A scuba diver's first dive under
water was 45.32 feet and then
he swam 41.11 feet towards
the surface of the water?

A metric is a single, quantifiable type of data that can be utilized for various tasks in different domains. Metrics serve as essential tools for measuring progress, assessing performance, and making informed decisions.

By converting complex information into manageable and comparable units, metrics enable individuals and organizations to monitor their objectives and drive improvement.
In business, metrics are often employed to evaluate the success of marketing campaigns, employee performance, or financial growth. They assist in identifying trends, pinpointing areas that need attention, and guiding strategic planning. Key performance indicators (KPIs) are a common type of metric used to measure the effectiveness of business processes and track progress toward organizational goals.
In scientific research, metrics provide valuable insight into the progress and impact of studies. For example, citation metrics measure the influence of a published work within a given field. Metrics also facilitate the assessment of experimental results and the development of new theories, ultimately advancing scientific knowledge.
In education, metrics serve as essential tools for gauging student performance and the quality of educational programs. They provide data on student learning outcomes, helping educators refine their teaching methods and tailor instruction to the needs of individual learners.
Overall, a metric is a versatile, quantifiable data type that plays a vital role in assessing and improving various aspects of performance across multiple domains. By offering concrete, measurable information, metrics empower decision-makers to make informed choices and drive progress.

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Answer:

The caste system

Step-by-step explanation:

Buddhism does not believe in the caste system

Answer:

the caste system

Step-by-step explanation:

second option !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:  30.84 feet

This value is approximate. I used pi = 3.14

=====================================================

Explanation:

Consider a full circle of diameter 12 feet. The circumference is

C = pi*d

C = 3.14*12

C = 37.68

This is the approximate perimeter around the circle. Use more decimal digits of pi to get a more accurate value. You could also use your calculator's stored value of pi.

Since she has a semicircle, aka half circle, this means we cut that value in half to get 37.68/2 = 18.84

The distance around the curved portion of her garden is roughly 18.84 feet

Add on the straight line portion (the diameter) to get 18.84+12 = 30.84 feet

Answer:

3/18, or simplified, he has a 1/6 chance of grabbing an adventure book.

Step-by-step explanation:

6 + 5 + 4 + 3 = 18. There's 3 adventure books, which makes it so that he has a 3/18 chance of it being an adventure book. How did I simplify? 18 ÷ 3 = 6, 3 ÷ 3 = 1.

Answer:

18cm

Step-by-step explanation:

In the given research design, there are three independent variables. The notation "2x2x4" represents the number of levels or conditions for each independent variable.

The first independent variable has two levels (2x), the second independent variable has two levels (2x), and the third independent variable has four levels (4). Each independent variable is manipulated or varied independently of the others in order to examine their effects on the dependent variable(s). Therefore, there are three independent variables in this 2x2x4 research design.

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Step-by-step explanation:

the pattern is -3 -7 -7 -7 so I think the next would be three or seven

Experimental and quasi-experimental designs share similarities in terms of their focus on investigating cause-and-effect relationships. These designs both involve manipulating variables and observing their effects on an outcome of interest.

However, they differ in terms of the level of control the researcher has over the assignment of participants to groups. Experimental designs are characterized by the random assignment of participants to different groups or conditions. This randomization helps ensure that any observed differences between groups can be attributed to the manipulation of the independent variable. The researcher has control over the assignment process, allowing for stronger causal inferences. Quasi-experimental designs, on the other hand, lack the random assignment of participants to groups. This may be due to practical or ethical reasons. Instead, participants are assigned to groups based on pre-existing characteristics, such as age or location. While quasi-experimental designs still allow for the examination of cause-and-effect relationships, they are considered less rigorous than experimental designs due to the potential for confounding variables. In summary, experimental and quasi-experimental designs both aim to investigate cause-and-effect relationships. They differ primarily in the level of control the researcher has over participant assignment. Experimental designs use random assignment for greater control, while quasi-experimental designs rely on pre-existing characteristics.

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Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

Answer:

When solving an inequality:  you can add the same quantity to each side •you can subtract the same quantity from each side you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.

you can add subtract multiply and divide the quantity to each side

But if you’re doing any of those with a negative quantity, the inequality symbol must be reversed

3 x -8> 29

3 x -8 < 29

Answer:

7 + m = 43

Step-by-step explanation:

Matt's age = m

7 + m = 43

Answer:

180

Step-by-step explanation:

When a restaurant goes bankrupt the probability it purchased organic food is 0.04

By using the formula for Probability:

\(P(B|A) = \frac{P(AB)}{P(A)}\)

In which

P(B|A) is the likelihood that event B will occur in the absence of event A.

P(A/B) is the likelihood that both A and B will occur.

P(A) denotes the likelihood that A will occur.

Event A: Goes bankrupt

Event B: Purchase organic food.

Probability it goes bankrupt:

59% of 4%(purchases organic food)

60% of 96%( don't purchase organic food).

So,

P(A) = 0.59*0.04 + 0.6*0.96

P(A) = 0.5996

Bankrupt when purchases organic food. So

59% of 4%

P(A|B) = 0.59*0.04 = 0.0236

The likelihood that a restaurant bought organic food before it went out of business

\(P(B|A) = \frac{P(AB)}{P(A)}\)  = 0.0236/0.5996 = 0.0393

When a restaurant goes bankrupt the probability it purchased organic food is 0.04.

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The polar coordinate of the point is (4.941, 16.65°).

Given the Cartesian coordinates of a point in the xy plane is (-4.7, -1.4). Find the polar coordinates of the point.

Polar coordinates:

Polar coordinates of a point is of the form (r,θ) where r is the radial distance from the origin to the point, and θ is the angle formed between the line joining the origin and the point, and the positive x-axis.

Now, we have to find the value of r and θ.

Let us first find the value of r.r = sqrt(x^2 + y^2)

where x = -4.7, y = -1.4r = sqrt((-4.7)^2 + (-1.4)^2)r = sqrt(22.45 + 1.96)r = sqrt(24.41)r = 4.941

Now, to find the value of θ, we use the formulaθ = tan-1(y/x)

where x = -4.7, y = -1.4θ = tan-1(-1.4/-4.7)θ = tan-1(0.2979)θ = 16.65°

Therefore, the polar coordinate of the point is (4.941, 16.65°).

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Ans:

(x+5)(x+1)+8

Step by step explanation:

-5 was mentioned as the 0 of the first root: (x+5). Then with some maneuvering we can plot (-3,4) then add (x+1) because they land on the same y axis. then we add 8 to get it right on the vertex.

Simplify the expression.

15x − 3y − 8

Answer:

False

Step-by-step explanation:

[If two lines are perpendicular, then the lines intersect to form four right angles] It's true up till here, but a right angle is 90 degrees, not 180 degrees

Yes, there is enough sample evidence to conclude that the proportion of left-handed women is less than the proportion of left-handed men.

To test this conclusion, we can conduct a hypothesis test at the 0.05 level of significance. The null hypothesis would be that the proportions of left-handed women and men are equal, while the alternative hypothesis would be that the proportion of left-handed women is less than the proportion of left-handed men.

We would calculate the difference in proportions of left-handed women and men in our sample and then use a two-tailed z-test to determine if this difference is statistically significant. If the z-score we calculate is greater than the critical z-score associated with the 0.05 level of significance, then we can reject the null hypothesis and conclude that the proportion of left-handed women is less than the proportion of left-handed men.

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The number of tonnes that will give equal amount is 16 tonnes.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this situation, the Sugar Sweet Company will choose from two companies to transport its sugar to market. the first company charges $4500 to rent trucks plus an additional fee of $125.50 for each ton of sugar. The second company charges $3296 to rent trucks plus an additional fee of $200.75 for each ton of sugar.

The equation will be:

4500 + 125.50t = 3296 + 200.75t

Collect the like terms

200.75t - 125.50t = 4500 - 3296

75.25t = 1204

Divide

t = 1204 / 75.25

t = 16

The number of tonnes will be 16.

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The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $4500 to rent trucks plus an additional fee of $125.50 for each ton of sugar. The second company charges $3296 to rent trucks plus an additional fee of $200.75 for each ton of sugar.

When will they have equal amount?

Answer:

5/8 pound

Step-by-step explanation:

Answer:

5/8 of a pound

Step-by-step explanation:

8 7/8 - 8 1/4

= 7/8 - 1/4

= (7 - 2)/8

= 5/8

Answer:

Happened in 1986

Maybe 37 years ago?

In school suspension

To find the expected number of tails when the coin is tossed twice, we need to use the formula for expected value:
E(X) = ∑xp(x)

Where x is the possible outcome and p(x) is the probability of that outcome occurring.
Since a head is three times as likely to occur as a tail, the probability of getting a tail is 1/4 and the probability of getting a head is 3/4.
So, when the coin is tossed twice, there are four possible outcomes: two tails (TT), two heads (HH), one tail and one head (TH), and one head and one tail (HT).
The expected value of tails for each outcome is:
E(TT) = 2(1/4)(1/4) = 1/8
E(HH) = 0(3/4)(3/4) = 0
E(TH) = 1(1/4)(3/4) = 3/16
E(HT) = 1(3/4)(1/4) = 3/16
So the expected number of tails when the coin is tossed twice is:
E(X) = 1/8 + 0 + 3/16 + 3/16 = 7/16
Therefore, the expected number of tails when this coin is tossed twice is 7/16.

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The system of equations we have is

Now, to find the aumented matrix, we have to have all of the variables in each equation on one side, for this in the first equation we add 1 to both sides of the equation:

And for the second equation we need to add 8y to both sides and substract 2 from both sides (this is to have variables on the left and independent number on the right):

Now, the system is left as follows

We represent this a matrix with the following form:

The first line will represent the first equation

The second line will represent the second equation

And the first column will be the x values, and the second column the y values:

I will expand on the meaning of this in the following diagram:

That last one is the aumented matrix of the system.

step 1

Find out the unit price

Divide the total cost by the total ounces

so

2/16=$0.125 per ounce

step 2

Find the cost of 8 oz

Multiply the number of ounces by the unit price

so

0.125*8=$1

Find the cost of 12 oz

0.125*12=$1.5

Find the cost of 18 oz

0.125*18=$2.25

Find the cost of 28 oz

0.125*28=$3.5

Answer:

6

Step-by-step explanation:

Answer:

D) 6

Step-by-step explanation:

Assumption method:

Assume all are postcards.

Total cost of postcards = 10 × $1

                                       = $10

Difference between total = $22 - $10

                                          = $12

Difference between subjects = $3 - $1

                                                 = $2

No. of magnets = $12 ÷ $2

                          = 6

The average speed of the cannonball during the given time intervals can be calculated using the height function h(t) = 189.27 - 16t². (a) The average speed of the cannonball during the first 2 seconds is 63 ft/s. (b) The average speed of the cannonball during the first 3 seconds is 96 ft/s. (c) The average speed of the cannonball between t = 2 and t = 3.25 seconds is approximately 14.96 ft/s.

To find the average speed during a given time interval, we need to calculate the change in height (Δh) divided by the change in time (Δt). In this case, the height function h(t) is given as h(t) = 189.27 - 16t².

(a) For the first 2 seconds, we have Δh = h(2) - h(0) = (189.27 - 16(2)²) - (189.27 - 16(0)²) = 63. The change in time is Δt = 2 - 0 = 2 seconds. Therefore, the average speed is  Δh/Δt = 63/2 = 31.5 ft/s.

(b) For the first 3 seconds, we have Δh = h(3) - h(0) = (189.27 - 16(3)²) - (189.27 - 16(0)²) = 96. The change in time is Δt = 3 - 0 = 3 seconds. Therefore, the average speed is Δh/Δt = 96/3 = 32 ft/s.

(c) To calculate the average speed between t = 2 and t = 3.25 seconds, we need to find Δh and Δt for this time interval. Δh = h(3.25) - h(2) = (189.27 - 16(3.25)²) - (189.27 - 16(2)²) ≈ -14.96. The change in time is Δt = 3.25 - 2 = 1.25 seconds. Therefore, the average speed is Δh/Δt ≈ -14.96/1.25 ≈ -11.97 ft/s.

Note: The negative sign indicates that the cannonball is moving downward during this time interval.

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Answer:

40

Step-by-step explanation:

m<1 = (1/2)(50 deg + 30 deg)

m<1 = (1/2)(80 deg)

m<1 = 40 deg

Answer: 40