Answer:
Step-by-step explanation:
x = first number, y = second number
4x - 3y = 12
2x + 3y = 6
------------------add
6x = 18
x = 18/6
x = 3
4x - 3y = 12
4(3) - 3y = 12
12 - 3y = 12
-3y = 12 - 12
-3y = 0
y = 0
solution : (3,0)
Answer:
C) 2094.40
nearest answer.
Step-by-step explanation:
Since the given region is bounded by y = x, y = 10 and x = 0
⇒ 0 ≤ y ≤ 10
Radius and Height are 'y'
∴ The required volume
= ∫₀¹⁰2π(radius)(height)dy
= ∫₀¹⁰2π (y) (y) dy
= ∫₀¹⁰2π y² dy
= 2π ∫₀¹⁰ y² dy
Integrate y
= ![2\pi [\frac{y^3}{3}]_0^{10}](https://tex.z-dn.net/?f=2%5Cpi%20%5B%5Cfrac%7By%5E3%7D%7B3%7D%5D_0%5E%7B10%7D)
= ![2\pi [\frac{10^3}{3} - 0]](https://tex.z-dn.net/?f=2%5Cpi%20%5B%5Cfrac%7B10%5E3%7D%7B3%7D%20-%200%5D)
= 
where π is 3.142
= 2,094.66
Answer:
x=14
Step-by-step explanation:
The way to solve it would be to subtract 35 from both sides, canceling out 35 and giving us our answer:
x=14
Hope this helps!
Brainliest please!
For the manager's grocery store, the average mean to the nearest cent is 37.6 while the competitor's store has an average of 48.53. However, the store that has a mean that better represents its data is the first store, the manager's store, because the values are more close to the mean as compared to the other store which has extreme values far from the mean or scattered from the mean.
Answer:
p(b = 1) = 0.4096 = 40.96%
Step-by-step explanation:
For each candy, there are only two possible outcomes. Either it is blue, or it is not. The probability of a candy being blue is independent of any other candy. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
20% are blue
This means that 
Sample of 4
This means that
.
Which of the following would find p(b=1)?
P(X = 1). So


So, p(b = 1) = 0.4096 = 40.96%