The cups of popcorn that the boys eat in all is 5 1/4 cups.
<h3>How to illustrate the information?</h3>
From the information, Toby, Tyler, and Tim got hungry and decided to share a bag of popcorn and each boy ate 1 3/4 cups of popcorn.
It should be noted that the total popcorn and hat was eaten will be:
= Fraction eaten by each person × Number of people
= 1 3/4 × 3
= 7/4 × 3
= 21/4
= 5 1/4
This illustrates the concept of multiplication of fractions.
Learn more about fractions on:
brainly.com/question/17220365
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Answer: c= -4
Step-by-step explanation:
14=-2c-6-3c
Add 6 on both sides
= 20=-2c-3c
Simplify on both sides
= 20=-5c
Divide by -5 on both sides
= -4=c
I think that is the answer.
Answer:
56.3
Step-by-step explanation:
The third one.
Step-by-step explanation:
Considering speed of Noha = 4miles per hour
and speed of andrew = 2 miles/hour
The distance between Noha and andrew = 15 miles
Case 1: when they are travelling towards each other( opposite direction)
Then their relative speed becomes = 4+2 = 6miles/hour
Time taken to meet = Distance/relative speed = 15/6 = 2.5 hours
Case2: When they are travelling same direction
Then their relative speed becomes = 4-2 = 2 miles/hour
Time taken to meet = Distance/ relative speed = 15/2 = 7.5 hours
Answer:
a.0.8664
b. 0.23753
c. 0.15866
Step-by-step explanation:
The comptroller takes a random sample of 36 of the account balances and calculates the standard deviation to be N42.00. If the actual mean (1) of the account balances is N175.00, what is the probability that the sample mean would be between
a. N164.50 and N185.50?
b. greater than N180.00?
c. less than N168.00?
We solve the above question using z score formula
z = (x-μ)/σ/√n where
x is the raw score,
μ is the population mean = N175
σ is the population standard deviation = N42
n is random number of sample = 36
a. Between N164.50 and N185.50?
For x = N 164.50
z = 164.50 - 175/42 /√36
z = -1.5
Probability value from Z-Table:
P(x = 164.50) = 0.066807
For x = N185.50
z = 185.50 - 175/42 /√36
z =1.5
Probability value from Z-Table:
P(x=185.50) = 0.93319
Hence:
P(x = 185.50) - P(x =164.50)
= 0.93319 - 0.066807
= 0.866383
Approximately = 0.8664
b. greater than N180.00?
x > N 180
Hence:
z = 180 - 175/42 /√36
z = 5/42/6
z = 5/7
= 0.71429
Probability value from Z-Table:
P(x<180) = 0.76247
P(x>180) = 1 - P(x<180) = 0.23753
c. less than N168.00?
x < N168.
z = 168 - 175/42 /√36
z = -7/42/6
z = -7/7
z = -1
Probability value from Z-Table:
P(x<168) = 0.15866