Answer:
The new mean for the exam scores is 51
Step-by-step explanation:
the mean can be calculated using the formula
mean of scores = 
before the 20 points was added, the mean of the score was = 50.
Inserting this into the formula, we have:
50 = 
from this, we can compute the sum total of the scores as
sum total = 50 × 20 = 1000
when the extra 20 marks is added, the sum of the entire scores will be changed to 1000 + 20 = 1020.
Hence the new mean will be computed as (New Sum total of scores / Number of students)
=
= 51.
∴ The new mean of the scores is = 51
Answer:
. B. For every 8 french fries, there is 1 packet of ketchup
Step-by-step explanation:
THIS ARE THE OPTIONS FOR THE QUESTION
A. There are 7 more french fries than packets of ketchup. B. For every 8 french fries, there is 1 packet of ketchup. C. For every 8 packets of ketchup, there is 1 french fry. D. There are 8 more french fries than packets of ketchup.
Ratio expresses quotient of two mathematical expressions. It gives relationship in term of quantity, amount existing between two or more things. From the question, it shows that when ever there is 8 french fries, there would be 1 packet of ketchup. I.e french fries and ketchup are in ratio of 8:1
I'm assuming the limit is supposed to be

Multiply the numerator by its conjugate, and do the same with the denominator:

so that in the limit, we have

Factorize the first term in the denominator as

The
terms cancel, leaving you with

and the limand is continuous at
, so we can substitute it to find the limit has a value of -1/18.
What needs to be done first is to add up females and males that have passed.
42 + 14 = 56
so out of 56 students who passed 42 females passed 42/56 = 3/4 = 0.75
out of 56 students who passed, 14 males passed which turns into 14/56 = 1/4 = 0.25
check work; 0.75 + 0.25 = 1.00
NOW WE ARE DOING FAILS.
15 + 5 = 20
so out of 20 students who failed, 15 females failed so it turns into 15/20 = 3/4 = 0.75
out of 20 students who failed, 5 males failed. 5/20 = 1/4 = 0.25
check work; 0.75 + 0.25 = 1.00
i hope this helped! :)