Let Q be the point (a, b). Since the midpoint of P (2, 3) and Q (a, b) is (4, 6), we have
(2 + a)/2 = 4
(3 + b)/2 = 6
Solve for a and b :
(2 + a)/2 = 4
2 + a = 8
a = 6
(3 + b)/2 = 6
3 + b = 12
b = 9
So the coordinates of Q are (6, 9).
Answer:
0.7325 to 5.6675 ug/dl
Step-by-step explanation:
The middle 90% will be 45% above the mean and 45% below the mean. This means
0.5-0.45 = 0.05 and
0.5+0.45 = 0.95
We use a z table. Look in the cells; find the values as close to 0.05 and 0.95 as we can get.
For 0.05, we have 0.0505 and 0.0495; since these are equidistant from 0.05, we use the value between them. 0.0505 is z=-1.64 and 0.0495 is z=1.65; this gives us z=-1.645.
For 0.95, we have 0.9495 and 0.9505; since these are equidistant from 0.95, we use the value between them. 0.9495 is z = 1.64 and 0.9505 is z=1.65; this gives us z = 1.645.
Now we use our z score formula,

Our two z scores are 1.645 and -1.645; our mean, μ, is 3.2; and our standard deviation, σ, is 1.5:

Multiply both sides by 1.5:

Add 3.2 to each side:
2.4675+3.2 = X-3.2+3.2
5.6675 = X

Multiply both sides by 1.5:

Add 3.2 to each side:
-2.4675+3.2 = X-3.2+3.2
0.7325 = X
Our range is from 0.7325 to 5.6675.
The inequality for the given statement can be written as 5<span>z ≥ −25. The reason being that 5z is a minimum of - 25 or it is greater than - 25. The statement indicates this only. It is important to go through the statement minutely before answering the question. I hope that the answer has come to your help.</span><span />
Solve the equation:
– 3b – (– 2) = 4b <span>– 12
</span>– 3b + 2 = 4b – 12
– 3b = 4b – 12 – 2
– 3b = 4b – 14
– 3b – 4b = – 14
– 7b = – 14
– 14
b = ———
– 7
b = 2 <——— solution.
I hope this helps. =)
Answer:
£600
Step-by-step explanation:
First take if 110% equals to £660 what about 100%
100×660 =66000 ÷ 110 =£600