Answer:
1st blank: 160(2) - 16(2)²
2nd blank: 256
3rd blank: 5
4th blank: 400
5th blank: 10
Step-by-step explanation:
h(x) = -16x² + 160x
To find h(2) just replace x = 2 into the equation
h(2) = 160(2) - 16(2)² = 256 in
The maximum height coincides with the vertex of the parabola.
x-coordinate of the vertex: -b/(2a) = -160/[2*(-16)] = 5
y-coordinate of the vertex: -16(5)² + 160(5) = 400
To hit the ground means h(x) = 0
-16x² + 160x = 0
16x(-x + 10) = 0
x = 0
or
-x + 10 = 0
x = 10
Answer:
The weight corresponding to which weight will be larger than 14% of times equals 427.635 grams.
Step-by-step explanation:
We need to find the value of weight that corresponds to 14% of area under the normal distribution curve
It is given that
Using standard normal distribution tables we find value of Z corresponding to 14% of the area as -1.080
Thus using the standard equation
I'm going to assume that the die has 6 sides and thus has numbers 1 through 6I'm assuming it isn't a 20 sided DnD dice
color is irrelevant, it's used to keep track of which is which
let's say we choose the blue die to get less than 7 and green to get less than 4
blue:all the numbers an a 6 sided die are less than 7, so probility of rolling a number less than 7 on the blue die is 1
green:
3 numbers on a 6 sided die are less than a 46 numbers, 3 to be rolled, 3/6 or 1/2
so probability is 1 times 1/2 or 1/2 or 50% probablity of getting that outcome
N=-55 -n=11x5 -n= 55 n=-55
(multiply both sides by -1)