Answer:
A. P(EC) = 0.4
B. P(E∪E) = 0.75
C. P(EC ∩ FC) = 0.25
Step-by-step explanation:
Let us calculate -:
we are given with - P(E) = 60 and P(F) =.15,
Thus , (a) [tex]P(E^C)=1-P(E)[/tex]
[tex]=1-0.6[/tex]
[tex]=0.4[/tex]
(b) P(E∪F) = P(E) + P(F)
= 0.60 + 0.15
= 0.75
(c) [tex]P(E^C[/tex]∩[tex]F^C)[/tex] [tex]=1-P(E[/tex]∪ [tex]F)[/tex]
[tex]=1-0.75[/tex]
= [tex]0.25[/tex]
Hence , the answers are -A. P(EC) = 0.4 , B. P(E∪E) = 0.75 , C. P(EC ∩ FC) = 0.25.
Alexis surveys a random sample of 80 students at his school and finds that 22 of them
usually walk to school. There are 1,760 students at the school. Predict the number of
students who usually walk to school.
Answer:
484 students
Step-by-step explanation:
This is simple probability. Assuming 22/80 students walk to school within a small population, and there are 1760 students at the school, there should be (22/80)*1760 students that walk to school in total. (This is just theoretical). This is 484 students.
The number of students who usually walk to school will be 484 students.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Alexis surveys a random sample of 80 students at his school and finds that 22 of them usually walk to school.
Then the number of students who usually walk to school will be
⇒ 22 / 80
⇒ 11 / 40
We know that the ratio will remain the same.
There are 1,760 students at the school.
Let x be the number of students who usually walk to school.
Then the number of students who usually walk to school will be
x / 1760 = 11 / 40
x = 484 students
Thus, the number of students who usually walk to school will be 484 students.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
need help ASAP !! A line segment has endpoints(3,14) and (3,22) which of the following statements is true?
Answer:
the answer is b. the segment has a length of 8 units vertical.
Step-by-step explanation:
In an aquarium, there are 6 large fish and 8 small fish. Half of the small fish are red.
One fish is selected at random. Find the probability that it is a small, red fish.
Write your answer as a fraction in simplest form.
Answer:
2/7
Step-by-step explanation:
There are 14 fish and 4 of them are small, red ones.
P(small red fish) = 4/14 = 2/7
A line passes through the point (2,-5) and is perpendicular to the line with the equation y=1/
5x+5 what’s the equation of the line
Answer:
y = –5x + 5
Step-by-step explanation:
a house purchased for 170828 is worth $73828 after 12 years. assuming that the house's value depreciated the same amount from year to year, what was it worth at the end of the year 4? Round to the nearest cent.
Answer:
After four years the house was worth $128,891.03
Step-by-step explanation:
170828(x)^12 = 73828
solve for x
x = 0.932 (House depreciates by 6.8% yearly)
plug in x and change into function and substitute 4 for 12 because it's 4 years
170828(0.932)^4
128891.0334
Answer:
Match the packaging type with the number of seedlings it contains.
gerbera daisy cell pack
gerbera daisy flat
standard flat
standard cell pack
Step-by-step explanation:
Some1 hurry need help
Answer:
B) (-6,9)
Step-by-step explanation:
since it's reflecting on the x-axis, the x is gonna stay the same. the y changes though. opposite of -9 is 9.
hope this helps <3
Answer:
B, (-6, 9)
Step-by-step explanation:
this is because it's like as if it was a mirror, so that is the correct answer
Which of the following graphs is the graph of a linear function?
Answer:
A is the answer
Step-by-step explanation:
Find the exact value of the following, without using a calculator.
9514 1404 393
Answer:
(√17 -4√595)/102
Step-by-step explanation:
To use the sine of the angle sum formula, we need to know the sine and cosine of each of the angles.
sin(sin^-1(1/6)) = 1/6 . . . . a first-quadrant angle
cos(sin^-1(1/6)) = √(1 -(1/6)²) = √(35/36) = (√35)/6
sin(tan^-1(-4)) = -4/√(1+(-4)²) = -4/√17 . . . . a 4th-quadrant angle
cos(tan^-1(-4)) = √(1 -(-4/√17)²) = 1/√17
The sum of angles formula is ...
sin(α+β) = sin(α)cos(β) +cos(α)sin(β)
So, our sine is ...
[tex]\sin\left(\sin^{-1}\left(\dfrac{1}{6}\right)+\tan^{-1}(-4)\right)=\dfrac{1}{6}\cdot\dfrac{1}{\sqrt{17}}+\dfrac{\sqrt{35}}{6}\cdot\dfrac{-4}{\sqrt{17}}\\\\=\dfrac{1-4\sqrt{35}}{6\sqrt{17}}=\boxed{\dfrac{\sqrt{17}-4\sqrt{595}}{102}}[/tex]
hi please help! ill give u a good 5 starz :)
Answer:
Option C and D!
Step-by-step explanation:
Option C because:-When 9 is placed in the box after 7, we get:-
7 ÷ 9 = [tex]\frac{7}{9}[/tex] which is correct!
7 ÷ 9 can also be written as [tex]\frac{7}{9}[/tex]. So, this Option is right since the equation is correct when 9 is placed in the box!
Option D is also correct because,When we place 9 in the box before [tex]\frac{1}{9}[/tex], we get:-
9 ÷ [tex]\frac{1}{9}[/tex] = 81
9 ÷ [tex]\frac{1}{9}[/tex] equals 9 x 9 (take the reciprocal of [tex]\frac{1}{9}[/tex])
9 x 9 equals 81 which means the equation is correct when 9 is placed in the box!
a bus company operates in dubai has the following operation times.calculate the total number of hours that the bus company operates in one week.
Answer:
its usAlly 9-5
Step-by-step explanation:
the amount of gas used by a household is shown in the table. what is the slope of the data from the table
Answer. i cant answer this without a pic of the slope
Step-by-step explanation:
What’s the correct answer I will mark as brainlest ASAP
Answer:
9
Step-by-step explanation:
240x.70=168 left after 30% to teacher
168/2=84 left after putting half in jar
25 students x 3=75 given to students
84-75=9 left
PLEASE HELP ME! IS THIS CORRECT?
Answer:
yes
Step-by-step explanation:
Help ASAP will give brainly 9th grade math
A train travels 18 kilometers in 12 minutes. At this rate, how far does the train travel in 1 minute?
kilometer(s) per minute
Answer:
1.5
Step-by-step explanation:
Find the mode 9,10,15,17,15,14,37,45,42,13
answer:
15
step-by-step explanation:
9, 10, 15, 17, 15, 14, 37, 45, 42, 13
mode means the number that appears the mostin the set of numbers, 15 appears twice, which the others appears only oncepoop I don't know what to do-
Me either ive been stuck on a question and no one will help me
Answer:
me three
Step-by-step explanation:
you guys are awesome
x
Given the functions f and g in numerical (table ) forms as
-1 0 1 23 4
f(x)
x 1
2 5 5 3 4 3
g(x) 1
Compute: gof (1)
2
0
3
8
4
3
5
2
6
1
Done
Answer:
[tex]g\ o\ f(1) = 2[/tex]
Step-by-step explanation:
Given
The attached tables
Required
[tex]g\ o\ f(1)[/tex]
This is calculated as:
[tex]g\ o\ f(1) = g(f(1))[/tex]
From the attached tables,
[tex]f(1) = 5[/tex]
So, we have:
[tex]g\ o\ f(1) = g(5)[/tex]
From the attached tables,
[tex]g(5) = 2[/tex]
So, we have:
[tex]g\ o\ f(1) = 2[/tex]
Silas just bought a used car for $5000. It loses value at a rate of 30% per year. The value of the car in n years is modeled by the formula f(n)=5000*(0.70)^ n-1 . Approximately how much will the car be worth in 5 years?
Answer:
$1200.50
plug 5 for n
5000(.7)^4
5000*.2401
=1200.5
A fair die is rolled twice. What is the probability that each roll shows an odd number? (show work)
Answer:
1/4
Step-by-step explanation:
To find probability, multiply the probability of one roll times the probability of the second roll.
A die usually have 6 numbers so ill assume it has that.
1/2 or 3/6 of the sides are odd. So multiply 1/2*1/2 to get 1/4.
HEPL MEE, I NEED EXTREME HELP!
Find the area and the perimeter of this shape!!!!
SEE ATTACHED FILE.
Answer:
A= ( 5 x 3 ) x [(9-5)x3 divided by 2]
15+6
=21
P= 5+5+3+9
=22
How long will it take the skier to travel 360 meters? Explain how you figured it out.
URGENT NEED HELP CLICK TO SEE
Answer:
3:7
Step-by-step explanation:
15-8=7 green skateboards
3:7
multiply 6kg25g by 8
48kg200g....…........
Answer:
(6*1000)g+25g=6025g
6025g*8=48200g
48kg200g. {:1000g=1kg}
Calvin wrote inequalities to compare the heights, in feet, of rivers above or below flood stage.
Select all of the inequalities that are correct.
A. -10 > -9
B. 1> -18
C. -25 > -30
D. 3 < -5
E. -10 < 3
Answer:
I'm not 100% sure but I think its B. 1> -18
please answer this as quick as possible.
Answer:
False
x=8-10=-2
Step-by-step explanation:
[tex]10 = x - 8 \\ ➡ \: x = 10 + 8 \\ ➡ \: x = 18[/tex]
[tex]\sf\red{The\:value\:of\:x\:is\:18.\:}[/tex]
[tex]\sf\pink{Hence,\:it\:is\:false.}[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
A landscaper records the heights, in feet, of 15 newly planted trees in a community garden, as shown.
3.2, 4.3, 3.5, 5.4, 3.7, 5.5, 6.2, 3.1, 6.8, 7.1, 4.8, 6.5, 4.9, 5.3, 5.9
Complete the histogram by selecting the frequencies for the heights of the newly planted trees in the community garden.
Answer:
Step-by-step explanation:
The histogram shows the distribution of the newly planted trees
How to plot the histogram?The dataset is given as:
3.2, 4.3, 3.5, 5.4, 3.7, 5.5, 6.2, 3.1, 6.8, 7.1, 4.8, 6.5, 4.9, 5.3, 5.9
Sort the data elements
3.1, 3.2, 3.5, 3.7, 4.3, 4.8, 4.9, 5.3, 5.4, 5.5, 5.9, 6.2, 6.5, 6.8, 7.1
Calculate the range
Range = Highest - Least
This gives
Range = 7.1 - 3.1
Range = 4
Divide by 4 to calculate the class width
Width = 4/4
Width = 1
So, the classes and the frequencies are:
Class Frequency
3.1 - 4.0 4
4.1 - 5.0 3
5.1 - 6.0 4
6.1 - 7.0 3
7.1 - 8.0 1
See attachment for the histogram
Read more about histograms at:
https://brainly.com/question/18198700
how to solve this equation
Sam has a piece of rope that is 3 1/2 feet long he cuts the website that one piece is one 1 1/3
feet long how long is the other piece
Answer:
2 1/6 ft
Step-by-step explanation:
This problem bothers on subtraction of fraction
Given data
Total length of rope 3 1/2 feet
Let's convert mixed fraction to proper fraction = 7/2ft
First piece of rope = 1 1/3ft
= 4/3ft
Hence the second piece of the rope is = 7/2-4/3= 21-8/6= 13/6
Second piece = 2 1/6 ft
I think
Mary has 37 sheep in her flock. If she makes one group of 7 sheep, how many equal groups of 3 sheep can be made with the remaining sheep?
Answer: 10 groups
Step-by-step explanation:
Since we know she is making a group of 7 sheep, we can do 37-7 to get 30 sheep left
If she wants to find how many groups she can make we have to do 30/3 which gets us to 10 which is the number of groups she can do
I hope this helps