Answer:
The hypotenuse to the nearest tenth is 8.1
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
Let a be the x leg and b be the y leg
a = 7 units
b= 4 units
7^2 + 4^2 = c^2
49+ 16 = c^2
65 = c^2
Take the square root of each side
sqrt(65) = sqrt(c^2)
8.062257748 =c
To the nearest tenth
8.1 =c
Answer:
The value of the test statistic is of 0.22.
Step-by-step explanation:
Our test statistic is:
In which X is the sample mean, 
is the expected mean, 
is the standard deviation(square root of the variance) and n is the size of the sample.
A lumber company is making boards that are 2920.0 millimeters tall.
This means that 
.
A sample of 12 is made, and it is found that they have a mean of 2922.7 millimeters with a variance of 121.00.
This means that 
. So
The value of the test statistic is of 0.22.
Answer:
CD = AC
Step-by-step explanation:
CD = AC. "bisect" means "to divide in half." Half of AD is either AC or BC, which are equal to each other.
Answer:
Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:
Now that we have our equation, let's distribute the 
and the 
into the parentheses they are next to:
Combine like terms:
Subtract 
from both sides of the equation:
Divide by the coefficient of 
, which is 
:
~
Check your work by substituting 
into one of the equations above:
It's correct!
2x+y = -5. Solve this for y. We get y = -2x - 5. Find y^2: 4x^2 + 20x + 25. Substitute 4x^2 + 20x + 25 for y^2 in the first equation:
x^2 + 4x^2 + 20x + 25 = 25
Then 5x^2 + 20x = 0, so that x = 0. Subst. 0 for x in the 2nd eqn and find the value of y. Write your solutions as shown above: ( , ) and ( , ).
