A two-person subcommittee is chosen from a group of five coworkers: Amanda, Boris, Cynthia, Dante, and Evelyn. All possibilities are equally likely. (a) Write down the sample space for the subcommittee selection. For the rest of the problem, let A be the event that Amanda is on the subcommittee, and likewise B,C,D,E for the other four people. E
1
​
+ 4
1
​
= 20
9
​
. (b) Describe in words the event A∩D c
and compute its probability. (c) Describe in words the event (C∪E) c
and compute its probability. (d) Compute P(C) and P(C∣A). Provide an intuitive explanation for why P(C∣A) is smaller than P(C).

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Jasmine, as a structural engineer, is responsible for designing the lift hill of a roller coaster. By designing the lift hill according to this equation, Jasmine ensures that the roller coaster operates safely and effectively.

Jasmine, as a structural engineer, is responsible for designing the lift hill of a roller coaster. The equation y=x is a simple linear equation, where y represents the height of the lift hill and x represents the horizontal distance traveled along the track. In this case, the equation suggests that the height of the lift hill increases linearly with the horizontal distance traveled.

The equation y=x implies that for every unit increase in the distance traveled along the track, there is an equal increase in the height of the lift hill. This linear relationship ensures a gradual incline for the roller coaster, providing a smooth and enjoyable experience for riders. By designing the lift hill according to this equation, Jasmine ensures that the roller coaster operates safely and effectively.

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Answer:

n = 2 and a = - 4

Step-by-step explanation:

(1)

- 4n - 8 = 4(- 3n + 2) ← distribute parenthesis

- 4n - 8 = - 12n + 8 ( add 12n to both sides )

8n - 8 = 8 ( add 8 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

(2)

a - 15 = 4a - 3 ( subtract a from both sides )

- 15 = 3a - 3 ( add 3 to both sides )

- 12 = 3a ( divide both sides by 3 )

- 4 = a

Answer:

They are parallel but not the same

Step-by-step explanation:

because they have same slope or gradient which is 2

Answer:

1307300000 this is the answer

Step-by-step explanation:

1.39*10^9

The exponent is 9, making it 10 to the power of 9. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 9 times (s):

1.39 -> 1390000000

8.27*10^7

Simplify exponents and square roots

8.27*10^7 8.27*10000000

Perform any multiplication or division, from left to right:

8.27*10000000

82700000

Answer:

D. 20 in by 30 in by 10 in

Step-by-step explanation:

The rest of them would equal 600 in³ but answer choice D when multiplied together equaled 6,000 in³.

Answer:

9.2h+50

Step-by-step explanation:

im not sure if this is correct and im only in middle school but i had this same quetsion and got that snwer

To calculate the volume of the solid obtained by revolving the region under the graph of the function f(x) = 7 about the y-axis over the interval [0,4], we can use the method of cylindrical shells.

The volume of each cylindrical shell is given by the formula V = 2πx * h * Δx, where x represents the position along the x-axis, h represents the height of the shell, and Δx represents the infinitesimally small width of the shell.

In this case, since we are revolving the region under the graph of a constant function f(x) = 7, the height of each cylindrical shell is constant at h = 7. The width of each shell is Δx.

To calculate the total volume, we need to integrate the volume of each shell over the interval [0,4]. The integral expression for the volume V is:

V = ∫(0 to 4) 2πx * 7 dx

Evaluating this integral will give us the volume of the solid obtained by revolving the region under the graph of f(x) = 7 about the y-axis over the interval [0,4].

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Women make up 64% of the sample and are typically the household's main investment.

There is a correlation between American women and being the main provider in their home.

Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.

For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.

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The correct question is - Suppose a survey of 580 women in the United States found that more than 64​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

Answer:

45/100x = 81

X = 180

45 percent of the number 180 is 81.

Let the unknown number be x.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here, 45% of x is 81

45% of x= 81

45/100 ×x= 81

0.45x=81

x=81/0.45

x= 180

Therefore, 45 percent of the number 180 is 81.

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Answer:

y = 4x-1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x+b

Substitute the point in and solve for b

3 = 4(1)+b

3 = 4+b

3-4 = b

-1 =b

y = 4x-1

Answer:

y = 4x - 1

Step-by-step explanation:

y = mx + b

y = 4x + b

3 = 4(1) + b

3 = 4 + b

b = -1

y = 4x - 1

Each box needs to have a minimum space of 576 cubic inches to hold the toy.

What is a cuboid?

A cuboid is a three-dimensional solid shape that has six rectangular faces, where each face meets at right angles with adjacent faces.

To calculate the space required for each box to hold a toy that is 8 inches tall by 12 inches wide and 6 inches deep, we need to calculate the volume of the toy.

The volume of the toy can be calculated as:

Volume = height x width x depth

Volume = 8 inches x 12 inches x 6 inches

Volume = 576 cubic inches

Therefore, each box needs to have a minimum space of 576 cubic inches to hold the toy.

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Answer:

49

Step-by-step explanation:

\(MOE =z\frac{s}{\sqrt{n}}\)

\(\displaystyle 0.0005=2.326\biggr(\frac{0.0015}{\sqrt{n}}\biggr)\\\\0.0005\sqrt{n}=2.326(0.0015)\\\\\sqrt{n}=2.326(3)\\\\\sqrt{n}=6.978\\\\n\approx49\)

Therefore, you would need a sample size of 49 to obtain a margin of error of 0.0005

Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer:

G

Step-by-step explanation:

you just see the place value of the number you are multiplying by and you you put the place value. For example ( 3× 0.01)   is going to be ( 0.03) if it makes it easier just take the 3 and substitute it for the 1.

Hope this helped  : )

Answer:

20 miles < The distance between the cities < 200 miles

Step-by-step explanation:

The given information on the sign = "Wichita 90 mi, Topeka 10 mi"

Given that the two cites are not colinear, we have;

The number of points specified in the figure = 3 points

The specified points are;

1) The location of the family

2) The location of Wichita, relative to the family's location, = 90 mi

3) The location of Topeka, relative to the family's location, = 110 mi

Therefore, given that the three points are not colinear, they form the vertices of a triangle

The legs of the triangle are 90 mi and 110 mi

The maximum distance between Wichita and Topeka is therefore = 90 + 110 = 200 miles

The minimum distance distance from Wichita to Topeka = 110 - 90 = 20 miles

Therefore, the possible range of distances between the two cities is 20 miles to 200 miles.

Which gives;

20 miles < The distance between the cities < 200 miles.

Answer:

See below

Step-by-step explanation:

You can always plug in x's and solve for y.

Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:5.621

Step-by-step explanation:

A statement is indeed a sentence that can be viewed as true or false. In logic and mathematics, statements are expressions that make a claim or assertion and can be evaluated for their truth value.

They can be either true or false, but not both simultaneously. Statements play a fundamental role in logical reasoning and the construction of logical arguments. It is important to note that statements must have a clear meaning and be well-defined to be evaluated for truth or falsehood. Ambiguous or incomplete sentences may not qualify as statements since their truth value cannot be determined.

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Answer:

triangle STU and WEK are CONGRUENT

ST=WK SIDE OF A CONGRUENT TRAINGLE ARE EQUAL

2M=N.....1

SU=WE

3M+5=N+8

3M+5=2M+8

3M-2M=8-5

M=3

NOW

N=2M=2×3=6CM

TU=WK=N=6CM.

Considering the graph of g(x) which is a transformation of the graph of

f(x) = 3ˣ, the equation for g(x) is

g(x) = 3ˣ ⁺ ¹- 2

Translation say x units to the left is represented by positive x units while to the right is represented by negative x values. the left and right translation is restricted to the x values.

Translation say x units up is represented by positive x units while to the down is represented by negative x values. the top and down translation is restricted to the y values or the function itself.

The transformation of f(x) = 3ˣ include

translation 1 unit to the left = x + 1 putting to the equation yields 3ˣ ⁺ ¹

translation 2 units to the down = "the equation itself" - 1 putting to the equation yields 3ˣ ⁺ ¹- 2

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Answer:

60 minutes

Step-by-step explanation:

Latitude and longitude are measuring lines used for locating places on the surface of the Earth. They are angular measurements, expressed as degrees of a circle. A full circle contains 360°. Each degree can be divided into 60 minutes, and each minute is divided into 60 seconds.

One degree of latitude is equal to approximately 60 nautical miles or 69 statute miles. Since a minute of latitude is one-sixtieth of a degree, it follows that one degree of latitude is equal to 60 minutes.

This means that there are 60 nautical miles or 69 statute miles between two points that differ by one minute of latitude.

The minute of latitude is a widely used unit for measuring distances on Earth, particularly in navigation and aviation. It allows for precise calculations and is crucial for determining positions accurately. Understanding the relationship between degrees of latitude and minutes helps in determining distances, estimating travel times, and ensuring accurate navigation across the globe.

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The standard deck of 52 cards has 26 black and 26 red cards, including 2 jacks for each color. Therefore, there are two red jacks in the deck, so the probability of drawing a red jack is \(\frac{2}{52}\) or \(\frac{1}{26}\).

The total number of cards in a standard deck is 52. There are 4 suits (clubs, spades, hearts, and diamonds), each with 13 cards. For each suit, there is one ace, one king, one queen, one jack, and ten numbered cards (2 through 10).The probability of drawing a red jack can be found using the formula:P(red jack) = number of red jacks/total number of cards in the deck.There are two red jacks in the deck, so the numerator is 2. The denominator is 52 because there are 52 cards in a deck. Therefore: P(red jack) = \(\frac{2}{52}\) = \(\frac{1}{26}\) (fraction in lowest terms)or P(red jack) = 0.0384615 (decimal rounded to the nearest millionth) There is a \(\frac{1}{26}\) or 0.0384615 probability of drawing a red jack from a standard deck of 52 cards.

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We will determine how to evaluate a function with respect to an input value.

A function is defined as a mathematical relationship between the input and output. Where the function gives the output but depends on the input value. The relationship of a function is defined in terms of the input variable as follows:

The above function g ( n ) depends on the input variable ( n ). The relationship is mathematically expressed in terms of the input variable ( n ).

We are to evaluate the above function g ( n ) for the input value of n = -3. We will simply substitute the value of ( n )-input variable in the expressed relationship as follows:

The output value corresponding to the input of the function g ( -3 ) is :

Answer:

Where is the picture so we can see the angles and the triangles

Answer:

75

Step-by-step explanation:

(0.45)(30) = (0.18)x

x = (0.45)(30) / (0.18)

x = 13.5 / 0.18 = 75

Check the answer:

(0.45)(30) = (0.18)(75)

13.5 = 13.5   answer is correct!

Answer:

Step-by-step explanation:

45% of 30 = 18% of some number

In this kind of questions, we usually assume the missing number as as something

Let the number be x

So assuming the number is x, the equation will be as follows:

45% of 30 is equal to 18% of x

45/ 100 * 30 = 18/100 * x

This means that 0.45 *30= 0.18 * x

Therefore, 13.5 = 0.18 x

Thus X = 13.5 / 0.18

Which is equal to 75

Thus 45% of 30 is equal to 18% of 75

Proving the above situation as follows:

45% OF 30 = 13.5

And 18% of 75 = 13.5

Thus both equations are equal.

Solution =75

It is a graph of a function