Answer:
12
Step-by-step explanation:
A = ½(b1 + b2)h
A = (3 + 5)(3)/2
A = 12
Answer:
y=(-4/1)x-5
Step-by-step explanation:
You need to find the slope of the line and the y intercept, you can do this by plotting the points into a graph and figuring it out that way, or you can use the equations y2-y1/x2-x1 (for slope) and y=(*the slope from the other equation*)x+b. For both equations plug in a corresponding x and y coordinate given on the list (y1 and y2 would be consecutive coordinates, so 1 and 2, and same for x1 and x1, so -9 and -13). You should get (-4/1) for the slope, and when you plug that into the other equation you should get 5. Lastly you plug all these numbers into y=mx+b, and you get your answer.
Hope this helps :)
Answer:
Step-by-step explanation:
Since x represents the length in feet, and the width is 2 ft shorter than 3 times the length, the width is 3x-2.
The perimeter is twice the sum of length and width, so we can write the equation ...
76 = 2(x + (3x-2))
38 = 4x -2 . . . . . divide by 2, simplify
40 = 4x . . . . . . . .add 2
10 = x . . . . . . . . . the length of the garden is 10 ft
The width of the garden is ...
3·10 -2 = 28 . . . feet
The width of the garden is 28 feet.
Answer:
C. 47.5%
Step-by-step explanation:
The summary of the given statistics include:
mean =150000
standard deviation: 1200
The objective is to use tributed with a mean of $150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid: between $150,000 and $152,400
The z score formula can be use to calculate the percentage of the buyer who paid.
For the sample mean x = 150000
z = 0
For the sample mean x = 152400
z = 2
From the standard normal distribution tables
P(150000 < X < 152400) = P(0 < z < 2 )
P(150000 < X < 152400) =P(z<2) -P(z<0)
P(150000 < X < 152400) =0.9772 -0.5
P(150000 < X < 152400) = 0.4772
P(150000 < X < 152400) = 47.7% which is close to 47.5% therefore option C is correct
