Using the normal distribution relation, the probability that sample will exceed the weight limit is 0.004
<u>Using the relation</u> ::
The mean, μ = np = (162 × 19) = 3078
The standard deviation, σ = 28 × √19 = 122.049
<u>The Zscore</u> :
Zscore = (3401 - 3078) ÷ (122.049)
Zscore = 2.65
Hence,
P(Z > 2.65) = 1 - P(Z < 2.65)
Using a normal distribution table :
P(Z > 2.65) = 1 - 0.9959
P(Z > 2.65) = 0.004
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Boy record = 25 feet 8 inches
Girl record = 19 feet 19 inches
Boy record / Girl record = 25 feet 8 inches / 19 feet 19 inches
Change the feet into inches
1 feet = 12 inches
25 feet = 25* 12 = 300 inches + 8 inches = 308 inches
19 feet = 19 * 12= 228 inches + 19 inches = 247 inches
Boy record / Girl record = 308 inches / 247 inches
Boy record / Girl record = 1.246 inches
Boy record = 1.246 Girl record
So
it is 1.246 times greater than girls record.
Answer
Sal spent 43 minutes jogging per day last week.
Elena spent 45 minutes jogging per day last week.
Step-by-step
Part 1: Find the number of minutes Sal jogged.
1. Find the number of minutes out of the week that were spent jogging.
240 - 25 = 215
Sal spent 215 minutes jogging.
2. Find the number of minutes per day he spent jogging.
215 / 5 = 43
Sal spent 43 minutes jogging per day last week.
Part 2: Find the number of minutes Elena jogged.
1. Find the number of minutes out of the week that were spent jogging.
300 - 15(5) = 300 - 75 = 225
Elena spent 225 minutes jogging.
2. Find the number of minutes per day she spent jogging.
225 / 5 = 45
Elena spent 45 minutes jogging per day last week.
ANSWER
A. 22 in
EXPLANATION
The volume of a cone is calculated using the formula:
It was given that: the volume is 2,279.64 in³
The height of the cylinder is also given as: h=18 in.
We substitute, the given values into the formula to get:
We take positive square root to get;
Therefore the diameter is 2(11) which is equal to 22 inches.
To do this, you got to square 256.
The square root of 256 is 16.
Therefore, there are 16 small squares on each edge of the mosaic.
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25 squares. Square root is 5. 5 along each edge. My work shares same concept.
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There are 256 squares, and you can count 16 on each edge. this shows 16 times 16, or 16 squared, which is 256.
