Answer:
a: 0.8884
b: 0.9934
Step-by-step explanation:
We have µ = 300 and σ = 70. The sample size, n = 125.
For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:
P(292 < x < 308).
We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.
We have P(292 < x < 308) = 0.8884
Next we want the probability of the sample mean to be within 17 units of the population mean, so we want the values from 283 to 317. We want to find
P(283 < x < 317)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(283 < x < 317) = 0.9934
Answer:
$22.88
Step-by-step explanation:
The total bill is the subtotal plus tax. The tax is computed by multiplying the tax rate by the subtotal, which is the total of all items being billed.
subtotal = $5.25 +12.75 +2.99 = 20.99
tax = $20.99 × 0.09 = $1.89
The total bill is ...
subtotal + tax = $20.99 +1.89 = $22.88
6x - 12 = 8x + 14
2x = - 26
x = - 13
Answer:
17 hours
Step-by-step explanation:
From the above question,
Anthony is practicing 4 days in a week
Hence
The number of hours he practices in the morning for 4 days =
1.75 hours × 4
= 7 hours
The number of hours he practices in the evening for 4 days =
2.5 hours × 4
= 10 hours
Therefore, the total number of hours he practices this week
= 7 hours + 10 hours
= 17 hours
Using the least common factor, it is found that:
- a) 60 packages should be bought.
- b) There will be 5 filled goody bags.
<h3>
Least Common Factor:</h3>
- The sizes of the packages are: 10, 6, 15 and 12.
- To fill each bag and have no left-overs, the number of packages is the <u>least common factor</u> of these amounts.
- The least common factor is found factoring the numbers into prime factors.
Item a:
10 - 6 - 15 - 12|2
5 - 3 - 15 - 6|2
5 - 3 - 15 - 3|3
5 - 1 - 5 - 1|5
1 - 1 - 1 - 1
Hence, lcf(10,6,15,2) = 2 x 2 x 3 x 5 = 60.
60 packages should be bought.
Item b:
Goody bags are in packages of 12, hence:
60/12 = 5.
There will be 5 filled goody bags.
To learn more about the least common factor, you can take a look at brainly.com/question/24873870
