The first one is. coincident
second. inconsistent
third. consistent independent
I just did this quiz (:
One way to solve the system is to <u>substitute</u> a variable.
<u>Explanation:</u>
One approach to solve an equation is by substitution of one variable. Right now, a condition for one factor, at that point substitute that arrangement in the other condition, and explain. All value(s) of the variable(s) that fulfills a condition, disparity, arrangement of conditions, or arrangement of imbalances.
The technique for tackling "by substitution" works by settling one of the conditions (you pick which one) for one of the factors (you pick which one), and afterward stopping this go into the other condition, "subbing" for the picked variable and fathoming for the other. At that point you back-explain for the principal variable.
The probability that a freshman student at this school plays either a sport or a musical instrument is 0.74
Step-by-step explanation:
The addition rules in probability are:
- P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen at the same time)
- P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they have at least one outcome in common)
∵ The probability that a freshman plays a sport is 0.55
∴ P(sport) = 0.55
∵ The probability that a freshman plays a musical instrument is 0.34
∴ P(music) = 0.34
∵ The probability that a freshman plays both a sport and a musical
instrument is 0.15
∴ P(sport and music) = 0.15
To find the probability that freshman student at this school plays either a sport or a musical instrument use the second rule above because it is non-mutually exclusive
∵ P(sport or music) = P(sport) + P(music) - P(sport and music)
∴ P(sport or music) = 0.55 + 0.34 - 0.15
∴ P(sport or music) = 0.74
The probability that a freshman student at this school plays either a sport or a musical instrument is 0.74
Learn more:
You can learn more about the probability in brainly.com/question/9178881
#LearnwithBrainly
The answer is
round cake - 82.42 in²
rectangular cake - 114 in²
Round cake:
d = 7 in
r = d/2 = 7 in / 2 = 3.5 in
h = 2 in
The surface are of a cylinder is:
A = 2πr² + 2πrh
The surface are of the round cake (which is actually a cylindrical cake) excluding the bottom is:
A = 2πr² + 2πrh - πr²
A = πr² + 2πrh
A = 3.14 * 3.5² + 2 * 3.14 * 3.5 * 2
= 38.46 + 43.96
= 82.42 in²
Rectangular cake:
w = 6 in
l = 9 in
h = 2 in
The surface are of a rectangle is:
A = 2wl + 2wh + 2lh
The surface are of the rectangular cake excluding the bottom is:
A = 2wl + 2wh + 2lh - wl
A = wl + 2wh + 2lh
A = 6 * 9 + 2 * 6 * 2 + 2 * 9 * 2
= 54 + 24 + 36
= 114 in²
Keywords:
<em>Divide, polynomial, quotient, divisor, dividend, rest
</em>
For this case, we must find the quotient by dividing the polynomial 
. We must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the rest, as shown in the attached figure. At the end of the division, to verify we must bear in mind that:
Answer:
See attached image
