Answer:
c. normal probability distribution
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean
and standard deviation 
In this question:
By the Central Limit Theorem, it is a normal distribution, so option c.
Answer:
The Humming bee need to eat 0.0028 ounces of food each day.
Step-by-step explanation:
Given:
Weight of the humming bee = 0.0056 ounces
We need to find amount of food humming bee should eat each day to survive.
Solution:
Now given that:
They have to eat half their body weight every day to survive.
So we can say that;
Amount of food humming bee needs to eat is half of the weight of the humming bee.
framing in equation form we get;
Amount of food humming bee needs to eat = 
Hence The Humming bee need to eat 0.0028 ounces of food each day.
your answer would be 147°
solution:
since ∠x and ∠y are supplementary angles. they must add up to 180°
so ∠+∠y=180°
∠x=180°-∠y
= 180°- 33°
=147
Question:
Find the constant of proportionality k. Then write an equation for the relationship between x and y

Answer:
(a) 
(b) 
Step-by-step explanation:
Given

Solving (a): The constant of proportionality:
Pick any two corresponding x and y values


The constant of proportionality k is:




Solving (b): The equation
In (a), we have:

k can also be expressed as:

Substitute values for x1, y1 and k

Cross multiply:

Open bracket

Add 10 to both sides


This is easy . There is a 20 percent discount which means now it’s only (100-20%) discount.
This is 80% discount.
Money saved is equal to 100-80%
=20%
And that 20% is equal to 13$ as per the passage.
So now we need to calculate 1 percent of the item without discount .
This is equal to 13/20
This is equal to .65
Now to find the original price you will need to multiply .65 to 100 this is equal to 65$.