Let x be a random variable representing the heights of adult American men. Since it is normally distributed and the population mean and standard deviation are known, we would apply the formula,
z = (x - mean)/Standard deviation
From the information given,
mean = 68
standard deviation = 2.5
The probability that the height of a selected adult is between 63 and 73 is expressed as

For x = 63,
z = (63 - 68)/2.5 = -2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 73,
z = (73 - 68)/2.5 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
Therefore,

Thus, the percentage of men are between 63 and 73 is
0.9545 * 100 = 95.45%
Rounding up to the nearest percentage, the answer is 95%
Answer:
64/3 tablespoons of sugar for 32 ounces of water
Step-by-step explanation:
In these kinds of questions it is nice to find how muc of 1 thing there is for every ONE of another. so 8 tablespoons of sugar for 12 ouncesof water you can divide both sides by 8 or 12.
Dividing it by 8 gets 8/8 = 1 tablespoon of sugar for 12/8 = 1.5 ounces of water.
Dividing by 12 gets 8/12 = 2/3 tablespoon of sugar for 12/12 = 1 ounce of water.
Now you can take one or the other and multiply it to fit whichever you want to fit a ratio.
It asks what happens if you use 32 ounces of water, so lets use the ratio where we hae 1 ounce, then multiply everything by 32.
2/3 tablespoon of sugar for 1 ounce of water
Multiply by 32 and you get 32*(2/3) = 64/3 tablespoons of sugar for 32 ounces of water
Answer:
1.67 this is rounded but original is just endless 6
Step-by-step explanation:
1 6/9
1 2/3
1.66
Hopes this help please mark brainliest
Answer:
28.11
Step-by-step explanation:
Answer:
5.5 yd
Step-by-step explanation:
The angle opposite to x is 20°
Reason: Alternate interior angles are equal
= tan 20°
x = 15 × tan 20° = 5.459553514 yd
That is 5.5 yd (answer rounded off to nearest tenth).