Answer: 5.6 ≤ x ≤ 24.13.
Step-by-step explanation:
Given, The graph of the function
. The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.
In graph , On axis → number of calculators produced
On y-axis → profit made in thousands of dollars.
From the graph, the curve goes for y > 175 from x = 5.6 to x= 24.13 ( approx)
So, the reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
So, If the company wants to keep its profits at or above $175,000, reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
Answer:
Theoretical Probability: P(even) = . 1/2
Experimental Probability: P(evn) = 94/200 = 47/100
Step-by-step explanation:
The theoretical probability of getting a even number is 1/2 because it equally likely to get and not to get it. Since half of the numbers are even then the probability of getting an even is 1/2.
Answer:
option C 13.5%
Step-by-step explanation:
As the heights of adults is normally distributed with mean=69 and standard deviation=2.5 so, the percent of men that are between 64 and 66.5 inches tall can be calculated as
P(64<X<66.5)=P[ (64-69)/2.5<(X-μ)/σ<(66.5-69)/2.5]
P(64<X<66.5)=P(-2<Z<-1)
P(64<X<66.5)=P(-2<Z<0)-P(-1<Z<0)
P(64<X<66.5)=0.4772-0.3413=0.1359
Thus, the percent of men are between 64 and 66.5 inches tall is 13.59%.
If we round the resultant quantity then it will be rounded to 13.6% but considering the given options, option C is most appropriate.
Answer:
Log300=2.4771
Log3.26=0.5132
Log10000=4
Log20=1.3010
Step-by-step explanation:
log300=2.4771
Log3.26=0.5132
Log10000=4
Log20=1.3010
