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In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What are the lower and upper limits of a box-and-whiskers display of this data
Answer:
[tex]L =52[/tex] --- Lower Limit
[tex]U =82[/tex] --- Upper Limit
Step-by-step explanation:
Given
[tex]N = 10[/tex]
[tex]Data: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66[/tex]
Required
Determine the lower and upper limits of box and whisker display
First, arrange the data in ascending order
The sorted data is:
[tex]Data: 65, 66, 67, 68, 71, 73, 74, 77, 77, 77[/tex]
The lower limit (L) is calculated using:
[tex]L = Q_1 - 1.5 * (Q_3-Q_1)[/tex]
The upper limit (U) is calculated using:
[tex]U =Q_3 + 1.5 * (Q_3-Q_1)[/tex]
Q1 is calculated using:
[tex]Q_1 = \frac{1}{4}(N+1)[/tex]
[tex]Q_1 = \frac{1}{4}(10+1) = 2.75 = 3rd\ data[/tex]
[tex]Q_1 = 67[/tex]
Q3 is calculated using:
[tex]Q_3 = \frac{3}{4}(N+1)[/tex]
[tex]Q_3 = \frac{3}{4}(10+1) = 8.25= 8th\ data[/tex]
[tex]Q_3 = 77[/tex]
So:
[tex]L = Q_1 - 1.5 * (Q_3-Q_1)[/tex]
[tex]L =67 - 1.5*(77-67)[/tex]
[tex]L =67 - 1.5*10[/tex]
[tex]L =67 - 15[/tex]
[tex]L =52[/tex]
[tex]U =Q_3 + 1.5 * (Q_3-Q_1)[/tex]
[tex]U =67 + 1.5*(77-67)[/tex]
[tex]U =67 + 1.5*10[/tex]
[tex]U =67 + 15[/tex]
[tex]U =82[/tex]
At 12:00 a.m. the temperature was 0° F. By 4:00 a.m., the temperature dropped to five degrees
below zero.
Answer:
the temperature dropped 5 degrees in four hours
Step-by-step explanation:
What is 12% of 507
OA. 6
OB.
7
O c.
10
OD
12
PLEASE HELP, The diameter of a semicircle is 2 meters. What is the semicircle radius
Answer:
Step-by-step explanation:
d= 2r
therefore the radius is 1
Which situations can be simulated using this spinner? Select three options.
find the equation of the line passing through the point (2, -4) that is parallel to the line y=3x+2
Answer (assuming it can be put in point-slope format):
[tex]y + 4 = 3(x-2)[/tex]
Step-by-step explanation:
You can write an equation of a line when knowing its slope and a line it passes through using point slope formula, [tex]y-y_1 = m (x-x_1)[/tex].
1) First, find the slope of the equation. We know it has to be parallel to y = 3x + 2. Lines that are parallel have the same slope, thus the slope of y = 3x + 2 is the slope of the answer as well. y = 3x + 2 is in slope-intercept format, or [tex]y = mx + b[/tex]. The coefficient of the x term, or [tex]m[/tex], represents the slope - so, the slope must be 3.
2) Now, use point-slope formula,[tex]y-y_1 = m (x-x_1)[/tex], to write the equation. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
The [tex]m[/tex] represents the slope, so substitute 3 for [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line crosses through. The line crosses through (2, -4), so substitute 2 for [tex]x_1[/tex] and -4 for [tex]y_1[/tex]. This gives the following answer:
[tex]y - (-4) = 3 (x-(2))\\y + 4 = 3(x-2)[/tex]
In Sahara Desert one day it was 130°F. In the Gobi Desert a temperature of -40°F was recorded. What is the difference between these two temperatures?
Answer: 170 degree difference
Answer:
The difference between two numbers canbbe obtained substracting.
The diffence between 130 °F and -40 °F would be the same as substracting both numebrs (we should put an absolute value as the difference is positive).
130 - (-40) = 130 + 40 = 170 ° F
So the difference is of 179 °F
pls pls help me pls help me
Answer:
68m squared or the first option
Step-by-step explanation:
Select all the expressions that represent the area of the large, outer rectangle in figure A.
Please help quickly.
Answer:
Below three are the options
Step-by-step explanation:
6(3+2)
6*5
6.3+6.2
Answer:
6(3 + 2), 6 * 5, and 6 * 3 + 6 * 2 are all expressions that represent the area of the large outer rectangle in figure A.
5 x 5/10 as a fraction
What is the equation of the line passing through the point ( 0,0), ( 2, 1), and ( -2, -1)
Answer:
so basic 0,0 is not proper so that would mean ( -2)Step-by-step explanation: its the awnser
11a + 22 + 17a - 6 S I M P L I F I E D
Answer:
28a +16
Step-by-step explanation:
11a + 22 + 17a - 6
28a +16
Answer:
28a + 16
Step-by-step explanation:
Combine like terms. Like terms are terms with the same variables, as well as same amount of that variable.
In this case:
11a + 17a + 22 - 6
(11a + 17a) + (22 - 6)
28a + 16
28a + 16 is your answer.
~
1 3rd x 9k plus 12 =15
Answer:
k=1
Step-by-step explanation:
⅓×9k+12 = 15
3k+12 = 15
3k = 3
k = 1
50 POINTS AND MARKED BRAINLIEST IF U DO THIS ASAP!
LOOK AT PICTURE
Answer:
Diagram 2, 12 foul balls
Step-by-step explanation:
12/3=4
12-4=8
A nutritional consulting company is trying to find what percentage of the population of a town is overweight. The marketing department of the company contacts by telephone 600 people from a list of the town's telephone directory. All 600 people give answers to the survey. Which of the following is the most significant source of bias in this survey?
a. Size of sample.
b. Undercoverage.
c. Voluntary response bias
d. Nonresponse.
e. Response bias.
While on vacation in Lancaster, David went out for a dinner that cost $75. If sales tax in
Lancaster is 4% and David left a 20% tip on $75, what was the total cost of his meal?
Answer:
$93.
Step-by-step explanation:
Given that David went out for a dinner that cost $ 75, the price at which a sales tax of 4% was applied, and left a 20% tip on $ 75, to determine the total cost of his meal the following calculation must be performed:
75 + (75 x 0.2) + (75 x 0.04) = X
75 + 15 + 3 = X
93 = X
Therefore, the total cost he payed for his meal was $ 93.
Answer:
ok
Step-by-step explanation:
ok
Which statement about the reflection below is true?
Answer:
A
Step-by-step explanation:
took le test review and got that question right
Answer:
A
Step-by-step explanation:
got it right edge2021
What is the equation of a parabola with vertex (-5,6) and a=3
A y = 3(x + 5)2 – 6
By= 3(x + 5)2 + 6
y = 5(x - 3)2 – 6
Dy=3(x - 6)2 – 5
Answer:
Step-by-step explanation:
y = 3(x+5)² +6
HELP ME PLEASEEE ASAPPP
You do not need to draw the line of best fit, I just need the answers for the rest. Thanks!
Answer:
c
Step-by-step explanation:
A savings account increases from $150 to $159. What is the percent increase of the savings account?
Answer:
6%
Step-by-step explanation:
it increased by 9/150 = 0.06 = 6%
I need help with this
Answer:
They multiplied by 100
Step-by-step explanation:
1 x 1.5 = 1.5
10 x 1.5 = 15
100 x 1.5 = 150
A gallon of milk cost $2.79 in 2000. In 2015, it cost $ 3.98.
Does this show an increase or decrease?
What is the percent change in price?
Answer:
increase, about a 143% increase from milk in 2000
An isosceles right triangle has a hypotenuse that measures 32 inches. To the nearest inch,
what is the measure of each leg of the triangle?
Answer:
28 inch or 27.7 inch
other side is 16 inch
Step-by-step explanation:
We double the triangle and find each hypotenuse for two triangles to determine base as equilateral
32^2 = base
To find height we half base and multiply by slant = 32 inches
32/2 = 16 inch
Height = 32^2 - 16^2 = a^2 = sq rt 1024 - sqrt 256 = sq rt 768
a^2 = sq rt 768 = 27.7128129 = 28 inch or 27.7 inch
i neeeeeeedddd helpppppppppp
Answer:
C.
Step-by-step explanation:
I honestly forget how to do this.
All credit goes to victoradisla08
In 5 years, Nicole will
be old enough to vote in an election. The minimum age
for voting is at least 18 years. What can you say about
how old she is now? Write and solve an inequality to
show how old Nicole is now. Let a represent Nicole's
age now.
Answer:
Nicole is 13 years old because x + 5 = 18
Step-by-step explanation:
PLEASE HELPP! WORTH 20 POINTS
For each situation described for a given linear model, is there a correlation? If
so, is there a causal correlation? Explain.
1. the number of minutes studied for a test and the final test grade
2. the attendance at a baseball game and number of runs the home team scores
in the game
Answer:
B
Step-by-step explanation:
Because
Whats the Quotient for 95÷5
Answer:
12
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
I hope this helps you!
Slope and equation
m = 4\5
(6,-5)
Answer:
[tex]y = \frac{4}{5} x -9.8[/tex]
Step-by-step explanation:
I hope this is what you were looking for.
Answer:
y=4/5x-9.8
Step-by-step explanation:
For this you would need to use point-slope form which is: y-y1=m(x-x1)
All you have to do is put in -5 for y1, 6 for x1, and 4/5 for m.
So, the equation should then be y+5=4/5(x-6)
Then, start by solving the right side of the equation by distributing 4/5 into (x-6)
This will then leave you with the equation, y+5=4/5x-24/5
Next, you have to subtract both sides by 5.
Once done, your final answer should be y=4/5x-9.8
Thomas is saving money for a new mountain bike. The amount (a) Thomas needs to save is more than $50.45. Which inequality models the amount Thomas needs to save?
a > 550.45
<550.45
O $60.45 ca
50 45 = a
Answer:
its c
Step-by-step explanation:
This is because the amount is more than what he needs to save, considering that he is probably has some money in his bank already.