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Bogdan [553]
3 years ago
7

In an examination given to a class of 20 students, the following test scores were obtained.

Mathematics
1 answer:
nexus9112 [7]3 years ago
4 0

Answer:

Mean = 75

Median = 80

Mode = 85

The mode

Step-by-step explanation:

Given the data :

45 45 50 50 55 60 70 75 75 80 80 85 85 85 85 90 95 95 95 100

Rearranged data :

45, 45, 50, 50, 55, 60, 70, 75, 75, 80, 80, 85, 85, 85, 85, 90, 95, 95, 95, 100

The mean score :

ΣX / n ; n = sample size = 20

ΣX = 1500

Mean = 1500 / 20 = 75

Mode = most frequently occurring = 85 ( frequency of 4)

Median = 0.5(n + 1)th term

Median = 0.5(20 + 1)th term

Median = 0.5(21) th term

Median = 10.5th term = (10 + 11)th term / 2

Median = (80 + 80) / 2 = 160 / 2 = 80

2.) The mode

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An Archer shoots an arrow horizontally at 250 feet per second. The bullseye on the target and the arrow are initially at the sam
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<h2>1.84feet</h2>

Step-by-step explanation:

Using the formula for finding range in projectile, Since range is the distance covered in the horizontal direction;

Range R = U\sqrt{\frac{H}{g} }

U is the velocity of the arrow

H is the maximum height reached = distance below the bullseye reached by the arrow.

R is the horizontal distance covered i.e the distance of the target from the archer.

g is the acceleration due to gravity.

Given R = 60ft, U = 250ft/s, g = 32ft/s H = ?

On substitution,

60 = 250\sqrt{\frac{H}{32}} \\\frac{60}{250} = \sqrt{\frac{H}{32}}\\\frac{6}{25} = \sqrt{\frac{H}{32}

Squaring both sides we have;

(\frac{6}{25} )^{2} = (\sqrt{\frac{H}{32} } )^{2} \\\frac{36}{625} =  \frac{H}{32} \\625H = 36*32\\H = \frac{36*32}{625} \\H = 1.84feet

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3 years ago
There are 12 inches in 1 foot. Jada is working on improving her vertical jump. She records,
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Answer:

There are <u>72 inches</u> in 6 feet.

Step-by-step explanation:

Given:

There are 12 inches in 1 foot.

Jada is working on improving her vertical jump.

Currently, her standing reach is 6 feet from the ground.

Now, to find the inches in 6 feet.

Let the inches in 6 feet be x.

As given:

In 1 foot there are 12 inches.

<em>So, 1 foot is equivalent to 12 inches.</em>

<em>Thus, 6 feet is equivalent to </em>x<em />

Now, to find using cross multiplication method:

\frac{1}{12} =\frac{6}{x}

<em>By cross multiplying we get:</em>

x=72

So, the inches in 6 feet = 72.

Therefore, there are 72 inches in 6 feet.

3 0
3 years ago
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