How many combinations are possible? Assume the items are distinct.9 items chosen 7 at a time________ combinations

Answer:

depends on the rate you work and how much you make during that time

Step-by-step explanation:

Answer:

just depends on how long and or how slow u go

Step-by-step explanation:

Answer: B

I took the quiz

Answer:

(−3, 2); 2 ≤ y < ∞

Step-by-step explanation:

I literally took the test hours ago

Answer:

8.8 grams

...................

The required 88 Decigrams equals 8.8 grams.

Given that,
To determine 88 Decigrams equals 8.8.

All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.

Fraction is defined as the number of compositions that constitutes the Whole.

here,
10 decigram = 1 gram
88 decigram = 8.8 gram

Thus, the required 88 Decigrams equals 8.8 grams.

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Answer:

f(-2) = -12

Step-by-step explanation:

f(x)= x² + 8x

We want to find f(-2)

f(-2) = (-2)² + 8(-2)

Apply exponent : (-2)² = 4

f(-2) = 4 + 8(-2)

multiply 8 and - 2 : 8 * -2 = -16

f(-2) = 4 - 16

subtract 16 from 4 : 4 - 16 = -12

f(-2) = -12

Step-by-step explanation:

f(-2) = (-2)² + 8(-2) = 4 - 16 = -12

Answer:

hope it helps you........

Answer:

x = 5

Step-by-step explanation:

1. Subtract 22 from both sides.

15x = 7x + 62 - 22

2. Simplify 7x + 62 - 22 to 7x + 40.

15x = 7x + 40

3. Subtract 7x from both sides.

15x - 7x = 40

4. Simplify 15x - 7x to 8x.

8x = 40

5. Divide both sides by 8.

x = \(\frac{40}{8}\)

6. Simplify \(\frac{40}{8}\) to 5.

x = 5

This choice satisfies the equation h(x) = f(g(x)), where h(x) = sin(x) and f(x) = cos(x).

To determine the function g(x) that satisfies the equation h(x) = f(g(x)), we need to find the appropriate expression for g(x) that results in the given compositions of functions.

h(x) = sin(x)

f(x) = cos(x)

Let's substitute these values into the equation h(x) = f(g(x)):

sin(x) = cos(g(x))

To find the correct expression for g(x), we need to solve for g(x) by equating the corresponding trigonometric functions.

We know that sin(x) and cos(x) are related by a phase shift of π/2. This means that the argument of cos(x) must be equal to the argument of sin(x) plus π/2.

Comparing the given equation sin(x) = cos(g(x)), we can conclude that:

g(x) = x + π/2

Therefore, among the given options, the correct choice is:

C) g(x) = π/2 + x

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Answer:

HGI=EFG because its the same, its just flipped.

The answer is the opposite of 104°.  The negative inverse of 104° is -104° I think.

HGI is -140°.

EFG is 140°.

Pythagoras's theorem provides a simplification of thee relationship between the sides of a right triangle

Reason:

Known parameters:

Length of the diagonal of the television picture, d = 10 cm

Television screen viewing area, A = 48 cm²

Required:

To find the length and width of the screen

Solution:

Let, L, represent the length of the screen, and let W represent the width of the screen

Considering the right triangle formed by the length, L, the width, W, and a line along the diagonal, d, according to Pythagoras's theorem, we have;

d² = L² + W²

The equation for the area of the screen is A = L × W

Plugging in the known values into the two equations above gives;

10² = L² + W²...(1)

48 = L × W...(2)

From equation (2), we have;

\(W = \dfrac{48}{L}\)...(3)

By substituting the expression for W in equation (3) above into equation (1) gives;

\(10^2 = \left(\dfrac{48}{L} \right)^2 + L^2 = \dfrac{48^2}{L^2} + L^2\)

10²·L² = 48² + L²⁺² = 48² + (L²)²

Let X represent L², we get;

X = L²

10²·X = 48² + X²

X² - 10²·X + 48² = 0

(X - 64)·(X - 36) = 0

∴ X =  L² = 64 or 36

The longest side is the length, therefore, the length of the screen, L = 8 cm

From \(W = \dfrac{48}{L}\), and L = 8, we have;

The width of the screen, W = 6 cm

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Answer:

because it doesn't pass the verticle line test

Step-by-step explanation:

There can be 90% confident that the population mean salary of college graduates who took a statistics course is between $60,947.78 and $66,652.22.

To construct a 90% confidence interval for estimating the population means μ of salaries for college graduates who took a statistics course, we can use the formula:

Confidence interval = sample mean ± (critical value) x (standard error)

First, we need to find the critical value from the t-distribution table with a degree of freedom of n-1. Since we have 49 college graduates, our degrees of freedom are 48. Looking at the table, the critical value for a 90% confidence level is 1.677.

Next, we need to find the standard error, which is calculated by dividing the standard deviation by the square root of the sample size. In this case, the standard error is $11,936/sqrt(49) = $1703.05.

Substituting these values into the formula, we get:

Confidence interval = $63,800 ± 1.677 x $1703.05
Confidence interval = $63,800 ± $2852.22

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Answer:

f(1) - 1 = -3

Step-by-step explanation:

Step 1: Find f(1)

f(1) = -3(1) + 1

f(1) = -3 + 1

f(1) = -2

Step 2: Find f(1) - 1

f(1) - 1 = -2 - 1

f(1) - 1 = -3

SOLUTION

The given line passes through the points:

The slope of the line is calculated using:

Using the points the slope is:

The slope of the line is:

If you don’t need any further explanation, I’ll go ahead and end our session. Remember the answer is saved in your profile.

Answer:

2 feet

Step-by-step explanation:

12 feet in 6 minutes. 12/6=2

Let's start by using the formula for the perimeter of a rectangle:

Perimeter = 2(length + width)

We know that the perimeter is 84 inches, so we can plug that in and simplify:

84 = 2(length + width)

42 = length + width

We also know that the length is 18 inches longer than the width, so we can use that information to write:

length = width + 18

Now we can substitute this into the equation we just derived:

42 = (width + 18) + width

42 = 2width + 18

24 = 2width

width = 12

So the width of the rectangle is 12 inches. We can use this to find the length:

length = width + 18

length = 12 + 18

length = 30

Therefore, the length of the rectangle is 30 inches.

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So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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Answer:

0.024

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Suppose the true proportion of high school juniors who skateboard is 0.18.

This means that \(p = 0.18\)

Samples of 250 high school juniors are taken

This means that \(n = 250\)

By how much would their sample proportions typically vary from the true proportion?

This is the standard error, so:

\(s = \sqrt{\frac{p(1-p)}{n}}\)

\(s = \sqrt{\frac{0.18*0.82}{250}}\)

\(s = 0.024\)

So 0.024 is the answer.

Answer:

  examine the next digit and increase the number accordingly, before dropping the digits of no interest.

Step-by-step explanation:

You round any number by looking at the digit in the place to the right of the one you want to round to. If it is 5 or more, you add 1 to the number in the place you're rounding to, and drop (or zero) all digits to the right of that.

If you want to round this to tenths, you observe that the hundredths digit is 7, which is more than 4. So you add 1 tenth and drop the hundredths digit:

  99.87 ≈ 99.9 . . . . rounded to tenths

If you want to round this to units, you observe that the tenths digit is 8, which is more than 4. So you add 1 unit and drop the tenths and hundredths digits.

  99.86 ≈ 100 . . . . . rounded to nearest integer

The coordinates of the point on the graph of is (-4,2).

A function is defined as the relationship between input and output, where each input has exactly one output. The inputs are the elements in the domain and the outputs are elements in the co-domain.

If -4 is a solution of the equation f(x) = 2,

When giving the input as  -4 the output will be 2.

Thus these can be written in ordered pair as (-4,2).

Hence, the coordinates of the point on the graph of is (-4,2).

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The slope of the line y = 5x + 4 is 5.

Slope i.e. m = 5.

Given, a line of equation

y = 5x + 4

We have to find the slope of the given line,

Now, as we know the slope-intercept form of a line i.e.

y = mx + c

where, m is the slope of the line and c is the y-intercept of the line.

So, using the same form in the line, we get

y = 5x + 4

the slope of the line is 5.

Hence, the slope of the line y = 5x + 4 is 5.

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Answer:

$254

$30 + $14x

Step-by-step explanation:

Jayden:

Guaranteed wage= $30

Tips per table = $14

Number of tables = 16

Total revenue = fixed revenue + variable revenue

Fixed revenue= $30

Variable revenue change with quantity= $14 × number of tables Jayden waits on

Total earnings of Jayden for the day = $30 + $14(16)

= $30 + $224

= $254

When Jayden waits on x number of tables

Total earnings of Jayden for the day = $30 + $14(x)

= $30 + $14x

Where x = number of tables Jayden waits on

Answer:

$254

30 + 14t

Step-by-step explanation:

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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The value of the numerical expression \(\sqrt{ 288 \times \left (\frac{2}{3}\right) \times \left (\frac{1}{3}\right)}\) will be 8.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The statement is given as "the square root of the product of 288 and two-thirds and one-third​".

Then the expression is written as,

\(\rightarrow \sqrt{ 288 \times \left (\dfrac{2}{3}\right) \times \left (\dfrac{1}{3}\right)}\)

Simplify the expression, then we have

⇒ √(576 / 9)

⇒ 24 / 3

⇒ 8

The value of the numerical expression \(\sqrt{ 288 \times \left (\frac{2}{3}\right) \times \left (\frac{1}{3}\right)}\) will be 8.

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Percent decrease from 100 to 82 is 18% decrease.

Calculating the % decrease from 100 to 82,

\(\frac{82-100}{100}\)×100%

\(\frac{-18}{100}\)×100%

on simplifying we get,

-18%

here, negative sign indicates that there is a decrease of percentage.

Hence, we get 18% decrease from 100 to 82.

How to calculate Percent decrease?

Do the % growth and reduction calculations. By dividing the new number by the initial value, the percentage is computed.

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Answer:

18.6 inches

Step-by-step explanation:

simple

The probability that a randomly selected American plans to stay home or travel by car over the next holiday weekend given the information that 9.35% of Americans plan to travel by car and 88.6% plan to stay home. The probability of staying home or traveling by car over the next holiday weekend is given by the addition of probabilities of these events.

P(stay home or travel by car) = P(stay home) + P(travel by car)P(stay home or travel by car) = 0.886 + 0.0935P(stay home or travel by car) = 0.9795Therefore, the probability that a randomly selected American plans to stay home or travel by car over the next holiday weekend is 0.9795.

The value of probability does not equal 1 because some Americans traveled by other means.

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To prove that the group g is cyclic, we analyze the possible values of the order |g|. We consider the cases for each possible value and demonstrate that in all cases, g is either cyclic or leads to a contradiction.

For |g| = 1, 2, 3, 5, or 7, the groups of these orders are always cyclic.

If |g| = 4, 6, 8, 9, 10, 12, or 15, we show that g cannot have the required subgroups. Assuming g is not cyclic, we find an element x of order 2 and additional elements y, z, w, etc., also of order 2. This contradicts the given conditions since g would be isomorphic to Z₂ × Z₂ or have more than one subgroup of order 3 or 5.

For composite orders |g| = pq, where p and q are prime, we generalize the analysis. By Cauchy's theorem, g has elements of order p and q, and since there is only one subgroup of each order, they are cyclic. We show that the intersection of these subgroups cannot have an order of pq, leading to a contradiction. Hence, g is cyclic.

Therefore, in all cases, g is proved to be cyclic. QED.

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Answer:

The answer is b

Step-by-step explanation:

(4x+5)(16^2-20x+25)