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3 years ago

There are 420 students. 63 students were out sick. What percent of the student population is ill?

Mathematics

2 answers:

DENIUS [597]3 years ago

6 0

15% of the student population is ill.

emmainna [20.7K]3 years ago

3 0

To find the percentage,here's what we can do:
$\frac{student \: out \: sick}{original \: population} \times 100\%$

The percentage would then be:
=63/420×100%
=3/20×100%
=0.15×100%
=15%

Therefore the answer is 15%.

Hope it helps!

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Answer:

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Step-by-step explanation:

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4 years ago

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Triangle ABC has a right angle at C. Select all measurements which would mean it has a hypotenuse with a length of 10 units. a.

Delvig [45]

Option d: Angle A is 30 degrees, BC is 5 units

Option e: AC is 8 units, BC is 6 units

Explanation:

The triangle ABC has a right angle at C.

The length of the hypotenuse is 10 units.

The image of the triangle with this measurement is attached below:

Option a: Angle A is 20 degrees, BC is 2 units

$\begin{aligned}\sin 20 &=\frac{2}{h y p} \\h y p &=\frac{2}{\sin 20} \\&=5.8476\end{aligned}$

Since, hypotenuse is 10 units, Option a is not correct answer.

Option b: AC is 7 units, BC is 3 units

$\begin{aligned}A B &=\sqrt{7^{2}+3^{2}} \\&=\sqrt{49+9} \\&=\sqrt{58}\end{aligned}$

Since, hypotenuse is 10 units, Option b is not correct answer.

Option c: Angle B is 50 degrees, BC is 4 units

$\begin{aligned}\cos 50 &=\frac{4}{h y p} \\h y p &=\frac{4}{\cos 50} \\&=6.222\end{aligned}$

Since, hypotenuse is 10 units, Option c is not correct answer.

Option d: Angle A is 30 degrees, BC is 5 units

$\begin{aligned}\sin 30 &=\frac{5}{h y p} \\h y p &=\frac{5}{\sin 30} \\&=10\end{aligned}$

Since, hypotenuse is 10 units, Option d is the correct answer.

Option e: AC is 8 units, BC is 6 units

$\begin{aligned}A B &=\sqrt{8^{2}+6^{2}} \\&=\sqrt{64+36} \\&=\sqrt{100} \\&=10\end{aligned}$

Since, hypotenuse is 10 units, Option e is the correct answer.

Thus, Option d and e are the correct answers.

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3 years ago

Can anyone pls help me in math<3

FinnZ [79.3K]

Answer:

Third number is 12

Step-by-step explanation:

Let $\displaystyle \large{d}$ be common difference & $\displaystyle \large{x}$ be the third number. Set up the following equations:

$\displaystyle \large{x-2d=-2 \to (1)}\\\\\displaystyle \large{x+2d=26 \to (2)}$

Solve the simultaneous equation for x-term:

$\displaystyle \large{2x=24}\\\\\displaystyle \large{x=12}$

Let’s make sure that we get accurately answer. Substitute x = 12 in any equations which I’ll choose (1):

$\displaystyle \large{12-2d=-2}\\\\\displaystyle \large{-2d=-14}\\\\\displaystyle \large{d=7}$

Now add each terms with common difference as 7:

-2+7 = 5

5+7 = 12

12+7 = 19

19+7 = 26

So our pattern is -2, 5, 12, 19, 26. Since the question only asks for third number then the answer is 12

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2 years ago

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Answer:

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3 years ago

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