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olga nikolaevna [1]
3 years ago
9

John often speed while driving to school in order to arrive on time. The probability that he will speed to school is 0.75. If th

e probability that he speeds and gets stopped by a police officer is 0.25. Find the probability that he is stopped, given that he is speeding.
Mathematics
1 answer:
BartSMP [9]3 years ago
3 0

Answer:

0.33

Step-by-step explanation:

Given the following :

P(speeding) = p(s) = 0.75

P(being stopped) = p(t)

P(speeding and gets stopped) = p(s n t) = 0.25

Find the probability that he is stopped, given that he is speeding is written as P(t | s) ;

P(t | s) = p(s n t) / p(s)

P(s n t) = 0.25

P(s) = 0.75

Hence,

P(t | s) = 0.25 / 0.75

P(t | s) = 0.33

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Which method do you prefer: the slope-intercept form y = mx + b or the point-slope form y - y1= m(x - x1)? Explain in a brief pa
Ad libitum [116K]

Answer:

Step-by-step explanation:

y=mx + b is easier to solve for when you need to find slope intercept form. If you have your y and mx you can figure out what your b is.

4 0
3 years ago
A student wants to determine whether or not a value in her data is an outlor. She has calculated Q, 4, median 5, and Q, - 10. Wh
daser333 [38]

Answer:

14

Step-by-step explanation:

Although the typing has some typographical issues. We could extract the following:

First quartile (Q1 => 0.25) = 4

Second quartile/median (Q2 => 0.50) = 5

Third quartile (Q3 => 0.75) = 10.

The upper fence (maximum):

       ==>[Q3 + Q1] = 10+4 = 14.

NB: If all our assumed values from the question are correct!

5 0
3 years ago
The length of a table is 14 inches more than its width. if the area of the table is 792 square inches, what is its length?
Softa [21]
A = l x w
l = w+14

792 = w +14 x w
792 = w² +14w
w² +14w-792=0
w= -36 w=22
You can't have a negative length so the width = 22
Length = 22+14
Length = 36 inches

7 0
3 years ago
identify an equation in point-intercept form for the line parallel to y = -3x + 7 that passes through (2, -4)
Natali5045456 [20]
Let's organize.
The question says to <u>identify</u> an <u>equation in point-intercept form</u> for the <u>line</u> that's <u>parallel</u> to y = -3x + 7 that <u>passes through</u><u /> (2, -4).

If you need to find an equation in point-intercept form that passes through a point, you will substitute the coordinate in this formula:

-> y - yo = m (x - xo)

Where:

(2, -4) -> xo = 2 ; yo = -4
m = Slope

You don't have the slope, but you have the information that the line is <u>parallel</u> to <u />y = -3x + 7. Then you need to know that to a line be <u>parallel to another</u> the Slopes of each other must be equal, mr = ms.

Let's find the slope of the equation given, it is in a slope-intercept form, so:

y = mx + b

R: y = -3x + 7     // I will call this one R line, and the other S.

mr = -3

If the mr = ms, and mr = -3, then the ms = -3 too.

S: y - yo = ms (x - xo) // (2, -4) & ms = -3

-> 
y - (-4) = -3 (x - 2)
-> S: y + 4 = -3 (x - 2) -> This is the point-slope form.


-> 
y = -3x + 6 - 4
-> S: y = -3x - 2 -> This is the slope-intercept form.

I didn't understand what is the point-intercept form that the question requests, but by logic, i think that's the point-slope form.

Answer: The equation in point-intercept form is: y + 4 = -3 (x - 2).
5 0
3 years ago
What is the value of b2 - 4ac for the following equation? x 2 + 5x + 4 = 0
MaRussiya [10]
Answer is 9 see photo

4 0
3 years ago
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