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2 years ago

Which expression is the best estimate of One-fourth times 31.3?

Mathematics

1 answer:

myrzilka [38]2 years ago

5 0

Answer:

One-fourth times 32

Step-by-step explanation:

Yes, I know...31.3 rounded is 31, not 32. But it's closer than any other number.

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Find any points of discontinuity for the rational function. y=x-5/x^2-7x-8

kotegsom [21]

For discontinuity of the function:
x² - 7 x - 8 ≠ 0
x² - 8 x + x - 8 = 0
x ( x - 8 ) + ( x - 8 ) ≠ 0
( x - 8 ) ( x + 1 ) ≠ 0
The points of discontinuity are: x = - 1 and x = 8.
As for the Domain of the function:
x ∈ ( - ∞, - 1 ) ∪ ( - 1 , 8 ) ∪ ( 8, +∞ ).

3 0

3 years ago

Read 2 more answers

If f(x)=5x^3 and g(x)=x+1, find (f•g)(x)

alukav5142 [94]

Hello from MrBillDoesMath!

Answer:

5 x^3 + 15 x^2 + 15 x + 5 , none of the provided choices

Discussion:

f(x) = 5 x^3

g(x) = x+ 1

(f•g)(x) =

f(g(x)) =

f(x+1) =

5 * (x+1)^3 =

5 x^3 + 15 x^2 + 15 x + 5

which is none of the provided answers.

Thank you,

MrB

5 0

2 years ago

ASAP<br> -WILL MARK BRIANIST

Thepotemich [5.8K]

Answer:

C and D

Step-by-step explanation:

C and D are the answers because when you simplify D which is 95/100 × 6 you get 0.95×6 which is the same thing as c

8 0

2 years ago

Which line on the graph represents the equation y + 4 = -2x/3

Korolek [52]

Answer:

The answer is line D

Step-by-step explanation:

3 0

2 years ago

Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a

just olya [345]

Answer:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and $X \sim Bin(n=600, p =0.4)$

And we want this probability:

$P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10$