Mr. Lew recorded the average length, in minutes, of phone calls received at work. He recorded the data in the box plots below. A box plot titled Professional Call Length in Minutes. A number line goes from 0 to 11. The whiskers range from 2 to 10, and the box ranges from 3 to 8. A line divides the box at 4. Professional Call Length in Minutes A box plot titled Personal Call Length in Minutes. A number line goes from 0 to 11. The whiskers range from 1 to 11, and the box ranges from 4 to 6. A line divides the box at 5. Personal Call Length in Minutes Which is an accurate comparison of the two data sets? Time spent on professional calls is typically shorter and more consistent than time spent on personal calls. Time spent on professional calls is typically shorter but less consistent than time spent on personal calls. Time spent on professional calls is typically longer but more consistent than time spent on personal calls. Time spent on professional calls is typically longer and less consistent than time spent on personal calls.
Answer:
D
Step-by-step explanation:
i did it
Answer:
A. Time spent on professional calls is typically shorter and more consistent than time spent on personal calls.
Step-by-step explanation:
E D G E N U I T Y 2020
Fill in the table using this function rule.
y= 3x - 3
Answer:
1. -3*-4+3= 15
Y=15
2.-3*-2+3=9
Y=9
3. -3*0+3=3
Y=3
4. -3*2+3= -3
Y= -3
Priscilla’s grandmother’s fruit salad recipe calls for one part apple, one part orange, four parts strawberry, two parts cherry, and three parts grape. Priscilla uses the same measuring cup to measure all of the fruit, so one part is equal to one cup of diced fruit. In this exercise, you will compare the quantities in the recipe to understand ratios better.
Answer:
There are 11 parts of fruit: 4-strawberry, 3- grape, 2, cherry, 1- apple, 1-orange 4/11 from the entine quantity of fruits- strawberry
3/11-grapes
2/11- cherries
1/11- apples
1/11- oranges } ⇒ the quantity of oranges and apples are equal Hope it helps ;>
Lydia bought a shirt at 20% off its retail price of $40. She paid 5% tax on the price after the discount. How much did Lydia paid for the shirt?
Answer:
33.60
Step-by-step explanation:
First determine the discount
40 * 20%
40 *.2 =8
The discount is 8
40-8 = 32
The shirt was 32 dollars before tax
Now find the tax
32 * 5%
32*.05 =1.60
Add the tax to the sale price
32+1.60
33.60
Answer:
33.6
Step-by-step explanation:
40-20%=32
32+5%=33.6
If f(x) = 6x - 5 and (x) = -x + 1 , what is the value of f(g(-3)).
Answer:
19
Step-by-step explanation:
f(x) = 6x - 5
g (x) = -x + 1
f(g(-3))
g(-3) = - (-3) +1 = 3+1 = 4
f(g(-3) = f(4))
f(4)= 6(4) -5 = 24-5 = 19
A bungee jumper falls 150 feet and rebounds 60 feet. This fall and rebound pattern continues, with each rebound being 40 percent of the distance of the previous fall. How far will the bungee jumper rebound on the fifth rebound?
a.) 1.5 feet
b.) 11.7 feet
c.) 806.7 feet
d.) 1572.0 feet
Answer:A.1.5
Step-by-step explanation:
First rebound. 0.4 * 150= 60
Second rebound. 60 * 0.4=24
Third rebound. 24 * 0.4 = 9.6
Fourth rebound. 9.6 * 0.4= 3.84
Five rebound. 3.84 * 0.4= 1.5
The bungee jumper rebound 1.5 feet on the fifth rebound.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that the a bungee jumper falls 150 feet.
And each rebound is 40 percentage of the distance of the previous fall.
So first rebound;
40% of 150 feet = 150 × 40 / 100
= 60 feet
Second rebound = 40% of 60 feet
= 60 × 40 / 100
= 24 feet
Third rebound = 40% of 24 feet
= 24 × 40 / 100
= 9.6 feet
Forth rebound = 40% of 9.6 feet
= 3.84 feet
Fifth rebound = 40% of 3.84 feet
= 1.5 feet
Therefore, 1.5 feet the bungee jumper rebound on the fifth rebound.
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Which of these tables lists all the possible outcomes of flipping 3 coins? (Each row represents one outcome.) Choose all answers that apply: Choose all answers that apply:
Answer:
Table B
Step-by-step explanation:
The table B shows possible outcomes of flipping 3 coins.
What is Outcome in Experiment?A probability experiment is a test in which we execute a series of trials to determine the likelihood of an event occurring in the future. A probability experiment's results may reveal a previously unknown truth or lead us to learn anything about the likelihood (or chance) of an occurrence occurring in the future.
Given:
If three coins are flipped then the possible outcomes are:
{ HHH,
HHT,
HTH
THH,
TTT,
TTH,
THT,
HTT}
So, there total 8 number of outcomes.
But in table 1 the number of outcomes is 5.
Thus, table B shows possible outcomes of flipping 3 coins.
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Estimate the product. Round the first factor to the nearest ten, round the second factor to the nearest hundred, and then multiply 81 x 572
Answer:
48,000
Step-by-step explanation:
The first factor to the nearest 10 is 80.
The second factor to the nearest 100 is 600.
The estimated product is ...
80×600 = 48,000
Rewrite the decimal in the sentence below as a percentage.
The large tanks made up 0.66 of their sales last quarter.
Answer:
0.0066%
Step-by-step explanation:
find the area of the figures
Step-by-step explanation:
1)Area=36sq.units
2)Area=72sq.units
3)Area=190sq.units
Assume the competing hypotheses take the following form: H0: µ1 – µ2 = 0, HA: µ1 – µ2 ≠ 0, where µ1 is the population mean for population 1 and µ2 is the population mean for population 2. Also assume that the populations are normally distributed and that the observations in the two samples are independent. The population variances are not known but are assumed equal. Which of the following expressions is appropriate test statistic?
a. taf
b. 2
c. 1-2 21 n
d. täf 2 t1
Answer:
[tex]t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }[/tex]
Step-by-step explanation:
H0: µ1 – µ2 = 0
HA: µ1 – µ2 ≠ 0
We have given,
The population variances are not known and cannot be assumed equal.
The test statistic for the test is
[tex]t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }[/tex]
Where,
[tex]\bar x_1[/tex] = sample meaan of population 1
[tex]\bar x_2[/tex] = sample mean of population 2
[tex]n_1[/tex] = sample size of population 1
[tex]n_2[/tex] = sample size of population 2
Therefore, this is the test
[tex]t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }[/tex]
what is 4848/40404 written as an improper fraction +34422222222 wiil mark brainliset if right
Answer:
675/12
Step-by-step explanation:
In a random sample of 28 people, the mean commute time to work was 31.7 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 80% confidence interval for the population mean mu. What is the margin of error of mu? Interpret the results.
Answer:
a)The 80% of confidence interval for the Population 'μ' is
(29.9121 ,33.4879)
b) Margin of error of mean ' 'μ' is = 1.7879
Step-by-step explanation:
step(i):-
Given random sample 'n' =28
The mean of the sample x⁻ =31.7 min
The standard deviation of the sample's' =7.2
Step(ii):-
80% of confidence intervals:
The 80% of confidence interval for the Population 'μ' is determined by
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } )[/tex]
Degrees of freedom
γ = n-1 = 28-1 =27
[tex]t_{\frac{\alpha }{2} } = t_{\frac{0.20}{2} } = t_{0.1} = 1.314[/tex]
The 80% of confidence interval for the Population 'μ' is determined by
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } )[/tex]
[tex](31.7-1.314 X \frac{7.2}{\sqrt{28} } , 31.7+1.314 X\frac{7.2}{\sqrt{28} } )[/tex]
(31.7 -1.7879 , 31.7 +1.7879)
(29.9121 ,33.4879)
b)
Margin of error of mean is determined by
[tex]M.E = {\frac{t_{\frac{\alpha }{2} } s}{\sqrt{n} } }[/tex]
[tex]M.E = {\frac{1.314 X 7.2}{\sqrt{28} } }[/tex]
Margin of error =1.7879
You are conducting research for a popular blog to find out the proportion of readers who are satisfied with the site's newly designed navigation. You want to make sure that you increase your chances for capturing the true proportion of readers who are satisfied, but the margin of error is too large.
Which of the following would you do?
A. Use a larger confidence level, but choose a smaller margin of error
B. To increase your confidence, you must be willing to accept a smaller margin of error
C. To get a smaller margin of error, you must be willing to accept lower confidence
D. All of the above
Answer: Option(C) is correct option
Explanation:
Margin of error is the factor that occurs in survey for determining random sampling error. It indicates about confidence interval (CI) through describing difference occurring in poll result and actual population value.If there is high margin of error, then confidence is low because poll result will not reflect the actual population result collected through survey.
According to the question, researcher would try to get small margin of error so that lower confidence interval can be acceptable because large confidence interval(CI) will indicate more margin of error.
Other options are incorrect because small margin of error cannot produce increment in confidence or usage of large confidence.Large confidence interval will result in large margin of error. Thus, the correct option is option(c).
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27. Note: After 50 years of age, both the mean and standard deviation tend to increase.
1. For an adult (under 50) after a 12-hour fast, find the probability that x is between 60 and 110. (Round your answers to four decimal places.)
Answer:
The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
Step-by-step explanation:
Step( i ) :-
Given data the random variable 'X' will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27.
Mean of the Population 'μ' = 83
Standard deviation of the Population 'σ' = 27.
Step(ii):-
Given X =60
[tex]Z_{1} = \frac{x-mean}{S.D} = \frac{60-83}{27} = -0.851[/tex]
Step(iii):-
Given X = 110
[tex]Z_{1} = \frac{x-mean}{S.D} = \frac{110-83}{27} = 1[/tex]
The Probability that between 60 and 110
P(60 < x<110) = P( -0.851 < z< 1)
= P( Z≤1) - P(Z≤ -0.851)
= (0.5 + A(1)) - (0.5- A(-0.851))
= (0.5 +0.3413)- (0.5 - 0.3023) ( check normal table yellow mark)
= 0.8413 - 0.1977
P(60 < x<110) = 0.6436
Final answer:-
The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
The following dot plot shows the pulse rates of runners after finishing a marathon:
dot plot with title of Pulse Rates of Marathon Runners, Pulse Rate on the x axis, and Number of Runners on the y axis with 1 dot over 150, 3 dots over 160, 5 dots over 165, 4 dots over 175
Which of the following data sets is represented in the dot plot?
{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}
{150, 160, 165, 175}
{1, 3, 5, 4}
{150, 160, 162, 164, 165, 165, 166, 167, 168, 175, 174, 176, 175}
Answer:
First one
Step-by-step explanation:
1 dot over 150: 150 once
3 dots over 160: 160 thrice
5 dots over 165: 165 five times
4 dots over 175: 175 four times
{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}
The data sets that represents the dot plot is,{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}.
We have given the,
The following dot plot shows the pulse rates of runners after finishing a marathon.
What is the Pulse Rate?A normal resting heart rate for adults ranges from 60 to 100 beats per minute.
dot plot with the title of Pulse Rates of Marathon Runners, Pulse Rate.
on the x-axis, and the Number of Runners on the y axis with 1 dot over 150, 3 dots over 160, 5 dots over 165, and 4 dots over 175.
1 dot over 150: 150 once 3 dots over 160: 160 thrice 5 dots over 165: 165 five times 4 dots over 175: 175 four times.
Therefore the data sets which represent the dot plot is,{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}
Therefore option first is correct.
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What number should be added to both sides of the equation to complete the square? x2 – 10x = 7
Answer:
25
Step-by-step explanation:
x^2 – 10x = 7
Take the coefficient of x
-10
Divide by 2
-10/2 = 5
Square it
5^2 = 25
Add this to both sides
x^2 – 10x+25 = 7+25
You roll a six-sided number cube (die). What is the BEST answer for the probability that the number rolled is between 1 and 6, inclusive?
A) certain
B) unlikely
C) impossible
D) very likely
Answer: It is A certain.
Step-by-step explanation:
Because all the numbers on a six-sided cube is between 1 and 6 so it is certain or 100/100 that the number will land on a number between 1 and 6.
Consider the initial value problem y' − 9 2 y = 9t + 2et, y(0) = y0. Find the value of y0 that separates solutions that grow positively as t → [infinity] from those that grow negatively. (A computer algebra system is recommended. Round your answer to three decimal places.) y0 = How does the solution that corresponds to this critical value of y0 behave as t → [infinity]?
1, The corresponding solution converges to the function y = 9t.
2. The corresponding solution will decrease without bound.
3. The corresponding solution converges to the function y = −9t.
4. The corresponding solution converges to the function y = 0. The corresponding solution will increase without bound.
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Find the area of the triangle
Answer:
84mm
Step-by-step explanation:
Formula of a triangle:
A =bh/2
A=14(12)/2
A=168/2
A=84mm
A researcher conducts an independent-measures study examining the effectiveness of a group exercise program at an assisted living facility for elderly adults. One group of residents is selected to participate in the program, and a second group serves as a control. After 6 weeks, the researcher records a combined score measuring balance and strength for each individual. The data are as follows:
Control Exercise n = 10 n = 15 M = 12 M = 15.5 SS = 120.5 SS = 190.0
a. Does the exercise program have a significant effect? Use an alpha level of .05, two tails.
b. Compute Cohen�s d to measure the size of the treatment effect.
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
how many square feet of of outdoor carpet will we need for this hole?
Answer:
To convert the feet to square feet we have to multiply the length by the width. In which, we should get the answer as well.
Our length is 2ft, since it's a rectangle the other side is 2ft as well.
The width is 3ft, and the other half is 3ft.
So, basically to get the area of the hole, it'd be 3*2=
Which, it's 6sq ft.
Step-by-step explanation:The actual answer is 36. If I am wrong i am sorry ;3
Some Field Experience in the use of an Accelerated Method in Estimating 28-Day Strength of Concrete" considered regressing y =28-day standard-cured strength (psi) against x =accelerated strength (psi). Suppose the equation of the true regression line is y =1800 +1.3x.
a.What is the expected value of 28-day strength when accelerated strength= 2500? (2 marks)
b.By how much can we expect 28-day strength to change when accelerated strength increases by 1 psi? (4 marks)
c. Answer part (b) for an increase of 100 psi. (2 marks)
d. Answer part (b) for a decrease of 100 ps
Answer:
(a) 5,050 psi.(b) 5,051.3 psi.(c) 5,180 psi.(d) 4,920 psi.Step-by-step explanation:
The given function is
[tex]y=1800+1.3x[/tex]
Where [tex]x[/tex] represents the accelerated strength in psi, and [tex]y[/tex] represents 28-day standard-cured strength in psi.
Part a is about finding the y-value for [tex]x=2500[/tex]
[tex]y=1800+1.3(2500)=1800+3250=5,050[/tex]
Therefore, the expected value of 28-day strength when accelerated strength is 2,500, is 5,050 psi.
Part b is about the y-value for [tex]x=2501[/tex]
[tex]y=1800+1.3(2501)=1800+3251.3=5,051.3[/tex]
Part c is about the y-value for [tex]x=2600[/tex]
[tex]y=1800+1.3(2600)=1800+3380=5,180[/tex]
Part d is about the y-value for [tex]x=2400[/tex]
[tex]y=1800+1.3(2400)=1800+3120=4,920[/tex]
The original price was $12, increased to $15. Find the percent increase
Answer:
25%
Step-by-step explanation:
Take the new price and subtract the original price
15-12 = 3
Divide by the original price
3/12 = .25
Multiply by 100%
25%
The percent increase is 25%
Please help ASAP! Will give BRAINLIEST! Please read the questionTHEN answer correctly! No guessing.
Answer:D
Step-by-step explanation:
(4/5)^0
4^0/5^0=1/1=1
At how many points does the graph of the function below intersect the x-axis?y = 16x^2-8x+1 A.0 B.2 C.1
We need to find D.
D=(-8)²-4×16×1=64-64=0
D=0, so the graph of the function intersect the x-axis at 1 point
Answer: C
In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=57°, and XY = 8 feet. Find the length of YZ to the nearest tenth of a foot.
Answer:
21
Step-by-step explanation:
Answer:
6.7
Step-by-step explanation:
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply
Answer:
A, B
Step-by-step explanation:
After being simplified and put in standard form, the equations are ...
A. 3x² +8x -13 = 0 . . . a quadratic
B. 3x² -x -30 = 0 . . . . a quadratic
C. 4x = -16 . . . . . . . . . a linear equation, not quadratic
D. 3x⁴ -5x -6 = 0 . . . . a quartic equation, not quadratic
Both of the quadratic equations can be solved using the quadratic formula.
Molly wants to buy a skirt. The original price was $40.The skirt is on sale for 12% off. When she goes to pay for it the cashier tells her she can have an additional 13% discount off the sale price, how much will Molly pay for the skirt?
Answer:
$30.62
Step-by-step explanation:
12% of 40 is 4.8
(10% is 4, 2% is 0.8)
40- 4.8= 35.2
13% of 35.2 is 4.576
(10% is 3.52, 3% is 1.056)
35.2- 4.576= 30.624
then rounded to 2 decimal places
30.62
What is true when you rent? A.you build equity in your house,B.you are responsible for any repairs,c. You pay fewer up front costs
Answer: C you pay fee fewer upfront cost
Step-by-step explanation:
