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MariettaO [177]

3 years ago

15

PLEASE HELP ME ON THIS QUESTION I DONT GET IT

1 answer:

nikdorinn [45]3 years ago

4 0

The GCF is the first answer

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Which two values of x are roots of the polynomial below? x^2-3x+5

Gemiola [76]

Given:

Polynomial $x^2-3x+5$

To find:

The values of x.

Solution:

$x^2-3x+5=0$

Quadratic equation formula:

$$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here $a=1, b=-3, c=5$ .

Substitute the values in the formula, we get

$$x=\frac{-(-3) \pm \sqrt{(-3)^{2}-4 \cdot 1 \cdot 5}}{2 \cdot 1}$

$$x=\frac{3 \pm \sqrt{9-20}}{2}$

$$x=\frac{3 \pm \sqrt{-11}}{2}$

$$x=\frac{3 - \sqrt{-11}}{2} \ \text{and} \ x=\frac{3 + \sqrt{-11}}{2}$

Option E and option F are the roots of the polynomial.

The values of x are $x=\frac{3 - \sqrt{-11}}{2} \ \text{and} \ x=\frac{3 + \sqrt{-11}}{2}$ .

7 0

3 years ago

According to the National Institute on Drug Abuse, a U.S. government agency, 17.3% of 8th graders in 2010 had used marijuana at

miskamm [114]

Answer:

The conditions for use of the normal model to represent the distribution of sample proportion are not met. He should increase the sample size until the conditions are met.

If the test is done anyway, the null hypothesis failed to be rejected.

The conclusion is taht there is not enough evidence to support the claim that the percentage is lower in this district.

Step-by-step explanation:

The conditions for use of the normal model to represent the distribution of sample proportion are not met, as the affirmative responses are less than 10.

$np=80*0.1=8$

If the test of hypothesis is done as if the conditiones were met, we know that the claim is that the percentage is lower in this district.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.173\\\\H_a:\pi$

The significance level is 0.05.

The sample has a size n=80.

The sample proportion is p=0.1.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.173*0.827}{80}}\\\\\\ \sigma_p=\sqrt{0.001788}=0.042$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.1-0.173+0.5/80}{0.042}=\dfrac{-0.067}{0.042}=-1.578$

This test is a left-tailed test, so the P-value for this test is calculated as:

$P-value=P(z$

As the P-value (0.057) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the percentage is lower in this district.

7 0

3 years ago

everyday a person uses about 90 liters of water at home 6 gallons is about 23 liters about how many liters of water does a perso

Trava [24]

Answer:

90 liters

Step-by-step explanation:

It's given in the question!

3 0

1 year ago

-2, -1, -1, 0, -1, 1, 2, ...

Andrei [34K]

2,3,3,4
This is just anything right here

4 0

3 years ago

Read 2 more answers

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

hammer [34]

Answer: option d.

Step-by-step explanation:

If <em>y </em>varies directly as <em>x</em> and <em>z</em>, the form of the equation is:

$y=kxz$

Where<em> k</em> is the constant of variation.

If y=4 when x=6 and z=1 then substitute these values into the expression and solve for <em>k:</em>

$4=k(6)(1)\\4=6k\\k=\frac{4}{6}\\\\k=\frac{2}{3}$

<em> </em>Substitute the value of <em>k</em> into the expression. Then, the equation is:

$y=\frac{2}{3}xz$

To find the value of <em>y </em>when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:

$y=k=\frac{2}{3}(7)(4)$

$y(7,4)=\frac{56}{3}$

<em> </em>

5 0

3 years ago

Read 2 more answers