Answer:
The new volume is two times the original volume
Step-by-step explanation:
we know that
The volume of a rectangular prism

where
B is the area of the base
H is the height of the prism
If the height of a rectangular prism is doubled,
then
The new volume is equal to


therefore
The new volume is two times the original volume
Answer:
The number of penguins on the island is 17 and the number of bears on the island is 4.
Step-by-step explanation:
We are given that an island's only residents are penguins and bears, and if there are 21 heads and 50 feet on the island.
Let the number of penguins on the island be 'x' and the number of bears on the island be 'y'.
Also, we know that bears and penguins both have one head, and the bear has 4 feet and the penguin has 2 feet.
<u>So, according to the question;</u>
- The first condition states that there are 21 heads, that means;
x + y = 21
x = 21 - y ---------------- [equation 1]
- The second condition states that there are 50 feet on the island, that means;
2x + 4y = 50
x + 2y = 25
21 - y + 2y = 25 {from equation 1}
y = 25 - 21
y = 4
Now, putting the value of y in equation 1, we get;
x = 21 - y
x = 21 - 4 = 17
Hence, the number of penguins on the island is 17 and the number of bears on the island is 4.
Answer:
-6 = n
Step-by-step explanation:
-6=2n-n
Combine like terms
-6 = n


✒ 
Plugging in the value "a = 7" and "b = -2" in the above expression, we have
✒ 
✒ 

Answer:
<h3>For ANOVA, the test statistic is called an <u>F-statistic</u> test statistic (also called a <u>F-statistic </u>-ratio), which is the variance (2) samples (a.k.a., variation due to treatment) divided by the variance (3) samples (a.k.a., variation due to error or chance).</h3>
Step-by-step explanation:
- For Analysis of Variance the F-statistic is the Variation between Means of Sample or Variation within the Samples
- For F-tests the F-statistic is the test statistic .
- Generally, an F-statistic is also called as a ratio of two quantities between (here the variance (2) samples (a.k.a., variation due to treatment) divided by the variance (3) samples (a.k.a., variation due to error or chance)). which results an F-statistic of approx 1.
For ANOVA, the test statistic is called an <u>F-statistic</u> test statistic (also called a <u>F-statistic </u>-ratio), which is the variance (2) samples (a.k.a., variation due to treatment) divided by the variance (3) samples (a.k.a., variation due to error or chance).