Answer:
$5400
$45
Step-by-step explanation:
Interest = principal x interest rate x time
principal = p
interest rate = 15%
time = 20/365 = 0.054795
Interest = 5445 - p
5445 - p = 0.15 x p x 0.054795
5445 - p = 0.008219p
Collect like terms and solve for p
p = $5400
Interest = 5445 - 5400 = $45
Answer:
55.
Step-by-step explanation:
55x2=110
Answer:
Given:You sample 160 men, and 25% own cats
You sample 120 women, and 20% own cats.
To Find : Find the test statistic, rounded to two decimal places.
Solution:
You sample 160 men, and 25% own cats.
No. of men have cats =
=
So,
You sample 120 women, and 20% own cats.
No. of women have cats =
=
So,
We will use Comparing Two Proportions
Let and be the probabilities of men having cat and women having cat receptively
Formula of test statistic :
Substitute the values
test statistic :
test statistic :
So, test statistic is 0.986
This is a great question!
To determine the probability with which two sweets are not the same, you would have to subtract the probability with which two sweets are the same from 1. That would only be possible if she chose 2 liquorice sweets, 5 mint sweets and 3 humburgs -
As you can see, the first time you were to choose a Liquorice, there would be 12 out of the 20 sweets present. After taking that out however, there would be respectively 11 Liquorice out of 19 remaining. Apply the same concept to each of the other sweets -
____
Calculate the probability of drawing 2 of each, add them together and subtract from one to determine the probability that two sweets will not be the same type of sweet!
<u><em>Thus, the probability should be 111 / 190</em></u>
s = 6 + e
s + e = 28
We can use this system of equations to find the exact values of s and e.
We have a current value of s, so we can find the exact value of e now.
e + e + 6 = 28
<em><u>Combine like terms.</u></em>
2e + 6 = 28
<em><u>Subtract both sides by 6.</u></em>
2e = 22
<em><u>Divide both sides by 2.</u></em>
e = 11
Now we have an exact value of e, and can solve for the value of s.
s = 6 + 11
s = 17
Sophia is 17 years old, and Eric is 11 years old.