Answer:
a.) only E occurs :
E((FUG)')
b.) both E and G but not F
EG(F')
C.) Atleast one of the events :
(E U G U F)
d.) Atleast two of the events
(EG U EF U GF)
E.) all three occurs
(EGF)
F.) none of the events occur :
(E U G U F)'
G.) At most one of the events occur
(EG U EF U GF)'
H.) at most two of them occur
(E' U G' U F')
I.) exactly two of them occur;
(EG U EF U GF) * (EGF)'
j. at most three of them occur.
EFG U (EFG)'
Step-by-step explanation:
Events = {E, F, G}
a.) only E occurs :
E((FUG)') ; E and not F or G
b.) both E and G but not F
EG(F') ; both E and G and not F
C.) Atleast one of the events :
(E U G U F) ; Either E or F or G
d.) Atleast two of the events
(EG U EF U GF) ; Either EG or EF or GF occurs
E.) all three occurs
(EGF) ; All three events, E, G and F occurs
F.) none of the events occur :
(E U G U F)' ; Neither E, G nor F occurs
G.) At most one of the events occur
(EG U EF U GF)' ; complement of atleast two) at most one
H.) at most two of them occur
(E' U G' U F') ; Either E , F or G does not occur
I.) exactly two of them occur;
(EG U EF U GF) * (EGF)' ; Exactly two events occurs and all three events Do not occur
j. at most three of them occur.
EFG U (EFG)' ; All three events occur union all three events do not occur
The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? What is the length of the
hypotenuse?
The length of the short leg will be 10.4. And the length of the hypotenuse will be 20.8.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The length of the longer leg of a 30-60-90 triangle is 18.
Then the length of the short leg will be
tan 30° = x / 18
x = 10.4
Then the length of the hypotenuse will be
sin 30° = 10.4 / h
h = 20.8
More about the right-angle triangle link is given below.
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Stuck on this one question qwq
*12 points*
I'm 99% sure your answer is B!
I hope this answer helped! please mark brainliest and vote 5 stars >:)
Find the measure of each unknown angle.
Answer:
= 56°
= 34°
Step-by-step explanation:
3x + 5 + 2x = 90°
3x + 2x + 5 = 90°
5x + 5 = 90°
5x = 90 - 5
5x = 85
x = 85/5
x = 17
3x + 5
= 3(17) + 5
= 51 + 5
= 56°
2x
= 2(17)
= 34°
The consecutive monthly flows into and out a reservoir in a given year are the following, in relative units: Month J F M A M J J A S O N D Inflow 3 4 5 3 4 10 28 17 7 6 3 2 Outflow 7 8 7 11 6 8 21 12 5 4 5 9 The reservoir contains 50 units at the beginning of the year. How many units of water are in the reservoir at the middle of August
Answer:
41.5 units
Step-by-step explanation:
Given the data :
Month : J F M A M J J A S O N D
Inflow : 3 4 5 3 4 10 28 17 7 6 3 2
Outflow : 7 8 7 11 6 8 21 12 5 4 5 9
The unit of water in reservoir at the middle of August :
Initial unit = Unit of water at the start of the year = 50
Middle of August :
Inflow = 17 /2 = 8.5
Outflow = 12 /2 = 6
Unit of water at the middle of August :
Initial unit + Inflow - Outflow
Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5
Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74
50 + 65.5 - 74 = 41.5
The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).
Find the coordinates of the other endpoint, D.
Answer: Endpoint = (-4,6)
Step-by-step explanation:
To find any endpoint use the formula [tex]\frac{x_1+x_2}{2} = Xmp[/tex] [tex]\frac{y_1+y_2}{2} =Ymp[/tex]
[tex]\frac{6+x_2}{2} = 1[/tex] [tex]\frac{-2+y_2}{2} =2[/tex]
multiply each by 2 to simplify
[tex]\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2[/tex] [tex]\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4[/tex] take the equations and simplify
6+[tex]x_{2}[/tex] = 2 -2+[tex]y_{2}[/tex] = 4 =
-6 -6 +2 +2
[tex]x_{2}[/tex] = -4 [tex]y_{2}[/tex] = 6
To check use the Midpoint formula
[tex]\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)[/tex]
A certain type of golfball is tested by a robot that hits the ball with a consistent impact force. The distances this type of ball travels in this test are normally distributed with a mean of 195195195 meters and a standard deviation of 555 meters. Suppose that quality control experts regularly collect random samples of 252525 distance measurements and calculate the sample mean distance in each sample. Assume that the measurements in each sample are independent. What will be the shape of the sampling distribution of the sample mean distance
Answer:
Approximately normal
Step-by-step explanation:
Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.
The shape of the sampling distribution of the sample mean distance is approximately normal
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that The distances this type of ball travels in this test are normally distributed with a mean of 195 meters and a standard deviation of 5
meters.
Suppose that quality control experts regularly collect random samples of 25 distance measurements and calculate the sample mean distance in each sample
When a population is normally distributed, the sampling distribution of the sample mean x will also be normal regardless of sample size.
Since the distribution of distances is normal, the sampling distribution of the sample mean distance will also be normal.
Hence, the shape of the sampling distribution of the sample mean distance is approximately normal
To learn more on Statistics click:
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Math PLEASE HELP IM SO CONFUSED IM ATTACHING THE SLIDES!!!!
Answer:
x = 19, TS = 22Step-by-step explanation:
Use ratios to solve for x. Corresponding sides have same ratio.Q1
(x + 5)/30 = (36 - 20)/20(x + 5)/30 = 16/20 = 4/55(x + 5) = 4(30)5x + 25 = 1205x = 95x = 19Q2
(5x - 2)/(3x + 1) = 39/26(5x - 2)/(3x + 1) = 3/22(5x - 2) = 3(3x + 1)10x - 4 = 9x + 310x - 9x = 3 + 4x = 7TS = 3x + 1 = 3(7) + 1 = 22
Jill and a friend are going hiking. They bring with them a container that holds 1/2 of a gallon of water. If they share the water equally what fraction of a gallon will each friend get?
Answer:
¼
Step-by-step explanation:
Solution,
Total quantity=½ gallon
Each friends quantity=½/2
=¼ gallon
PLS ANSWER I WILL GIVE BRAINLIEST
Answer:
3+2x
Step-by-step explanation:
Since you've started with 3 you add the 2 each time up the output.
I need help with this math problem
Given that the function g is defined by the rule g(x)=3-2x,determine the following
g(a)=
Answer:
The value of g(a) is:
[tex]g(a) = 3 - 2a[/tex]
Step-by-step explanation:
Given
As the function is given by
[tex]g(x)=3-2x[/tex]
To determine
g(a) = ?
Given the function
[tex]g(x)=3-2x[/tex]
substitute x = a in the function
[tex]g(a) = 3 - 2(a)[/tex]
[tex]g(a) = 3 - 2a[/tex]
Therefore, the value of g(a) is:
[tex]g(a) = 3 - 2a[/tex]
Who was the first prince of Russia to be crowned as a czar
The seventh-grade students at Alaniz Middle School went on a field trip. At lunch
17 students drank lemonade. This represented 20% of the students on the field
trip. How many Students were on the field trip?
Answer:
85 students
Step-by-step explanation:
If 17 = 20%
It means is the fifth part of 100%
Because 20% * 5 = 100%
With that logic if we multiply the amount of students by 5 we will get the total of students.
17*5= 85
Hope it was helpful ;)
609.0÷14
what is the anawer
Answer:
43.50 or 43.5
Step-by-step explanation:
Help and i will give brainiest if you answer them all if random will report
Answer:
○ 1. B
○ 2. 146.25
Add the numbers
○3. (-6w) - 8 + 1 (-7w)
(-6w) -7 + (-7w)
Rearrange
(-6w) + -7 + (-7w)
(-6w) + (-7w) - 7
Solution
(-6w) + (-7w) - 7
○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1
Answer:
thank you very much
Step-by-step explanation:
thank you
PLEASE HELP GIVING BRAINLIEST
f(n) = n2 + 4n
g(n) = - 2n - 2
Find f(n) + g(n)
Answer:
(g x h)(n) = -3n(n^2+2n+4) + 2(n^2+2n+4)
(g x h)(n) = -3n^3-4n^2 -8n + 8
(g x h)(1) = -3n^3-4n^2 -8n + 8 = -3 -4 -8 + 8 = -7
Step-by-step explanation:
Answer:
1. n = 0
n = f -4
2. n = - 2/g+2
3. fn+gn
Step-by-step explanation:
Solve 3^x=42. Round to the nearest hundredth
Answer: x=3.40
Step-by-step explanation: apply exponent rule xln(3)= ln(42)
solve xln(3)=ln(42): x=ln(42)/ln(3) (fraction form)
(decimal) 3.40217... round it to the nearest hundreth= 3.40
I do not know if this is correct.
Can I get the answer please ?
Can someone please help
Step-by-step explanation:
step 1. 6x - 30 = 2(x + 33)
step 2. 6x - 30 = 2x + 66
step 3. 4x = 96
step 4. x = 24.
step 5. mNMO = x + 33 = 24 + 33 = 57°.
Factor to write an equivalent expression: 5a - 10
!!HELPPP ME AND MY FRIENDD!!
Answer:
1 and 3
Step-by-step explanation:
Answer:
B . <3 <7
I had the sam test and got a 100
please mark brainliest
Step-by-step explanation:
A coin is flipped 5 times. What is the total possible outcomes or sample space for this event?
Answer:
Step-by-step explanation:
If the spinner has an even number of numbers on it, there will be an equal number of odd and even numbers, meaning that the probability of spinning an odd number is 1 2. This is also the probability of flipping heads on a coin. And so we have: 1 2 × 1 2 × 1 2 = 1 8. If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. hope this helped\
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
Find the area of the octagon.
The area is _
HELP BRIANLIEST TO BEST ANSWER
The school store has 1200 pencils in stock and sells an average of 25 pencils per day. The manager reorders when the the number of pencils in stock is 650.
The number of days is the independent variable.
True or false
Answer:
If anything, I think the answer is true. That is about 30 days, and that is an independent variable to me.
Step-by-step explanation:
Answer:
false they are measuring the amount the sold
what is the area of the triangle?
Answer:
32
Step-by-step explanation:
The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
Juanita borrowed $600 to purchase a new computer. She
was charged 7% interest for two years. She used the
simple interest formula to find the interest.
|=600(7)(2)
What error did Juanita make and how will her error affect
the interest she calculates? Explain.
Answer:
Forgot to turn the 7% into a 0.7... if you dont do that, then it will come out larger then it was supposed to be :)
Answer:
Sample response: Juanita did not change the 7% to the decimal 0.07. When she completes the problem as written, the interest will be greater than the money she borrowed.
Step-by-step explanation:
This is a sample response, be sure to change the wording up a bit.
Zayden has been saving his earnings from mowing the neighborhood lawns. He has 50 dollars and wants
to spend it all on baseball cards.
If each baseball card costs 8 dollars, how many can Zayden buy?
Answer:
6 cards
Step-by-step explanation:
8 × 6 = 48
You can't have 1/4 of a baseball card. So the answer is 6 cards.
The ratio of the three angles of a triangle is
9:13:3. What is the measure of the MIDDLE angle?
Answer:
64.8°
Step-by-step explanation:
in the given ratio 9:13:3 the required middle angle is presented as 9;
1) if the sum of the angles of triangle is 180, then the given ratio can be re-written as
9x+13x+3x=180, ⇒ x=36/5;
2) if x=36/5, then the required measure of the middle angle can be calculated:
m(∠MIDDLE)=9*36/5=64.8°.
Find the value of the expression below for x=10
x ^2 - 2 (x + 5)
Answer:
20
Step-by-step explanation:
your welcome!!
