Answer: It would take Tanya 15 minutes to run 2 kilometers
Answer: 15 minutes
Step-by-step explanation: This is true because:
If Tanya can run 8 kilometers in an hour (60 minutes) and you need to find how long it takes for her to run 2 kilometers there are two ways you can solve this:
#1: You find the unit rate (how long it takes Tanya to run 1 kilometer).
This would be written as 8 kilometers divided by 60 minutes. Once you do that math, you should get 7 1/2 minutes for one kilometer. However, since she is running 2 kilometers, you would multiply 7 1/2 by 2 to get your answer, which is 15 minutes.
#2: You set up a proportion to solve this problem:
This would be written as:
8/60 == 2/x, where the numerator of each fraction is the number of kilometers ran, the denominator is how long it took to run that distance, and x is the amount of minutes it took Tanya to run 2 kilometers. If you cross multiplied, you would get the following equation:
8x=120.
To get x by itself, you would divide both sides by 8; 8x/8 is x, and 120/8 is 15, getting you an answer of x=15, or 15 minutes.
Answer:
Step-by-step explanation:
- Earning = $9.32 per hour
- Work hours = 16 3/4 = 16.75
<u>Earning in week:</u>
<u>Remaining money after he deposits $150:</u>
<u>How many raffle tickets can be bought:</u>
- $6.11/$0.50 = 12 and $0.11 remains
Answer:
Step-by-step explanation:
Let x represent the random variable representing the scores in the exam. Given that the scores are normally distributed with a mean of 40 and a standard deviation of 5, the diagram representing the curve and the position of the mean, the mean plus or minus one standard deviation, the mean plus or minus two standard deviations, and the mean plus or minus three standard deviations is shown in the attached photo
1 standard deviation = 5
2 standard deviations = 2 × 5 = 10
3 standard deviations = 3 × 5 = 15
1 standard deviation from the mean lies between (40 - 5) and (40 + 5)
2 standard deviations from the mean lies between (40 - 10) and (40 + 10)
3 standard deviations from the mean lies between (40 - 15) and (40 + 15)
b) We would apply the probability for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 40
σ = 5
the probability that a randomly selected score will be greater than 50 is expressed as
P(x > 50) = 1 - P( ≤ x 50)
For x = 50,
z = (50 - 40)/5 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
P(x > 50) = 1 - 0.98 = 0.02
Answer:
x = 7/6
Step-by-step explanation:
12x - 11 = 3
12x = 3 + 11
12x = 14
12x/12 = 14/12
x = 14/12
x = 7/6