A new gold phone has different prices for different types....

Which type of factoring is used to factor the following expression: 2x^2 + 7x- 30

svetlana [45]

Answer:

(2x - 5) • (x + 6)

7 0

3 years ago

A business school has a goal that the average number of years of work experience of its MBA applicants is more than three years.

gizmo_the_mogwai [7]

Answer:

$z=\frac{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280$

$p_v =P(z>0.280)=0.390$

If we compare the p value and the significance level assumed $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its NOT significant higher than 0.3 at 1% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=3.1$ represent the sample mean

$\sigma=\sqrt{6}$ represent the sample standard deviation for the sample

$n=47$ sample size

$\mu_o =3$ represent the value that we want to test

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

t 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 mean is higher than 3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3$

Alternative hypothesis: $\mu > 3$

If we analyze the size for the sample is > 30 and we know the population deviation so 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:

$z=\frac{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280$

P-value

Since is a one side test the p value would be:

$p_v =P(z>0.280)=0.390$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its NOT significant higher than 0.3 at 1% of signficance.

3 0

3 years ago

(02.02 MC) Triangle ABC is shown. A is at negative 2, 1. B is at negative 1, 4. C is at negative 4, 5. If triangle ABC is reflec

Bezzdna [24]

Given:

The vertices of a triangle ABC are A(-2,1), B(-1,4) and C(-4,5).

Triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees.

To find:

The point B'.

Solution:

If a figure reflected over x-axis, then

$(x,y)\to (x,-y)$

$B(-1,4)\to B_1(-1,-4)$

If a figure reflected over y-axis, then

$(x,y)\to (-x,y)$

$B_1(-1,-4)\to B_2(-(-1),-4)$

$B_1(-1,-4)\to B_2(1,-4)$

If a figure rotated 180 degrees about the origin, then

$(x,y)\to (-x,-y)$

$B_2(1,-4)\to B'(-(1),-(-4))$

$B_2(1,-4)\to B'(-1,4)$

So, the coordinate of point B' are (-1,4).

Therefore, the correct option is A.

6 0

2 years ago

12. If 5t + 2 = 6, then t =

tankabanditka [31]

It would be t=0.8, mainly bc you subtract two from six , that reduces it to four
then you divide four by five and it should give you your answer
and to chack your work put .8 where t was and solve

6 0

3 years ago

Read 2 more answers

While mining Fred found a large metal bar that contained 24 ounces of nickel. Fred also determined that the bar was 80% nickel.

frutty [35]

Answer:

Not that I'm a chemistry expert but mathematically,The total weight of the bar is directly proportional to the known weight of the bar and the given percentage. I worked it out and found that the the total weight of the bar is 30 ounces. This is how I did it

Step-by-step explanation:

80:24

100:n

80(n)=100×24

A little equation and after it's solve the variable (n) will be equal to 30

The unit is added after calculations so that's how the answer is 30 ounces

8 0

3 years ago