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3 years ago

Which two fractions name point R on the number line?

Mathematics

1 answer:

3241004551 [841]3 years ago

4 0

Answer:

The answer is D.) 6/8 and 3/4

Step-by-step explanation:

If you count how many lines there are you get 8 lines so we know the denominator has to be eight and since the point is on the 6th line the first one is 6/8 and since you can simplify it you get 3/4 which gives you D.)

Hope I helped

A brainliest is always appreciated

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There is a spinner with 12 equal areas numbered one through 12 if the spinner is spun one time what is the probability that the

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12 x12 multiply by 4 or 6 and get 72 and 48

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3 years ago

What is the equation of the line shown in the graph? Write the equation in standard form?

kumpel [21]

The line is completely horizontal. Every point on this line has a y coordinate of -3. The x value is allowed to be anything you want. In this case x = -2 and x = 3 is shown for the two points.

Since y is fixed to always being -3, this means y = -3 is the equation. If you want it to fit standard form then you can write it as 0x+1y = -3

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3 years ago

Find the area of the shape.

snow_tiger [21]

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3 years ago

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Assume that X is a binomial random variable with n = 27 and p = 0.90. Calculate the following probabilities. (Do not round inter

Yuki888 [10]

Answer:

a) $P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

b) $P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

c) $P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

$P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

$P(X=27) = 27C27 (0.9)^{27} (1-0.9)^{27-27}= 0.0582$

And addind the values we got:

$P(X\geq 25)= P(X=25)+P(X=26)+P(X=27)=0.2520+0.1744+0.0582=0.4846$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=27, p=0.9)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

We want this probability:

$P(X=26)$

And we can use the probability mass function and we got:

$P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

Part b

We want this probability:

$P(X=25)$

And we can use the probability mass function and we got:

$P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

Part c

We want this probability:

$P(X\geq 25)= P(X=25)+P(X=26)+P(X=27)$

And we can use the probability mass function and we got:

$P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

$P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

$P(X=27) = 27C27 (0.9)^{27} (1-0.9)^{27-27}= 0.0582$

And addind the values we got:

$P(X\geq 25)= P(X=25)+P(X=26)+P(X=27)=0.2520+0.1744+0.0582=0.4846$

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3 years ago

Which is the factorization of 8x2 13x – 6? (8x – 3)(x 2) (x – 6)(8x 1) (2x – 2)(4x 3) (4x – 1)(2x 6)

vagabundo [1.1K]

we have

$8x^2+13x - 6$

Equate the function to zero

$8x^2+13x - 6=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$8x^2+13x = 6$

Factor the leading coefficient

$8(x^2+\frac{13}{8}x) = 6$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$8(x^2+\frac{13}{8}x) = 6$

$8(x^2+\frac{13}{8}x+\frac{169}{256}) = 6 +\frac{169}{32} \\ \\ 8(x+\frac{13}{16} )^{2} =\frac{361}{32} \\ \\ (x+\frac{13}{16} )^{2} =\frac{361}{256}\\ \\ (x+\frac{13}{16} ) =(+/-)\sqrt{\frac{361}{256}} \\ \\ (x+\frac{13}{16} ) =(+/-)\frac{19}{16} \\ \\ x1=-\frac{13}{16} +\frac{19}{16} =\frac{6}{16}\\ \\ x2=-\frac{13}{16} -\frac{19}{16}=-2$

the factorization is equal to

$8*(x-\frac{6}{16} )*(x+2)=(8x-3)*(x+2)$

therefore

<u>the answer is</u>

$(8x-3)*(x+2)$

3 0

3 years ago

Read 2 more answers