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marshall27 [118]
3 years ago
9

Factor the polynomial-x^3-4x^2-5x

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

Answer:

(-x)(x^2 + 4x + 5)

Step-by-step explanation:

You have to factor out the -x from the rest of the expression.

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What is the equation of the line that passes through the point (6, 8) and has a slope 1/2
Korvikt [17]

Answer:

y=1/2x+5

Step-by-step explanation:

Plug it into the formula for a point and a slope.

(y-(y(subscript 1)))=(m)(x-(x(subscript 1)))

Y-8=1/2(x-6)

Then multiply the 1/2 to the x and -6. After you do that, move everything so that it has y by itself on the left. Your ending should be y=1/2x+5.

7 0
2 years ago
A hockey team is convinced that the coin used to determine the order of play is weighted. The team captain steals this special c
fredd [130]

Answer:

Since x= 12 (0.006461) does not fall in the critical region so we accept our null hypothesis and conclude that the coin is fair.

Step-by-step explanation:

Let p be the probability of heads in a single toss of the coin. Then our null hypothesis that the coin is fair will be formulated as

H0 :p 0.5   against   Ha: p ≠ 0.5

The significance level is approximately 0.05

The test statistic to be used is number of heads x.

Critical Region: First we compute the probabilities associated with X the number of heads using the binomial distribution

Heads (x)        Probability (X=x)                        Cumulative     Decumulative

0                        1/16384 (1)             0.000061     0.000061

1                         1/16384  (14)         0.00085             0.000911

2                       1/16384 (91)           0.00555             0.006461

3                       1/16384(364)         0.02222

4                       1/16384(1001)         0.0611

5                       1/16384(2002)       0.122188

6                        1/16384(3003)      0.1833

7                         1/16384(3432)      0.2095

8                        1/16384(3003)       0.1833

9                        1/16384(2002)       0.122188

10                       1/16384(1001)        0.0611

11                       1/16384(364)        0.02222

12                      1/16384(91)            0.00555                             0.006461

13                     1/16384(14)              0.00085                           0.000911

14                       1/16384(1)            0.000061                            0.000061

We use the cumulative and decumulative column as the critical region is composed of two portions of area ( probability) one in each tail of the distribution. If  alpha = 0.05 then alpha by 2 - 0.025 ( area in each tail).

We observe that P (X≤2) =   0.006461 > 0.025

and

P ( X≥12 ) = 0.006461 > 0.025

Therefore true significance level is

∝=  P (X≤0)+P ( X≥14 ) = 0.000061+0.000061= 0.000122

Hence critical region is (X≤0) and ( X≥14)

Computation x= 12

Since x= 12 (0.006461) does not fall in the critical region so we accept our null hypothesis and conclude that the coin is fair.

3 0
3 years ago
What is 83% as a decimal SHOW WORK IF U CAN HELP ASAP!!
Marat540 [252]

0.83Answer:

Step-by-step explanation:

83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83

5 0
3 years ago
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2. The table shows prices that three different people paid for the some kind of fresh salmon at
Ostrovityanka [42]
What would you need help with the most with this big problem?
3 0
3 years ago
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a rectangular room is 2meters longer than it is wide, and it's perimeter is 24 meters. find the dimension of the room​
asambeis [7]

2l + 2(l+2)=24 \\2l +2l+4=24 \\4l=20 \\\boxed{l=5}

Length of the room is 5 m and width is 5 + 2 = 7 m.

Hope this helps.

r3t40

5 0
3 years ago
Read 2 more answers
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