The polynomial function f(x) = -x^3 –x^2 + 4x +9 has one positive zero.
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Between what integers does this positive zero occur?

Answer:

The decimal point should be moved 4 places to the right

Step-by-step explanation:

38.75x10000= 387500

Answer:

a. The population is represented by the registered voters of the Raleigh city

b. The population size is 9,500

c. The sample size is 350

d. The proportion of people that voted for Brown was 32% >> (112 x 100) / 350 = 32%

e. The expected number of Brown's voters is 3,040 >>  (32 x 9,500) / 100 = 3,040

Step by step explanation:

In statistics, a population includes all the dataset from the study, while a sample is represented by one or more observations obtained from this dataset. The proportion can be represented by two fractions (ratios) which are equivalent to each other. Finally, the estimated size of the total population can be estimated by multiplication of the observed ratio in the sample and the size of the population (32 % x 9,500), and then dividing this number by the total ratio value.

Answer:

The sample mean is 15.

Step-by-step explanation:

We have given data 19, 15, 6, 11, 24.

We are required to find the sample mean. The sample mean can be determined by adding all the given value and then divide by the total numbers or how many numbers. Below is the calculation of the mean.

Sample mean = (19+ 15 +6 +11 +24) / 5

Sample mean = 75 / 5

Sample mean = 15

Therefore the sample mean of the given data is 15.

Answer: 18.18%

Step-by-step explanation:

First, let's calculate the surface area of the original piece of wood. The surface area (SA) of a rectangular prism is given by the formula:

\($$SA = 2lw + 2lh + 2wh$$\)

where \(\(l\)\) is the length, \(\(l\)\) is the width, and \(\(h\)\) is the height. For the original piece of wood, \(\(l = 10\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\).

After the piece of wood is cut in half, the length becomes 5 inches, but the width and height remain the same. So, for each of the two new pieces of wood, \(\(l = 5\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\). The total surface area of the two new pieces of wood is twice the surface area of one of the new pieces.

The percent increase in the total surface area is given by the formula:

\($$\text{Percent Increase} = \frac{\text{New Total SA} - \text{Original SA}}{\text{Original SA}} \times 100\%$$\)

Let's calculate these values.

The percent increase in the total surface area when the piece of wood is cut in half is approximately 18.18%.

Answer:

200 mph

Step-by-step explanation:

I think

Answer:

5

Step-by-step explanation:

\(\frac{15}{1}\) multiplied by \(\frac{1}{3}\)

which makes: \(\frac{15}{3}\)

simplify: 5

Mr Khumalo deposited R4 550,00 over the counter at Standard Bank, the service fee would be R10,50 + (R1,95 x 46) = R99,20.

According to the results, the cash deposit over the counter (branch deposit) services at Standard Bank includes a basic fee of R10,50 plus R1,95 per R100 or part thereof.

It is with a minimum charge of R46,00. Therefore, the minimum amount that a person can be charged for a cash deposit is R46,00.

For Mr. Khumalo's deposit of R4 550,00, the service fee would be R10,50 + (R1,95 x 46) = R99,20.

Thus, the service charge will be R99,20.

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The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

Answer:

Step-by-step explanation:] Answer would be 400%

New value - Original Cost

         Original value

= 20 - 4/4

= 16/4

= 4 x 100

= 400%

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

20 diagnols

Step-by-step explanation:

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

Answer:

535,095 different samples of size six that contain exactly 2 defective parts.

0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.

Step-by-step explanation:

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

As the order of the parts is not important, the combinations formula is used to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

How many different samples are there of size six that contain exactly 2 defective parts?

2 defective from a set of 3, and 4 non-defective from a set of 47. So

\(D = C_{3,2}*C_{47,4} = \frac{3!}{2!1!}*\frac{47!}{4!43!} = 535095\)

535,095 different samples of size six that contain exactly 2 defective parts.

What is the probability that a sample contains exactly 2 defective parts?

The total number of samples is:

\(T = C_{50,6} = \frac{50!}{6!44!} = 15890700\)

Then...

\(p = \frac{D}{T} = \frac{535095}{15890700} = 0.0337\)

0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.

Answer:

Its row 4 I hope this helps luv <3

Su fila 4 Espero que esto ayuda a luv <3

Answer:

poop lol

Step-by-step explanation:

8/21 of the lawn still needs to be mowed.

To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.

Miss Lianto's fraction: (2/7) x (3/3) = 6/21

Son's fraction: (1/3) x (7/7) = 7/21

To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:

Combined fractions mowed: 6/21 + 7/21 = 13/21

So, Remaining fraction: 1 - 13/21 = 8/21

Therefore, 8/21 of the lawn still needs to be mowed.

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Answer:

\(m=-1\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph

Point (0, 0)

Point (-10, 10)

Step 2: Find slope m

Answer:

120⁰

Step-by-step explanation:

the top number shows the degrees

Answer:120 degrees (that's the answer

Step-by-step explanation:

\(~~\left(8x^7y^4\right)^{\tfrac 23}\\\\=\left[ \left(8x^7y^4\right)^2 \right]^{\tfrac 13} \\\\=\left(64x^{14}y^8 \right)^{\tfrac 13}\\\\=\left(64 \right)^{\tfrac 13} \cdot \left( x^{14} \right)^{\tfrac 13} \cdot \left(y^8 \right)^{\tfrac 13}\\\\=\left(4^3 \right)^{\tfrac 13} \cdot \left(x^{12}\cdot x^2\right)^{\tfrac 13} \cdot \left(y^6 \cdot y^2 \right)^{\tfrac 13}\\\\=4 x^4 \cdot \left(x^2 \right)^{\tfrac 13} \cdot y^2 \cdot \left(y^2 \right)^{\tfrac 13}\\\\\)

\(=4x^4y^2 \left(x^2 y^2 \right)^{\tfrac 13}\\\\=4x^4y^2 \sqrt[3]{x^2 y^2}\)

Answer:

11/15 of  the trail

Step-by-step explanation:

Step one:

given data

She ran 2/5 of the trail on Monday

Then ran a different 1/3 of the trail on Tuesday

Required

The total distance covered for Monday and Tuesday

Step two:

Total= 2/5+1/3

lcm= 15

Total= 6+5/15

Total= 11/15

Answer:

you know i say ummm bout 10

log1000(10) = x does not belong. This is because it does not have a real solution, while the other options (a, c, and d) have valid solutions.

The correct answer is option B.

To determine which one of the given options does not belong, we need to evaluate each option and compare them based on their properties and mathematical relationships.

a) log(1/1000) = x

Using the logarithmic property that log(a) = -log(1/a), we can rewrite this equation as:

log(1/1000) = log(\(1000)^(^-^1^)\)

log(1/1000) = log(\(1000)^(^-^1^)\)) = -3

b) log1000(10) = x

This equation can be rewritten as:

log base 1000 (10) = x

Here, the logarithm is asking for the power to which 1000 should be raised to obtain 10. Since 10 is not a power of 1000, this equation does not have a real solution. Therefore, this option does not belong.

c) (10³) = x

This equation represents 10 raised to the power of 3, which is equal to 1000. Therefore, x = 1000.

d) log(1000) = x

Using the logarithmic property that log base 10\((10^x)\) = x, we can rewrite this equation as:

log(1000) = log\((10^3)\) = 3

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Answer:

Leading term: 8n⁵

Leading coefficient : 8

Constant: -2

Step-by-step explanation:

Leading term is the term with highest degree.

 Here the highest degree is 5. so 8n⁵ is the leading term

Leading coefficient is the coefficient of the leading term.

Constant is the term without any variable.

Mary paid Social Security tax of $4,378.325 in 2000. This is calculated by multiplying 7.5% by the amount of income over the maximum taxable income of  $4,378.325.

The theory used in this question is the marginal tax rate, which is the tax rate that applies to the income earned over the maximum taxable income. In this case, the marginal tax rate is 7.5%, which is the Social Security tax rate.

Step 1: Calculate the amount of income over the maximum taxable income.

Maximum taxable income: $53,000

Income earned: $61,711

Amount of income over the maximum taxable income: $8,711 ($61,711 - $53,000 = $8,711)

Step 2: Calculate the Social Security tax.

Social Security tax rate: 7.5%

Amount of income over the maximum taxable income: $8,711

Social Security tax paid: $4,378.325 ($8,711 x 0.075 = $4,378.325)

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a) The null hypothesis is that there is no difference in the proportion of homeowners using water filters among the three communities. The alternative hypothesis is that at least one community has a different proportion of homeowners using water filters than the other communities.

b) To calculate the expected count for the bottom right cell, we can use the formula:

Expected count = (row total x column total) / grand total

The row total for Community C and the column total for No are both 100, and the grand total is 300. Therefore:

Expected count = (100 x 100) / 300 = 33.33

The expected count of 33.33 for the bottom right cell means that if there were no difference in the proportions of homeowners using water filters among the three communities, we would expect 33.33 of the 100 homeowners in Community C to answer 'No' to the question about water filters.

c) To determine what we can conclude from the Chi-square statistic of 13.22, we need to compare it to the critical value for a Chi-square distribution with (3-1) x (2-1) = 2 degrees of freedom at the desired level of significance. Let's assume a level of significance of 0.05. From a Chi-square distribution table, the critical value with 2 degrees of freedom at 0.05 level of significance is 5.99.

Since 13.22 is greater than 5.99, we can reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners using water filters among the three communities. However, we cannot determine from this test alone which communities have different proportions of homeowners using water filters. We would need to conduct further tests, such as post-hoc tests, to investigate the specific differences among the communities.

The area and perimeter of the parallelogram are: 56 square units and 30 units respectively

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The parameters that will help us do the math are

base = 7

height = 8

Area = 8*7 = 56 square units

perimeter 2b + 2h

perimeter = 2*7 + 2*8

= 14 +16

P = 30 units

Therefore, the perimeter of the parallelogram and area are 30 units and 56 square units

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the number that Grace thought:

We'll represent the unknown number as "x."

"Added 7": This can be represented as (x + 7).

"Multiplied by 3": This becomes 3 * (x + 7).

"Took away 5": This is represented as 3 * (x + 7) - 5.

"Divided by 4": This gives (3 * (x + 7) - 5) / 4.

"To give an answer of 7": The equation is (3 * (x + 7) - 5) / 4 = 7.

Now we can solve for x:

(3 * (x + 7) - 5) / 4 = 7

Multiply both sides by 4 to eliminate the denominator:

3 * (x + 7) - 5 = 28

Simplify the left side:

3x + 21 - 5 = 28

Combine like terms:

3x + 16 = 28

Subtract 16 from both sides:

3x = 12

Divide both sides by 3:

x = 4

Therefore, the number that Grace thought of is 4.

Answer:

C. 1/10

Step-by-step explanation: