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3 years ago

What is the speed of a bus that travels 250 km in 2 hours

2 answers:

Ber [7]3 years ago

8 0

The speed of a bus that travels 250 km in 2 hours is 145 because you have to divide 250 km and 2 hours which gives 145.

Hope this helps:)

mr_godi [17]3 years ago

3 0

If you want to know in km then its 125 per hour

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1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a t

antiseptic1488 [7]

Answer:

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Step-by-step explanation:

For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A certain performer has an independent .04 probability of a crash in each race.

This means that $p = 0.04$

a) What is the probability she will have her first crash within the first 30 races she runs this season

This is:

$P(X \geq 1) = 1 - P(X = 0)$

When $n = 30$

We have that:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061$

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

7 0

2 years ago

Madison buys supplies so she can make and sell wind chimes. She begins

Studentka2010 [4]

<h3>Explanation:</h3>

In the graph x-coordinate represents the number of wind chimes sold and y-coordinate represents the profit Madison earned. If a point is below the x-axis, means it has negative y-coordinate than it represents loss. Points above x-axis should have x-coordinate more than 6 as stated in the question that she started earning profit after selling her first 6 wind chimes. All the points having x-coordinate less than 6 should lie on or below the x-axis.

By the above statement point B is completely wrong. Point C and Point A are also wrong as they both x-coordinate more than 6 but still they are below x-axis.

Point D is the makes most sense here as it has x-coordinate more than 6 and it is above x-axis. This means that when Madison sold 7 wind chimes she was in a profit of $3.75.

5 0

2 years ago

Read 2 more answers

Find the point(s) of intersection (if any) of the plane and the line. Also, determine whether the line lies in the plane. 2x - 2

s2008m [1.1K]

Answer:

the intersection is the point P=(x,y,z)=(8,9,14) and the line does not lie in the plane

Step-by-step explanation:

from the equation of the line

x - 1/2 = y + (3/2)/-1 = (z + 1) / 2 = t (parameter)

then the parametric equation of the line is

x= 1/2 +t

y = (3/2) + t

z = (-1) + 2*t

therefore from the equation of the plane

2x - 2y + z = 12

2*(1/2 +t) - 2[(3/2) + t] + [(-1) + 2*t] = 12

1+2*t - 3 -2*t -1 + 2*t = 12

-3 + 2*t = 12

t= 15/2

therefore there is only one intersection of the line with the plane ( then the line does not lie in the plane , since there would be infinite intersection points). The intersection is

x= 1/2 +t = 1/2 +15/2 = 8

y = (3/2) + t = (3/2) + 15/2 = 9

z = (-1) + 2*t = (-1) + 2*15/2 = 14

thus the intersection point P=(x,y,z)=(8,9,14)

7 0

3 years ago

Which of the following is equivalent to the expression below? 42^x/6^x

Tasya [4]

The answer is D because 42 / 6 = 7 and the power ( ^X) can cancel out each other

4 0

3 years ago

What is the image point of (4,−7) after a translation right 4 units and up 5 units?

Liono4ka [1.6K]

Answer:

(8, - 2 )

Step-by-step explanation:

A translation of 4 units right means add 4 to the x- coordinate

A translation of 5 units up means add 5 to the y- coordinate

(x, y ) → (x + 4, y + 5 ) ← translation rule, then

(4, - 7 ) → A'(4 + 4, - 7 + 5 ) → A'(8, - 2 )

5 0

3 years ago