P(x)=(2x^2-9x+7)(x-2)

Find the slope of the line (4,0) (9,11) Help plsss!!!!

guapka [62]

11/5 is what I got I hope it’s correct

5 0

3 years ago

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A cube has a volume of 8 000 000 cm³.

Rus_ich [418]

The length of it's side and surface area is 2 meters and 24 meters square respectively

<h3>How to determine the parameters</h3>

The formula for calculating the volume of a cube is given as;

Volume = a^3

Where a is the length of it's side

Now, let's substitute the volume into the formula, we have

8000000 = a^3

Let's find the cube root of both sides

cube root of 8000000 = 200

cube root of a^3 = a

Then, we have

a = 200cm

The length of it's side in meters

= 200/100

= 2 meters

Surface area = 6a^2

Surface area = 6 × 2^2

Surface area = 6 × 4

Surface area = 24m ^2

Thus, the length of it's side and surface area is 2 meters and 24 meters square respectively.

Learn more about a cube here:

brainly.com/question/1972490

#SPJ1

4 0

2 years ago

Y= -2x + 15<br> y= -2(x-2)2 + 35

barxatty [35]

Answer:

(x, y)=(301 43)

( ---- , ---)

( 29 29)

Step-by-step explanation:

4 0

3 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

4 years ago

NEED THE ANSWER ASAP PLEASE

Elan Coil [88]

Answer:

y=1/2x-3

gradient = 1/2

also should satisfy the given coordinates

6 0

4 years ago

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