Answer:
h=7.65
Step-by-step explanation:
H is directly proportional to the square root of p;
Let k be the constant of proportionality;
Means h=k√p
This means for corresponding points of h and p such that (h1,p1) and (h2,p2) we have;
h1/√p1=h2/√p2
Let h= 5.4 when p = 1.44 and h when p =2.89 be respectively (h1,p1) and (h2,p2)
So that
5.4/√1.44=h/√2.89
5.4/√1.44 ×√2.89 = h
7.65= h
h=7.65
Answer:
There is a 45.05% probability that the selected person is a right-handed female.
Step-by-step explanation:
We have these following probabilities
A 50% probability that a person is a male
A 50% probability that a person is a female.
A 12.6% probability that a male is left-handed.
A 9.9% probability that a female is left-handed.
If a person is selected at random, to find the probability that the selected person is a right-handed female, one would compute:
50% are female.
9.9% of the females are left-handed, so 100-9.9 = 90.1% of the females are right handed.
So
There is a 45.05% probability that the selected person is a right-handed female.
Answer: d
Step-by-step explanation:
Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
Answer:
58 times 0.17 which agrees with answer C in the given list of possible answers.
Step-by-step explanation:
Notice that 17% in math terms is 17/100 = 0.17
Now to find the 17% of the number 58, we need to multiply 58 by 17/100, which gives:
58 times 0.17
