Answer:
1 : 4 : 9
Step-by-step explanation:
Given the ratio of diameters = a : b , then
ratio of areas = a² : b²
Here ratio of diameters = 1 : 2 : 3 , so
ratio of areas = 1² : 2² : 3² = 1 : 4 : 9
The number of observations for each case in a t test for dependent samples is two is the correct answer.
In this question,
The dependent t-test also called the paired t-test or paired-samples t-test compares the means of two related groups to determine whether there is a statistically significant difference between these means. Each sample must be randomly selected from a normal population and each member of the first sample must be paired with a member of the second sample.
A dependent samples t-test uses two raw scores from each person to calculate difference scores and test for an average difference score that is equal to zero.
The groups contain either the same set of subjects or different subjects that the analysts have paired meaningfully. In dependent samples, subjects in one group do provide information about subjects in other groups.
Hence we c an conclude that the number of observations for each case in a t test for dependent samples is two is the correct answer.
Learn more about dependent t-test here
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Answer:
x = -1 y = 3 and z =2
Step-by-step explanation:
that is the solution above
I assume you mean x squared in the first equation
Because both are equal to y, they are equal to each other so x + 5 = x^2 +3
If we then move everything over to one side, we get x^2 - x - 2 = 0
Then factorise it to (x-2)(x+1) = 0
And solve both parts separately
x + 1 = 0
x = -1
x-2 = 0
x = 2
Sub both values into the simplest equation in this case y=x+5
to get y = 4 and y = 7
Standard Form:
68,020
Expanded Notation Form:
68,020 =
60,000
+ 8,000
+ 0
+ 20
+ 0
Expanded Factors Form:
68,020 =
6 × 10,000
+ 8 × 1,000
+ 0 × 100
+ 2 × 10
+ 0 × 1
Expanded Exponential Form:
68,020 =
6 × 10^4
+ 8 × 10^3
+ 0 × 10^2
+ 2 × 10^1
+ 0 × 10^0
Word Form:
68,020 =
sixty-eight thousand twenty
