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3 years ago

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A university has 39,630 students in a random sample of 240 students 16 speak three or more Languages predict the number of stude

nts at the university who speak three or more languages?

1 answer:

tekilochka [14]3 years ago

4 0

2642 students speak 3 or more languages

You might be interested in

A recursive rule for a sequence is given. Find the first four terms of the sequence.

tigry1 [53]

Answer:

So...

a0 = -2

a1 = (a0)2 - 4 = 4 - 4 = 0

a2 = (a1)2 - 4 = ((a0)2-4)2 - 4 =...= 02 - 4 = -4

For an+1, you may use the previous term (an) if you have just calculated it, rather than calculating it recursively again

a3 = (-4)2 - 4 = 12

The first four terms in the sequence are -2, 0, -4, 12.

Step-by-step explanation:

This recursive sequence is defined as follows:

a0 = -2 [the first term]

an+1 = an2 - 4 [for all other terms, n≥0; note that you cannot find a0 using this line]

Note that this is not "BASE" for a number base, but it is "SUB" for subscript, indicating the term. Sometimes, sequences are written with the first term being a1 and sometimes sequences are written with the first term being a0. This is because there are situations that make one or the other more convenient (for example, starting with elapsed time t=0 makes sense).

To find the value of later terms, a recursive definition requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, ... which requires that use the value of the first term.

That's why (joke) that the dictionary definition of "recursive" is "see recursive."

4 0

2 years ago

Mrs. Miller is planting pumpkin seeds. She

Artemon [7]

Answer: 31,755

Step-by-step explanation: You would just multiply 365 by 87 like this.

365 x 87

and the answer would be 31,755.

365 x 87 = 31,755

4 0

3 years ago

Read 2 more answers

How many radians does the minute hand of a clock rotate through over half an hour? How many degrees?

Ivanshal [37]

Answer:

So minute hand will rotate $\pi radian$ in half an hour

Step-by-step explanation:

In one hour minute hand of clock rotate about 360°

So in half an hour minute hand clock rotate $\frac{360}{2}=180^{\circ}$

We have to find how many minute hand rotate in radian

For conversion of degree to radian we have to multiply with $\frac{\pi }{180}$

So $180^{\circ}=180\times \frac{\pi}{180 }=\pi radian$

So minute hand will rotate $\pi radian$ in half an hour

3 0

3 years ago

Calculate the average rate of change of f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6. A) -163 18 B) -18 163 C) 163 18 D) 18 163

larisa86 [58]

To solve this we are going to use the average rate of change formula: $A(x)= \frac{f(b)-f(a)}{b-a}$
where
$A(x)$ is the average rate of change of the function
$f(a)$ is the position function evaluated at $a$
$f(b)$ is the position function evaluated at $b$
$a$ is the first point in the interval
$b$ is the second point in the interval

We can infer for our problem that the first point is 3 and the second point is 6, so $a=3$ and $b=6$ . Lets replace those values in our formula:
$A(x)= \frac{f(b)-f(a)}{b-a}$
$A(x)= \frac{f(6)-f(3)}{6-3}$
$A(x)= \frac{6-6^2-2-(3-3^2-2)}{3}$
$A(x)= \frac{-32-(-8)}{3}$
$A(x)= \frac{-32+8}{3}$
$A(x)= \frac{-24}{3}$
$A(x)=-8$

We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>

3 0

3 years ago

Read 2 more answers

Which of the following is the best definition of vertical angles?

Lilit [14]

Step-by-step explanation:

Very quick and effortless example of vertical angles in the attached image. When 2 straight lines intersect, the 2 angles opposite each other at that point are vertical angles, and they are always congruent.

I'd say it's the 3rd option:

"Vertical angles are a pair of non-adjacent angles formed by two intersecting lines."

but any of the first three could be technically true really. Adjacent angles are 2 angles that share a side, and vertical angles cannot share one.

8 0

3 years ago