Those two added together are equal to
14 and
Answer:
Step-by-step explanation:
Solve the inequality 5x − 4y > 20 for y, as follows: Subtract 5x from both sides, obtaining:
-4y > 20 - 5x;
Then divide all terms by -4:
y < -5 +(5/4)x, where the direction of the inequality sign has been reversed because of division by a negative quantity.
Temporarily replace the < symbol with = obtaining y = -5 +(5/4)x. Now choose at least three x values and find the corresponding y values. For example:
x y = -5 +(5/4)x
0 -5
4 0
-8 -15
Now plot these three points (0, -5), (4, 0) and (-8, -15). Draw a dashed line through them. Because of the < symbol in y < -5 +(5/4)x, shade the area underneath the dashed line.
Answer:
There are 60 monkeys in the Zoo
Step-by-step explanation:
In this question, we are asked to calculate the number of monkeys in a Zoo given some information to use.
Let’s have the total number of monkeys be m.
60% are going monkeys. This means number of young monkeys is 0.6m.
The number of baby and old monkeys is obviously 0.4m.
Ratio of baby to old monkeys is 3:1. This means if we splitter 0.4m into 4, number of baby monkeys is 0.3m while number of old monkeys is 0.1m
Now, subtracting the number of baby monkeys from young monkeys give a total of 18 monkeys.
Let’s project this mathematically;
This means ;
0.6m - 0.3m = 18
0.3m = 18
m = 18/0.3
m = 60
There are 60 monkeys in the zoo
The perimeter for this rectangle is: 276
Answer:
Step-by-step explanation:
a) Maternal gene = 0.25; Paternal gene = 0.25
Probability having a birth defect = 0.25 X 0.25 = 0.625
b) P(A) = 0.30; P(B) = 0.70
P(A)*P(B) = 0.30 X 0.70 = 0.021
For marriage:
25%: P(A)*P(A)*0.25 = 0.09 X 0.25 = 0.0225
65%: P(B)*P(B)*0.65 = 0.049 X 0.65 = 0.03185
10%: P(A)*0.10 = 0.03 and P(B)*0.10 = 0.07
P(A)*P(B) = 0.03 X 0.07 = 0.0021
Probability of a defect birth in the next generation = 0.0225 + 0.03185 + 0.0021 = 0.05645
c) 1. P(A)*P(A) = 0.09
2. P(B)*P(B) = 0.049
3. P(A)*P(B) = 0.021
