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3 years ago

Is it a, b , c , or d?

Mathematics

1 answer:

IrinaVladis [17]3 years ago

5 0

The line has a positive slope. Let's look at all the slopes:

1) -3

2) -3

3) 3

4)3

Which ones are positive? That's right, 3 and 4. We don't know which equation would be the equation of the line. That's where the other information comes in.

The line intersects the y-axis at at a point that has a negative y-coordinate. Lets write the last two equations in slope-intercept form.

1) y = -3/2x - 5/2

2) y = -3/2x + 5/2

We have to graph both of the lines now. The graphs are at the very bottom. Take a look at them. In the first one, the y-intercept is a negative and in the second one, the y-intercept is positive.

The third one AKA 3x + 2y = -5 is the equation of the line. I hope this helps! Let me know if I got it wrong or if you need any more help.

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A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life

alisha [4.7K]

Answer:

The null hypothesis is $H_0: \mu \leq 10$

The alternative hypothesis is $H_1: \mu > 10$

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

$H_0: \mu \leq 10$

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

$H_1: \mu > 10$

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

10 is tested at the null hypothesis:

This means that $\mu = 10$

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that $n = 45, X = 10.5, s = 1.8$

Then

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}$

$t = 1.86$

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

5 0

2 years ago

In 1940 you could buy a soda for 5 cents. Today the average cost of the same size soda is $1.25. What is the percent of increase

svlad2 [7]

Answer:

2400%

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

18. Two planes left an airport at the same time. One flew north at a set speed and the other

Andre45 [30]

Answer: plane A = 333.33mph

Plane B = 500mph

Step-by-step explanation:

Given data:

Distance between the two planes = 2400miles.

Plane A flew North

Plane B flew south

Solution:

Let v represent plane A.

Let 2v represent plane B.

Distance between the two plane

v + 1.5* v = 3*v

7.5v = 2500miles

v = 333.33mph

Plane B has one and half times the speed of plane A

= 1.5 * 333.33

= 500mph

4 0

3 years ago

Place the indicated product in the proper location on the grid.<br><br> За^2 x 2а^3

AlekseyPX

Answer:

when i got the answer i got 12a^25

Step-by-step explanation:

i dont know if this helps

8 0

2 years ago

In his garden Tim plants the seed

NemiM [27]

Answer:

2 1/2 in.

Step-by-step explanation:

6 - 3 1/2 this is the answers

3 0

3 years ago

Is it a, b , c , or d?​

Is it a, b , c , or d?