How many prime factors does 28 have?

Answer:

Hello! answer: 11 25/64

Step-by-step explanation:

Volume is just length × width × height since its a cube all of those will be the same so...

2 1/4 × 2 1/4 × 2 1/4 = 11 25/64 Hope that helps!

Answer:

11 25/64

Step-by-step explanation:

To find the volume of a cube, you have to cube the side length.

2 1/4^3=2 1/4•2 1/4•2 1/4=9/4•9/4•9/4=729/64=11 25/64.

An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.

An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.

In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.

The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.

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Answer:

150

Step-by-step explanation:

Using the unitary method,we can say that 150  liters of olive oil it will make.

According to the question,

hence,We may estimate that 150 liters of olive oil will be produced using the unitary approach.

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The standard deviation for the number of people with the genetic mutation in such groups of 100 is 1.4

From the information given,

About 2% of the population has a particular genetic mutation, and 100 people are randomly selected.

The standard deviation for the number of people with the genetic mutation in such groups of 100 is obtained below;

The required standard deviation is,

p = 0.02 and n = 100;

1 - p = 1 - 0.02

       = 0.98

σ = \(\sqrt{n*(1-p)*p}\)

σ = \(\sqrt{100*0.02*0.98}\)

σ = 1.4

The standard deviation for the number of people with the genetic mutation in such groups of 100 is 1.4

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Answer:

1/3 liters. or 33.33333 ml

Step-by-step explanation:

1 2/5 + 1 3/5 = 3

3 liters of juice is there.

3 liters of juice/9 glasses.

1/3 liters of juice is in every glass

Answer:

$190.00

Step-by-step explanation:

285÷30=9.5

9.5×20=190

Hope this helps! :)

Answer:

A. 2, 2, 5

Step-by-step explanation:

DE:

BA = 10

10 * 1/5 = 2

EF:

BC = 10

10 * 1/5 = 2

DF:

AC = 25

25 * 1/5 = 5

Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.

The P-value for the hypothesis test is approx. 0.7064.

To find the P-value for the hypothesis test, we need to perform a two-sample proportion test. The formula to calculate the test statistic for this test is given by:

\(\[ z = \frac{{(\hat{p}_1 - \hat{p}_2) - 0}}{{\sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)}}} \]\)

where \(\hat{p}_1\) and \(\hat{p}_2\) are the sample proportions, \(\hat{p}\) is the combined sample proportion, \(n_1\) and \(n_2\) are the sample sizes, and 0 is the hypothesized difference in proportions.

In this case, we have \(n_1 = 50\), \(x_1 = 8\) (number of successes in sample 1), \(n_2 = 50\), and \(x_2 = 7\) (number of successes in sample 2).

First, we calculate the sample proportions:

\(\[ \hat{p}_1 = \frac{x_1}{n_1} = \frac{8}{50} = 0.16 \]\)

\(\[ \hat{p}_2 = \frac{x_2}{n_2} = \frac{7}{50} = 0.14 \]\)

Next, we calculate the combined sample proportion:

\(\[ \hat{p} = \frac{x_1 + x_2}{n_1 + n_2} = \frac{8 + 7}{50 + 50} = 0.15 \]\)

Then, we calculate the standard error:

\(\[ SE = \sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)} = \sqrt{0.15(1 - 0.15)\left(\frac{1}{50} + \frac{1}{50}\right)} \approx 0.0529 \]\)

Finally, we calculate the test statistic:

\(\[ z = \frac{(\hat{p}_1 - \hat{p}_2) - 0}{SE} = \frac{(0.16 - 0.14) - 0}{0.0529} \approx 0.3772 \]\)

To find the P-value, we look up the test statistic in the standard normal distribution table. In this case, the P-value is the probability of observing a test statistic greater than 0.3772 or less than -0.3772.

Consulting the table, we find that the P-value is approximately 0.7064. Therefore, the P-value for the hypothesis test is approximately 0.7064.

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Answer:

19 are blue

37

Step-by-step explanation:

35 - 16 = 19

35 + 3 = 38 & 75 - 38 = 37

The term that refers to the fact that the distance between two or more points is equal is "equidistant".

In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.

Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.

The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.

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Answer:

40 miles, 2000seconds or 33minutes and 20 seconds

Step-by-step explanation:

a. multiple time by miles/hour -> 40*60/60=40 so 40 miles

b. 60+12=72 so her new speed is 72mph. next, to find the time we need to divide distance by 1/mph -> 40* 1/(72/60)=40*60/72=100/3 which is 2000seconds or33minutes and 20 seconds

Answer:

y=-2/3x+4

Step-by-step explanation:

The y intercept is clearly 4, and if you use the method rise over run on the graph, you will get the slope above. Hope this helps.

Answer:

equation: y = 12x

Dr. Betz worked for 8 hours.

Step-by-step explanation:

To write the equation we'll use the form y = mx, where y represents the amount of time the Doctor worked, m is the amount of minutes it takes to treat each animal, and x is how many animals have been treated. We know the value of m is 12, so let's put that into the equation:

y = 12x

Now we have our equation. We can use it to see how long Dr. Betz worked. He treated a total of 40 animals - 20 including the shaggy dog, and 20 after the shaggy dog. let's replace x with 40:

y = 12(40)

Now solve:

y = 480

Dr. Betz worked for 480 minutes. There are 60 minutes in an hour. Divide 480 by 60 to find out how many hours Dr. Betz worked for:

480/60 = 8

Dr. Betz worked for 8 hours.

Answer:

Step-by-step explanation:

To find the mean of a set of numbers you have to start by finding the sum of all the numbers. In this case the sum is 75. After you find the sum of the numbers count how many numbers are in the data set. Now divide the sum by the amount of numbers you counted. We have 5 numbers so when we divide 75 by 5 your answer is 15. Hope that helps!

Answer:

V≈2143.03cm³

Step-by-step explanation:

The volume of the sphere is 2143.57 cm³.

A = 4 × π × r², where 'r' is the radius of the sphere.

V = (4/3) × π × r³

For given example,

a surface area of the sphere is 803.84 cm^2.

⇒ A = 803.84 cm²

Using the formula of the surface area of the sphere,

⇒ 4πr² = 803.84

⇒ r² = 64

⇒ r = 8 cm

Using the formula of the volume of the sphere,

⇒ V = (4/3) × π × r³

⇒ V = (4/3) × 3.14 × 8³

⇒ V = 2143.57 cm³

Therefore, the volume of the sphere is 2143.57 cm³.

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Answer:

989000

Step-by-step explanation:

Answer: 100,000 = 989,000

Answer:

The circumference is:

\(C=84.8\: cm\)

Step-by-step explanation:

The pizza is a circle, so the circumference equation is given by:

\(C=2\pi R\)

Where:

Therefore, the circumference is:

\(C=2\pi*13.5\)

\(C=84.8\: cm\)

I hope it helps you!

Answer:

See below

Step-by-step explanation:

a =  15 sqrt 2   sin 45

   = 15 sqrt 2  * sqrt( 2 ) /2  = 15 * 2 /2 = 15

sin 60 = a/c

sqrt(3)/2 = 15/c

   c =   15 / ( sqrt(3)/2) = 30 / sqrt 3 = 30 sqrt 3 /3 = 10 sqrt 3

No, the determinant of a matrix can only be calculated for square matrices. A square matrix has an equal number of rows and columns, while a non-square matrix has a different number of rows and columns.

The determinant is a mathematical property that is defined for square matrices only. It is a scalar value that represents certain characteristics of the matrix. To calculate the determinant of a square matrix, you can use various methods such as expansion by minors, cofactor expansion, or using the properties of determinants.

For example, let's consider a 3x2 non-square matrix:

```

A = [[1, 2],

    [3, 4],

    [5, 6]]

```

Since A is a non-square matrix, we cannot calculate its determinant.

the determinant is a concept applicable only to square matrices. Non-square matrices do not have a determinant.

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Answer:

Step-by-step explanation:

it is 2x

Answer:

600

Step-by-step explanation:

Answer:

880 ft/sec

Step-by-step explanation:

a) The sampling distribution of the sample mean has a mean of 30 and a standard deviation of 0.8

b) P(29 < X < 32.2) is 0.499

a) The sampling distribution of the sample mean can be described as approximately normal. According to the Central Limit Theorem, when the sample size is sufficiently large (n > 30), the sampling distribution of the sample mean tends to follow a normal distribution regardless of the shape of the population distribution.

The mean of the sampling distribution of the sample mean is equal to the population mean, which is u = 30 in this case.

The standard deviation of the sampling distribution of the sample mean, also known as the standard error of the mean (SE), can be calculated using the formula:

SE = o / sqrt(n)

where o is the population standard deviation and n is the sample size. Substituting the given values, we have:

SE = 4.8 / √(36) = 4.8 / 6 = 0.8

Therefore, the sampling distribution of the sample mean has a mean of 30 and a standard deviation of 0.8.

b)P(29 < X < 32.2), where X represents the sample mean, we need to calculate the z-scores corresponding to the lower and upper limits and then find the probability between those z-scores.

The z-score can be calculated using the formula

z = (X - u) / SE

For the lower limit of 29

z₁ = (29 - 30) / 0.8 = -1.25

For the upper limit of 32.2

z₂ = (32.2 - 30) / 0.8 = 3.25

P(29 < X < 32.2) is 0.499

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Answer:

200 in²

Step-by-step explanation:

To find the area, you need to split it into two squares. The upper square would be 10 inches times 10 inches which would give you 100 inches squared. Since both are the same size, you can add both square areas together to give you 200 inches squared.

Answer:Newton's First Law

Step-by-step explanation:

"When the car crashes, there is no unbalanced force acting on the person, so they continue forward (Newton's First Law). The person moves against the seat belt, exerting a force on it. The seat belt then exerts a force back on the person (Newton's Third Law). This causes a controlled deceleration of the person" -google

The quantity of purple marbles that Leslie has would be = 32 purple marbles.

The number of bags of marbles that Leslie has = 6 bags.

The quantity of marbles that is found in each bag = 16 marbles.

Therefore the total number of marbles = 6× 16 =96 marbles.

The fraction of purple marbles that Leslie has = 1/3 of 96

Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32

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Complete question:

Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?

Answer:

36,864

Step-by-step explantion:

Answer:

A. 16

Explanation:

If n =4

Therefore, all of the following expressions are equal to 1/16 except 16.

The correct choice is A.