Answer:
11 cm
Step-by-step explanation:
Given:
Length of new pencil = 19 cm
Length of pencil after using a month = 8 cm
Question asked:
The pencil is centimeters shorter now than when it was new = ?
Solution:
Length of new pencil = 19 cm
Length of pencil after using a month = 8 cm
The pencil is centimeters shorter now than when it was new = 19 cm - 8 cm
= 11 cm
Length of pencil has been used during a month = 11 cm
Answer: 56 roses and 40 carnations are needed.
Step-by-step explanation: <u>Here’s the table of ratios that’ll help you find how many roses and carnations are needed to make a total of 96 flowers for table decorations:</u>
7:5 /14:10 /21:15 /28:20 /35:25 /42:30 /49:35/ 56:40/
*56 + 40 = 96
Hence, 56 roses and 40 carnations are needed if 96 flowers are needed for table decorations.
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Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3
<u>Solution:</u>
We have been given two equations which are as follows:
3x - 4y = -24 ----- eqn 1
x + 4y = 8 -------- eqn 2
We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.
We rearrange eqn 2 as follows:
x + 4y = 8
x = 8 - 4y ------eqn 3
Now we substitute eqn 3 in eqn 1 as follows:
3(8 - 4y) -4y = -24
24 - 12y - 4y = -24
-16y = -48
y = 3
Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:
x = 8 - 4(3)
x = 8 - 12 = -4
Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.
C. 84
12 x 8 is the area of the whole thing but you subtract 12 because of the missing 6x2 part of the square
Answer:
The probability of 1 error in a period of 0ne - half minute is 0.1494
Step-by-step explanation:
Formula for poisson distribution:
If there is an average of 1 error in 10 seconds
In one-half minutes (i.e. 30 seconds), there will be an average of 30/10 errors = 3 errors
1! = 1
P(X = 1) = 3 * 0.0498
P(X = 1) = 0.01494
