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Fudgin [204]
3 years ago
8

H(x) = 2.8x3 + 0.01x2 − 1 for x = 1 and x = 2. URGENT!!

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0

Answer:

3.2976

Step-by-step explanation:

i just took it

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6. What number can be added to -4 to get a sum of 0?<br> a) -4<br> b) 0<br> c) %<br> d) 4
Alika [10]

-4 + x = 0

Add 4 to both sides:

x = 4

The answer is d) 4

6 0
2 years ago
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16. A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours
Reika [66]

Answer:

a) 23.11% probability of making exactly four sales.

b) 1.38% probability of making no sales.

c) 16.78% probability of making exactly two sales.

d) The mean number of sales in the two-hour period is 3.6.

Step-by-step explanation:

For each phone call, there are only two possible outcomes. Either a sale is made, or it is not. The probability of a sale being made in a call is independent from other calls. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours, find:

Six calls per hour, 2 hours. So

n = 2*6 = 12

Sale on 30% of these calls, so p = 0.3

a. The probability of making exactly four sales.

This is P(X = 4).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{12,4}.(0.3)^{4}.(0.7)^{8} = 0.2311

23.11% probability of making exactly four sales.

b. The probability of making no sales.

This is P(X = 0).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

1.38% probability of making no sales.

c. The probability of making exactly two sales.

This is P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

16.78% probability of making exactly two sales.

d. The mean number of sales in the two-hour period.

The mean of the binomia distribution is

E(X) = np

So

E(X) = 12*0.3 = 3.6

The mean number of sales in the two-hour period is 3.6.

4 0
3 years ago
QUICK PLEASE!! 100 POINTS!! PLEASE DONT GUESS!
allochka39001 [22]

Answer: B

Step-by-step explanation: I think

7 0
3 years ago
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A washer and dryer cost $750 combined. The cost of the washer is two times the cost of the dryer. What is the cost of the dryer?
krok68 [10]
Washer=500
dryer=250
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3 years ago
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Which of the following equations of a line is NOT written in standard form?
motikmotik

Answer:D

Step-by-step explanation:

Standard form in algebra is Ax+ By=C

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