Properties of Logs
logb(x/y) = log<span>bx</span> - log<span>by</span>.
therefore
log5 (4/7)= log5 (4)- log5 (7)
<span>Solve log 5 (4) and log 5 (7) with the base change of the logarithm</span>
<span>log 5 4 = log 4 / log 5 </span>
Use the calculator:
<span>
<span>log 5 4 =0.8613531161
</span></span>
log 5 7 = log 7 / log 5
<span>log 5 7 =1.2090619551</span>
<span>log5 (4/7)= log5
(4)- log5 (7)=-0.347708839</span>
126
explanation: solved it
Answer:
The required probability is 0.94
Step-by-step explanation:
Consider the provided information.
There are 400 refrigerators, of which 40 have defective compressors.
Therefore N = 400 and X = 40
The probability of defective compressors is:

It is given that If X is the number among 15 randomly selected refrigerators that have defective compressors,
That means n=15
Apply the probability density function.

We need to find P(X ≤ 3)


Hence, the required probability is 0.94
Hello! First, let's get some important information:
Luke works in the:
- week → grocery store → $16/hour
- weekend → nursery → $22/hour
Now, let's analyze the questions:
<h3>a) How much does he earn if he works 5 hours at the grocery store and 8 hours at the nursery? </h3>
To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:

<h3>b) How much does he earn if he works g hours at the grocery store and n hours at the nursery?</h3>

<h3>c) Total pay, 5 hours at the grocery store and 8 hours at the nursery:</h3>
You'll just have to just add the value in each of the jobs:
$80 + $176 = $256
<h3>d) Total pay, g hours at the grocery store and n hours at the nursery:</h3>
Adding the values of each job:
$16g + $22n
Hope this helps!
<span>Two lines that intersect to form right angles are called </span>Perpendicular lines