What is the volume of a sphere of 13cm? using 3.14​

The z-score for the data item 72, given a mean of 60 and a standard deviation of 8, is: B. 1.5.

A z-score represents the number of standard deviations a data point is away from the mean.

To convert a data item to a z-score, you can use the formula:

z = (x - μ) / σ

where we have:

z is the z-score

x is the data item

μ is the mean

σ is the standard deviation

In this case, the data item is 72, the mean is 60, and the standard deviation is 8. Plugging these values into the formula, we get:

z = (72 - 60) / 8

z = 12 / 8

z = 1.5

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Complete Question:

A set of data items is normally distributed with a mean of 60. Convert the data item to a z-score, if the standard deviation is as given.

data item: 72; standard deviation: 8

A 15/2

B 1.5

C. 8

D. 12

9514 1404 393

Answer:

  $4.50

Step-by-step explanation:

To find cost per kilogram, divide the cost by the number of kilograms it corresponds to.

  ($2)/(4/9 kg) = (2)(9/4) $/kg = $4.50 /kg

1 kilogram costs $4.50.

The coordinates in the Cartesian system are parallel to one another and have the same unit length on both axes. A fixed point, an origin or pole, and a zero direction or axis make up a polar coordinate system. Each point's position in relation to the origin and the zero axis is determined by an angle and a distance.

A two-dimensional coordinate system known as a "polar coordinate system" is one in which each point's position on a plane is established by its distance from a reference point and its angle with respect to a reference direction. Because you interpret the point at which the axes cross as a pole from which everything radiates out, these new coordinates are known as polar coordinates. to alter. Several disciplines, including as mathematics, physics, engineering, navigation, and robotics, employ the polar coordinate system. Navigation and position. As the destination or direction of travel can be expressed as an angle and distance from the object being considered, polar coordinates are frequently utilized in navigation. For instance, the polar coordinates are slightly adjusted for use in aviation navigation.

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Answer:

360-540 calories

You could solve using the Law of Sines. You could also use SohCahToa to find the missing angle.

The identities among the given statements are:

tan x = sin x / cos x

sin x / tan x = cos x

We have,

Let's analyze each of the given statements to determine whether they are identities:

tan x = sin x / cos x:

This is an identity.

It is known as the fundamental identity of trigonometry, as it holds true for all values of x (except when cos x is equal to 0).

tan x cos x = sin x:

This is not an identity.

It is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.

cos x = tan x sin x:

This is not an identity.

Similar to the previous statement, it is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.

sin x / tan x = cos x:

This is an identity.

It can be derived from the fundamental identity by dividing both sides by cos x, resulting in sin x / cos x = cos x / cos x, which simplifies to sin x / tan x = cos x.

Thus,

The identities among the given statements are:

tan x = sin x / cos x

sin x / tan x = cos x

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Answer:

No shes not.

Step-by-step explanation:

961 x 4 is 3,844

Answer:

I think JL is equavalent to 18, because there is a 9 coming from KE and it goes directly to the center and all the lines are the same within the rectangle. 18 is my answer

18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

Answer:

The answer is 6.28!

Step-by-step explanation:

The circumference of a circle is \(c=\pi *d\). I hope this helps! Have a great rest of your day!

Since Tony is self-employed, he will have to pay all of the tax himself.

Take his adjusted earnings times the tax rate

58238.74 * 2.9%

58238.74 * .029

1688.92346

Rounding to the nearest cent

1688.92

Answer:

18

Step-by-step explanation:

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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A histogram would be the most appropriate graphical display to present data by grouping the results into groups of 25 cm.

A histogram is a graphical representation of data that shows the distribution of a set of continuous data by dividing the data into bins (or intervals) and showing the frequency of observations within each bin. The histogram provides a visual representation of the distribution of data, showing the shape, central tendency, and spread of the data.

In this case, the farmer has measured the height of every tree in a large orchard in centimeters and wants to present the data in groups of 25 cm. To create a histogram for this data, the first step would be to divide the data into bins, or intervals, of 25 cm.

Once the bins are created, the next step is to count the number of observations (tree heights) that fall within each bin. This information can be represented as a bar graph, where the height of each bar represents the frequency of observations within the corresponding bin.

By presenting the data in this way, the farmer can easily see the distribution of tree heights in the orchard. The shape of the histogram can indicate whether the data is symmetrical, skewed, multimodal, or uniform.

The central tendency of the data can be determined by looking at the peak of the histogram, which represents the most frequent range of tree heights. The spread of the data can be determined by looking at the width of the histogram and the range of tree heights represented.

In conclusion, a histogram is the most appropriate graphical display to present the results of the tree heights in groups of 25 cm because it provides a visual representation of the distribution of the data and allows the farmer to see the shape, central tendency, and spread of the tree heights in the orchard.

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Answer:

4+5\(\sqrt{2}\) ft

Step-by-step explanation:

The type o the length of the shed will be a real number and a rational number. Then the correct option is B and E.

The continuous portrayal of numerals using digits and perhaps other marks is known as a number system.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number.

Helena builds a shed in her backyard.

There is a larger section for large tools, like her lawn mower, and a smaller section for small tools.

The type o the length of the shed will be a real number and a rational number.

Then the correct option is B and E.

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7 ≤ p

8 ≤ p

8 < p

9 < p

Answer:

Step-by-step explanation:

Given the following :

Number of signatures required = at least 1000 ( ≥ 1000)

Number of signatures already obtained = 380

Given that a petition page holds 80 signatures

How many more pages does Devin need

Number of signatures left = ≥ 1000 - 380 = ≥ 620 more signatures

Let the number of pages required = p

With 380 signatures,

380 / 80 = 5 pages (20 more signatures to complete the 5 th page)

Number of signatures left = 620

(620 - 20) = 600

= 600/ 80

= 7.5 pages to the nearest whole number = 8 pages

The most appropriate option is 8 less than or equal to the number of pages needed .

8 ≤ p

Answer:

8 ≤ p

Step-by-step explanation:

a. The Present value will be  $123.60 (15% nominal rate, semiannual compounding, discounted back 4 years). b. The Present value will be  $122.85 (15% nominal rate, quarterly compounding, discounted back 4 years. c. The Present value will be  $181.96 (15% nominal rate, monthly compounding, discounted back 1 year). d. The differences in the present values (PVs) occur due to the compounding frequency and discounting period.

To find the present value (PV) of $200 due in the future under different conditions, we need to use the formula for present value and consider the compounding frequency and discounting period.
a. 15% nominal rate, semiannual compounding, discounted back 4 years:
In this case, we use the formula PV = FV / (1 + (r/n))^(n*t), where FV is the future value, r is the nominal rate, n is the compounding frequency per year, and t is the number of years.
PV = $200 / (1 + (0.15/2))^(2*4)
PV = $200 / (1.075)⁸
PV = $123.60

b. 15% nominal rate, quarterly compounding, discounted back 4 years:
Using the same formula:
PV = $200 / (1 + (0.15/4))^(4*4)
PV = $200 / (1.0375)¹⁶
PV = $122.85

c. 15% nominal rate, monthly compounding, discounted back 1 year:
PV = $200 / (1 + (0.15/12))^(12*1)
PV = $200 / (1.0125)¹²
PV ≈ $181.96

d. The differences in the present values (PVs) occur due to the compounding frequency and discounting period. When compounding occurs more frequently, such as semiannually or quarterly, the PV decreases because the interest is added more frequently, reducing the impact of compounding. On the other hand, when the discounting period is longer, as in the case of 4 years versus 1 year, the PV decreases because the future value is being discounted over a longer time period.

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Answer: the 2nd one tan(- 5x/6)

Step-by-step explanation: because if you equal the numbers it will become a negative number i hope this helps :)

Answer:

B

Hope I helped

The measure of each of the two base angles is 50°.

In a triangle, the sum of all three angles is equal to 180°.

Given,

          One of the angles = 80°

Also, the two base angles are equal by symmetry.

Let, the base angles be x.

By angle sum property we have:

                            x + x + 80° = 180°

                                2x + 80° = 180°

                                          2x =  180° - 80°

                                           2x = 100°

                                              x = 50°

Hence, the measure of each of the two base angles is 50°.

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Answer:

the answer is c

Step-by-step explanation:

no soloutions have the same slope but different intercepts so it cannot be d because the slopes are different.

Answer:

22 1/2 degrees

Step-by-step explanation:

4 x 5 = 20

(1/2) x 5 = 2.5

Answer: 22.5 degrees

Step-by-step explanation:

If it fell 4.5 degrees each hour, and there were 5 hours, 4.5x5 == 22.5

we cannot take the natural logarithm of a negative number, so this equation has no real solutions. Therefore, there is no value of r that satisfies the given equation.

To solve the equation e^(r+8)-5=-24, we need to add 5 to both sides and then take the natural logarithm of both sides. We can then solve for r by simplifying and using the rules of logarithms.

The given equation is e^(r+8)-5=-24. To solve for r, we need to isolate r on one side of the equation. To do this, we can add 5 to both sides:

e^(r+8) = -19

Now, we can take the natural logarithm of both sides to eliminate the exponential:

ln(e^(r+8)) = ln(-19)

Using the rules of logarithms, we can simplify the left side of the equation:

r + 8 = ln(-19)

However, we cannot take the natural logarithm of a negative number, so this equation has no real solutions.

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Answer:

D. rectangle

Step-by-step explanation:

The slopes of 2 lines are perpendicular when they are the negative reciprocal of each other. In this case, that is true, because 3 is the negative reciprocal of -1/3 and vice versa. This means it's either a rectangle or a square.

The lengths of the lines are not all the same, meaning it cannot be a square.

Therefore, the best name for the quadrilateral MATH is rectangle.

I hope this helped.

Answer:

5 times. Remaining is 7/25.

Step-by-step explanation:

"How many times does 50 into 264" represents 264/50.

Let's divide 264 by 50:

264 / 50 = 5 with the remaining of 14.

Let's turn 14 into a simplified fraction:

14/50

=7/25.

Your simplified answer is:

50 goes into 264 5 and 7/25 times.

The wind speed is approximately 243.372 km/h, blowing in a direction of S81°W. This is determined by calculating the vector difference between the ground velocity and the airspeed.

To solve this problem, we need to calculate the vector difference between the ground velocity and the airspeed. Let's start by breaking down the given information. The airspeed is 450 km/h with a heading of S60°W, while the ground velocity is 376 km/h at a bearing of $20°W.

First, we convert the headings into compass bearings. S60°W is equivalent to S120°E, and $20°W is equivalent to N160°E. Now we can represent the airspeed and ground velocity as vectors on a diagram.

Next, we subtract the airspeed vector from the ground velocity vector to obtain the wind vector. Using vector subtraction, we find that the resultant vector has a magnitude of approximately 243.372 km/h.

Finally, we determine the direction of the wind vector by finding the bearing angle. The bearing angle is measured clockwise from the north, so we subtract 160° from 120° to get a bearing angle of 80°. However, since the wind is blowing in the opposite direction, we subtract 180° from 80° to obtain a direction of S81°W.

In conclusion, the wind speed is approximately 243.372 km/h, blowing in a direction of S81°W.

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Answer:

StartFraction 5 Over 136 EndFraction

Step-by-step explanation:

The total number of books in Nadia's bookshelf is 10 + 2 + 5 = 17.

To calculate the probability, we multiply the probability of picking up a reference book (2 out of 17) by the probability of picking up a nonfiction book (5 out of 16, since one reference book has already been picked).

Probability = (2/17) * (5/16) = 10/272 = 5/136

Therefore, the correct answer is StartFraction 5 Over 136 EndFraction.

i hope i helped!

Answer:

4th option

Step-by-step explanation: