So,
Optimally, we want a number between 1 and 10 multiplied by a power of ten.
If we move the decimal place 6 places to the right, we get 6.
So we want

.
The correct option is C.
You havent added the options
The equation is 4(x-3) -(5x+1) = 3
The next step is solving the equation is to apply the distributive property and the equation becomes 4x - 12 - 5x - 5 = 3.
So the correct answer is the third option.
Answer:
The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
10% of all resistors having a resistance exceeding 10.634 ohms
This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.




5% having a resistance smaller than 9.7565 ohms.
This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.




We also have that:

So





The mean is

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.
<h3>Answer:</h3>
y = 0.1x +1500
<h3>Explanation:</h3>
You need an equation that will give Gary a salary of $1500 even if he makes no sales (x=0). The only possible choice for the second item is then ...
... +1500
You are expected to know that Gary's commission of 10% of sales is computed by multiplying sales (x) by 10%. That is, if Gary sells $100 worth of items, his commission is ...
... 10% × $100 = $10
That is, the multiplier is 0.1.
Gary's salary (y) is then computed as
... y = 0.1x +1500
_____
<em>Comment on percentages</em>
The % symbol is a shorthand way to write /100. That is, 10% = 10/100, ten hundredths, or 0.10. (You might notice here that "percent" and "hundredths" can be used interchangeably.)