20.) Lines m and n cross to form Z1, 22, 23, and 24, where m 1 = 50. Z1 and /4 are supplementary. m L
m <4. What is m /2?

Answer:

120

Step-by-step explanation:

we go add 3+1=4 and then 4×3=12 and then 12×10=120

2. The appropriate measure of center for the given data is the median, and it equals 19.

5.  We can predict that there were about 169 principals in attendance at the conference.

6. The best graphical representation for the teacher's data would be a bar graph.

7.  A histogram is used to display continuous data, while a bar graph is used to display categorical data.

8. The correct circle graph to represent the data is titled "New York City Visitor's Transportation"

9. We can predict that the college will need about 1440 scoops of ice cream.

Answer 2:

The appropriate measure of center for the given data is the median, and it equals 19. We can determine this from the box plot since the line inside the box represents the median of the data, and the box itself represents the middle 50% of the data. Since the box extends from 17 to 21, we know that half of the data falls below 19 and half above, making it the median. The mean is not a good measure of center for this data because it can be influenced by outliers, which are present in this dataset.

Answer 5:

Since we know that 15 out of 80 people in the exhibit room were principals, we can assume that about 15/80 (or about 0.1875) of the attendees were principals. To estimate the number of principals in attendance, we can multiply this fraction by the total number of attendees:

0.1875 x 900 ≈ 169

Therefore, we can predict that there were about 169 principals in attendance at the conference.

Answer 6:

The best graphical representation for the teacher's data would be a bar graph. A bar graph is a useful way to display categorical data, such as the subject preferences of the students. Each subject can be represented by a bar, with the height of the bar representing the frequency or percentage of students who prefer that subject.

Answer 7:

The correct graph to display the data is a bar graph with the title "Favorite Sport" and the x-axis labeled "Sport" and the y-axis labeled "Number of Students". The bars should be labeled "Basketball" with a value of 17, "Baseball" with a value of 12, "Soccer" with a value of 27, and "Tennis" with a value of 44. A histogram is used to display continuous data, while a bar graph is used to display categorical data.

Answer 8:

The correct circle graph to represent the data is titled "New York City Visitor's Transportation" and has five sections labeled "Walk" at 30%, "Bicycle" at 6%, "Car Service" at 11.25%, "Bus" at 7.5%, and "Subway" at 20.25%. To calculate the percentages, we can divide the number of visitors for each mode of transportation by the total number of visitors (i.e., 300), then multiply by 100% to get the percentage.

Answer 9:

To estimate the number of students who prefer ice cream, we can add up the number of students who chose ice cream, which is 81. Then, we can set up a proportion:

81/225 = x/4000

where x represents the number of students who prefer ice cream out of the total population of 4000. Solving for x, we get:

x = 81 x 4000 / 225 = 1440

Therefore, we can predict that the college will need about 1440 scoops of ice cream.

Learn more on central tendency here https://brainly.com/question/17631693

#SPJ1

Drawn from a standard deck of cards there are 27885 ways in which 4 diamonds can be drawn.

The process of placing each element of a set in the same sequence or order is known as permutation in mathematics. In other words, permuting is the act of rearranging the elements of a set if it is currently ordered. Almost all academic disciplines employ permutations by mathematicians.

They frequently appear when various orderings on a particular finite set is taken into account. Contrary to permutations, the order of selection is irrelevant when choosing components from a collection that employed the combination method.

there are 52 cards in a standard deck

There are 13 diamonds in the deck

Number of ways 4 diamonds can be drawn is = 13C4

Number of ways the 5th card can be drawn from the remaining cards of the deck = 39C1

Total number of ways in which 5 cards can be drawn is

= 13C4 × 39C1

= 27885

Hence the cards can be drawn in 278885 ways.

To learn more about diamonds visit:

https://brainly.com/question/13967062

#SPJ4

The food will be needed to feed all the cub for one year is 1825 kg.

Given :

A lion ha 4 cubs that weigh 1. 7 kg, 2. 1 kg, 3 kg, and 2. 7 kg. Each cub eat 1. 25 kg of food a day.

one cub eats food = 1.25 kg

4 cubs eats food = 1.25 kg * 4

= 125 / 100 * 4 kg

= 500 / 100 kg

= 5 kg

5 kg for one day.

cub eats food for one year = 365 * 5 kg

= 1825 kg.

Therefore the food will be needed to feed all the cub for one year is 1825 kg.

Learn more about the year here:

https://brainly.com/question/14510285

#SPJ4

Answer:

Step-by-step explanation:

48/6.19=7.7544

Round that answer so it’s 7.75

Unit rate is $7.75 per ounce

The percent increase in the flight increase is \(18.35\)%

Definition of percentages.

A percentage is a ratio of some value out of a hundred.

With this definition in mind, if \(20\)% of \(200\) students have a test tomorrow, then a total of \(40\) students have a test tomorrow.

Percentage Increase Calculation Example #1

For the first example, we find the percentage increase for the following scenario:

If your total savings of $\(60\) at the beginning of the week grew to $\(90\) by the end of the week, what is the percentage increase?

This is where our three-step process comes in:

Step 1: Find the difference in values ​​by subtracting the initial value from the final value.

In this case, the final value minus the initial value can be calculated as follows:

\(90 -60 = 30\)

So in this example, the difference between the two values ​​would be \(30\). Remember that when calculating the percentage increase, you will always subtract the smaller value from the larger value.

Step 2:Divide the difference by the initial number

The next step is to take the difference (\(30\) in this example) and divide it by the starting number (\(60\) in this example) like this:

\(30/60 = 0.50\)

Always express your answer as a decimal (this will make your life a lot easier when you get to step three).

Step 3: Multiply by \(100\)

The last step is to multiply the decimal result from step two by one hundred and express the final result as a percentage.

\(0.50 * 100 = 50\)

Final answer: 50% increase

That is all! Using three steps, you can conclude that there was a \(50\)% increase in the money you had from the beginning of the week to the end of the week.

Hence percent increase can be found as follows:

=$\((432-365)/365*100\)

=\(18.35\)%

Therefore, a percent increase in the flight increase is \(18.35\)%

Learn more about percent increase here:

https://brainly.com/question/13533684

#SPJ9

True.  Under appropriate circumstances, many discrete random variables can be described by the normal distribution.

Under appropriate circumstances, many discrete random variables can be approximated by the normal distribution using the Central Limit Theorem. This theorem states that the sum of a large number of independent and identically distributed random variables, regardless of their individual distributions, tends to follow a normal distribution.

This is often the case in practice, making the normal distribution a useful tool for modeling and analyzing data. However, it's important to note that not all discrete random variables can be accurately described by the normal distribution, and it's important to assess the appropriateness of the normal approximation on a case-by-case basis.

learn more about " normal distribution":-https://brainly.com/question/4079902

#SPJ11

It is more likely that the coin will come up heads on the next flip.

Given the information provided, we can assess the likelihood of two possible outcomes based on the given conditions:

The coin will come up heads on the next flip.

The coin will not come up heads on the next flip (meaning it will either be tails or the coin will not land on either side, e.g., it could land on its edge or not flip at all).

To determine which outcome is more likely, we need to consider the bias of the coin and the previous results.

Given:

Probability of heads (H) = 60%

Probability of tails (T) = 40%

In the last 20 flips, the coin has come up heads 20 times straight. This sequence of heads does not affect the bias of the coin. Each flip is an independent event, and the outcome of one flip does not influence the outcome of the next.

Therefore, the bias of the coin remains the same for the next flip:

Probability of heads (H) = 60%

Probability of tails (T) = 40%

Considering these probabilities, the more likely outcome is that the coin will come up heads on the next flip. This is because the coin has a higher probability of landing on heads (60%) compared to tails (40%).

However, it's important to note that even though the probability of heads is higher, each individual flip is still a random event, and the outcome cannot be guaranteed. The bias only indicates the long-term probability over a large number of flips.

Therefore, based on the given information, it is more likely that the coin will come up heads on the next flip.

for such more question on next flip

https://brainly.com/question/4289712

#SPJ11

Answer:

3.81

Step-by-step explanation:

-      +     -

-      +     -

-      +      -

If you were to go all ways on this chart↑ the rules would always be the same.

A negative plus a negative is a negative.

A negative plus a positive is a negative.

A positive plus a postitive is a positive.

This verifies Green's theorem for the given vector field F and triangle region C.

To verify Green's theorem for the vector field  we need to\(F = (x^2y^2, yx^3 + y^2),\) compute the line integral ∮C F ⋅ dr around the given triangle region.

Let's denote the triangle vertices as A(0, 0), B(4, 2), and C(4, -8). The triangle region C is bounded by the line segments AB, BC, and CA.

Using Green's theorem, we have:

∮C F ⋅ dr = ∬R (∂Q/∂x - ∂P/∂y) dA,

where P and Q are the components of F, and R represents the region enclosed by C.

First, let's compute the partial derivatives of P and Q:

\(∂P/∂y = 2xy^2,∂Q/∂x = 3yx^2 + 2y.\)

Now, we'll calculate the line integral by evaluating the double integral over the region R. Since the region R is a triangle, we can express it as:

R = {(x, y) | 0 ≤ x ≤ 4, 0 ≤ y ≤ -3x/2}.

Therefore, the line integral becomes:

\(∮C F ⋅ dr = ∬R (3yx^2 + 2y - 2xy^2) dA.\)

Now, we integrate with respect to y first, from 0 to -3x/2:

\(∮C F ⋅ dr = ∫[0,-3x/2] ∫[0,4] (3yx^2 + 2y - 2xy^2) dx dy.\)

Let's evaluate this integral:

\(∮C F ⋅ dr = ∫[0,-3x/2] [3/3 yx^3 + 2/2 yx - 2/4 xy^3] | from 0 to 4 dy = ∫[0,-3x/2] (y(4^3x - x) - xy^3/2) dy = ∫[0,-3x/2] (64xy - xy - xy^3/2) dy = ∫[0,-3x/2] (63xy - xy^3/2) dy.\\\)
Now, we integrate with respect to y:

\(∮C F ⋅ dr = [63/2 xy^2 - 1/8 xy^4] | from 0 to -3x/2 = (63/2 x(-3x/2)^2 - 1/8 x(-3x/2)^4) - (0 - 0) = 63/2 x(9x^2/4) - 1/8 x(81x^4/16) = 567x^3/8 - 81x^5/128 = (567x^3 - 81x^5/8) / 128.\\\)
Now, we need to evaluate this expression at the limits of x, which are 0 and 4:
\(∮C F ⋅ dr = [(567(4)^3 - 81(4)^5/8) - (567(0)^3 - 81(0)^5/8)] / 128 = [(567(64) - 81(1024)/8) - 0] / 128 = (36288 - 82944/8) / 128 = (36288 - 10368) / 128 = 25920 / 128 = 202.5.\)

Therefore, the line integral ∮C F ⋅ dr around the triangle region C is equal to 202.5.

This verifies Green's theorem for the given vector field F and triangle region C.

To know more about vector click-
https://brainly.com/question/12949818
#SPJ11

Answer:

305°

Step-by-step explanation:

The angle between the north line at L and the line connecting PL is

125° (75° + 50° ) ← alternate angle between parallel lines

Then

bearing of P from L is 180° + 125° = 305°

Answer:

To solve this system of congruences, we can use the Chinese Remainder Theorem.

From the first congruence, we know that x is of the form x = 5k + 3, where k is an integer.

Substituting this into the second congruence, we get:

5k + 3 ≡ 5 (mod 7)

5k ≡ 2 (mod 7)

Multiplying both sides by the inverse of 5 modulo 7, which is 3, we get:

k ≡ 6 (mod 7)

So, k is of the form k = 7m + 6, where m is an integer.

Substituting this back into x = 5k + 3, we get:

x ≡ 5(7m + 6) + 3 (mod 35)

x ≡ 35m + 33 (mod 35)

Therefore, the solution to the system of congruences is x ≡ 33 (mod 35).

So, the answer is x = 33 mod 35.

Answer:

1st markdown = ​$324

2nd markdown = ​$259.20

Step-by-step explanation:

current price = 360

1st 6 months = 10% down

                     = 90% of 360

                     = 324

2nd 6 month = 20% down of first 6 month

                      =  20% down of 324

                      =  80% of 324

                      = 259.20

Answer:

B) 3.14(144)

D) 2(3.14)(12)

E) 3.14(24)

Step-by-step explanation:

The formula to find the area of a circle is \(\pi r^2\), where r = radius, while the formula to find the circumference of a circle is \(2\pi r\) or \(\pi d\), where r = radius and d = diameter.

Given the information above, option B) is a correct statement because 12^2 equals 144, and once you're done solving the square, you multiply it by 3.14. Next, option D) and E) are correct, too, because they exactly follow \(2\pi r\) and \(\pi d\). Furthermore, for E), diameter = twice the radius, so it makes sense to multiply 3.14 by 24.

Answer: 14

Step-by-step explanation:

Answer:

Evan is 19 years old

Step-by-step explanation:

let 'e' = Evan's age

let 'e+3' = Ben's age

e + e + 3 = 41

2e + 3 = 41

2e = 38

e = 19

Answer:

$207

Step-by-step explanation:

We do 1242 / 6 = 207

It costs $207 for each family member.

Answer:

207 each

Step-by-step explanation:

Take the total cost and divide by the number of family members

1242 / 6

207 each

Answer:

D. y, because ΔJHK ~ ΔLMK.

The triangle is tilted and has the same angle and sides.

ΔJHK matches with ΔLMK fully.

Answer:

the last one : y

Step-by-step explanation:

the angle KML means the angle at M.

JHK and LMK are similar triangles. that means that all angles in one triangle are the same in the other triangle.

one angle is 90°. the second angle is 65°.

that leaves the third angle to be y (or actually 25°).

A two-sample t-test is the inferential statistical test that would be best suitable to this situation.

The area of mathematics known as probability deals with numerical representations of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

A t-test is a method for evaluating hypotheses that involve examining the means of one or more populations. A t-test can be used to determine if one group deviates from a predetermined value, whether two groups diverge from one another (an independent two-sample t-test), or whether paired measurements reveal a statistically significant difference.

According to the question, we can say

With 12 technicians each, there are two techniques. To put it another way, the sample sizes are really small. Aside from that, there is no connection between the two samples. A two-sample t-test should be used as a result.

Thus, a two-sample t-test is the inferential statistical test that would be best suitable to this situation.

To learn more about the t-test on brainly : brainly.com/question/15870238

#SPJ4

Muslim scholars blended mathematical ideas from Greece, India, and Persia in the development of algebra and trigonometry.

There is solid proof of social mixing in how Muslims concentrated on arithmetic during the Islamic Brilliant Age, which endured from the eighth to the fourteenth century CE. During this time, researchers from different pieces of the Muslim world, as well as from Greece, India, and Persia, met up to share information and thoughts.

One illustration of this social mixing should be visible in the improvement of variable based math, which was vigorously affected by crafted by Indian mathematicians. Muslim researchers deciphered and developed Indian texts, integrating new ideas and images into their own numerical practices.

One more model is the improvement of geometry, which was impacted by crafted by Greek mathematicians. Muslim researchers deciphered and developed Greek texts, adding new applications and refinements to the discipline.

Generally, the social mixing of numerical thoughts and customs assumed a huge part in the improvement of Islamic science, and assisted with laying out a rich and various heritage that keeps on impacting the field today.

To learn more about cultural blending in muslims, refer:

https://brainly.com/question/24710037

#SPJ4

The probability of winning $3,899 is 0.0001, which is a very small probability, but still possible.

To write the probability distribution for a player's winnings in the Pick 4 game, we need to consider all the possible outcomes and their probabilities.

There are a total of 10,000 possible four-digit numbers that can be drawn in the game. Since the player has to match the numbers in the exact order, there is only one winning combination for each four-digit number. Therefore, the probability of winning is 1/10,000.

To calculate the player's winnings, we need to subtract the $1 cost of playing from the $3,900 prize. Thus, the player's net winnings can be calculated as follows:

Net Winnings = $3,900 - $1 = $3,899

The probability distribution for the player's winnings can be summarized in the following table:

| Winnings (x) | Probability (P) |
|--------------|-----------------|
| $0           | 0.9999          |
| $3,899       | 0.0001          |

Note that the table shows the possible winnings (x) in ascending order, as requested. The probability of winning $0 is 0.9999, which means that the player is most likely to lose their $1 bet.

Know more about probability here:

https://brainly.com/question/30034780

#SPJ11

Answer:

d

Step-by-step explanation:

I got it right on my quiz

Answer: B. statistic

Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.

Proved that the cofunction identity sec(\(\frac{\pi }{2}\)) - u = csc(u)

We have to prove that the cofunction identity using the addition and subtraction formulas.

sec(\(\frac{\pi }{2}\)) - u = csc(u)

We can prove this by using the identities given below:

\(sec(u)=\frac{1}{cos(u)}\)

\(\frac{1}{sin(u)} =csc(u)\)

cos(a-b) = cos a cos b + sin a sin b

Now the explanation,

\(sec(\frac{\pi }{2} -u) = csc(u)\)

By using trignometric identities,

\(cos(u)=\frac{1}{sec(u)}\)   ∴\(sec(u)=\frac{1}{cos(u)}\)

So,

\(\frac{1}{cos(\frac{\pi }{2}-u) } =csc(u)\)

By substituting the given identities we get,

  \(\frac{1}{cos(\frac{\pi }{2})cos(u)+sin(\frac{\pi }{2} )sin(u) }\)

= \(\frac{1}{0.cos(u)+(1).sin(u)}\)

=\(\frac{1}{sin(u)}\)

= csc(u)

csc(u) = csc(u)

Here we proved that the cofunction identity sec(\(\frac{\pi }{2}\)-u) = csc(u)

Learn more about the cofunction identity here: https://brainly.com/question/17206079

#SPJ4

Answer:

12.0 meters

Step-by-step explanation:

Given data

The first is 8.75 meters long

Let us find 37.5% of  8.75

=37.5/100*8.75

=0.375*8.75

=3.28125

Hence the Second seawall is

=3.28125+8.75

=12.0 meters

Answer:

2sqrt(14)*i

Step-by-step explanation:

(sqrt(-56))

since theres a negative in it we know there will be an i in the answer.

We need to find two numbers that multiple to 56 with at least one of them being a perfect sqaure

7*8  doesn't work

4*14 = 56

ok sqrt(4) = 2

can't take the sqaure of (14)

so we are left with

2sqrt(14)*i <---remember from before?

The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

Learn more about the distance formula here: brainly.com/question/24509115

#SPJ1

Explanation:

Concept:

The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

Hence,

From the graph below,

We can see that the graph cuts the x-axis at two points

Therefore,

The zeroes of the graph are

Answer:

23

Step-by-step explanation: