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schepotkina [342]
2 years ago
6

What is 12x-4y= -8 written in slope-intercept form? Oy=3x+2 y=3x-2 Oy=12x-8 y=-12x-8

Mathematics
1 answer:
Anettt [7]2 years ago
7 0
The correct answer is y=3x+2
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Order the numbers in the list from least to greatest V49, 6.8, 2, V3, 1.58​
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3 years ago
Please Help!!! i need it... :(
Gennadij [26K]
I hope this helps! It’s been a while since I’ve done slope-intercept though, so I might be a little rusty

4 0
2 years ago
Read 2 more answers
) 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
4 years ago
What are the roots of the polynomial equation x^3 -6x=3x^2-8? Use a graphing calculator and a system of equations.
KIM [24]

Answer:

-4,1,3

Step-by-step explanation:

Because they all fit

8 0
3 years ago
Read 2 more answers
$1100 at 8%, for 15 years, compounded annually.
ololo11 [35]

Answer:

$3489.39

Step-by-step explanation:

This question is an example of compound interest. To work this out you would first have to convert the percentage of 8% into a decimal. To do this you would divide the percentage of 8 by 100, which gives you 0.08. You would divide the percentage by 100 as percentages of a whole amount are out of 100.

The next step is to add 1 to 0.08, which gives you 1.08. This is because the question is asking to increase the amount by 8% and that as 1 is the whole amount, this means that 1.08 is 8% more than the whole amount.

Then to work out how much there will be after 15 years you would multiply the amount of 1100 by 1.08 to the power of 15, which gives you 3489.39. This is because to work out 8% would only work it out for one year however for compound interest you would need to work out 8% extra and then the next year work out the 8% of the new total.

1) Divide 8 by 100.

8/100=0.08

2) Add 1 to 0.08.

1+0.08=1.08

3) Multiply 1100 by 1.08 to the power of 15.

1100*1.08^{15} =3489.39

3 0
3 years ago
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