Answer:
D) quantitative
Step-by-step explanation:
Bivariate data are two sets of items that are dependent to each other.
For example, coffee sales compared to the weather on a particular day.
Categorical data a collection of data representing quantities such as age, sex, educational level, blood group etc. It is a collection of data with different categories.
Discrete data can take only integer values.
For example, output of rolling a die is a number from 1 to 6.
Quantitative data are information that are measured and written with numbers.
Here, the height of a bouncing ball is measured and recorded.
Hence, the data we gather here is quantitative.
For this case we have the following parent function:
f (x) = x ^ 2
We apply the following function transformation:
Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
y = (x + 3) ^ 2
Vertical translations
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
We have then:
y = (x + 3) ^ 2 + 4
Answer:
The graph g (x) is the graph f (x) 3 units to the left and 4 units up:
y = (x + 3) ^ 2 + 4
Answer:
Step-by-step explanation:
Comment
The first step is to find the surface area of 1 fence post.
The formula is
Area_ends = 2 pi r^2 for the ends.
Area_body = 2*pi*r * h
Givens
r = d/2 r is the radius ; d is the diameter
r = 1/2 foot
h = 10 feet
Solution
1 fence post
Area = ends + area body
Area = 2*3.14 * (1/2)^2 + 2 * pi * r * h
Area = 2*3.14* (1/2)^2 + 2 * 3.14 * 1/2 * 10
Area = 1.57 + 31.4
Area = 32,97 square feet.
10 fence posts
10*32.97 = 329.7 square feet
Answer
10 fence posts have 329.7 square feet in area.
Answer:
Test statistic = - 2.33
Pvalue = 0.010 (3 decimal places)
Step-by-step explanation:
Given :
H0: p = 0.25 vs Ha: p < 0.25
Phat = 0.15
Sample size, n = 102
α = 0.05
The test statistic :
(Phat - p) / (√p(1 - p) /n)
1 - p = 1 - 0.25 = 0.75
(0.15 - 0.25) / (√0.25(0.75) /102)
-0.1 / √0.0018382
-0.1 / 0.0428742
Test statistic = - 2.33
The Pvalue using the test statistic score obtained :
P(Z < - 2.33) = 0.0099031 = 0.010
Pvalue < α ; Reject H0
Answer:

Step-by-step explanation:
