Answer:
45 degrees
Step-by-step explanation:
Let the angle to be solved be
x
Let the supplement/compliment by
y
x+
y=90
Complimentary angles add up to 90 degrees.
x+3
y=180
Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.
Evaluating this as a system:x+y=90 Isolate x:x=90−y Input into the other equation:(90−y)+3y=180Combine like terms, isolate y and its coefficients:2y=90 Isolate yy=45 Input into the first equation:x+45=90 Isolate x:x=45 degrees
Answer:
Her commute would be between 32 and 35 minutes 33 times.
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.
In this problem, we have that:

Proportion of days in which the commute is between 32 and 35 minutes:
This is the pvalue of Z when X = 35 subtracted by the pvalue of Z when X = 32.
X = 35



has a pvalue of 0.94.
X = 32



has a pvalue of 0.8133.
0.94 - 0.8133 = 0.1267
Out of 262 days:
Each day, 0.1267 probability
0.1267*262 = 33
Her commute would be between 32 and 35 minutes 33 times.
Answer:
A'(-4,-3)
Step-by-step explanation:
use formula of reflection over y axis
(x,y)=(-x,y)
A(4,-3)=A'(-4,-3)
Answer:
Price demand function
Step-by-step explanation:
The price demand function is the function in which there is a relationship between the demand and the price of the product
The Price demand function is


hence, the price demand function represents that there is a relationship that lies between the demand and the price
Answer:
64 points/80 points
80/100
Step-by-step explanation:
ez