Answer:
<h3> 0.125 galon of 35% acid solution</h3>
Step-by-step explanation:
0.5 gallon of a 10% acid solution
10%•0.5 = 0.05 gallon of acid in that solution
x gallon of 35% acid solution
35%•x = 0.35x gallons of acid in that solution
0.05 + 0.35x total of gallons of acid in both solutions
(0.5+x) gallons of 15% acid solution
15%(0.5+x) = 0.15(0.5+x) gallons of acid in that solution
the amount of gallons of acid didn't change after mixing, so:
0.05 + 0.35x = 0.15(0.5 + x)
0.05 + 0.35x = 0.075 + 0.15x
0.35x - 0.15x = 0.075 - 0.05
0.2x = 0.025
×5 ×5
x = 0.125
Three feet is 1 yard. 26 feet would be 26/3=8 2/3 yards long.
Answer:
(a)31.42 inches
(b)942.48 Square Inches
Step-by-step explanation:
Given a sector of a circle with the following dimensions:
Radius of the circle =60 inches
Central Angle of the sector =30°
(a)Arc Length
Arc Length
(b)Area of the sector
Area of the sector
Answer:
0.281 = 28.1% probability a given player averaged less than 190.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
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.
A bowling leagues mean score is 197 with a standard deviation of 12.
This means that
What is the probability a given player averaged less than 190?
This is the p-value of Z when X = 190.
has a p-value of 0.281.
0.281 = 28.1% probability a given player averaged less than 190.
what are the x-intercepts of the graph of the function f(x) = x2 4x – 12? (–6, 0), (2,0) (–2, –16), (0, –12) (–6, 0), (–2, –16),
joja [24]
F(x) = x^2 + 4x - 12
x-intercepts are the values of x when y = 0
x^2 + 4x - 12 = 0
(x - 2)(x + 6) = 0
x - 2 = 0 or x + 6 = 0
x = 2 or x = -6
Therefore the x-intercepts are (-6, 0), (2, 0)