Assuming that each marble can be picked with equal probability, we notice that there is a total of

marbles, of which 2 are red.
So, the probability of picking a red marble is

In fact, as in any other case of (finite) equidistribution, we used the formula

The graph of the function is drawn. The open circle at -1 and 4 for -2x + 3.
The complete question is attached below.
<h3>What is a piecewise function?</h3>
The function that is transformed into the number of pieces is known as piecewise function.
The piecewise function is given below.

The graph of the function is drawn.
The open circle at -1 and 4 for -2x + 3.
More about the piecewise function link is given below.
brainly.com/question/12561612
#SPJ1
Answer:
1/2 + 2/3 + 5/4 = 29/
12
= 2 5/ 12 ≅ 2.4166667
Step-by-step explanation:
Add: 1/
2 + 2/
3 = 1 · 3/
2 · 3 + 2 · 2/
3 · 2 = 3/
6 + 4/
6 = 3 + 4/
6 = 7/
6
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - one half plus two thirds = seven sixths.
Add: the result of step No. 1 + 5/
4 = 7/
6 + 5/
4 = 7 · 2/
6 · 2 + 5 · 3/
4 · 3 = 14/
12 + 15/
12 = 14 + 15/
12
= 29/
12
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 4 = 24. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven sixths plus five quarters = twenty-nine twelfths.
<em>hope it helps...</em>
<em>correct me if I'm wrong...</em>
Answer:
$191
Step-by-step explanation:
The function is given by :
m(x) = 4.50x-7 ...(1)
Where
m(x) is the total cost if you buy x 12 packs of Mountain Dew.
We need to find the cost you pay to buy 44 12-packs of Mountain Dew
Put x = 44 in equation (1), we get :
m(x) = 4.50(44)-7
m(x) = 198-7
m(x) = $191
Hene, the cost for 44 12- packs of Mountain Dew is $191.
Answer:
9.55 minutes
Step-by-step explanation:
x hours to go to the river
0.25-x hours to come back, since 15 minutes is 0.25 hr.
to the river 40 mph * x hours =40x miles
from the river 70 mph (0.25-x) hours=17.5-70x
those two are equal
40x=17.5-70x
110x=17.5
x=17.5/110=0.159 hours
9.55 minutes