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2 years ago

5

At a certain University the student to teacher ratio is 16:1. If there are 2,000 students and rolled how many teachers must be e

mployee to maintain this ratio

1 answer:

aliya0001 [1]2 years ago

4 0

Essentially, the equation is 2000/x = 16/1

We can use cross multiplication to show that 2000 = 16x

x = 125

There are 125 teachers.

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Yet again I still get confused

ryzh [129]

The left side is a half circle.
The area of a circle is PI x r^2

The diameter of the circle would be the height of the rectangle, given as 10 feet.
The radius is 1/2 the diameter, so 5 feet.

The area of half the circle is (3.14 x 5^2) / 2 = 39.25 square feet.

The area of the rectangle is 20 x 10 = 200 square feet.

Total area = 200 + 39.25 = 239.25 square feet.

6 0

3 years ago

Find the area of the shaded region:

Deffense [45]

Answer:

34560

Step-by-step explanation:

You have to multiply to get your answer

Hope I'm right...

Hope this helps plz like and brainly :D

6 0

3 years ago

There are 210210210 students in a twelfth grade high school class. 909090 of these students have at least one sister and 1051051

BlackZzzverrR [31]

Answer:

(1) The value of P (A) is 0.4286.

(2) The value of P (B) is 0.50.

(3) The value of P (A ∩ B) is 0.2143.

(4) The the value of P (B|A) is 0.50.

(5) The events <em>A</em> and <em>B</em> are independent.

Step-by-step explanation:

The events are defined as follows:

<em>A</em> = a student in the class has a sister

<em>B</em> = a student has a brother

The information provided is:

<em>N</em> = 210

n (A) = 90

n (B) = 105

n (A ∩ B) = 45

The probability of an event <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

The conditional probability of an event <em>X</em> provided that another event <em>Y</em> has already occurred is:

$P(X|Y)=\frac{P(A\cap Y)}{P(Y)}$

If the events <em>X</em> and <em>Y</em> are independent then,

$P(X|Y)=P(X)$

(1)

Compute the probability of event <em>A</em> as follows:

$P(A)=\frac{n(A)}{N}\\\\=\frac{90}{210}\\\\=0.4286$

The value of P (A) is 0.4286.

(2)

Compute the probability of event <em>B</em> as follows:

$P(B)=\frac{n(B)}{N}\\\\=\frac{105}{210}\\\\=0.50$

The value of P (B) is 0.50.

(3)

Compute the probability of event <em>A</em> and <em>B</em> as follows:

$P(A\cap B)=\frac{n(A\cap B)}{N}\\\\=\frac{45}{210}\\\\=0.2143$

The value of P (A ∩ B) is 0.2143.

(4)

Compute the probability of <em>B</em> given <em>A</em> as follows:

$P(B|A)=\frac{P(A\cap B)}{P(A)}\\\\=\frac{0.2143}{0.4286}\\\\=0.50$

The the value of P (B|A) is 0.50.

(5)

The value of P (B|A) = 0.50 = P (B).

Thus, the events <em>A</em> and <em>B</em> are independent.

6 0

3 years ago

Select the correct answer from each drop-down menu.

irakobra [83]

Answer:

The length of side AC is 5 units.

The areas of triangle ABC is 10 square units.

Step-by-step explanation:

From point A (1,3) to point C (1,-2) is 5 units

To check this:

3 - (-2) = 3 + 2 =5

We're subtracting since the point went down (from positive 3 to negative 2)

Now for the area:

Area formula for a triangle: $\frac{1}{2}$ bh = $\frac{1}{2}$ ⋅b⋅h

We already found the height (length) : 5

The base is from point C (1,-2) to point B (5,-2), which is 4 units

To check this:

5 - 1 = 4

Now that we have found the base and height, Let's solve:

$\frac{1}{2}$ ⋅4⋅5 = $\frac{1}{2}$ ⋅20 = 10

Our area is 10 square units.

Hope that helps :)

6 0

2 years ago

Peter waters his lawn every 4 days. Amy waters her lawn every 3 days and Mark waters his lawn every 6 days. If they are all wate

ch4aika [34]

Answer:

A) 12th day

Step-by-step explanation:

Firn the lcm of 3, 4 and 6

This is 12

So it is a)12 day

6 0

2 years ago

Read 2 more answers