Answer:
the standard error is 153.125
Step-by-step explanation:
given that
The random sample is 256
The sample mean is $35,420
And, the standard deviation is $2,450
We need to find out the standard error
We know that
= standard deviation ÷ √random sample
= 2450 ÷ √256
= 2450 ÷ 16
= 153.125
Hence, the standard error is 153.125
Answer: A
Step-by-step explanation: A
Given:
The vertices of a right triangle are:

To find:
The length of the hypotenuse of the given right triangle.
Solution:
Let the vertices of the right triangle are
.
The distance formula is:

Using distance formula, we get





Similarly,




And,





Now, taking sum of squares of two smaller sides, we get




By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.
Therefore, the length of the hypotenuse is 10 units.
Answer:
5 books.
Step-by-step explanation:
She can carry 18 pounds in total. She already has her lunch and her gym clothes inside her bag, which take up 1 + 2 = 3 pounds. Since 3 pounds are taken, that leaves 18 - 3 = 15 pounds for her books. Each book is 3 pounds, so she can carry 15/3 = 5 books in her backpack.