Answer:
0.0035289
Step-by-step explanation:
From the question;
mean annual salary = $63,500
n = sample size = 31
Standard deviation = $6,200
Firstly, we calculate the z-score of $60,500
Mathematically;
z-score = x-mean/SD/√n = (60500-63500)/6200/√(31) = -2.6941
So we want to find the probability that P(z < -2.6941)
We can get this from the standard normal table
P( z < -2.6941) = 0.0035289
When you round 9.55555 to the nearest hundredth you would get 9.56 which you would then round to 10
Answer:
The twins would be 13 years old.
Step-by-step explanation:
21+21+21+13+13 = 89
Answer:
-7
Step-by-step explanation:
Lets assume the number Peggy is thinking of be "x".
Now as given, when twice the number is added to three times one more than the number. We can write it as
∴
--- Equation 1
Again, it is given that Peggy gets the same result as when she multiplies four times one less than the number.
∴
-- equation 2
Next, we can equate both the equation 1 and 2 as it is given that result is same.

Let´s distribute 3 into
and 4 into 
⇒ 
⇒ 
Subtract both side by 4x and 3
∴ 
∴ Peggy was thinking of -7
Answer:
Cost of shoes = $37.4925
Cost of jacket = $92.4533
Tax = $9.81
Total paid = $144.2458
Step-by-step explanation:
Normal price of shoes = $49.99
Discount = 25%
Discounted price:

Normal price of jacket = $137.99
Discount = 33%
Discounted price:

Price of pack of cookies = $4.49
No discount on cookies as per question statement.
Total amount without tax = $37.4925 + $92.4533 + $4.49 = $134.4358
Sales Tax = 7.3% of total amount without tax = 7.3%
$134.4358 = $9.81
Total paid = $134.4358 + $9.81 = <em>$144.2458</em>