Answer:
Lower Quartile = 25.5
Upper Quartile = 61.5
IQR = 36
Step-by-step explanation:
Given data is:
5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71
The lower quartile is the first quartile and upper quartile is the third quartile.
A median divides the data set in two equal halves.
Lower quartile also known as first quartile is the middle value in the first half.
The first half is:
5, 12, 17, 23, 28, 31, 37, 41
As the number of values is even, the quartile will be the average of two middle values
[tex]Q_1 = \frac{23+28}{2} =\frac{51}{2}= 25.5[/tex]
Upper quartile is the average of middle two values in the second half when the number of values is even.
42, 49, 54, 58, 65, 68, 73, 71
[tex]Q_3 = \frac{58+65}{2} = \frac{123}{2} = 61.5[/tex]
Interquartile range is the difference of third quartile and first quartile
[tex]IQR = Q_3 - Q_1 = 61.5-25.5=36[/tex]
Hence,
Lower Quartile = 25.5
Upper Quartile = 61.5
IQR = 36
The coordinates of the vertices of △XYZ are X(−5, 5), Y(−3, −2), and Z(4, 0). The slope of XZ is __, the slope of YZ is __, and the slope of XY is __. △XYZ __ a right triangle because ____________.
-7/2 -5/9 -2/7 2/7 9/5 is is not no two of these slopes have a product of -1 two of these problems have a product of -1
Answer:
Slope of XZ = -5/9
Slope of YZ = 2/7
Slope of XY = -7/2
Step-by-step explanation:
Slope is expressed as;
m = y2-y1/x2-x1
For XZ
X(−5, 5), and Z(4, 0)
Slope of XZ = 0-5/4-(-5)
Slope of XZ = -5/4+5
Slope of XZ = -5/9
For YZ
Y(−3, −2), and Z(4, 0).
Slope of YZ = 0-(-2)/4-(-3)
Slope of YZ = 2/4+3
Slope of YZ = 2/7
For XY
X(−5, 5), Y(−3, −2)
Slope of XY = -2-5/-3-(-5)
Slope of XY = -7/-3+5
Slope of XY = -7/2
For two lines to be perpendicular, the product of their slope must be -1
Taking the product of XY and YZ
mXY * mYZ = -7/2 * 2/7
mXY * mYZ = -1
since the product of mXY and mYZ is -1. this shows that line XY is perpendicular to YZ and showing that the triangle XYZ is right triangle
Probability Questions Help is needed plzzzzzzzzzz
Answer: 0.0049 hope this is right
1. A family eats at a restaurant. The bill is $42. They have a coupon that gives them 15% off
their meal. The family then leaves a 20% tip.
a. How much did the family spend on the meal after the coupon?
b. How much did the family spend on the meal in total?
[tex]42 - 42 \times 15\%[/tex]
[tex] =42 - 42 \times \frac{15}{100} [/tex]
[tex] =42 - 21 \times \frac{15}{50} [/tex]
[tex] =42 - \frac{315}{50} [/tex]
[tex] = 42 - 6 \: \frac{15}{50} [/tex]
[tex] = 41 \: \frac{50}{50} - 6 \: \frac{15}{50} [/tex]
[tex] = 35 \: \frac{35}{50} [/tex]
[tex] = 35.70[/tex]
Answer:The family did spend $35.70 on the meal after the coupon
b.Solution:[tex]35.70 + 42 \times 20\%[/tex]
[tex] = 35.70 + 42 \times 0.2[/tex]
[tex] = 35.70 + 8.4[/tex]
[tex] = 44.10[/tex]
Answer:The family did spend $44.10 on the meal in total.
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Please help its due today
Jody wants to build a rectangular garden that has dimensions 16 feet by 24 feet. Fence post must be placed 4 feet apart.
Create a diagram that locates each post.
How many post will Jody need?
Answer:
8 posts total on both the 16 ft. sides(there are 4 sides to a rectangle), 12 posts on both the 24 ft. sides(there are 4 sides to a rectangle)
Step-by-step explanation:
they are spaced 4 ft apart. Jody will need 20 total posts.
find the nth term of this quadratic sequence
2, 8, 18, 32, 50,
A graph showing a proportional relationship will...
Compote table please help me please?
What word describes the slopes of the line
Answer:
Positive
Step-by-step explanation:
There are a couple ways we can go about this.
First, we can see that as x increases, so does y, so that means its positive
For perspective, if x is the amount of time and y is the number of sales, we can see that the sales are going up and not going down or staying at the same place
If you wanna check your work on that, you can plot two points and find the slope using y1-y1/x1-x2 and the slope will be positive.
We can also use the process of elimination, we know it can't be zero because it's not a straight, horizontal line and we know its not undefined because it isn't a straight vertical line, so it's between negative and positive, and since the line is going up, that means that it's positive.
The Corner Cafe recently served 8 pastries, including 4 blueberry scones. Considering this data, how many of the next 18 pastries served should you expect to be blueberry scones? blueberry scones
Answer:
9
Step-by-step explanation:
because half of the 8 pastries served were blueberry. so you would divide 18 by 2
Write the decimal 0.00383 in words
Answer:
point zero zero three eight three
Answer: three thousandths
Step-by-step explanation:
hope this helped
Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the following loans meet Melanie’s criteria?
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
a.
B only
b.
A and C
c.
A and B
d.
None of these fit Melanie’s criteria.
Answer:
The correct answer is C.
Step-by-step explanation:
Giving the following information:
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
To calculate the effective annual rate, we need to use the following formula:
Effective annual rate= [(1+i)^n] - 1
Loan A:
i= 0.09265/52= 0.001782
Effective annual rate= [(1.001782^52) - 1]
Effective annual rate= 0.097 = 9.7%
Loan B:
i= 0.09442/12= 0.007868
Effective annual rate= [(1.007868^12) - 1]
Effective annual rate= 0.0986 = 9.86%
Loan C:
i= 0.09719/4= 0.02439
Effective annual rate= [(1.02439^4) - 1]
Effective annual rate= 10.11%
Answer:
c
Step-by-step explanation:
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Select ALL the expressions that are greater than one
A: 4 Divided by 3/4
B: 1/3 Divided by 10
C: 5/6 Divided by 2/5
D: 3 1/8 Divided by 2 7/8
E: 9/7 divided by 8/7
Answer: The answers are all of the options except for B.
Step-by-step explanation:
Option A. 4/1 x 4/3 is 16/3. 16/3 > 1
Option B. 1/3 x 1/10 is 1/30. 1/30 < 1
Option C. 5/6 x 5/2 is 25/12. 25/12 > 1
Option D. 25/8 x 8/23 is 200/184. 200/184 > 1
Option E. 9/7 x 7/8 is 63/56. 63/56 > 1
Hence, the correct answer is option A, C, D, and E.
The graph of a system of linear equations with the same slope and the same y-intercepts will have no solutions.
Always
Sometimes
Never
Answer:
Never
Step-by-step explanation:
If two equations have the same slopes and the same y-intercepts they are equivalent to each other
Here's why:
The formula for a linear equation is y= mx +b
b= y- intercept
m= slope
m and b are only variable that have to be replaced by a number for the equation to be complete
Therefore, when m and b (or the slope and the y-intercept) of both equations are the same, the two equations are the same
The answer would be allrealnumbers, not nosolutions
Hope this helps!!!
A computer is normally $550 but is discounted to $385. What percent of the original price does Mark pay?
Can someone help me?
Answer:
70%
Step-by-step explanation:
385/550 giving you a decimal of 0.7 which is 70%
what is different of the four shapes?
Answer:
It has only 1 pair of parallel sides.
Step-by-step explanation:
Answer:
It has only 1 pair of parallel sides
Step-by-step explanation:
which expression is equivalent to 3(7v)
3x+8=35 Show your work
Answer:
x=9
Step-by-step explanation:
So first subtract 8 on both Sides
3x+8-8=35-8
3x=27
Now divide 3 on both sides to isolate the variable x
x=9
So x=9
Answer:
so to do this you need to subtract 8 from 35 to get 27 now do 27 divide by 3 to get 9
3x+8=35
3x=35 - 8 = 27
3x = 27
3x divided by 27 = 9
Step-by-step explanation:
What is the domain of f(x) = 5^x - 7?
A.) {x| x > -7}
B.) {x| x < -7}
C.) {x| x > 0}
D.) {x| x is a real number}
Answer:
D
Step-by-step explanation:
I think the intervals can pretty much be infinite.
First person to answer will get 100 points & Brainliest!
Answer:
heyyyyyy
Step-by-step explanation:
Simplify the expression: 2(2 + g) =
Answer:
4 + 2g
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2(2 + g)
Step 2: Expand
Distribute 2: 2(2) + 2(g)Multiply: 4 + 2g2.
The PE teacher is ordering equipment for the next school year. There are 156 students. She needs enough basketballs so that there is 1 basketball for every 12 students. How many basketballs does she need to order?
a.
312 basketballs
c. HELP PLSSSS
13 basketballs
b.
12 basketballs
d.
11
Answer:
13 basketballs
Step-by-step explanation:
What is the slope of the line shown in the graph?
A 3/2
B) 2/3
C) -3/4
D) -2/3
Answer:
D.
Step-by-step explanation:
y-intercept is (0, 3)
x-intercept is (4.5, 0)
formula to find the slope from two points is
[tex]slope = m = \frac{y2 - y1}{x2 - x1} = \frac{y1 - y2}{x1 - x2} \\ [/tex]
then the slope of the line that crosses (0, 3) & (4.5, 0) is
[tex]m = \frac{3 - 0}{0 - 4.5} = \frac{3}{ - 4.5} = - \frac{3}{ \frac{9}{2} } = - \frac{2}{3} [/tex]
Explain how you can use multiplication to solve a division problem.
Answer:Inverse operation
Step-by-step explanation: an example is 5 x 5. That equals 25 so take 5 and divide that by 5. Inverse operation is important.
A certain ride at an amusement park requires that children be at least 50 inches tall but no more that 65 inches tall. Which of the following absolute values best represents this restriction, where h represents height?
Answer:
|h-57.5| less than or equal to 7.5
Step-by-step explanation:
Since the question states that a child must be 50 and 65 inches, plug in values that are within this range and determine which answer choice gives a TRUE relationship. Choose 60 for h.
Also, I just did it.
what is the value of the function y = 3/4x - 5 for x = -4
Answer:
y= 5.33333
Step-by-step explanation:
i think this is right DON'T MARK BRAILIST
Carol had a previous balance of $557.83 in her checking account. She deposited checks
totaling $882.84, made cash withdrawals of $325.00, and wrote checks totaling
$617.77 that were paid by the bank. She also earned interest of $1.15. What is her
present balance?
(Present Balance = Previous Balance + Deposits - Withdrawals - Service Charges/Fees
+ Interest)
c) $496.75
b) $499.05
a) $2.384.59
d) $1.149.05
Answer:
x^2-4/7x-12/49=0
x= 6/7 and -2/7
Step-by-step explanation:
The rectangle shown has a perimeter of 84 cm and the given area. Its length is 6 more than 5 times its width. Write and solve a system of equations to find the dimensions of the rectangle.
Simplify: [-5]+2 answer please
Answer:
I think it's -3
hope it's right:)
Step-by-step explanation:
[tex] \sf{ \huge{( - 5) + 2}}[/tex]
While adding or subtracting integers with unlike signs , subtract and keep the sign of the higher integer. In our case , subtract 2 from 5 and keep the sign of higher integer i.e ( - )
⟿ [tex] \sf{ \huge{ \boxed{ { - 3}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Is the graph proportional or nonproportional number of chores and age
Answer:
where is the graph??
Step-by-step explanation:
If 5 students play the flute and 7 students play the clarinet, what is the ratio of clarinet players to fluteplayers?
Answer:
5:7
hope it helps........