Answer:
The number of students who scored more than 90 points is 750.
Step-by-step explanation:
Quartiles are statistical measures that the divide the data into four groups.
The first quartile (Q₁) indicates that 25% of the observation are less than or equal to Q₁.
The second quartile (Q₂) indicates that 50% of the observation are less than or equal to Q₂.
The third quartile (Q₃) indicates that 75% of the observation are less than or equal to Q₃.
It is provided that the first quartile is at 90 points.
That is, P (X ≤ 90) = 0.25.
The probability that a student scores more than 90 points is:
P (X > 90) = 1 - P (X ≤ 90)
= 1 - 0.25
= 0.75
The number of students who scored more than 90 points is: 1000 × 0.75 = 750.
Multiply the bracket by 6
6(-p+8)= -6p + 12
-6p+48= -6p+12
Move -6p from right side to left side
Sign changes from -6p to +6p
-6p+6p+48= -6p+6p+12
48= 12 ( No solution )
Answer : No solution
Answer: 21.994 cm²
Step-by-step explanation:
Area of the shaded region = Area of the bigger circle - the areas of the two smaller circles.
Formula for finding area of a circle = πr² where π is a constants . It has value of 22/7 or 3.142
Now area of the bigger circle = 3.142 x 3²
= 3.142 x 9
= 28.278 cm² Now are of the two smaller triangle = 3.142 x 1² x 2
= 6.284 cm².
Therefore are of the shaded region = 28.278 - 6.284
= 21.994 cm²
The original price was $64
Hope this helps:)
9514 1404 393
Answer:
y = 3.02x^3 -5.36x^2 +5.68x +8.66
Step-by-step explanation:
Your graphing calculator (or other regression tool) can solve this about as quickly as you can enter the numbers. If you have a number of regression formulas to work out, it is a good idea to become familiar with at least one tool for doing so.
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If you're trying to do this by hand, the x- and y-values give you 4 equations in the 4 unknown coefficients.
a·1^3 +b·1^2 +c·1 +d = 12
a·3^3 +b·3^2 +c·3 +d = 59
a·6^3 +b·6^2 +c·6 +d = 502
a·8^3 +b·8^2 +c·8 +d = 1257
Solving this by elimination, substitution, or matrix methods is tedious, but not impossible. Calculators and web sites can help. The solutions are a = 317/105, b = -75/14, c = 1193/210, d = 303/35. Approximations to these values are shown above.
