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2 years ago

What is the product 6* [4, -2, 1, 7, 3, 0]

Mathematics

1 answer:

almond37 [142]2 years ago

7 0

Answer:

[24, -12, 6, 42, 18, 0]

Step-by-step explanation:

Multiply each term in this 1 by 6 row matrix by 6:

[24, -12, 6, 42, 18, 0]

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1. The sides of a triangle have lengths of 5, 8, and 6.(1/ 2). An angle bisector meets the side of length 6.(1/ 2). Find the len

Advocard [28]

Answer:

Step-by-step explanation:

i assume x+y=6(1/2)=\frac{13}{2}

$\frac{5}{8}=\frac{x}{y}=\frac{x}{\frac{13}{2}-x}=\frac{2x}{13-2x}\\65-10x=16x \\26 x=65\\2x=5\\x=\frac{5}{2}\\y=\frac{13}{2}-\frac{5}{2}=\frac{8}{2}=4$

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3 years ago

A construction company is considering submitting bids for contracts of three different projects. The company estimates that it h

julsineya [31]

Answer:

a. $P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\$

b. $E(x) = 0.3$

c. $S(x)=0.5196$

d. $E=5,000$

Step-by-step explanation:

The probability that the company won x bids follows a binomial distribution because we have n identical and independent experiments with a probability p of success and (1-p) of fail.

So, the PMF of X is equal to:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\$

Where p is 0.1 and it is the chance of winning. Additionally, n is 3 and it is the number of bids. So the PMF of X is:

$P(x)=\frac{3!}{x!(3-x)!}*0.1^{x}*(1-0.1)^{n-x}\\$

For binomial distribution:

$E(x)=np\\S(x)=\sqrt{np(1-p)}$

Therefore, the company can expect to win 0.3 bids and it is calculated as:

$E(x) = np = 3*0.1 = 0.3$

Additionally, the standard deviation of the number of bids won is:

$S(x)=\sqrt{np(1-p)}=\sqrt{3(0.1)(1-0.1)}=0.5196$

Finally, the probability to won 1, 2 or 3 bids is equal to:

$P(1)=\frac{3!}{1!(3-1)!}*0.1^{1}*(1-0.1)^{3-1}=0.243\\P(2)=\frac{3!}{2!(3-2)!}*0.1^{2}*(1-0.1)^{3-2}=0.027\\P(3)=\frac{3!}{3!(3-3)!}*0.1^{3}*(1-0.1)^{3-3}=0.001$

So, the expected profit for the company is equal to:

$E=-10,000+50,000(0.243)+100,000(0.027)+150,000(0.001)\\E=5,000$

Because there is a probability of 0.243 to win one bid and it will produce 50,000 of income, there is a probability of 0.027 to win 2 bids and it will produce 100,000 of income and there is a probability of 0.001 to win 3 bids and it will produce 150,000 of income.

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3 years ago

If f(x) = 3x -2 and g(x).= 4x + 1.<br> what is the sum of f(2) and g(-3)

ira [324]

Answer:

The sum of f(2) and g(-3) is -7.

Step-by-step explanation:

f(x) = 3x - 2

f(2) = 3(2)-2

f(2) = 6 -2 = 4

g(x) = 4x + 1

g(-3) = 4(-3) +1

g(-3) = -12 + 1 = -11

f(2) + g(-3) = 4 + (-11)

f(2) + g(-3) = -7

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2 years ago

3 gal 2 c=___ fl oz. PLEASE HELP!!!

Bogdan [553]

Yea what she said was correct

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2 years ago

BD = 53, AC = 45 & DA = 87. Find BC

Musya8 [376]

Answer:

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2 years ago