.

Let A represent the event that student has dark hair.

So P(A) = 55% = 0.55

Let B represents the event that student has blue eyes.

So, P(B) = 60% = 0.60

Probability that student has blue eyes and dark hairs = P(A and B) = 35% = 0.35

We are to find the probability that a randomly selected student will have dark hair, given that the student has blue eyes. Using the given formula and values, we get:

$P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\ P(A|B)=\frac{0.35}{0.60}\\\\ P(A|B)=0.58$