I need help on my math work.

What is the quotient of 4 and 24? This is easy to answer if you know the different parts of a division problem.

Division is breaking something up into equal parts. The Dividend is the whole you start with, the Divisor is what you use to divide up the whole, and the Quotient is the answer like this:

Dividend ÷ Divisor = Quotient

So when you ask, "What is the quotient of 4 and 24?", it makes sense that 4 is the Dividend, 24 is the Divisor, and you want to know the Quotient. Thus, the answer is:

4 ÷ 24 = 0.166667

Note: The answer (quotient) is rounded up to six decimal points if necessary.

Answer:

1/6p + 1/5

Step-by-step explanation:

Hope this helps! Pls give brainliest!

The correct value of k that makes f(x) a valid pdf is k = 1/2, not k = 3/8 as mentioned in the previous interpretation.

to find the value of k that makes the function f(x) a valid probability density function (pdf), we need to ensure that the function satisfies two conditions:

1. the integral of f(x) over its entire domain must equal 1.2. f(x) must be non-negative for all values of x.

given the function:

f(x) = {    kx  if 0 < x < 2,

   0   otherwise}

to find k, we need to calculate the integral of f(x) from 0 to 2 and set it equal to 1:

∫[0 to 2] (kx) dx = 1

integrating kx with respect to x gives:

[kx²/2] [0 to 2] = 1evaluating the integral at the limits of integration:

[k(2)²/2] - [k(0)²/2] = 1simplifying further:

(4k/2) - (0/2) = 12k = 1

k = 1/2

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

0.7 is a rational number.

Because it is a terminating decimal expansion.

Answer:

The decimal 0.7 is a rational number. It is read as seven tenths and is equivalent to the fraction 7/10. Since it can be written as a fraction

Answer:

If you were to use the sine formula you would have to use the cosine formula to get one of the opposite sides and then use the sine formula.

For the area why not use 1/2 * 20 to get the base.

Then the height would be 24 * sin 63 = 21.38

That would give an area of 213.8

Answer: To solve this problem, we can use the Central Limit Theorem. The Central Limit Theorem states that the distribution of sample means from a large enough sample follows a normal distribution, regardless of the shape of the population distribution, as long as the sample size is sufficiently large.

Given:

Mean diameter of steel bolts = 130 millimeters

Standard deviation = 6 millimeters

Sample size = 49

Sample mean we are interested in = 132.3 millimeters

To calculate the probability that the sample mean would be greater than 132.3 millimeters, we need to calculate the z-score and then find the corresponding probability from the standard normal distribution table.

First, we calculate the standard error (SE) using the formula:

SE = Standard deviation / √(Sample size)

SE = 6 / √49

SE = 6 / 7

SE ≈ 0.8571

Next, we calculate the z-score using the formula:

z = (Sample mean - Population mean) / SE

z = (132.3 - 130) / 0.8571

z ≈ 3.0995

Using the z-score table or a calculator, we find that the probability corresponding to a z-score of 3.0995 is approximately 0.9987.

Therefore, the probability that the sample mean would be greater than 132.3 millimeters is approximately 0.9987 (or 99.87% when rounded to four decimal places).

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

To know more about Convenience purchases:

https://brainly.com/question/30247858

#SPJ4

Answer:

equal to rolling an odd number

Step-by-step explanation:

fair number cube is your average 6 side die

even numbers = 2,4,6

odd numbers = 1,3,5

total sides=6

even number probability = 3/6

odd number probability = 3/6

Answer:

The number of trucks required is 17.

Step-by-step explanation:

28.5 kilograms can be transported in a van. How many trucks are needed to transport 484.5 Kg?

For the transportation of 28.5 kg, one truck is required.

Total mass = 484.5 kg

The number of trucks required is

n = total mass/ mass of one

\(n=\frac{484.5}{28.5}\\\\n = 17\)

Answer:

156 ft

Step-by-step explanation:

area formula is:

length x width

(A= l*w)

12 x 13 = 156

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Answer:

twelv

Step-by-step explanation:

12

Answer:

12

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 8 on the left side and the dividend 96 on the right side like this:

8 ⟌ 9 6

Step 2:

The divisor (8) goes into the first digit of the dividend (9), 1 time(s). Therefore, put 1 on top:

1

8 ⟌ 9 6

Step 3:

Multiply the divisor by the result in the previous step (8 x 1 = 8) and write that answer below the dividend.

1

8 ⟌ 9 6

8

Step 4:

Subtract the result in the previous step from the first digit of the dividend (9 - 8 = 1) and write the answer below.

1

8 ⟌ 9 6

- 8

1

Step 5:

Move down the 2nd digit of the dividend (6) like this:

1

8 ⟌ 9 6

- 8

1 6

Step 6:

The divisor (8) goes into the bottom number (16), 2 time(s). Therefore, put 2 on top:

1 2

8 ⟌ 9 6

- 8

1 6

Step 7:

Multiply the divisor by the result in the previousy step (8 x 2 = 16) and write that answer at the bottom:

1 2

8 ⟌ 9 6

- 8

1 6

1 6

Step 8:

Subtract the result in the previous step from the number written above it. (16 - 16 = 0) and write the answer at the bottom.

1 2

8 ⟌ 9 6

- 8

1 6

- 1 6

0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 96 divided by 8 calculated using Long Division is:

12

0 Remainder

Answer:

Vertex form is f(t) = 4 \((t-1)^{2}\) +3 and vertex is (1, 3).

Step-by-step explanation:

It is given that f(t)= 4 \(t^{2}\) -8 t+7

Let's use completing square method to rewrite it in vertex form.

Subtract both sides 7

f(t)-7 = 4 \(t^{2}\) -8t

Factor the 4 on the right side.

f(t) -7 = 4( \(t^{2}\) - 2 t)

Now, let's find the third term using formula \((\frac{b}{2} )^{2}\)

Where 'b' is coefficient of 't' term here.

So, b=-2

Find third term using the formula,

\((\frac{-2}{2} )^{2}\) which is equal to 1.

So, add 1 within the parentheses. It is same as adding  4 because we have '4' outside the ( ). So, add 4 on the left side of the equation.

So, we get

f(t) -7 +4 = 4( \(t^{2}\) -2 t +1)

We can factor the right side as,

f(t) -3 = 4 \((t-1)^{2}\)

Add both sides 3.

f(t) = 4\((t-1)^{2}\) +3

This is the vertex form.

So, vertex is (1, 3)

Starting from the given system of equations:

Since the variable y is already isolated in the second equation, we can use the substitution method to solve the system.

Replace y by 7x on the first equation:

Then. substitute the value x=1 back into the second equation to find the value of y:

Therefore, the solution for this system of equations is:

EXPLANATION

The player tries to throw a disc into the metal basket, so the targets that are closest togheter are represented by the BC segment because it has the closest angle and path.

The angle CBD is equal to 64 degrees by sum of interior angles definition. Furthermore, angle CBD is congruent to angle ABD.

The angle DAB is equal to 56 degrees.

In order to get an angle DAB equal to 56 degrees, the point A must be further away.

So, the only triangle that can satisfy the condition is the △BCD.

The point D is not an option because it is farther away from B and D because it has a closest angle.

So, the answer is the segment BC.

The value of x that would make triangle ABC a right triangle is x= 2. The justification is that the product of the slopes of two perpendicular lines is -1/2, and when the points are plugged into the distance formula, the sides satisfy the Pythagorean theorem.

To determine a value of x that would make triangle ABC a right triangle, we need to check if the square of the length of any two sides equals the square of the length of the third side.

We can use the distance formula to find the lengths of the sides of the triangle

AB = √((x + 3)² + 4²)

BC = √(2² + 3²)

CA = √((x + 1)² + 1²)

To make triangle ABC a right triangle, we need to find a value of x that satisfies the Pythagorean theorem

AB² + BC² = CA²

[(x + 3)² + 4²] + [2² + 3²] = [(x + 1)² + 1²]

Simplifying this equation yields

x² + 2x - 8 = 0

Solving for x, we get

x = 2 or x = -4

So, if x = 2 or x = -4, then triangle ABC is a right triangle.

To justify this, we can find the slopes of the line segments connecting the vertices of the triangle

mAB = (3 - (-1)) / (x - (-3)) = 4 / (x + 3)

mBC = (-4 - (-1)) / (-1 - (-3)) = -3/2

mCA = (3 - (-4)) / (x + 1 - (-1)) = 7 / (x + 2)

When x = 2, we get

mAB = 4/5

mBC = -3/2

mCA = 7/3

mAB * mBC = -2/5

mBC * mCA = -7/6

mCA * mAB = 14/15

when x = 2, triangle ABC is right triangle.

When x = -4, we get

mAB = 4/(-1) = -4

mBC = -3/2

mCA = 7/(-3) = -7/3

mAB * mBC = 6

mBC * mCA = 14/3

mCA * mAB = 7/2

when x = -4, triangle ABC is not a right triangle.

To know more about Pythagorean theorem:

https://brainly.com/question/14930619

#SPJ4

Answer:

26

Step-by-step explanation:

(5 * 7) - 9

35 - 9

26

Hope that helps

Answer:

\((2x - 1)(x + 3) = \)

\(2 {x}^{2} + 5x - 3\)

A = 2, B = 5, C = -3

There are 210 different samples of 4 apples that can be chosen from the bag.

a. to find the number of different samples of 4 apples that can be chosen from the bag of 10 apples, we use the combination formula:

n choose k = n! / (k!(n-k)!)

where n is the total number of apples (10), and k is the number of apples chosen for the sample (4).

so the number of different samples of 4 apples that can be chosen from the bag of 10 apples is:

10 choose 4 = 10! / (4! * 6!) = 210 b. to find the number of samples that contain all good apples, we need to choose 4 apples from the 7 good apples in the bag. this can be done using the combination formula:

7 choose 4 = 7! / (4! * 3!) = 35

so there are 35 different samples that contain all good apples.

c. to find the number of samples that contain at least 1 rotten apple, we can use the complement rule, which says that the probability of an event happening is 1 minus the probability of the event not happening. in this case, we can find the number of samples that do not contain any rotten apples, and then subtract that from the total number of samples found in part a.

to find the number of samples that do not contain any rotten apples, we need to choose 4 apples from the 7 good apples in the bag. this can be done using the combination formula as in part b:

7 choose 4 = 35

so there are 35 different samples that do not contain any rotten apples.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

Answer:

Step-by-step explanation:

y=X-2

The number of ways cans a president, vice president, and secretary be chosen from a committee of 9 people, assuming one person cannot hold more than one position, is 84.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

A president, vice president, and secretary be chosen from a committee of 9 people,

Calculate the number of ways by using the combination as shown below,

\(N = 9C_3\)

Here, N is the number of ways,

N = 9! / [3!(9-3)!]

N = 9! / [3!6!]

N = 84

To know more about the combination:

https://brainly.com/question/29594894

#SPJ1

Answer:

No, the student is not correct. The correct expression is 9(n+13).

Step-by-step explanation:

"9 times the sum of a number and 13" means you must multiply 9 by the sum, not just by the number. 9n + 13 would be "the sum of 9 times a number and 13." Slightly different wording.

Answer:

Sample Response: The student is not correct. He should use parentheses like this 9(n+13). Without the parentheses, it means nine times n plus 13, but should be the sum of n plus 13 multiplied by 9.

In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable, which is manipulated in order to observe its effect on the dependent variable.

In the analysis of variance procedure (ANOVA), factor refers to:
b. the independent variable

In ANOVA, a factor is an independent variable that is manipulated or controlled to investigate its effect on the dependent variable. Different levels of a factor represent the variations in the independent variable being tested. The different levels of a treatment are often created by manipulating the factor.
In contrast, independent variables are not considered dependent on other variables in various experiments. [a] In this sense, some of the independent variables are time, area, density, size, flows, and some results before the affinity analysis (such as population size) to predict future outcomes (dependent variables).

In both cases it is always a variable whose variable is examined through a different input, statistically also called a regressor. Any variable in an experiment that can be assigned a value without assigning a value to another variable is called an independent variable.

Learn more about variance:

brainly.com/question/13708253

#SPJ11

Therefore, there are 175,760,000 different possible security codes that can be made with three letters followed by four digits.

For the three letters, assuming we have a standard English alphabet with 26 letters, there are 26 options for the first letter, 26 options for the second letter, and 26 options for the third letter. Therefore, the total number of options for the three letters is 26 x 26 x 26 = 17,576.

For the four digits, assuming we have decimal digits from 0 to 9, there are 10 options for each digit. So, there are 10 options for the first digit, 10 options for the second digit, 10 options for the third digit, and 10 options for the fourth digit. Therefore, the total number of options for the four digits is 10 x 10 x 10 x 10 = 10,000.

To find the total number of different possible security codes, we multiply the number of options for the letters by the number of options for the digits:

Total number of different security codes = 17,576 x 10,000

= 175,760,000

To know more about four digits,

https://brainly.com/question/16729560

#SPJ11

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

To know more about proportional savings, refer here:

https://brainly.com/question/29251832#

#SPJ11

After evaluating the integral of equation is ( x ^2+4)×e−x dx

 =ex ^2+4e−dx

There are occasions when it is possible to perform an apparently difficult piece of integration

by first making a substitution. This has the effect of changing the variable and the integrand.

When dealing with definite integrals, the limits of integration can also change. In this unit we

will meet several examples of integrals where it is appropriate to make a substitution.

(x^2 + 4)e−x dx = 0

(x ^2+4)×e−x dx

Multiply the terms

e(x ^2+4)−x dx

Multiply the terms

Evaluate

x dx

Multiply the terms x^ 1+1 d

Add the terms

x ^2d

Multiply the terms dx ^2

e(x ^2+4)−dx ^2

Simplify

e(x ^2 +4)

Apply the distributive property

ex ^2+e×4

Multiply the terms

ex^ 2+4e

ex ^2+4e−dx ^2

After evaluating the integral of equation is(x ^2+4)×e−x dx =ex ^2+4e−dx ^2

To know more about Integration visit brainly.com/question/22008756

#SPJ4

Answer:

696 students

Step-by-step explanation:

First we can see that 1200 is 12 times 100.  We can confirm this by doing 1200/100 =12.  Then we see that 58 students out of each 100 like art over music.  So we can do 58*12= 696 because we are just multiplying the ratio of 1:12 to 58:696

The value of x is 10

Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are equal.

Also, the ratio of corresponding sides of similar triangles are equal. This means that similar triangles will have thesame shape but different sizes.

therefore;

10+x /x = 16/8

8(10+x) = 16x

80 + 8x = 16x

80 = 16x -8x

80 = 8x

divide both sides by 8

x = 80/8

x = 10

therefore the value of x is 10

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1