Answer:
1a) Length = 7x + 3 & Width = 4x - 2
1b) Area = 
1c) Area = 2774 sq. m
2. 
Step-by-step explanation:
1a)
The length given as words is "3 more than 7 times x"
The width given as words is "4 times x minus 2"
The expression for length would be 7x + 3
The expression for width would be 4x - 2
1b)
The area is length * width
Since we already know the algebraic expressions for length and width from part (a) above, we use the formula:
Area = (7x+3)(4x-2) = 28x^2 -14x + 12x - 6 = 28x^2 -2x -6
Area =
1c)
Given x = 10, we put this into the area expression we found in (b) above.Let's see:
Area = 2774 sq. m
2.
We can group the first two terms and next two terms and write up:
That's the factored form.
Answer:
Margin of error at 90% is 0.024
Margin of error at 99% is 0.037
Step-by-step explanation:
Sample size = 1076
A poll found that 64% of a random sample of 1076 adults said they believe in ghosts.
So, No. of adults said they believe ghosts = 
So, x = 688
n = 1076
z at 90% confidence is 1.64
So, margin of error at 90% is 0.024
Find the margin of error needed to be 99% confident.
z at 99% confidence is 2.58
So, margin of error at 99% is 0.037
Answer:
B
Step-by-step explanation:
Given 2 quantities that vary directly, then the graph must pass through the origin.
Nikiya's graph is the only one to do this ⇒ B
This is a question of proportionality. However, it is not direct proportionality as it is expected that as the number of tractors increases, the work is finished faster as opposed to fewer number of tractors. This is referred to as inverse proportionality.
Therefore;
6 tractors ----- 10 days
18 tractors --- x days
Then,
x = (6*10)/18 = 10/3 days = 3 days, and 8 hours.
This means that 18 tractors will take 3 days and 8 hours to collect the same harvest.
Answer:
about 151 feet
Step-by-step explanation:
The height of the ball at a time of 3.1 seconds is given by Charlize's equation as ...
h(3.1) = -16(3.1)^2 +3 = -150.76 . . . feet
The well is about 151 feet deep.
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<em>Comment on this measurement</em>
The speed of sound is sufficiently slow that it will make a difference in the time Charlize records. She would get a more accurate measurement if she were able to <em>see</em> the ball hit bottom.
