Answer:
The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean of 100 and standard deviation of 3.
Step-by-step explanation:
The Central Limit Theorem estabilishes 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.
Population
Mean 100, standard deviation 21.
The sampling distribution of the sample mean for samples of size 49
By the Central Limit Theorem
Mean 100
Standard deviation
The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean of 100 and standard deviation of 3.
Answer:
90 pizzas
Step-by-step explanation:
We know that 9/10 of the pizzas are Hawaiian, and the other 1/10 are vegetarian. There are 72 more Hawaiian pizzas than vegetarian pizzas. It's the 72 that's important here. We know 9/10 are Hawaiian and the other tenth are vegetarian. Subtract 1/10 from 9/10 to get 8/10.
(9 - 1)/10
8/10
As a result, 72 is 8/10 of the total. Now divide 72 by 8/10. That is the same as 72 times 10/8.
72 / 8/10
72/1 * 10/8
9/1 * 10/1
9 * 10
There are 90 total pizzas in the pizza shop.
Answer:
(x+1)(x+3)
Step-by-step explanation:
Let's factor x^2+4x+3
x^2+4x+3
The middle number is 4 and the last number is 3.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 4
Multiply together to get 3
Can you think of the two numbers?
Try 1 and 3:
1+3 = 4
1*3 = 3
Fill in the blanks in
(x+_)(x+_)
with 1 and 3 to get...
(x+1)(x+3)
Answer:
4x
+
5
y
=
15
Step-by-step explanation:
Rhombus LMNO is shown with its diagonals.
Rhombus L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P. All sides are congruent.
Angle MLO measures 112°. What is the measure of angle MLP?
45°
56°
68°
90°
Step-by-step explanation:
B