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3 years ago

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A university has 28,980 students. In a random sample of 180 students, 12 speak three or more languages. Predict the number of st

udents at the university who speak three or more languages. The expected number of students at the university who speak three or more languages is .

1 answer:

anygoal [31]3 years ago

5 0

Word | know | Unknown
Language| 12 | x
Total | 180 | 28980
Use cross multiply:
12(28980) = 180(x)
347760 = 180x
347760/180=1932

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Please help!!!!

valentina_108 [34]

ANSWER

$\frac{ {t}^{2} + 4t - 12}{ {t}^{2} - 4 } = \frac{t + 6}{ t + 2}$
where,
$t \ne - 2$

EXPLANATION

We want to simplify the rational expression

$\frac{ {t}^{2} + 4t - 12}{ {t}^{2} - 4 }$

We can observe that the numerator of the given rational expression is a quadratic trinomial and the denominator is a difference of two squares

We need to split the middle term in the numerator and rewrite the denominator as a difference of two squares to obtain,

$\frac{ {t}^{2} + 4t - 12}{ {t}^{2} - 4 } = \frac{{t}^{2} + 6t - 2t - 12}{ {t}^{2} - {2}^{2} }$

We now factor to obtain,

$\frac{ {t}^{2} + 4t - 12}{ {t}^{2} - 4 } = \frac{t (t+ 6) - 2(t + 6)}{ (t - 2)(t + 2)}$

This implies that,

$\frac{ {t}^{2} + 4t - 12}{ {t}^{2} - 4 } = \frac{(t - 2) (t + 6)}{ (t - 2)(t + 2)}$

We now cancel out common factors to obtain,

$\frac{ {t}^{2} + 4t - 12}{ {t}^{2} - 4 } = \frac{(t + 6)}{ (t + 2)}$

The restriction is that, the denominator cannot be zero.

Thus

$t + 2 \ne0$

This implies that,

$t \ne - 2$

6 0

4 years ago

Read 2 more answers

What is 15-3/40 equal

Gelneren [198K]

15-3/40=12/40=3.3

So, your answer is 3.3
Hope this helps:)
Plz rate branliest
Have a great day!!!

4 0

4 years ago

The sides of a square are all increased by 3 cm. The area of the new square is 64 cm'.

brilliants [131]

Side of the original square is 5 cm.

Step-by-step explanation:

Step 1: Let the side of the original square be x. Then side of the new square = x + 3 and Area of new square = 64 cm²

Area of a square = (side)²

⇒ 64 = (x + 3)²

⇒ 64 = x² + 6x + 9

⇒ x² + 6x - 55 = 0

⇒ x² + 11x - 5x - 55 = 0 (Since 6x = 11x - 5x as part of factorizing)

⇒ x(x + 11) - 5(x + 11) = 0

⇒ (x + 11)(x - 5) = 0

⇒ x = -11 and x = 5 (Lengths can't be negative)

Side of the original square is 5 cm.

4 0

3 years ago

The endpoints of sa020-1.jpg are A(9, 4) and B(5, – 4). The endpoints of its image after a dilation are sa020-2.jpg and sa020-3.

Oksanka [162]

Answer:
The scale factor is (√10) / (4)

Explanation:
The complete question as well as the rule for the distance between two points are shown in the attached image.

To get the scale factor, we will follow these steps:
1- Length of AB:
AB = √(5-9)²+(-4-4)²
AB = √80
AB = 4√5 units

2- Length of A'B':
A'B' = √(5-6)²+(-4-3)²
A'B' = √50
A'B' = 5√2

3- getting the scale factor:
A'B' = k AB where k is the scale factor
5√2 = k * 4√5
k = (√10) / (4)

Hope this helps :)

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3 years ago

Is 3x-2>1 a strict inequality

Paul [167]

Answer:

Inequalities involving the symbol '>' or '<' are called strict inequalities.

Step-by-step explanation:

Hope this helped!

7 0

3 years ago