Answer:
Step-by-step explanation:
Given:
Number of people to be seated should be greater than 75.
Let be the number of people. So,
Now, there is a single private chef's table that can seat 3 people.
Tables bought by the owner =
Number of people seated in 1 table = 4
So, number of persons that can be seated in tables =
Now, total number of persons that can be seated in these two types of tables is the sum of 3 and
Therefore,
But,
Hence, the inequality to show the situation is:
Answer:
55 degrees is more unusual in July as it is away from mean temperature as compared to January.
Step-by-step explanation:
We are given the following information in the question:
January:
Mean, μ = 36 degrees
Standard Deviation, σ = 10 degrees
July:
Mean, μ = 74 degrees
Standard Deviation, σ = 8 degrees
We calculate z scores corresponding to x = 55.
Formula:
January:
July:
Thus, 55 degrees is more unusual in July as it is away from mean temperature as compared to January.
Answer:
76degrees
Step-by-step explanation:
Using the theorem which states that the vertex of the angle inside a circle is half the sum of the measured intercepted arcs. Hence;
Angle at the vertex = 53 degrees
Half the sum of intercepted arcs = 1/2(3x+3+10x-14)
Half the sum of intercepted arcs = 1/2(13x-11)
Equating to the vertex to find x
1/2(13x-11) = 53
13x - 11 = 2 * 53
13x - 11 = 106
13x = 106 + 11
13x = 117
x = 117/13
x = 9
For the arc 3x + 3
= 3(9) + 3
= 27 + 3
= 30degrees
For the arc 10x - 14
= 10(9) - 14
= 90 - 14
= 76degrees
Hence the measure of the larger of the two arcs is 76degrees
