Answer:
Step-by-step explanation:
I dont think this is right but here,
1: 15,14
In the question above, to find the height we have to calculate the value of y.
We are going to solve the 2 equations simultaneously.
y = -0.5x²<span> + 3x .............................................(1)
</span><span>-0.5x + 2.42y = 7.65 .....................................(2)
Solve using substitution method.
From the equation 1,
</span>y = -0.5x² + 3x
Substitute the value of y in the equation 2 with y = -0.5x² + 3x
So we have,
-0.5x + 2.42(-0.5x² + 3x ) = 7.65
-0.5x - 1.21x² + 7.26x = 7.65
- 1.21x² + 6.76x = 7.65
1.21x² - 6.76x - 7.65 = 0
This is a quadratic equation.
Solving the for x using quadratic formula.
x = (- - 6.76 +/- √( 6.76² - 4×1.21×7.65)) ÷ 2
= (6.76 +/- √82.7236) ÷2
= 6.76 +/- 9.095
x = 15.86 or -2.335
But distance can not be negative, the value of x = 15.86 ft.
The height which is the value of y will be;
y = -0.5x² + 3x
= -0.5(15.86)² + 3(15.86)
= 125.7698 + 47.58
= 173.3498 ft
Height = 173.3498 ft
Answer:
Yes, to construct a confidence interval, it is necessary to check whether the population is approximately normal or not.
Step-by-step explanation:
The information about distribution of population is important in order to find out the sampling distribution. When we want to construct confidence interval, the accuracy of results depend on three conditions.
1. The data needs to be randomly selected.
2. The sampling distribution needs to be normally distributed
3. The observations must be independent.
So one of the conditions is to ensure that the population is normally distributed.
We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10
np ≥ 10
n(1 - p) ≥ 10
When the population follows normal distribution then a small number of samples will be adequate, on the other hand, if the population is skewed then we need a greater sample size to ensure normal sampling distribution.
Therefore, it is necessary to check whether the population is approximately normal before constructing a confidence interval.
Answer:
A, C or D, and F can go together
B, C or D, and F can go together
B, E, and F can go together
Step-by-step explanation:
a) y=0
b) y=x^2
c) y=x
d) y=-x
e) y=-|x|
f) y=16
I hope I answered your question.