Answer:
infinitely many
Step-by-step explanation:
You have the system
(1/2)x + 5y = 6
3x + 30y = 36
Multiplying the first equation by 6 results in 3x + 30y = 36, which is exactly the same as the second equation. The two graphs coincide, and so there are infinitely many solutions to this system
Answer:18 minutes
Step-by-step explanation:
You have to subtract the numbers from the end from each other and u get the range wh i.c h is18
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
Mean of students' age = 24 years
Standard deviation of students' age = 3 years
Sample size = number of students = 350
So, according to options,
a. The shape of the sampling distribution is approximately normal.
It is true as n >30, we will use normal.
b. The mean of the sampling distribution is approximately 24-years old.
It is true as it is given.
c. The standard deviation of the sampling distribution is equal to 5 years.
It is not true as it is given 3 years.
Hence, Option 'c' is correct.
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.
Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.
Multiply 513 with 6 first.
513
x46
--------------------------
18 (as 6*3 = 18)
60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)
Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.
Check: If we check the multiplication result by using the calculator, we would get the same result (23598).
Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
