A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.
How to explain the information.For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.
The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.
Learn more about the experiments at
https://brainly.com/question/17274244
#SPJ1
Using the graph below, determine the employee's hourly wage.
Question 1 of 10
Evaluate the following expression. Round your answer to two decimal places.
log79
A. 0.89
Step-by-step explanation:
log(79) = 1.897627091... ≈ 1.90
25 POINTSSSS PLEASE HELP ME I NEED HELP!!! PLZZZ
Which exponential function has the greatest average rate of change over the interval [0, 2]?
Answer:
I think its A
Step-by-step explanation:
A
28⁰
78⁰
B
C
F
ABCD is a circle with centre O. BCF is a
straight line. Angle CBD = 28° and angle FCD
= 78°. What is the size of angle BAC?
(A) 28° (B) 50⁰ (C) 74°
(D) 78°
The size of angle BAC in the given circle is 50°
What is a circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
Since, no figure is given, we will draw a circle according the given information, [attached in the solution]
So, we get a circle with center O, having chords, BC, which is extended to F, DC and AB,
We have, Angle CBD = 28° and angle FCD = 78°
Therefore,
∠ DCB = 180° - ∠ DCF [Linear pair]
∠ DCB = 180° - 78°
∠ DCB = 102°
In Δ DCB,
∠ DCB + ∠ BCD + ∠ BDC = 180°
∠ BDC = 180° - (102°+28°)
∠ BDC = 50°
Since, the angles made by the same chord are equal in measure,
Therefore,
∠ BDC = ∠ BAC
Therefore,
∠ BAC = 50°
Hence, the size of angle BAC in the given circle is 50°
Learn more about circles, click;
https://brainly.com/question/29142813
#SPJ9
If you double a number and then add 28 , you get 4/9
of the original number. What is the original number?
Answer: -124/9 or -13.778
Step-explanation: You may not have any idea how to approach this problem but I can help. We are given some information about a number and asked to find out what number it is. Since we don't know what the number is, we can say that it is X (a variable).
If you double X and add 28 you get 4/9. Doubling X can be represented as 2X. If we add 28 to that, we get 2X+28. We are told we get 4/9 which means that 2X + 28 is equal to 4/9 or 2x + 28 = 4/9.
We have now built an algebraic equation for X. We can now simply solve for X.
2X + 28 = 4/9
2X + 252/9 = 4/9 Rewrite 28 as 252/9 so we have common denominators
2X = -248/9 Subtract 252/9 from both sides
X = -124/9 Divide by 2 on both sides and we get X
Whenever you are given a problem similar to this one, try to create an algebraic equation or expression that can model the problem. A variable can represent the number you are trying to find.
Hope this helps!
Can someone please help with my question?
The required line representing the rise and the run of the line is created.
And the slope of the line in its simplest form is 9/-18.
Given a line is represented on the graph.
we need to create lines representing the rise and run of the line.
To find the slope of the line we need to determine the rise and run of the line.
The slope of a line is defined as the rise divided by the run, or the ratio of the rise to the run. It gives information about a line's slope in the coordinate plane. Finding the slope between two separate places is comparable to calculating the slope of a line.
The coordinates of the points are:
(9,0) = (x₁ , y₁)
(₋9 , 9) = (x₂ , y₂)
we know that slope (m) = rise/ run
rise = y₂ ₋ y₁
= 9 ₋ 0
= 9
run = x₂ ₋ x₁
= ₋9 ₋ 9
= ₋18
hence the slope is 9/₋18
The required slope of the line is 9/-18.
Learn more about Slope of the line here:
brainly.com/question/3493733
#SPJ9
PLEASE HELP, WILL GIVE BRAINLIEST!!!!
see image bellow
Answer:
onomatopoeia
Step-by-step explanation:
onomatopoeia are words that are sounds
Answer:
Onomatopoeia
Step-by-step explanation:
This Venn diagram shows sports played by 10 students.
Karl
Jada
Gabby
PLAYS
BASKETBALL
O A=0.50
OB. 0.29
OC. =0.40
D.
=0.20
Fran
Juan
lan
Ella
Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?
PLAYS
SOCCER
Mickey
Mai
Marcus
The conditional probability for this problem is given as follows:
C. P(A|B) = 2/5 = 0.4 = 40%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:
C. P(A|B) = 2/5 = 0.4 = 40%.
Learn more about the concept of probability at https://brainly.com/question/24756209
#SPJ1
What is the range of the function f(x)=2x^3−3x for the domain {−1, 1, 2}?
The range of the function is {1,-1,10} for function f(x)=2x³−3x .
What is a function?A relation is a function if it has only One y-value for each x-value.
In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.
The given function is f(x)=2x³−3x
The domain is {-1,1,2}
Now f(-1)=2(-1)³-3(-1)
=-2+3=1
f(1)=2(1)³-3(1)=2-3=-1
f(2)=2(2)³-3(2)=16-6=10
Hence, the range of the function is {1,-1,10} for f(x)=2x³−3x .
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ1
The ages of Sonu and Monu are in the ratio 5:7.If Sonu were 9 years older and Monu 9 years younger, the age of Sonu would have been twice the age of Monu .Find their p present age 2 ) The ages of Sonu and Monu are in the ratio 5 : 7.If Sonu were 9 years older and Monu 9 years younger , the age of Sonu would have been twice the age of Monu .Find their present age.
Answer:
Sonu is 15years and Monu is 21 years
Answer this for 10 points
You will be reported if you say the wrong answer
Answer:
the 3rd one or the first one you chooses between them to
Step-by-step explanation:
Greg received 3/8 of the 160 votes cast for class secretary. How many votes did he recevive? Write your answer in simplest form.
Answer:
60
Step-by-step explanation:
A mechanic earns $5 more per hour than his helper. On a six-hour job the two men earn a total of $114. How much does each earn per hour?
Answer:
Step-by-step explanation:
m= the amount of money the mechanic makes.
h= the amount of money the helper makes.
m=h+5
m+h=114
h+5+h=114
2h+5=114
h=54.50
m=59.5
Helper makes $9 an hour.
Mechanic makes $9.92 an hour.
The earning of helper each earn per hour is 7$ /hr.
To find earning of helper per hour.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and also the properties and manipulation of numbers.
Given that:
let the cost /per hour of helper be x
and that of the mechanic is x+5
now for 6 hour job total earning is
6(x+x+5) = 114
=> 2x+5 = 19
so, 2x = 14 or x = 7
the earning of helper is = 7$ /hr
and earning of mechanic is = 12$/hr
So, the earning of helper each earn per hour is 7$ /hr.
Learn more about arithmetic here:
https://brainly.com/question/17120168
#SPJ5
help i will give you 5 star if you answer this math question
Answer:
12
Step-by-step explanation:
12>6
12 is factor of 36 36/12=3
12 is factor of 48 48/12=4
Explain how to modify the graphs of f(x) and G(x) to graph the solution set to the following system of inequalities. How can at least solution set be identified?
Give f(x) a dotted boundary and shade it above.
Give g(x) a solid boundary and shade it above.
The solution set is the region that is in the shaded region of both graphs.
Im so confused- please help
Step-by-step explanation:
a/q
x + x - 3 + 2x - 9 = 36
4x - 12 = 36
4x = 36 + 12 = 48
x = 48/4 = 12
x = 12
so,
x = 12
x - 3 = 12 - 3 = 9
2x - 9 = 2(12) - 9 = 15
we know,
area = 1/2 × base × height
so,
→ 1/2 × 12 × 9
→ 1 × 6 × 9
→ 54 inches.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
help with 6 please i need to graduate
The expression with the correct coefficients in each block is given as follows:
20x³ + 0x² - 7x.
How to obtain the resultant function?The functions in the context of this problem are defined as follows:
f(x) = 4x.g(x) = 5x² - 4.h(x) = 9x.The operation is given as follows:
f(x)g(x) + h(x).
Hence, to obtain the resultant function, we apply the definitions into the operation and the simplify, applying the distributive property and combining the like terms, as follows:
4x(5x² - 4) + 9x = 20x³ - 16x + 9x = 20x³ - 7x.
As there is no x² term, the coefficient of zero multiplies the term x².
More can be learned about functions at https://brainly.com/question/31895757
#SPJ1
how to solve 3 (x + 2) = 21 by dividing first
Suppose we have two random variables X and Y . The one with a
higher coefficient of variation exhibits higher variability Is true, false or uncertain?
The statement that the one with a higher coefficient of variation exhibits higher variability is true.
How to explain thisThe coefficient of variation expresses the proportionate level of variability present in a random variable and can be determined by dividing the mean by the standard deviation.
If the coefficient of variation is higher, it means that the random variable shows more variation in relation to its mean.
To illustrate, suppose that the average height of a set of males is 6 feet with a standard deviation of 2 inches.
The variance ratio would result in a coefficient of variation of 0. 033 Suppose that a group of females has an average height of 5 feet with a standard deviation of 1 inch.
The women's coefficient of variation is calculated to be 0. 02 The variance of men's height in relation to their average height is indicated by their higher coefficient of variation.
Read more about random variables here:
https://brainly.com/question/14356285
#SPJ1
what is the answer to this equation 21 x ___=7
Answer:
the answer is 3
Step-by-step explanation:
21 x 3 =7
hope it helps
Answer:
21/7
Step-by-step explanation:
Move 7 to next side with opposite process it is multiple after move it will be divided so 21x (21/7) it will be 7 although (21/7)equivalent to 1/3
Peter borrowed $100,000 at 8% compounded
annually, how much will he be paying after 2
years?
Answer:
The general formula for this type of problem is F=P[1+(i/n)]^(nt), where F is the Future Worth, P is Present Worth, i is interest, n=1 for annual payments, and t for the number of periods - which is 2. This is solved as: F=100000[1+(0.08/1)]^(1*2)=116640
Step-by-step explanation:
In a class of 80 Students, 30 offered mathematics, 20 offered Accountancy and 40 offered Economics. Those who offered both mathematics and accountancy are more than those who offered both Accountancy and Economics by 2. No student offered all the subjects and none offered both mathematics and Economics. Find the number of students who offered Accountancy only?
The number of students who offered Accountancy only is 10.
Let's represent the number of students who offered Mathematics as M, the number of students who offered Accountancy as A, and the number of students who offered Economics as E.
From the given information:
M = 30 (Number of students who offered Mathematics)
A = 20 (Number of students who offered Accountancy)
E = 40 (Number of students who offered Economics)
We are also given the following conditions:
M ∩ A > A ∩ E by 2
M ∩ E = 0
We know that the total number of students is 80, so:
M + A + E = 80
Now, let's solve for the number of students who offered Accountancy only.
We can start by substituting the given values into the equation:
30 + 20 + 40 = 80
Now, we need to find the value of A ∩ E (Number of students who offered both Accountancy and Economics).
Since none offered both Mathematics and Economics, we can subtract M from A:
A - M = A ∩ E
20 - 30 = A ∩ E
-10 = A ∩ E
Since A ∩ E cannot be a negative number, we know that A ∩ E = 0.
Now, let's use the first condition: M ∩ A > A ∩ E by 2.
Substituting the values, we have:
M ∩ A - A ∩ E = 2
M ∩ A - 0 = 2
M ∩ A = 2
Now, we can substitute the values of M ∩ A and M into the equation M + A + E = 80:
30 + A + 40 = 80
A + 70 = 80
A = 10
For more such question on Accountancy visit:
https://brainly.com/question/28569477
#SPJ8
In the triangle below, what is the m
Answer: 125
Step-by-step explanation:
The sum of all 3 interior angles of a triangle is 180.
18 + (12y + 5) + (4y - 3) = 180
20 + 16y = 180
Subtract 20 from both sides
16y = 160
Divide both sides by 16
y = 10
Now plug y back into equation for angle A
12y + 5
12(10) + 5
120 + 5 = 125
Can someone please answer and provide an explanation for these problems?
The center and radius for each equation are as follows:
40. Center: (3, 2), Radius: 8
41. Center: (-8, 4), Radius: 6
42. Center: (-4, 12), Radius: 2
43. Center: (4, -15), Radius: 3
What is the center and radius of the equations?The standard equations of a circle is given as (x - h)² + (y - k)² = r²
Where the center are (h, k) and the radius of the circle is r.
40. (x - 3)² + (y - 2)² = 64
Center: (3, 2)
Radius: √64 = 8
41. (x + 8)² + (y - 4)² = 36
Center: (-8, 4)
Radius: √36 = 6
42. (x + 4)² + (y - 12)² = 4
Center: (-4, 12)
Radius: √4 = 2
43. (x - 4)² + (y + 15)² = 9
Center: (4, -15)
Radius: √9 = 3
Learn more on equation of circle here;
https://brainly.com/question/24810873
#SPJ1
Sphenathi and other matriculants plan to pass Bloemfontein at 07.25 to travel the above stated distance to Uptington. Determine (to the nearest km/h) the average speed at which they must travel to be in Uptington by 09:45.
Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.
To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.
The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:
2 hours + 20 minutes / 60 = 2.33 hours
Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.
We can use the formula for average speed: average speed = distance / time
In this case, the average speed should be such that the distance divided by the time is equal to the average speed.
d / 2.33 = average speed
Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:
250 / 2.33 = average speed
To find the average speed to the nearest km/h, we'll calculate the result:
average speed ≈ 107.3 km/h
Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.
For more questions on average speed
https://brainly.com/question/553636
#SPJ8
please answer see the image below
Answer:
49.73Step-by-step explanation:
total area = area of rectangle - area of circle
= (13 x 6) - (π 3²)
= 78 - 28.274
= 49.73 sq. units
About 217,000 high school students took the AP Statistics exam in 2017. The free-response section of the exam consisted of five open-ended problems and an investigative task. Each free-response question is scored on a 0 to 4 scale (with 4 being the best). For one of the problems, a random sample of 30 student papers yielded a mean score of x =1.267 and a standard deviation of 1.230. a. Find and interpret the standard error of the mean. b. Construct and interpret a 90% confidence interval to estimate the true mean score on this question.
The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.
What is a confidence interval?The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.
The confidence interval formula is \(\bar x\pm t\frac{s}{\sqrt{n}}\).
Where, \(\bar x\) is the sample mean, t is the critical value, n is the sample size and s is the standard deviation for the sample.
Here,
\(\bar x\) =1.267, s=1.23, n=30
The standard error is Se= 1.23/√30
= 0.2246
Item a:
The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.
Item b:
Using a t-distribution calculator, considering a confidence level of 0.99 with 30 - 1 = 29 df, the critical value is t = 2.7564.
\(\bar x\pm tS_c\)
\(\bar x+ tS_c\) =1.267-2.7564(0.2246) =0.6479
\(\bar x- tS_c\) =1.267+2.7564(0.2246) =1.8861
Therefore, the 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.
To learn more about the confidence interval visit:
https://brainly.com/question/14041846.
#SPJ1
Given: g(x)=√x-4 and h(x) = 2x - 8.
What is g(h(10))?
O 2√2
√6
√6-8
02√6-8
The value of g(h(10)) is 2√2. the correct option is A.
Given that the functions are g(x)=√x-4 and h(x)=2x-8.
A function is defined as the relationship between a set of inputs where each input has an output.
Firstly, we will find the value of h(10) by substituting x=10 in the function h(x)=2x-8.
h(10)=2(10)-8
h(10)=20-8
h(10)=12
Now, we will find g(h(10)) where h(10)=12.
By substituting h(10)=12 in g(h(10)), we get
g(h(10))=g(12).
Further, we will find g(12) by substituting x=12 in the function g(x)=√x-4, we get
g(12)=√(12-4)
g(12)=√8
g(12)=2√2
Hence, the value of function g(h(10)) when g(x)=√x-4 and h(x)=2x-8 is 2√2.
Learn more about the function from here brainly.com/question/24160317.
#SPJ9
INDUSTRY Two identical right cylindrical steel drums containing oil need to be covered with a fire-resistant sealant. In order to determine how much sealant to purchase, George must find the surface area of the two drums.
The surface area, including the top and bottom bases, is given by the
formula S = 2πrh + 2πr^2
Note that the Polynomial Expression for to represent the total surface area of the two drums is: 4πrh + 4hr².
What is a polynomial expression?A polynomial expression is any expression that consists of variables, constants, and exponents and is combined using mathematical operators such as addition, subtraction, multiplication, and division.
According to the number of terms in the expression, polynomial expressions are classed as monomials, binomials, or trinomials.
Given that the total surface area of one cylinder is:
2πrh + 2πr²,
The total surface area of two drums will therefore be:
(2πrh + 2πr²) * 2
⇒ 4πrh + 4hr²
Learn more about Total Surface Areas:
https://brainly.com/question/30135821
#SPJ1
If ABCD is dilated by a factor of 3, the
coordinate of B' would be:
-5 -4
MA
А
B
3
26
1
-2 -10
-1
-2.
-3
C
2 3 4 5
D
B' = ([?], [])
Enter
If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).
What is dilation?In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.
This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.
Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).
Read more on scale factor here: brainly.com/question/20482938
#SPJ1