Answer:
0.49
Step-by-step explanation:
We apply conditional probability to solve this question.
We have Events X and Events Y
P(X) = Probability Christine fails the course = ??? Unknown
P(Y) = Probability Christine finds a tutor
= 0.35
P(Y') = Probability Christine does not find a tutor = 1 - 0.35 = 0.75
P(X|Y) = Decrease in her probability of failing = 0.35
P(X|Y') = Probability that she will fail the course if she does not have a tutor
P(X) = P(X|Y) × P(Y) + P(X|Y') × P(Y')
P(X) = 0.35 × 0.75 + 0.65 × 0.35
P(X) = 0.2625 + 0.2275
P(X) = 0.49
The probability that Christine fails the course is 0.49
help help help help help
Web crawlers need to estimate the frequency of changes to Web sites to maintain a current index for Web searches. Assume that the changes to a Web site follow a Poisson process with a mean of 6 days. Let a random variable X denote the time (in days) until the next change. What is the probability that the time until the next change is greater than 9.5 days
Answer:
The probability will be "0.205".
Step-by-step explanation:
The probability that perhaps the time remains greater than 9.5 days before the next shift will indeed be:
⇒ [tex]P(X>9.5)[/tex]
⇒ [tex]1-P(X<9.5)[/tex]
⇒ [tex]1-(1-exp(\frac{-9.5}{6} ))[/tex]
⇒ [tex]0.205[/tex]
A book shop offers a 24% discount on books.
Sam has to pay $______????
if he purchases books with an original price of $84.
Answer:
$63.84
Step-by-step explanation:
If Sam purchases an $84 book with 24% off, he pays $63.84. This is because first you want to find what percent of the book Sam has to pay for. Because it is 24% off, Sam has to pay for 76% of the book (100-24). Then, convert 76% to a decimal (.76) by moving the decimal to the left two digits. Lastly, multiply 84 by .76.
A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are possible if: only men(3 Points)
Answer:
There are six possible committees if only men are chosen
Step-by-step explanation:
Here, we want to find the number of possible committees if only men are chosen
In this case, what will happen is that we shall be selecting the 5 people from the available 6 men
Mathematically, we can have this in 6C5 ways
which is read as 6 combination 5 ways
And that will be 6 ways
So there are six possible committees if only men are selected
Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes, or 0.83 hour. Who runs faster.
Answer:
ava ran the fastest
Step-by-step explanation:
The sum of three different numbers is 223. The largest number is 13 more than the smallest number. The sum of the largest number and the smallest
number is 7 more than twice the middle number. What is the largest of these numbers?
Answer:
82.
Step-by-step explanation:
Let the largest number of be 'a'.
Let the middle number be 'b'.
Let the smallest number be 'c'.
From the question given above,
The sum of the three numbers is 223. This can be written as:
a + b + c = 223 .... (1)
The largest number is 13 more than the smallest number. This can be written as:
a = c + 13 ..... (2)
The sum of the largest number and the smallest number is 7 more than twice the middle number. This can be written as:
a + c = 2b + 7..... (3)
Summary:
a + b + c = 223 .... (1)
a = c + 13 ..... (2)
a + c = 2b + 7..... (3)
Substitute the value of a in equation 2 into equation 3. This is illustrated below:
a + c = 2b + 7
a = c + 13
c + 13 + c = 2b + 7
2c + 13 = 2b + 7
Make b the subject
2c + 13 – 7 = 2b
2c + 6 = 2b
2(c + 3) = 2b
Divide both side by 2
b = 2(c + 3) / 2
b = c + 3 ..... (4)
Substitute the value of a in equation 2 and the value of b in equation 4 into equation 1. This is illustrated below:
a + b + c = 223
a = c + 13
b = c + 3
(c + 13) + (c + 3) + c = 223
c + 13 + c + 3 + c = 223
3c + 16 = 223
Collect like terms
3c = 223 – 16
3c = 207
Divide both side by 3
c = 207/3
c = 69
The smallest number (c) is 69
Substitute the value of c into equation 2 to obtain the largest number (a). This is illustrated below:
a = c + 13
c = 69
a = 69 + 13
a = 82
Therefore, the largest number (a) is 82
Help now plz
4/9-2/18
Answer:
The answer would be 6/18 or 3/9
Step-by-step explanation:
Answer:
if dividing...0.3
if multiplying...0
Step-by-step explanation:
1. A = {2, 4, 6, 8, 10), B = {1,2,3,4,5,6,7,8,9,10}
Find A UB and An B.
(7
Answer:
AUB=2,4,6,8,10 & AnB=1,3,5,7,9
I need to do this assignment but I need help on how to draw it and answer the questions because I am confused on how to do these things. Thank you
1) The domain is [0,300]. The range is [0,250]
2) The slope for the initial climb is 3.57. The equation of the line is
3) The rate of change of the second hill is -1.4
4) The rate of change of the third hill is -2.1
5) The blue hill is steeper
6) It is not a function
Step-by-step explanation:
1)
The domain of a function is the set of values of x (the input) for which the function itself is defined.
Instead, the range of a function is the set of values of y (the output) that the function can take.
To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between
x = 0 and x = 300
So, the domain is [0,300].
To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between
y = 0 and x = 250
So, the range is [0,250].
2)
The slope of a function in a certain range is given by
where
is the change in the y-coordinate
is the change in the x-coordinate
For the initial climb (pink line), we have:
Therefore, the slope in this part is
We can now write the equation of the line in the form
y = mx + b
where b is the y-intercept: since it is zero, the line has simply the form
3)
Again, to calculate the slope of the hill, we use:
where
is the change in the y-coordinate
is the change in the x-coordinate
For the green hill, we have:
So the rate of change is
4)
As before, the rate of change of the hill is
For the blue hill, we have:
So the rate of change is
5)
To know which hill is steeper, we need to compare the magnitude of their rate of change.
In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.
For the green hill:
For the blue hill:
We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.
6)
A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).
This means that a function cannot have multiple values of y for the same x (the input).
By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.
A squirrel needs to look for some nuts in the forest every day. It can find 24 nuts on a sunny
day and 10 nuts on a rainy day. If the squirrel found 98 nuts last week, write and solve a
system of equations in order to find:
How many sunny days were there in last week? |
sunny days
How many rainy days were there in last week?
rainy days
Answer:
24x+10y=98
2sunny days
5rainy days
Step-by-step explanation:
x=number of sunny days
y=number of rainy days
(2*24)+(10*5)=98
vualah :)
Casey is using a recipe that requires 2/3 Cups of flour for every 2 cups of milk. If Casey uses 5 cups of milk how many cups of flour are needed
Answer:
15 cups of flour
Step-by-step explanation:
1÷2 7/9 =x+4 2/5 x
Brainlest I promise!!!!!!!!
Answer:
x=1/15
Step-by-step explanation:
SOLVE:
1 (divide) 2 7/9 = x+ 4 2/5x
1 (divide) 25/9 = x + 4 2/5x
1 * 9/25 + 5 2/5x
9/25 = 5 2/5x
divide both sides by 5 2/5 or you can multiply by the reciprocal
5 2/5x = 27/5x
then once you do that you get x= 1/15
CHECK ANSWER:
Insert 1/15 instead of x
1 (divide) 2 7/9 = (1/15) + 4 2/5 (1/15)
9/25 = 9/25 Yes it is a true statement.
ANSWER:
x= 1/15
Evaluate the expression when x=-4.
x2 +7x-6
The sum of the angles of a triangle is 180 degrees. If one of the acute angles of a right triangle is 52 degrees, what is the measure of the other acute angle? A: Let x be the measure of the unknown acute angle. Write an equation relating this measure to the known quantities. Do not include units in your equation.
Answer:
An equation is [tex]x+52\°+90\°=180\°[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the measure of the unknown acute angle.
According to angle sum property of a triangle, sum of all the angles of a triangle is equal to 180°.
One of the acute angles of a right triangle is equal to 52°.
Also, the triangle is a right angled triangle, one of the angle must be equal to 90°.
[tex]x+52\°+90\°=180\°\\x+142\°=180\°\\x=38\°[/tex]
So, an equation is [tex]x+52\°+90\°=180\°[/tex]
George rented a bike to tour a nearby park. The charge to rent the bike is a flat rate of $10.75 plus $4.50 per each hour that he spends riding the bike. How much did George pay if he was riding for 3 1 fourth hours?
Answer: $25.38
Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT
Evaluate the expression when x=5, y=-3, and z= -2.
y+z
Answer:
-5
Step-by-step explanation:
-3+-2=-5
this is the answer
what is this total fruit = 8.27+6.65
Answer:
14.92
Step-by-step explanation:
8.27+6.65=14.92
Brainliest?
Answer:
8.27+6.65=14.92
Jerome's sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. a) Complete the table below. (2 points) Original Ratio x1 x2 X3 X4 Drink mix (cups) 3 Water (cups) 8
please respond quickly and thanks to the one who responded
Answer:
6 ,16
Step-by-step explanation:
he doubled it
Jasmine drives every morning to her office that is 12 miles from her home.
c
Suppose Jasmine drives from home to the office in 20 minutes. Use this information and part (b) to write an equation. QUICK RSM HELL EMERGENCY DUE TOMARO
Answer:
d = 36tStep-by-step explanation:
We need to calculate the speed of Jasmine first as shown:
Speed = Distance/Time
Given:
Distance = 12miles
Time = 20mins
Time = 20/60 hr
Time = 1/3 hr
Speed = 12/(1/3)
Speed = 12 * 3/1
Speed = 38mi/hr
From the formula:
S = d/t
To get the equation needed, substitute s = 36 into the formula:
36 = d/t
d = 36t
Hence the required equation is d = 36t where d is the distance in miles and time in hour
Answer:
36
Step-by-step explanation:
An urn contains nine blue balls and seven yellow balls. If three balls are selected randomly without being replaced, what is the probability that of the balls selected, one of them will be blue and two of them will be yellow?
Answer:
[tex]Probability = \frac{27}{80}[/tex]
Step-by-step explanation:
Given
[tex]Blue =9[/tex]
[tex]Yellow = 7[/tex]
Required
Determine the probability that one of the balls is blue while others is yellow
The order of selection may be any of these three:
Yellow, Yellow, Blue or Yellow, Blue, Yellow or Blue, Yellow, Yellow
Solving Yellow, Yellow, Blue
[tex]Probability = P(Y_1) * P(Y_2) * P(B)[/tex]
[tex]Probability = \frac{7}{16} * \frac{6}{15} * \frac{9}{14}[/tex]
[tex]Probability = \frac{1}{8} * \frac{1}{5} * \frac{9}{2}[/tex]
[tex]Probability = \frac{9}{80}[/tex]
Solving Yellow, Blue, Yellow
[tex]Probability = P(Y_1) * P(B) * P(Y_2)[/tex]
[tex]Probability = \frac{7}{16} * \frac{9}{15} * \frac{6}{14}[/tex]
[tex]Probability = \frac{9}{80}[/tex]
Solving Blue, Yellow, Yellow
[tex]Probability = P(B) *P(Y_1) * P(Y_2)[/tex]
[tex]Probability = \frac{9}{16} * \frac{7}{15} * \frac{6}{14}[/tex]
[tex]Probability = \frac{9}{80}[/tex]
Hence:
The required probability is:
[tex]Probability = \frac{9}{80} + \frac{9}{80} + \frac{9}{80}[/tex]
[tex]Probability = \frac{27}{80}[/tex]
Alex brought in 6 bottles of apple juice to share with himself and 3 friends at lunch. There are 3.5 liters of juice in each bottle.
If they combine all of the juice together, how much apple juice does each person get to drink?
If they share the apple juice equally among the 4 of them, how much apple juice does each person get to drink?
Answer:
5.25 litres.
Step-by-step explanation:
6 bottles * 3.5 litres = 21 litres of juice total.
21 / 4 = 5.25 litres per person.
Your new car drives 220 miles on 8 gallons of gas,
The car's MPG is
Will mark brainliest Simone please help
Answer:27.5
hope it helped can I have brainliest?
Step-by-step explanation:
a positive real number is 2 more than another. if the sum of the squares of the two numbers is 14, find the numbers
9514 1404 393
Answer:
√6 -1 ≈ 1.44949√6 +1 ≈ 3.44949Step-by-step explanation:
Let x represent the smaller number. Then the sum of squares is ...
x² +(x+2)² = 14
2x² +4x +4 = 14 . . . eliminate parentheses
2x² +4x -10 = 0 . . . put in standard form
x² +2x -5 = 0 . . . . . divide by 2 (because we can)
(x +1)² -6 = 0 . . . . . complete the square
x +1 = √6 . . . we want the positive root
x = -1 +√6
x+2 = 1 +√6
The numbers are √6±1.
The graph below shows the elevation of three submarines during their first four minutes depending into the water which statement is true?
Answer:
ANSWER IS A I THINK
Step-by-step explanation:
solve 7x/3 is less than 2
Answer:
x<6/7
Step-by-step explanation:
7x/3 < 2
Multiply both sides by 3,
7x < 6
Divide both sides by 7,
x < 6/7
Answer:
x>6/7
Step-by-step explanation:
7x/3>2
Can somebody please help me with this math problem
Answer:
According to the question 25% of the students wore jackets.
Thus 25% of 12 wore jackets
The number of students can be found easily by multipling 12 with 25//100
12*25/100
12*1/4
12/4
thus, 3 students
Therefore, option 3 is correct
x - 4x + 2 = -X- 2x + 3
Plz help
The question is wrong bro.
Find x.... Figure is not drawn to scale.
Answer:
70m
Step-by-step explanation:
The ratio from 25 and 50 is 1/2 so 35x2 is 70m. This is equivalent to the given ratio.
The value of a car dropped from $35,600 to $30,189 over the last year. Determine the absolute and relative
change in this situation. Round your answer to the nearest hundredth.
Absolute change=
Relative change=
Step-by-step explanation:
Given data
old price= $35,600
new price=$30,189
Absolute change= old price -new price
Absolute change=35,600-30,189
Absolute change=5411
Relative change=(old price -new price)/old
Relative change=(35,600-30,189)/35,600
Relative change=5411/35,600
Relative change=0.151
the relative change is a percentage= 0.151*100= 15.1%
what is 1.9541 rounded to the nearest thousandth
Answer:
1.954
so 4 is in the thousandths
Step-by-step explanation:
