Answer:
hope it helps...
Step-by-step explanation:
The value of the constant of proportionality is k=5k=5
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=ky/x=k or y=kxy=kx
The value of the constant k is equal to the value of the slope
In this problem we have
y=5xy=5x ------> is a linear direct variation
The slope is m=5m=5
therefore
The value of the constant of proportionality is k=5k=5
Answer:
Step-by-step explanation:
Here are the steps to follow when solving absolute value inequalities:
Isolate the absolute value expression on the left side of the inequality.
If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.
If your problem has a greater than sign (your problem now says that an absolute value is greater than a number), then set up an "or" compound inequality that looks like this:
(quantity inside absolute value) < -(number on other side)
OR
(quantity inside absolute value) > (number on other side)
The same setup is used for a ³ sign.
If your absolute value is less than a number, then set up a three-part compound inequality that looks like this:
-(number on other side) < (quantity inside absolute value) < (number on other side)
The same setup is used for a £ sign
Answer:
30.25
Step-by-step explanation:
All angles of a line must add up to 180. Since we already know that one angle is 90 degrees, we know that the other angles should add up to 90 degrees in order for all of the angles to add up to 180 degrees:
(3x-7)+(x+8)=90
4x+1=90
4x=89
x=22.25
22.25+8= 30.25
Answer:
x = 4.
Step-by-step explanation:
Distribute, isolate and solve.
Answer:
The probability is 0.173
Step-by-step explanation:
The probability is of winning is 0.75 = 75/100 = 3/4
This means that the probability of losing is 0.25 = 25/100 = 1/4
So if they are two win 4 games, they will lose three
We can get this probability using the Bernoulli approximation of the binomial theorem
So here, we have
P(X = 4) = 7 C 4 * 0.75^4 * 0.25^3
= 0.173034667969
which is approximately 0.1730
