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2 years ago

Out of every 40 pens, 5 pens are discarded. What percent of the pens are not discarded?

Mathematics

1 answer:

Gwar [14]2 years ago

3 0

87.5 percent

Reason: 40/40-5/40 is 35/40. Divide 35/40 and you get 0.875. Multiply by a hundred and you get 87.5%

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Of 10<br> Find the gradient of the line segment between the points (2,-2) and (0,-6).

Veseljchak [2.6K]

Answer:

<h3>The answer is 2</h3>

Step-by-step explanation:

The gradient of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

From the question we have

$m = \frac{ - 6 - - 2}{0 - 2} = \frac{ - 6 + 2}{ - 2} = \frac{ - 4}{ - 2} = 2 \\$

We have the final answer as

Hope this helps you

6 0

2 years ago

Evaluate using <br> Definite integrals

swat32

Since $[0,4]=[0,1]\cup(1,4]$ , we can rewrite the integral as

$\displaystyle \int_0^1f(t)\;dt + \int_1^4 f(t)\; dt$

Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:

$\displaystyle \int_0^1f(t)\;dt = \int_0^11-3t^2\;dt,\quad \int_1^4 f(t)\; dt = \int_1^4 2t\; dt$

Both integrals are quite immediate: you only need to use the power rule

$\displaystyle \int x^n\;dx=\dfrac{x^{n+1}}{n+1}$

to get

$\displaystyle \int_0^11-3t^2\;dt = \left[t-t^3\right]_0^1,\quad \int_1^4 2t\; dt = \left[t^2\right]_1^4$

Now we only need to evaluate the antiderivatives:

$\left[t-t^3\right]_0^1 = 1-1^3=0,\quad \left[t^2\right]_1^4 = 4^2-1^2=15$

So, the final answer is 15.

4 0

3 years ago

Khan Acad

alexandr402 [8]

Answer:

7.222 (repeating)

Step-by-step explanation:

8 + 10 + 8 + 5 + 4 + 7 + 5 + 10 + 8 = 65

1 2 3 4 5 6 7 8 9

65 / 9 = 7.222 (repeating)

6 0

2 years ago

Kellie has 3/5 hour left to finish 6 math problems on the test how much time does she have to spend on each problem

seropon [69]

Answer:

6 minutes

Step-by-step explanation:

There are 60 minutes in an hour. This can be broken up into 5 12-minute intervals. From there, you can do 3 intervals of 12 minutes which is 36 minutes. The 36 minutes is divisible by 6 questions getting to 6 minutes per question.

8 0

2 years ago

What is the relative frequency of male passengers?

Over [174]

A. 0.15 Because its making me type twenty characters.

3 0

3 years ago

Read 2 more answers