Answer:
c. 2
Step-by-step explanation:
Given : X = No. of hours worked
No. of people work for the manager = 50
X = 3, 4 , 5 , 6 , 7, 8
P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06
To Find : No. of people work for four hours
Solution : First understand the fact that sum of all probabilities is equal to 1
So, sum of all values of P(X) = 1
⇒
⇒
⇒
⇒
So, the probability of no. of people worked for 4 hours is 0.04.
⇒P(4)=0.04
Thus , To calculate no. of people work for four hours :
⇒ 2 no. of people work for four hours per shift .
In order to solve this, you have to set up a systems of linear equations.
Let's say that children = c and adults = a
30a + 12c = 19,080
a + c = 960
I'm going to show you how to solve this system of linear equations by substitution, the easiest way to solve in my opinion.
a + c = 960
- c - c
---------------------- ⇒ Step 1: Solve for either a or c in either equation.
a = 960 - c
20(960 - c)+ 12c = 19,080
19,200 - 20c + 12c = 19,080
19,200 - 8c = 19,080
- 19,200 - 19,200
---------------------------------- ⇒ Step 2: Substitute in the value you got for a or c
8c = -120 into the opposite equation.
------ ---------
8 8
c = -15
30a + 12(-15) = 19,080
30a - 180 = 19,080
+ 180 + 180
-------------------------------
30a = 19,260
------- -----------
30 30
a = 642
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I just realized that there can't be a negative amount of children, so I'm sorry if these results are all wrong.
Answer:
Option 1
Step-by-step explanation:
The given equation equals 3072, so find the other equation that equals 3072.
Option 1 = 3072 - correct
Option 2 = 432 - wrong
Option 3 = 2883 - wrong
Option 4 = 432 - wrong
I hope this helps!
Answer:
The number of times Ivan and Adeline have the same number written on the board is 6.
Step-by-step explanation:
Consider the procedure as follows:
- On each half of the board, the number 2 is written.
- On Ivan's teacher's signal, Ivan multiplies the number on his side of the board by -2 and writes the answer on the board, erasing the number he started with.
- Adeline does the same on each signal, except that she multiplies by 2.
- The teacher gives 10 signals in total.
Consider the numbers on each half of the board:
Ivan Adeline
2 2
2 × -2 = -4 2 × 2 = 4
-4 × -2 = 8 4 × 2 = 8
8 × -2 = -16 8 × 2 = 16
-16 × -2 = 32 16 × 2 = 32
32 × -2 = -64 32 × 2 = 64
-64 × -2 = 128 64 × 2 = 128
128 × -2 = -256 128 × 2 = 256
-256 × -2 = 512 256 × 2 = 512
512 × -2 = -1024 512 × 2 = 1024
-1024 × -2 = 2048 1024 × 2 = 2048
Thus, the number of times Ivan and Adeline have the same number written on the board is 6.
