<span>In the binomial experiment, the number of times the six-sided cube was rolled is the number of trials. Thus the number of trials for this binomial experiment is 12.
The formular for a binomial experiment is nCx (p)^x (q)^(n - x)
where: n is the number of trials, x is the success event, p is the probability of success, q is the probability of failure.</span>
We are given the function <span>–2x – 4 + 5x = 8 and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:
-2x + 5x =8+4
Then, do the necessary operations.
3x = 12
x = 4.
The variable x has a value of 4.</span>
Answer:
The volume of figure 1 is 11340 ft^3 greater than figure 2
Step-by-step explanation:
For rectangular prism, volume is
V = lenght x width x height
V = 36 x 21 x 18 = 13608 ft^3
For rectangular pyramid, volume is
V = (lenght x width x height) ÷ 3
V = (36 x 21 x 9) ÷3 = 6804/3 =2268 ft^3
Difference in volume = 11340 ft^3
Jake spent a total of 70 cents.
b = black-and-white = 8 cents
c = color = 15 cents
70 = 8b + 15c
he made a total of 7 copies
b + c = 7
system of equation:
70 = 8b + 15c
b + c = 7
--------------------------
b + c = 7
b + c (-c) = 7 (-c)
b = 7 - c
plug in 7 - c for b
70 = 8(7 - c) + 15c
Distribute the 8 to both 7 and - c (distributive property)
70 = 56 - 8c + 15c
Simplify like terms
70 = 56 - 8c + 15c
70 = 56 + 7c
Isolate the c, do the opposite of PEMDAS: Subtract 56 from both sides
70 (-56) = 56 (-56) + 7c
14 = 7c
divide 7 from both sides to isolate the c
14 = 7c
14/7 = 7c/7
c = 14/7
c = 2
c = 2
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Now that you know what c equals (c = 2), plug in 2 for c in one of the equations.
b + c = 7
c = 2
<em>b + (2) = 7
</em><em />Find b by isolating it. subtract 2 from both sides
b + 2 = 7
b + 2 (-2) = 7 (-2)
b = 7 - 2
b = 5
Jake made 5 black-and-white copies, and 2 color copies
hope this helps