Answers
Answer:
Learning Objective: Use the mean and range to compare the spread and averages.
a) Sarah Mean = 70.9, Katie Mean = 78.9
b) Sarah Range = 15, Katie Range = 25
c) Sentences
- The mean shows, on average, Sarah was 8 seconds quicker than Katie.
- The range shows that Sarah was more consistent with her times. Katie had a larger spread of times which shows she was less consistent.
Step-by-step explanation:
Given:
Sarah's Data Set:
79, 70, 68, 75, 69, 64, 69, 75, 64, 76Katie's Data Set:
79, 79, 76, 81, 89, 76, 64, 85, 82, 78To Find:
The mean and range of both data sets separately.Work:
The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is [tex]\mu = \frac{{\sum}x}{N}[/tex].
The formula for the mean of a sample is [tex]\bar{x} = \frac{{\sum}x}{n}[/tex].
Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values given above, the solution is: [tex]\frac{709}{10} = 70.9[/tex]
Therefore, the mean of Sarah's data set is 70.9.
For Katie's Data Set, [tex]\frac{789}{10} = 78.9[/tex].
Therefore, the mean of Katie's data set is 78.9.
To fill in the summary, we have to use the data we just calculated.
That summary can be found in the answer section.
Answer:
Sarah's mean = 70.9
Katie's mean = 78.9
Sarah's range = 15
Katie's range = 25
The mean shows that on average Sarah was 8 seconds faster than Katie. The range shows that Sarah was more consistent with her times. Katie had a larger spread of times which shows she was less consistent.
Step-by-step explanation:
Identifying the mean time for Katie and Sarah
The mean ( average ) is equal to the sum of the numbers in the data set ( the sum of the swimming times ) divided by the number of values in the data set ( which is given as 10 )
Mean for Sarah : Sum of her swimming times : 79 + 70 + 68 + 75 + 69 + 64 + 69 + 75 + 64 + 76 = 709
Number of values = 10
So mean = 709 / 10 = 70.9 seconds.
Mean for Katie : Sum of her swimming times : 79 + 79 + 76 + 81 + 89 + 76 + 64 + 85 + 82 + 78 = 789
number of values = 10
so mean = 789 / 10 = 78.9
Using this information we can identify what the first to blanks are. The mean shows that on average Sarah was ___ seconds ____ than Katie.
The mean time for Sarah was 70.9 seconds and the mean time for Katie was 78.9 seconds. So on average Sarah was faster and by 8 seconds ( which can be found by subtracting Sarah's mean from Katie's )
Identifying the range
The range is equal to the largest value ( longest swim time ) subtracted by the smallest value ( or quickest swim time )
Range for Sarah : Sarah's highest swim time is 79 seconds and her lowest is 64 seconds.
So her range = 79 - 64 = 15 seconds
Range for Katie : Katie's highest swim time is 89 seconds and her lowest time is 64 seconds
So her range = 89 - 64 = 25
Using this information we can fill out the remaining blanks.
The range shows that ____ was more consistent with her times. ___ had a larger spread of times which shows she was ____ consistent.
The higher the range the less consistent you are vise versa. Katie had a larger range hence, Sarah was more consistent and Katie was less consistent.
Related Questions
Can someone help please
Answers
Answer:
The answer is 2 -option b
Answer:
B) 2
6²(6 × 6) = 36
Enrique is saving money to buy a graphing calculator. So far he has saved $30.
His math teacher told him he has saved 40% of what he will need. How much
does the calculator cost?
Answers
Answer: its free
Step-by-step explanation:
the nearest known exoplanet from earth is 4.25 light years away .how many km is this? give your answer in standard form
Answers
Answer:
4.021 × 10¹³ km
Step-by-step explanation:
The conversion factor of light years to km is;
1 light year = 9.461 × 10¹² km
Thus;
4.25 light years = 4.25 × 9.461 × 10¹² km = 4.021 × 10¹³ km
What is the product of (4y - 5) (3y - 7)?
Answers
Answer
(12y-35)
(4yx3y-5x7)
Answer:
12y² - 43y + 35
Step-by-step explanation:
Multiply each term of the first binomial by each term of the second binomial. Then combine like terms.
(4y - 5)(3y - 7) =
= 4y × 3y + 4y × (-7) + (-5) × 3y + (-5) × (-7)
= 12y² - 28y - 15y + 35
= 12y² - 43y + 35
What is the solution set of y = x2 2x 7 and y = x 7? a. {(0, 7), (-1, 6)} b. {(0, 7), (-7, 0)} c. {(0, 7), (1, 8)} d. {(-2, 0), (4, 0)}
Answers
The solution set of the equation is (0, 7)(-1, 6)
y = x² + 2x + 7
y = x + 7
How to find the solution of an equation sets?
y = x² + 2x + 7
y = x + 7
x² + 2x + 7 = x + 7
x² + 2x - x + 7 - 7 = 0
x² + x = 0
x(x + 1) = 0
Therefore,
x = 0 and x = -1
Substitute the value in equation(ii)
when x = 0
y = x + 7
y = 0 + 7
y = 7
when x = -1
y = -1 +7
y = 6
Therefore, the solution set are (0, 7)(-1, 6)
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A frog wants to cross a stream. The stream is two metres wide. On every jump, Frog covers one-third metre distance. In how many jumps will Frog reach from rock A to rock B?
Answers
1/3 of 2 meters = 66.668 x 3 = 200.004
Reason
If frog jumps 1/3 meter in every jump, it will take 3 jumps to make 1 meter, thus 6 jumps to make 2 meters.
[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]
in the pic
Answers
In the graph given to you, draw the bars according to the frequency given in the table. For example if its “red” then the bar should be at 12.
3/8 of Shiva's weekly allowance is $150. He spent half of his allowance on food. a.How much money did he spend on food.
b.how much money did he remain with
Answers
Answer:
He spent 200$ on food and remained with 200$
Step-by-step explanation:
150/3 = 50
50 * 8 = 400
400/2= 200
400- 200= 200
what is 24 x 24x 25 x 710.
Answers
Answer:
24 x 24 x 25 x 710 = 10,224,000
Step-by-step explanation:
24 x 24 = 576
576 x 25 = 14, 400
14,400 x 710 = 10,224,000
lo que da en total= 10,224,000
Answer:
10224000 i used a calculator
Step-by-step explanation:
1, 2, 2, 3, 4, 6, 8, 9, 10
What is the median?
Answers
Answer:
4
Step-by-step explanation:
Mean (Average) 5
Median 4
Range 9
Mode 2, appeared 2 times
Geometric Mean 3.8971508839086
Largest 10
Smallest 1
Sum 45
Count 9
Sorted Data Set: 1, 2, 2, 3, 4, 6, 8, 9, 10
Maria can stack a pile of wood in 20 minutes, and
alex can stack the same pile of wood in 12 minutes.
how long will it take them both working together
to stack the same pile of wood?
Answers
Answer:
7.5 minutes
Step-by-step explanation:
The stacking rate working together is assumed to be the sum of the separate stacking rates. The rates are given in terms of minutes per pile, but we need to do the computation with rates in terms of piles per minute.
__
total rate = Maria's rate + Alex's rate
= 1/20 piles/min + 1/12 piles/min = (12 +20)/(20·12) piles/min
= 32/240 piles/min = 2/15 piles/min
Then the rate in terms of minutes per pile is ...
1/(2/15 piles/min) = 15/2 min/pile = 7.5 min/pile
When both work together, it will take them 7.5 minutes to stack a pile of wood.
help me please i don't understand
Answers
The depth of the water at the deepest point in the waterslide and to the nearest hundredth of a meter is approximately 0.19 meters. (Correct choice: A)
How to determine the depth of the water in a waterslide
In this question we should apply the concepts of right triangles and trigonometric functions to determine the height of the water within the waterslide. A geometric diagram of the cross section of the waterslide is presented below, which indicates the existence of circular symmetry.
Now we proceed to determine the height of the water:
cos α = (0.5 m/0.75 m)
α ≈ 48.190°
y = (0.75 m) · sin 48.190°
y = 0.559 m
x = 0.75 m - 0.559 m
x = 0.191 m
The depth of the water at the deepest point in the waterslide and to the nearest hundredth of a meter is approximately 0.19 meters. (Correct choice: A)
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thera are 672 eggs in 6 identical boxes
a. How many eggs are in each box?
b. many eggs are edible if half of the eggs are bad?
Answers
Answer:
112 are in each box
336 are edible
Step-by-step explanation:
672÷6= 112
672÷2= 336
How many meters is this?
Answers
Answer:
6.28 meters
Step-by-step explanation:
Circumference is the distance around the circle, given by:
C = pi•d
C = 3.14 • 2
C = 6.28 meters
Answer:
6.28 Meters
Step-by-step explanation:
2pi * r
= 2*3.14
= 6.28 Meters
What is the volume of a sphere with a diameter of 32.5 m, rounded to the nearest tenth of a cubic meter?
Answers
Answer:
17965.1
Step-by-step explanation:
Formula: V = 4/3 pi r^3
r = d/2
r = 32.5/2
r = 16.25
V = 4/3 * 3.14 * (16.25)^3
V = 17965.05 to the nearest tenth is
V = 17965.1
If there are 12 crayons in each box, how many crayons are
there in 1 1/2 boxes?
Answers
Explanation:
1 whole = 12 crayon
1/2 of 12 is 6
12+6=18
Which equation represents the parabola shown on the graph?
O y2 = -2x
O y² = -8x
O x² = -2y
O x² = -8y
Answers
The equation that represents the horizontal parabola given on the graph is:
y² = -8x
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
x = a(y - k)² + h
In which a = 1/p is the leading coefficient.
In this problem, the vertex is (0,0), hence h = k = 0, and:
ay² = x.
The directrix is at x = 2, and the parabola opens left, hence:
p = -4(2 - 0) = -8.
Hence the equation is:
y² = px = -8x.
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On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) and (0, negative 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (1, 0). Everything to the right of the line is shaded.
Which inequality pairs with y≤−2x−1 to complete the system of linear inequalities represented by the graph?
y<−2x+2
y>−2x+2
y<2x−2
y>2x−2
Answers
Answer:
To graph the inequality
y < 2x - 5
we graph the dashed boundary line y=2x-5 with a positive slope of 2 and y-intercept (0,-5) and shade everything to the right.
To graph the inequality y>-3x+1, we graph the dashed boundary line y=-3x +1 with y-intercept (0,1) and shade every above it.
The intersection of the two shadings is the solution to the system of inequalities:
y < 2x - 5
and
y > -3x + 1
Drag the tiles to the correct boxes to complete the pairs.
Simplify the inequalities and match them with the graphs that represent them.
Answers
Answer:
1) 1, 2) 3, 3) 2, 4) 4Step-by-step explanation:
Solve the inequalities and match with the graphs
1) 7x < 42 ⇒ x < 42/7 ⇒ x < 6 ⇔ matching the graph 12) 3x > 15 ⇒ x > 15/3 ⇒ x > 5 ⇔ matching the graph 33) x + 1 < 8 ⇒ x < 8 - 1 ⇒ x < 7 ⇔ matching the graph 24) 2x > 12 ⇒ x > 12/2 ⇒ x > 6 ⇔ matching the graph 4Answer:
7x < 42
x + 1 < 8
3x > 15
2x > 12
Step-by-step explanation:
> means "more than" (shading to the right)
< means "less than" (shading to the left)
Solve the given inequalities
7x < 42
⇒ 7x ÷ 7 < 42 ÷ 7
⇒ x < 6
An open circle on 6, shading to the left
3x > 15
⇒ 3x ÷ 3 > 15 ÷ 3
⇒ x > 5
An open circle on 5, shading to the right
x + 1 < 8
⇒ x + 1 - 1 < 8 - 1
⇒ x < 7
An open circle on 7, shading to the left
2x > 12
⇒ 2x ÷ 2 > 12 ÷ 2
⇒ x > 6
An open circle on 6, shading to the right
At the beginning of the year, Cassandra talks to her cousin about a $1000 loan which she will repay after she graduates from college. On December 31st, her cousin will add 12% interest to the balance of the loan outstanding. If Cassandra makes no payments on the loan until she graduates, which equation shows the loan balance b after n years?
Answers
Using an exponential function, it is found that the loan balance b after n years is given by:
[tex]b(n) = 1000(1.12)^n[/tex]
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, we have that:
She took a $1,000 loan, hence A(0) = 1000.The interest rate is of r = 0.12.Hence the balance b after n years is given by:
[tex]b(n) = 1000(1.12)^n[/tex]
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jacob has 96 books to stack on library shelves. each half can hold 9 books.how many shelves will he need to stack all his books
Answers
Answer:
11 shelves.
Divide 96 by 9
96 ÷ 9 = 10.6
Since 10.6 rounds to 11, and it is more than 10, we will need 11 shelves to store the books, since there is no such thing as a half-bookshelf here.
19. Solve the following inequality.
Answers
Answer:
c
Step-by-step explanation:
(5y - 1) = 4y + (9y - 4) = 5y
2y > .75
Answer:
C. The solution set is {y|y > 0.75}.
Step-by-step explanation:
Given :
5y - 1 < 9y - 4Add 4 to each side.
5y - 1 + 4 < 9y - 4 + 45y + 3 < 9ySubtract 5y from each side.
5y + 3 - 5y < 9y - 5y4y > 3y > 3/4y > 0.75Solution set
C. The solution set is {y|y > 0.75}.
The net of a cone is composed of a circle and a
triangle
wedge
triangle
Answers
Answer:
I would say triangle. But I am not completely sure!
Step-by-step explanation:
Hope this helps!
Answer:Triangle
Step-by-step explanation:
A ball is thrown upward from a height of 15 ft with an initial velocity of 5 ft/s. Use the equation h=-16t^2+5t+15 to answer the following questions. Round to the nearest tenth.
How long will it take for the ball to hit the ground (h=0)?
What is the height of the ball after 0.5 seconds?
Answers
Answer:
1) 1.1 seconds
2) 13.5 feet
Part A[tex]\rightarrow \sf -16t^2 + 5t + 15 = 0[/tex]
Apply quadratic formula:
[tex]\rightarrow \sf t= \dfrac{-5\pm \sqrt{5^2-4\left(-16\right)\cdot \:15}}{2\left(-16\right)}[/tex]
Simplify following
[tex]\rightarrow \sf t=-\dfrac{-5+\sqrt{985}}{32},\:t=\dfrac{5+\sqrt{985}}{32}[/tex]
In decimal form:
[tex]\rightarrow \sf t=-0.825 ,\:t=1.137[/tex]
Conclusion:
As time is be only positive: t = 1.1 seconds
Part B
[tex]\rightarrow \sf h=-16t^2 + 5t + 15[/tex]
insert t = 0.5
[tex]\rightarrow \sf h=-16(0.5)^2 + 5(0.5) + 15[/tex]
simplify
[tex]\rightarrow \sf h=13.5[/tex]
PLEASE HELP WILL GIVE BRAINLIEST!
Evaluate for f(6), show all your work: f(x)=x^2-4
Answers
Answer: 32
Step-by-step explanation:
f(6) = 6^2-4 = 36-4 = 32
who can help me finish a course on edge ive done half of the course already its algebra !!
Answers
Sure, post the questions.
Find the values of x and y.
Answers
Answer: x=60°, y=60°
Step-by-step explanation:
because they are equilateral triangles, which the angles are all 60° Please correct me if I’m wrong, but I’m quite sure.
What is the volume of a sphere with a radius of 6 mm? sphere v = four-thirds pi r cubed v = 216pi mm3 v = 288pi mm3 v = 512pi mm3 v = 648pi mm3
Answers
Answer:
[tex]V =288 \pi \ mm^3[/tex]
Step-by-step explanation:
[tex]V =\frac{4}{3} \pi r^{3}[/tex]
[tex]=\frac{4}{3} \pi \left( 6\right)^{3}[/tex]
[tex]=\left( \frac{4}{3} \right) \times \pi \times 216[/tex]
[tex]=\left( \frac{4}{3} \right) \times 216\times \pi[/tex]
[tex]=288\times \pi[/tex]
Answer:
IT IS B
Step-by-step explanation:
SOURCE: TRUST ME BRO
what is Standard units?
Answers
Answer:
a standard unit is a fixed value this value cannot be changed.
Step-by-step explanation:
it’s a fixed value that can’t be changed.
Standard unit is a unit of measurement that is accepted by the world as a universal unit of measurement that cannot be changed
PLS HELP ILL MARK U BRAINLIST
Answers
Answer:
x = 17 degrees y = 3 units
Step-by-step explanation:
Since angle F and E are equal, sides DE and DF are equal and you now have an equilateral triangle
each angle is 60 degrees so 4x - 8 = 60 shows x = 17
since the sides are equal : 8y-3 = 6y+3 shows y = 3
Answer:
x = 17 , y = 4
Step-by-step explanation:
since EF and DF are congruent , then
8y - 5 = 6y + 3 ( subtract 6y from both sides )
2y - 5 = 3 ( add 5 to both sides )
2y = 8 ( divide both sides by 2 )
y = 4
--------
the triangle has 3 congruent angles , then
3(4x - 8) = 180 ( divide both sides by 3 )
4x - 8 = 60 ( add 8 to both sides )
4x = 68 ( divide both sides by 4 )
x = 17