Answer:
Her son mowed more of the yard than Ms. Jones did.
32 percent of the yard still needs to be mowed.
Step-by-step explanation:
Find the LGM of 1/4 and 3/7 - that is 28
1/4 to 7/28 and 3/7 to 12/28
3/7 is more than 1/4
Her son mowed 43% of the yard or 7/28 of the yard or 1/4 of the yard.
Ms. Jones mowed 25% of the yard or 12/28 of the yard or 3/7 of the yard.
Together they mowed 68% of the yard or 19/28 of the yard.
They still have 32% of the yard left to mow, or 9/28 of the yard left to mow.
Answer:
60
Step-by-step explanation
Okay, uh... this is gonna be confusing to explain.
So a hexagon's angles add up to 720. This means, we can find each angle's supplementary angle by subtracting each value we know away from the total.
So, we know the inside angle of angle 6 is 90.
So: 720-90=630
Now, typically, you would divide by the remaining angles, but we have basically 2 angles of different values since 1, 2, and 3 are equal, and 4 and 5 are equal.
However, we know that 1, 2, and 3 are 10 degrees less than 4 and 5. So if we "add" 10 degrees to each of those angles we get:
10*3=30
630-30=600
Now we made it as though each angle (1-5) is equal. So now we divide by 5.
600/5=120
This means the supplementary of angles 4 and 5 is 120, so we subtract that value from 180 since a straight angle is 180.
180-120=60
Now, to check this we reverse it.
(120*2)+(120*3)+(10*3)+(90)=
240+360+30+90=
600+30+90=
600+120=
720.
Um... I think this is it?? Your school is scary :o
The biggest common factor number is the GCF number. So the greatest common factor 55 and 65 is 5.
Answer:
Variance =10900.00
Standard deviation=104.50
Step by step Explanation:
Admissions Probability for 1100= 0.2
Admissions Probability for 1400=0.3
Admissions Probability for 1300 =0.5
To find the expected value, we will multiply each possibility by its probability and then add.
mean = 1100*0.2 + 1400*0.3 + 1300*0.5 = 1290
To find the variance, we will start by squaring each possibility and then multiplying it by its probability. We will then add these and subtract the mean squared.
E(X^2)=( 1100²*0.2)+ (1400²*0.3 )+ (1300²*0.5) = 1675000
Variance(X)=E(X²)- [E(X)]²
= 1675000 - (1290)²
=10900
Hence, the Variance(X)=10900
Then to calculate the standard variation , we will use the formular below,
standard variation (X)=√ var(X)= √10900
=104.5
Hence the standard variation=104.5
Answer:
has a maximum value
Step-by-step explanation:
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