Question options :
a. They should be between 64 and 76 inches tall.
b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.
c. They should be at or below the 95th percentile, which is 74.92 inches.
d. None of the above.
Answer: a. They should be between 64 and 76 inches tall.
Step-by-step explanation:
Given the following :
Assume men's height follow a normal curve ; and :
Mean height = 70 inches
Standard deviation= 3 inches
According to the empirical rule ;
Assuming a normal distribution with x being random variables ;
About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.
Using the empirical rule :
95% will fall between + or - 2 standard deviation of the mean.
Lower limit = - 2(3) = - 6
Upper limit = 2(3) = 6
(-6+mean) and (+6+ mean)
(-6 + 70) and (6+70)
64 and 76
Answer:
cost of ribeye steak dinners = $10.36
cost of grilled salmon= $11.581
Step-by-step explanation:
Let the cost of one steak dinners be x
Let the cost of one grilled salmon be y
One a particular day the waitress sells 12 ribeye steak dinners and 39 grilled salmon for a total is $575.53 which can be written in equation as
12(x)+39(y)= $575.53-------------------------------------(1)
On another day she sells 25 ribeye steak dinners and 13 grilled salmon dinners totals to $582.43.This can be represented as
25(x)+ 13(y)= $582.43-------------------------------------(2)
solving the equation (1) and (2)
eq(1) x 1
eq(2) x 3
-------------------------(3)
Subtracting these equation we get,
x= 10.36
Now substituting this in equation (1)
y=11.581
Answer:
g < -7
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
*Note:
When dividing or multiplying both sides of the inequality by a negative, <em>flip</em> the inequality sign.
<u>Step 1: Define</u>
<em>Identify.</em>
4 - 5g > 39
<u>Step 2: Solve for </u><u><em>g</em></u>
- [Subtraction Property of Equality] Subtract 4 on both sides: -5g > 35
- [Division Property of Equality] Divide -5 on both sides: g < -7
∴ any number <em>g</em> less than -7 would work as a solution to the inequality.
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Topic: Algebra I
Unit: Inequalities
Answer:
two
Step-by-step explanation:
The exact value of sec(60°) sec ( 60 ° ) is 2 .
