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3 years ago

Find the slope of a line parallel to the line given

Mathematics

1 answer:

hram777 [196]3 years ago

5 0

The answer is C hope this helped

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(10 points) Suppose you are rolling a fair die 600 times independently. Let X count the number of sixes that appear. (a) What ty

andrezito [222]

Answer:

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Step-by-step explanation:

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3 years ago

Factorise<br>x2 + 2x - 3

Nitella [24]

Answer:

( x − 1 ) ( x +3 )

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3 years ago

What is the percent 5.89966

Lorico [155]

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3 years ago

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Find the volume of a pyramid with a square base, where the area of the base is

never [62]

Answer:

$V=60.28\ cm^3$

Step-by-step explanation:

Given that,

The area of the base = 13.2 cm²

The height of the pyramid = 13.7 cm

We need to find the volume of this pyramid. The formula can be given by :

$V=\dfrac{1}{3}Bh$

Put all the values,

$V=\dfrac{1}{3}\times 13.2\times 13.7\\\\V=60.28\ cm^3$

So, the volume of the pyramid is equal to $60.28\ cm^3$ .

4 0

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.

3 0

3 years ago