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2 years ago

Which expression represents the composition [f o g o h](x) fir the functions below?

Mathematics

1 answer:

JulijaS [17]2 years ago

7 0

Put it the the the g and 0

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A roof on a castle tower is shaped like a cone with a diameter of 12 feet and has a slant height of 13 feet one bundle of Shingl

marissa [1.9K]

Answer:

Step-by-step explanation:

The lateral area of a cone is ...

LA = (π/2)ds

where d is the diameter, and s is the slant height.

The area of this tower roof is about ...

LA = (π/2)(12 ft)(13 ft) = 78π ft² ≈ 245 ft²

About 245/32 = 7.7 bundles of shingles will be required for coverage.

You should buy 8 bundles of shingles to cover the roof.

8 0

2 years ago

Sarah is cutting ribbons for a pep rally. The length of each ribbon needs to be 3.57 inches if she needs 1,000 ribbons what is t

almond37 [142]

Answer:

3,570

Step-by-step explanation:

To find the answer, you have to multiply 1,000 and 3.57

3.57 x 1,000 = 3,570

8 0

2 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

Lubov Fominskaja [6]

Answer:

P(X ≤ 3) = 0.9933.

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success

Also, given n = 5, p =0.2.

The above situation can be represented through binomial distribution;

$P(X = r)= \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ;x = 0,1,2,3,.........$

where, n = number of samples (trials) taken = 5

r = number of success = less than equal to 3

p = probability of success which in our question is 0.20.

Let X = A random variable

So, X ~ Binom(n = 5, p = 0.20)

Now, the probability that X is less than and equal to 3 is given by = P(X ≤ 3)

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= $\binom{5}{0} \times 0.20^{0} \times (1-0.20)^{5-0}+\binom{5}{1} \times 0.20^{1} \times (1-0.20)^{5-1}+\binom{5}{2} \times 0.20^{2} \times (1-0.20)^{5-2}+\binom{5}{3} \times 0.20^{3} \times (1-0.20)^{5-3}$

= $1 \times 1 \times 0.80^{5}+5 \times 0.20^{1} \times 0.80^{4}+10 \times 0.20^{2} \times 0.80^{3}+10 \times 0.20^{3} \times 0.80^{2}$

= 0.9933

4 0

2 years ago

Mr. O'Brien is paid $7.30 per hour for the first 40 hours he works in a week. he is paid 1.5 times that rate for each hour after

nikklg [1K]

No it would be $481. 80 because of the 1.5. you ar3 supposed to do 7.30 times 44 and then equals 321.20 so you times that by 1.5

7 0

2 years ago

Malcolm solves w2-3w=350

stiv31 [10]

Answer:

20.26832436,-17.26832437

5 0

2 years ago