Answer:
400 times Greater
Step-by-step explanation:
8 x 10^4
10^4 = 10000
10000 x 8 = 80000
2 x 10^2
10^2 = 100
2 x 100 = 200
= 400
Let's turn this sentence into an equation:
8n = -n + 36
Then solve:
9n = 36 => n=4
Answer:
0.1587
Step-by-step explanation:
Here, mean=μ=100 and standard deviation=σ=16.
We have to find P(average MDI scores of 64 children > 102)=P(xbar>102).
n=64
μxbar=μ=100
σxbar=σ/√n=16/√64=16/8=2
P(xbar>102)=P((xbar-μxbar)/σxbar>(102-100)/2)
P(xbar>102)=P(z>1)
P(xbar>102)=P(0<z<∞)-P(0<z<1)
P(xbar>102)=0.5-0.3413
P(xbar>102)=0.1587
Thus, the probability that the average is greater than 102 is 15.87%
Answer:
2 degrees and 178 degrees.
Step-by-step explanation:
So, remember if 2 angles are supplementary, they equal 180 degrees. Let's call the smaller angle x, meaning the bigger angle, which is 89 times the size of the smaller angle, would be 89x. Now let's put that into an equation.
180 = x + 89x
We now have to group the x's together:
180 = 90x
Now in order to determine x, we have to divide by 90 on both sides.
X= 2
So we know that the smaller angle is 2, meaning that if the larger angle is 89 times the size, the larger angle would be 178.
Answer:
Width of the rectangular Park = 11 feet
Step-by-step explanation:
Given that the total length of the fencing is 62 feet. As has to be fenced around a rectangular park , it would be the perimeter of the rectangular park.
Also Shana wants the length of the run to be 20 feet. Hence the length of the park is 20 feet.
Here we will use the formula for perimeter to find the width of the run
Perimeter = 2(l+w)
62=2(l+w)
l+w = 
l+w=31
20+w=31
w=31-20
w=11
Hence the width of the run for her dog in park would be 11 feet.