Answer:
The measure of the three angles are;
The first angle is 62°
The second angle is 28°
The third angle is 90°
Step-by-step explanation:
The given information are;
The shape of the parking lot = Triangular
Let the angles of the triangle be given as follows
First angle = A
Second angle = B
Third angle = C
The given triangle interior angle dimensions are;
A = 6 + 2× B
C = A + B
However, we have;
A + B + C = 180° (Angle sum property for a triangle)
Therefore;
A + B + C = 180° gives;
C + C = 180° (Transitive property)
2·C = 180°
C = 180°/2 = 90°
C = 90°
However, C = A + B therefore;
90° = A + B and, A = 6 + 2 × B, we get;
A + B = 90° (Symmetric property)
6 + 2× B + B = 90° (Substitution property)
6 + 3·B = 90°
3·B = 90° - 6° = 84°
B = 84°/3 = 28°
B = 28°
From, A = 6 + 2 × B, we have;
A = 6 + 2 × 28° = 62°
A = 62°
First angle = A = 62°
Second angle = B = 28°
Third angle = C = 90°
The measure of the three angles are;
First angle is 62°
Second angle is 28°
Third angle is 90°.
B=29.4 !!!!!!!! this how i do it
X = the number of months the tire was used
y = the thickness of the tire tread
y = -(3/7)x + 20
Substitute x for 20 (the number of months the tire was used) and solve for y.
The next question: Substitute x for 49 (the number of months the tire was used) and solve for y.
Answer:
And we can find this probability using the complement rule:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
Answer B.
X represents the number of years grown
Y represents the total number of feet grown