Answer:
Step-by-step explanation:
<u>Simplifying Rational Expressions</u>
If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.
The expression is:
Operating on the numerators:
Removing parentheses:
Simplifying:
The expression cannot be further simplified.
Angle D is equal to Angle B because AB and DE are parallel to each other.
AD is a straight line so the (2) 2x angles and 72 degrees need to equal 180.
Setting up the equation you have:
2x + 2x + 72 = 180
Simplify:
4x + 72 = 180
Subtract 72 from each side:
4x = 108
Divide both sides by 4:
x = 108 / 4
x = 27
The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.
That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:
10 = 2(8) + b We need to solve for b.
10 = 16 + b
b = -6
Answer: P=8
Step-by-step explanation:
3p-5=19
U turn -5 to +5
Then u add 5 to both sides, -5 and 19
3p-5=19
+5=+5
-5 and +5 cancel each other out so know it’s
3p=24
Because 19 plus 5 is 24
Now u have to get the variable by itself by dividing 3 on both sides of the equal sign 3p and 24
3 and 3 cancel each other out so now you only have p=24 but then 24 divided 3 is 8
Answer:
The value of the test statistic is -3.14.
Step-by-step explanation:
Test statistic:
In which X is the sample mean, is the expected value, is the standard deviation and n is the size of the sample.
A company advertises that its cans of caviar each contain 100 g of their product.
This means that
They calculate a sample mean weight of 99 g and a sample standard deviation of 0.9 g. Sample of 8 cans.
This means that
So the test statistic will be given by:
The value of the test statistic is -3.14.