At a high school, the probability that a student is a senior is 0.20. The probability that a student plays a sport is 0.15. The probability that a student
IS a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
A. 0.33
B. 0.05
C. 0.25
D. 0.15
Answer:
Choice C
Step-by-step explanation:
Conditional Probability formula
P(B | A) = [tex]\frac{P(A and B)}{P(A)}[/tex]
P(B | A) = Probability of event B, given probability of event A
P( A and B) = Probability of event A and event B = 0.05
P(A) = Probability of event A = 0.20
P(B | A) = [tex]\frac{0.05}{0.20}[/tex]
P(B | A) = [tex]\frac{1}{4}[/tex] = 0.25
Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 250x and the value of the car after x months is represented by y = 8,000 – 50x. Which statement describes when Melinda’s loan will be equal to the value of the car?
After 10 months, the loan and value of the car will both be equal to $7,500.
After 12 months, the loan and value of the car will both be equal to $7,000.
After 14 months, the loan and value of the car will both be equal to $6,500.
After 16 months, the loan and value of the car will both be equal to $6,000.
Answer:
lol
Step-by-step explanation:
The scale for the diagram of the doghouse is 1 in: 3 ft.
Find the length of the actual doghouse.
Answer:
2.25 feet
Step-by-step explanation:
Alright so the scale is 1:3
(1 represents the diagram and 3 represents the actual doghouse)
In the diagram the length is 0.75ft
We can use this Information to set up this equation:
[tex]\frac{1}{3}=\frac{0.75}{x}[/tex]
Simplify: (cross multiply, if confused scroll down, I explained)
x=3(0.75)
x=2.25
Length of actual house is 2.25 feet.Hope this helps
*************************
Cross multiplying:
It's simply this:
If [tex]\frac{a}{b}=\frac{x}{y}\\[/tex]
Then we can say
a(y)=b(x)
*************************
this is the next question
Answer:
A. A trapezoid
Hope this helps!!
Simplify the expression by combining like
terms:
3+ v + 4v2 + 2 - V2 + 3v
]
Answer:
I believe the answer would be 3v2+4v+5
Which expression is equivalent to
Answer:
it is not clear i cant see well the question
Step-by-step explanation:
-6x+48=60
-48
-6x=12/-6
where does 12 come in ?
Answer:
from the police department -_-
Step-by-step explanation: sike they subtracted 48 from 60 they put the -48 on the wrong side
VIVIENNE READ 3/5 OF A BOOK THAT IS 165 PAGES LONG. HOW MANY PAGES DID VIVIENNE
READ?
Answer:
99 pages.
Step-by-step explanation:
First divide 165 by 5, to get 1/5th of the book. The answer is 33
Now, multiply 33 by 3 in order to get 3/5ths of the book.
You get 99 pages.
select all expressions that are equivalent to 6x + 1 + 3x +4
A. 9x + 5
B. 9x + 1 + 4
C. 3x + 3
D. 3x +5
Answer:
-5/9Step-by-step explanation:
6x+3x+1+4=09x+5=09x=-5x=-5/9HELP ASAP!!!! HELP FAST PLEASE!!
9.52 Times 6.7=?Show explanation too
Answer:
63.784
Step-by-step explanation:
(9.52)(6.7)
=63.784
wym explain just use your calculator and multiply
mrk brainliest plz
Answer:
348.4 (if that is the number of the question then 52 times 6.7)
63.78 (if 9.52 times 6.7)
A square picture frame has a perimeter of 32 inches. What is the length of the diagonal of the picture frame?
Answer:
The diagonal length is the square root of 128 so 11.31 inches
Find the Area in terms of pi
Answer:
121 π
Step-by-step explanation:
A= π * r^2
r^2 = 121 * π
HELPP find the area of this shape / will mark brianliest
Answer:
222 cm
Step-by-step explanation:
To find the area of the square we multiply length and height.
15x12 = 180
For the triangular part of the trapezoid we multiply height by width and divide by 2.
12x7 = 84 / 2 = 42
Add the two sums and we get 222 cm.
180 + 42 = 222
Sara hina and Arslan have a total of RS 390in their wallet . Sara has Rs. 7more than Hina .Arslan has 3 times what sara has . How much do they have in their wallets?
Answer:Sara hina and Arslan Have RS79.4,RS 72.4 and RS238.2 respectively.
Step-by-step explanation:
Step 1
Let the amount that hina has be x
the amount that sara has be represented as 7+x
and the amount that Arslan have be represented as 3(7+x)
such that the total amount in their wallet which is 390 can be expressed as
x+7+x + 3(7+x)=390
Step 2
Solving
x+7+x +21+3x=390
5x+28=390
5x==390-28
x=362/5=72.4
Hina has RS 72.4
Sara =7+x==72.4+77= RS 79.4
Arslan =3(7+x)=3 x 79.4=RS 238.2
bill spent $19 at starbucks on a coffee and some cookies. if the coffee cost $5 each cookie cost $2, how many cookies did he buy?
Answer:
this is easy. we know that he spent $19 total, 1 coffee that costed $5, and that each cookie costs $2. all you have to do is subtract 5 from 19 and divide the remaining amount of money (14) by 2. this makes 7 the amount of cookies Bill bought.
The average of an electrician's hourly wage and a plumber's hourly wage is $32.00. One day a contractor hires an electrician for 9hr of work and the plumber for 2hr of work and pays a grand total of $219.00. Can you help me find the hourly wage for the electrician and for the plumber? I'm very confused on how to go about solving these types of problems.
PLEASE HELP. THIS IS FOR A TIMED TEST AND I GENUINELY TRIED EVERYTHING TO SOLVE IT
Answer:
I believe it's C I had this on my test and I got it right
What is the probability of the spinner landing on E for a first spin and either C or D for a second spin?
Answer:
We can't see the image of the spinner. So let's solve this in a general way.
Let's assume that the probability of landing on E is:
P(E)
And the same for all the letters, we will have:
P(A), P(B), P(C), P(D).
Then, the probability of the spinner landing on E for the first spin is just P(E).
Now, the probability of landing on either C or D is: P(C) + P(D)
The joint probability, thus, the probability of both events happening is:
P = P(E)*(P(C) + P(D))
Now, if each letter has the same probability (and we have 5 of them)
Then:
P(E) = 0.2
P(C) = 0.2
P(D) = 0.2
Replacing that in the equation we would get:
P = 0.2*(0.2 + 0.2) = 0.2*0.4 = 0.08
119,179,710,145 + 2,195,356,748 + 38,941,733 + 22,093,120 + 33,241,754 +
7,194,542,922 + 100,082,897,068 =
Answer:
228,746,783,490
Step-by-step explanation:
119,179,710,145 + 2,195,356,748 + 38,941,733 + 22,093,120 + 33,241,754 +
7,194,542,922 + 100,082,897,068 = 228,746,783,490
Use a calculator
228,746,783,490
Sorry if it’s wrong
Zane needs 20 yards of fencing to go around his rectangular yard. What are possible dimensions for Zane's yard? Select all that apply .
Answer:
1 yard by 9 yards
2 yards by 8 yards
3 yards by 7 yards
4 yards by 6 yards
Step-by-step explanation:
the perimeter of the rectangular yard needs to be 20 yards
Perimeter of a rectangle = 2 x ( length + width)
20 = 2 x ( length + width)
( length + width) = 20 /2
( length + width) = 10
The sum of the length and width should equal 10
Possible dimensions that would equal 10 are :
1 yard by 9 yards
2 yards by 8 yards
3 yards by 7 yards
4 yards by 6 yards
If AABC undergoes a dilation of scale factor 3 centered at the origin, what will be the coordinates of the image of
point B?
A (5,6)
B (6,3)
C (6,9)
D (2,9)
What is the value of c?
Step-by-step explanation:
d=100° <------opposite angle of a parallelogram are equal
then c=96°
IN DESPERATE NEED OF HELP!!!! TIMED TEST!!! WILL GIVE BRAINLYEST!! No links or I will report u
Answer:
a) Slope is -4/3 y-intercept is 2
b) Slope is 2 y-intercept is -1
Step-by-step explanation:
y=mx+c
m=gradient (or in this case slope)
c=y-intercept
ANSWER PLS
NO LINKSSSSSS
Answer: 118 degrees
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
So...
180 - (42+20) = 118 degrees
Answer:
given,
angles of triangle= 42°, 20° , x(let)
we know,
The sum of interior angles of triangle is 180°
so,
42°+20°+x=180°
62°+x=180°
X=180°-62°
X= 118°
Hence,the other angle is 118°
Lamar has a list of 600 pages to read to finish his book for his upcoming book report. He sets a goal to read half of the pages left in his book each day.
Answer:
a.) Total pages Lamar have to read the first day to meet his goal = 300
Total pages left to read after 3 days = 75
b.) Total pages he need to read on day 8 = 4.6875
Step-by-step explanation:
The exact question is as follows :
Given - Lamar has a list of 600 pages to read to finish his book for his upcoming book report. He sets a goal to read half of the pages left in his book each day.
To find -
a) How many pages will Lamar have to read the first day to meet his goal?
How many will he have left to read after 3 days?
b) How many pages will he need to read on day 8?
Solution -
Given that,
Total number of pages = 600
Now,
In Day 1 ,
He will finish half of the pages
So, he finished pages = [tex]\frac{1}{2} (600)[/tex] = 300
i.e.
In Day 1 , he Finished 300 pages.
So,
At the end of Day 1, total pages left = 600 - 300 = 300
so,
Total pages Lamar have to read the first day to meet his goal = 300
Now,
For day 2 ,
Total pages = 300
He will finish half of the pages
So, he finished pages = [tex]\frac{1}{2} (300)[/tex] = 150
i.e.
In Day 2 , he Finished 150 pages.
So,
At the end of Day 2, total pages left = 300 - 150 = 150
Now,
For day 3 ,
Total pages = 150
He will finish half of the pages
So, he finished pages = [tex]\frac{1}{2} (150)[/tex] = 75
i.e.
In Day 3 , he Finished 75 pages.
So,
At the end of Day 3, total pages left = 150 - 75 = 75
So,
Total pages left to read after 3 days = 75
Now,
For day 4 ,
Total pages = 75
He will finish half of the pages
So, he finished pages = [tex]\frac{1}{2} (75)[/tex] = 37.5
i.e.
In Day 4 , he Finished 37.5 pages.
So,
At the end of Day 4, total pages left = 75 - 37.5 = 37.5
Now,
For day 5 ,
Total pages = 37.5
He will finish half of the pages
So, he finished pages = [tex]\frac{1}{2} (37.5)[/tex] = 18.75
i.e.
In Day 5 , he Finished 18.75 pages.
So,
At the end of Day 5, total pages left = 37.5 - 18.75 = 18.75
Now,
For day 6 ,
Total pages = 18.75
He will finish half of the pages
So, he finished pages = [tex]\frac{1}{2} (18.75)[/tex] = 9.375
i.e.
In Day 6 , he Finished 9.375 pages.
So,
At the end of Day 6, total pages left = 18.75 - 9.375 = 9.375
Now,
For day 7 ,
Total pages = 9.375
He will finish half of the pages
So, he finished pages = [tex]\frac{1}{2} (9.375)[/tex] = 4.6875
i.e.
In Day 7 , he Finished 4.6875 pages.
So,
At the end of Day 7, total pages left = 9.375 - 4.6875 = 4.6875
So,
At the starting of Day 8,
Total pages = 4.6875
So,
Total pages he need to read on day 8 = 4.6875
Which of the following statements is true based on the data set shown below?
median = mode
mean = median
mode = mean
Answer:
median=mode
Step-by-step explanation:
I just did it.
Answer:
median=mode
Step-by-step explanation:
Where is ( 0 , -5 ) on the coordinate plane?
Question 5 options:
Quadrant III
Quadrant II
x axis
y axis
origin
Answer:
y-axis
Step-by-step explanation:
It lies on the vertical y-axis
a) If a/b=3/4, find: 6a+b/3a+2b
Answer:
22/17
Step-by-step explanation:
If a/b = 3/4, then a = 3 and b = 4.
6a + b/3a + 2b
Substitute the variables.
6(3) + 4/3(3) + 2(4)
Multiply 6 and 3, 3 and 3, and 2 and 4.
18 + 4/9 + 8
Add 18 and 4, 9 and 8.
22/17.
elena bought 49 packs of red balloons, 66 packs of blue balloons, and 35 packs of yellow balloons. each pack contains 12 gallons. How many balloons there altogether? How many more red were balloons were there than yellow balloons?
Answer:
First, let's add 49 + 66 + 35 = 150 packs of balloons.
Each pack has 12 balloons, so 150 x 12 = 1800 balloons.
Step-by-step explanation: