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Serhud [2]
3 years ago
8

If 30% of students failed their last test, and there were 40 students that took the test, how many students failed?

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Answer:

12.

Step-by-step explanation:

30% of 40 is 12. To calculate x% of a number y, we use the following rule: x% of y = (x / 100) × y.

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Jermaine wants to know how fast he is traveling in a school bus, but he cannot see the speedometer. He records that the bus trav
Advocard [28]
<h3>Answer:</h3>

48 mph

<h3>Explanation:</h3>

The rate in miles per second can be converted to the rate in miles per hour by multiplying by the number of seconds in an hour:

\dfrac{1\,mi}{75\,s}\cdot\dfrac{3600\,s}{1\,h}=\dfrac{3600\,mi}{75\,h}=48\,mi/h

8 0
3 years ago
To find out how fast a tree grows, you can measure its trunk. A giant red oak's diameter was 248 inches in 1965. The tree's diam
professor190 [17]
Any times you see the phrase: "Rate of Change", or even sometimes just the word "Rate" think slope. 

The word slope is just a fancy word that means the rate of change. 

Rate of Change is just a fancy phrase meaning how much does something change over some amount of time. 
So in this case our rate of change will have the units of inches per year. 

Let's get to the problem at hand! 
We'll need to find slope / the rate of change (the two are interchangeable with each other).
Let's go over the formula for slope:

m = (y2 - y1) / (x2 - x1) 

First we will need to label each of the "coordinated points (the two numbers that go together in a pair)" with either (x1,y1) or (x2,y2). 

A Giant Red Oak's diameter in 1965 was 248 inches. Keep in mind time is ALWAYS going to be X in rate of change problems (and most all problems for that matter).  

(1965,248) 
(X1,Y2)

(2005,251)
(X2,Y2)

Plug in the values into the equation!
m = (y2 - y1) / (x2 - x1)
m = (251 - 248) / (2005 - 1965) 
m = (3) / (40)

Type that into a calculator to get a decimal value over 1.
m = 0.075 inches per 1 year. 
Or... 

m = 0.075in / 1 year
8 0
4 years ago
A box that has a width of 32 inches and a length of 60 inches is used to ship
Kisachek [45]
D.68

A squared plus b squared equals c squared and so add the two lengths given and square them which gives you the hypotenuse squared so then find the square root of your result which is 68
6 0
3 years ago
The following table presents the time taken to review articles that were submitted for publication to a particular journal durin
belka [17]

A) Variance = 10.24

B) Standard Deviation = 3.2

One of the measurements of dispersion is the standard deviation, which is exclusively used for quantitative data. It aids in determining if the data's mean is a suitable measurement to reflect the core value.

TIME         FREQUENCY(f)  MIDPOINT(x)    d    d²     fd              fd²

0 - 0.9         43                          0.45             -3     9     -129            387

1.0 - 1.9         17                           1.45              -2    4     -34                68

2.0 - 2.9       19                            2.45             -1     1       -19               19

3.0 - 3.9        18                            3.45             0     0       0                  0

4.0 - 4.9        14                            4.45              1      1        14               14

5.0 -5.9         16                            5.45              2     4        32             64                            

∑f = 127                                                              

∑fd = -136  

∑fd² = 552

d = \frac{x - 3.45}{1}

Standard Deviation = \sqrt \frac{fd^{2} }{N} - \sqrt \frac{(fd)^{2} }{N} * i

\sqrt \frac{552}{127} -\sqrt (\frac{-136}{127})^{2}   * 1

√4.35 - √1.15

Standard Deviation = 3.2

(SD)² = (3.2)² = 10.24

Variance = 10.24

To know more about standard deviation, refer to this link :

brainly.com/question/12402189

#SPJ1

7 0
1 year ago
Fifteen girls left a mixed group of boys and girls. There remained two boys for each girl. After this, 45 boys leave the group,
statuscvo [17]
Sorry i cant answer this way too hard for me
5 0
3 years ago
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