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3 years ago

On a test, 74% of the questions are answered correctly. If 111 questions are correct, how many questions are on the test?

Mathematics

2 answers:

Mashcka [7]3 years ago

5 0

Answer:

150

Step-by-step explanation:

You have to divide the correct answers (111) by the total amount of questions (x) in order to find the 74% (0.74)

Phantasy [73]3 years ago

5 0

Answer: there are 150 questions in the test.

Step-by-step explanation:

Let x represent the total number of questions in the test.

On a test, 74% of the questions are answered correctly. This means that the number of questions that were answered correctly is

74/100 × x = 0.74 × x = 0.74x

If 111 questions are correct, it means that

0.74x = 111

Dividing the left hand side and the right hand side of the equation by 0.74, it becomes

0.74x/0.74 = 111/0.74

x = 150

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Step-by-step explanation:

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2 years ago

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3 years ago

Suppose you have a light bulb that emits 50 watts of visible light. (Note: This is not the case for a standard 50-watt light bul

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Answer:

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Step-by-step explanation:

The apparent brightness of a star is

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d = distance in ly (light-years)

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Hence the apparent brightness of Alpha Centauri A is

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According to the inverse square law for light intensity

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where

$\bf I_1=$ light intensity at distance $\bf d_1$

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Let $\bf d_2$ be the distance we would have to place the 50-watt bulb, then replacing in the formula

$\bf \displaystyle\frac{0.006329728}{50}=\displaystyle\frac{d_2^2}{(4.37)^2}\Rightarrow\\\\\Rightarrow d_2^2=\displaystyle\frac{0.006329728*(4.37)^2}{50}\Rightarrow d_2^2=0.002417564\Rightarrow\\\\\Rightarrow d_2=\sqrt{0.002417564}=\boxed{0.049168726\;ly}$

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3 years ago

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brilliants [131]

Answer:

f) None of the above.

Step-by-step explanation:

When we try to adjust a curve from a scatter plot to try and predict values of the dependent variable y given known values of the independent variable x.

The curve is a function y=f(x) which usually is a line, a logarithmic, parabola, power or exponential.

In order to choose which curve adjust the best, we compute a number r called correlation coefficient.

The closer r is to -1 or +1, the better the curve adjust the scatter plot.

When r =0, we say there is no correlation between the points x and y

When -1<r<0 we say there is a negative correlation, this means that the values of y decrease as the values of x increase.

When 0<r<1 we say there is a positive correlation, this means that the values of y increase as the values of x increase.

When r =1 or r =-1, we say that there is a perfect correlation. It means that all of the points of the scatter plot lie on the curve.

So, from the possible choices of answer, f) None of the above is the right one.

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3 years ago