Answer: Choice B) 17.5 feet
A = Area of rectangle
L = length
W = width
The formula to use is A = L*W, so we multiply length and width.
We know W = 7 but we don't know what L is.
We know that A = 122.5 is also given
So let's solve for L
A = L*W
L*W = A
L*7 = 122.5 plug in the given values
7*L = 122.5
7*L/7 = 122.5/7 divide both sides by 7
L = 17.5
He should cut 17.5 feet of streamer. Keep in mind that this only applies if Adrian wants to make the streamer completely taut and a straight line across the ceiling/wall. If he wants the streamer to hang down a bit (forming a shape like a rope bridge in a sense), then the streamer's length will have to be a bit longer to account for the extra distance along the curve.
We know that
The Standard Form<span> of a </span>Quadratic Equation<span> is
</span> ax²<span> + bx + c = 0
</span>
then
for x=0 y=-6
a*0² + b*0 + c = -6---------> c=-6
for x=1 y=2
a*1² + b*1 -6 = 2---------> a+b=8---------> a=8-b---------> equation 1
for x=3 y=-0
a*3² + b*3 -6 = 0---------> 9a+3b=6---------> equation 2
<span>substituting 1 in 2
9*(8-b)+3b=6------> 72-9b+3b=6---------> 6b=66--------> b=11
a=8-11-------> a=-3
so
a=-3
b=11
c=-6
</span>Standard Form of a Quadratic Equation is
-3x² + 11x - 6 = 0
<span>
the answer is
</span> -3x² + 11x - 6 = 0<span>
</span>
The answer is D. the data shows a positive linear association.
Answer:
There is sufficient statistical evidence to state that the average hours of productive work, after announcing the stimulus, has increased significantly
Step-by-step explanation:
To solve this problem, we run a hypothesis test about the difference between population means with dependent samples. Consider the differences in average hours of productive work after the stimulus minus average hours of productive work before the stimulus.
Difference in the null hypothesis (Do) = 0
Sample size (n) = 10
Mean of the sample differences (DM) = 0.19
Standard deviation of the sample differences (SM) = 0.1729
Significance level = 0.01
H0: Do = 0
Ha: Do> = 0
Test statistic =
Right critical T value (for 0.01) = 2.8214
Calculated statistic =
p-value = 0.00350
Since, the value of the test statistic is greater than the value of the calculated statistic, the null hypothesis is rejected. There is sufficient statistical evidence to state that the average hours of productive work, after announcing the stimulus, has increased significantly. The p - value is 0.00350.
Hi!
First let's find the LCD of all of the fractions, and change all of them.
The LCD of 3, 6, 8, and 10 is 120.
Now change all of the fractions.
120/3 = 40
2 x 40 = 80
80/120
120/6 = 20
7 x 20 = 140
140/120
120/8 = 15
1 x 15 = 15
15/120
120/10 = 12
9 x 12 = 108
108/120
Now, line up all of the new fractions, and put them in order from least to greatest.
80/120, 140/120, 15/120, 108/120
15/120, 80/120, 108/120, 140/120
1/8, 2/3, 9/10, 7/6
^the answer
Hope this helps! :)