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3 years ago

Can someone help me please

Mathematics

1 answer:

disa [49]3 years ago

3 0

Answer:

We're told that the chance of landing heads is 2/7, which means that the chance of landing a tail is 5/7.

The chance of rolling each combination then is:

h, h: (2/7) * (2/7) = 4/49

h, t: (2/7) * (5/7) = 10/49

t, h: (5/7) * (2/7) = 10/49

t, t: (5/7) * (5/7) = 25/49

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Find the 110th term for the following sequence 4, 9, 14, 19, 24,..

Vinil7 [7]

Answer:

549

Step-by-step explanation:

Given :-

A sequence 4 , 9 , 14 , ...

And we need to find out the 110th term . the given sequence is in Arithmetic progression . So the common difference is 9 -4 = 5 . Now using the formula to find out the nth term of AP ,

Using formula :-

$:\implies$ T_n = a + ( n -1)d

$:\implies$ T_n = 4 + (110-1)5

$:\implies$ T_110 = 4 + 109*5

$:\implies$ T_110 = 4 + 545

$:\implies$ T_110 = 549 .

Hence the 110 th term is 549 .

3 0

3 years ago

write an exponential formula of the form f (t)= a×b^t to represent the following situation. assume t is in years. The beginning

nika2105 [10]

Answer:

$f(t)= 27000 * 0.965^t$

Step-by-step explanation:

Given

$a = 27000$ -- initial

$r = 3.5\%$

Required

The exponential equation

The exponential equation is

$y =ab^t$

Where

$b=1 -r$

We used minus, because the rate decreases..

So, we have:

$b=1 -3.5\%$

$b=1 -0.035$

$b=0.965$

So:

$y =ab^t$

$y = 27000 * 0.965^t$

Hence:

$f(t)= 27000 * 0.965^t$

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3 years ago

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KiRa [710]

Answer:

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Step-by-step explanation:

Represent the total number of seats by t. Then:

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3 years ago

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dedylja [7]

Answer:

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Step-by-step explanation:

Since these two linear equations have different slopes, different y-intercepts, and are indeed linear, these equations will only have one crossing when graphed, and hence one solution.

To find that solution, we can simply set the equations equal to each other.

y = -x + 1

y = 2x + 4

-x + 1 = 2x + 4

-3 = 3x

-1 = x

Now plug that value back into one of the equations:

y = -x + 1

y = -(-1) + 1

y = 2

So now you know the crossing for these two equations occurs at (-1,2).

Cheers.

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