When writing fraction from a graph does the x axis number go on top or bottom

Suppose "35" cars start at a car race. In how many ways can the top 3 cars finish the race?

Thepotemich [5.8K]

Answer:

The value is $\left 35 } \atop }} \right. P_3 = 39270$

Step-by-step explanation:

From the question we are told that

The total number of cars is $n = 35$

The number cars considered is $r = 3$

Generally the number of different top three finishes possible for this race of 35 cars is mathematically represented as

$\left n } \atop }} \right. P_r = \frac{n!}{(n - r) !}$

$\left 35 } \atop }} \right. P_3 = \frac{35! }{(35 - 3) !}$

$\left 35 } \atop }} \right. P_3 = \frac{35 * 34 * 33 * 32! }{32 !}$

$\left 35 } \atop }} \right. P_3 = 39270$

7 0

3 years ago

Martin wants to use coordinate geometry to prove that the opposite sides of

romanna [79]

The correct answer is option A which is the distance between A and D will be AD = $\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b$ .

<h3>What is coordinate geometry?</h3>

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

The formula utilised to find the distance between two points is;-

X = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

We have the coordinates of the point A = (0, 0) and D is (0, b).By applying the formula to find the distance between A and D.

AD = $\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b$ .

Therefore the correct answer is option A which is the distance between A and D will be AD = $\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b$ .

To know more about Coordinate geometry follow

brainly.com/question/18269861

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4 0

2 years ago

In a recent survey, 72 out of 100 consumers reported that they preferred plastic bags instead of paper bags for their groceries.

kupik [55]

Answer:

a) P=0.03

b) α=0.05

c) 0.72

d) 100

e) 0.72

Step-by-step explanation:

a) The P-value is the probability of the sample result. In this case the P-value is 0.03.

b) The level of significance is the threshold of probabilty for the null hypothesis to be reejcted or not. It is contrasted with the P-value to know if the effect is significant. In this case, the level of significance is 0.05.

NOTE: if it is a two-side test, the level of significance is 0.1 (two times 0.05).

c) The sample proportion is the one that results from the sample data. In this case, the sample proportion is 0.72.

$p=72/100=0.72$

d) The sample size is the amount of consumers reported. In this case is 100 customers.

e) The null value is 0.72 (equal to the sample proportion), because it is tested if there is no difference between the population proportion and the sample proportion.

3 0

3 years ago

Solve the equation. 4n−18=52

Margaret [11]

How to solve this: (in case you need it)
4n-18=52
4n-18+18=52+18
4n=70
4n/4=70/4
n=35/2

6 0

3 years ago

Read 2 more answers

A business uses straight-line depreciation to determine the value y of an automobile over a 5-year period. Suppose the original

Elena-2011 [213]

For this problem. it is found that:

a) The automobile has depreciated 75% in 5 years.

b) The value of the automobile was reduced by $10,500 in five years.

c) The linear function is: s(t) = 14,500 - 2,100t.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = ax + b

In which:

a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the problem, we have that:

a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.

b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.

For the linear function, we have that:

The initial value is b = 14500.

The slope is of a = -10500/5 = -2100.

Hence the linear function is: s(t) = 14,500 - 2,100t.

More can be learned about linear functions at brainly.com/question/24808124

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6 0

2 years ago

When writing fraction from a graph does the x axis number go on top or bottom​

When writing fraction from a graph does the x axis number go on top or bottom