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Vika [28.1K]
3 years ago
6

Suppose f and g are continuous functions such that g(2) = 6 and lim x → 2 [3f(x) + f(x)g(x)] = 36. find f(2).

Mathematics
1 answer:
True [87]3 years ago
7 0

Answer: f(2) = 4

Step-by-step explanation:

F(x) and g(x) are said to be continuous functions

Lim x=2 [3f(x) + f(x)g(x)] = 36

g(x) = 2

Limit x=2

[3f(2) + f(2)g(2)] = 36

[3f(2) + f(2) . 6] = 36

[3f(2) + 6f(2)] = 36

9f(2) = 36

Divide both sides by 9

f(2) = 36/9

f(2) = 4

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At a large Midwestern college, 4 % 4% of the students are Hispanic. A random sample of 20 students from the college is selected.
oee [108]

Answer:

option a

Step-by-step explanation:

given that at a large Midwestern college, 4 % 4% of the students are Hispanic.

A  random sample of 20 students from the college is selected.

We have each student is independent of the other to be hispanic

p = success = being hispanic = 0.04 while

q = failure = being non hispanic = 0.96

X - no of hispanics is thus binomial with p = 0.04 and n =20 (sample size)

Since X is binomial

Var(x) = npq = 0.768

Std dev (x) = Square root of variance = \sqrt{0.768} \\=0.8764

rounded off it gives 0.88

So option a is right

4 0
3 years ago
Find the area of this shape please!!
USPshnik [31]

Answer:

I got you. The answer is 42

Step-by-step explanation:

First, you find the area of the big rectangle as if the missing piece wasn't there. So do 5 x 10 which is 50 cm. Then you calculate the area of the second rectangle (aka the missing piece). The dimensions of the missing piece is 2 x 4. 2 x 4 = 8, so the missing piece has an area of 8 cm. Finally, you subtract the area of the missing piece from the area of the shape.

50 - 8 = 42

The area of the shape is 42 cm.

Hope this helps

4 0
3 years ago
Can someone please help
EastWind [94]
You basically just switch it around and subtract the fractions

7 0
3 years ago
The population of a town gradually decreases by about 30
topjm [15]
It would be 3,600 - 30 = 3570
3 0
2 years ago
How would u do this? i needz helpz. plz helpz
castortr0y [4]
You have to add them all together and times that by 60%, when you get 13.8 that's the answer and to prove it, subtract 23-13.8 and you get 9.2 and that's 40%
3 0
3 years ago
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