Answer:
17.
Step-by-step explanation:
f(x) = 2x^2 - 1
f(-3) = 2(-3)^2 - 1
= 2 * 9 - 1
= 18 - 1
= 17
Hope this helps!
Answer:
Distribution is NOT binomial.
Step-by-step explanation:
In order to be a binomial distribution, the probability of success for each individual trial must be the same. Since each marksman hits the target with probability Pi, the probability of success (hitting the target) is not necessarily equal for all trials. Therefore, the distribution is not binomial.
In this case, the distribution would only be binomial if Pi was the same for every "ith" marksman.
Answer: 28.26
Step-by-step explanation:
What your looking for is called the annulus (or the difference of two concentric circles). You can find the annulus by subtracting the area of the inner circle from the area of the outer circle. Volume of a circle= πr²
You are given the diameter in these problems, so you need radius.
For the first circle (8 in one) :
8/2=4 r=4
A=3.14(4)²
A=50.24
For the second one (10 in one) :
10/2=5 r=5
A=3.14(5)²
A=78.5
To find the measure of the annulus, you subtract those numbers, getting 28.26
Answer:
The targeted population is USA residents who died of heart disease.
Step-by-step explanation:
According to this case, "the death rates due to heart disease among the smokers and nonsmokers are compared to see if smoking causes heart disease." This implies that the study targets those USA residents who died of heart disease to find out if the cause of death can be traced to heart disease caused by smoking or not. The main concentration for the study defines the targeted population. It is this group of residents who died of heart disease that is the population of interest. This means that the targeted population is a certain group of the population that share similar characteristics, especially death resulting from heart disease caused by smoking.
Answer:
h(x) = -16x² + 192x + 208
784ft
6 sec
13 sec
Step-by-step explanation:
a)
h(x) = -16x² +vx + h
here v represent velocity
represent initial height of launch
h(x) = -16x² + 192x + 208
b)
h(x) = -16x² + 192x + 208
here a = -16
b = 192
c = 208
x = -b/2a
= -192/2(-16)
= 6
plug this value in the equation
h(x) = -16(6)² + 192(6) + 208
= 784ft
e)
Plug h(x)=0 in the equation
0 = -16x² + 192x + 208
divide equation by -16
x² - 12x - 13 = 0
Factors
1x * -13x = -13
1x - 13x = -12
Factorised form
x² - 12x - 13 = 0
x² + x - 13x - 13 = 0
x(x+1) -13(x+1) = 0
(x+1)(x-13) = 0
x = -1
x = 13
Since time can not be negative so we will reject x = -1
