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saul85 [17]
3 years ago
14

Martin is seating people in the cars of a roller coaster. Each car can seat 8 people. Six of the roller coaster cars are yellow

and nine of the roller coaster cars are green. People will be randomly seated in the roller coaster cars. What is the probability that the first person will be seated in a yellow roller coaster car?
Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer:

The probability is 2/5

Step-by-step explanation:

Here, we want to calculate the probability that the first person will sit in a yellow roller coaster car

The number of cars to select from is 6 + 9 = 15 cars

The number of yellow cars is 6

So the probability that the first person selects a yellow roller coaster car to seat is 6/15 = 2/5

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Find the slope of the function f ( x ) = 3 - 2 x , by the definition of limit.
musickatia [10]

Answer:

the slope is -2\lim_{n \to \0}( f(x+h)-F(x)) /h \\\\ \lim_{n \to \0} (3-2(x+h)-(3-2x))/h\\ f(x+h)= 3-2(x+h) \\f(x)=3-2x\\ \\\lim_{n \to \0}  (3-2x-2h-3+2x)/h\\\\ \lim_{n \to \0} -2h/h\\  \\ \lim_{n \to \0} -2\\=-2\\\\In all limits, you have to put n goes to 0 (zero)

Step-by-step explanation:

8 0
3 years ago
WRITE AN EQUATION TO DESCRIBE THE RELATIONSHIP BETWEEN J AND Mj | 4 | 12 | 20m | 3 | 9 | 15
galina1969 [7]

First, we can use the points (4,3) and (20,15) to find the slope of the line:

\begin{gathered} s=\frac{m_2─m_1}{j_2─j_1}=\frac{15─3}{20─4}=\frac{12}{16}=\frac{3}{4} \\ s=\frac{3}{4} \end{gathered}

Now we can find the relation function using the point (4,3) and the slope s=3/4

\begin{gathered} m─m_1=s(j─j_1) \\ \Rightarrow m─3=\frac{3}{4}(j─4)=\frac{3}{4}j─(\frac{12}{4})=\frac{3}{4}j─3 \\ m=\frac{3}{4}j \end{gathered}

therefore, the equation to describe the relationship between J and M is m=3/4j

4 0
1 year ago
4 divided by what = 9
vfiekz [6]
It 36 hope i helped!!


Assume answer as x;

x÷4=9 or x4=9

Multiply 9 with 4;

x=9×4

x=36

3 0
3 years ago
Read 2 more answers
Find f(x) and g(x) so the function can be expressed as y = f(g(x)).<br><br> y =8/x^ + 4
Elena-2011 [213]

<span>f(x) and g(x) are </span>2(x + 2) and 4x² respectively so that the function can be expressed as y = f(g(x)). I am hoping that these answers have satisfied your query and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

4 0
3 years ago
The variance of a stock's returns can be calculated as the:
Tamiku [17]

Answer:

The correct option is b.

Step-by-step explanation:

The formula for standard deviation is

\sigma^2=\frac{\sum {(x-\overline{x})^2}}{n}

where, \overline{x} is mean of the data and n is number of observation.

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Variance of stock's returns is the average value of squared deviations from the mean.

Therefore the correct option is b.

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4 years ago
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