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Lelu [443]
2 years ago
15

Find the value of x.

Mathematics
2 answers:
I am Lyosha [343]2 years ago
8 0
3x+3n=9x here try to figure out this one
RoseWind [281]2 years ago
7 0
Where is the equation?
You might be interested in
The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.
Mama L [17]

Answer:

a) P(Y > 76) = 0.0122

b) i) P(both of them will be more than 76 inches tall) = 0.00015

   ii) P(Y > 76) = 0.0007

Step-by-step explanation:

Given - The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.

To find - (a) If a man is chosen at random from the population, find

                    the probability that he will be more than 76 inches tall.

              (b) If two men are chosen at random from the population, find

                    the probability that

                    (i) both of them will be more than 76 inches tall;

                    (ii) their mean height will be more than 76 inches.

Proof -

a)

P(Y > 76) = P(Y - mean > 76 - mean)

                 = P( \frac{( Y- mean)}{S.D}) > \frac{( 76- mean)}{S.D})

                 = P(Z >  \frac{( 76- mean)}{S.D})

                 = P(Z > \frac{76 - 69.7}{2.8})

                 = P(Z > 2.25)

                 = 1 - P(Z  ≤ 2.25)

                 = 0.0122

⇒P(Y > 76) = 0.0122

b)

(i)

P(both of them will be more than 76 inches tall) = (0.0122)²

                                                                           = 0.00015

⇒P(both of them will be more than 76 inches tall) = 0.00015

(ii)

Given that,

Mean = 69.7,

\frac{S.D}{\sqrt{N} } = 1.979899,

Now,

P(Y > 76) = P(Y - mean > 76 - mean)

                 = P( \frac{( Y- mean)}{\frac{S.D}{\sqrt{N} } })) > \frac{( 76- mean)}{\frac{S.D}{\sqrt{N} } })

                 = P(Z > \frac{( 76- mean)}{\frac{S.D}{\sqrt{N} } })

                 = P(Z > \frac{( 76- 69.7)}{1.979899 }))

                 = P(Z > 3.182)

                 = 1 - P(Z ≤ 3.182)

                 = 0.0007

⇒P(Y > 76) = 0.0007

6 0
3 years ago
The current balance of Amber’s bank account was $8. She withdrew
8_murik_8 [283]

Answer:

$-6

Step-by-step explanation:

$(8-14)

= $-6

Hope this helped!

4 0
3 years ago
Read 2 more answers
What are the real or imaginary solutions of the polynomials x4 -­52x2 + 576 = 0
asambeis [7]
Hello,

Answer B

x^4-52x²+576=0
==>x^4-16x²-36x²+576=0
==>x²(x²-16)-36(x²-16)=0
==>(x²-16)(x²-36)=0
==>(x+4)(x-4)(x+6)(x-6)=0


6 0
3 years ago
6 less than half of r : translate into expression
Sladkaya [172]

Answer:

r/2 -6

Step-by-step explanation:

less than means it comes after

half of r

r/2

6 less than means subtract

r/2 -6

6 0
3 years ago
Which equation represents the line that passes through (–6, 7) and (–3, 6)?
ipn [44]

Answer:

y = \frac{-x}{3} + 5

Step-by-step explanation:

Given A (x₁, y₁) = ( -6, 7) and B (x₂, y₂) = (-3, 6)

Slope of line passing through points ( -6, 7) and  (-3, 6) is:

m = \frac{y_{2} -y_{1}}{x_{2} -x_{1}} =\frac{6 - 7}{-3 + 6} =\frac{-1}{3}

Now, the equation of line in point-slope form:

(y - y₁) = m (x - x₁)

Substituting the value of m and  (x₁, y₁) = ( -6, 7) in above equation,

(y - 7) = \frac{-1}{3}(x - (-6))

(y - 7) = \frac{-1}{3}(x + 6)

3y - 21 = -x - 6

3y = -x - 6 + 21

3y = -x + 15

y = \frac{-x + 15}{3}

y = \frac{-x}{3} + 5

Option B is the correct answer.

6 0
3 years ago
Read 2 more answers
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