Answer:
0.55 is the probability that Lions will score less than 3 goals.
Step-by-step explanation:
We are given the following in the question:
Number of goals(x): 0 1 2 3 4
Probability: 0.05 0.15 0.35 0.30 0.25
We have to find the probability that Lions will score less than 3 goals.
0.55 is the probability that Lions will score less than 3 goals.
Answer: The answer is (b) a ≤ 3 + 2j; j ≥ 14, a ≤ 35.
Step-by-step explanation: Given that Anna is no more than 3 years older than 2 times Jamie’s age. Jamie is at least 14 and Anna is at most 35. We are to select the correct combination of inequalities among the given options.
Also, 'a' and 'j' are the possible ages of Anna and Jamie respectively. Therefore, according to the given information, we can write
Thus, the correct option is (b) a ≤ 3 + 2j; j ≥ 14, a ≤ 35.
Answer:
(a)
(b) 100
Step-by-step explanation:
Solving (a):
Given
Shape: Rectangle
Required
Calculate the perimeter.
Area is calculated as:
Where
and
Substitute 64.8 for Area
Make L the subject:
Perimeter is calculated as:
Substitute 64.8/W for L
To solve further, we take the derivative of P and set it to 0, afterwards.
Set to 0
Collect Like Terms
Cross Multiply:
Divide through by 2
Take square roots
Recall that:
So:
The perimeter is:
Solving (b):
Given
((1 Group of 10 tenths) and (1 group of 8 tenths))/(6 groups of 3 tenths)
Required
Solve
So, the expression becomes:
((1 Group of ) and (1 group of
))/(6 groups of
)
This gives:
((1 Group of ) and (1 group of
))/(6 groups of
)
Group means product, so the expression becomes:
And, as used here means addition
Simplify: