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3 years ago

Solve for x using the property of bisected diagonals CN=20 ln=6x-2

Mathematics

2 answers:

kari74 [83]3 years ago

6 0

Answer:

Step-by-step explanation:

abc

diamong [38]3 years ago

5 0

<h3>Answer: x=7</h3>

Step-by-step explanation:

Since the diagonals of the parallelogram divide each other in half then:

$\sf LC=NC=20 \ \Longrightarrow LN=2NC=20\cdot 2=40 \\\\ LN=6x-2=40 \\\\6x-2=40 \\\\ 6x=42 \\\\ \boldsymbol {\sf x=7}$

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Delicious77 [7]

Answer:

$P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)$

And using the probability mass function we got:

$P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205$

$P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117$

$P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439$

$P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098$

$P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977$

And adding the values we got:

$P(X\geq 6) = 0.377$

The best answer would be:

D. 0.377

Step-by-step explanation:

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

$X \sim Binom(n=10, p=0.5)$

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:

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

For this case in order to pass he needs to answer at leat 6 questions and we can rewrite this:

$P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)$

And using the probability mass function we got:

$P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205$

$P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117$

$P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439$

$P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098$

$P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977$

And adding the values we got:

$P(X\geq 6) = 0.377$

The best answer would be:

D. 0.377

8 0

3 years ago

What is the sale price if a down comforter was originally priced to sell at $280 and was reduced by 65%?

Lostsunrise [7]

Answer:

Step-by-step explanation:

100-65=35

Turn 35 into a percent then a decimal, later multiply it by 280

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3 years ago

Find the x-values for which f(x) = g(x)<br> if you know that f(x) = x2 and g(x) = 2x.

il63 [147K]

For this case we have the following functions:

$f (x) = x ^ 2\\g (x) = 2x$

If we want $f (x) = g (x)$ then:

$x ^ 2 = 2x\\x ^ 2-2x = 0$

We take common factor x:

$x (x-2) = 0$

Thus, the values of x that make equality equal are:

$x_ {1} = 0\\x_ {2} = 2$

Thus, the values of x for which $f (x) = g (x)$ are 0 and 2.

ANswer:

The values of x for which $f (x) = g (x)$ are 0 and 2.

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3 years ago