Answer:
The answer to your question is: 35 questions worth 2 points and 15 questions worth 3 points.
Step-by-step explanation:
Data
Number of questions = 50
Total points = 115
x = questions worth 2 points
y = questions worth 3 points
Process
write to equations
(1) --------------- x + y = 50
(2) -------------- 2x + 3y = 115
Solve them by substitution
x = 50 - y
2 (50 - y) + 3y = 115
100 - 2y + 3y = 115
3y -2 y = 115 - 100
y = 15
x = 50 - 15
x = 35
Answer:
See explanation:
Step-by-step explanation:
Let a and b be integers.
Sum means addition.
So we are trying to figure out what a+b equals.
It could result in as 0, negative, or positive.
a+b is 0 when a and b are of opposite values. Example: 5+(-5) or -5+5 is 0 because 5 and -5 are opposite values.
a+b is positive when both a and b are positive. Example 5+3=5.
a+b is positive when |a|>|b| and a is positive. Example: 5+(-3)=2 since |5|>|-3| and 5 is positive.
a+b is positive when |a|<|b| and b is positive. Example: -3+5=2 since |-3|<|5| and 5 is positive.
a+b is negative when both a and b are negative. Example: -5+(-3)=-8.
a+b is negative when |a|>|b| and a is negative. Example: -5+3=-2 since |-5|>|3| and -5 is negative.
a+b is negative when |a|<|b| and b is negative. Example: 3+(-5)=-2 since |3|<|-5| and -5 is negative.
Answer:
28.32$
Step-by-step explanation:
18% of 24 = 24*18/100=4.32$
Total: 24+4.32=28.32$
Have a good day
Answer:
option one is the correct answer
Answer:
n=1705
Step-by-step explanation:
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Assuming the X follows a normal distribution
And the distribution for
is:
We know that the margin of error for a confidence interval is given by:
(1)
The next step would be find the value of
,
and
Using the normal standard table, excel or a calculator we see that:
If we solve for n from formula (1) we got:
And we have everything to replace into the formula:
And if we round up the answer we see that the value of n to ensure the margin of error required
mm is n=1705.