Find the mean and the median of the distribution of corrected long jump distance have?

After 24 days, there will be approximately 25 atoms of I13153 remaining. The nuclear process that occurs during the decay is the transformation of I13153 into Xe13154.

The half-life of I13153 is nearly 8 days, which means that after each 8-day period, half of the atoms will decay into Xe13154. Starting with a sample of 200 atoms of I13153, we can calculate the number of remaining atoms after 24 days. Since the half-life is 8 days, the number of remaining atoms after each 8-day period is halved. After the first 8 days, there will be 100 atoms of I13153 remaining.

After the second 8 days, there will be 50 atoms remaining. And after the third 8 days, there will be 25 atoms of I13153 remaining. The nuclear process that occurs during the decay of I13153 is radioactive decay. Specifically, it undergoes beta decay, where a neutron in the nucleus of I13153 is converted into a proton, resulting in the formation of Xe13154. This process releases radiation and transforms the original isotope into a different element.

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Answer:

E

Step-by-step explanation:

You already know that TS = AB and TU = BC because it shows that in the images using the tick marks. SSS Triangle Congruence Postulate is when two triangles are congruent to each other because all the corresponding side lengths are equal to each other. So we already have two side lengths that are equal to each other, and, in order for SSS to be true, we need all 3 side lengths to be equal to each other. The only two side lengths not equal to each other yet are US and CA so if those were to be equal to each other, all corresponding side lengths would be equal to each other.

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The final elevation of the AUV is \(-31 \frac{5}{12}\) feet.

Given that, AUV is at an elevation of -8.25 ft. It dives down \(6\frac{2}{3}\) ft to collect a specimen. Then the AUV dives another \(15\frac{3}{4}\) ft.

The angle of elevation in math is "the angle formed between the horizontal line and the line of sight when an observer looks upwards is known as an angle of elevation".

Here, the mixed fraction can be written in improper fraction

\(6\frac{2}{3} = \frac{20}{3}\) and \(15\frac{3}{4}=\frac{63}{4}\)

Now, 8.25 = 825/100 = 33/4

The final elevation = -33/4-20/3-63/4

= -99/4 - 20/3

= -297/12 -80/12

= - 377/12

= \(-31 \frac{5}{12}\)

Therefore, the final elevation of the AUV is \(-31 \frac{5}{12}\) feet.

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Using the distributive property, it is found that the equivalent expression is:

18c - 30d + 36

It is a property that the outside term multiplies each of the inside terms.

In this problem, the expression is:

6(3c - 5d + 6).

Hence, we apply the property, with the outside term 6 multiplying each of the inside terms, hence the equivalent expression is given by:

6(3c - 5d + 6) = 18c - 30d + 36.

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Answer:

1) m<DBE= 140

2)m<EBD= 30

Step-by-step explanation:

1) 5x-60= x+20

4x= 80

x= 20

plug in the x into the equation: (x+20)---> (20+20)=40

180-40= 140

2) 4x-2+20x-10= 180

24x= 192

x=8

plug in the x into the equation: (4x-2)----> 4(8)-2----> 32-2= 30

3) im not sure

4) im not sure

Answer: did you see my answer on the second page?

Step-by-step explanation: IM SORRY PLEASE DONT BAN ME

The chart showing the results of data collection for frequency of fast food consumption by each of three head of household age groups is an example of a frequency distribution chart.

A frequency distribution or frequency table is a way of organizing and presenting data by categorizing it into different groups or intervals and indicating the number of occurrences or frequency within each group. In this case, the data collected pertains to the frequency of fast food consumption for three different age groups of household heads.

The chart would typically have three columns representing the age groups (e.g., 18-30, 31-45, 46-60), and another column indicating the frequency or number of households within each age group that reported a specific frequency of fast food consumption (e.g., daily, weekly, monthly). The frequencies can be represented in numbers or percentages.

This type of chart helps visualize the distribution of fast food consumption habits across different age groups, allowing for comparisons and analysis of patterns or trends. It provides a concise summary of the collected data and facilitates easy interpretation and understanding of the frequency distribution within each age group.

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Answer:

Row 15 is correct

Step-by-step explanation:

Pascal's triangle:  

                                              1                                            n = 0 , Row = 0

                                      1                 1                                  n = 1  , Row = 1

                             1               2                1                          n = 2 , Row = 2

                                               :

                                          .........

                                           .......

For n = 0, Row number 1  

For n = 1,  Row number 2

For n = 2, Row number 3

We make pascal's triangle but sum of above two number, write below.  

As we can see in pascal's triangle.  

Exponent represent the number of row.  

If binomial has exponent n then nth row of pascal's triangle use.  

For  

Here power is 15  

So, we have to use 15 row of pascal's triangle.  

Hence, Row 15 is correct

Answer:

the second part is 16

Step-by-step explanation:

Answer:

x<12

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3< x/ −4

Step 1: Simplify both sides of the inequality.

−3< −1/ 4 x

Step 2: Flip the equation.

−1/ 4 x>−3

Step 3: Multiply both sides by 4/(-1).

( 4/ −1 )*( −1/ 4 x)>( 4 /−1 )*(−3)

x<12

Answer:

x<12

Answer:

$240,000.00

Step-by-step explanation:

3,000,000 * 8% = $240,000.00

Answer:

A. -12 meters

B. 28 meters

C. 40 meters

Step-by-step explanation:

A. -12 meters

B. 28 meters

C. 40 meters

Step-by-step explanation:

The surface of the ocean would be 0.

Taking this into account, 12 meters below would be 0 - 12, which is -12. Therefore A's elevation would be -12.

For the sea bird, 28 meters above the surface, which is again 0, would be 0 + 28. B's elevation is 28.

Since the fish is 12 meters below the surface and the sea bird is 28 meters above the surface, simply add the two numbers up to get a total of 40 meters. C would be 40 meters.

The radial road is longer than the straight line by approximately 0.154 m. Therefore, the required answer is 0.154 m.

Given: AO = BO, ∠AOB = 60°,  and AB is joined by straight road ACB and radial road AB.

To Find: By how much radial road AB is longer than the straight line?

Let's construct the diagram below, In triangle AOB, using the sine rule:

AB / sin ∠ABO = BO / sin ∠BAO, AB / sin 60° = BO / sin 60° => AB = BO ...(i)

Let AC = BC = x m ∴ AB = 2x m (Since ∠AOC = ∠BOC = 60°)

In triangle ABC, using the cosine rule:AB² = AC² + BC² - 2ACBC cos ∠CAB(2x)² = x² + x² - 2(x)(x)(cos 120°)4x² = 2x² + x² + 2(x² )∴ x² = 2x² / 3 => x = (2 / √3)x

Let AD be the perpendicular distance of C from AB.

Then, AD = (x)sin 60° = (x√3 / 2) m And BD = (x)sin 30° = (x / 2) m

Thus, AB = AD + BD = (x√3 / 2) + (x / 2) = (2x + x√3) / 2From eq. (i), we have BO = 2x m

Therefore, radial road ACB is longer than straight line AB by = ACB - AB= (2x + x√3) / 2 - 2x= x(√3 - 2) / 2= [2 / √3]× [√3 - 2]≈ 0.154 m

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Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

As per the question, 33 boys tried the track and 87 boys didn't, whereas 12 girls tried the track and 68 girls didn't.

Total number of boys = 120

Total number of girls = 80

Students who tried out for track = 45

Students that were girls = 45

If 12 were girls, therefore,

Total number of boys -

= 45 - 12

= 33

This means that 33 boys tried the track

Now, since 12 girls tried the track

Boys who did not try the track -

= 120 - 33

= 87

Girls who did not try the track -

= 80 - 12

= 68

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Step-by-step explanation:

before tax it would be 6/100×48=$2.88

so therefore before tax = $48-2.88=$45.12

final price after tax =$48+2.88=$50.88

Answer:

15

Step-by-step explanation:

The sum of angles around a point is added up to 360°.

Accordingly,

4x - 2 + 9x + 6 + 8x - 5 + 46 = 360

Combine like terms.

21x + 45 = 360

Subtract 45 from both sides.

21x = 360 - 45

21x = 315

x = 15

Therefore:

Answer:

-6

Step-by-step explanation:

-30÷5=-6

this is the ans

Answer:

9

Step-by-step explanation:

Question:

Minimum number of balls to ensure there is at least one ball of each colour marked with each number.

The quantity of distinct numbers are:

red: 4

Yellow 3

Blue 2

So the minimum number of balls to satisfy the given requirements is

4+3+2= 9

When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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There are 5,280 ft in a mile.

To convert miles to feet, you can multiply the number of miles by 5,280. Conversely, to convert feet to miles, you can divide the number of feet by 5,280.

This is because 1 mile is equal to 5,280 feet.It's important to note that there are other units of measurement used to express distance, such as kilometers, meters, and yards.

When converting between units of measurement, it's important to use the correct conversion factor to ensure accurate results.

This conversion is widely used for example in real estate, transportation and sports. It's important to keep in mind that there are also other ways to express distance such as kilometers, meters, and yards.

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The 90% confidence interval is: (2.51, 3.22)

It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.

We have the following information :

The level of significance is calculated as:

\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)

The degrees of freedom for the case is:

df = n - 1

df = 15 - 1

df = 14

The 90% confidence interval is calculated as:

=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)

= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 0.3547

= (2.51, 3.22)

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If θ is an angle in Quadrant IV and cos(θ) = 4√41 / 41, we can determine the value of sin(θ) using the Pythagorean identity for trigonometric functions. In Quadrant IV, sin(θ) is positive, so we can write:

sin(θ) = √(1 - cos^2(θ))

Plugging in the given value of cos(θ), we have:

sin(θ) = √(1 - (4√41 / 41)^2)

= √(1 - (16 * 41 / 41^2))

= √(1 - (656 / 1681))

= √(1025 / 1681)

To simplify the square root, we can rewrite it as:

sin(θ) = √1025 / √1681

Simplifying further, we get:

sin(θ) = 32√41 / 41

Therefore, the correct answer is a. 32√41 / 41.

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Answer:

11

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

6+5=11

(sum means addition)

Hope this helps! :)

In the given trapezoid, The expression for b in terms of A and a is b = (2A - ah)/h.

In a trapezoid, the bases are the parallel sides, and the height is the perpendicular distance between the bases. The formula to calculate the area of a trapezoid is A = (a + b)/2 * h, where A represents the area, a and b are the lengths of the bases, and h is the height. The question asks us to express b in terms of A and a.

To do that, we can rearrange the formula for the area to solve for b. Multiply both sides of the formula by 2 and divide by h to isolate (a + b):

2A = (a + b) * h.

Next, we distribute the h to both terms on the right side:

2A = ah + bh.

Now, subtract ah from both sides:

2A - ah = bh.

Finally, divide both sides by h to solve for b:

b = (2A - ah)/h.

In a trapezoid, the area is calculated using the formula A = (a + b)/2 * h, where A represents the area, a and b are the lengths of the bases, and h is the height. To express b in terms of A and a, we can rearrange the formula by isolating b. By multiplying both sides of the equation by 2 and dividing by h, we obtain 2A = (a + b) * h. Next, we distribute the h to both terms on the right side to get 2A = ah + bh. We then subtract ah from both sides to yield 2A - ah = bh. Finally, dividing both sides by h allows us to solve for b, resulting in the expression b = (2A - ah)/h.

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Answer:

According to the pythagorean theorem, a^2 + b^2 =c^2

c signifies the hypotenuse

a and b are the two legs

the sum of the two legs squared measures will equal the measure of the hypotenuse squared.

Step-by-step explanation:

Answer:   (P.s its very hard to write special characters here, i hope this helped though)

((−6d0)(g−3))(h2)

d−5m3g−2h5

=

−6d5g2h2

g3h5m3

=

−6d5

gh3m3

Answer:

total men 98 so if theres 200  subtract 98 from 200

=102 girls

Step-by-step explanation:

Answer:

The correct answer is A.

Step-by-step explanation: