The probability is 0.80.
To find the probability of the union of two events, calculate the sum of their individual probabilities and subtract the probability of their intersection.
The probability of the union of events A and B (P(A ∪ B)) can be calculated using the formula:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Given P(A) = 0.50, P(B) = 0.60, and P(A ∩ B) = 0.30, substitute these values into the formula to find P(A ∪ B) = 0.50 + 0.60 - 0.30 = 0.80
Write the formula for a function d(x) that describes the distance between the point p and a point (x,y) on the line.
Noah’s taxable income is $27,156. He is filing as married filing jointly, and he has already paid $3260 in federal taxes. What will he receive or pay after he figures his taxes for the year?
Final answer:
To determine what Noah will receive or pay after figuring his taxes for the year, we need to calculate his tax liability. According to the 2020 tax brackets, a married couple filing jointly with a taxable income of $27,156 falls into the 12% tax bracket. Since Noah has already paid $3,260 in federal taxes, he has overpaid his taxes and will receive a refund of $1.28.
Explanation:
To determine what Noah will receive or pay after figuring his taxes for the year, we need to calculate his tax liability.
First, we need to determine his taxable income after considering his filing status. As he is filing as married filing jointly, we can check the tax brackets for that status.
According to the 2020 tax brackets, a married couple filing jointly with a taxable income of $27,156 falls into the 12% tax bracket. To calculate the tax liability, we multiply the taxable income by the tax rate, which gives us $27,156 * 0.12 = $3,258.72.
Since Noah has already paid $3,260 in federal taxes, he has paid more than his tax liability for the year. In this case, he will receive a tax refund equal to the difference between his tax liability and the amount he has already paid, so the amount he will receive is $3,258.72 - $3,260 = $-1.28.
Therefore, Noah will receive a tax refund of $1.28 after figuring his taxes for the year.
Which is the next term in this pattern ?
January, February, April, July,___
-August
-November
-October
-December
What is the value of p? 4 × 11 × p = 11 × 4 × 5 PLZ
Please help and explain questions 20-22
Write a function rule that gives the total cost c(p) Of p pounds of sugar if each pound costs $.59.
If a particular utility burned 5.40 million tons of coal that was 2.00% sulfur by weight, how many tons of sulfur dioxide was emitted?
Evie buys a coat that is marked down by 30% from the original price. After the markdown, the sale price of Evie's coat is $56.00. What was the original price of the coat before the markdown?
A.$72.80
B.$80.00
C.$86.00
D.$95.20
Make a table showing the probability distribution for the possible sums when tossing two four-sided dice (the sides are numbered 1-4 on each die). (give the probabilities as decimals rounded to four decimal places.)
What is the volume of the figure below if a = 3.9 units, b = 5.7 units, and c = 3 units?
A.157.95 cubic units
B.351.351 cubic units
C.124.605 cubic units
D.113.49 cubic units
what is 6.345 divided by 0.09
How many elements are in the set {A,B,C}?
Answer:
There are 3 elements in the set.
Step-by-step explanation:
Given set,
{A, B, C}
∵ Set is the collection of defined distinct objects,
These objects are called elements of the set,
We have given a set in which A, B, C are present thus they must be distinct,
So, by the above definition,
The given set has three elements.
calculate the area of the lawn covered by an oscillating sprinkler that sprays water in a half circle with a radius of 10ft
Over the past month, a hairstylist has had 49 female clients and 21 male clients. What is the ratio of male clients to female clients for this hairstylist?
The ratio of male clients to female clients for the hairstylist is 21:49, which simplifies to 3:7 after dividing both numbers by the GCD of 7.
The question asks to find the ratio of male clients to female clients for a hairstylist. In this scenario, the hairstylist has had 49 female clients and 21 male clients. To find the ratio of male to female clients, we compare the number of male clients to the number of female clients.
The ratio is expressed as male clients : female clients. Thus, the ratio of male clients to female clients is:
21 male clients : 49 female clients
To simplify the ratio, we find the greatest common divisor (GCD) of 21 and 49, which is 7. Dividing both numbers by 7, we get:
3 male clients : 7 female clients
ANSWER FAST 20 PTS
What is the measure of T?
ABCD RSTU
125°
110°
100°
60°
Answer:
100
Step-by-step explanation:
are you able to classify polygons by their sides and angles
Polygons can be classified by their sides and angles using formulas and definitions like regular polygons with equal sides and angles.
Polygons can be classified by their sides and angles. A regular polygon has equal sides and equal angles, such as an equilateral triangle or a square. The sum of interior angles in any polygon can be calculated using the formula 180 * (n - 2) degrees where n is the number of sides.
If cos(3x)=sin(x+18degrees) what is the value of x
Jenifer has 4/5 as many pictures on her camera as Luisa does Jennifer has 28 pictures on her camera . how may pictures do Jennifer and Luisa
Help with this math question
The given inequality is:
|-8x+24| \leq 16
This inequality can be divided in two parts as:
a) -16 \leq -8x +24
b) -8x + 24 \leq 16
Solving part a:
-16 \leq -8x+24 \\ \\ -40 \leq -8x \\ \\ 5 \geq x \\ or \\ x \leq 5
Solving part b:
-8x+24 \leq 16 \\ \\ -8x \leq -8 \\ \\ x \geq 1
Therefore, the solution to the given inequality is x \leq 5 and x \geq 1. Combining both the ranges we get the solution: 1 \leq x \leq 5.
In interval notation, this solution can be expressed as [1,5
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How can I solve this please:
Solve for q: (4q - 6n)/(3m) = f
General Idea:
Solving for a variable means getting that variable by itself by UNDOING whatever is done to it. We need to perform reverse operation to UNDO.
Applying the concept:
[tex] \frac{4q-6n}{3m}=f\\ \\ To \; undo \; 3m\; in\; the \; denominator \; 3m, \; MULTIPLY \; 3m\; on\; both\; sides [/tex]
[tex] 3m \times \frac{4q-6n}{3m}=f \times 3m\\ \\ 4q-6n=3mf\\Add \; 6n \; both\; sides\\ \\ 4q-6n+6n=3mf+6n\\ Combine \; like\; terms\\ \\ 4q=3mf+6n\\Divide \; 4\; on\; both\; sides\\ \\ \frac{4q}{4} =\frac{3mf+6n}{4} \\ Simplify\; fraction\; in\; left\; sides\\ \\ q=\frac{3mf+6n}{4} [/tex]
Conclusion:
[tex] Solving \; the \; equation \; \frac{4q-6n}{3m}=f \; for q, \; we get...\\ \\q=\frac{3mf+6n}{4} [/tex]
write an equation in slope intercept: 6x+5y=30
What is the solution to the system of equations graphed below
Answer:
Option C is correct
(1, 5)
Step-by-step explanation:
A system of equations contains two or more than two linear equations that divide two or more unknowns.
To find a solution for the system of equations,
we must find a value from the graph that is true for all equations in the given system.
We know that:
If the graphs of the equations intersect,
then there is one solution that is true for both equations.
Given the graph.
There are two lines
Equation of Blue line : y = -x+6
Equation of Red line = y = 2x+3
Since, the graph of two lines y = -x+6 and y = 2x+3 intersects which means there is one solution that satisfies the both equation.
Therefore, the solution to the system of equations graphed is, (1, 5)
5(×-4)+3×-9×=6-(2×+5)+8×
Is the figure on the right congruent to the sample figure? Explain.
Luke and Christopher go to the movie theater and purchase refreshments for their friends.
Luke spends a total of $41.00 on 3 drinks and 10 bags of popcorn.
Christopher spends a total of $11.00 on 2 drinks and 2 bags of popcorn.
Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.
Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.
What is the measure of JK?
What expression represents "one third of the difference between fifteen and some number"?
Possible Answers:
Camilla’s class played soccer for 2/3 hour. She played for 3/5 of the game. How much time did Camilla play? A 5/10 hour, B 6/15 hour, C 5/8 hour, D 6/8 hour. Will chose A as the correct answer. How did he get that answer?
Solution:
we are given that
Camilla’s class played soccer for 2/3 hour.
She played for 3/5 of the game.
we have been asked to find
How much time did Camilla play?
Here we are given total time of play for the whole class and camilla played part of that time so we will just multiply the total play time with the fraction of time that camilla played. That will give the actual play time of camilla.
So camila played for [tex]=\frac{2}{3}*\frac{3}{5} =\frac{6}{15}Hr[/tex]
Hence camilla played for 6/15 Hr.
Hence the correct option ois B.
What is the area of this triangle? A=bh2
A 24 in²
B 30 in²
C 48 in²
D 96 in²
Answer:
a 24
Step-by-step explanation:
In a bag of 25 m&ms, each piece is equally likely to be red, green, orange, blue, or brown, independent of the color of any other piece. find the the pmf of r, the number of red pieces. what is the probability a bag has no red m&ms?
To find the probability mass function (pmf) of the number of red M&Ms in a bag, use the binomial distribution formula. The probability a bag has no red M&Ms is calculated by raising (4/5) to the 25th power, as per the binomial distribution with a success probability of 1/5 and 25 trials.
Explanation:The question involves finding the probability mass function (pmf) of the number of red M&Ms in a bag of 25 M&Ms where each M&M has an equal chance of being one of five colors.
To determine the pmf of the number of red M&Ms, which we'll call r, we can use the binomial distribution, since each M&M is an independent Bernoulli trial with two outcomes (red or not red), and each M&M has the same probability of being red.
The probability of getting a red M&M is 1/5, so the pmf of r for k red M&Ms in a bag of 25 is given by P(r=k) = (25 choose k) × (1/5)^k × (4/5)^(25-k).
To find the probability that a bag has no red M&Ms, we set k to 0 in the pmf formula: P(r=0) = (25 choose 0) × (1/5)⁰ × (4/5)²⁵. This simplifies to (4/5)²⁵, since any number to the zero power is 1 and (25 choose 0) is also 1.