<h3>
Answer: 34%</h3>
This result is approximate.
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Explanation:
mu = 750 = mean
sigma = 75 = standard deviation
The raw scores or x values are x = 750 and x = 825
Let's compute the z score for each x value
z = (x - mu)/sigma
z = (750 - 750)/75
z = 0
and
z = (x - mu)/sigma
z = (825 - 750)/75
z = 1
Therefore P(750 ≤ x ≤ 825) is equivalent to P(0 ≤ z ≤ 1) in this context.
Use a z score table to determine that
P(z ≤ 0) = 0.5
P(z ≤ 1) = 0.84314 approximately
So,
P(a ≤ z ≤ b) = P(z ≤ b) - P(z ≤ a)
P(0 ≤ z ≤ 1) = P(z ≤ 1) - P(z ≤ 0)
P(0 ≤ z ≤ 1) = 0.84314 - 0.5
P(0 ≤ z ≤ 1) = 0.34314 approximately
The value 0.34314 then converts to 34.314% which rounds to <u>34%</u>
Or you could use the empirical rule as shown below. The pink section on the right is marked <u>34%</u> which is approximate. This pink section is between z = 0 and z = 1.
Do you have a picture you can upload? It’s most likely 24/2 = 12
Can u be more specific on the options? Cuz there’s nothing for ABCD.
Answer:
<h2>Ian will have enough money to buy the gift</h2>
Step-by-step explanation:
Step one:
given
monthly allowance= $21
from January to June= 6 months
total savings = 21*6= $126
cost of gift = $110
Step two:
Ian will have enough money to buy the gift
since he saved $126 which is greater than the cost of the gift of $110
he would have a balance of $16
If the first gardener can finish the job in 6 hours, it means that every hour he completes 1/6 of the job.
By the same logic, the second gardener completes 1/7 of the job per hour.
So, if they work together, they complete

of the job per hour.
So, after 42/13 of a hour, they'll complete the job. Since one hour is made of 60 minutes, 42/13 of a hour is

So, it will take them about 194 minutes to finish the job, i.e. about 3 hours and 14 minutes.