If Sandra mixes <em>x</em> L of 65% solution with <em>y</em> L of 90% solution, then the resulting mixture has a total volume of
<em>x</em> + <em>y</em> = 500
litres, and it contains
0.65<em>x</em> + 0.90<em>y</em> = 0.75 (500) = 375
litres of alcohol.
Solve the first equation for <em>y</em> :
<em>y</em> = 500 - <em>x</em>
<em />
Substitute this into the second equation and solve for <em>x</em> :
0.65<em>x</em> + 0.90 (500 - <em>x</em>) = 375
0.65<em>x</em> + 450 - 0.90<em>x</em> = 375
75 = 0.25<em>x</em>
<em>x</em> = 300
Solve for <em>y</em> :
<em>y</em> = 500 - 300
<em>y</em> = 200
So, Sandra should mix 300 L of 65% solution with 200 L of 90% solution.
Answer: B. Outlier
Step-by-step explanation:
An outlier is an extremely large or extremely small data value in a data set such that it appears far from the other data points when we plot data points on scatter plot or box plot.
Thus, the data point that is the farthest from other data points when the box plot is NOT symmetrical is Outlier.
Its presence affects the value of mean directly. So when a data set have outliers , we prefer Median(Mid value of a data set) as the best measure of central tendency because existence of outliers does not effect Median .
Hence, the correct option is B. Outlier.
Answer: If the null hypothesis is true, the probability of observing a sample mean of at least 5.15 minutes is .031
Step-by-step explanation:
Answer: p = 75 + 250
Equation of the situation, in slope-intercept form is given as .
Where,
b = y-intercept
m = slope
n = number of computers sold
p = total cost
All we need to find is the value of m and b.
Using two pairs from the table of values, (4, 550) and (6, 700):
Substitute n = 4, p = 550, and m = 75 in , and find the value of b.
Subtract 300 from each side
b = 250
Substitute m = 75, and b = 250 in
✅Equation that represents the situation would be:
Answer:
-2/1 or -2
Step-by-step explanation:
in an equation this would be y=-2x-3
