Answer:
A) 99.7% of people have an IQ between 64 and 136.
B) 5% of people have an IQ score less than 76 or greater than 124.
C) 16% of people have an IQ score greater than 112.
Step-by-step explanation:
The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.
A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.
B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.
C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.
Answer:
D' (1, 3)
Step-by-step explanation:
When reflected across the y = x line, the "x" and "y" coordinates switch.
If D is (3, 1), then:
x = 3
y = 1
Switch the "x" and "y" values, and rewrite as (x, y).
x = 1
y = 3
D' (1, 3)
Answer:
$3.74 per gallon
Step-by-step explanation:
1. Divide $44.88 by 12
2. The answer will be 3.74
3. Each gallon will cost $3.74
Answer:
12 cups of water
Step-by-step explanation:
This question has to do with conversion
We are told that she buy 1 quart and 1/2 gallon of water.
Hence,
1 quart of water = 4 cups of water
1 gallon of water = 16 cups of water
1/2 gallon of water = x
Cross Multiple
x = 1/2 × 16 cups of water
x = 8 cups of water.
Therefore, the total cups of water that she bought = 4 cups of water + 8 cups of water = 12 cups of water
(2/3)*(c-18)=7 <em>(Multiply terms on both sides of equation by 3)</em>
2(c-18)=21
2c-36=21
2c=57
c=57/2
c=28.5
