Sample space ={13 H + 13 D + 13 S + 13 C} = 52 cards
P(getting one heart) = 13/52 = 1/4
P( getting NO heart) = 1-1/4 = 3/4 = 0.75
Answer:
Area of the sector = 57.26295cm²
Step-by-step explanation:
Radius of the circle=9cm
π= 3.142
Angle at B= 81° ( opposite angle of a quadrilateral)
Area of the sector = πr² * 81/360
Area of the sector = 3.142 * 9*9 * 0.225
Area of the sector= 3.142*81*0.225
Area of the sector = 57.26295cm²
Answer:
Equation of midsegment line: y = (-1/4)x + 2.
Step-by-step explanation:
If the parallel sides of a trapezoid are contained by the lines:-
y = (-1/4)x +5 and y = (-1/4)x - 1
Midsegment of any trapezoid is the line segment
1. that is parallel to pair of parallel side of trapezoid and
2. that passes through the middle of the trapezoid and cuts the other two sides into equal-half.
It means the midsegment would have same slope as the parallel lines and y-intercept would be in the middle of intercepts of parallel lines.
So y = mx + b
where m = -1/4 and b = (5 - 1)/2 = 4/2 = 2.
Hence, the equation of midsegment would be y = (-1/4)x + 2.
if other experts state the same thing in their own paper or document.
Answer:
a= 13.15 years
b= -0.62 years/$
Step-by-step explanation:
Hello!
Given the variables
Y: Age of a used car. (years)
X: Price of a sold used car. ($000)
The linear regression model is:
E(Y)= α + βXi
The estimated equation is:
^Y= a + bXi

a= 13.15 years

b= -0.62 years/$
Then ^Y= 13.15 - 0.62Xi
Mean Y= 8.92
Mean X= 6.91
∑Y= 107
∑Y²=1009
∑X=82.90
∑X²=615.29
∑XY=712.9
Hope it helps!