What is the slope of the line shown below?

Match the polynomial on the left with the appriately factored expression on the right x^2-3x-18

Lapatulllka [165]

The factored expression of the polynomial expression given as: x^2 - 3x - 18 is (x + 3)(x - 6)

<h3>How to match the polynomial?</h3>

The polynomial expression is given as:

x^2 - 3x - 18

Express -3x as 3x - 6x

So, we have:

x^2 + 3x - 6x - 18

Factorize the polynomial expression

x(x + 3) - 6(x + 3)

Factor out x + 3

(x + 3)(x - 6)

Hence, the factored expression of the polynomial expression given as: x^2 - 3x - 18 is (x + 3)(x - 6)

Read more about expressions at:

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8 0

1 year ago

A high school coach wants to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $

Aleksandr [31]

If $200 is the maximum a coach can spend on new shorts, and needs at least 15 shorts, then you could divide or use an inequality. first take the maximum number (200) and the minimum amount (15s) and use the minimum and maximum signs of knowledge to form an inequality. you should end up with 15s<200.

3 0

3 years ago

Read 2 more answers

A bag contains 3 blue marbles, 1 green marble, and 4 orange marbles. A marble is pulled out of the bag at random. The probabilit

Ainat [17]

Answer:

3\49857

Step-by-step explanation:

7 0

2 years ago

Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i

Nina [5.8K]

Answer:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

Step-by-step explanation:

Data given and notation

$X_{1}=253$ represent the number with no defects in sample 1

$X_{2}=196$ represent the number with no defects in sample 1

$n_{1}=300$ sample 1

$n_{2}=300$ sample 2

$p_{1}=\frac{253}{300}=0.843$ represent the proportion of number with no defects in sample 1

$p_{2}=\frac{196}{300}=0.653$ represent the proportion of number with no defects in sample 2

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

$\alpha=0.05$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference in the the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} - p_2}=0$

Alternative hypothesis: $p_{1} - p_{2} \neq 0$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{253+196}{300+300}=0.748$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

5 0

3 years ago

Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 97 minutes. Billy could mow the lawn by himself in

s2008m [1.1K]

Answer:

52 minutes i think im not sure i'm not in high school

Step-by-step explanation:

5 0

2 years ago