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3 years ago

120 is what percent of 60

1 answer:

8 0

To solve this problem lets assume, that the number 60 is 100% - because it's the output value of the task. We assume, that x is the value we are looking for. If 100% equals 60, so we can write it down as 100%=60. We know, that x% equals 120 of the output value, so we can write it down as x%=120. Now we have two simple equations:
1)100%=60
2) x%=120
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that: 100%/x%=60/120.
Now we just have to solve the simple equation, and we will get the solution we are looking for.

Solution for 120 is what percent of 60

100%/x%=60/120
(100/x)*x=(60/120)*x - we multiply both sides of the equation by x
100=0.5*x - we divide both sides of the equation by (0.5) to get x
100/0.5=x 
200=x 
x=200

now we have: 
120 is 200% of 60

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3 years ago

A researcher determines that students are active about 60 + 12 (M + SD) minutes per day. Assuming these data are normally distri

rjkz [21]

Answer:

The correct option is (b).

Step-by-step explanation:

If X $\sim$ N (µ, σ²), then $Z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z $\sim$ N (0, 1).

The distribution of these z-variate is known as the standard normal distribution.

The mean and standard deviation of the active minutes of students is:

μ = 60 minutes

σ = 12 minutes

Compute the z-score for the student being active 48 minutes as follows:

$Z=\frac{X-\mu}{\sigma}=\frac{48-60}{12}=\frac{-12}{12}=-1.0$

Thus, the z-score for the student being active 48 minutes is -1.0.

The correct option is (b).

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3 years ago

How can you tell Is something is a unit rate

ArbitrLikvidat [17]

Unit rate is a ratio between two different units with a denominator of one. When we divide a fraction's numerator by its denominator, the result is a value in decimal form. For example: 8/4 = 2 and 3/6 = 0.5. When we write numbers in decimal form, we can write them as a ratio with one as the denominator.

For example, we can write 2 as 2/1, and 0.5 as 0.5/1. However, since that approach can be a little clumsy, we usually drop the one. That said, it's important to remember the one is there, especially when working with unit rates.

For instance, 8 miles/4 hours = 2 miles/hour. Notice again that, while we did not include the 1, we did include the unit 'hour' Miles per hour is a familiar expression, as are unit rates such as:

interest/amount invested

revolutions/minute

salary/year

Conversationally, the word ''per'' indicates we are using a unit rate.

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4 years ago

Find the x- and y-intercepts of the graph of 10x+2y=20 State each answer as an integer or an improper fraction in simplest form.

Deffense [45]

Answer:

Slope: $\frac{10.000}{2.000} = -5.000$
x - intercept: $\frac{10}{5} = 2$ .
y intercept: $\frac{10}{1} = 10.00000$ .

Step-by-step explanation:

Simplify:

Simplify the equation by subtracting what is to the right of the equal sign from both sides of the equation:
10*x+2*y-(20)=0.

Step 1:

Pull out like factors:
10x + 2y - 20 = 2 * (5x + y - 10)

Step 2:

Equations which are never true:
Solve:
2 = 0
This can't be solved.
A non-zero constant never equals 0.
Equation of a straight line:
Solve: 5x+y-10 = 0
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula:

y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 5x+y-10 = 0 and calculate its properties
Calculate the y-intercept:
Notice that when x = 0 the value of y is 10/1 so this line "cuts" the y axis at y=10.00000
y-intercept = 10/1 = 10.00000

Calculate the x-intercept:

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 10.000 and for x=2.000, the value of y is -0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.000 - 10.000 = -10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -10.000/2.000 = -5.000

Answers:

Slope = -10.000/2.000 = -5.000
x-intercept = 10/5 = 2
y-intercept = 10/1 = 10.00000

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2 years ago

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Artemon [7]

Answer:

The correct answer is A. A long-term investor, who wishes to hold onto the house for an extended period and rent it out in the meantime.

Step-by-step explanation:

This kind of investment is particularly attractive for long-term investors that are seeking for a predictable and steady return and that are not looking for a short-term big shot. As it is mentioned in the description, for taking full advantage the investor knows in advance that the property will also be rented while it increases its value.

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3 years ago