Answer:
Step-by-step explanation:
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Answer:
Using the ratio table the dogs weight is:
30 pounds = 13.5 kilograms
Step-by-step explanation:
For this case we have the following conversion:
20 pounds = 9 kilograms
To use the table what we must do is find another relationship that allows us to find the weight in kilograms for 30 pounds.
For example, half the weight in pounds is half the weight in kilograms.
Therefore, the given conversion is:
10 pounds = 4.5 kilograms
So, for 30 pounds, we multiply this last ratio obtained by three on both sides:
30 pounds = 13.5 kilograms
Then, the table is:
Pounds 10 20 30
Answer:
The correct answer is option 1. cubic units.
Step-by-step explanation:
The formula for the volume, V of a right angled cone is given as:
Where,
is the radius of the circular base of the cone.
is the height of the cone.
We are given that height is twice of the radius of its base.
Let the radius of base = units
Now, As per the question statement,
The height of cone= units
Putting the values of in equation (1) to find the volume:
Hence, the correct answer is option 1. cubic units.
Answer:
weight of large box = x kg=18.25kg
weight of small box =y kg=15.5kg
Step-by-step explanation:
2 large boxes and 3 small boxes has a total weight of 83 kilograms.
2x+3y=83--------- eq 1
4 large boxes and 8 small boxes has a total weight of 197 kilograms.
4x+8y =197 -------eq 2
multiply eq 1 with -2
-4x-6y =-166
now add both equations
-4x-6y=-166
4x+8y=197
______________________
2y= 31
y=15.5
substitute value of y=17 in eq 1
2x+3y=83
2x+3(15.5)=83
2x+46.5=83
2x =36.5
x=18.25
Imagine (or draw) a standard normal curve. Draw a vertical line through the center of this curve, and mark it 3.25 inches. This is the mean diameter. Next, draw vertical lines to represent these sums: 3.25 plus .25, or 3.50 inches; 3.25 less .25, or 3.00 inches, and 3.25 less .50 inches, or 2.75 inches.
Note that 2.75 inches is 2 standard deviations below the mean: That's 2.75 inches less twice 0.25 inches, or 2.75 = 3.25 inches less 2(0.25) inches.
onions with diameters less than 2.75 are rejected; onions with diameters greater than 2.75 inches are accepted.
Find the area to the LEFT of 2.75 inches. In other words, find the area to the left of 2 standard deviations below the mean.
I would use the Empirical Rule here: "68% of data is within 1 standard dev. of the mean; 95% is within 2 standard dev. of the mean.
This tells us that the area to the left of 2.75 inches or -2 standard deviations is 0.025 (half of 0.050). Subtract this from 1.000; you'll get 0.975. This means that 97.5% of the onions will prove to be acceptable, whereas 2.5% will be rejected because they are less than 2.75 inches in diameter.
You could also use a table of z-scores to do this: Determine from the table the area under the std. normal curve to the left of -2 std. dev. Again, this comes out to 0.025, meaning that the area to the right of -2 std. dev is 0.975.