Answer:
D
Step-by-step explanation:
The correct answer is D
Answer:
61,239,550
Step-by-step explanation:
We let the random variable X denote the IQ scores. This would imply that X is normal with a mean of 100 and standard deviation of 17. We proceed to determine the probability that an individual chosen at random from the population would be a genius, that is;
Pr( X>140)
The next step is to evaluate the z-score associated with the IQ score of 140 by standardizing the random variable X;

The area to the right of 2.3529 will be the required probability. This area from the standard normal tables is 0.009314
From a population of 6,575,000,000 the number of geniuses would be;
6,575,000,000*0.009314 = 61,239,550
<u><em>Answer:</em></u>
575% as a mixed number is 
<u><em>Explanation:</em></u>
575% is equivalent to
which is equal to 5.75
5.75 = 5 + 0.75
0.75 can be written as
. This value can be simplified by dividing both the numerator and the denominator by 25. This would give us 
<u>Back to our number:</u>

Hope this helps :)
Answer:
a. $45.54; b. $51.42; c. See below
Step-by-step explanation:
a. 193 min
Service charge = $40.00
1st 100 min @ 0.021 = 2.10
Next 93 min @0.037 = <u> 3.44
</u>
Total = $45.54
b. 317 min
Service charge = $40.00
1st 100 min @ 0.021 = 2.10
2nd 100 min @ 0.037 = 3.70
117 min @ 0.048 = <u> 5.62</u>
Total = $51.42
c. Piecewise function
The charge is
- $40.00 + 0.021t if t ≤ 100
- $42.10 + 0.037(t - 100) if 100 < t ≤ 200
- $45.80 + 0.048 (t - 200) if t > 200
which we can write like this:

Answer:
We don´t have at 95% of confidence, evidence to reject the publisher´s claim
Step-by-step explanation:
Population mean p₀ = 58 % or p₀ = 0,58
Hypothesis Test:
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
For a significance level α = 0,05 means that CI = 95 % or CI = 0,95
z(c) = - 1,64
MOE = z(c)* √(p*q)/n
p - p₀ / √(p*q)/n = z(s)
And that z(s) is in the acceptance region
|z(s)| < |z(c)|
|z(s)| < 1,64
Then if that so we fail to reject H₀ . We don´t have evidence to reject the publisher´s claim