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suter [353]
3 years ago
14

1. If a car must have at least 2 passengers in order to be in the carpool lane on this highway, what is the probability that a r

andomly selected car is allowed to be in the carpool lane?
P(x>2) .15+.10+ .3+ .2= .30

2. Find the probability that a randomly  selected car on this highway has fewer than 4 occupants.

P(x<4)= p(x<3)=
.70+ .15+ .10= .95


3. Calculate the mean of this probability distribution.  Click on the tool "Insert Math Equation" in the toolbar above to write your answers using correct notation and round it to one more decimal than is contained in the data (type out your calculations).

E(x) is

1(x) p(1) + 2p(2) + 3p(3)+ 4p(4)+ 5p(5)
.70+.30+.30+.12+.10
=1-52



4. Explain what your answer to #3 means in the context of this problem.

Mean is the expected value and measure of tendency following is the probability of distribution

5. What shape would the probability histogram of this probability distribution have (you do not have to actually create or embed the histogram)?  Explain the meaning of this in context.  In other words, what does this tell you about the driving habits of most drivers on this highway?

Most drivers have more than 2 passengers while driving in the carpool lane on the freeway​
Mathematics
1 answer:
Elden [556K]3 years ago
7 0

Answer:

4

Step-by-step explanation:

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Varvara68 [4.7K]
You just substitute the value of x in the given equation:


f(x) = 2x^2 - 5

f(-4) = 2 (-4)^2 -5 = 27

f(x) : a name given to the equation
f(-4): refer to the equation when the value of the independent variable x has the value between the brackets.
5 0
3 years ago
Asap get brainliest please help me.​
Paha777 [63]

Answer:

3/1

Step-by-step explanation:

rise/ run or also slope formula with 2 coordinates(2,3 and 3,6) use the slope formula

5 0
3 years ago
Read 2 more answers
What is matrix X if 0.5X=A? Matrix A=[6 -12 4 6].
vladimir1956 [14]

Answer:

See attachment

Step-by-step explanation:

The given matrix equation is:

0.5X = A.

To find Matrix X, we need to multiply both sides of the equation by 2 to obtain:

2 \times 0.5X =2 \times  A

This simplifies to;

X = 2A

By scalar multiplication, we multiply each entry in the matrix A by to 2 to obtain matrix X.

6 0
3 years ago
What is the equation of the line perpendicular to 3x+y= -8that passes through -3,1? Write your answer in slope-intercept form. S
Gekata [30.6K]

Slope intercept form of a line perpendicular to 3x + y = -8, and passing through (-3,1) is y=\frac{1}{3} x+2

<u>Solution:</u>

Need to write equation of line perpendicular to 3x+y = -8 and passes through the point (-3,1).

Generic slope intercept form of a line is given by y = mx + c

where m = slope of the line.

Let's first find slope intercept form of 3x + y = -8

3x + y = -8

=> y = -3x - 8

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line 3x + y = -8 , slope m = -3  

And as the line passing through (-3,1) and is  perpendicular to 3x + y = -8, product of slopes of two line will be -1  as lies are perpendicular.

Let required slope = x  

\begin{array}{l}{=x \times-3=-1} \\\\ {=>x=\frac{-1}{-3}=\frac{1}{3}}\end{array}

So we need to find the equation of a line whose slope is \frac{1}{3} and passing through (-3,1)

Equation of line passing through (x_1 , y_1) and having lope of m is given by

\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)

\text { In our case } x_{1}=-3 \text { and } y_{1}=1 \text { and } \mathrm{m}=\frac{1}{3}

Substituting the values we get,

\begin{array}{l}{(\mathrm{y}-1)=\frac{1}{3}(\mathrm{x}-(-3))} \\\\ {=>\mathrm{y}-1=\frac{1}{3} \mathrm{x}+1} \\\\ {=>\mathrm{y}=\frac{1}{3} \mathrm{x}+2}\end{array}

Hence the required equation of line is found using slope intercept form

4 0
3 years ago
Why do you need to change the signs in -x^2+6x+m=0 ?
Goshia [24]

Answer:

It isn't necessary but having a positive coefficient for x^2 makes things like completing the square and factoring easier.

3 0
3 years ago
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