Answer:
Wife' s IQ = 100
0.2% are smarter than their wives.
Step-by-step explanation:
We are given the following information in the question:
Husband:
Mean = 105
SD = 15
Wife:
Mean = 110
SD = 10
Correlation between husband's and wife's IQ = 0.5
a) Let the husbands be represented by X and wives by Y.
Man's IQ = 75
Standardizing the scores, we get:
Formula:
We know that if we standardize our scores then:
Putting value, we get:
So,
b) Standard deviation of IQ's of wives married to husbands with IQ of 75 is:
We know that a husband of an IQ 75 will have a wife of a mean IQ of 100. So for a man to be smarter than his wife she should have IQ less than 75.
The maximum value can be determined by taking the derivative of the function.
(dh/dt) [h(t)] = h'(x) = -9.8t + 6
Set h'(x) = 0 to find the critical point
-9.8t + 6 = 0
-9.8t = -6
t = 6/9.8
Plug the time back into the function to find the height.
h(6/9.8) = -4.9(6/9.8)^2 + 6(6/9.8) + .6
= 2.4
And I don't understand your second question.
Answer:
See below.
Step-by-step explanation:
We need multiples of 6 and 8 centimeters, so the lengths could be 12 and 16 centimeters.
The number of gallons of the 35% acid solution eli should add is; 0.125 gallons
<h3>How to Simplify Basic Algebra?</h3>
From the given table, since Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution, then we can say that;
(0.10)(0.5) + 0.35g = 0.15(g + 0.5)
where g is number of gallons
Now, for us to determine how many gallons of the 35% acid solution eli should add, we will solve the word problem earlier to get;
(0.10)(0.5) + 0.35g = 0.15(g + 0.5)
⇒ 0.05 + 0.35g = 0.15g + 0.075
⇒ 0.35g - 0.15g = 0.075 - 0.005
⇒ 0.2g = 0.025
g = 0.025/0.2
g = 0.125 g
Read more about Algebra Simplification at; brainly.com/question/723406
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