[Statistics and Probability] How to find if something is mutually exclusive given a sample space?
To find if events A and B are mutually exclusive given a sample space, check if they can occur at the same time. If P(A AND B) = 0, they are mutually exclusive. If they share common outcomes, they are not mutually exclusive.
To determine if two events in a sample space are mutually exclusive, you need to evaluate if the two events can occur simultaneously. If two events, A and B, are mutually exclusive, this means that they cannot happen at the same time, and therefore the probability of A AND B occurring together, denoted as P(A AND B), is zero.
siobhan rounds 99,498 to the nearest thousand and gets 100,00
how is the subtraction of integers related to the addition of integers?
The quotient of two consecutive positive integers is 1.02. What is the sum of these two integers?
Plz help asap I need it badly
The sum of the two consecutive positive integers, approximated to be 51 and 52, is 103.
If the quotient of two consecutive positive integers is 1.02, it indicates a very small difference between the two integers.
However, since integers cannot have fractional parts, the quotient cannot be exactly 1.02. If we assume the quotient is approximately 1.02, it means the two consecutive integers are very close to each other.
Let's solve it:
Let's denote the smaller integer as x, then the larger one would be x + 1.
So, we have:
[tex]\[\frac{x}{x + 1} \approx 1.02\][/tex]
Now, we can cross multiply:
[tex]\[x \approx 1.02(x + 1)\][/tex]
[tex]\[x \approx 1.02x + 1.02\][/tex]
Subtract 1.02x from both sides:
[tex]\[0.02x \approx 1.02\][/tex]
Now, divide both sides by 0.02:
[tex]\[x \approx \frac{1.02}{0.02}\][/tex]
[tex]\[x \approx 51\][/tex]
So, one integer is approximately 51. The next consecutive integer would then be 52.
The sum of these two integers is 51 + 52 = 103.
Thus, the sum of the two consecutive positive integers is approximately [tex]\(\boxed{103}\).[/tex]
Which pair of points have equal X coordinates?
The points T and S will have the same abscissa, and the points Q and R have the same abscissa. Then the correct options are A and D.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The pair of points that have equal X coordinates that is abscissa will be
From the diagram, the coordinate of the points R, Q, S, and T will be
R ⇒ (-5, -7)
Q ⇒ (-5, 6)
S ⇒ (5, -6)
T ⇒ (4, 6)
The points Q and R have the same abscissa.
Then the correct options are A and D.
More about the coordinate geometry link is given below.
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Can someone plz help me with this math problem.
The revenue from selling x shirts is r(x) = 11x.
The cost of buying x shirts is c(x) = 6x + 20.
The profit from selling x shirts is p(x) = r(x) – c(x).
What is p(x)?
MULTIPLE CHOICE:
A. p(x) = 17x + 20
B. p(x) = 17x – 20
C. p(x) = 5x + 20
D. p(x) = 5x – 20
The table shows the record monthly high and low temperatures for a city in Alaska.
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
High(F) 56 57 56 72 82 92 84 85 73 64 62 53
Low(F) -35 -38 -24 -15 1 29 34 31 19 -6 -21 -36
a. Find the range of temperatures for each month.
b. What are the all-time high and low temperatures?
c. What is the range of the temperatures in part (b)?
Answer:
it is 40 f to -3 f
Step-by-step explanation:
so i just subtracted and got 3 supposedly. than ad another 37 and got 40 so it is 40 f to - 3 f
Assume that a balloon is spherical shaped. If you have a. Balloon with a radius of 3 cm, what's the volume?
Which is a better approximation of the square root of20, 4.5 or 4.47
Answer:
4.47
Step-by-step explanation:
Given : [tex]\sqrt{20}[/tex]
To Find : Which is a better approximation
Solution:
20 lies between two perfect squares i.e. 16 and 25
Square root of 16 = 4
Square root of 25 = 5
So, Square root of 20 must lie between 4 and 5
Using calculator
The [tex]\sqrt{20}=4.47[/tex]
Hence a better approximation of the square root of 20 is 4.47.
Find the sum.
− 5/8 + 3/4
Answer choices:
A. - 1 1/8
B. - 7/8
C. - 5/8
D. - 1/8
E. 1/8
F. 3/4
G. 1 1/2
How do I solve this and write it in scientific notation?
Figure ABCD is a parallelogram with point C (3, −2). Figure ABCD is rotated 90° counterclockwise to form figure A′B′C′D′. What coordinate would be the output for point C'?
Answer: (2,3) C’
Step-by-step explanation:
I took the test and got it right
Evaluating expressions.
3. When she was 2 months old. Fiona weighed 101 pounds. She gained x pounds over the next week. Write an expression to find Fiona's new weight.
B. Evaluate the expression Fiona gained 12 lbs. during that week
4. Fiona's parents Henry and bibs, each produce p pounds of poop every day. Write an expression to find how much waste is produced in d days by the 2 hippos
B. Evaluate the expression Henry and bibi each produce 44 pounds of poop daily. How much do they create in 14 days?
Senator Sano put 0.3 tsp of chocolate syrup in his milk. He tasted it and decided he needed more, so he mixed in 1.64 tsp more. How much chocolate syrup is in his milk? I think it's 4.92.
What times what equals 19
There were 340,000 cattle placed on feed. Write an equivalent ratio that could be used to find how many of these cattle were between 700 and 799 pounds. How many of the 340,000 cattle placed on feed were between 700 and 799 pounds?
There were 340,000 cattle placed on feed
How many of the 340,000 cattle placed on feed were between 700 and 799 pounds?
Given the fraction of total cattle for 700 - 799 pounds is 2/5
Let x be the number of cattle between 700 - 799 pounds
We make a proportion using the fraction
[tex]\frac{2}{5} = \frac{x}{340,000}[/tex]
Cross multiply it and solve for x
340000* 2 = 5x
680000 = 5x
Divide by 5 on both sides
So x= 136,000
There were 136,000 cattle between 700 and 799 pounds
The perimeter of a rectangle is 24 feet. The length is 3 feet less than twice the width. Which of the following systems would be used to solve this problem ???
The system of equations are 24 = 2(l + w) and l = 2w - 3 option third is correct.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Let l be the length and w be the width of the rectangle
By the formula of perimeter:
24 = 2(l + w)
l = 2w - 3 (The length is 3 feet less than twice the width)
The system of equations:
24 = 2(l + w)
l = 2w - 3
Thus, the system of equations are 24 = 2(l + w) and l = 2w - 3 option third is correct.
Learn more about the rectangle here:
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A bus makes a stop at 2:30, letting off 14 people and letting on 5. The bus makes another stop ten minutes later to let off 4 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
What is 5.43+2.67 equal using front end estimation
math question down below
peter bought 6 mangoes at $x each. He also bought a papaya for $5. Express the total cost of the fruits in terms of x.
Which of the following isn’t true?
The verbal expression of 1/8y
Find the LCM of 6 and 12
what is 74.06 as mixed number?
A recipe calls for 2 1/2 cups of sugar. You have 2 1/3 cups of sugar. Do you have enough sugar? If not, how much more sugar is needed? Explain your answer
6x10 to the power of zero
In a lab, a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio of the amount of the 30% solution to the amount of 5% solution used to create the 10% solution?
1:3
1:4
1:5
1:6
1:4 is the answer to the question.
Answer:
Option B. 1 : 4.
Step-by-step explanation:
In a lab 30% acid solution and 5% acid solution were mixed to prepare 10% acid solution.
We have to calculate the ratio of both the acids should be mixed to prepare 10% acid solution.
Let the volume of 30% solution was used = x ml
and the volume of 5% acid was used = y ml
Therefore the equation will form as
30%.x + 5%.y = 10%.(x + y)
0.30x + 0.05y = 0.10(x + y)
Now we transfer the similar terms in one side of the equation.
0.30x - 0.10x = 0.10y - 0.05y
0.20x = .05y
[tex]\frac{x}{y}= \frac{.05}{0.20}[/tex]
x : y :: 1 : 4
Therefore solutions will be mixed in a ratio of 1 : 4
Option B. 1 : 4 is the right answer.
If the probability of rain is 0.87, what is the probability of NO rain?