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Brrunno [24]
2 years ago
5

consuder the following polynomial equation x(x-3)(x+6)(x-7)=0. which of the following are zeros of the equation? select all that

apply. A = -7. B= -6 C= -3 D= 0 E= 3 F= 6 G= 7
Mathematics
1 answer:
mylen [45]2 years ago
6 0

Answer:

B, D, E, and F

x = -6, 0 , 3, 7

Step-by-step explanation:

The zeros of a polynomial are the solutions to its factored set equal to 0. Using the zero -product property, you can set each factor of the polynomial equal to 0. Each one will solve to specific solution for it.

The polynomial has factors x, x-3, x+6 and x-7. Set each equal to 0 and solve.

x = 0

x - 3 = 0 has solution x = 3

x + 6 = 0 has solution x = -6

x - 7 = 0 has solution x = 7

The zeros of the polynomial are x = -6, 0 , 3, 7.

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A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain us
amm1812

Answer:

Given:

Sham: n= 20,     x=0.44,   s=1.24,

Magnet:n= 20,  x =0.49,   s= 0.95

For Sham:

Sample size, n = 20

Sample mean = 0.44

Standard deviation = 1.24

For Magnet:

Sample size = 20

Sample mean = 0.49

Standard deviation = 0.95

The null and alternative hypotheses:

H0: s1²=s2²

H1: s1² ≠ s2²

a) To find the test statistics, use the formula:

\frac{s1^2}{s2^2}

\frac{1.24^2}{0.95^2} = \frac{1.5376}{0.9025} = 1.7037

Test statistics = 1.7037

b) P-value:

Sham: degrees of freedom = n - 1 = 20 - 1 = 19

Magnet: degrees of freedom = n - 1 = 20 - 1 = 19

The critical values:

[Za/2, df1, df2)], [(1 - Za/2), df1, df2]

f[0.05/2, 19, 19], f[(1 - 0.05/2), 19, 19]

f[0.025, 19, 19], f[0.975, 19, 19]

(2.526, 0.3958)

The rejection region:

Reject H0, if  F < 0.3958 or if F > 2.526

c) Conclusion:

Since the critical values of test statistic is between (0.3958 < 1.7037 < 2.526), we fail to reject null hypothesis H0.

There is insufficient evidence to to support the claim that those given a sham treatment have reductions that vary more than those treated with magnets

3 0
2 years ago
Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 cm longer than twice the length of
g100num [7]
STEP 1:
convert meters to centimeters
100 cm= 1 meter

= 100 cm/m * 2.5 m
= 250 cm


STEP 2:
x= length of first shelf
2x+18= length of second shelf
x-12= length of third shelf
x+4= length of fourth shelf

since the whole board has to be used, add lengths of all shelves and set it equal to the whole length of the board (250 cm).

x + (2x+18) + (x-12) + (x+4)= 250 cm
combine like terms
5x + 10= 250
subtract both sides by 10
5x= 240
divide both sides by 5
x= 48


STEP 3:
find length of second shelf
= 2x + 18
= 2(48) + 18
= 114 cm


CHECK:
x + (2x+18) + (x-12) + (x+4)= 250
48 + (2(48)+18) + (48-12) + (48+4)= 250
48 + (96+18) + 36 + 52= 250
48 + 114 + 36 + 52= 250
250= 250


ANSWER: Shelf two is 114 cm.

Hope this helps! :)
8 0
3 years ago
Sandy had five seashells she gave mageret 3 of them how many are left?
erma4kov [3.2K]
Total shells Sandy had = 5
Shells Mageret got         = 3
Balance of Seashells 
5 - 3
2
8 0
3 years ago
What is three times as long of 20 square meters
Stolb23 [73]
Three times as long of 20 square meters would be 60

you can do 20×3 to get 60.
6 0
3 years ago
An ice-cream parlor donated boxes of ice-cream bars for a school event the organizers need to decide how many ice-cram bars are
mylen [45]
Divide the number of ice-cream bars into the number of people. Example: say you have 20 ice cream bars and 10 people you divide 20/10 and get 2 ice cream bars per person. Hope this helped.
6 0
3 years ago
Read 2 more answers
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