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inna [77]
3 years ago
11

Resolve into factors x^4+x^2+1

Mathematics
1 answer:
Virty [35]3 years ago
8 0

Answer:

x^{6} + 1

Step-by-step explanation:

If exponents have the same base, then you could add the exponents together. The exponents have the same base of x.

4 + 2 = 6

x^{6} + 1

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at a store, the probability that a customer buys socks is 0.15. the probability that a customer buys socks given that the custom
leva [86]

Answer: Option B

Step-by-step explanation:

First we assign a name to the events:

Event S: a customer buys socks

Event H: a customer buys shoes.

We know that :

P (S) = 0.15

We also know that the probability of S given that H occurs is:

P(S|H) =\frac{P(S\ and\ H)}{P(H)}=0.20

If two events S and H are independent then:

P (S) * P (H) = P (S\ and\ H)

This mean that if two events S and H are independent then:

P(S|H) =\frac{P(S)*P(H))}{P(H)}

P(S|H) =P(S)

We know that:

P(S|H) =0.20  and P (S) = 0.15

0.20\neq 0.15

This means that S and H events are dependent.

The answer is the option B

3 0
3 years ago
Which definition best describes vertical angles?
Artyom0805 [142]

Answer:

B is the answer

Step-by-step explanation:

Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other

4 0
3 years ago
Points (3,2) and (-5,6) are endpoints of the diameter of a circle.
vichka [17]

Answer:

A.8 B.(-1,4) C.(1,4)

Step-by-step explanation:

First, know that (3,2)=(x1,y1) and (-5,6)=(x2,y2)

A. The diameter is 8, given the diference between x1 and x2: 3-(-5)=8

B. The center point is given by (x1+x2)/2 and (y1+y2)/2

(x1+x2)/2 and (y1+y2)/2 = (3-5)/2 and (2+6)/2 = (-1,4)

C. The symmetric point of C about the x-axis is (1,4)

5 0
3 years ago
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasolin
vovangra [49]

Complete question :

Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?

Answer:

$265,720

Step-by-step explanation:

Given that:

State gasoline tax = $0.26 per gallon

Average number of gasoline sold per day = 1,022,000 gallons

. From the availabke information given :

Revenue generated = gasoline tax per gallon multiplied by the average number of gallons sold

= $0.26 * 1,022,000

= $265,720

3 0
3 years ago
Divide 30 by it's half, add the half of 18 that has been divided by the half of the half of 12 after been divided by half.
WARRIOR [948]

Answer:

We want to divide 30 by it's half.

The half of 30 is 30/2 = 15

then we have: 30/15 = 2

Now we want to add the half of 18, that has ben divided by the half of the half of 12 hafter been divided by half.

The half of 12 is 12/2 =  6

the half of the half of 12 is 6/2 = 3

now, we wanto to divide the half of 18 by that number.

The half of 18 is 18/2 = 9

then we have 9/3 = 3

and we wanted to add this to the number previous found:

2 + 3 = 5

6 0
3 years ago
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