Answer:
36
Step-by-step explanation:
Carson had x number of apples to start with.
He gave 1/3 to Nathan. Now Carson has (2/3)x apples left.
He gave 1/2 of what was left to Nikki. Now Carson has (1/2)(2/3)x = (2/6)x = (1/3)x apples.
On the way home, he dropped 1/4, so he has 3/4 of the last amount he had, and the number is 9.
(3/4) * (1/3)x = 9
3/12 x = 9
1/4 x = 9
x = 36
Answer: He picked 36 apples.
Check:
Start with 36 apples.
Give 1/3 to Nathan. Now Carson has 24 apples.
Give 1/2 to Nikki. Now Carson has 12 apples.
Drop 1/4. 1/4 of 12 is 3. 12 - 3 = 9.
Hew only had 9 apples left, so 36 is correct.
<span>
<span>first off your answer is 21.90 and the step by step i wrote it for you:) Finding the
square root of a number is the inverse
operation of squaring that number. Remember, the square of a number
is that number times itself. </span>
The perfect
squares are the squares of the whole numbers.
The square root
of a number, n, written below is the number that gives n when multiplied by
itself.
</span> <span>Many mathematical
operations have an inverse, or opposite, operation. Subtraction is the opposite
of addition, division is the inverse of multiplication, and so on. Squaring,
which we learned about in a previous lesson (exponents),
has an inverse too, called "finding the square root." Remember, the
square of a number is that number times itself. The perfect squares are the
squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 … </span>
The square root
of a number, n, written
<span>
is the number that gives n when multiplied by itself. For example,</span>
<span>because
10 x 10 = 100</span>
Examples
Here are the
square roots of all the perfect squares from 1 to 100.
Finding square
roots of of numbers that aren't perfect squares without a calculator
1. Estimate
- first, get as close as you can by finding two perfect square roots your
number is between.
2. Divide -
divide your number by one of those square roots.
3. Average -
take the average of the result of step 2 and the root.
<span>4. Use the result
of step 3 to repeat steps 2 and 3 until you have a number that is accurate
enough for you.
</span>
Example:
Calculate the square root of 10 ()
to 2 decimal places.
<span>1. Find
the two perfect square numbers it lies between.
</span>
<span><span>Solution:
</span><span>32
= 9 and 42 = 16, so
lies between 3 and 4.</span></span>
<span>2. Divide
10 by 3. 10/3 = 3.33 (you can round off your answer)</span>
<span>3. Average
3.33 and 3. (3.33 + 3)/2 = 3.1667</span>
<span>Repeat step
2: 10/3.1667 = 3.1579</span><span>Repeat step 3: Average 3.1579 and 3.1667. (3.1579 + 3.1667)/2 = 3.1623</span>
Try the answer
--> Is 3.1623 squared equal to 10? 3.1623 x 3.1623 = 10.0001
If this is accurate
enough for you, you can stop! Otherwise, you can repeat steps 2 and 3.
<span>Note:
There are a number of ways to calculate square roots without a calculator.
This is only one of them.</span>
<span><span>
</span>
</span>
<span>
<span />Example:
Calculate the square root of 10 ()
to 2 decimal places.
<span>1.
Find the two perfect square numbers it lies between.
</span>
<span><span>Solution:
</span><span>32
= 9 and 42 = 16, so
lies between 3 and 4.</span></span>
<span>2.
Divide 10 by 3. 10/3 = 3.33 (you can round off your answer)</span>
<span>3.
Average 3.33 and 3. (3.33 + 3)/2 = 3.1667</span>
<span>Repeat
step 2: 10/3.1667 = 3.1579
Repeat step 3: Average 3.1579 and 3.1667. (3.1579 + 3.1667)/2 = 3.1623</span>
<span>Try
the answer --> Is 3.1623 squared equal to 10? 3.1623 x 3.1623 =
10.0001</span>
If
this is accurate enough for you, you can stop! Otherwise, you can repeat steps
2 and 3.
</span>
<span>
<span><span>
<span> </span></span></span></span>
Question: The probability that s student owns a car is 0.65, and the probability that a student owns a computer is 0.82.
a. If the probability that a student owns both is 0.55, what is the probability that a randomly selected student owns a car or computer?
b. What is the probability that a randomly selected student does not own a car or computer?
Answer:
(a) 0.92
(b) 0.08
Step-by-step explanation:
(a)
Applying
Pr(A or B) = Pr(A) + Pr(B) – Pr(A and B)................. Equation 1
Where A represent Car, B represent Computer.
From the question,
Pr(A) = 0.65, Pr(B) = 0.82, Pr(A and B) = 0.55
Substitute these values into equation 1
Pr(A or B) = 0.65+0.82-0.55
Pr(A or B) = 1.47-0.55
Pr(A or B) = 0.92.
Hence the probability that a student selected randomly owns a house or a car is 0.92
(b)
Applying
Pr(A or B) = 1 – Pr(not-A and not-B)
Pr(not-A and not-B) = 1-Pr(A or B) ..................... Equation 2
Given: Pr(A or B) = 0.92
Substitute these value into equation 2
Pr(not-A and not-B) = 1-0.92
Pr(not-A and not-B) = 0.08
Hence the probability that a student selected randomly does not own a car or a computer is 0.08
Answer:
Step-by-step explanation:
First method: for (x+3)^2 if you multiply (x+3)(x+3) you get x^2+6x+9 which doesn't equal x^2+9
Second way: plug in a variable for example (2+3)^2= 25 and 2^2+9=13 so 13 doesn't equal 25
Answer:
Answer b)
Step-by-step explanation:
In the sequence 0, 5, 10, 15,...
5 is added to each term in order to get the next one. Therefore the next three terms would be; 20, 25, 30.
This agrees with answer b) in the list of possible answers.