Answer:
1. m<2 = 115 °
2. m<5 = 83 °
3. m<8 = 45 °
4. m<4 = 137 °
Step-by-step explanation:
1. Determination of m<2
m<1 = 115 °
m<2 =?
m<2 = m<1 (vertically opposite angles are equal)
m<2 = m<1
m<2 = 115 °
2. Determination of m<5
m<6 = 83 °
m<5 =?
m<5 = m<6 (vertically opposite angles are equal)
m<5 = m<6
m<5 = 83 °
3. Determination of m<8
m<9 = 45 °
m<8 =?
m<8 = m<9 (vertically opposite angles are equal)
m<8 = m<9
m<8 = 45 °
4. Determination of m<4
m<3 = 137 °
m<4 =?
m<4 = m<3 (vertically opposite angles are equal)
m<4 = m<3
m<4 = 137 °
Answer: No, the normal curve cannot be used.
Step-by-step explanation:
The theorem of the Normal approximation states that if X is B(n,p) then for large n X is N(np, np(1-p)).
The accuracy of this approximation is good
i. for n > [10/p(1-p)]
ii. p is close to 1/2
Hence given p= 4% = 0.04,
q = 1 - 0.04 = 0.96
Let N = [10/p(1-p)]
We find N = 10/p(1-p) = 10/(0.04× 0.96)
N ~= 260
Since n < 260 and p < 0.5
The approximation is not a good one
Answer:
See picture attached
Step-by-step explanation:
The graph of a non-proportional linear relationship is a line that does not cross through the origin. The graph of a proportional linear relationship does.
Given the general expression of a line: y = ax + b, where a and b are constants, if b is equal to zero, the line cross through the origin, otherwise the line inercept y-axis at value of b.
Direct variation means that y = kx, where k is a constant, then is a proportional linear relationship.
Given a cell phone company charges $19.95 per month for the first 2G, then $5 per gig over the initial 2G; the graph is a non-proportional linear relationship because the cost is never zero and the graph does not cross through the origin.
Given a cell phone company charges $29.95 per month always, then the cost is never zero and the graph does not cross through the origin.
Answer:
he stayed 8 hours and 35 minutes
Step-by-step explanation:
15 -7 =8
45-10=35
Answer:
The domain of a function is the complete set of possible values of the independent variable.
In plain English, this definition means:
The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
When finding the domain, remember:
The denominator (bottom) of a fraction cannot be zero
The number under a square root sign must be positive in this section
Step-by-step explanation:
