Answer:
x = -18
Explanation:
To solve this problem easily, we can cross multiply. You would multiply the numerator of the first fraction by the denominator of the second, and multiply the numerator of the second fraction by the denominator of the first. In this case, (x-7) would be multiplied by 4 and 5 would be multiplied by (x-2). The answers from these two calculations would each be one side of the equation.
After doing this, you can solve and isolate x.
Work is shown in the attached picture.
Answer:
1. 0.9544
2. 0.0228
3. 0.0228
Step-by-step explanation:
The computation is shown below;
As we know that
At Normal distribution
As per the question, the data provided is as follows
Mean = 24.4 minutes
Standard deviation = 6.5 minutes
Based on the above information
P(11.4 < X < 37.4) = P(X < 37.4) - P(X < 11.4)
= P(Z < (37.4 - 24.4) ÷ 6.5) - P(Z < (11.4 - 24.4) ÷ 6.5)
= P(Z < 2) - P(Z < -2)
= 0.9772 - 0.0228
= 0.9544
2. P(X < 11.4) = 0.0228
3. P(X ≥ 37.4) = 1 - P(X < 37.4)
= 1 - 0.9772
= 0.0228
Answer
(0,-4) and (4,0).
Step-by-step explanation:
The solutions of a system of equation from a graph is where the graphs intersect.
From the question, you mentioned that the graphs intersect at (0,-4) and (4,0).
Therefore the solutions to the system are (0,-4) and (4,0).
Probably, you might have a straight line and a quadratic graph interesting or two quadratic graphs.
Answer:
So, the probability is P=0.0097.
Step-by-step explanation:
We know that the number of flaws in a certain type of lumber follows a Poisson distribution with a rate of 0.45 per linear meter.
We conclude that λ=0.45.
We use the Poisson formula:
We calculate the probability that a board 3 meters in length has no flaws. We get that k=3.
We calculate:
So, the probability is P=0.0097.
Answer: 130 meters
Step-by-step explanation:
We have to let the "surface of the ocean" be at 0 height.
So,
anything above surface has POSITIVE height
and anything below surface has NEGATIVE height
The albatross is 100 m above, so we can say its height is:
+100 meters
The shark is 30 m below, so we can say its height is:
-30 meters
The difference in height is thus:
100 - (-30) = 100 + 30 = 130 meters
