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zlopas [31]
3 years ago
15

Factor the four term polynomial by grouping.10x^3-15x^2+6x-9​

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0

Answer:

(5x²  + 3) (2x-3)

Step-by-step explanation:

10x³ - 15x² + 6x - 9   (rearrange)

10x³+ 6x - 15x²  - 9  (group using parentheses)

(10x³+ 6x) - (15x²  + 9)  (factor out 2x from first term and 3 from second term)

2x (5x²+ 3) - 3(5x²  + 3)   (factor out (5x²+3) )

(5x²  + 3) (2x-3)  (answer)

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Mathematics, what's the answer?
sleet_krkn [62]

Answer:

-5

Step-by-step explanation:

The answer is -5 because when you take 3+9 you get 12 and then it says divide that by 3 which then equals 4 then subtract it by 9 which gives you the answer -5.

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5 0
2 years ago
Find the 3rd term in (x-9)^7
Llana [10]

Answer:

The 3rd term would be the parenthesis to the 7th power.

8 0
2 years ago
A(7x+3)=14x+b<br> What are the values of A and B?
Likurg_2 [28]

Answer:

24

Step-by-step explanation:

I think there the same for each but I hope I helped

5 0
3 years ago
Refer to the following scenario:You want to see if there is a difference between the exercise habits of Science majors and Math
bekas [8.4K]

Answer:

1. H0: P1 = P2

2. Ha: P1 ≠ P2

3. pooled proportion p = 0.542

4. P-value = 0.0171

5. The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

6. The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

Step-by-step explanation:

We should perform a hypothesis test on the difference of proportions.

As we want to test if there is significant difference, the hypothesis are:

Null hypothesis: there is no significant difference between the proportions (p1-p2 = 0).

Alternative hypothesis: there is significant difference between the proportions (p1-p2 ≠ 0).

The sample 1 (science), of size n1=135 has a proportion of p1=0.607.

p_1=X_1/n_1=82/135=0.607

The sample 2 (math), of size n2=92 has a proportion of p2=0.446.

p_2=X_2/n_2=41/92=0.446

The difference between proportions is (p1-p2)=0.162.

p_d=p_1-p_2=0.607-0.446=0.162

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{82+41}{135+92}=\dfrac{123}{227}=0.542

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.542*0.458}{135}+\dfrac{0.542*0.458}{92}}\\\\\\s_{p1-p2}=\sqrt{0.001839+0.002698}=\sqrt{0.004537}=0.067

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.162-0}{0.067}=\dfrac{0.162}{0.067}=2.4014

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

\text{P-value}=2\cdot P(z>2.4014)=0.0171

As the P-value (0.0171) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

We want to calculate the bounds of a 99% confidence interval of the difference between proportions.

For a 99% CI, the critical value for z is z=2.576.

The margin of error is:

MOE=z \cdot s_{p1-p2}=2.576\cdot 0.067=0.1735

Then, the lower and upper bounds of the confidence interval are:

LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.162-0.1735=-0.012\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.162+0.1735=0.335

The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

6 0
3 years ago
Solve the following:<br><br> 1 - .008 =
kykrilka [37]

Answer:

0.992

Step-by-step explanation:

do you not have a calculator

3 0
2 years ago
Read 2 more answers
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