Answer:
Domain: (-infinity, +infinity) since you can pick any x values.
Range: [0, +infinity) since it does not go below the x axis.
Step-by-step explanation:
The graph is a parabola given by 
lets pick a few x values:
x = 1 gives us y = 1^2, which = 1
x = -1 gives us y = (-1)^2, which = 1
The parabola's domain is any x value as it extends to infinity.
For its range, you can see that it does not go below the x axis at x = 0. Therefore, the range of the parabola is from [0, infinity]
Answer:
4004
Step-by-step explanation:
The number of combinations of choosing r objects from a group of n is nCr.
So the number of ways to get 7, 8, 9, or 10 heads from 13 coin tosses is:
₁₃C₇ + ₁₃C₈ + ₁₃C₉ + ₁₃C₁₀
= 1716 + 1287 + 715 + 286
= 4004
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Sample mean(x) = 23500
Sample standard deviation (sd) = 3900
Sample size (n) = 20
Population mean (m) = 20,000
Null hypothesis : m = 20000
H1: m > 20000
To obtain the z-score :
(population mean - sample mean) / (sample standard deviation /√sample size)
(x - m) / (sd/√n)
(23500 - 20000) / (3900 / √20)
3500 / (3900 /4.4721359)
3500 / 872.06651
= 4.0134
Get the P value to know if to reject or accept the null:
P(z > 4.0134) = 1 - P(z < 4.0134)
P(z < 4.0134) = 1
1 - P(z < 4.0134) = 1 - 1 =0
Since P value is < alpha, we reject the null.
Hence average is > 20000
Exact Form:
√
3
Decimal Form:
1.73205080