The probability in your area that a voter is a republican is 0.35. What is the probability that the first republican you find is the 4th voter in line ?

Answer:

$38.97

Step-by-step explanation:

100% - 10% = 90% = 0.9

$40 × 0.9 = $36

100% + 8.25% = 108.25% = 1.0825

$36 × 1.0825 = $38.97

Answer:

8 1/4 in 3 = 135.193278 milliliters

Step-by-step explanation:

The asset's variance is approximately 0.0358, and its standard deviation is approximately 0.1891.

To calculate the variance and standard deviation of the asset's returns, we'll follow the steps mentioned earlier using the given probability distribution:

⇒ Calculate the expected return (μ):

μ = (0.27 * 0.25) + (0.18 * 0.25+) + (0.10 * 0.30) + (0.04 * 0.20+)

  = 0.0675 + 0.045 + 0.03 + 0.008

  = 0.1505

⇒ Calculate the variance (σ^2):

σ^2 = [(0.27 - μ)^2 * 0.25] + [(0.18 - μ)^2 * 0.25+] + [(0.10 - μ)^2 * 0.30] + [(0.04 - μ)^2 * 0.20+]

Substituting the values and simplifying:

σ^2 = [(0.27 - 0.1505)^2 * 0.25] + [(0.18 - 0.1505)^2 * 0.25+] + [(0.10 - 0.1505)^2 * 0.30] + [(0.04 - 0.1505)^2 * 0.20+]

    = [(0.1195)^2 * 0.25] + [(0.0295)^2 * 0.25+] + [(-0.0505)^2 * 0.30] + [(-0.1105)^2 * 0.20+]

    = 0.017972 + 0.00021617 + 0.0030309025 + 0.01459516

    = 0.0358141325

⇒ Calculate the standard deviation (σ):

σ = √(σ^2)

  = √(0.0358141325)

  ≈ 0.1891

Therefore, the asset's variance is approximately 0.0358 and the standard deviation is approximately 0.1891.

To know more about variance and standard deviation, refer here:

https://brainly.com/question/16686665#

#SPJ11

Answer:

In this case, we can do substitution.

Step-by-step explanation:

For the first one, (s - t)(x) = ((x - 5) - 4x^2)(x) = x^2 - 21x

For the second one, (s*t)(x) = ((x - 5) *4x^2)(x) = 4x^4 - 20x^3

And for the last one,  (s+t)(-2) = ((x - 5) + 4x^2)(-2) = -8x^2 - 2x + 10

Hope your happy with the answer :)

The quotient of the given expressions.

\(Quotient = (9 - x^2) / (x^2 + 6x + 9)\)

Let's first rewrite the given expressions:
Expression 1: (\((9 - x^2) / (3x)\)
Expression 2: \((x^2 + 6x + 9) / (3x)\)
Now, we need to find the quotient of these two expressions.

To do this, we'll divide Expression 1 by Expression 2:
\(Quotient = [(9 - x^2) / (3x)] / [(x^2 + 6x + 9) / (3x)]\)
When dividing fractions, we can multiply by the reciprocal of the second fraction:
\(Quotient = [(9 - x^2) / (3x)] \times  [(3x) / (x^2 + 6x + 9)]\)
Now, we can simplify the expression by canceling out the common terms:
\(Quotient = (9 - x^2) / (x^2 + 6x + 9)\)
This is the quotient of the given expressions.

For similar question on quotient.

https://brainly.com/question/30224866

#SPJ11

To prove ΔABE is congruent to ΔEDA by SSS we need that EAC should be an equilateral triangle.

What is an equilateral triangle?

A triangle is said to be equilateral if each of its three sides is the same length. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

Here, we have

AEC is a triangle in which B∈ AC and D∈ EC

Such that,

∠ABE = 90°,

∠ADE = 90°,

Also, BC = CD

Now, we have to prove that :

Δ ABE is congruent to Δ EDA

Proof :

If EAC is an equilateral triangle,

By the property of an equilateral triangle,

EA = AC = EC

If AC = EC

AB + BC = ED + CD

AB + CD = ED + CD

AB = ED

Also, AE = AE ( common segment )

Now, if in two right triangles hypotenuse are equal and any corresponding legs are equal,

Then, the other legs must be equal,

That is, BE = DA,

Hence, by the SSS postulate of congruence,

Δ ABE ≅ Δ EDA

Hence, to prove ΔABE is congruent to ΔEDA by SSS we need that EAC should be an equilateral triangle.

To learn more about the equilateral triangle from the given link

https://brainly.com/question/15294703

#SPJ4

Answer:

375000 ft^2

Step-by-step explanation:

From the statement that we have that it would be 1 time the length and 2 times the width because one side is not necessary and also we must take into account that it would be divided by 3 equal enclosures therefore we will use 1000 feet (3000/3) so Therefore, the perimeter would be equal to:

1000 = l + 2 * w

we solve for w:

l = 1000 - 2 * w

Also the area is equal to:

A = w * l

replacing:

A = w * (1000 - 2 * w)

A = 1000 * w - 2 * w ^ 2

We derive:

A '= 1000 - 4 * w

Let's equal 0:

1000 - 4 * w = 0

w = 1000/4

w = 250

replacing and we calculate l:

l = 1000 - 2 * 250

l = 500

A = 250 * 500

A = 15,000 ft ^ 2

Which means that for each subdivision the maximum area would be 125000 square feet and the total would be:

125000 * 3 = 375000 ft ^ 2

Answer:

the answer is undefined

Step-by-step explanation:

A computation time expression ~ n, of means that the computation time increases in proportion to the size of the input.

This presents a computational complexity of O(n). Here 'O' stands for 'Big O Notation' and is used to denote an upper bound on the computational complexity of the algorithm.

That's, the algorithm's computational complexity is straightforwardly corresponding to the measure of the input information.

This shows that as the input estimate increments, the computational time will increment at the same rate.

 Linear time complexity is considered to be very efficient, and many algorithms aim to achieve this level of complexity. This is a relatively efficient computational complexity and is common in algorithms that require only one pass through the input data. 

learn more about time complexity

brainly.com/question/28319213

#SPJ4

Answer:

Square root of 27 units

Step-by-step explanation:

the square of hypotenuse is equal to sum of square length of the two legs

if we call the other leg x

x^2 + 3^2 = 6^2

x^2 + 9 = 36

x^2 = 27

Answer:

The answer is the square root of 27 units

Step-by-step explanation:

The method that can be used to write the equation of a line in slope-intercept form given two points is A. Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.

It should be noted that the equation of line passing through two point =  y = mx + b.

Also, b can find out via putting values of x, y, and m in the equation of the line to get y-intercept.

In this case, the slope of the line will be y2 - y1/x2 - x1.

In conclusion, the correct option is A.

Learn more about equations on:

https://brainly.com/question/18764023

#SPJ1

Answer:

\({ \rm{y = - 3x + 5}}\)

Gradient = -3

• Parallel lines have the same gradient, therefore gradient, m is -3

\({ \rm{y = mx + c}}\)

• At point (0, -4)

\({ \rm{ - 4 = ( - 3 \times 0) + c}} \\ \\ { \rm{c = - 4}}\)

y intercept is -4

\({ \boxed{ \boxed{ \mathfrak{answer : }}{ \rm{\: \: y = - 3x - 4}}}}\)

Answer:

above answer is correct

mrk that braniliest

Answer:

i think G sorry if its wrong

Step-by-step explanation:

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

For more questions on Value.

https://brainly.com/question/843074

#SPJ8

Answer:

\(\frac{25\sqrt{3} }{8}\)

Step-by-step explanation:

CosA = \(\frac{1}{2}\) , so <A is 60º

Hypotenuse (c) is 5

Opposite is (b)

Adjascent is (a)

cos A = \(\frac{adjascent}{hypotenuse}\) -----> \(\frac{1}{2} = \frac{a}{5}\) ---------> a = \(\frac{5}{2}\)

Pytagoras

\(5^{2} = (\frac{5}{2}) ^{2} + b^{2}\\ b^{2} = 25 - \frac{25}{4} \\b^{2} = \frac{75}{4} \\\\b = \frac{5\sqrt{3} }{2}\)

A = b . a . 1/2

A = \(\frac{25\sqrt{3} }{8}\)

CosA =  , so <A is 60º

Hypotenuse (c) is 5

Opposite is (b)

Adjascent is (a)

cos A =  ----->  ---------> a =  

Pytagoras

A = b . a . 1/2

A =

Step-by-step explanation:

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

Learn more about trigonometrical ratios on https://brainly.com/question/23130410

#SPJ1

Answer:

a₃₅ = 182

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 17 - 12 = 22 - 17 = 5

This indicates the sequence is arithmetic with n th term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 5 , then

a₃₅ = 12 + (34 × 5) = 12 + 170 = 182

Answer:

b³/8a²

Step-by-step explanation:

This answer is obtained by cancelation of terms

Hope that helps you

Answer: 23

Step-by-step explanation: 3 · 32 + 8 ÷ 2 − (4 + 3)  

parentheses first 3 · 32 + 8 ÷ 2 − (7) Then you need to multiply and divide from the left to the right 96 + 4 -7 Then add and subtract 100-7 93

Then simplify

Answer:

\(93\)

Step-by-step explanation:

\(3\times \:32+8\div \:2-\left(4+3\right)\)

Use the PEMDAS order of operations:

⇒ Parentheses

⇒ Exponents

⇒ Multiplication

⇒ Division

⇒ Addition

⇒ Subtraction

______________

Calculate within Parentheses:

\(3\times \:32+8\div \:2-7\)

Multiplication/Division:

\(96+8\div \:2-7\)

\(96+4-7\)

Addition/ Subtraction

_________________

OAmalOHopeO

The width and the length of the rectangle are equal to 6√5 units and 3√5 units, respectively.

In this problem we find the area of the rectangle and the ratio of the length to the width of the figure. Mathematically speaking, the area of the rectangle is described by the following formula:

A = (2 · x) · x

A = 2 · x²

If the area of the rectangle is equal to 90 square units, then the width of the rectangle is:

2 · x² = 90

x² = 45

x² = 3² × 5

x = 3√5

The width of the rectangle is equal to 3√5 units. By the given ratio, the length of the rectangle is equal to 6√5 units.

Therefore, the length and width of the rectangle are equal to 6√5 units and 3√5 units, respectively.

The lower part of the picture is not related to the statement.

To learn more on rectangles: https://brainly.com/question/14207995

#SPJ1

Answer:

36

Step-by-step explanation:

The answer is 36, I did the work

The probability that a randomly selected exam will have a score of at least 71 is 0.7823

To solve this problem, we need to use the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. We can standardize the given distribution using the formula

z = (x - μ) / σ

where:

x = the score we're interested in (71 in this case)

μ = the mean of the distribution (78)

σ = the standard deviation of the distribution (9)

Substituting the values, we get

z = (71 - 78) / 9 = -0.78

We want to find the probability that a randomly selected exam will have a score of at least 71, which is the same as finding the probability that a randomly selected exam will have a score less than 71. We can use a standard normal distribution table or calculator to find this probability.

Using a standard normal distribution table, we look up the probability of z = -0.78 and subtract it from 1 (since we want the probability of a score less than 71)

P(z < -0.78) = 1 - 0.2177 = 0.7823

Learn more about probability here

brainly.com/question/11234923

#SPJ4

The given question is incomplete, the complete question is:

Scores on a recent national statistics exam were normally distributed with a mean of 78 and a standard deviation of 9. (you may need to use the appropriate appendix table or technology to answer this question.) (a) what is the probability that a randomly selected exam will have a score of at least 71?

Use tan(angle) = opposite leg/ adjacent leg

BC = tan(45) = x/100

X = tan(45) x 100

X = 100

BD = tan(60) = x/100

X = tan(60) x 100

X = 173

DC = BD - BC = 173-100 = 73

DC = 73

Answer:

2/9

Step-by-step explanation:

First step is to understand the question. Brian can choose 3 different color shirts and 3 different color pants.

First part asks you to choose which list has all the different outcomes.

Second part asks you what the probability of choosing a white/gray shirt with black pants.

Third part asks you to plot the probability on the number line.

Brian 3 different shirt each can be matched with 1 of the three color pants.

Ex:

Now, repeat this with the gray and blue shirt and choose the list that has all this shirt and pant combo. (notice List2 is missing white shirt and navy pants combo)

After choosing List1, find and count the desired outcome asked in part2: choose a gray or white shirt and black pants.

There are 2 outcomes out of the total 9 outcomes or 2/9.

For part3, plot 2/9 on the number line.

Look at my attachment for more detail.

Hope this helped :)

Answer:

3

Step-by-step explanation:

its the median, just see which one is in the middle by crossing out one dot on each side until you get to the middle

The value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.

The net asset value is the difference of total asset value of the company to the total liabilities value of that company.

Nezzie invests in 300 shares of stock in the fund shown below. Name of fund nav offer price lkit mid-cap $16.58 $16.99.

Nezzie plans to sell all of her 300 shares of stock when she can profit $5,000.

To find the net asset for this case, divide the profit with the number of shares and the higher price in that.

\(\rm Net Asset=\dfrac{5000}{300}+16.99\\\rm Net Asset=33.66\\\)

Thus, the value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.

Learn more about the net asset value here;

https://brainly.com/question/25646730

Answer:

14x+11

Step-by-step explanation:

4(2x-1)+3(2x+5)

8x-4+6x+15

14x+11