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WARRIOR [948]
2 years ago
11

30% of the students in a class score an A on the last test. There are 50 students in the class. How many students scores an A on

the test?​
Mathematics
1 answer:
JulijaS [17]2 years ago
4 0
<h3>Answer:</h3>

15

<h3>Step-by-step explanation:</h3>

Percentages represent a proportion of a number. There are 2 ways to find a percent of a whole number.

Multiple of 10

Since 30% is a multiple of 10%, there is a shortcut we can use. We can find 10% and then multiply by 3 in order to find 30%. First, find 10% of 50. Like always, 10% of any number is that number divided by 10 (move the decimal 1 place to the left).

  • 50/5 = 10

So, 10% of 50 is 5.0.

Then, to find 30%, multiply 5 by 3.

  • 5*3 = 15

30% of 50 is 15.

Multiplication

The more consistent method includes multiplication, this can be used with any percentage. To use this method we need to convert 30% to a decimal. To convert any percentage to a decimal divide by 100 (move the decimal 2 places to the left).

  • 30% / 100 = 0.30

Now, we can multiply this decimal by the whole number, 50. This will give us our desired answer.

  • 0.30*50 = 15

So, this once again shows that 30% of 50 is 15.

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Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.
dezoksy [38]

Answer:

The equation in the slope-intercept form will be:

y=-\frac{5}{4}x+1

Step-by-step explanation:

Given

  • slope = m = -5/4
  • point = (8, -9)

As we know that the equation of a line in point-slope form is

y-y_1=m\left(x-x_1\right)

substituting the values m = -5/4 and point = (8, -9)

y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)

y+9=\frac{-5}{4}\left(x-8\right)

Writing the equation in slope-intercept form

y=mx+b

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

y+9=\frac{-5}{4}\left(x-8\right)

subtract 9 from both sides

y+9-9=\frac{-5}{4}\left(x-8\right)-9

y=-\frac{5}{4}x+1

Therefore, the equation in the slope-intercept form will be:

y=-\frac{5}{4}x+1

7 0
3 years ago
Please explain i will mark brainliesttt!
Sati [7]

Answer:

<em>Answer is </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

given \: the \: line \: n \: passes \: through \\  \: ( - 3, - 7.5) \:  \: and(2, - 5) \\ the \: equation \: of \: the \: line \: is \\  \frac{y - y1}{y2 - y1}  =  \frac{x - x1}{x2 - x1}  \\ here \: x1 =  - 3 \:  \:  \: y1 =  - 7.5 \\ and \:  \: x2 = 2 \:  \:  \: y2 =  - 5 \\  \frac{y - ( - 7.5)}{ - 5 - ( - 7.5)}  =  \frac{x - ( - 3)}{2 - ( - 3)}  \\  \frac{y + 7.5}{ - 5 + 7.5}  =  \frac{x + 3}{2 + 3}  \\  \frac{y + 7.5}{2.5}  =  \frac{x + 3}{5}  \\ dividing \: by \: 5 \: on \: both \: side s\\  \frac{y + 7.5}{0.5}  =  \frac{x + 3}{1}  \\ 0.5(x + 3) = y + 7.5 \\ 0.5x + 1.5 = y + 7.5 \\ 0.5x - y - 6 = 0 \\ is \: the \: required \: equation.

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

5 0
3 years ago
PLEASE HELP ME IF YOU CAN! please tell me how you got the answer thank you!
Temka [501]
3sqrt(2)

You can either use Pythagorean theorem or special triangle proportions to find the side that is parallel to z. Since in a 45-45-90 degree triangle, the hypotenuse is the leg times the square root of 2, and the hypotenuse is 3, we know that the leg is 3/sqrt(2) which is equal to 3 sqrt(2) / 2. Since z is twice this length, we know that z is equal to 2 x 3sqrt(2)/2 = 3sqrt(2)
3 0
3 years ago
In a simple regression analysis for a given data set, if the null hypothesis β = 0 is rejected, then the null hypothesis ρ = 0 i
kati45 [8]

Answer:

Null hypothesis: \rho =0

Alternative hypothesis: \rho \neq 0

The statistic to check the hypothesis is given by:

t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: \rho =0

Alternative hypothesis: \rho \neq 0

The statistic to check the hypothesis is given by:

t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

4 0
3 years ago
For the given points a(-4 6) and b(6 -4) find the slope of a line through points A and B
kap26 [50]

Answer:

the required slope of the points is -1...

3 0
3 years ago
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