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3 years ago

Write the next three terms of the geometric sequence.

Mathematics

1 answer:

Sati [7]3 years ago

8 0

Answer:

5, 1, 0.2

Step-by-step explanation:

Divide the number by 5 to get the next one.

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If line AB is parallel to line RS, find the value of x.

kozerog [31]

Answer: 125 degrees

Step-by-step explanation: <MTB and angle x are corresponding therefore congruent (Equal Measure) so the answer would be 125 degrees.

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3 years ago

) Determine the probability that a bit string of length 10 contains exactly 4 or 5 ones.

yanalaym [24]

Answer: 0.4512

Step-by-step explanation:

A bit string is sequence of bits (it only contains 0 and 1).

We assume that the 0 and 1 area equally likely to any place.

i.e. P(0)= P(1)= $\dfrac{1}{2}$

The length of bits : n = 10

Let X = Number of getting ones.

Then , $X \sim Bin(n=10,\ p=\dfrac{1}{2})$

Binomial distribution formula : $P(X=x)=^nC_x p^x q^{n-x}$ , where p= probability of getting success in each event and q= probability of getting failure in each event.

Here , $p=q=\dfrac{1}{2}$

Then ,The probability that a bit string of length 10 contains exactly 4 or 5 ones.

$P(X= 4\ or\ 5)=P(x=4)+P(x=5)\\\\=^{10}C_4(\dfrac{1}{2})^{10}+^{10}C_4(\dfrac{1}{2})^{10}$

$=\dfrac{10!}{4!6!}(\dfrac{1}{2})^{10}+\dfrac{10!}{5!5!}(\dfrac{1}{2})^{10}$

$=(\dfrac{1}{2})^{10}(\dfrac{10!}{4!6!}+\dfrac{10!}{5!5!})$

$=(\dfrac{1}{2})^{10}(210+252)$

$=(0.0009765625)(462)$

$=0.451171875\approx0.4512$

Hence, the probability that a bit string of length 10 contains exactly 4 or 5 ones is 0.4512.

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4 years ago

Of the 101 times I squirte with Dad with a hose last summer, the number of times I missed is 31 more than the number of times I

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3 years ago

The cost of a new television is $948. If the value of the television decreased by 4.5% every year which function modelsthevalue

Vadim26 [7]

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