Answer:
you are distributing
Step-by-step explanation:
how this works is your distributing 3 into both things in () so in this case your are putting 3 into x which gives you 3x and 3 x 2 is 6. Hope this helps!
Answer:
17.3 cigarettes represent the 35th percentile
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:
What number of cigarettes would represent the 35th percentile?
This is the value of X when Z has a pvalue of 0.35. So it is X when Z = -0.385.
So
17.3 cigarettes represent the 35th percentile
If she cuts it then the angle would become a right angle so it sould be 90º
Answer:
Side B'A has a slope of 1 and is perpendicular to side BA
Step-by-step explanation:
When rotating clockwise 90 degrees x,y will become y,-x so lets apply this to the points.
A=(3,5) -->(5,-3)
B=(1,3)-->(3,-1)
C=(5,-1)-->(-1,-5)
D=(7,1)-->(1,-7)
Now that we have the coordinates for A'B'C'D' we will graph both rectangles, (you can do this using Geogebra you wont need an account)once graphed we can draw a long straight line using a straightedge through points BA and B'A' to see that they eventually intersect and the line through B'A' goes through 1 on the x-axis.
Answer:
40x + 30y ≤ 6,550
Step-by-step explanation:
Given:
Cost of each apple bushels = $40
Cost of each corn bushels = $30
Total budget = $6,550
Find:
Inequality
Computation:
Assume;
Total number of apple bushels = x
Total number of corn bushels = y
So,
40x + 30y ≤ 6,550
