The following table provides a probability distribution for the random variable .
2 0.10
5 0.30
7 0.40
9 0.20
a. Compute (to 1 decimal).
6.3
b. Compute and (to 2 decimals).
3.45 incorrect
1.57 incorrect
Considering the discrete probability distribution, it is found that:
a) The mean is of: 6.3
b)
The variance is of: 4.01.The standard deviation is of: 2.What are the statistical measures for the discrete probability distribution?The mean of the distribution is given by the sum of each outcome multiplied by it's probability, hence it is obtained as follows:
E(X) = 0.1 x 2 + 0.3 x 5 + 0.4 x 7 + 0.2 x 9 = 6.3.
The variance of the distribution is given by the sum of the difference squared between each observation and the mean, multiplied by it's probability, hence it is obtained as follows:
Var(X) = 0.1 x (2 - 6.3)² + 0.3 x (5 - 6.3)² + 0.4 x (7 - 6.3)² + 0.2 x (9 - 6.3)² = 4.01.
The standard deviation is the square root of the variance of the distribution, hence it is obtained as follows:
S(X) = sqrt(4.01) = 2.
Missing InformationWe have that:
Item a asks for the mean of the distribution.Item b asks for the standard deviation and for the variance of the distribution.More can be learned about discrete probability distributions at https://brainly.com/question/27899440
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0/1
At the carnival, there is a game with 600 ducks. If 75% of the ducks have stars on the
bottom, how many ducks have stars? Make sure to label your answer in ducks
Answer:
450 ducks
Step-by-step explanation:
75% can be rewritten as 75/100
75/100 of 600 can be rewritten as 75/100 * 600
Solve 75/100 = 0.75
0.75 * 600 = 450
A classroom ceiling measures 6.8m by 4.7m. It is covered by boards measuring 1m by 1m
a) how many boards are needed altogether
b) How many of them will be cut
c)find the total cost of each board costs #700
There will be 319 boards be required
and the total cost be $223,720.
Given, a classroom ceiling measures 6.8m by 4.7m. It is covered by boards measuring 1m by 1m.
Now, we have to find the number of boards needed altogether
So, the area of the ceiling is
Area = 6.8×4.7
Area = 319.6 m²
Now, the area of the board is
Area = 1 m²
So, 319 boards will be required to cover the ceiling.
Now, if one board costs $700 then,
the total cost be
= 700×319.6
= $223,720
Hence, There will be 319 boards be required
and the total cost be $223,720.
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You have $4,500 on a credit card that charges a 15% interest rate. If you want to pay off the credit
card in 3 years, how much will you need to pay each month?
The 23 members of the westview journalism club are trying to raise at least 2,100 to buy new publishing desgin software. The members have already raised 1180. How much should each student still raise, on average, to meet the goal?
PLEASEEEE
The amount that each student will have to raise on average in order to meet the goal would be $40
How to find the amount to raise?First, find the remaining amount that the members of the Westview Journalism Club are trying to raise:
= Amount to raise - Amount already raised
= 2, 100 - 1, 180
= $920
The amount that each student in the club will have to raise on average can be found as:
= Amount remaining to be raised / Number of students in the Westview Journalism Club
= 920 / 23
= $40
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Select all statements that are true about the graph of h (x) = –3 |x – 1| + 4.
A. Its vertex is at (–1, 4).
B. Its vertex is at (1, 4).
C. Its line of symmetry is x = –1.
D. Its line of symmetry is x = 1.
E. It crosses the y-axis at (0, 1).
F. It crosses the y-axis at (0, 4).
The statements that are true according to the equation h (x) = –3 |x – 1| + 4. are
B. Its vertex is at (1, 4)D. Its line of symmetry is x = 1E. It crosses the y-axis at (0, 1)How to find the functions as requiredThe graph of the described function is attached
The vertex is marked (1, 4) in the graph
The y intercept is marked (0, 1) in the graph
Also from the equation, the y intercept is solved by
h (x) = –3 |x – 1| + 4
plugging the value of x
h (x) = –3 |0 – 1| + 4
h (x) = –3 |– 1| + 4
removing the modulus sign
h (x) = –3 * 1 + 4
h (x) = –3 + 4
h (x) = 1
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Which of these is a factor in this expression
10.
12.
(5x + 3)°
8x°
/(15x-7)°
Answer:
sada
Step-by-step explanation:
Please Add A Picture
The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.
R(x) = 24x
C(x) = 17x + 161
By calculating profit function to break even, the company needs to produce 23 units.
What is meant by profit function?The amount received when a good or service is sold for a price is referred to as revenue. The cost of a product or service is the amount spent on its sale. Profit is defined as the difference between revenue and costs. A profit function is a relationship that shows the difference between the cost and revenue functions. The graph of a profit function can show the best combination of revenue and costs to produce the most profit. This is known as optimization.
Profit is defined as revenue less costs. This means that there is a profit function, P(x).
P(x) = R(x) - C(x)
Breaking even is the point at which revenue begins to exceed costs. It is thus the point at which P(x) = 0. Because these are all linear functions, you know that the business will be profitable after that point.
P(x) = 0
R(x) - C(x) = 0
R(x) = 24x
C(x) = 17x + 161
From the above equation,
R(x)=C(x)
24x=17x+161
7x=161
x=161/7
x=23
For the company to break even, 23 units must be produced.
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How do I simplify this expression
The cost of 15 books is $33.75. Find the cost of 12 such books?
Answer:$27
Step-by-step explanation:
$33.75/15 = $2.25 per book
12 books x $2.25/book = $27
Which of the following choices is the y-intercept of the equation -3x - 2y = 10?
3
-3
5
-5
when potatoes are peeled do you lose more peel when you use big potatoes or small potatoes
Answer:
depends on how you peel it
Step-by-step explanation:
if you peel it with one quick peel, you will have only one
if you do it with 2, you will have 2 peels an so on
The amount of peels will be greater in the bigger potato as compared to the smaller potato.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given data in the question,
There are two potatoes, a small one and a bigger one.
If you peel the bigger one, because of the bigger surface area, you will get more peels as compared to the smaller potato because the surface are is small, and you will get less number of peels.
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Please help, thanks in advance!
Answer: 114
Step-by-step explanation:
firstly, convert meters to centimeters:
2.5m * 100cm in a meter = 250 cm
let the length of the first shelf equal x:
250 = x + (2x + 18) + (x - 12) + (x + 4)
combine like terms:
250 = 5x + ( 18 - 12 + 4) = 5x +10
subtract 10 from both sides:
240 = 5x, then solve for x
240/5 = x
x = 48 cm
the length of the second shelf was 2x + 18, so plug in 48 for x:
2(48) + 18 = 114
Answer:
114 [cm].
Step-by-step explanation:
1) if the length of the 1st shelf is 'x', then
2) the length of the 2d shelf is '2x+18', the 3d shelf is 'x-12' and the 4th shelf is 'x+4';
3) the sum of the all 4 shelves is 250 [cm], then it is possible to make up the equation:
x+(2x+18)+(x-12)+(x+4)=250;
4) the root of the equation above is x=48, then
5) the required length of the 2d shelf is 2*48+18=114 [cm].
A right triangle has a leg length of square root of 6 and a hypotenuse length of 7. Determine the length of the other leg of the right triangle. 3 36 square root of 39 square root of 43
Answer:
√43
Step-by-step explanation:
Implement the Pythagorean formula to solve for sides of a right triangle: a^2 + b^2 = c^2, where "a" and "b" are the legs and "c" is the hypotenuse.
a = √6 and c = 49
√6^2 + b^2 = 49
6 + b^2 = 49
b^2 = 43
b = √43
Answer:
The square root of 43
Step-by-step explanation:
I did this in class the other day
Which number line represents the solution set for the given inequality? X + 1<_ -3 Or -4x < _
-8
Answer:
B
Step-by-step explanation:
OR means that they don't overlap and based on the answer you have in you know how to solve the innequality.
Write an equation for a line parallel to y=-4x+3 and passing through the point (4, -20)
The equation of the line is y = -4x -4.
We need to calculate the line which is parallel to y = -4x +3 and passes through the point (4, -20)
The given equation is y = -4x +3
Comparing this equation with the general equation of the line, y = mx +c, we get the slope of the equation is -4.
Now, When two lines are parallel to each other, their slopes are equal.
So, the slope of the required equation is -4.
Now, the equation of the line which passes through the points, [tex](x_{1} ,y_{1} )[/tex] and has slope m, is given by
[tex]y - y_{1} = m(x-x_{1} )[/tex]
Putting the values in the general equation, we get,
y - (-20) = -4(x - 4 )
y + 20 = -4x +16
y +4x = 16 -20 = -4
The equation of the line is y = -4x -4.
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A fitted linear regression equation is y = 6-2x. If × - 3 and the corresponding observed value of y = 2, the residual at this observation is:
The value of the residual is 2.
We are given a fitted linear regression equation. The equation is given below.
ŷ = 6 - 2x
The x-value for the data points is 3, and the corresponding y-value is 2. We have to find the value of the residual.
We will substitute the given values in the equation of the regression line.
ŷ = 6 - 2x
ŷ = 6 - 2(3)
ŷ = 6 - 6
ŷ = 0
Thus, the predicted value of y in the given regression equation is 0. The actual value of y is 2. The residual is the difference between the actual and predicted values of y. Let the residual be denoted by the variable "r".
r = y - ŷ
r = 2 - 0
r = 2
Hence, the residual is 2.
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Tommy bounces a basketball 25 times in 45 seconds, At that rate, approximately how many
times will pat bounce the ball in 405 seconds?
Tommy will pat bounce the ball 225 times in 405 seconds which was found using the given data.
What is the unitary method's formula?The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value. However, this approach is useful for determining the value of a unit from the value of a multiple, and hence the value of a multiple.Given: In 45 seconds, Tommy bounces a basketball 25 times.
Number of times he will pat bounce the ball in 405 seconds will be given as follows:
= (405 × 25)/45
=225
Therefore, Tommy will pat bounce the ball 225 times in 405 seconds which was found using the given data.
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Given a standard deck of playing cards, what is the probability of drawing each hand:
2 diamonds
1 diamond and 1 heart
Explain why the more likely outcome, above, is more likely
The probability of drawing 2 Diamonds is 1/17.
The probability of drawing 1 diamond and 1 heart is 13/204.
How to find probability for a deck of cards?
In total there are 52 cards in a deck.these 52 cards are divided in 4 suits each having 13 card values.The 4 suits are: Clubs, Spades, Diamonds and Hearts.13 card values are: 2-10, King, Queen, Jack and an AceKing, Queen and Jack are called Face cards.For finding probability of chosen cards to cases arise: 1. With replacement of the drawn card; 2. Without replacement of the drawn cardAccording to the given question:
Since there are 52 cards, the probability of getting a diamond in the first draw is 13/52.
After the first card is drawn, there are just 12 diamonds left.
So, the probability of drawing the diamond now is 12/51.
The total probability is the product of two probabilities
So, P = 13/52 x 12/51 = 1/4 x 4/17
P = 1/17 ≈ 0.058
So the probability of drawing 2 Diamonds is 1/17.
Similarly, we know probability of getting a diamond in first is 13/52.
Also the probability of drawing a heart from 51 cards is 13/51.
The total probability P = 13/52 x 13/51
P = 1/4 x 13/51
P = 13/204 ≈ 0.063
So the probability of drawing 1 diamond and 1 heart is 13/204.
More likely outcome is the one whose probability is closer to unity. Since 13/204 > 1/17 that is 0.063 > 0.058 therefore drawing a heart and a diamond is a more likely outcome.
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An bucket starts with 872 gallons of water and is emptying at a rate of 19 gallons per hour. If I know that the bucket has 8 gallons of water, how long has it been emptying?
Answer:
45.47368421 (round as much as you need)
Step-by-step explanation:
We can model the equation using G(h) = -19h + 872, where -19 is the rate at which the bucket is emptying and 872 is the amount of gallons the bucket starts with.
Since gallons is the output, we would have 8 = -19h + 872 and we simply need to solve for h
[tex](8 = -19h+872)-872\\\frac{(-864=-19h)}{-19} \\h=45.47368421[/tex]
please help!! will mark brainlyist!!
Answer:
1. 4√5
2. 3√5
3. √149
4. √58
Step-by-step explanation:
The Pythagorean theorem states "a^2 + b^2 = c^2", where "a" and "b" are the legs, while "c" is the hypotenuse.
Knowing this, we can substitute each variable with given values on the triangles
1. "4" and "8" are legs "a" and "b" and we need to find the hypotenuse "c"
4^2 + 8^2 = c^2
16 + 64 = c^2
80 = c^2
√80 = c
4√5 = c
2. "6" and "3" are legs "a" and "b" and we need to find the hypotenuse "c"
6^2 + 3^2= c^2
36 + 9 = c^2
45 = c^2
√45 = c
3√5 = c
3. "7" and "10" are legs "a" and "b" and we need to find the hypotenuse "c"
7^2 + 10^2 = c^2
49 + 100 = c^2
149 = c^2
√149 = c
4. "3" and "7" are legs "a" and "b" and we need to find hypotenuse "c"
3^2 + 7^2 = c^2
9 + 49 = c^2
58 = c^2
√58 = c
Find the value of x ( please help die today!)
Answer:tell me the math soulation first
Step-by-step explanation:
Which expression is equivalent to 9 + 4y + 5 + 22 + 8?
Answer: The answer is 11x+4y+13
900 students attend Ridgewood Junior High School. 2% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
The number of students who brought lunch on Thursday is 18 students.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Number of students = 900
Number of students that brought lunch = 2% of 900
The number of students who brought lunch on Thursday.
= 2% of 900
= 2/100 x 900
2 x 9
= 18 students.
Thus,
The number of students who brought lunch on Thursday is 18 students.
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(-9,-4); y=-3x+3
Write an equation for the line in slope-intercept form.
Find the area of a rectangle with dimensions
11/12 in x 1/8 in.
The area of the rectangle is 11/96 in²
How to determine the area of the rectangle?In this question, we have the following parameters
Dimensions of rectangular area: 11/12 in x 1/8 in.
The area of a rectangle is the products of its dimensions
i.e. Area = products of dimensions
This implies that
Area = Length x Width
Substitute the known values in the above equation, so, we have the following representation
Area = 11/12 in x 1/8 in
Evaluate
Area = 11/96 in²
Hence, the rectangle area is 11/96 in²
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Tiana is buying party favors for the guests at her 12th birthday party. Each party favor costs $2.39. If she buys 15 party favors, how much money does she spend?
Answer:
$35.85
Multiply 2.39 * 15
Given the polynomial equation: x^3-7x^2-x+7=0
1. Make a list of possible rational roots
2. Test the possible roots until you find one that produces a reminder of 0. Show your work.
3. Write the resulting quadratic function.
4. Factor or use the quadratic formula to find the final 2 roots.
Susie is visiting Germany from the U.S. One day she stopped by a market and found a stall selling tomatoes for 1.74 euro per kilogram. If 1 euro was worth 1.09
dollars that day, how much did the tomatoes cost in dollars per pound?
First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side of
the equation.
The cost of the tomatoes, in dollars per pound, using proportions, is of:
$0.86 per lb.
What is a proportion?A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of a problem.
In this problem, the costs is obtained as follows:
Cost: 1.74 euros per kilogram.Exchange ratio: 1 euro = 1.09 dollars.Hence the cost in dollars per kg of the tomatoes is obtained as follows:
1.74 x 1.09 = $1.8966 per kg.
The relationship between kg and pounds is given as follows:
1 kg = 2.20 lb.
Hence the cost is written as follows:
$1.8966 per 2.20 lb.
The cost per pound of the tomatoes is of:
1.8966/2.20 = $0.86 per lb.
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