226 IN EXPANDED FORM

How to solve for x and y? Cant figure out how to make an equation?

Nady [450]

8y-4x=2x+12y
x+2y+8y-4x=180
10y-3x=180
x+2y+2x+12y=180
14y+3x=180
24y=360
y=15
8(15)-4x=2x+12(15)
120-4x=2x+180
120=6x+180
-60=6x
x=-10

7 0

3 years ago

Granola Crunch cereal is packaged in 1 pound boxes. Susan Torres, a quality control analyst who works for the manufacturer of th

sineoko [7]

Answer:

$z=\frac{1.02-1}{\frac{0.04}{\sqrt{40}}}=3.162$

$p_v =2*P(z>3.162)=0.0016$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, so we can conclude that the true mean is different from 1 pound at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=1.02$ represent the sample mean

$\sigma=0.04$ represent the population standard deviation

$n=40$ sample size

$\mu_o =1$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is equal to 1 pound or no :

Null hypothesis: $\mu =1$

Alternative hypothesis: $\mu \neq 1$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{1.02-1}{\frac{0.04}{\sqrt{40}}}=3.162$

P-value

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

$p_v =2*P(z>3.162)=0.0016$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, so we can conclude that the true mean is different from 1 pound at 5% of signficance.

5 0

3 years ago

Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and find that the damage index depends on

jarptica [38.1K]

The correct answer for the question that is being presented above is this one: "<span>A) The temperature only adds 14 to the damage index." </span>Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and find that the damage index depends on the ambient temperature.

7 0

4 years ago

Read 2 more answers

Please help will give brainliest

beks73 [17]

Answer:

4

Step-by-step explanation:

The sum of the measures of all interior angles in triangle is always equal to 180°. So,

∠A+∠B+∠C=180°

∠B=180°-63°-49°=68°

Now use the sine rule:

$\dfrac{c}{\sin \angle C}=\dfrac{b}{\sin \angle B}\\ \\\dfrac{3}{\sin 49^{\circ}}=\dfrac{b}{\sin 68^{\circ}}\\ \\b=\dfrac{3\sin 68^{\circ}}{\sin 49^{\circ}}\approx 3.685\approx 4$

5 0

3 years ago

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. 2 – 11x2 – 8x + 6x 2

mixas84 [53]

-5x^2-8x+2 its a trinomial and its degree is 2

4 0

3 years ago