Answer:
V = 310.5 cm³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Prism Formula: V = lwh
- <em>l</em> is length
- <em>w</em> is width
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>l</em> = 13.8 cm
<em>w</em> = 4.5 cm
<em>h</em> = 5 cm
<u>Step 2: Solve for </u><em><u>V</u></em>
- Substitute in variables [Volume of a Prism Formula]: V = (13.8 cm)(4.5 cm)(5 cm)
- Multiply: V = (62.1 cm²)(5 cm)
- Multiply: V = 310.5 cm³
Answer:
r = -3
Step-by-step explanation:
Performing the indicated multiplication on both sides of this equation, we get:
5r - 5 = 2r - 8 - 6
Combining the r terms: 3r - 5 = - 8 - 6.
Combining the constants: 3r = 5 - 14, or 3r = -9.
Dividing both sides by 3, to isolate r, we get: r = -3
Answer:
The random variable (number of toppings ordered on a large pizza) has a mean of 1.14 and a standard deviation of 1.04.
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>The probability distribution is:</em>
<em>x P(x)
</em>
<em>
0 0.30
</em>
<em>1 0.40
</em>
<em>2 0.20
</em>
<em>3 0.06
</em>
<em>4 0.04</em>
The mean can be calculated as:

(pi is the probability of each class, Xi is the number of topping in each class)
The standard deviation is calculated as:

now, we know that B and F are midpoints, namely BF is a midsegment of the triangle, and therefore BF || AE, so, the base AE is twice BF.

We just need to extrapolate the information we have about 25 apples to 100, that is we need to find a number that multiplied by gives us 100, from this original fraction, hence, we have:
2 out of 25 = 2/25
if we multiply and divide a number or fraction by the same number we do not alter its value, so we need to convert the 25 into 100, and that can be done multiplying it by 4, like so:
(2/25)(4/4) = (2*4)/(25*4) = 8/100
So if we have 2 bruised apples out of 25, then we can expect to have 8 bruised apples out of 100