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Elden [556K]
2 years ago
7

To amend a country's constitution 7/9 of the 69 states in that country must approve the amendment. If 52 states approve an amend

ment will the constitution be amended
Mathematics
1 answer:
KatRina [158]2 years ago
8 0

Answer:

Constitution will not be amended.

Step-by-step explanation:

To amend the country's constitution, number of states should approve the amendment = \frac{7}{9} of 69

= \frac{7}{9}\times 69

= 53.67

≈ 53 states

But the states who approved the amendment = 52

And 52 < 53

Therefore, constitution will not be amended.

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Step-by-step explanation:

4. b 612 (72/100) x 850)

5. c. 275 (33/100) x 835

6. b. 39% (3.24 - 2.85) x100%)

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2 years ago
22. A parabola equation is given as y = 3(x - 2)^2 + 5. What are the coordinates of the vertex?
sergiy2304 [10]

Answer:

(2, 5)

Step-by-step explanation:

The x coordinate is the number inside the parentheses, but with the opposite sign, 2

The y coordinate is the number at the end

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2 years ago
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When dividing 39100 by 100 the digits in the quotient will move how many places to the right
Shalnov [3]
It will be living two places to the edith hope this helps good luck
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2 years ago
Which property is shown below?
ElenaW [278]

Answer:

C

Step-by-step explanation:

5+2y+3z=5+3z+2yA

Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo.

5+3z+2yA=5+2y+3z

Resta 5 en los dos lados.

3z+2yA=5+2y+3z−5

Resta 5 de 5 para obtener 0.

3z+2yA=2y+3z

Resta 3z en los dos lados.

2yA=2y+3z−3z

Combina 3z y −3z para obtener 0.

2yA=2y

Anula 2 en ambos lados.

yA=y

Divide los dos lados por y.

y

yA

​

=  

y

y

​

 

Al dividir por y, se deshace la multiplicación por y.

A=  

y

y

​

 

Divide y por y.

A=1

​

6 0
2 years ago
A professor pays 25 cents for each blackboard error made in lecture to the student who pointsout the error. In a career ofnyears
marta [7]

Answer:

(a) The probability that <em>Y</em>₂₀ exceeds 1000  is 3.91 × 10⁻⁶.

(b) <em>n</em> = 28.09

Step-by-step explanation:

The random variable <em>Y</em>ₙ is defined as the total numbers of dollars paid in <em>n</em> years.

It is provided that <em>Y</em>ₙ can be approximated by a Gaussian distribution, also known as Normal distribution.

The mean and standard deviation of <em>Y</em>ₙ are:

\mu_{Y_{n}}=40n\\\sigma_{Y_{n}}=\sqrt{100n}

(a)

For <em>n</em> = 20 the mean and standard deviation of <em>Y</em>₂₀ are:

\mu_{Y_{n}}=40n=40\times20=800\\\sigma_{Y_{n}}=\sqrt{100n}=\sqrt{100\times20}=44.72\\

Compute the probability that <em>Y</em>₂₀ exceeds 1000 as follows:

P(Y_{n}>1000)=P(\frac{Y_{n}-\mu_{Y_{n}}}{\sigma_{Y_{n}}}>\frac{1000-800}{44.72})\\=P(Z>  4.47)\\=1-P(Z

**Use a <em>z </em>table for probability.

Thus, the probability that <em>Y</em>₂₀ exceeds 1000  is 3.91 × 10⁻⁶.

(b)

It is provided that P (<em>Y</em>ₙ > 1000) > 0.99.

P(Y_{n}>1000)=0.99\\1-P(Y_{n}

The value of <em>z</em> for which P (Z < z) = 0.01 is 2.33.

Compute the value of <em>n</em> as follows:

z=\frac{Y_{n}-\mu_{Y_{n}}}{\sigma_{Y_{n}}}\\2.33=\frac{1000-40n}{\sqrt{100n}}\\2.33=\frac{100}{\sqrt{n}}-4\sqrt{n}  \\2.33=\frac{100-4n}{\sqrt{n}} \\5.4289=\frac{(100-4n)^{2}}{n}\\5.4289=\frac{10000+16n^{2}-800n}{n}\\5.4289n=10000+16n^{2}-800n\\16n^{2}-805.4289n+10000=0

The last equation is a quadratic equation.

The roots of a quadratic equation are:

n=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}

a = 16

b = -805.4289

c = 10000

On solving the last equation the value of <em>n</em> = 28.09.

8 0
3 years ago
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