The number of nails of a given length is norm ally distributed with a mean length of 5.00 in, and a standard deviation of 0.03 i
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Answer:
The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is
Step-by-step explanation:
Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.
To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?
Solution :
First we find probability one by one,
1) Flips a coin - Head, Tail
Total number of outcome = 2
Favorable outcome (getting a tail) = 1
Probability that the coin will show tails is
2) Spins the spinner - yellow, green, blue
Total number of outcome = 3
Favorable outcome (land on yellow or green) = 2
Probability that the spinner will land on yellow or green
3) Rolls a standard number cube - 1,2,3,4,5,6
Total number of outcome = 6
Favorable outcome (show a three) = 1
Probability that the cube will show a three
The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is
Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is
Given :7x+6=5(x+2)
Now We will use the distributive property to multiply 5 by x+2.
→7x+6=5x+10
We will Subtract 5x from both sides.
→7x+6−5x=10
We will Combine 7x and −5x to get 2x.
→2x+6=10
We will Subtract 6 from both sides.
2x=10−6
We will Subtract 6 from 10 to get 4.
2x=4
We will Divide both sides by 2.
x= 4/2
At last,We Divide 4 by 2 to get 2.
x=2
