Suppose that 55% of all voters prefer candidates A. If 8 people are chosen at random for a poll, what is the probability that exactly 1 of them favor candidates A

Answer:

12i

Step-by-step explanation:

sqrt(-1) = i, sqrt(144) = 12

Answer:

7

Step-by-step explanation:

The transformation of f(x) to g(x) is :

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

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627 x 26 equals 16,302 when solved using the standard algorithm.

The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:

627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.

Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.

1254 -- a 6 x 7 partial product

1254 -- a half 6 x 2 product

Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.

1254 x 627

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We use Z-Distribution for large sample sizes, The reduced sample size is 200.

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution.

confidence interval = 0.06

Sample size= 400

new interval of confidence = 0.03

new sample size = 400/0.06 * 0.03

=200

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Answer: 0.4

Step-by-step explanation:

Given: Cumulative exponential distribution:

\(P(x<k)=1-e^{\frac{-x}{k}}\)

As per given,

\(P(x<2)=1-e^{\frac{-2}{k}}=0.381\\\\\Rightarrow\ e^{\frac{-2}{k}}=1-0.381\\\\\Rightarrow\ e^{\frac{-2}{k}}=0.619\\\\\Rightarrow\ {\frac{-2}{k}}=\ln(0.619) \ \ \ [\text{Taking natural log on both sides }]\\\\\Rightarrow\ {\frac{-2}{k}}=-0.47965\\\\\Rightarrow\ k=\dfrac{2}{0.47965}\\\\\Rightarrow\ k=4.17\)

\(P(0.5 < X < 3) \\\\=P(X<3)-P(X<0.5) \\\\=(1-e^{-\frac{3}{4.17}})-(1-e^{-\frac{0.5}{4.17}}) \\\\=e^{-\frac{0.5}{4.17}}-e^{-\frac{3}{4.17}}\\\\= 0.4\)

Hence, the required probability = 0.4

Answer:

line j

Step-by-step explanation:

Answer:

Using the Pythagorean Theorem, we know x^2 + 46^2 is equal to 65^2. With that in mind, it is important to note:

65^2 = 4,225

46^2 = 2,116

To find the missing angle, we must subtract 2,116 from 4,225 and then identify the difference’s square root.

4,225 - 2,116 = 2,109

√2,109 ≈ 45

Hence, x ≈ 45.

Step-by-step explanation:

The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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The formula for  that represent the area covered by a marsh A(n) is \(A(n)=11500(\frac{1}{4} )^n\).

An exponential decay is given by the function:

y = abˣ

Where a is the initial value of y, b is a constant which is less than 1, y, x are variables.

Since the area covered by a marsh, A, starts at 11500 acres, hence a = 11500. Since the area drops by 1/4 each year for n years, hence:

\(A(n)=11500(\frac{1}{4} )^n\)

Therefore the formula for A(n) is \(A(n)=11500(\frac{1}{4} )^n\)

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The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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If we plot it, we see that the two inequalities have no commonality in any range of numbers.

Thus I think it never alerts.(( I'm not sure about it ))

The simplified form of the expression (2x+8)^6 is\(64x^6 + 1536x^5 + 15360x^4 + 819204x^3 + 245760x^2 + 393216x + 262144.\)

To simplify the expression (2x + 8)^6, we need to raise the binomial (2x + 8) to the power of 6. This can be done using the binomial theorem.

The Binomial Theorem states that for any positive integer n and real numbers a and b, the expansion of the expression (a + b)^n is a sum of terms of the form (a^(n-k) * b^k * C(n,k)), where C(n,k) represents the binomial coefficient, which is equal to n!/(k!(n-k)!).

\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n\)

Where C(n, k) is the binomial coefficient, given by C(n, k) = n! / (k! (n - k)!).

In this case, a = 2x and b = 8. So, substituting these values into the binomial theorem:

\((2x + 8)^6 = C(6, 0)(2x)^6 8^0 + C(6, 1)(2x)^5 8^1 + ... + C(6, 5)(2x)^1 8^5 + C(6, 6)(2x)^0 8^6\)

Expanding each term, and combining like terms, we get:

\((2x + 8)^6 = 64x^6 + 1536x^5 + 15360x^4 + 819204x^3 + 245760x^2 + 393216x + 262144\)

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Answer:

A

Step-by-step explanation:

Calculation seems correct to me, with d the distance and h the height of the plane, and i got the same value. Closest value is A tho, so i'd stick with it.

If you want to be pedantic about it, you can always divide the heigth by each value, and get the inverse tangent of each value. With A you get 17.995 which seems the best value you get

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

\(9\frac{6}{12}\)

Step-by-step explanation:

\(6\frac{2}{6} \cdot 1\frac{1}{2} = \frac{38}{6} \cdot \frac{3}{2} = \frac{114}{12}=9\frac{1}{2}\), which is also equal to \(9\frac{6}{12}\).

Answer:

Tower A= 442 m

Tower B= 508 m

Step-by-step explanation:

Tower A is 66 meters shorter than Tower B. The 381-meter-high Tower C is 61 meters shorter than Tower A.

We are given:

A= 381+61 ["Tower C is 61 meters shorter than Tower A"]

B= (381+61) +66 ["Tower A is 66 meters shorter than Tower B"]

C= 381 ["The 381-meter-high Tower C"]

A= 442

B= 508

C= 381

Answer:

107/33

Step-by-step explanation:

Answer: -24

Step-by-step explanation:

Substitute k and m with -3 and -9 then solve.

The equation that represent the given situation is y = 15x + 70

When she plants 3 stalks, each plant yields 115 ounces of beans

The first point = (3, 115)

When she plants 8 stalks, each plant yields 190 ounces of beans

The second point = (8, 190)

The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)

Substitute the values in the equation

The slope of the line m = (190-115) / (8-3)

= 75/5

= 15

The point slope form is

\(y-y_1=m(x-x_1)\)

Choose one point and substitute the values in the equation

y - 115 = 15(x - 3)

y - 115 = 15x - 45

y = 15x - 45 + 115

y = 15x + 70

Hence, the equation that represent the given situation is y = 15x + 70

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Answer: 1/3 must be divided into fourths

Step-by-step explanation:

Answer:

I think C is correct answers im not sure though

The only given function that is an exponential decay function is;

C:  f(x) = ³/₂(⁸/₇)⁻ˣ

Now, the general formula for exponential decay function is;

f(x) = abˣ

where b is the decay factor.

Now, the decay factor which we will call the base of the exponent must be greater than 1 .

Also, the exponent x must be negative to be called an exponential decay function.

Looking at the given options, only Option C meets the criteria for an exponential decay function.

The given options are;

A) f(x) = ³/₄(⁷/₄)ˣ

B) f(x) = ²/₃(⁴/₅)⁻ˣ

C) f(x) = ³/₂(⁸/₇)⁻ˣ

D) f(x) = ¹/₃(-⁹/₂)ˣ

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Answer:

Jorge Has 33 more toy animals than kara

Step-by-step explanation:

Answer:

Jorge has 33 toy animals.

Step-by-step explanation

We're adding 25 and 8 together to get our answer, which would be 33 at the end.

The value of the length CE is 19.3 units

From the question, we have the following parameters that can be used in our computation:

The right triangle

Start by calculating the length AE using the following sine ratio

sin(B) = AE/AB

Substitute the known values in the above equation, so, we have the following representation

sin(40) = AE/50

So, we have

AE = 50 * sin(40)

Evaluate

AE = 32.14

From the figure, we can see that

Triangle CDE is 3/5 of triangle ABE

Using the above as a guide, we have the following:

CE = 3/5 * AE

So, we have

CE = 3/5 * 32.14

Evaluate

CE = 19.284

Approximate

CE = 19.3

Hence, the length is 19.3 units

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Answer:

$392

Step-by-step explanation:

I may have solved it differently

500-18(6)=a

500-108=392

Juan will need $392 after 6 weeks of saving.

The translation "If you see a penny, pick it up, all day long you'll have good luck" is represented as (SAP) ➡ G in formal logic.

In formal logic, we often use symbolic notation to represent statements and their logical relationships.

In this case, the natural language sentence is being translated into formal logic using symbolic variables and logical connectives.

The translation provided uses three variables:

S represents the statement "You see a penny."

P represents the statement "You pick the penny up."

G represents the statement "All day long you'll have good luck."

The arrow (➡) is a logical connective that represents implication.

It signifies that the statement on the left side of the arrow (SAP) implies the statement on the right side (G).

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Answer:

80%/100%×$24

Step-by-step explanation:

I don't see any options here so let's work it out.

If all prices are reduced by 20%,it implies that 80% of the original value is charged to the buyer as sales price.

Since original value of the pants is $24-100%

then sales value(80%)=(80%/100%×$24)

Answer:

$30

Step-by-step explanation:

I took the test on k12 and got it correct.