There are

the seats are chosen

ways that 4 seats can be left empty in the auditorium. This is a

important.

Answer:

**Answer:**

5773185

**Step-by-step explanation:**

There are 110 seats

110 ways to choose the first empty seat

Now there are 109 seats

109 ways to choose the next empty seat

Now there are 108 seats

108 ways to choose the next empty seat

Now there are 107 seats

110*109*108*107=138556440

Now the order of the empty seats doesn't matter so we need to divide by 4!

138556440/ 4!

138556440/ 24

5773185

Answer:
### Final answer:

### Explanation:

### Learn more about combinations here:

In this mathematics problem, we are asked to determine the number of ways that 4 seats can be left empty in a high school auditorium that seats 110 people. We can use the concept of **combinations** to solve this.

In this **problem**, we are asked to determine the number of ways that 4 seats can be left empty in a high school auditorium that seats 110 people. To solve this, we can use the concept of combinations. The total number of ways to choose 4 seats out of 110 is represented by the combination formula: C(110, 4). To calculate this, we can use the formula: C(n, r) = n! / (r!(n - r)!), where n is the total number of seats and r is the number of seats left empty. Plugging in the values, we have C(110, 4) = 110! / (4!(110 - 4)!).

Using a calculator, we can simplify this expression and calculate the answer.

#SPJ12

PLEASE PLEASE PLEASE HELP

A number line going from negative 10 to positive 10. A point is at negative 6.What is the opposite of the graphed integer?The opposite is .

zoe has earned 650$ during the four weeks she worked at the rec center. the first 2 weeks she earned 220$ and 98$. the last 2 weeks she earned the same amount. how much money did zoe earn in the last 2 weeks

Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price. What was the cost for 111 comic books?

Write the equation of each line in slope-intercept form.(If possible please show work)

A number line going from negative 10 to positive 10. A point is at negative 6.What is the opposite of the graphed integer?The opposite is .

zoe has earned 650$ during the four weeks she worked at the rec center. the first 2 weeks she earned 220$ and 98$. the last 2 weeks she earned the same amount. how much money did zoe earn in the last 2 weeks

Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price. What was the cost for 111 comic books?

Write the equation of each line in slope-intercept form.(If possible please show work)

It would take 10.5 minutes

The **area** of the stop sign which is an **octagon** is 744 square inches.

Option C is the correct answer.

We have,

To find the **area** of the stop sign, we can use the formula for the area of a regular polygon:

Area = (1/2) × perimeter × apothem

The perimeter of the stop sign is 8 × 12.4 = 99.2 inches.

Using the given apothem of 15 inches, we can plug in the values and calculate:

Area = (1/2) × 99.2 × 15

**Area** = 744 square inches

Therefore,

The **area** of the stop sign is 744 square inches.

Learn more about **octagons** here:

#SPJ7

Answer:744 square inches

Step-by-step explanation:

Just did it it correct trust me

**Answer:**

22.2653 or 22.27

**Step-by-step explanation:**

hope this helps

**Answer: 22.265**

**Step-by-step explanation: 4.201x5.3 = 22.265**

Let y = f(x)

f(x) = sin x

g(x) = (2x^2 + 3x - 4)

Use the chain rule.

We want y' = f' (g(x)) • g'(x).

y' = cos(2x^2 + 3x - 4) • (4x + 3)

Done.

**Answer:**

- 1 root in the right half-plane
- 1 conjugate pair on the imaginary axis
- 2 roots in the left half-plane

**Step-by-step explanation:**

Without using the Routh-Hurwitz criterion at all, you know there is one positive real root. Descartes' rule of signs tells you the number of positive real roots is equal to the number of sign changes in the coefficients (perhaps less a multiple of 2). There is one sign change in + + + + - - , so there is one positive real root.

_____

**(a)** The Routh array starts as two rows of the polynomial's coefficients, alternate coefficients on each row. For this odd-degree polynomial, the number of coefficients is even, so no zero-padding is necessary at the right end of the second row. That is, we start with ...

The next row is formed from combinations of coefficients in the two rows above. The computation is similar to that of a determinant. By matching the numbers to those in the array, you can see the pattern of the computation.

The next row values are ...

Simplifying, we find this row to be ...

The zero row is a special case that requires we proceed as follows. The row above (identified with s⁴) represents an "auxiliary polynomial":

To continue the process, we replace the zero row by the coefficients of the derivative of this auxiliary polynomial. Proceeding as before, the array now becomes ...

The number of sign changes in the first column (1) tells the number of roots in the right half-plane. The auxiliary polynomial will give us the remaining two pairs of roots:

So, we have determined there to be ...

**1 root in the right half-plane****2 roots on the jω axis****2 roots in the left half-plane**

__

**(b)** The original polynomial can be factored as ...

p(s) = (s +2)(s² +25)(s +1)(s -1)

p(s) = (s +2)(s +1)(s -5i)(s +5i)(s -1)

This verifies our result from part (a).

_____

*Additional comments*

Any row can be multiplied by a convenient factor to simplify the arithmetic. Here, it would be convenient to divide the second row by 2 and the third row by 8.

A zero *element* (not row) in the first column is replaced by "epsilon" (a small positive number) and the rest of the arithmetic is continued as normal. That row is not counted (it is ignored) when counting sign changes in the first column.

Answer:

Step-by-step explanation:

This is a test of a single population mean since we are dealing with mean.

From the information given,

Null hypothesis is expressed as

H0:μ=1.5

The alternative hypothesis is expressed as

Ha:μ>1.5

This is a right tailed test

The decision rule is to reject the null hypothesis if the significance level is greater than the p value and accept the null hypothesis if the significance level is less than the p value.

p value = 0.052

Significance level, α = 0.05

Since α = 0.05 < p = 0.052, the true statement would be

At the α=0.05 significance level, you have proven that H0 is true. B.