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3 years ago

Below is data collected from a random sample of 80 students regarding

Mathematics

1 answer:

Vsevolod [243]3 years ago

3 0

<u>Corrected Question</u>

Below is data collected from a random sample of 80 students regarding their fitness habits. If the entire school has 600 students, then what is a reasonable estimate for the number of students who consider themselves to have an average fitness habits.

Answer:

(D)330

Step-by-step explanation:

Out of a random sample of 80 students

44 considered themselves to have AVERAGE fitness habits.

Relative Frequency of Students with average fitness habits=44/80

Therefore, out of the total population of 600 students

Expected Number of Students with average fitness habits

=Relative Frequency of Students with average fitness habits X Total Population

$=\dfrac{44}{80}X600\\\\ =330$

<u>The correct option is D.</u>

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From the diagram below, if side DF is 4 cm., side CB would be ______.

kondaur [170]

The measure of CB from the given figure is 8cm

<h3>What is a triangle?</h3>

A triangle is 2 dimensional shape with 3 sides and angles. The types of triangle that we have are;

Equilateral triangle
Scalene triangle
Isosceles

The given triangle is a scalene triangle since <u>none of the sides are equal</u>

From the figure shown, we can see that the mea<em>sure of DF is equivalent to CE and EB</em>

Since CB = CE + EB

Given the following parameter

DF = 4cm

CE = EB = DF = 4cm

Substitute

CB = 4cm + 4cm

CB = 8cm

Hence the measure of CB from the given figure is 8cm

Learn more on triangles here; brainly.com/question/25215131

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3 years ago

. The mean width of 12 iPads is 5.1 inches. The mean width of 8 Kindles is 4.8 inches. a. What is the total width of the iPads?

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Answer:

a) 61.2, b) 38.4 and c) 4.98

Step-by-step explanation:

Given:

The mean width of 12 I-Pads is 5.1 inches.

The mean width of 8 Kindles is 4.8 inches.

Question asked:

a. What is the total width of the I-Pads?

b. What is the total width of the Kindles?

c. What is the mean width of the 12 I-Pads and 8 Kindles?

Solution:

<u /> $Mean =\frac{Sum\ of\ observations}{Number\ of\ observations}\\ \\ Mean\ width =\frac{Sum\ of\ width\ of\ all \ I-pad}{Number \ of\ I-pad}$

$5.1=\frac{Sum\ of\ width\ of\ all\ I-pad}{12} \\ \\ By \ cross\ multiplication\\ \\ Sum\ of\ width\ of\ all\ I-pad}=5.1\times1 2\\ \\ Sum\ of\ width\ of\ all\ I-pad}= 61.2$

a) Thus, the total width of the I-Pads are 61.2 inches.

$Mean\ width =\frac{Sum\ of\ width\ of\ all\ Kindles}{Number \ of\ Kindles}$

$4.8=\frac{Sum\ of\ width\ of\ all\Kindles}{8} \\ \\ By \ cross\ multiplication\\ \\ Sum\ of\ width\ of\ all \ Kindles=4.8\times8\\ \\ Sum\ of\ width\ of \ all\ Kindles}=38.4$