How do I do this ? I need to find the solution for it

I think it's 17 because if they have 17 tasks they can assign 17 different ones.

The number of ways is there to assign the tasks will be 19448.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

17 different tasks are assigned to 7 different people.

Each task is assigned to exactly one person and there are no restrictions on the number of tasks that can be given to any one person.

Since the tasks are different, it matters who gets which tasks.

Then the number of the ways are there to assign the tasks will be

¹⁷C₇ = 17! / [(17 - 7)! x 7!]

¹⁷C₇ = 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10! / (10! x 7!)

¹⁷C₇ = (17 x 16 x 15 x 14 x 13 x 12 x 11) / (7 x 6 x 5 x 4 x 3 x 2 x 1)

¹⁷C₇ =  (17 x 16 x 13 x 11) / (2)

¹⁷C₇ =  38896/3

¹⁷C₇ =  19448

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Answer:

WILL GIVE BRAINLIEST 60 POINTS Given that figure ABCD is a dilation of figure KLMN, find the missing values:

(Note that values are slightly different

Answer: The investment that was put in the account is 6268 at 14%, while the amount that is invested in the stock is 5568 at 11%.

Step-by-step explanation:

Let the amount that is put into the account is x, while the amount that is invested in the stock market is y. Given the investor puts $700 more in the first account than in the stock fund, therefore, the equation can be written as,

x-y=700

x=700+y

Also,  at the end of the year the total interest from the two investments was $1490. Therefore, we can write,

.14x+.11y=1490

Substitute the value of x from the above,

.14(700+y)+.11y=1490

y=5568

substitute the value of y in the first equation,

x-5568=700

x=6268

The investment that was put in the account is 6268 at 14%, while the amount that is invested in the stock is 5568 at 11%.

Answer:

$79.05

Step-by-step explanation:

Multiply 93 times 15%, which gets you $13.95.

Then subtract 13.95 from the 93 (93 - 13.95).

Answer:

15 boys and 16 girls.... total is (15 + 16) = 31

probability that a boy's name is drawn: boys/total ppl = 15/31

Step-by-step explanation:

Answer:

15/31

Step-by-step explanation:

well i dont now anyone who wnats to name there child BRAWN

Answer:kbef;eohrjkvoubwe

cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?

A.

Kendall might be determined to be insane and not qualified to testify.

B.

The evidence in Kendall’s case is inconclusive and doesn’t prove anything.

C.

Kendall is an expert witness who has testified many times before.

D.

The police think it will hurt their case if Kendall chooses to testify.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arc length= \(\frac{interior angle}{360} 2\pi r\)

Answer:

1.375 ft

Step-by-step explanation:

10/2.5 = 4

5.5 / 4 = 1 1.5/4 = 1 3/8 = 1.375 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

what is the fraction,in this questio?

Answer:

0.04 rad/sec

Step-by-step explanation:

A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an observer. Find the rate of change of the angle of elevation of the balloon from the observer when the balloon is 50 meters above the ground.

The rate of rise = dh/ dt = 4 m/s

h is the height of the balloon = 50 meters

Tanθ = opposite/ adjacent

tanθ = h / 50

Differentiating both sides of the equation with respect to t:

d(tanθ) / dt = (d/dt)(h/50)

dtanθ / dt = (dh/dt)(1/50)

But dh/dt = 4 m/s, dtanθ/dt = sec²θ

\(sec^2\theta\frac{d\theta}{dt} = (4)(1/50)\\\\sec^2\theta=\frac{1}{cos^2\theta}\\\\\frac{1}{cos^2\theta} \frac{d\theta}{dt} =0.08\\\frac{d\theta}{dt} =cos^2\theta(0.08)\\\\At\ h=50/ m\\\\tan\theta=\frac{h}{50}\\ \\tan\theta=\frac{50}{50}=1\\\\\\\theta=tan^{-1}1=45^o\\\\Substituting\ \theta=45^o:\\\\\frac{d\theta}{dt} =cos^2(45)*(0.08)\\\\\frac{d\theta}{dt}=0.04\ rad/sec\)

Answer:

Below

Step-by-step explanation:

A cube has SIX sides of equal area

  each side has area = L x W       and L and W are the same = 4.5 m

      so:   Area =   six   X   ( 4.5  X 4.5)  =   6 * 4.5 * 4.5 = 121.5 m^2

Answer:

Hope the picture will help you...

Answer: Part A: 1/26 or 0.38

Part B: 1/59 or 0.017

Step-by-step explanation:

The probability that a defective component will be detected only by the first inspector is 0.19

The probability that a defective component will be detected by exactly one of the two inspectors is 0.38

The probability that all three defective components in a batch escape detection by both inspectors is 0.

It is given that The first inspector detects 81% of all defectives that are present, and the second inspector does likewise.

Therefore P(A)=P(B)=81%=0.81

At least one inspector does not detect a defect on 38% of all defective components.

Therefore, bar P(A∩B)=0.38

As we know:

bar P(A∩B)=1-P(A∩B)=0.38

P(A∩B)=1-0.38=0.62

A defective component will be detected only by the first inspector.

P(A∩barB)=P(A)-P(A∩B)

=0.81-0.62

P(A∩barB)=0.19

The probability that a defective component will be detected only by the first inspector is 0.19

Part (B) A defective component will be detected by exactly one of the two inspectors.

This can be written as: P(A∩barB)+P(barA∩B)

As we know:

P(barA∩B)=P(B)-P(A∩B) and P(A∩bar B)=P(A)-P(A∩B)

Substitute the respective values we get:

P(A∩ barB)+P(bar A∩B)=P(A)+P(B)-2P(A∩B)

=0.81+0.81-2(0.62)

=1.62-1.24

P(A∩ barB)+P(bar A∩B)=0.38

The probability that a defective component will be detected by exactly one of the two inspectors is 0.38

Part (C) All three defective components in a batch escape detection by both inspectors

This can be written as: P(bar A∪ bar B)-P(bar A∩B)-P(A∩ barB)

As we know bar P(A∩B)=P(bar A∪ bar B)=0.38

From part (B): P(bar A∩B)+P(A∩bar B)=0.38

This can be written as:

P(bar A∪ bar B)-P(bar A∩B)-P(A∩bar B)=0.38-0.38=0

The probability that all three defective components in a batch escape detection by both inspectors is 0

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Answer:

-12

Step-by-step explanation:

So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).

Then, we  need to know the slope-intercept form of an equation. The slope intercept form is \(y=mx+b\) where \(m\) is the slope of the line and \(b\) is the y-intercept. In this problem where can see the second equation is already in this form.

Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.

To do this, we know we need to make sure \(y\) is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have \(-\frac{1}{2} y\) so we have to divide both sides by \(-\frac{1}{2}\) to get \(y=-12x -20\)

Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or \(m\) in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.

Answer:

three and three eighteenths

5 3/6 = 33/6

2 1/3 = 7/3 = 14/6

33/6 - 14/6 = 19/6 = 3 1/6 or 3 3/18

\(\cfrac{3}{5}\div\cfrac{3}{7}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{7}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{7}{5}\implies 1\frac{2}{5}\)

s = 1

The given equation is:

2s + 8 - 1s - 3 = 4 + 2

2s + 8 - 1s - 3 = 6

Collect like terms:

2s - 1s + 8 - 3 = 6

s + 5 = 6

Collect like terms:

s = 6 - 5

s = 1

Answer:

4x-3 because there are four x boxes and three negative boxes

Step-by-step explanation:

got it right on edge 2021

Answer:

6.2%, option A.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

The desired area to hit is of 50 in², while the total area is of 804 in². Thus, the probability of hitting the bull's-eye is:

\(p = \frac{50}{804} = 0.062\)

0.062*100% = 6.2%.

6.2%, option A.

Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47

In 37 years and 6 months, Jacob will be 1.5 years older than his uncle Todd.

In 37 years and 6 months, Jacob will be 1.5 years older than his uncle Todd.

Hello, using the information provided, write an equation to get the answer to this question:

33 years old Todd

12 years old Jacob

So, Jacob's age plus the amount of years asked equals 1.5 Todd's age (1.5 x 33).

(12+x)

12 +x = 1.5 (33) (33)

working out x

12 +x = 49.5

x= 49.5 -12

: x = 37.5 years

Given that 12 months make up a year, 0.5 years is equal to half a year.

12 times 0.5 years equals 6 months.

In 37 years and 6 months, Jacob will be Todd's age by a factor of 1.5.

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The correct answer is:

O Yes; 7/56 and 48/6 are proportional because 7 * 6 = 48 * 56.

To determine  if the truck can travel 48 miles with 6 gallons of fuel, we can compare the ratios of fuel consumption to distance traveled.

Given that the truck needs 7 gallons of fuel to travel 56 miles, we can express this as the ratio 7/56 (gallons/miles).

If we compare it to the second scenario where the truck is traveling 48 miles, we can express it as the ratio 6/48 (gallons/miles).

To check if they are proportional, we can cross-multiply: 7 * 48 = 6 * 56. If the cross-multiplication results in equal values, then the ratios are proportional.

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Answer:

C

Step-by-step explanation:

6/9 simplified is 2/3

Hope this helps

Answer:

1)  The functions are not inverses.

\(\textsf{2)} \quad g^{-1}(n)=&\dfrac{3}{8}n-\dfrac{7}{8}\)

\(\textsf{3)} \quad g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\)

Step-by-step explanation:

The inverse composition rule states that if two functions are inverses of each other, then their compositions result in the identity function.

Given functions:

\(g(x) = 4 + \dfrac{7}{2}x \qquad \qquad f(x) = 5 - \dfrac{4}{5}x\)

Find g(f(x)) and f(g(x)):

\(\begin{aligned} g(f(x))&=4+\dfrac{7}{2}f(x)\\\\&=4+\dfrac{7}{2}\left(5 - \dfrac{4}{5}x\right)\\\\&=4+\dfrac{35}{2}-\dfrac{14}{5}x\\\\&=\dfrac{43}{2}-\dfrac{14}{5}x\\\\\end{aligned}\)                 \(\begin{aligned} f(g(x))&=5 - \dfrac{4}{5}g(x)\\\\&=5 - \dfrac{4}{5}\left(4 + \dfrac{7}{2}x \right)\\\\&=5-\dfrac{16}{5}-\dfrac{14}{5}x\\\\&=\dfrac{9}{5}-\dfrac{14}{5}x\end{aligned}\)

As g(f(x)) or f(g(x)) is not equal to x, then f and g cannot be inverses.

\(\hrulefill\)

To find the inverse of a function, swap the dependent and independent variables, and solve for the new dependent variable.

Calculate the inverse of g(n):

\(\begin{aligned}y &= \dfrac{8}{3}n + \dfrac{7}{3}\\\\n &= \dfrac{8}{3}y + \dfrac{7}{3}\\\\3n &= 8y + 7\\\\3n-7 &= 8y\\\\y&=\dfrac{3}{8}n-\dfrac{7}{8}\\\\g^{-1}(n)&=\dfrac{3}{8}n-\dfrac{7}{8}\end{aligned}\)

Calculate the inverse of g(x):

\(\begin{aligned}y &= 1-2x^3\\\\x &= 1-2y^3\\\\x -1&=-2y^3\\\\2y^3&=1-x\\\\y^3&=\dfrac{1}{2}-\dfrac{1}{2}x\\\\y&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\\end{aligned}\)

Answer:

1.

If the composition of two functions is the identity function, then the two functions are inverses. In other words, if f(g(x)) = x and g(f(x)) = x, then f and g are inverses.

For\(\bold{g(x) = 4 + \frac{7}{2}x\: and \:f(x) = 5 -\frac{4}{5}x}\), we have:

\(f(g(x)) = 5 - \frac{4}{5}(4 + \frac{7}{2}x)\\ =5 - \frac{4}{5}(\frac{8+7x}{2})\\=5 - \frac{2}{5}(8+7x)\\=\frac{25-16-14x}{5}\\=\frac{9-14x}{5}\)

\(g(f(x)) = 4 + (\frac{7}{5})(5 - \frac{4}{5}x) \\=4 + (\frac{7}{5})(\frac{25-4x}{5})\\=4+ \frac{175-28x}{25}\\=\frac{100+175-28x}{25}\\=\frac{175-28x}{25}\)

As you can see, f(g(x)) does not equal x, and g(f(x)) does not equal x. Therefore, g(x) and f(x) are not inverses.

Sure, here are the inverses of the functions you provided:

2. g(n) = (8/3)n + 7/3

we can swap the roles of x and y and solve for y to find the inverse of g(n). In other words, we can write the equation as y = (8/3)n + 7/3 and solve for n.

y = (8/3)n + 7/3

n =3/8*( y-7/3)

Therefore, the inverse of g(n) is:

\(g^{-1}(n) = \frac{3}{8}(n - \frac{7}{3})=\frac{3}{8}*\frac{3n-7}{3}=\boxed{\frac{3n-7}{8}}\)

3. g(x) = 1 - 2x^3

We can use the method of substitution to find the inverse of g(x). We can substitute y for g(x) and solve for x.

\(y = 1 - 2x^3\\2x^3 = 1 - y\\x = \sqrt[3]{\frac{1 - y}{2}}\)

Therefore, the inverse of g(x) is:

\(g^{-1}(x) =\boxed{ \sqrt[3]{\frac{1 - x}{2}}}\)

Answer:

0.825

Step-by-step explanation:

To convert to lowest form, you have to shift the decimal place 2 places to the left.

Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).

In order to find the missing expression in Step 1, let's analyze the given steps and the final expression.

Step 1: ?

Step 2: -9 + 2 + 3

Step 3: -7 + 3

To find the missing expression in Step 1, we need to work backwards from Step 3 to Step 1.

In Step 3, the expression "-7 + 3" gives us a result of -4.

In Step 2, the expression "-9 + 2 + 3" gives us a result of -4.

So, the missing expression in Step 1 should also evaluate to -4 when performed correctly.

Let's check the available options:

[-10 + -1 + 2] + (2 + 3) = -11 + 2 + 5 = -4

[-8 - 1] + (2 + 3) = -9 + 5 = -4

[-10 + 1] + (2 + 3) = -9 + 5 = -4

[8 + 1] + (2 + 3) = 9 + 5 = 14

Out of the given options, only option 2, [-8 - 1] + (2 + 3), correctly evaluates to -4. Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).

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first, we can factorize the quadratic part

we will obtain 3 distinct real zeros

x=1

x=5

x=2

the correct answer is B

Answer:

the answer is 7600 because u evaluate 10 ^3 which is 10×10×10×7.6=7600

You will reject the null hypothesis for values of \(\bar p\) that correspond to z-scores less than -2.576 or greater than 2.576.

The power of your test to detect a wheel that actually lands on red 50% of the time is approximately 98.24%.

To answer the student question about the values of \(p^\) for which you will reject the null hypothesis and the power of

the test, we need to follow these steps:

1. State the null hypothesis and alternative hypothesis.

2. Calculate the test statistic.

3. Determine the critical values.

4. Calculate the power of the test.

The null hypothesis (H0) is that the proportion of reds is 9/19, and the alternative hypothesis (H1) is that the proportion

of reds is not 9/19.

H0: p = 9/19
H1: p ≠ 9/19

Calculate the test statistic, which is the z-score:

\(z = (\bar p - p) / \sqrt{((p \times (1 - p)) / n)\)

Where \(\bar p\) is the observed proportion, p is the expected proportion (9/19), and n is the number of spins (1000).

Determine the critical values for a 2% significance level. Since it is a two-tailed test, we need to find the critical z-values

corresponding to 1% in each tail.

Using a z-table or calculator, we find that the critical z-values are -2.576 and 2.576.

Calculate the power of the test to detect a wheel that lands on red 50% of the time. We need to find the probability of

rejecting the null hypothesis when it is false.

First, calculate the z-score for the alternative proportion (0.5) using the same formula:

\(z_{alt} = (0.5 - 9/19) / \sqrt{((9/19 \times (1 - 9/19)) / 1000)} \\\)

\(z_{alt}\) ≈ 2.38

Now, find the probability of observing a z-score more extreme than 2.38 or less than -2.38, assuming the null hypothesis is true. This can be done using a z-table or calculator:

Power = P(z < -2.38 or z > 2.38) ≈ 0.9824

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