The answer is 0.50.
P(4<=X<=8)=P(x=4)+ P(x=5)+ P(x=6)+ P(x=7)+ P(x=8)= 0.05+ 0.15+0.15+0.15 +0 = 0.50
Notice that in 8 the line touches the x axis so it’s corresponding probability is 0.
Answer: R = {0, -3, -9, 5, 7}
Explanation: The range is the set of all y-coordinates for our ordered pairs.
So the range for this relation is {0, -3, -9, 5, 7}.
Answer:
1. QR- PT given
2. <QPR=<STR given
3. <QRP and <SRT (are right angles) def. of perpendicular
4. <QRP = <SRT all right angles are =
5. PQR~ TSR AA similarity theorem
Step-by-step explanation:
edge 2021
Answer:
a) There is suggestive evidence the velvet leaf seed is successful at weed control.
b) Lower bound: 3.699 Upper bound: 6.629
c) Since the confidence interval contains the average percent of seeds to be infected by the beetle (5.164), so we fail to reject the null hypothesis at the specified level of significance.
Step-by-step explanation:
See attached picture.
Answer:
j=13, g=20.8, h=24
Step-by-step explanation:
The overall shape given and the shape within, are both right triangles. With right triangles, you are allowed to use the pythagorean theorem formula (
) in order to solve for some sides. In this case, that would be j and h. The five in the smaller triangle is represented by b and the 12 is the hypotenuse so it is represented by c. When you plug in those numbers in the pythagorean theorem formula, you will find the value of j to be 13. When looking at this, we see that 12 is the second greatest value in the right triangle values that we just found, so we know the the opposing angle for that one will be 60 degrees. The 5's opposing side is therefore 30 degrees. When subtracting 90 and 30, we get 60, so therefore you can use the 30 60 90 formula to find the sides of the bigger triangle. The 60 degrees represents g. This formula will be
. The a is 12 since it is the smallest value. So therefore, g is
, which is 20.8. Now that we have this side, we can just use the pythagorean theorem formula to find the remaining side. Therefore, h is going to be 24