Hey there! :)
Answer:
2u³ (5u + 1)(u + 3)
Step-by-step explanation:
Begin by factoring a common factor from each term. In this instance, it would be 2u³:
2u³ (5u² + 16u + 3)
Factor the polynomial inside the parenthesis. The factors must add up to 16u, and multiply to become 3. We get:
2u³ (5u + 1)(u + 3)
This is the equation factored entirely!
Notice that 25+23+17+14+12+9=100, so among these students there are no 2 studying 2 subjects.
The probabilities of selecting students studying a certain subject are as follows
P(physics)=25/100
P(chemistry)=17/100
P(maths)=9/100
P(sociology)=23/100
P(political sciences)=14/100
P(anthropology)=12/100
since all the sets are disjoint, that is there are no common elements, and since all the students in consideration are enrolled in one these 6 subjects:
P(physics)+P(chemistry)+P(maths)+P(sociology)+P(political sciences)
+P(anthropology)=1
P(a)=P(sociology)+P(political sciences)+P(anthropology)+P(physics)
thus
P(a')=1-P(a)=P(chemistry)+P(maths)=17/100+9/100=26/100=0.26
Answer: 0.26
Answer:
y = 12
Step-by-step explanation:
Looking at the large triangle
tan 30 = opposite / adjacent
tan 30 = 4 sqrt(3)/ y
Multiply each side by y
y tan 30 = 4 sqrt (3)
We know tan 30 = sqrt(3)/3
y * sqrt(3)/3 = 4 sqrt(3)
Multiply each side by 3/ sqrt(3) to isolate y
y * sqrt(3)/3 * 3/ sqrt(3) = 4 sqrt(3) * 3 /sqrt(3)
y = 12
Answer:
Yes.
Step-by-step explanation:
If they do then the slope of PQ will equal that of QR.
The slope of PQ = (y2-y1)/(x2-x1)
= (1 - (-3)) / (2-1) = 4.
The slope of QR = (3-1)/(2.5-2)
= 2 / 0.5 = 4.
So they are on the same line.
(4,-2) because you would transfer the point the same distance away from the y axis just on the other side of it