Answer:
84 and 36
Step-by-step explanation:
The ratio of two numbers is 7:3.
We don't know what the numbers are, but since their ratio is 7:3, we can let the numbers be 7x and 3x. Notice that the ratio between 7x and 3x is 7x/3x = 7/3, so we still have the same ratio, 7:3.
The difference between the numbers is 48.
7x - 3x = 48
4x = 48
x = 12
7x = 7(12) = 84
3x = 3(12) = 36
The numbers are 84 and 36.
Check:
7/3 = 2.333...
84/36 = 2.333...
84 and 36 are int he same 7:3 ratio as 7:3.
84 - 36 = 48
The difference between 84 and 36 is 48 like the problem states.
This shows our answer, 84 and 36, is correct.
Answer:
0.180144 < p < 0.339856
Step-by-step explanation:
According to the Question,
- Given That, Out of 200 people sampled, 52 had kids, Thus the proportion of the mean is 52/200 = 0.26
⇒
standard error of the sample is square root(0.26 * (1-0.26) / 200) = 0.031
⇒alpha(a) = 1 - 99/100 = 0.01
⇒critical probability(p*) = 1 - a/2 = 0.995
⇒assuming a normal distribution, look for the z-score associated with 0.995 cumulative probability
, z-score = 2.576
⇒margin of error(ME) = 2.576 * 0.031 = 0.079856
-
the confidence interval is 0.26 + or - 0.079856
0.180144 < p < 0.339856
1/20 is equivalent to .05 because 5/100 is 1/20.
Hope this helps!
It also means that any angle that is not marked could be acute, right, or obtuse. For example, if this diagram appears without further comment
Answer:
2 -7i
Step-by-step explanation:
(-2 - 5i) - (-4 + 2i)
Distribute the minus sign
(-2 - 5i) + 4 - 2i
Combine like terms
-2+4 -5i -2i
2 -7i
