Answer:
The probability is 8 over 15.
Step-by-step explanation:
14 of the musicians play both guitar and drums, 28 play drums, 18 play the guitar.
It means n(G and D)=14, n(D)=28, n(G)=18.
Using the formula of Union:-
n(G or D) = n(G) + n(D) - n(G and D).
n(G or D) = 18 + 28 - 14.
n(G or D) = 32.
It says 60 musicians applied for a job at a music school. So n(U)=60.
The probability that the applicant who gets the job plays drums or guitar is = n(G or D)/n(U) = 32/60 = 8/15.
Hence, the probability is 8 over 15.
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Answer:
8710 units
Step-by-step explanation:
<em>Step 1: Write all the data</em>
Fixed cost: $9000
Average variable cost: 9.3 per unit
Total cost: 90,000
Total units: x
<em>Step 2: Find the total variable cost</em>
Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.
Total variable cost = average variable cost per unit x number of units
Total variable cost = 9.3x
<em>Step 3: Make the formula for finding x</em>
Total cost = total fixed cost + total variable cost
90,000 = 9000 + 9.3x
81000 = 9.3x
x = 8709.67
Rounded off to 8710 units
!!
Answer:
<BAC=19
Step-by-step explanation:
<AOB=<DOC=142
<BAC=<ABD
2<BAC=180-142
2<BAC=38
<BAC=38/2
<BAC=19
Answer:
Largest prime factor of the given expression is <em>379.</em>
Step-by-step explanation:
Given the expression:
To find:
The largest prime factor of the given expression.
Solution:
First of all, let us factorize the given expression.
Let us learn two formula:
Applying the above formula in the expression written above:
...... (1)
Similarly:
........ (2)
Multiplying the expressions from (1) and (2) to get the result:
So, largest prime factor of the given expression is <em>379.</em>
