The average length of time taken to find a full-time job is 16 and the standard deviation is 10.51.
Total Population = N = 18
Data is given below
[tex]x_{i}[/tex] 6 12 21 15 8 4 6 13 16 30 7 24 10 48 15 14 14 25
Mean = μ = ( ∑ [tex]x_{i}[/tex] ) / N
μ = ( 6 + 12 + 21 + 15 + 8 + 4 + 6 + 13 + 16 + 30 + 7 + 24 + 10 + 48 + 15 + 14 + 14 + 25 )/18
μ = 288/18 = 16
Mean = μ = 16
[tex]x_{i}[/tex] 6 12 21 15 8 4 6 13 16 30 7 24 10 48 15 14 14 25
([tex]x_{i}[/tex] - μ)^2 100 16 25 1 64 144 100 9 0 196 121 64 36 1024 1 4 4 81
∑([tex]x_{i}[/tex] - μ)^2 = 100 + 16 + 25 + 1 + 64 + 144 + 100 + 9 + 0 + 196 + 121 + 64 + 36 + 1024 + 1 + 4 + 4 + 81 = 1990
Standard Deviation =√ (∑([tex]x_{i}[/tex] - μ)^2 / N )
Standard Deviation =[tex]\sqrt{1990/18}[/tex] = 10.5145 = 10.51
Thus, the standard deviation is 10.51 and the average length of time taken to find a full-time job is 16 .
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The difference of 3 times a number x and 12 is -24.
Write and solve an equation to find the number.
Equation=
X = ?
The midpoint of AB is M(3, 1). If the coordinates of A are (4, 3), what are the
coordinates
of B
b= (2,-1);
(3,1) - left 1, down 2
what is the remainder when 5^400 is divided by 19
The remainder when [tex]5^{400}[/tex] is divided by 19, the remainder is 17.
Remainder
The Remainder is the value left after the division. If a number (dividend) is not completely divisible by another number (divisor) then we are left with a value once the division is done. This value is called the remainder.
We can write,
[tex]5^{400} = (5^4)^{100} = 625^{100}[/tex]
We know that,
19*33 = 627
Hence, we can write 625 as 627 - 2
It will become,
[tex]\frac{(627-2)^{100}}{19}=\frac{(-2)^{100}}{19}[/tex]
We know that, even power of any number and its negative counterpart will be same.
Hence, we can write,
[tex]\frac{(-2)^{100}}{19}=\frac{(2)^{100}}{19} = \frac{2*2^{99}}{19}[/tex]
We know that 99 = 11*9
Hence, we can write,
[tex]\frac{2*({2^9})^{11}}{19} =\frac{2*512^{11}}{19}[/tex]
We know that,
19*27 = 513
Hence, we can write, 512 as 513 - 1
[tex]\frac{2*(513-1)^{11}}{19}=\frac{2(-1)^{11}}{19}[/tex]
2*(-1)/19 = -2/19
It means the remainder will be 19 - 2 = 17.
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Name:
15 Hannah took a trip to visit her cousin. She drove
120 miles to reach her cousin's house and the same
distance back home. It took her 1.2 hours to get
halfway to her cousin's house. What was her
average speed, in miles per hour, for the first 1.2
hours of the trip? Hannah's average speed for the
remainder of the trip to her cousin's house was 40
miles per hour. How long, in hours, did it take her
to drive the remaining distance? Traveling home
along the same route, Hannah drove at an average
rate of 55 miles per hour. After 2 hours her car
broke down. How many miles was she from home?
Distance was 10 miles away from home.
What is Distance ?
The measurement of distance is the separation between two objects or points, and it can be quantitative or occasionally qualitative. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.
For a journey to see her cousin, Hannah traveled. She traveled 120 miles one way to visit her cousin and 120 miles the other way to return home.
She traveled halfway to her cousin's home in 1.2 hours.
That is 120 / 2 = 60 miles
(Speed = distance/time) 60 miles in 1.2 hours
Average speed = 60 / 1.2
= 50 mph.
For the remainder of the journey to her cousin's home, Hanna's average speed was 40 miles per hour.
Another 60 kilometers remain: Time (= Distance/Speed)
Time = 60/40
= 1.5 hours.
Hanna averaged 55 miles per hour when she made her way home along the same path. Her automobile broke down after two hours.
Find the distance traveled at 55 mph in 2 hours. (Distance = time * speed)
Distance = 55 * 2 = 110miles
So distance from home will be,
= 120 - 110
= 10 miles
Hence, she was 10miles away from her home
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Explain how you would use the commutative property to simplify 8x + 4 + 6x +2.
The commutative property is a mathematical property that states to combine like terms. Like terms are terms that have the same variables and powers.
In the given:
8x + 4 + 6x +2
By adding 8x and 6x, and 4 + 2, you are using the commutative property to simplify this expression.
8x+6x = 14x
4+2=6
The simplified equation is 14x + 6
-------
If you would like to further simplify this expression, factor out the greatest common factor.
The further simplified expression would look like: 2(7x + 3)
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
For the given inequality 2(b + 2) ≥ 24 solution of the graph represented by number line with closed point at 10 with arrow pointing right.
As given in the question,
Given inequality is :
2(b + 2) ≥ 24
Solution of the given inequality 2(b + 2) ≥ 24 is equal to :
2(b + 2) ≥ 24
Divide both the sides by 2
[2(b + 2 )] / 2 ≥ 24 /2
Subtract 2 from both the sides
b + 2 -2 ≥ 12 - 2
⇒ b ≥ 10
Interval form is represented by [10, ∞)
Solution of the graph represent 10 is included to arrow moves towards positive infinity.
Therefore, for the given inequality 2(b + 2) ≥ 24 solution of the graph represented by number line with closed point at 10 with arrow pointing right.
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help i will give 50 points
Answer:
Option 4, 8 1/3
Step-by-step explanation:
-2.5 * - 3 1/3 = 8.3 repeating
8.3 repeating = 75/9
75/9 = 8 1/3
If f(x) = –3(1 – x – 4x2) give f-3.
Answer:
12
Step-by-step explanation:
we enter -3 in for all the x's and rewrite the problem.
-3 (1 - (-3) -4 • 2)
then we calculate ending up with the next problem.
-3 • (-4)
then we simply multiply and end up with 12 as our answer, hope this helped!
Eight leaders and 143 members of a youth club go by bus to a bowling alley.
The Beezer Bus Company has buses for hire that hold 32 passengers each.
Each bus costs £140 to hire.
The cost is split equaly between the members.
The leaders do not pay.
How much does each member need to pay to cover the cost of hiring the buses?
£....
(3 m
Each member of the club needs to pay £ 4.895 to cover the cost of hiring the buses.
A youth club's 143 members and eight leaders ride a bus to a bowling alley.
The buses for hire by the beezer bus company hold 32 passengers each.
The cost of each bus to hire is £140.
There are eight leaders and 143 members.
Therefore, there are a total of 143 + 8 = 151 passengers.
So, the number of buses required will be:
= 151 / 32 = 4.7 ≈ 5 buses
Therefore, the cost of hiring 5 buses will be:
= 5 × £140 = £ 700
As the eight leaders will not ay.
Therefore, the amount each member needs to pay is:
= £ 700 / 143
= £ 4.895
Each member of the club needs to pay £ 4.895 to cover the cost of the buses.
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42. Expanding Circle The radius of a circle is increased from 2.00 to 2.02 m. (a) Estimate the resulting change in area. (b) Estimate as a percentage of the circle's original area.
The change in area is 0.8π [tex]m^{2}[/tex] and percentage is 20%.
What is change in area?
Let A denotes the area of the circle when its radius is r, then A=πr2 Now, the rate of change of the area with respect to its radius is given by, dA dr = d dr(πr2) = 2πr When r= 4cm,(dA dr)r=4= 2π(4) = 8π cm2 per cm Hence, the area of the circle is changing at the rate of 8πcm2/cm
Given,
initial radius = 2m
increased radius = 2.02 m
change in radius dr = 2.02 - 2 = 0.02m
Area = π[tex]r^{2}[/tex] = 4π
dA = 2πrdr
=2π(2)(0.02)
=0.08π [tex]m^{2}[/tex]
Estimated percentage = 0.08/4×100
=2%
Hence, the estimated percentage is 2%.
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10x(-5)+(-6) squared
Answer:-50x+36
Step-by-step explanation:
Answer:
-50+36
Step-by-step explanation:
i hope that helps
Select the correct answer.
What is this expression in simplified form?
5√2-9√6
The correct answer by simplifying 5√2-9√6 is:
- 14.974
Simplification:Simplify means to make something easier to understand. Simplify or simplification in mathematics refers to reducing an expression/fraction/problem to a simpler form. It simplifies the problem by calculating and solving it.Steps to simplify square roots:
Find the radicand's largest factor that is a perfect power of the index.Using that factor, rewrite the radicand as a product of two factors.Rewrite the radical as the product of two radicals using the product rule.Simplify the perfect power's root.Here given the expression,
5√2-9√6
simplifying the expression,
5√2 - 9√6
= 5√2 - 9√2 x √3
= - 14.974
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The question is in the photo, I thought they were all wrong, so I am super confused. Whoever proves me wrong gets 15 points.
Please make sure you know what you are doing before you answer.
If the steps are shaped like rectangular prism, then the expression that can be used to find the volume is option (B) (6×16×6)+(14×16×7)
The steps are shaped like rectangular prism
The length of the rectangular prism = l×w×h
Where l is the length
w is the width
h is the height
First we have to separate the given steps in to two rectangular prism and find the volume of each prism
The volume of the top prism = l×w×h
= 6×16×6 cubic inches
The volume of the bottom prism = l×w×h
= 14×16×7 cubic inches
The total volume = (6×16×6)+(14×16×7) cubic inches
Hence, if the steps are shaped like rectangular prism, then the expression that can be used to find the volume is option (B) (6×16×6)+(14×16×7)
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if three sides of an equilateral triangle measures 3X +12, 8X -3 and 5Y plus one what is the value of X and Y in the length of each side
The value of X and Y in the length of each side of an equilateral triangle is X = 3 and Y = 4
In this question we have been given the equations for the three sides of an equilateral triangle.
3X +12, 8X -3 and 5Y + 1
We need to find the value of X and Y.
We know that all sides of an equilateral triangle are equal.
so, 3X +12 = 8X -3 = 5Y + 1
Consider 3X +12 = 8X -3
3X -8X = - 3 - 12
-5X = - 15
X = 3
Now consider an equation 8X - 3 = 5Y + 1
substitute above value of X in this equation.
8(3) -3 = 5Y + 1
24 - 3 = 5Y + 1
21 - 1 = 5Y
5Y = 20
Y = 4
Therefore, the value of X and Y in the length of each side of an equilateral triangle is X = 3 and Y = 4
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what is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations? (round your answer to four decimal places.)
The probability that maximum speed differs from the mean value by at most 1.5 standard deviations is 0.1336.
What is probability?The probability is typically defined as the proportion of positive outcomes to all outcomes in the sample space. It is written as, P(E) = (Number of favorable outcomes) = Probability of an Event (Sample space).
Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
The probability will be illustrated as:
P(|Z|>1.5)
= P(Z<-1.5) + P(Z>1.5)
= 2*P(Z<-1.5)
Look at the value under the distribution table. This is 0.0668.
= 2 × 0.0668
= 0.1336
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Mike took Jen bowling for the first time. He
bowled two games with scores of 157 and 175.
Jen had never bowled before and scored 78 and
98. What was Mike's average score?
Mike's average score is 166.
What is average?Divide the total by the number of numbers after adding up all the numbers.
Implying something that sits in the midst. The average is the ratio created by dividing the total number of figures in a set by the total number of figures. Averages are used to condense a vast number of data points into a single value. It is a visual depiction of all the data set's available numbers. By adding up all the data values and dividing them by the total number of data points, the average is calculated.
Given Data
Mike bowled two games with scores of 157 and 175.
Sum of scores = 332
Average = [tex]\frac{Sum of scores}{Totak number of bowling}[/tex]
Average = [tex]\frac{157 + 175}{2}[/tex]
Average = [tex]\frac{332}{2}[/tex]
Average = 166
Mike's average score is 166.
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Determine whether each number is rational or irrational.
Answer:
All four of these numbers are rational.
please help meeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Pls help me finish my maths homework
Answer:
answer is 4
because y is directly proportional to x2
Answer:
y is directly proportional to x
y=kx^2
20=2^2k
20=4k
k=5
y=6k
y=6(5)
y=30
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Subtract the expressions.
(4.97n − 3.6) − (3 + 15.6n)
−10.63n − 6.6
−106.30n − 0.6
8.57n − 18.6
20.57n + (−6.6)
The value of subtracting the expressions (4.97n − 3.6) − (3 + 15.6n) is -10.63n − 6.6
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to subtract the expression?The expression is given as
(4.97n − 3.6) − (3 + 15.6n)
Start by opening the brackets
So, we have
(4.97n − 3.6) − (3 + 15.6n) = 4.97n − 3.6 − 3 - 15.6n
Next, we collect the like terms
So, we have
(4.97n − 3.6) − (3 + 15.6n) = 4.97n - 15.6n − 3.6 − 3
Next, we evaluate the like terms
So, we have
(4.97n − 3.6) − (3 + 15.6n) = -10.63n − 6.6
Hence, the value of the expression is -10.63n − 6.6
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The Grand Answer is....
A!
I got the exam right...
Can I get brainliest?
Find the measure of the missing angles.
Answer:
ok
Step-by-step explanation:
c is 85
360-170
190/2
95
c=85
b=95
PLEASE HELP Create a scatter plot for the data below.
Title the graph. Determine an appropriate scale for the x and y axis. Determine an appropriate interval for the x and y axis. Title the axes
A scatter plot for the data shown in the table is plotted and illustrated in the attachment below.
What is a scatter plot?A scatter plot is also referred to as scatter diagram, scatter chart, or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.
In this scenario, the text messages would be plotted on the x-axis of the scatter plot while the age would be plotted y-axis of the scatter plot as depicted in the image attached below.
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Simplify these expressions
a) x x x x x xу ху
b) 2 xx x x x 3 ×ухуху
Answer:
a) x^7 y^2
b) 6 x^8 y^3
Step-by-step explanation:
Exponential expressions
a) x x x x x xу ху
There are 7 x 's in the expression and 2 y's The number of the x's is the exponent for x is the exponent and the same for y
x^7 y^2
b) 2 xx x x x 3 ×ухуху
Multiply the constants 2*3 = 6
Count the x's 8 x's = x^8
Do the same for y 3 y's = y^3
6 x^8 y^3
Which estimate best describes the area under the curve in square units?
Responses
10 units²
10 units²
15 units²
15 units²
30 units²
30 units²
35 units²
35 units²
A curve is graphed on a coordinate plane. The horizontal x-axis ranges from 0 to 5 in increments of 0.5. The vertical y-axis ranges from 0 to 10 in increments of 1. The curve passes through begin ordered pair 0.5 comma 3 end ordered pair, begin ordered pair 2.5 comma 5 end ordered pair, begin ordered pair 3.5 comma 4 end ordered pair, and begin ordered pair 4 comma 2 end ordered pair. The region below the curve is shaded blue.
The estimate that best describes the area under the curve in square units is option B: 15 units².
What does the area under a curve represent?The area under a curve in calculus is a picture of an integral. It is frequently possible to interpret the area under a curve as the total amount of whatever the function is describing.
By performing a definite integral between the two locations, one can determine the area under a curve between two points. Integrate y = f(x) between the limits of a and b to tell about the area under the curve y = f(x) between x = a & x = b.
Therefore, each box:
0.5 × 1 = 0.5 units^2. Then add up the boxes, and it is about 30. So:
30×0.5 = 15 units².
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What is an equivalent expression for −12(8a − 7b) + 8(4x + 3y)?
−96a + 84b + 32x + 24y
−96a − 84b + 32x − 24y
−96a − 7b + 32x + 3y
−96a + 7b + 32x + 3y
The expression which is equivalent to −12(8a − 7b) + 8(4x + 3y) is - 96a + 84b + 32x + 24y.
The correct answer option is option a
How to find equivalent expression?Equivalent expression are expressions which when solved, the results are equal to the old expression.
-12(8a − 7b) + 8(4x + 3y)
Using PEMDAS
P = parenthesisE = ExponentialM = MultiplicationD = DivisionA = AdditionS = Subtraction- 12(8a − 7b) + 8(4x + 3y)
open parenthesis- 96a + 84b + 32x + 24y
Therefore, the equivalent expression for −12(8a − 7b) + 8(4x + 3y) is - 96a + 84b + 32x + 24y.
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what integer represent the total charge of 9 neutrons
What is the answer to this step by step?
|3-6|³ + 72 ÷ 9
Answer:17
Step-by-step explanation:
|-3|^3 + 8
3^3 +8
9+8
17
3. Find the missing part to make the number sentences true.
a.
8 + 0 = +4
d.
5+ = 6 +0
b.
7+2=9+0
e.
6 +
= 4 + 3
C.
5+2=4+
f.
5+4= +3
a. 8 + 0 = 4 +4
d. 5+1 = 6 +0
b. 7+2=9+0
e. 6 +1= 4 + 3
C. 5+2=4+3
f. 5+4= 6+3
How can I locate a lost number?
Missing numbers are those that were omitted from the offered series of numbers with comparable discrepancies. Finding similar differences between the missing numbers and adding their missing values to the appropriate series is how the missing numbers are written.
example
Children are frequently asked to solve number sentences, which are compositions of numbers and mathematical processes. Number phrases contain the following: 32 + 57 =? 5 x 6 = 10 x?
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g(x) = 1/4x + 1
what is g(-16)?
Answer:
24
Step-by-step explanation:
work out the vaule of 2^0
Answer:
Any number raised to 0 is equal to 1
hence: 2^0 = 1