A marble is selected from a bag containing eight marbles numbered 1 to 8. The number of the marble selected will be recorded as the outcome. Consider the following events. Event A: The marble selected has an even number.
Event B: The marble selected has a number from 3 to 6.
a) Event "A or B":
b) Event "A and B":
c) The complement of the event A.
A) - Event "A or B" Consists of the Outcomes:
{2, 3, 4, 5, 6, 8}
B) - Event "A or "B" Consists of the Outcomes:
{4, 6}
C) - The "COMPLEMENT of EVENT "A" Consists of the Outcomes:
{1, 3, 5, 7}
Step-by-step explanation:MAKE A PLAN:
List The OUTCOMES for EACH EVENT and their COMBINATIONS:
SOLVE THE PROBLEM:a) - EVENT "A": {2, 4, 6, 8}
EVENT "B": {3, 4, 5, 6}
EVENT "A" or "B": {2, 3, 4, 5, 6, 8}
b) - EVENT "A" or "B": {4, 6}
c) - The COMPLEMENT of the EVENT "A": {1, 3, 5, 7}
Draw the conclusion:A) - Event "A or B" Consists of the Outcomes:
{2, 3, 4, 5, 6, 8}
B) - Event "A or "B" Consists of the Outcomes:
{4, 6}
C) - The "COMPLEMENT of EVENT "A" Consists of the Outcomes:
{1, 3, 5, 7}
I hope this helps!
Anyone Know This ????!?
Answer:
D
Step-by-step explanation:
As
\(\frac{8}{8}\)
because the rate is of
1/8 and
8/8=1
7x- 8y = -12
-4x + 2y = 3
Answer:
Step-by-step explanation:
7x - 8y = -12
-16x + 8y = 12
-9x = 0
x = 0
-4(0) + 2y = 3
2y = 3
y = 3/2
(0, 3/2)
Zach learns the same amount of money each week doing yard work. If he earns $36
at the end of 4 weeks, how much money does Zachlearn each week?
Answer:
$9 per week
Step-by-step explanation:
36/4 = 9
A wire runs from the top of a 24 foot telephone
pole to a point on the ground 34 feet from the
base of the pole. What is the measure of the angle
of elevation from the point on the ground to the
top of the flagpole ? Round to the nearest degree.
Answer:35 degrees.
Step-by-step explanation:
The height of the pole is the opposite
Which equation is true?
An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.
What is an exponent?In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.
This ultimately implies that, an exponent is represented by the following mathematical expression;
bⁿ
Where:
the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.By applying the multiplication law of exponents for powers to each of the expressions, we have the following:
4 × n × n × n × n = 4n⁴
4 × n⁴ = 4n⁴
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Order the following from least to greatest.
Answer:
Step-by-step explanation:
1. -√(4/9)
2. -0.8
3. -1/6
answer is C
0.2 as a fraction (out of 100)
Write an equation for each line (L,P,N,M)
do you have it on edg???
Following the 2014 national midterm
election, 18% of the governors of the 50 United States we’re female
Parameter, Because the data set οf all 50 gοvernοrs οf the United States is a pοpulatiοn.
What is the percentage?A percentage is a ratiο, fractiοn, οr pοrtiοn οf a whοle which is represented as 100. The wοrd percent cοmes frοm the Latin phrase per centum which means "by the hundred" οr per οne hundred. Percentages can be represented with a numerical value fοllοwed by the percent symbοl (%).
In statistics, a parameter is a numerical value that describes a pοpulatiοn, while a statistic is a numerical value that describes a sample.
In the given statement, it is nοt clear if the value οf 18% is based οn the entire pοpulatiοn οf all gοvernοrs in the United States οr just a sample οf them.
If the statement is based οn the entire pοpulatiοn, then 18% wοuld be a parameter.
Hοwever, if the statement is based οn a sample οf the gοvernοrs, then 18% wοuld be a statistic.
Hence, Parameter, Because the data set οf all 50 gοvernοrs οf the United States is a pοpulatiοn.
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Complete question:
Determine whether the underlined value is a parameter or a statistic.
Following the election, 18% of the governors of the 50 United States were female.
Is the value a parameter or a statistic?
Statistics
Parameter
Solve equation by factoring n^2=5n-4
\(\huge\text{Hey there!}\)
\(\huge\textbf{Equation:}\)
\(\mathsf{n^2 = 5n - 4}\)
\(\huge\textbf{Convert:}\)
\(\mathsf{5n - 4 = n^2}\)
\(\huge\textbf{Subtract }\boxed{\bf n^2}\huge\textbf{ to both sides:}\)
\(\mathsf{5x - 4 - n^2 = n^2 - n^2}\)
\(\huge\textbf{Simplify it:}\)
\(\mathsf{-n^2 + 5x - 4 = 0}\)
\(\huge\textbf{Factor the LEFT side of the equation:}\)
\(\mathsf{(-n + 1)\times (n - 4) = 0}\)
\(\huge\textbf{Simplify that as well:}\)
\(\mathsf{-n + 1 = 0 \ or\ even\ \ n - 4 = 0}\)
\(\huge\textbf{Lastly, simplify that as well:}\)
\(\mathsf{n = 1\ or\ n = 4}\)
\(\huge\textbf{Therefore, your answer should be: }\)
\(\huge\boxed{\frak{n = 1\ or \ n = 4}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Which of the following situations describes a continuous distribution? A probability distribution showing the number of vaccines given to babies during their first year of life A probability distribution showing the average number of days mothers spent in the hospital A probability distribution showing the weights of newborns A probability distribution showing the amount of births in a hospital in a month
Answer:
Continous distributions:
- A probability distribution showing the average number of days mothers spent in the hospital.
- A probability distribution showing the weights of newborns.
Step-by-step explanation:
A probability distribution showing the number of vaccines given to babies during their first year of life will have a discrete distribution as only a natural number can represent the number of vaccines (0, 1, 2 vaccines and so on).
A probability distribution showing the average number of days mothers spent in the hospital can be described as continous because we are averaging days and this average can be fractional, so it is not discrete.
A probability distribution showing the weights of newborns is continous, as the weights are a continous variable (physical measurement), not discrete.
A probability distribution showing the amount of births in a hospital in a month is a discrete distribution, as the number of births can only be represented by natural numbers.
The option that describes a continuous distribution include:
A probability distribution showing the average number of days mothers spent in the hospital.A probability distribution showing the weights of newborns.A continuous distribution simply means the probabilities of the values of a continuous random variable.
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Solve. 4 11/16 ÷1 1/4 ? 2 1/8 2 1/4 3 7/16 3 3/4
Answer:
3 1/4
Step-by-step explanation:
4 1/16÷1 1/4=
65/16÷5/4=
65/16*4/5=
260/80=
3 20/80=
3 1/4
Which graph represents the solution to the inequality 2(b + 2) < 24?
number line with open point at 10 with arrow pointing left
number line with closed point at 10 with arrow pointing left
number line with closed point at 10 with arrow pointing right
number line with open point at 10 with arrow pointing right
The solution to the inequality shows that the circle will be on 10 and pointing to the left.
Solving inequalityInequality are expressions not separates by an equal sign.
Given the inequality expression below:
2(b + 2) < 24
Expand
2b + 4 < 24
2b < 24 - 4
2b < 20
Divide both sides by 2
2b/2 < 20/2
b < 10
Hence the number line with open point at 10 with arrow pointing left.
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Pls help I’ll mark brainliest q
Answer:
(5,30)
Step-by-step explanation:
Kevin went car shopping. The scatterplot at the right shows the relationship between the number of miles each of the cars had and their price. Based on the scatterplot, how much would a car with 75,000 miles cost?
POSSIBLE POINTS
Sarah is making hairbows for 6 friends. She needs 1 yards of ribbon for each hairbow. How many total yards of ribbion will she use?
Answer:
6 yards
Step-by-step explanation:
she need 1 yard of ribbon for each hairbow and 6 friends to make them for
If f(x) = x², which equation represents function g?
By the concept of function, the value of g(x) obtained is
g(x) = 3f(x) is the required function
What is a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Here, from the graph, it can be seen that
g(1) = 3 and g(-1) = 3
Let g(x) = \(kx^2\)
g(1) = 3
\(k(1)^2 = 3\\k = 3\)
So g(x) = \(3x^2\) = 3f(x) is the required function
Option B is correct
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Complete Question
If f(x) = x², which equation represents function g?
A. g(x)=1/3f(x)
B. g(x)=3f(x)
C. g(x)=f(1/3x)
D. g(x)=f(3x)
The diagram has been attached here
Which fraction can be replaced with 0 when estimating with fractions?
A. 1/5
B. 3/4
C. 8/20
D. 4/9
What is the range of the function F(x) graphed below?F(x)= -(x+2)^2+3
Answer:
range of the function F(x) is (-infinity, 3)
Step-by-step explanation:
I do not see the graph function F(x), so will assume that it is a graph of the function F(x) over the complete domain (-inf,inf).
As you can see from the attached graph, the function reaches a maximum at y=+3, and extends all the way to -infinity.
So the range of the function F(x) is (-infinity, 3)
What are the distance between the points? Someone please respond.
Based on the points given, the distance between the two points can be found to be 5.39
What is the distance between the two points?This can be found as:
= √ ((x₁ - x₂)² + (y₁ - y₂)²)
Solving gives:
= √ ((-1 - 1)² + (4 - (-1))²)
= √ (-2² + 5²)
= √ 29
= 5.39
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Suppose 10 percent of households earn over 80.000 dollars a year, and 0.25 percent of households earn over 450,000. A random sample of 400 households has been chosen. In this sample, let X be the number of households that earn over 80,000, and let Y be the number of households that earn over 450,000. Use normal and Poisson approximation, whichever is appropriate in either case, to find the simplest estimates you can for the probabilities P(X 48) and P(Y 2).
Answer:
0.1056
0.2642
Step-by-step explanation:
N = 400
P = 10%
n*p = 400*0.1 = 40
n(1-p) = 400 * 0.9 = 360
40 and 360 are greater than 5 so we use the normal distribution here to estimate further.
mean = n*p = 40
sd = \(\sqrt{np(1-p)}\)
\(\sqrt{400*0.1(1-0.1)} \\= \sqrt{40(0.9)} \\= \sqrt{36} \\= 6\)
p(X≥48)
= p(X≥47.5)
\(=P(Z<\frac{47.5-40}{6} )\\= P(Z<1.25)\)
= 0.8944
1 - 0.8944
= 0.1056
FOR Y
N = 400 p = 0.25% = 0.0025
400 * 0.0025 = 1
1 is less than 5 so we use poisson distribution.
using the excel function,
1 - BINOMDIST(1, 400, 0.0025, TRUE)
= 1 - 0.735759074
= 0.2642
Lauren received a box of cookies. Of the cookies, 22 were chocolate
chip and 18 were snickerdoodle. What percentage of the total
cookies were chocolate chip?
Answer:55%
Step-by-step explanation: 22 + 18 = 40, 40 times 2.5 = 100 so 22 times 2.5 = the percentage which is 55
The test scores for a math class are shown below. 81, 85, 82, 93, 85, 84, 95, 87, 88, 91 39. What are the mean, median, and mode of the data set?
The distribution of monthly charges for cellphone plans in the United States is approximately normal with a mean of $62 and a standard deviation of $18. What percentage of plans have charges that are less than $83.60?
About 88.49% of cellphone plans have charges that are less than $83.60.
How to determine the percentage of plans have charges that are less than $83.60?To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.
z = (x – μ) / σ
where x = 83.60, mean, μ = 62 and standard deviation, σ = 18
Thus, the z-score of $83.60 is:
z = (83.60 - 62) / 18 = 1.2
Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).
Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.
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you and a friend have created a carnival game for your classmates. you plan to charge $1 for each time a student plays, and the payout for a win is $5. according to your calculations, the probability of a win is .05 what is your expected value for this game?
Answer:
The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.
Step-by-step explanation:
Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing
In this case:
Probability of Winning = 0.05
Payout for Win = $5
Cost of Playing = $1
Expected Value = (0.05 * $5) - $1
Expected Value = $0.25 - $1
Expected Value = -$0.75
A rectangle is twice as long as it is wide. If it has an area of 84.5 square inches, what are its dimensions?
Enter them below, separated by a comma.
Answer:
The rectangle is 18 square inches
Step-by-step explanation:
A rectangle has Length that is twice its Width.
The Width = 3.
What is the area of the rectangle?
First, we know that L, the length, is 6 (twice as long as its width).
Remember that the area of a rectangle is Length times Width:
A = L W
and so
A = 6 × 3 = 18
The rectangle is 18 square inches
2x+3y=24 in slope intercept form
Answer:
3y = -2x + 24
y = -2/3x + 8
Step-by-step explanation:
Answer:
The slope-intercept form is y=mx+b y = m x + b
Step-by-step explanation:
where m m is the slope and b b is the y-intercept. Subtract 2x 2 x from both sides of the equation. Divide each term by 3 3 and simplify. Divide each term in 3y=24−2x 3 y = 24 - 2 x by 3 3 .
45% of 40 is 18% of what number?
Answer:
100
Step-by-step explanation:
40 / 100= .4
.4 x 45 = 18
18/18= 1
1x 100= 100
Answer:
100
Step-by-step explanation:
:D
choose the fraction that has not been reduced to simplest form
Answer: What are the fractions
Step-by-step explanation:
Answer:
um what are the fractions???
Step-by-step explanation: