The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.
Why are the events not mutually exclusive?
A, The sum of P(A) and P(B) is less than P(A or B).
B. The product of P(A) and P(B) is less than P(A or B).
C. The product of P(A) and P(B) is not equal to P(A or B).
D. The sum of P(A) and P(B) is not equal to P(A or B).
The events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).
Given that
probability for event A, P(A) = 0.3. probability for event B, P(B) = 0.6.the probability of events A or B, P(A or B) = 0.8.For mutually exclusive events, P(A) + P(B) = P(A or B).
So, P(A) + P(B) = 0.3 + 0.6 = 0.9
P(A or B) = 0.8
Since P(A) + P(B) = 0.9 ≠ P(A or B) = 0.8
The events are not mutually exclusive.
So, the events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).
Learn more about mutually exclusive events here:
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Answer:
C
Step-by-step explanation:
BINGO cards are $2 for 3 cards. How many BINGO cards can joy get for $12
Answer:
18 cards
Step-by-step explanation:
Because..[tex]12 \div 2 = 6 \times 3 = 18[/tex]Approximately what portion of the circle is shaded blue?
Answer: C. (1/6)
Step-by-step explanation: If you split the circle in half horizontally, the top part would be 1/3 and the bottom part would be 3/3. 1/3 + 3/3 = 4/6 and 4/6 simplified is 1/6.
use the result (a+b)²=a²+2ab+b² to find the value of 49²+98+1
pls help me
I will give brainliest
Answer:
2500
Step-by-step explanation:
a² + 2ab + b²
49² + 98 + 1
Comparing terms
a²= 49²
a= 49
2ab = 98
2× 49 × b = 98
98b = 98
b= 98/98
b = 1
or
b²= 1
b=√1
b= 1
a=49 and b= 1
Hence (a+b)²= (49+1)²
50²= 2500
Please help!! Best answer gets brainliest<3
Answer:
-5.1
Step-by-step explanation:
Since we know the starting temperature was -12.6 and the decrease was 7.5, that gives an equation.
-12.6 - 7.5.
Since we are working in temperature we need to be careful when subtracting.
-12.6 - 7.5 = -5.1
In a calculator, -12.6 - 7.5 would be 20.1 but since we are using temperature the answer is -5.1.
Hope that helps. x
PLEASE HELP FOR 100 POINTS AND BRAINLIESTT HELP PLEASE
Kim has fraction 1 over 2 cup of almonds. She uses fraction 1 over 8 cup of almonds to make a batch of pancakes.
Part A: How many batches of pancakes can Kim make with fraction 1 over 2 cup of almonds? (4 points)
Part B: On your own paper, draw a fraction model that shows the total number of batches of pancakes that Kim can make with fraction 1 over 2 cup of almonds. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A.
Answer:
The total number of batches of pancakes that Kim can make with the model is 4 batches of pancake
Step-by-step explanation:
Number of cups of pancakes = 2/4
Number of cups of almonds to make a batch of pancakes = 1/8
Therefore, the batches of pancakes that she can make will be:
= 2/4 ÷ 1/8
= 2/4 × 8/1
= 4
In conclusion, the number of batches of pancakes that Kim can make with the cup of almonds is 4 batches.
How do you find the Dilation of 1.5? Also how would you write the Algebraic representation?
Answer:
Multiply each coordinate point by 1.5, y=1.5x
Step-by-step explanation:
Someone please help me with this
Answer:
135.5-8.50=127
127/31.75=4
4 friends or your self and 3 friends
Hope This Helps!!!
Answer:
Equation:
31.75x + 8.50 = 135.50
Answer:
x = 4
Step-by-step explanation:
31.75x + 8.5 = 135.5
31.75x = 135.5 - 8.5
31.75x = 127
x = 127/31.75
x = 4
whats 2077-210?
its for a thing im doing.
Answer:
1867
Step-by-step explanation:
What do you need it for?
Help please and thanks!
Answer:
9. x = 31°
10. m∠ABC = 62°
11. m∠BCA = 60°
Step-by-step explanation:
We are given the following values for ΔABC, and its exterior angle, ∠ACD:
In ΔABC, the two nonadjacent interior angles are:
m∠A = 58° m∠B = 2x°While the exterior angle, m∠ACD = (5x - 35)°.
In order to solve for questions 9 through 11, we must apply the Exterior Angle Theorem which states that the measure of the exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent or remote interior angles.
Question 9:In order to find the value of x, we can use the Exterior Angle Theorem:
m∠ACD = m∠A + m∠B
(5x - 35)° = 58° + 2x°
5x° - 35° = 58° + 2x°
Subtract 2x from both sides:
5x° - 2x - 35° = 58° + 2x° - 2x
3x - 35° = 58°
Next, add 35° to both sides:
3x° - 35° + 35° = 58° + 35°
3x° = 93°
Divide both sides by 3 to isolate x:
[tex]\displaystyle\mathsf{\frac{3x}{3}\:=\:\frac{93}{3} }[/tex]
x = 31°
Therefore, the value of x = 31°.
Question 10:In order to find m∠ABC, we must first substitute the value of x into m∠B:
m∠B = 2x° = 2(31)° = 62°
Therefore, m∠ABC = 62°.
Question 11:In order to find m∠BCA, we must first find the value of its supplement, m∠ACD, by substituting the value of x derived from question 9.
m∠ACD = 5x° - 35° = 5(31)° - 35° = 120°
Next, substitute the value of m∠ACD into the following equation:
m∠BCA + m∠ACD = 180°
m∠BCA + 120° = 180°
Subtract 120° from both sides:
m∠BCA + 120° - 120° = 180° - 120°
m∠BCA = 60°
Therefore, m∠BCA = 60°.
Verify:In order to verify whether we have the correct values for each interior angles, we can apply the Triangle Sum Theorem which states that the sum of all interior angles of a triangle is equal to 180°. In other words:
m∠A + m∠B + m∠C = 180°.
58° + 62° + 60° = 180°
180° = 180° (True statement).
The Falcons had 3 fewer than twice as many Bears players. If the Falcons had 11 players, how many players were on the Bears?
Here is an encoded message, a message that has been converted into a code.
WRGDB LYD JRRG GDB.
Can you figure out what it says in English? How was the original message encoded?
The Levine family has 10 gallons of gas in the car. The car uses 1 5/8 of a gallon each hour. How long can they drive on 10 gallons of gas?
Answer:
6.15
Step-by-step explanation:
10 gallons is 80/8
1 5/8= 13/8
80 divided by 13 is 6.15384615385 but rounded 6.15
6.15 hours
if its not that then keep rounding to 6.2 or 6hrs
pls help quick
plssss
plssssss
WILL GIVE BRAINLIEST TO
Answer: [tex]\frac{(y+2)^{2} }{4} - \frac{(x-4)^{2} }{9} =1[/tex]
Step-by-step explanation: Big brain
what is the next two terms of the sequence 12,17,22,27
Answer:
32 and 37
Step-by-step explanation:
Because the difference between the values is 5.
Houa is driving to a concert and needs to pay for parking. There is an
automatic fee of $8 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Houa have to pay for
parking if she left her car in the lot for 3 hours? How much total money would Houa have to pay if she left her car in the lot for 3 hours? How much would Houa have to pay if she left her car in the lot for t hours?
Cost of parking for 3 hours:
I
Cost of parking for t hours:
Step-by-step explanation:
let's create the corresponding equation.
it is linear, because the cost per hour is constant, no matter how many hours the car parks.
t is the variable indicating the amount of hours parking.
every hour costs $2.
and $8 is the starting value (we have to pay that, even if we have 0 hours parking time).
cost(t) = 2t + 8
so, the cost after 3 hours is
cost(3) = 2×3 + 8 = 6 + 8 = $14
please help for brainliest!!!!
Answer:
d)
[tex] {i}^{740} [/tex]
Step-by-step explanation:
i¹= i
i²= -1
i³= -i
i⁴= 1
i¹²⁴= i^(124 +0)
i^124 . i^0
i^(4×31) . i^0 = 1³¹. i^0
1.i^0= i^0
= 1
a) i^179= i^(176+3)
i^176 . i³ = i^(4×44) . i³
1⁴⁴. i³ = 1. i³
= -i
b) i^582 = i^(580 + 2)
i^580 . i²= i^(4×145) . i²
1^145 . i²= 1.i²
= -1
c) i^165= i^(164+1)
i^164 . i¹ = i^(4×41) . i¹
1⁴¹ . i¹ = 1.i
= i
d) i^740= i^(740+0)
i^740 . i^0 = i^(4×185) . i^0
1^185 . i^0 = 1. i^0
= 1
i¹²⁴= i^740 = 1
Help...................
Step-by-step explanation:
the surface area of that object consists of
2 triangles (one left, one right)
1 rectangle at the top
1 rectangle at the bottom
1 rectangle in the back
so, we need to calculate the area of each of these 5 areas and sum them up. that's it.
the area of such a triangle is
6×8/2 = 24 m²
we have 2 such triangles, so in total they are 48 m².
the rectangle at the top
10×12 = 120 m²
the rectangle at the bottom
12×8 = 96 m²
the rectangle in the back
12×6 = 72 m²
so the total surface area is
48 + 120 + 96 + 72 = 336 m²
The pool at "Splash Around" is open for 14 weeks during the summer. You can swim for $6 a session, or you can buy membership for
$100 and pay only $4 a session. Which equation would you use to determine how many sessions you must use the pool to justify
buying the membership?
Answer:
Step-by-step explanation:
if x is the number of times you go swimming
100 + 4x < 6x
Out of an 98 day season
If you attend 50 days, the cost is $300 either with or without the membership
Less than 50 days, it's less expensive to just pay the daily rate.
More than 50 days, it's less expensive to have the membership.
Margit works in a factory. She receives a salary of $12 per hour and piecework pay of 12 cents per unit produced. Last week she worked 38 hours and produced 755 units. What was her piecework pay?
Based on the way the piecework pay is calculated, Margit's piecework pay will be $90.60
The piecework pay is 12 cents for every unit that is produced.
Margit was able to produce 755 units in that week so her piecework pay will be:
= Number of units produced x Pay per unit
= 755 x 0.12
= $90.60
In conclusion, Margit should get a piecework pay of $90.60
Find out more on piecework pay at https://brainly.com/question/4692318.
Find the equation, in standard form, of the line parallel to y=-1/5x+7 and passing through the point (-10,-3).
Show work for brainliest!
ANSWER:
y= -1/5x - 5
Since it is parallel, that means that the slope (-1/5x) is the same.
Since it is passing through the point (-10, 3), substitute the numbers in for x and y which means: -3= -1/5*(-10) + b
b stands for the new y-intercept
do the equation, and you should get the answer above!
Over the course of 12 hours the temperature changes a tour of -16°C what is the average change in temperature in one hour
Answer:
- 1 1/3 degree
Step-by-step explanation:
- 16 / 12
A supermarket needs to display 64 boxes of detergent.
The boxes need to be stacked with the same number of boxes in each row.
There should be at least 3 rows with at least 4 boxes in each row.
Choose the correct answers from the drop-down boxes to complete all the ways the boxes of detergent can be stacked.
Choose...
rows with 16 boxes in each row;
8 rows with
Choose...
boxes in each row;
16 rows with
Choose...
boxes in each row.
From the question, we are asked to find the row arrangement of a stack of boxes. Let us take a look at each one of the aforelisted answers
x rows with 16 boxes in each row8 rows with x boxes in each row16 rows with x boxes in each rowSince we are told that the total number of boxes to be stacked is 64, then for the first arrangement, we can deduce that the "x" is going to be 4. This is because multiplying 4 by 16 gives 64. For the second row, using the same calculation, we find that "x" is 8. And that of the third gives our "x" to be 4 as well. We can then adjudge that;
4 rows with 16 boxes in each row8 rows with 8 boxes in each row16 rows with 8 boxes in each rowBearing this in mind, we can see that each of the 3 answers fits into the requirements we are asked.
At least 3 rows, and at least 4 boxes in each row.Hence, all of the options are correct.
To learn more about rows and columns, see here https://brainly.com/question/13196178
Solve the equation. a+3(a−1)=3(2+1) Enter the correct answer in the box. a=
Answer:
I feel like something is wrong with the equation but the answer is a = 3
Step-by-step explanation:
a + 3a - 3 = 6 + 3 = 9
--> 4a = 12 --> a = 3
A large community college has professors and lecturers. The total number of faculty members is 136. The school reported that they have 6 professors for every 11 lecturers. How many professors does the community college employ?
Ms Lewis is hiring a carpenter to repair her shed the cost of carpenter L is shown in the table
Part a. What is the initial cost and hourly rate of carpenter L?
Part B write an equation to repent the function
Part C. Carpenter n charges 60$ an hour and and additional 195$ for the materials needed what is the difference in cost between carpenter N and carpenter L
Initial cost __
rate per hour __
Equation__
difference in cost__
Based on the information given, it can be deduced that the initial cost will be $187 and the hourly rate is $72 per hour.
From the information given, the initial cost is $187. The cost for 2 hours is $259 and the cost for 3 hours is $331.
Therefore, the rate per hour will be:
= $259 - $187 = $72
The equation will then be:
= 187 + 72h
Lastly, the difference in the costs is $72.
Learn more about equations on:
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Sally gets $8.00 each week for allowance. She wants to purchase a used bicycle that costs $24.00. She also wants to donate $8.00 to the food kitchen. Label your drawings with bike.
1. How much money will she have to save for both?
2. How many weeks will it take her to save for both?
3.How many weeks will she have to save if she wants to buy a newer used bicycle
that costs $32.00 and still make her $8.00 donation?
Answer:
1: $32. 2: 4 weeks. 3: 5 weeks
Step-by-step explanation:
1: 8+24=32$
2: 32/8=4=4 weeks
3: 32+8=$40
40/8=5=5 weeks
NEED HELP RN!!! PLS ☹️
Answer:
show the screen clearer !
Step-by-step explanation:
a map of a rectangle park has the length of 4inches and a with of 6 inches. It uses a scale of 1 inch every 30 miles. What is the area of the park
Answer:
720 mi²
Step-by-step explanation:
The map has a scale of 1 in: 30 mi, meaning that for every inch you see on the map, in the real-life location, it will measure 30 miles. So we can find the area of the park on the map and then turn it into miles using the scale:
Area of a rectangle:
[tex]A=bh[/tex]
Replace the known values:
[tex]A=(4)(6)\\ A=24[/tex]
The area on the map is 24 mi², we can turn it to miles using the scale by multiplying our result with 30:
[tex]A=(24)(30)\\ A=720[/tex]
And last but not least, don't forget to put the unit!