Answer:28inches & 84inches
First, lets write an equation that fits the data given. The string is 112 inches long. When the two pieces are cut, the first piece will be three times as long as the second piece. If we use the variable, x, to represent the second piece, we can create the following equation...
112=3x+x
Now lets solve for x.
112=4x
divide both sides by 4
28 inches=x
Now we know that the second piece is 28inches long. Since the first piece is three times as long, simply multiply 28*3 and we'll know the length of the first piece.
28*3=84 inches
28+84=112
Answer:
8 units left , 5 units up
Step-by-step explanation:
Answer:
The deepest that Amy dove below the ocean's surface is 5 feet.
Step-by-step explanation:
Let the deepest that Amy dove below the ocean's surface be x.
7x = 35
<u>x = 5 ft</u>
Answer:
The value is
Step-by-step explanation:
From the question we are told that
The population proportion is
The sample size is n = 563
Generally the population mean of the sampling distribution is mathematically represented as
Generally the standard deviation of the sampling distribution is mathematically evaluated as
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Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as
Here is the sample proportion of persons with a college degree.
So
Here
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From the z-table the probability of (Z < 2.37 ) and (Z < -2.37 ) is
and
So
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Angle 3 is equal to angle 5 because of vertical angles.