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3 years ago

Factor x3 ‒ 11x2 ‒ 7x + 77 by grouping. What is the resulting expression?

Mathematics

1 answer:

shepuryov [24]3 years ago

6 0

Answer:

A. $(x^{2}-7)\cdot (x-11)$

Step-by-step explanation:

The third order polynomial is factored herein:

$x^{2}\cdot (x-11) - 7\cdot (x-11)$

$(x^{2}-7)\cdot (x-11)$

Which represents answer A.

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14. Solve the equations:

boyakko [2]

Answer: C

Step-by-step explanation:

5(z - 4) - z = 4z - 20

5z - 20 - z = 4z - 20

4z - 20 = 4z - 20

-4z -4z

-20 = -20

TRUE

Since it is a true statement, there are infinitely many solutions

*******************************************************************************

Answer: D

Step-by-step explanation:

Eric: 1 hot dog

Mark: 1 hot dog + 1 soda + 1 peanuts

Total: 2 hot dogs + 1 soda + 1 peanuts

= 2(3.50) + x + 1(4.00)

= 7.00 + x + 4.00

= x + 11.00

Eric paid 3.00: x + 11.00 - 3.00

x + 8.00

Mark paid 11.50 which was the balance owed: 11.50 = x + 8.00

11.50 = x + 8.00

-8.00 -8.00

3.50 = x

the soda cost $3.50

7 0

3 years ago

Explain what a P-value is. What is the criterion for rejecting the null hypothesis using the P-value approach?

ladessa [460]

Answer:

P-value or Probability value is the exact percentage where test statistics lie.The criterion for rejecting the null hypothesis using the P-value approach is that if P-value < Level of significance , then we reject our null hypothesis

Step-by-step explanation:

P-value or Probability value is the exact percentage where test statistics lie.

It also tells the probability of obtaining extreme results corresponding to our level of significance keeping in state that our null hypothesis is true or correct.

The criterion for rejecting the null hypothesis using the P-value approach is that if P-value < Level of significance , then we reject our null hypothesis i.e.

Suppose P-value is 2.33% and Level of significance is 5%, then we will reject our null hypothesis as 2.33% < 5%.

On the other hand, if P-value > Level of significance , then we cannot reject or accept our null hypothesis.

5 0

3 years ago

A sample of 20 glass bottles of a particular type was selected, andthe internal pressure strength of each bottle was determined.

vladimir1956 [14]

Answer:

Yes, there is one outlier (lower)

Step-by-step explanation:

Looking at the distribution of the lower/smallest observation, we can see that there is a values in the lower/smallest that is very far from others. See the attached box-plot for understanding.

The median is the line in the middle of the box-plot.

The Lower fourth is the lower whisker line and upper fourth is the upper whisker line. The lower box (just below the median) line is the 1st quartile and the upper box line (just above the median) is 3rd quartile.