AGE GROUP 25-----29 30-----34 35-----39 40-----44 45------49 50-----54 55------59
NUMBER OF PERSONS 3 7 21 28 23 6 1 Calculate: Mean, Median and Mode.​

Answer:

y=-35

Step-by-step explanation:

Steps

$\frac{y}{5}-=-7$

$\mathrm{Subtract\:}-\mathrm{\:from\:both\:sides}$

$\frac{y}{5}=-7$

$\mathrm{Simplify}$

$\frac{y}{5}=-7$

$\mathrm{Multiply\:both\:sides\:by\:}5$

$\frac{5y}{5}=5\left(-7\right)$

$\mathrm{Simplify}$

$y=-35$

Answer:

y = 35

Step-by-step explanation:

    multiply by -5 on both sides

    -5 and -5 cancel out

    -5 times -7 is 35

    y = 35

We can put the values in the equation to find the bearing: SBx = cot(98°20'06'') + cot(38°36'38'') / tan(50°54'26'') x tan(75°47'12'')SBx = 1.0802⇒ SBx = 47°06'05''So, the bearing of BCD is SB47∘06′05′′.Hence, option (c) is the correct answer.

The angle at point B.ABC = angle at B = 66∘36′10′′Azimuth AB = 343∘26′14′′, thus angle from South in a clockwise direction is 180 - 343∘26′14′′ = 16∘33′46′′. Given that the bearing of AB = SB 3∘08′24′′ W. Thus angle between AB and SB = 90° - 3∘08′24′′ = 86∘51′36′′. Using the Law of sines we can calculate the distance BD sin(BDC) = BD / BDC sin(180° - ABC - BDC) = BD / BC. Calculating BC Because BC is common, so we will use the angle BCD and angle ABCBD = BC x [sin(180° - ABC - BDC) / sin(BDC)]BD = BC x [sin(ABC + BDC) / sin(BDC)]BD = BC x BD = BC x BD = BC x [sinABCcotBDC + cosABC].

To calculate the required bearing, we need to calculate angle ABD.ABD = 180° - angle ABC - angle BCDABD = 180° - 66∘36′10′′ - 38∘36′38′′ABD = 75∘47′12′′Now we can calculate the bearing of BD. Let SBx be the bearing of BD, then⇒ tanSBx = BD / AB⇒ tanSBx = BC x [sinABCcotBDC + cosABC] / ABtanSBx = sinABCcotBDC + cosABC / cosABC / sinABCtanSBx = cotBDC + cotABC / tanABCcotSBx = 1 / (tanABCtanBDC)

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Answer:

Mean of data set 28,44,20,20 = (28+44+20+20)/4 = 112/4=28.

Step-by-step explanation:

A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas.  

A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas. Every variable in the equation "literally" represents a crucial aspect of the overall relationship that the equation expresses. Multiple letters or variables make up a literal equation. Examples include the formula for calculating speed (v=Dt) and the area of a circle (A=r2). In this part, we resolve straightforward one-variable equations.

Alternatively,

Ax +By = C

Any sign that crosses over equal(=) signs always change

In this case, Ax crosses over to C

By = C - Ax

To eliminate y from By, then

By/y = (C - Ax) /y

y cancel out y on the left side

B  = (C - Ax) /y

The complete question is,

Solve for B in the literal equation Ax+By=C

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The ratio of the mass of Earth to the mass of Jupiter is equal to 3.14*10⁻³, thus option B is correct.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

Given, the mass of Earth = 5.97*10²⁴ kg

Also, mass of Jupiter = 1.90*10²⁷ kg

Hence, ratio of mass of Earth to Jupiter is calculated by dividing mass of Earth upon the mass of Jupiter.

Ratio = (5.97*10²⁴/1.90*10²⁷ )

= 3.14*10²⁴⁻²⁷

= 3.14*10⁻³

Thus, the ratio of the mass of Earth to the mass of Jupiter is equal to 3.14*10⁻³, thus option B is correct.

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Answer:

y=-1/2m+4

Step-by-step explanation:

in photo :)

The statement that cannot be assumed based on the figure is that

<DBC is vertical to <FDE. This makes option B the answer.

The given data consist of various intersections and line types however the line type used to vertical angles are not among.

The line type responsible for vertical angles or used for vertical angle theorem is the parallel lines and a transversal line. This two lines are used together to prove or get angles that are vertical

We can therefore conclude that <DBC is vertical to <FDE is the the correct option

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Answer:

Step-by-step explanation: Explanation:

You need to use the formula for slope:

m

=

y

2

−

y

1

x

2

−

x

1

m

represents the slope.

You need to assign each coordinate, but it must correspond.

For example:

In the coordinate

(

2

,

−

3

)

,

2

is

x

1

and

−

3

is

y

1

.

In the coordinate

(

5

,

2

)

,

5

is

x

2

and

2

is

y

2

.

Now you plug this in.

m

=

2

−

(

−

3

)

5

−

2

After this, you need to simplify

m

=

5

3

This may be wrong so double check.

let's solve:-

\(the \: formula \:to \: find   \: slope \: \bold \green{m = \frac{y2 - y1}{x2 -x1}} \\ \\ \sf{(where \: m \:  represents \: the \: slope.)} \\ \\ \)

Here:-

\( \bold \red{\boxed{y2 = - 3} }\\ \bold \red{\boxed{y1 = - 3} }\\ \bold \red{\boxed{x2 = 5}} \: \: \: \\ \bold \red{\boxed{ x1 = 2} }\: \: \: \)

\( \large\boxed {\sf{↬putting \: values \: according \: to \: formula}}\)

\( \large \bold{↬m = \frac{ - 3 - ( - 3)}{5 - 2}} \\ \\\large \bold{↬m = \frac{ - 3 + 3}{5 - 2} } \: \: \: \: \: \: \: \\ \\ \large \bold{↬m = \frac{0}{3} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \bold\blue{↬m = 0} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

To prove that δqrev in equation 6.1 is not an exact differential, we can use the criterion developed in math chapter d. The criterion states that if a differential equation is exact, then its partial derivatives must satisfy the condition ∂M/∂y = ∂N/∂x.

In equation 6.1, δqrev is defined as δqrev = TdS. If we express δqrev in terms of its partial derivatives, we get:
∂(δqrev)/∂S = T
∂(δqrev)/∂T = S

Now, let's calculate the partial derivatives of ∂(∂(δqrev)/∂S)/∂T and ∂(∂(δqrev)/∂T)/∂S:
∂(∂(δqrev)/∂S)/∂T = ∂T/∂S = 0 (since T does not depend on S)
∂(∂(δqrev)/∂T)/∂S = ∂S/∂T = 0 (since S does not depend on T)

Since these partial derivatives are equal to zero, we can conclude that δqrev is not an exact differential, as it does not satisfy the condition ∂M/∂y = ∂N/∂x.

Therefore, we have proven that δqrev in equation 6.1 is not an exact differential.

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Given:

The expression is:

\(\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}\)

To find:

The simple product.

Solution:

We have,

\(\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}\)

It can be written as:

\(=\dfrac{5\times 5\times x\times x}{2(x+3)}\cdot \dfrac{2}{5x}\)

Cancel out the common factors.

\(=\dfrac{5\times x}{x+3}\)

\(=\dfrac{5x}{x+3}\)

Therefore, the correct option is C.

The amount remaining out the money earned is $37.5

Given the following parameters

Amount earned by kevin = $80

If he spent $68/5 on shopping, $51/2 on food, and $22/5 for taxi, the total money spent is given as;

Total money spent = 51/2 + 68/5 + 22/5

Total money spent = 51/2 + 90/5

Total money spent = 25.5 + 18

Total money spent = 43.5

Amount remaining = 80. - 43.5

Amount remaining = 37.5

Hence the amount remaining out the money earned is $37.5

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16  is the approximate interquartile range (iqr) of the ages .

What does IQR, or interquartile range, mean?

The spread of the middle half of your data is measured by the interquartile range (IQR). The IQR shows the difference between the lowest and highest readings for that particular week. The spread in the center of the data for that week is roughly represented by the IQR.

                       It is the range for your sample's middle 50%. To evaluate the variability where the majority of your results are located, use the IQR. Larger values suggest a wider dispersion of the central component of your data. The first quartile (Q1) and third quartile (Q3) of these values (Q3). What separates Q3 from Q1 is known as the IQR.

IQR  = Q3 - Q1

       = 20 - 4

       = 16

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Linear combination of u and v is c1u + c2v where c1,c2 are scalars, eg. (1, -12), (2.5, -7), (6.5, -4.5).

What is vector ?

Vector is a term that refers colloquially to some quantities that cannot be expressed by a single number, or to elements of some vector spaces.

A linear combination of vectors u and v is a vector of the form c1u + c2v, where c1 and c2 are scalars. There are infinitely many possible linear combinations of u and v, here are three examples:

c1u + c2v = (1) (3, -2) + (2) (-1, -5) = (3 + -2, -2 - 10) = (1, -12)

c1u + c2v = (0.5) (3, -2) + (-1) (-1, -5) = (1.5 + 1, -2 - 5) = (2.5, -7)

c1u + c2v = (2) (3, -2) + (-0.5) (-1, -5) = (6 + 0.5, -2 - 2.5) = (6.5, -4.5)

that these are just three examples, there are many more possible linear combinations of u and v.

Linear combination of u and v is c1u + c2v where c1,c2 are scalars, eg. (1, -12), (2.5, -7), (6.5, -4.5).

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Answer:

There might be 31 or 32

Step-by-step explanation:

I would have a better answer if i knew the probability of the blue marbles being chosen srry.

The probability that you will get through the door without returning for more keys is 0.03.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

Probability door is locked = 0.7

The probability that you will get through the door without returning for more keys will be:

= (1 - P(locked)) × P(key)

= (1 - 0.7) × 0.1

= 0.3 × 0.1

= 0.03

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Answer:

0.71 weeks

Step-by-step explanation:

To convert 5 days to weeks, we can use the conversion factor:

1 week = 7 days

Therefore, we have:

5 days = 5/7 weeks

Rounding to the nearest hundredth, we get:

5 days ≈ 0.71 weeks

Therefore, 5 days is approximately equal to 0.71 weeks.

Answer:

Step-by-step explanation:

2x + 3y = 1240       and    x = 2y - 10

so:

                 +20         +20

                       ÷7       ÷7

The heap-sorting-based algorithm for finding the k smallest positive elements from an unsorted array has an expected analytical time complexity of O(n + k log n).

Constructing the Heap:

Start by constructing a max-heap from the given array.

Since we are only interested in positive elements, we can exclude the negative elements during the heap-building process.

To build the heap, iterate through the array and insert positive elements into the heap.

Extracting the k smallest elements:

Extract the root (maximum element) from the heap, which will be the largest positive element.

Swap the root with the last element in the heap and reduce the heap size by 1.

Perform a heapify operation on the reduced heap to maintain the max-heap property.

Repeat the above steps k times to extract the k smallest positive elements from the heap.

Time Complexity Analysis:

Heap-building: Building a heap from an array of size n takes O(n) time.

Extracting k elements: Each extraction operation takes O(log n) time.

Since we are extracting k elements, the total time complexity for extracting the k smallest elements is O(k log n).

Therefore, the overall time complexity of the heap-sorting-based algorithm for finding the k smallest positive elements is O(n + k log n).

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Answer:5

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Each pizza Remy can feed 4 people.

Remy has 5 pizzas.

4x5=20

Answer: 10 (ten) is an even number

following 9 and preceding 11

Step-by-step explanation:

The value of the missing length in the image shown using the Pythagoras theorem is x = 65

An equation is an expression that shows the relationship between two or more variables and numbers.

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle.

Let h represent the missing red line. Using Pythagoras:

x² = h² + 25²

h² = x² - 25²

Also:

r² = h² + 144²

r² = x² - 25² + 144²

And:

(144 + 25)² = r² + x²

(144 + 25)² = (x² - 25² + 144²) + x²

x = 65

The value of the missing length in the image shown using the Pythagoras theorem is x = 65

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Answer:

A= 100+20h B=40h

Step-by-step explanation:

A=100+20h

B= 40h

Answer:

For company A:

100 + (20h)

OR

100 + (20 x h)

For company B:

40h

OR

40 x h

Step-by-step explanation:

For company A, you are multiplying 20 by h because you must pay $20 per hour. Then, you have to add 100 to that because there is a $100 dollar rental fee.

For company B, you are multiplying 40 by h because you must pay $40 per hour. There is no rental fee, so that means you don't have to add anything.

Hope this helps!

Answer:

We can estimate a population of 500 birds.

Step-by-step explanation:

We can estimate the total bird population using a rule of three with the information given:

If we find 5 birds with the foot band among 100 birds captured, how many birds there are in total if inicially we put foot bands in 25 birds?

5 birds with foot band -> 100 birds captured

25 birds with foot band -> X total birds

X * 5 = 25 * 100

X = 25 * 100 / 5 = 500 birds

We can estimate a population of 500 birds.

Answer:

Morón’s rectangle

To find : What is the area of Morón’s rectangle

Solution:

in Morón’s rectangle   ( fig attached)

There are 9 Square with Side

1 , 4 , 7,8,9,10,14,15 & 18

Area of Square = Side²

1² = 1

4² = 16

7² = 49

8² = 64

9² = 81

10² =100

14² = 196

15² = 225

18² = 324

Total Area = 1 + 16 + 49 + 64 + 81 + 100 + 196 + 225 + 324

= 1056

Area of  morón’s rectangle  =  1056  

1056 = 33 * 32  

(18 + 15 = 33) , ( 18 + 14 = 32)

Step-by-step explanation:

In order to calculate the Mean Squared Error (MSE) for each region, you will need to have a dataset with values for each region.

Once you have this dataset, you can calculate the MSE using the following formula:

MSE = 1/n x ∑(yi - ŷi)²

where n is the number of data points in the region, yi is the actual value for the ith data point, and ŷi is the predicted value for the ith data point. Once you have calculated the MSE for each region, you can compare the values to determine if the variability around the fitted regression line is approximately the same for each region.

If the MSE values are similar for each region, then the variability around the fitted regression line is approximately the same. If the MSE values are different for each region, then the variability around the fitted regression line is not the same for each region.

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Answer:

B and C

Step-by-step explanation:

Just not linear lol

Answer:

Scalene Obtuse Triangle

Explanation:

Given the triangle in the attached image.

Classifying based on sides;

The triangle is a Scalene Triangle because all the sides of the triangle are different in sizes, no two sides are equal.

Also classifying based on angles;

The triangle ia an Obtuse Triangle because it has one of its angle greater than 90 degrees, it consist of one obtuse angle.

Therefore, combining the two classifications, The triangle is a Scalene Obtuse Triangle.

P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To find the probability that at least 200 out of 210 college graduates under age 20 are employed, we can use the binomial distribution formula:
P(X ≥ 200) = 1 - P(X < 200)
where X is the number of employed college graduates under age 20 out of a sample of 210.
We know that the unemployment rate for college graduates under the age of 20 is 7%. Therefore, the probability of an individual college graduate being unemployed is 0.07.
To find the probability of X employed college graduates out of 210, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (210), k is the number of employed college graduates, and p is the probability of an individual college graduate being employed (1-0.07=0.93).
We want to find P(X < 200), which is the same as finding P(X ≤ 199). We can use the cumulative binomial distribution function on a calculator or software to find this probability:
P(X ≤ 199) = 0.000000000000000000000000000001004 (very small)
Therefore, P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

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