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3 years ago

In an examination, 200 students out of 500, obtained first division. What percentage of student got first division

Mathematics

1 answer:

musickatia [10]3 years ago

5 0

Answer: 40%

Step-by-step explanation:

200 out of 500

200/500 or 2/5

1/5 is the same as 20%

Times by 2 you get 40%

2/5 = 40%

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Enter the median of the following dataset 7,15,12,13,8,11

Leni [432]

The median is the value that is in the middle of a dataset.

The first step to find the median is to order the values from least to greatest:

7, 8, 11, 12, 13, 15.

Since the number of data is even, the median will be the average of the pair of values that is in the middle, in this case, 11 and 12:

$\frac{11+12}{2}=11.5$

The median of the data set is 11.5.

8 0

1 year ago

Which equation shows the result of 42 divided by 15?

KatRina [158]

Answer:

42=2×15+12

Step-by-step explanation:

2×15=30

therefore 30+12=42

5 0

4 years ago

Find the equation of the graphed line.

Tanzania [10]

Answer:

d. y = -⁷/6x - 7

Step-by-step explanation:

✔️First, find the slope (m) using two points on the line, (-6, 0) and (0, -7):

Slope (m) = change in y/change in x

Slope (m) = (-7 - 0)/(0 - (-6))

Slope (m) = -7/6

✔️Determine the y-intercept (b):

The line intercepts the y-axis at -7. Therefore,

b = -7.

✅To write the equation, substitute m = -⁷/6 and b = -7 into y = mx + b

Thus:

y = -⁷/6x + (-7)

y = -⁷/6x - 7

7 0

3 years ago

Find the value of x, round the length to the nearest meter

nirvana33 [79]

ANSWER

405m

EXPLANATION

We know the opposite side of of the right triangle to be 4629m and the given angle is 85°.

Since we want to find the adjacent side which is x units, we use the tangent ratio to obtain,

$\tan(85 \degree) = \frac{opposite}{adjacent}$

$\tan(85 \degree) = \frac{4629}{x}$

Solve for x.

$x = \frac{4629}{\tan(85 \degree)}$

x=404.985

To the nearest meter, x=405m

4 0

4 years ago

Suppose a ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance t

Roman55 [17]

When the ball is first dropped, it falls $h$ feet. On the first bounce, it rebounds $0.81h$ feet, which means on the second "drop" it must travel $0.81h$ feet again. On the second bounce, the ball rebounds $0.81(0.81h)=0.81^2h$ feet, and on the third drop falls the same distance. And so on.

So there are two directions to track:

$\text{downward: }\displaystyle h+0.81h+0.81^2h+\cdots=\sum_{n=0}^\infty 0.81^nh$
$\text{upward: }\displaystyle 0.81h+0.81^2h+\cdots=\sum_{n=1}^\infty 0.81^nh$

The total distance is the sum of these two:

$\displaystyle\sum_{n=0}^\infty 0.81^nh+\sum_{n=1}^\infty 0.81^nh=h+2h\sum_{n=1}^\infty 0.81^n$

Recall that for an infinite geometric sum, you have

$\displaystyle\sum_{n=0}^\infty r^n=1+\sum_{n=1}^\infty r^n=\frac1{1-r}$

provided that $|r|$ . So the total distance traveled by the ball is

$h+2h\left(\dfrac1{1-0.81}-1\right)\approx9.53h$

Starting with a height of $h=16$ means the total distance is about 152.42 ft.

4 0

3 years ago