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2 years ago

Which pair of events are independent of each other?

Mathematics

1 answer:

meriva2 years ago

5 0

Answer:

Step-by-step explanation:

The other 3 pairs are all dependent because you have to take into account when you are choosing a card, ball, or paperclip for a second time, that you already got rid of one of the items, so it is less likely to draw a duplicate.

Sorry if that doesn't make sense lol

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What are the answers?

AveGali [126]

Daniela invested a total of $50,00, some in a certificate of deposit (cd) and the reminder in bonds. The amount invested in bonds was $5000 more than twice the amount she put into cd. How much did she invest in each account ?

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3 years ago

A researcher found that the sea level rose 1 5 of a centimeter in 2 3 of a year. At what rate did the sea level rise? A) 2 5 cen

Ksenya-84 [330]

D) 3/10 per cen. year

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3 years ago

Read 2 more answers

Find the derivative of the following. please show the steps when you answer :1) f(x) = 8xe^x2) y= 5xe^x^43) f(x)= x^8+5/x4) f(t)

borishaifa [10]

Answer:

Since,

$\frac{d}{dx}x^n = nx^{n-1}$

$\frac{d}{dx}(f(x).g(x)) = f(x).\frac{d}{dx}(g(x)) + g(x).\frac{d}{dx}(f(x))$

$\frac{d}{dx}(\frac{f(x)}{g(x)})=\frac{g(x).f'(x) - f(x) g'(x)}{(g(x))^2}$

1) $y = 8x e^x$

Differentiating with respect to x,

$\frac{dy}{dx}=8( x \times e^x + e^x) = 8(xe^x + e^x) = 8e^x(x+1)$

2) $y = 5x e^{x^4}$

Differentiating w. r. t x,

$\frac{dy}{dx}=5(x\times 4x^3 e^{x^4}+e^{x^4})=5e^{x^4}(4x^4+1)$

3) $y = x^8 + \frac{5}{x^4}$

Differentiating w. r. t. x,

$\frac{dy}{dx}=8x^7 - \frac{5}{x^5}\times 4 = 8x^7 - \frac{20}{x^5}=\frac{8x^{12}-20}{x^5}$

4) $f(t) = te^{11}-6t^5$

Differentiating w. r. t. t,

$f'(t) = e^{11} - 30t^4$

5) $g(p) = p\ln(2p+3)$

Differentiating w. r. t. p,

$g'(p) = p\frac{1}{2p+3}(2) + \ln(2p+3) = \frac{2p}{2p+3}+\ln(2p+3)$

6) $z = (te^{6t}+e^{5t})^7$

Differentiating w. r. t. t,

$\frac{dz}{dt}=7(te^{6t}+e^{5t})^6 ( 6te^{6t}+e^{6t} + 5e^{5t})$

7) $w =\frac{2y + y^2}{7+y}$

Differentiating w. r. t. y,

$\frac{dw}{dy} = \frac{(7+y)(2+2y)-(2y+y^2)}{(7+y)^2} = \frac{14 + 2y + 14y +2y^2 - 2y - y^2}{(7+y)^2}=\frac{14+14y+y^2}{(7+y)^2}$

7 0

3 years ago

Divide.

Alexxandr [17]

Answer:

2x³-2x²-3x-14

Hope it helps you

3 0

2 years ago

In a triangle the measure of the first angle is 24 degrees more than the second angle. the measure of the third angle is four ti

Leona [35]

The greatest angle in the given triangle is 104 degrees.

<h3>What is a triangle?</h3>

The polygon with 3 sides, three vertices, and three angles is known as a triangle.
A triangle's overall number of degrees is always 180 degrees.

Given:

Let, the second angle has a measurement of x degrees.
The first angle's measurement is 24 degrees greater than the second angle's measurement.
As a result, the first angle is (24+x) degrees.
The third angle is four times as large as the second.
As a result, the third angle has a measure of 4x.

So,

(24 + x) + x + 4x = 180
6x = 124 - 48
6x = 156
x = 156/6
x = 26

As a result, the second angle has a measurement of 26 degrees.

The first angle's measurement is now 24 degrees greater than the second angle's measurement.

Now,

= 24 + 26
= 50

As a result, the first angle has a measure of 50 degrees.

The third angle is now four times the size of the second angle.

So,

4 × 26 = 104

Therefore, the greatest angle in the given triangle is 104 degrees.

Know more about triangles here:

brainly.com/question/17335144

#SPJ4

7 0

2 years ago