Of the 30 students participating in a science fair, 12 are growing plants, 8 are making modelvolcanoes, and the rest are doing o
ther projects. What is the ratio of students doing other projectsto the total number of student participants?
1 answer:
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Answer:
Since we assume that we don't know the population deviations we need to use a t test to check the hypothesis, and the best answer is:
B.t
Step-by-step explanation:
Notation
represent the mean for male king penguins
represent the mean for the female king penguins
represent the sample standard deviation for the sample male
represent the sample standard deviation for the sample female
sample size for the male penguins
sample size for the female penguins
t would represent the statistic
Hypothesis
We need to conduct a hypothesis in order to check if the male king penguins weigh more than female king penguins, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we assume that we don't know the population deviations we need to use a t test to check the hypothesis, and the best answer is:
B.t
Answer:
If you are <u>traversing squares</u> then 7 different paths can be taken
If you are <u>traversing edges </u> then 36 different paths can be taken
Step-by-step explanation:
I have attached a picture that would describe the grid which is 7 units long.
The solution to the general problem is if you have to take X right steps, and Y down steps then the number of routes is simply the ways of choosing where to take the down (or right) steps. Such that:
Basically its the combination of terms.
In this problem,
If you are <u>traversing squares</u> then there are 6 right steps and 1 down step,
7 C 1 = 7 C 6= 7
If you are <u>traversing edges </u> then there are 7 right steps and 2 down steps:
9 C 2 = 9 C 7= 36
Answer:
<u>CF = 7</u>
Step-by-step explanation:
Given: Δ ABC
Altitudes ⇒ AD = 12 , BE = 14 and CF = ?
The area of the triangle = 0.5 AD * BC ⇒ (1)
OR area = 0.5 BE * AC ⇒ (2)
OR area = 0.5 CF * AB ⇒ (3)
By equating (1) and (3)
∴ 0.5 CF * AB = 0.5 AD * BC
∴ ⇒ (4)
By equating (1) and (2)
0.5 BE * AC = 0.5 AD * BC
∴ (5)
We should know that about the relation between the sides of the triangle:
The sum of two sides will be greater than the third side
So, AB < BC + AC ⇒ divide both sides by BC
∴
By substitution from (5) with AC/BC
∴
∴
∴ ⇒ (6)
By substitution from (6) at (4)
∴ CF > 12 * 7/13
CF > 6.46
But CF is a positive integer
<u>∴ CF = 7</u>