Explain what you can tell just by comparing the symbols in a picture graph

Simplify 5(x - 6).<br> 5x - 6<br> 0 5x - 30

Lesechka [4]

Answer:

It depends on what property you use

Step-by-step explanation:

If you use the distributive property then you would get 5x-30

If you factor you would get 5(x-6)

4 0

3 years ago

A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of carton

IgorLugansk [536]

Answer:

Step-by-step explanation:

a) The null hypothesis states that

The production line operation fills cartons with laundry detergent to a mean weight of 32 ounces.

H0 : µ = 32

The alternative hypothesis states that

The production line operation overfills or under fills cartons with the laundry detergent to a mean weight of above or below 32 ounces.

Ha : µ ≠ 32

b) when the calculations are done and the p value is determined, then it would be compared with the level of significance

When the significance level is lesser than the p value, we do not reject H0 because there is no sufficient evidence to conclude that the production line operation overfills or under fills cartons.

c) When the significance level is greater than the p value, we would reject H0 because there is sufficient evidence to conclude that the production line operation overfills or under fills cartons.

4 0

3 years ago

Darren is on a super efficient diet. He started with 210 pounds 2 months ago and he now weighs 150 pounds . Find his percent of

ikadub [295]

Answer:

29%

Step-by-step explanation:

210-150/210 = 60/210 or 6/21

Now we have to find the percent out of 100 so we have to find out 100/21 to see what we have to multiply by to get to 100 so we can do the same with the 2 (numerator) so 1000/21= 4 16/21

then we have to multiply the 6 by 4 16/21 which is about 29%

8 0

3 years ago

What value of k will result in the quadratic having one rational solution if 4x2+kx+4=0?

PtichkaEL [24]

The value of 'k' in the quadratic Equation $4x^{2}+kx+4=0$ having one rational solution is k is 8.

<h3>What is a Quadratic Equation?</h3>

Quadratic equations are the polynomial equations of degree 2 in one variable of the type $f(x) = ax^{2} + bx + c = 0$ where a, b, c, ∈ R and a ≠ 0.
The standard form of a quadratic equation is $ax^{2} + bx + c = 0$ .

Here, the given equation is $4x^{2}+kx+4=0$

By comparing the given equation with the standard form of the quadratic equation we get,

a = 4

b = k

c = 4

The given quadratic is having one rational solution, which means $b^{2} -4ac=0$

Therefore,

$k^{2} -4 \times 4\times4=0\\k^{2} -64=0\\k^{2} =64\\k=\sqrt{64} \\k=8$

Therefore, the value of k is 8.

Learn more about the quadratic equation is brainly.com/question/8649555

#SPJ4

7 0

2 years ago

A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain area who favor m

Dominik [7]

Answer:

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The width of the interval is:

$W = 2z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this sample:

Two 90% intervals, with different lenghts. So both have the same values for z an $\pi$

Interval A:

9000 viewers.

So the width is

$W_{A} = 2z\sqrt{\frac{\pi(1-\pi)}{9000}}$

Interval B:

100 viewers

So the width is

$W_{B} = 2z\sqrt{\frac{\pi(1-\pi)}{1000}}$

Relationship between the widths:

$R = \frac{W_{A}}{W_{B}} = \frac{2z\sqrt{\frac{\pi(1-\pi)}{9000}}}{2z\sqrt{\frac{\pi(1-\pi)}{1000}}} = \frac{\sqrt{1000}}{\sqrt{9000}} = \frac{\sqrt{1}}{\sqrt{9}} = \frac{1}{3}$

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.

8 0

3 years ago