Simplify 4x + 7 + 11x

Determine the total number of roots of each polynomial function f(x)=3x^6+2x^5+x4-2x^3

Alisiya [41]

Answer:

6 roots

Step-by-step explanation:

f(x)=3x^6+2x^5+x4-2x^3

The number of roots is determined by the degree of the polynomial. They may be real or complex.

Since this is a 6th degree polynomial, it will have 6 roots

f(x)=3x^6+2x^5+x4-2x^3

3 0

3 years ago

Read 2 more answers

A bacteria culture begins with 8 bacteria which triple in size every week. How many bacteria exist in the culture after 4 weeks?

Anika [276]

The answer should be 648

4 0

2 years ago

Read 2 more answers

Use the given information to find the p-value. Also, use a 0.05 significance level and state the conclusion about the null hyp

Hatshy [7]

Answer:

We can assume that the statistic is $z_{calc}=0.78$

$p_v = 2* P(z>0.78) = 0.435$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

Step-by-step explanation:

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 3/5 or not.:

Null hypothesis: $p=3/5$

Alternative hypothesis: $p \neq 3/5$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

We can assume that the statistic is $z_{calc}=0.78$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v = 2* P(z>0.78) = 0.435$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

7 0

2 years ago

I need help with multi step inequalities

vodomira [7]

either

-(3x+3)-2x (less than) -4(x-2)-2

-3x+3-2x (less than) -4x +8-2

-5x+3 (less than)-4x+6

Or if you need it simplified

-5x +3 (less than) -4x+6

+4x 4x

-x+3 (less than) 6

-3 -3

-x(less than) 3

(-x/-1) Less than (3/-1)

x (less than) -3

(didnt have the less than greater than sign so typed it)

6 0

3 years ago

Please help me out with this question.

DIA [1.3K]

Answer:

Step-by-step explanation:

The final answer is -18. hope it helped.

3 0

3 years ago