Answer:
0.0903
Step-by-step explanation:
Given that :
The mean = 1450
The standard deviation = 220
sample mean = 1560
P(X> 1560) = P(Z > 0.5)
P(X> 1560) = 1 - P(Z < 0.5)
From the z tables;
P(X> 1560) = 1 - 0.6915
P(X> 1560) = 0.3085
Let consider the given number of weeks = 52
Mean 
= np = 52 × 0.3085 = 16.042
The standard deviation = 
The standard deviation = 
The standard deviation = 3.3306
Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.
Then;
Pr ( Y > 20) = P( z > 20)
From z tables
P(Y > 20) 
0.0903
<h3>
Answer: Not direct variation</h3>
The reason why is because it can't be written in the form y = kx
If we solved the given equation for y, we get y = -x+6. It has a y intercept of 6, but it should be zero if we wanted a direct variation equation.
He donated $285 to the salvation army.
The first thing to do is solve for "x". The equation would be {2(3x+60)}+5x+100=550.
Then, you would multiply 2 with 3x and 60. Your new equation would be 5x+120+5x+100=550.
Next, you would combine like terms. This means to combine the terms that are similar. In this case, it would be the whole numbers and the numbers with the variable. Your new equation would be 10x+220=550.
After that, you subtract 220 on both sides of the equal sign. This makes the equation 10x=330.
Then, you divide ten on both sides of the equal sign, giving you x=33.
The second things to is replace the x with 33. The amount for the salvation army is 5x+120. Replacing 33 with x, your final equation will be 165+120=$285.
Have a great day!!! :)
Answer:
y=-3x-1
Step-by-step explanation:
<u>Slope-intercept format:</u>
y = mx+b
m = slope
- In this case, the slope is -3
b = y-intercept
- In this case, the y-intercept is -1
Now we plug it in to get the equation:
y=-3x-1
I hope this helped!
Sincerely,
Rekifromsk8theinfinity
:D
Answer:
The ladder reaches 4.8 ft up the wall
Step-by-step explanation:
