The percentage of yellow tint in the new mixture will be 39.1304...%
<em><u>Explanation</u></em>
A mixture of 60 liters of paint is 25% red tint, 30% yellow tint and 45% water.
So, the amount of yellow tint liters.
Now, 9 liters of yellow tint are added to the original mixture. So, the <u>total amount of yellow tint in the new mixture</u> will be: liters.
And the <u>total amount of the new mixture</u> will be: liters.
So, the percentage of yellow tint in the new mixture
Answer:
A) (5, 7π/4): (5, 15π/4) and (-5, 3π/4)
B) (−6, π/2): (−6, 5π/2) and (6, -π/2)
C) (5, −2): (5, 2π-2) and (-5, -π-2)
Step-by-step explanation:
To find pair of coordinates for (r>0), add 2π to corresponding θ. For (r<0) subtract π from given angle to find second pair of coordinate.
A) (5, 7π/4)
For (r>0)
θ = 7π/4 + 2π
θ = 15π/4
Point is (5, 15π/4)
For (r<0)
θ = 7π/4 - π
θ = 3π/4
Point is (-5, 3π/4)
As it can be seen in Fig 1
(5, 7π/4)=(5, 15π/4)=(-5, 3π/4)
B) (−6, π/2)
For (r>0)
θ = π/2 + 2π
θ = 5π/2
Point is (6, 5π/2)
For (r<0)
θ = π/2 - π
θ = -π/2
Point is (-6, -π/2)
As shown in fig 2
(-6, π/2) = (6, 5π/2) = (-6, -π/2)
C) (5, −2)
For (r>0)
θ = -2 + 2π
Point is (5, 2π-2)
For (r<0)
θ = -2 - π
Point is (-5, -π)
As shown in Fig. 3
(5, −2) = (5, 2π-2) = (-5, -π)
Answer:
0.7422 = 74.22% of scores are above 74.
Step-by-step explanation:
Problems of normally distributed samples can be 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.
In this problem, we have that:
Calculate the proportion of scores above 74.
This is 1 subtracted by the pvalue of Z when X = 74. So
has a pvalue of 0.2578
So 1-0.2578 = 0.7422 = 74.22% of scores are above 74.
