Answer:
3/12 or simplified 1/4
Step-by-step explanation:
First make the denominators the same. We can make 12 the common denominator. To make 3/4 have a denominator do the following:
Multiply the numerator and denominator by 3 since 4x3=12. The new number becomes 9/12.
Then subtract:
9/12-6/12=3/12 The numerator subtracts while the denominator stays the same.
We can simplify 3/12 to 1/4
Answer:
Step-by-step explanation:
Given that a popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags have an average weight of 1,040 grams with a standard deviation of 25 grams.
i.e. Sample mean = 1040 and
Sample std dev s = 25 gm
Sample size n = 100
Hence by central limit theorem we have the sample mean follows a normal distribution with mean =1040 and std dev = s = 25 gm
Normal curve would be with mean 1040 and std deviatin 25
b) P(X>1115)
= 1-0.9987
=0.0013
i.e. 0.13% would receive a bag that had a weight greater than 1115 grams
Answer:
The answer is 4
Step-by-step explanation:
x^2-2x-8=1/4x-1
x^2-9x/4-7=0
4x^2-9x=28
Therefore if we take value of x as 4 aur eq.get balanced...
Answer:
The joint probability of the two events is one.
Step-by-step explanation:
Complementary events:
If two events are complimentary, these three following things are true:
They are dependent.
The intersection of them is zero.
The joint probability of the two events is one.
The last one is the correct choice.
Answer:
x = -2
y = 3
Step-by-step explanation:
-5x + 3y = 19
x = 3y - 11
-5x + 3y = 19
-5(3y - 11) + 3y = 19
-15y + 55 + 3y = 19
-15y + 3y + 55 = 19
-12y + 55 = 19
-12y = 19 - 55
-12y = -36
y = -36/-12
<u>y = 3</u>
x = 3y - 11
x = 3(3) - 11
x = 9 - 11
<u>x = -2</u>
