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3 years ago

Mike drives 110 miles in 4 hours what his rate of change

Mathematics

1 answer:

Anna71 [15]3 years ago

6 0

Answer:

The rate of change is 27.5 miles per hour

Step-by-step explanation:

Given:

Distance driven by mike = 110 miles

Time taken by mike to drive 110 miles = 4 hours

To Find:

Rate of change=?

Solution:

The rate of change is also known as speed . Here we have to find the speed at which the mike drives

So we know that

$Speed =\frac{Distance }{Time}$

Substituting the values

Speed = $\frac{110}{4}$

Speed =27.5

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7. Write a paragraph proof of theorem 3-8: in a plane, if two lines are perpendicular to the same line, then they are parallel t

aliina [53]

Step-by-step explanation:

Assume that two lines x and y are perpendicular to the line z.

+) x intersects z at point A => Angle A1 = 90°

+) y intersects z at point B => Angle B1 = 90°

As it can be seen from the figure that Angle A1 and Angle B1 are corresponding angles and they are congruent.

According to the corresponding angle theorem, when two parallel lines are cut by a transversal, the pair of corresponding angles are congruent and vice versa, when two lines are cut by the same line and the pair of corresponding angles are congruent, they are parallel.

=> x and y are parallel.

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3 years ago

What is the point-slope form of a line that has a slope of 3 and passes through the point (-1, 4)?

Keith_Richards [23]

Answer:

Step-by-step explanation:

hello :

the point-slope formula is :

y - y_1 = m(x - x_1) the point is A(x_1 , y_1 ) , m : the slope

in this exercice : x_1 = -1 y_1 = 4 m = 3

so : y - 4 = 3(x +1) ...an equation for this line .

5 0

3 years ago

Read 2 more answers

A museum conducts a survey of its visitors in order to assess the popularity of a device which

Natali5045456 [20]

Answer:

The appropriate null hypothesis is $H_0: p \geq 0.2$

The appropriate alternative hypothesis is $H_1: p < 0.2$

The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.

ii:

The p-value of the test is 0.1057

Step-by-step explanation:

Question i:

The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it.

At the null hypothesis, we test if the proportion is of at least 20%, that is:

$H_0: p \geq 0.2$

At the alternative hypothesis, we test if the proportion is less than 20%, that is:

$H_1: p < 0.2$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

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

0.2 is tested at the null hypothesis:

This means that $\mu = 0.2, \sigma = \sqrt{0.2*0.8} = \sqrt{0.16} = 0.4$ .

The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors, 15 chose to use the device.

This means that $n = 100, X = \frac{15}{100} = 0.15$

Test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.15 - 0.20}{\frac{0.4}{\sqrt{100}}}$

$z = -1.25$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.

Looking at the z-table, z = -1.25 has a p-value of 0.1057.

The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.

Question ii:

The p-value of the test is 0.1057

7 0

3 years ago

Write x^3/2 in radical form

stiv31 [10]

Answer:

Step-by-step explanation:

I think you meant x^(3/2). This breaks down in at least two ways:

[x^3]^(1/2), or √(x^3)m or √x³), or

[x^(1/2)]^3 = (√x)^3

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3 years ago

Find the area of the shaded regions:

White raven [17]

Answer:

41 Degrees

Step-by-step explanation:

So basically you add the 72 and the other 72 to get 148.You obviously know the angle in between 72 and 72 is a right angle or 90 degrees.Then you add 148 and 90 to get 238.Then 360 - 238 is 122.Now you know all the angles.So we have to ask ourselves what is 148/360 simplified.It is 37/90.Now that we know that and we know that the radius is 10.We have to find the regular area which is 10 times 10 which is 100.Finally we need to figure out what part of 100 is 37/90 and it is 41.111111111111.Rounded it is 41.

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3 years ago

Read 2 more answers