Explanation - 7.5 is greater than 7.05, therefore you would use the '>' symbol
First, write an equation system for the problem
For example, x represents the first angle and y represents the second angle
An equation for "t<span>he measure of an angle is seventeen times the measure of a complementary angle" is
</span>∴ <span>x = 17y
The sum of complementary angle is 90</span>°. It can be written as<span>
</span>∴ x + y = 90°
<span>
Second, use subtitution method to find the value of x and y
Subtitute x with 17y
x + y = 90</span>°
17y + y = 90°
18y = 90°
y = 90°/18
y = 5°
Subtitute y with 5°
x = 17y
x = 17(5)
x = 85°
The measure of each angle is 5° and 85°
Answer: Last Option
Step-by-step explanation:
Cramer's rule says that given a system of equations of two variables x and y then:
For this problem we know that:
Solving we have:
Solving we have:
Solving we have:
Finally
Answer:
2.5% of IQ scores are no more than 65
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 95
Standard deviation = 15
Using the empirical rule, what percentage of IQ scores are no more than 65?
65 = 95 - 2*15
So 65 is two standard deviations below the mean.
By the Empirical Rule, 95% of the measures are within 2 standard deviation of the mean. Of those 5% which are not, 2.5% are more than 2 standard deviations above the mean and 2.5% are more than 2 standard deviations below the mean.
So 2.5% of IQ scores are no more than 65
27-2b > -6
-2b > -6-27
-2b > -33
b < -33/-2 (you have to change the sign when you divide with a negative number)
b < 16.5
(all the signs are supposed to have a line under them to make them greater or equal or less than or equal to)
