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Dmitriy789 [7]
3 years ago
8

Factor completely 2x3 + 14x2 + 4x + 28.

Mathematics
2 answers:
Nutka1998 [239]3 years ago
5 0
Hi there!

2x³ + 14x² + 4x + 28

2(x+7)(x² +2)


I hope that helps!
Oxana [17]3 years ago
3 0
6 + 28 + 4x +28

34 +28 + 4x

62 + 4x?

Not quite sure if that was what you were looking for
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Need help on this please
jenyasd209 [6]

Answer:

Step-by-step explanation:

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5 0
2 years ago
In a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer
stira [4]

Answer:

We conclude that 80% of patients stop smoking when given sustained care.

Step-by-step explanation:

We are given that in a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer smoking after one month.

Let p = <u><em>percentage of patients stop smoking when given sustained care.</em></u>

So, Null Hypothesis, H_0 : p = 80%     {means that 80% of patients stop smoking when given sustained care}

Alternate Hypothesis, H_A : p \neq 80%     {means that different from 80% of patients stop smoking when given sustained care}

The test statistics that would be used here <u>One-sample z test for proportions</u>;

                        T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of patients who stop smoking when given sustained care = 80.2%

           n = sample of patients = 192

So, <u><em>the test statistics</em></u>  =  \frac{0.802-0.80}{\sqrt{\frac{0.802(1-0.802)}{192} } }

                                     =  0.07

The value of z test statistics is 0.07.

<u></u>

<u>Also, P-value of the test statistics is given by the following formula;</u>

                P-value = P(Z > 0.07) = 1 - P(Z \leq 0.07)

                              = 1 - 0.52790 = 0.4721

<u>Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that 80% of patients stop smoking when given sustained care.

8 0
3 years ago
The average weekly salary of two employees is $750. One makes $200 more than the other. Find their salaries.
Anit [1.1K]
So first we start with division:

$750 divided by 2 equals $375.

Since one employee gets more than the other, we need to add more onto his/her salary.

So, next is addition.

$375 plus $200 equals $575.

So, one employee makes $375 while the other has an increase in his salary, so they get paid $575.

Hope I helped you!
8 0
3 years ago
Read 2 more answers
What is 5 3/4 as a decimal?
ziro4ka [17]

Answer:

5.75

Step-by-step explanation:

5 \frac{3}{4}  =  \frac{5 \times 4 + 3}{4}  = \frac{20 + 3}{4}   =  \frac{23}{4}  = 5.75  \\

7 0
3 years ago
PLEASE HELP Adam has a rectangular swimming pool. He fills it with water to a depth of 5 feet. The water has a VOLUME of 1200 cu
PSYCHO15rus [73]

Step-by-step explanation:

Given that,

The depth of the pool is, h = 5 feet

Volume of the pool, V = 1200 cubic feet

We need to find the possible values for the dimensions of the pool. We know that the volume of a rectangle is given by :

V=lbh

Where

l and b are length and breadth

So,

lb=\dfrac{V}{h}\\\\lb=\dfrac{1200}{5}\\\\lb=240

The first possibillity for dimension is (10×24). Another can be (12×20).

6 0
2 years ago
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