we know that
In the right triangle ABC
∠
∠
------> by complementary angles
so
Step 
Find the measure of angle B
we know that
in this problem
so
Step 
Find the measure of angle A
therefore
the answer is the option
35.5° and 54.5°
Answer:
d. 0.0023
Step-by-step explanation:
Calculation for the probability of getting a sample average of 1.8 or less
Using this formula
z score =(X-mean)/Standard errror
Where,
Standard error =Standard deviation/√(n)
Let plug in the formula
P(Xbar<1.8)=P(Z<(1.8 hours per day -2.2 hours per day)/(2 hours /√(200))
P(Xbar<1.8)=P(Z<-0.4/(2/14.14))
=P(Z<-0.4/0.1414)
=P(Z<-2.83)
Now let find the Z score of P(Z<-2.83) using the z table
P=0.0023
Therefore the probability of getting a sample average of 1.8 or less is:0.0023
Answer:
x = -1/2
Step-by-step explanation:
To solve the equation, we first need to combine like terms:
Simplify further:
Divide by -12 on both sides to get:
To check the solution, plug x back into the original equation and check if we get the correct answer:
Thus, it checks out and our answer is correct.
Answer:
5.7 I pretty sure
Step-by-step explanation:
Answer:
3 6/10 square feet
Step-by-step explanation:
The area of the rectangle is 8 1/10
The width of the rectangle is 2 1/4
We are required to find the length
Area= length × width
Length= Area/width
= 81/10 / 9/4
= 81/10 × 4/9
= 36/10
= 3 6/10
Hence the length of the rectangle is 3 6/10 square feet
