a = {1, 2, 3, 4, 5, 6, 7, 8}select the sets that form a partition of a.

Answer:

C.)  3.6 + (6 - 4)

Step-by-step explanation:

Answer:

the 3rd answer

Step-by-step explanation:

:)

The correct answer is C.

All you have to do is count each letter. The amount you get is the number to the right of the letter.

For example: There are 6 Carbons, 12 Hydrogens, and 2 Oxygens. Your answer shows the correct form is should be in, C6H12O2

Answer:

just do 50 times 0.3 your answer should be 15. subtract 15 from 50 and you'll have your answer 35.

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

The value of x is after solving the logarithm equation logx⁽⁵¹²⁾ = 3 is 8.

A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.

To solve the logarithm equation, we follow the steps below.

Given:

Step 1:

Therefore,

Step 2:

Convert 512 to index form. (i.e 8³)

Comparing both side of equation 1,

Hence, the value of x is 8.

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Answer:

25

Step-by-step explanation:

$50

Cost=$6

Selling price=$8

Profit=$8-$6=$2

50/2=25

The value of the given sine function is √3/2, so the correct option is 2nd.

Given that an function Sin (-5π/3) we need to evaluate the expression,

To evaluate the trigonometric function sine of the angle (-5π/3), we can use the periodicity of the sine function.

Since the sine function has a period of 2, the sine of any given angle is equal to the sine of that angle plus or minus any multiple of 2.

To find an equal angle inside the main range (between -π and π), we can add 2 to the angle (-5/3).

Once adding 2:

(-5π/3) + 2π = (-5π/3) + (6π/3) = π/3

Now we can evaluate the sine of π/3, which is a commonly known angle. The sine of π/3 is √3/2.

Therefore, sin(-5π/3) = sin(π/3) = √3/2.

Hence the correct option is √3/2

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Answer:

The algebraic equation for the given sentence is

3x - 8 = 25

Answer: I’m assuming that these are Angle measures. S=3

Step-by-step explanation:

180/3=60

20*3=60

S=3

Initially the number is given by 48.

Let the tens digit be x.

Given that the unit digit is twice the tens digit.

So the unit digit will be = 2x.

So, the number will be = 10*x + 1*2x = 10x + 2x = 12x

When the digits are reversed then the unit digit become x and tens digit become 2x.

So the reversed number is = 10*2x + 1*x = 20x + x = 21x

According to question if the number is doubled, it will be 12 more than the number reversed. So the best suited equation for this is given by,

2*12x = 21x + 12

24x = 21x + 12

24x - 21x = 12

3x = 12

x = 12/3 = 4

So the number is = 12x = 12*4 = 48.

Hence the initial number is 48.

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The probability that a randomly chosen junior who volunteers in their community volunteers at least twice a week is approximately 0.4444, or 44.44%

Explain the term probability

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probability is used in various fields, including mathematics, statistics, and science, to analyze and predict the outcomes of experiments, games of chance, and real-world events.

According to the given information

Using Bayes' theorem, we can write:

P(T|V) = P(V|T) * P(T) / P(V)

We know that two-thirds of the juniors volunteer in their community, so P(V) = 2/3.

We also know that 45% of the juniors who volunteer do so at least twice a week, so P(T) = 0.45.

To find P(V|T), we can use the conditional probability formula:

P(V|T) = P(V and T) / P(T)

We can interpret P(V and T) as the probability of junior volunteering at least twice a week AND volunteering in their community. We don't have that information directly, but we can use the fact that P(T|V) = 0.45 to estimate it:

P(T|V) = P(V and T) / P(V)

0.45 = P(V and T) / (2/3)

P(V and T) = 0.45 * (2/3) = 0.3

Now we can substitute all these values into the original Bayes' theorem formula:

P(T|V) = P(V|T) * P(T) / P(V)

P(T|V) = (P(V and T) / P(T)) * P(T) / P(V)

P(T|V) = 0.3 / (0.45 * (2/3))

P(T|V) = 0.4444...

Therefore, the probability that a randomly chosen junior who volunteers in their community volunteers at least twice a week is approximately 0.4444, or 44.44%

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Answer:

c=1/4t-3

Step-by-step explanation:

The hypergeometric probability function is based on the counting rule for combinations.

This rule states that if you have two sets of items, with one set containing n1 items and the other containing n2 items, the number of possible combination of r items that can be taken from the two sets is equal to n1+n2 choose n1. This means that you have to select n1 items from the first set, then n2 items from the second set. This function is used in probability calculations to determine the probability of selecting a certain number of items from one set, given a certain number of items from the other set. It is also used to calculate the probability of a certain event occurring when items are randomly selected from two sets.

The hypergeometric probability function can be used to calculate the probability of drawing a certain number of items from a given set. It can also be used to calculate the probability of a certain event occurring. For example, if you are playing a game where you draw 5 balls out of a bag of 20, you can use the hypergeometric probability function to calculate the probability of drawing a certain number of balls from the bag.

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Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

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The standard deviation of the sample means would be the population standard deviation divided by the square root of the sample size which is $1.58.

Central Limit Theorem states that if the sample size is large enough, the sample means follow an approximately normal distribution regardless of the distribution of the population mean, with a mean equal to the population mean and standard deviation equal to the population mean divided by the square root of the sample size.

The given population mean is $80, and standard deviation is $10. Random samples of 40 have been taken.

We are required to apply the Central Limit Theorem to describe the sampling distribution of the sample mean with n.

According to the Central Limit Theorem, the sampling distribution of the sample mean with n would be normal distribution.

The mean of the sample means would be the population mean, i.e. μ = $80.

The standard deviation of the sample means would be the population standard deviation divided by the square root of the sample size, i.e.

σ/√n = $10/√40

= $1.58.

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Answer:

Just do 17 times 8

Step-by-step explanation:

You just need to go into yours phones calculator and put in 17 times 8

Answer: 136

Step-by-step explanation:

17*8=136

Answer: The cost of a pencil and a pen is 8 cents

Answer:

14 seconds will be preferable for the second plan

Answer:

14/11

Step-by-step explanation:

cause when u divide you have to switch the second fraction; it's called the reciprocal.

do crossed division and you'll get 14/11.

Answer:

1 1/2

Step-by-step explanation:

1 4/5 ÷ 1 1/5

convert to full fractions:

9/5 ÷ 6/5

9/5 x 5/6 = 45/30 = 1 1/2

Answer: 5 Ounces

Step-by-step explanation: Just add 16 twice to get 32 for the second grocery bag that's 32 ounces which is 2 pounds and then 3 pounds is 48 ounces.

Answer:

Step-by-step explanation:

Hi:

First determine those without brown hair:

40-22=18 don't have brown hair.

18/40 don't have brown hair:

Divide by 2

9/20

Multiply by 5 to get percent

45/100= 45 percent don't have brown hair

Step-by-step explanation:

an expression (polynomial) with the highest exponent = n has n zeros (solutions, where y = 0, although some of them can be imaginary numbers, or some can fall together into 1 solution).

and it has max. n-1 relative extrema ("bumps" in the curve, where the curve changes direction from up to down or vice versa).

so, in our case of

f(x) = 3x⁵ - x³ + 4x - 2

we have max. 5-1 = 4 relative extrema.

If Ariana removes the $4,800 rent from the set, the mean and median of the remaining rents will decrease because $4,800 is a very high value compared to the other rents.

Before removing the $4,800 rent, the mean can be calculated by adding up all the rents and dividing by the total number of rents (5):

Mean = (1,000 + 1,200 + 1,300 + 1,400 + 4,800) / 5 = 2,540

The median is the middle value in the set, which is 1,300.

After removing the $4,800 rent, the new mean can be calculated by adding up the remaining rents and dividing by the new total number of rents (4):

New Mean = (1,000 + 1,200 + 1,300 + 1,400) / 4 = 1,225

The new median is still 1,300 because it is the middle value in the remaining set.

Therefore, removing the $4,800 rent will decrease both the mean and median of the remaining rents.

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Therefore, the probability that Sayan can go on the trip without having to replace the hard drive during the trip is approximately 0.868.

Since the number of hours that a computer hard drive can run before it conks off is exponentially distributed with an average value of 5 years, we can use the following exponential probability density function:

f(x) = (1/μ) * exp(-x/μ)

where x is the number of hours, μ is the mean (or average) number of hours, and exp() is the exponential function.

In this case, μ = 5 years * 12 months/year = 60 months. We want to find the probability that the hard drive will not fail during an 8 month trip, given that it has already been in use for 3 years (or 36 months).

Let X be the number of months the hard drive lasts. Then, X is exponentially distributed with mean μ = 60 months. We want to find P(X > 8 + 36 | X > 36).

Using the memoryless property of the exponential distribution, we have:

P(X > 8 + 36 | X > 36) = P(X > 8)

= exp(-8/60)

≈ 0.868

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The answer is B and pls mark me brainiest

The equation of the hyperbola is:

(x - 3)² / 9 - (y - 2)² / 16 = 1.

To find the equation of the hyperbola with the given foci and vertices, we need to determine the center, semi-major axis (a), and semi-minor axis (b) of the hyperbola.

The center of the hyperbola is the midpoint between the two vertices:

Center = ((3 + 3) / 2, (5 + (-1)) / 2) = (3, 2).

The distance between the center and one of the vertices gives us the semi-major axis (a):

a = distance between center and vertex = 5 - 2 = 3.

The distance between the center and one of the foci gives us the distance c (the distance from the center to the focus):

c = distance between center and focus = 7 - 2 = 5.

Now, we can find the value of b (the semi-minor axis) using the relationship between a, b, and c in a hyperbola:

c² = a² + b²

5² = 3² + b²

25 = 9 + b²

b² = 25 - 9

b² = 16

b = 4.

Now that we have the center (h, k) = (3, 2), the semi-major axis (a) = 3, and the semi-minor axis (b) = 4, we can write the equation of the hyperbola in standard form:

For a hyperbola (center at (h, k)), the equation is:

(x - h)² / a² - (y - k)² / b² = 1.

Plugging in the values:

(x - 3)² / 3² - (y - 2)² / 4² = 1.

The equation of the hyperbola is:

(x - 3)² / 9 - (y - 2)² / 16 = 1.

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The standard error of the sample mean is 1.21.

Given;

Suppose a diet regimen for men results in an average weight loss of between 13. 4 and 18. 3 pounds, according to a 95% confidence interval. These findings were based on a group of 42 men who were classified as overweight at the beginning of the four-month trial.

A 95% confidence interval for a population mean is (13.4, 18.3)

Upper limit = 18.3

Lower limit = 13.4

Since population SD is unknown, this interval is constructed using the t distribution.

n = 42

c = 0.95

∴ α = 1 - c = 1 - 0.95 = 0.05

α/2 = 0.025

Also, d.f = n - 1 = 42 - 1 = 41

∴ ta/2.d.f =  ta/2.n-1  =  t0.025,41  =  2.02 . . . . use t table

Now,

The margin of error = (Upper limit - Lower limit)/2

                                 = (18.3 - 13.4)/2

                                 = 2.45

But,

Margin of error = ta/2.d.f-  * (s / \sqrt{} n)

Margin of error = ta/2.d.f-  * Standard error

2.45 = 2.02 * Standard error

Standard error = 1.2129

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The number of students in the telescope club by $x$ and the number of students in the math club by $y$.

$y=2x$Now, suppose there are $z$ students who are members of both clubs. Then the total number of students who are in the math club or the telescope club (or both) is given by:$x + y - z$ Substituting $y=2x$ in the above expression, we get:$x + 2x - z=3x - z$ Hence, the expression for the total number of students who are in the math club or the telescope club (or both) is $3x - z$.b)The number of students who are in the math club but not in the telescope club is given by:$y-z$ And the number of students who are in the telescope club but not in the math club is given by:$x-z$ Adding these two expressions, we get the total number of students who are in the math club or the telescope club but not both:$ y-z+x-z $.

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If the sum of the height and the perimeter of the square base is 14 in, the maximum possible volume is 54 in³.

Let x represent the square box's rectangular base's side length.

Suppose h is the height.

Volume V should be used.

Considering that the square base's height plus perimeter equals 14 inches.

h + 4x = 18

Subtract 4x on both side, we get

h = 18 - 4x..........(1)

The volume is given as:

V = Area × Height

V = x² × h

Substitute the value of h

V = x² × (18 - 4x)

V = 18x² - 4x³..........(2)

Differentiate the equation 2 with respect to x

dV/dx = 36x - 12x²..........(3)

For the critical numbers,

dV/dx = 0

So, 36x - 12x² = 0

x(36 - 12x) = 0

x(-12x + 36) = 0

Equating equal to 0

x = 0                      -12x + 36 = 0

x = 0                      -12x = -36

x = 0                       x = 3

Differentiate the equation 3 with respect to x

d²V/dx² = 36 - 24x

At x = 3 the value of d²V/dx² is

d²V/dx²  = 36 - 24 × 3

d²V/dx² = 36 - 72

d²V/dx² = -36 < 0

x = 3 corresponds to the maximum of the volume V according to the second derivative test.

Now from the equation 1;

\(V_{\text{max}}\) = 18(3)² - 4(3)³

\(V_{\text{max}}\) = 18(9) - 4(27)

\(V_{\text{max}}\) = 162 - 108

\(V_{\text{max}}\) = 54 in³

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