The five-number summary comprehends the minimum and maximum values, the 1st and 3rd quartiles and the median.
1st step: is to arrange the data sets from least to greatest.
Sherelle:
26 39 56 58 60 62 65 66 66 68 71 72 72 73 74 75 81 83 84 85
Venita:
44 45 51 51 53 53 55 57 58 62 65 66 69 69 70 73 75 77 78 79
2nd step: To calculate each quartile you have to determine their position and then identify which observation sits in that position:
Quartile 1:
PosQ₁: n/4= 20/4= 5
Quartile 2 (Median)
PosMe: n/2= 20/2= 10
Quartile 3
PosQ₃: n*(3/4)= 20*(3/4)= 15
Since both samples have the same size, the 1st quartile will be the fifth observation of each sample, the median will be the tenth observation and the 3rd quartile will be the fifteenth.
Sherelle:
Q₁: 60
Me: 68
Q₃: 74
Minimum: 26
Maximum: 85
Venita:
Q₁: 53
Me: 62
Q₃: 70
Minimum: 44
Maximum: 79
Answer: a) the dependent variable is y, the amount he earns depending on x, the independent variable. x is the number of hours.
b) y = 5x + 10
c) Bobby earns $27.50 for the 3.5 hour job
Step-by-step explanation: use the function y=5x + 10 substitute 3.5 for x
y = 5(3.5) + 10
y = 17.5 + 10
y= 27.5
The answer is 16 because you have to solve for T which is 4 So you will multiply 4 times 4 because T is for 4 and you had to put parentheses around 4...4×4 is eight and you have to subtract 24-8 and it will give you 16
Answers:
A = 3
B = -7
C = 3
D = -7
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Explanation:
You could use the AC method to factor, but I think the method described below is a more efficient way of factoring.
Set the given expression equal to zero and solve for x using the quadratic formula. So the goal is to find the roots for
We'll plug in a = 9, b = -42, and c = 49.
Because the root is x = 7/3, it leads to the factor 3x-7 = 0
Note that we go from x = 7/3 to 3x = 7 after multiplying both sides by 3. Then we subtract 7 from both sides.
It turns out that we have two copies of the identical factor (3x-7) because x = 7/3 is a double root.
So in reality we have the factorization (3x-7)(3x-7) which we can shorten into (3x-7)^2 if we wanted.
Use the box method or FOIL method to expand (3x-7)(3x-7) and you should get 9x^2-21x-21x+49 which simplifies to 9x^2-42x+49. This confirms we have the correct factorization.
Therefore, A and C are both 3, while B and D are both -7.
Answer: He used 765 grams of blueberries.
Step-by-step explanation:
The quantity of blueberries is directly proportional to the quantity of smoothie.
Equation of direct variation :
Substitute
To find :
Hence, he used 765 grams of blueberries.