Answer: it will take the faster computer 15 minutes to do the job on its own.
Step-by-step explanation:
Let t represent the number of minutes it will take the faster computer to do the job on its own. It means that the rate at which it does the job per minute is 1/t
If it takes the slower computer 30 minutes to do the job on its own. It means that the rate at which it does the job on its own per minute is 1/30
By working together, they would work simultaneously and their individual rates are additive. Working together it takes two computers 10 minutes to send out a company's email. It means that the rate at which both computers work together per minute is 1/10 Therefore,
1/t + 1/30 = 1/10
Cross multiplying by 30x, it becomes
3x = x + 30
3x - x = 30
2x = 30
x = 30/2
x = 15 minutes
Answer:
Each golf ball costs about <u>$2</u>.
Step-by-step explanation:
Given:
Donald bought a box of golf balls for $9.27. There were 18 golf balls in the box.
Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.
Now, to find the cost of each golf ball.
<u>As given:</u>
<em>Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.</em>
As, the cost of golf ball box = $9.27.
So, 9.27 nearest to whole number is 9.
Thus to get the cost of each ball:
18 golf balls cost = $9.
So, 1 golf ball cost = 
Therefore, each golf ball costs about $2.
Answer:
AP is 11.25 so the answer is F
Step-by-step explanation:
Since they are similar triangles (due to the ~ symbol)
You can write this:
AC/XZ = AP/XQ
since XZ=12
XQ=5
AC=27
you can write:
27/12=AP/5
then cross multiply:
27x5=135
135/12=11.25
AP is 11.25
Answer:
30
Step-by-step explanation:
Solve for the hypotenuse for the bottom triangle (a^2+ b^2=c^2). You should get 40. After solving that you should be able to solve for c in the top triangle which should get you 30.
Answer:
Required Probability = 0.605
Step-by-step explanation:
Let Probability of people actually having predisposition, P(PD) = 0.03
Probability of people not having predisposition, P(PD') = 1 - 0.03 = 0.97
Let PR = event that result are positive
Probability that the test is positive when a person actually has the predisposition, P(PR/PD) = 0.99
Probability that the test is positive when a person actually does not have the predisposition, P(PR/PD') = 1 - 0.98 = 0.02
So, probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition = P(PD/PR)
Using Bayes' Theorem to calculate above probability;
P(PD/PR) =
=
=
= 0.605 .