Evaluate the following expression for y=-3 and k=2

Question 4 Multiple Choice Worth 1 points (07.03 LC) Factor completely 2x2 + 2x - 12.

tresset_1 [31]

Look at the attached picture⤴

Hope this will help u...✌

3 0

3 years ago

Because of the commutative property of multiplication, it is true that

dangina [55]

¾ + ¾ + ¾ + ¾ = (3+3+3+3)/4 = 12/4 = 3

¾ × 4 = (3 × 4)/4 = 12/4 = 3

8 0

3 years ago

An advertisement claims that Fasto Stomach Calm will provide relief from indigestion in less than 10 minutes. For a test of the

nalin [4]

Answer:

$z=\frac{9.25-10}{\frac{2}{\sqrt{35}}}=-2.219$

$p_v =P(z$

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 reject the null hypothesis, so we can conclude that the true mean is significantly lower than 10 minutes.

Step-by-step explanation:

Data given and notation

$\bar X=9.25$ represent the sample mean

$\sigma=2$ represent the population standard deviation

$n=35$ sample size

$\mu_o =10$ 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 mean is less than 10 minutes, the system of hypothesis would be:

Null hypothesis: $\mu \geq 10$

Alternative hypothesis: $\mu < 10$

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:

$z=\frac{9.25-10}{\frac{2}{\sqrt{35}}}=-2.219$

P-value

Since is a left tailed test the p value would be:

$p_v =P(z$

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 reject the null hypothesis, so we can conclude that the true mean is significantly lower than 10 minutes.

6 0

4 years ago

a flagpole casts a shadow 160 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long.

Veronika [31]

Answer:

The flagpole is 40 feet tall.

Step-by-step explanation:

So, we are looking for the height of the flagpole. Let h represent this height.

Boy - 5 feet in height and casts a 20-foot shadow

Flag pole - h feet in height and casts a 160-foot shadow

The relationship looks something like this:

5 : 20 :: h : 160

or

$\frac{5}{20} =\frac{h}{160}$

Now, we can cross multiply to find h!

$20h=800\\h=40$

So, the flagpole is 40 feet tall

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3 0

3 years ago

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Which of the following graphs represent the equation y=3x+2

seropon [69]

Answer:You haven't attached a picture but this is what your line should look like

Step-by-step explanation:

For this equation you simply have to graph it.

First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.

Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.

Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.

Hope this helps a bit,

Flips

3 0

4 years ago

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