Step-by-step explanation:
Using log properties


Then

Plug in the knowns


<h2>Greetings!</h2>
Answer:
One number is
and the other number is 
Step-by-step explanation:
Let x be the smaller number and y be the bigger number.
x = x
y = 5x
6x + 3y = 3
6x + (3 * 5x) = 3
6x + 15x = 3
(÷3)
2x + 5x = 1
7x = 1
x = 
6x + 3y = 3
6(
) + 3y = 3
+ 3y = 3
3y = 3 - 
3y = 
Divide both sides by 3 to get 1y:
y = 
So one number is
and the other number is 
<h2>Hope this helps!</h2>
Answer:
8.75
Step-by-step explanation:
1 mile = 1.6 km
So, every 7 minutes, 1.6 km is ran.
Divide 1.6 by 2 to figure out how much more she is running.
1.6 / 2 = 0.8
Divide the known pace by the extra distance to figure out the time
7 min / 0.8 km = 8.75 min
The answer is 73 because 8 is more than 5 so it rounds up to be 73
Answer:
Due to the higher Z-score, Demetria should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever applicant had grade with the highest z-score should be offered the job.
Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.
For Demetria, we have
. So



Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.
For Vincent, we have
.



Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.
For Tobias, we have
.



Due to the higher Z-score, Demetria should be offered the job.