Answer:
I think the IQR is 100
Step-by-step explanation:
You would have to find the first and third quartiles first. After that you would subtract the third quartile by the first to get the IQR
Answer:
The value of y given the values of x and z in the question is -734.85
Step-by-step explanation:
This is a joint variation question.
First, we are made to know that y varies jointly as x and z.
The equation for this can be written as;
y = k * x * z
Where k is the constant of proportionality.
Let’s calculate k first.
117 = k * (-3) * (-11)
33k = 117
K = 117/33 = 3.55
Now, we proceed to get what y is when x = -9 and z = 23
Let’s plug these values into the initial equation written.
y = k * x * z
We use the value of k calculated above;
y = 3.55 * (-9) * (23) = -734.85
Answers:
5. x = 1
6. y = 11.5
Step-by-step explanation:
For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:
AC * CD = BC * CE
You can substitute the values you are given to get:
2 * 4 = x * 8
This gives you x = 1
For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:
GH * GJ = GI * GK
Using segment addition postulate, you get:
GJ = GH + HJ = 5 + 16 = 21
GK = GI + IK = 6 + y --> y + 6
Now, substitute into the equation from power of a point:
5 * 21 = 6 * (y + 6)
105 = 6 * (y + 6)
17.5 = y + 6
y = 11.5
Answer:

Step-by-step explanation:
Given




Required
The perimeter
First, calculate the distance between each point using:

So, we have:




So, the perimeter (P) is:


Answer:
1 / 51
Step-by-step explanation:
Given that :
Number of cards in a deck = 52
Number of heart suit = 13
Number of kings = 4
Recall:
Probability = (required outcome / Total possible outcomes)
P(first card is king) = 4/52 = 1/13
P(second card is heart) = 13/51
Hence,
P(first card is king) * P(second card is heart)
(1/ 13) * (13/51) = 13 / 663 = 1/ 51