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3 years ago

3 times 5 with a two on the top

1 answer:

3 0

Ok so it could be
1. $\frac{2}{3 times 5}$
2. 3 timies $\frac{2}{5}$

ok if 1. then
$\frac{2}{3 times 5}$ = $\frac{2}{15}$

if 2. 3 timies $\frac{2}{5}$ = $\frac{6}{5}$

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Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample o

White raven [17]

Answer:

probability = 2/3

Step-by-step explanation:

given data

population with 3 observations = 6, 10 and 12

solution

Sample space of select 2 number without a replacement will be as

Sample space = {(6,10),(6,12),(10,12)}

so here in two cases is = (6,12),(10,12)

that is mean is greater than or equal to 9 (9 and 11 respectively)

so we can say probability is = 2/3

probability = 2/3

5 0

4 years ago

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Alisiya [41]

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3 years ago

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Find the equation of the tangent line to the curve at the given point?

Over [174]

Answer:

The equation of the tangent line

$y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )$

Step-by-step explanation:

Step(i):-

Given function y = x cot (x) ....(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = x (-Co sec^{2} (x)) +cot(x) (1)$

Step(ii):-

The slope of the tangent line

$\frac{d y}{d x} = -x Co-sec^{2} (x) +cot x$

$(\frac{d y}{d x} )x_{=\frac{\pi }{4} } = -\frac{\pi }{4} Co-sec^{2} (\frac{\pi }{4} ) +cot \frac{\pi }{4}$

We will use trigonometry formulas

$Cosec(\frac{\pi }{4} ) = \sqrt{2}$

$sec(\frac{\pi }{4} ) = \sqrt{2}$

$Cot(\frac{\pi }{4} ) = 1$

Now the slope of the tangent

$\frac{dy}{dx} =-\frac{\pi }{4} (\sqrt{2})^{2} )+1$

$\frac{dy}{dx} =-\frac{\pi }{2} +1$

Step(iii):-

Given

Substitute $x=\frac{\pi }{4}$ in y = x cot (x)

$y = \frac{\pi }{4} cot (\frac{\pi }{4} )$

$y = \frac{\pi }{4}$

The point of the tangent line $(x ,y ) = (\frac{\pi }{4} , \frac{\pi }{4} )$

The equation of the tangent line

$y - y_{1} = m ( x - x_{1} )$

$y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )$

6 0

4 years ago

What is the least positive integer by which 24 should be divided so that the resulting integer is a perfect square?

Daniel [21]

Answer: divide by 6?

Step-by-step explanation:

What is the least positive integer by which 24 should be divided so that the resulting integer is a perfect square?

If we actually guess and check by dividing by 1, then 2, then 3, then etc. we will get the answer. I tried and divided by 6, which is 4, which is a perfect square. Do not trust me completely on this, for I am not quite sure.

7 0

2 years ago

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nadezda [96]

Answer:

12x⁴ - 15x³ + 18x²

Step-by-step explanation:

1. distribute -3x²

-3x² • 5x = -15x³

-3x² • -4x² = 12x⁴

-3x² • -6 = 18x²

2. combine terms and put in descending order (standard form)

12x⁴ - 15x³ + 18x²

7 0

4 years ago

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