Monique collects data from a random sample of seventh graders in her school and finds that 8 out of 16 seventh graders participate in​ after-school activities. Write and solve a proportion to estimate the number of seventh graders n who participate in​ after-school activities if 136 seventh graders attend​ Monique's school. Write the proportion used to solve this problem. Choose the correct answer below.

Answer: x = {-3, -1, 1, 7}

Step-by-step explanation:

f(x) = x⁴ - 4x³ - 22x² + 4x + 21

possible roots are: +/- 1, 3, 7, 21

Let's try x = 1

1  |  1     -4     -22       4       21

  |  ↓      1       -3     -25     -21

     1     -3      -25    -21       0     remainder is 0 so (x - 1) is a factor

(x - 1)(x³ - 3x² - 25x - 21)

Next, let's try x = -1

-1  |  1     -3     -25      -21

   |  ↓     -1        4        21

      1     -4      -21       0     remainder is 0 so (x + 1) is a factor

(x - 1)(x + 1)(x² - 4x - 21)

Then, factor the third polynomial

(x - 1)(x + 1)(x + 3)(x - 7)

Now, set each factor equal to zero and solve each one.

(x - 1) = 0    ⇒     x = 1

(x + 1) = 0   ⇒     x = -1

(x + 3) = 0   ⇒    x = -3

(x - 7) = 0   ⇒     x = 7

Answer:

-3, -1, 1, 7

Step-by-step explanation:

Evaluate the function at each x value in the choices. If the polynomial evaluates to zero, then that x value is a solution.

f(-3) = (-3)^4 - 4(-3)^3 - 22(-3)^2 + 4(-3) + 21 = 0

x = -3 is a solution

f(-1) = (-1)^4 - 4(-1)^3 - 22(-1)^2 + 4(-1) + 21 = 0

x = -1 is a solution

f(0) = (0)^4 - 4(0)^3 - 22(0)^2 + 4(0) + 21 = 21

x = 0 is not a solution

f(1) = (1)^4 - 4(1)^3 - 22(1)^2 + 4(1) + 21 = 0

x = 1 is a solution

f(3) = (3)^4 - 4(3)^3 - 22(3)^2 + 4(3) + 21 = -192

x = 3 is not a solution

f(7) = (7)^4 - 4(7)^3 - 22(7)^2 + 4(7) + 21 = 0

x = 7 is a solution

Answer:

the answer is 32.50

Step-by-step explanation:

I added the two totals and then multiplyed them by 5

Answer:

6.55

Step-by-step explanation:

Answer:

25.854

Step-by-step explanation:

We are given that

We have to find the given product.

To find the product we will remove the decimal.

In 2.78 when we remove the decimal then we write 100 in denominator because here is decimal after two digit from right  side.

In 9.3, when we remove the decimal then we write 10 in denominator because decimal after one digit from right side.

Multiply numerator with numerator and denominator with denominator

We write decimal after three digits from right side because denominator is 1000.

Hence,

Answer: 8,000 cents

Step-by-step explanation: To solve this problem, let's first begin by multiplying how rolls of quarters there are × how many quarters are in each roll.

Since there are 8 rolls of quarters and each roll contains 40 quarters, we multiply 8 × 40 and we get a product of 320.

Now, the question we should be asking ourselves is what is the total value of 320 quarters.

We know we have 320 quarters and each quarter is worth 25 cents so we just take 320 × 25 which gives us 8,000 cents.

The 320 represents our number of quarters, this 25 represents the value of each quarter, and this 75 represents their total value.

Answer: E; there is insufficient data to calculate the purportion of defective pieces for an entire day .

Step-by-step explanation:

if you are on plato unit 4 post test then just choose E figured i would give my plato family the answer the easier way just the answer