Answer:
0.6856
Step-by-step explanation:
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Now; assuming X = no of complaints received in a week
Required:
To find P(77 < X < 120)
Using a Gaussian Normal Distribution (
108, 
= 20)
Using Z scores:
As a result X = 77 for N(108,20) is approximately equal to to Z = -1.75 for N(0,1)
SO;
Here; X = 77 for a N(108,20) is same to Z = 0.6 for N(0,1)
Now, to determine:
P(-1.75 < Z < 0.6) = P(Z < 0.6) - P( Z < - 1.75)
From the standard normal Z-table:
P(-1.75 < Z < 0.6) = 0.7257 - 0.0401
P(-1.75 < Z < 0.6) = 0.6856
a = 56
given 28 = 
a
multiply both sides by 2 to eliminate the fraction
56 = a
As a check
× 56 = 28 ← True
Answer:
c = 60.65 cm
Step-by-step explanation:
Given that,
The two sides of a triangle are 33 cm and 37 cm.
The angle between these two sides is 120°.
We need to find the length of the third side of the triangle. Let c is the third side. Using cosine rule,
a = 33 cm, b = 37 cm and C is 120°
So,
So, the length of the third side of the triangle is 60.65 cm.
The radius of the circle expressed as a mixed number is: 
inches.
<h3>What is the Radius of a Circle?</h3>
Radius of a circle = half the measure of the diameter of a circle.
Given:
diameter of a circle = 
inches
Therefore:
Radius of the circle = 1/2()
= 1/2(47/6)
= (1 × 47)/(2 × 6)
= 47/12
= inches.
Therefore, the radius of the circle expressed as a mixed number is: inches.
Learn more about radius of a circle on:
brainly.com/question/24375372
Answer:
The third score must be larger than or equal to 72, and smaller than or equal 87
Step-by-step explanation:
Let's name "x" the third quiz score for which we need to find the values to get the desired average.
Recalling that average grade for three quizzes is the addition of the values on each, divided by the number of quizzes (3), we have the following expression for the average:
SInce we want this average to be in between 80 and 85, we write the following double inequality using the symbols that include equal sign since we are requested the average to be between 80 and 85 inclusive:
Now we can proceed to solve for the unknown "x" treating each inaquality at a time:
This inequality tells us that the score in the third quiz must be larger than or equal to 72.
Now we study the second inequality to find the other restriction on "x":
This ine
quality tells us that the score in the third test must be smaller than or equal to 87 to reach the goal.
Therefore to obtained the requested condition for the average, the third score must be larger than or equal to 72, and smaller than or equal 87:
