Answer:
The interior volume of the work box is 70 inches³
Step-by-step explanation:
* Lets talk about the volume of the regular solid
- The volume of the solid = area of the base × its height
- If the base of the solid shaped rectangle
∵ The area of the rectangle = Length × width
∴ The volume = Length × width × Height
* Now lets solve the problem
- The work box has three dimensions
# Length = 5 inches
# Width = 3.5 inches
# Height = 4 inches
∴ The work box is shaped a rectangular solid
∴ Its volume = Length × width × height
∵ Length = 5 inches
∵ Width = 3.5 inches
∵ Height = 4 inches
∴ The volume = 5 × 3.5 × 4 = 70 inches³
* The interior volume of the work box is 70 inches³
Here's how to solve the problem:
1. 4 - (2x + 4) = 5 (Original Problem)
2. 4 - 2x + 4 = 5 (Get rid of the Parenthesis)
3. -2x + 4 - 4 = 5 (Organize Like Terms)
4. -2x = 5 (Simplify)
5. -2x/2 = -5/2 (Divide by 2)
6. -5/2 (Final Answer as a Fraction)
6. 5/2 is your answer
Answer:
x = 5 + 2 sqrt(13) or x = 5 - 2 sqrt(13)
Step-by-step explanation:
Solve for x over the real numbers:
0 = x^2 - 10 x - 27
0 = x^2 - 10 x - 27 is equivalent to x^2 - 10 x - 27 = 0:
x^2 - 10 x - 27 = 0
Add 27 to both sides:
x^2 - 10 x = 27
Add 25 to both sides:
x^2 - 10 x + 25 = 52
Write the left hand side as a square:
(x - 5)^2 = 52
Take the square root of both sides:
x - 5 = 2 sqrt(13) or x - 5 = -2 sqrt(13)
Add 5 to both sides:
x = 5 + 2 sqrt(13) or x - 5 = -2 sqrt(13)
Add 5 to both sides:
Answer: x = 5 + 2 sqrt(13) or x = 5 - 2 sqrt(13)
Answer:
Step-by-step explanation:
Given that in testing the reliability of DNA results used in crime labs, the new procedure matched DNA results to suspects 46 out of 50 times.
i.e population proportion = 46/50 = 0.92
For 99% success rate
Here p the proportion follows normal distribution with mean = 0.92 and
Std error =
Margin of error for 99% = ±2.58*0.038 = ±0.099
Confidence interval lower bound = 0.92-0.099 = 0.8210
Upper bound = 0.92+0.0999 ~1
so Confidence interval - (0.821,1)
(p cannot exceed 1 so 1 is taken)
We are 99% sure the that this new DNA match procedure correctly identifies susspects between (0.821, 1)
since 99% confidence interval contians 1, there is evidence at the .01 level that this procedure will successfully match DNA results 99% of the time
Answer:
27/200
Step-by-step explanation:
Knowing that:
A bag of tokens contains 9 red, 6 green, and 5 blue tokens. What is the probability that a randomly selected token is red and green?
Solve:
and = multiply
Total = 9 red + 6 green + 5 blue = 9 + 6 + 5 = 20
Total = 20 token
Thus,
There are 9 red and 6 green..
Hence,
9 out of 20 is red
6 out of 20 is green
Equation
9/20 × 6/20
Multiply Across:
9 × 6 = 54
20 × 20 = 400
54/400
Simplify
27/200
Therefore, the probability that a randomly selected token is red and green is 27/200.
<u><em>~Lenvy~</em></u>