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Rama09 [41]
2 years ago
12

And this is the last one

Mathematics
1 answer:
vivado [14]2 years ago
7 0
The answer is P because the line after it (Q) shows that the cyclist stopped travelling because the distance travelled amount didn’t change ☺️
You might be interested in
Write a equation in slope intercept form of the line that passes through the given point and is perpendicular to the graph of th
soldi70 [24.7K]

Answer:

The perpendicular line would be y = -2x - 4

Step-by-step explanation:

First we must solve the original equation for y.

x - 2y = 7

-2y = -x + 7

y = 1/2x - 7/2

In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 2 = -2(x + 3)

y - 2 = -2x - 6

y = -2x - 4

3 0
3 years ago
it takes joey 1/16 of an hour to write one thank you card.How many thank you cards can he make in 3/4 of an hour?
devlian [24]
I hope this helps you

5 0
3 years ago
Solve for x in the equation x^2-4x-9=29
Kipish [7]
X = 2 + √42,2- √42
decimal form: 8.480741, -4.480741
sorry if my answer isn't right
5 0
3 years ago
The incenter is the center of the _______ circle of a triangle
blagie [28]

Answer:

In

Step-by-step explanation:

An incircle is a circle inside a triangle that touches all three sides of the triangle.

5 0
3 years ago
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
masya89 [10]

Answer:

z= \frac{3.44-2.54}{0.45}=2

P(X>3.44) = P(Z>2) = 0.025

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties

Where \mu=2.54 and \sigma=0.45

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

z= \frac{3.44-2.54}{0.45}=2

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

P(X>3.44) = P(Z>2) = 0.025

5 0
3 years ago
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