its asking to calculate the mean and median of jonhathan grades and tristian grades?​

Answer: -1/6

Step-by-step explanation: Start by changing the minus a negative

to plus a positive, so we have -2/3 + 1/2.

Since our denominators of 3 and 2 have no factors in common,

our least common denominator is 3 · 2 or 6.

In order to get a denominator of 6 in each fraction,

we multiply top  and bottom of the first fraction by 2

and top and bottom of the second fraction by 3.

That gives us -4/6 + 3/6 which simplifies to -1/6.

AnswerAnswer:

Step-by-step explanation:

-0.16666666666

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Answer:

  (i) 55.59 km/h

  (ii) 3600 nautical miles ≈ 6670.8 km

  (iii) 30°N 29.3°E

Step-by-step explanation:

(i) The speed in km/h requires a units conversion.

  (30 kt/h)(1.853 km/kt) = 55.59 km/h

__

(ii) Here, we assume we're interested in the distance traveled. If the course is "due east", we presume that means it follows the 30° latitude line, so is not the shortest route between A and B. That is, the distance from A to B will be different from the distance traveled. (The shortest route from A to B is along a great circle.)

  distance = speed × time

  distance = (30 kt/h)(120 h) = 3600 nautical miles

  = (55.59 km/h)(120 h) = 6670.8 km

__

(iii) The radius of the 30° latitude line is ...

  (6370 km)(cos(30°)) = 3185√3 km ≈ 5516.58 km

The relationship between arc length (s) and central angle (α) is ...

  s = rα

So, the change in the vessel's longitude is ...

  α = (6670.8 km)/(5516.58 km) ≈ 1.20923 radians ≈ 69.28°

Then town B has longitude ...

  40°W -69.3° = -29.3°W = 29.3°E

The position of town B is about 30°N 29.3°E.

_____

Additional comment

The route supposedly taken by this sea vessel is from the middle of the North Atlantic to a town in northern Egypt, through the northern Sahara desert. The eastern end point is shown in the attachment.

Some spherical trigonometry is involved if you want to find the end point of the great-circle route of the same length.

Answer:

Draw two circles, fill them in, then another circle split into 5 parts, and fill in 4 of the parts

Step-by-step explanation:))))

Answer:

280 girls

Step-by-step explanation:

wordssssssssssss

Answer: m=3/2

Step-by-step explanation: the slope starts from the left side and the line is going up meaning its positive, now the line is going up by 3s and to the right in 2s.

Answer:

96cm^2

Step-by-step explanation:

[tex]area \: of \: parallelogram \\ = 12cm \times 8cm \\ = 96 {cm}^{2} [/tex]

Answer:

1. (3,0)

2. 3 miles

Step-by-step explanation:

1. You can use any online coordinate plane or make one yourself on graph paper) graph each point on the coordinate plane you will see the diagonal line segment that is forming. connect the points on the graph. From that, you can see they are 2 squares away so just count down 2.

2. Again, graph the points on a coordinate plane and you can count each grid box until you count 3 boxes right on the axis and 1 grid= 1 mile 3 grids= 3 miles

Options A and B are correct. If Katarina asks Dacia how she can derive the formula r= x²+y², then the following statements should be Dacia's reply.

Given the equation by Katarina expressed as:

r = √x²+y²

One of the ways Katarina can derive the equation is to use the Pythagoras theorem which states that the sum of the square of the hypotenuse is equal to the sum of the other two sides. Let:

r be the length of the hypotenuse

x and y be the other two sides

According to the theorem:

r² = x² + y²

Take the square root of both sides

√r² = √x² + y²

r = √x² + y²

Also, Katarina can use the trigonometry identity. According to a right triangle where:

sinθ = y/r

Cosθ = x/r

According to trigonometry identity, sin²θ+cos²θ = 1

(y/r)² + (x/r)² = 1

y²/r² + x²/r² = 1

(y²+x²)/r²  = 1

y²+x²  = r²

Swap

r²=y²+x²

This shows that the first two options are correct.

Because r is the hypotenuse of a right triangle, with legs x and y, you can use the Pythagorean theorem to determine 'r

r is a straight line distance from the point and can be projected onto x and y axes where x = rcosθ, y = rsinθ. Writing sinθ = y/r, Cosθ = x/r and using the identity sin²θ+cos²θ = 1

Learn more here: https://brainly.com/question/15610639

Answer: 4 terms

Step-by-step explanation:

-4a , 8c, -4b, and 3

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Answer:

  -$32

Step-by-step explanation:

The value went down by $32.

Expressed as a signed integer, the value in dollars changed by -32.

Answer:a 5cm

Step-by-step explanation:

Answer:

16 table each table seats 22 so 16 * 22 = 352

Step-by-step explanation:

Answer:

126 cats .................

126 dogs........

Answer:

Step-by-step explanation:

Given,

Perimeter of a triangle = 75

One side of the triangle = 5x

Therefore,

By the problem,

5x + 5x + 5x = 75

=> 15x = 75

=> x = 75/15

=> x = 5 (Ans)

Answer:

[tex] log_{2}(x) \times \frac{1}{3} log_{2}(x) \\ \\ = log_{2}x + log_{2}(x) {}^{ \frac{1}{3} } \\ \\ { \boxed{ \boxed{= log_{2} \{x + ({x})^{ \frac{1}{3} } \}}}}[/tex]

The expression that can be used to show how  many dresses she can make from the lace is [tex]\frac{7}{12}[/tex] ÷[tex]\frac{1}{8}[/tex]

In order to determine how many dresses can be made from the lace, divide the yards of the lace by how many yards are needed to make the dress

Number of dresses that can be made = [tex]\frac{7}{12}[/tex] ÷ [tex]\frac{1}{8}[/tex]

Solving this equation, 4 dresses can be made from the lace

7/12 x 8/1 = 4.67 dresses

A similar question was solved here: https://brainly.com/question/9328992

Step-by-step explanation:

let the ration be c

3x and 4x

Now

3x +4x=24

Answer:

19

Step-by-step explanation:

- To evaluate this expression, we simply have to substitute the variables for their values.

x²+yz

(-3)² + (5)(2)

9 + 10

= 19

Answer:

not sure what is the question

Step-by-step explanation:

Answer:

Slope: 3/4

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

2x+2-x+5=0

x+2+5=0

x+7=0

x = -7

So the answer is -7

Given:

[tex]\to \bold{ (2x+2)-(x+5)=0}[/tex]

To find:

x=?

Solution:

[tex]\to \bold{ (2x+2)-(x+5)=0}\\\\\to \bold{ (2x+2-x-5)=0}\\\\\to \bold{ (x-3)=0}\\\\\to \bold{ x-3=0}\\\\\to \bold{ x=3}\\\\[/tex]

Learn more:

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Answer:

x = 3

Step-by-step explanation:

Step 1: 0 = 3x - 9

Step 2: -3x = -9

Step 3: x = 3

9,000

I hope this helps!

9514 1404 393

Answer:

  $2400

Step-by-step explanation:

The question is asking the amount invested in fund B. We can let 'b' represent that amount. Then the amount invested in fund A is (6000-b). The total profit from the investments is ...

  0.02(6000 -b) +0.07(b) = 0.04(6000)

  120 +0.05b = 240 . . . . . simplify

  0.05b = 120 . . . . . . . . . subtract 120

  b = 2400 . . . . . . . . . . .divide by 0.05

Alonzo invested $2400 in fund B.

Answer:

1360

Step-by-step explanation:

there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.

As education level increases the unemployment rate decreases this is a negative linear type correlation.

There are three main types of correlations they are positive linear correlation where both the variables related to each other increase or decrease simultaneously.

In negative linear correlation between two variables if one variable is increasing the other starts to decrease and vice versa and the third type of correlation is where there is no correlation increase and decrease happen in random way that is quite difficult to form in terms of numerical form or graphing them.

According to the given statement as education level increases the unemployment rate decreases.

This is an example of negative linear correlation as one variable increases the other related to it decreases.

Increase in education level decreases unemployment as with higher education people learn new skills,they become more aware of their surroundings and most importantly education teaches us to think logically these are the things that a co-operate world wants.

learn more about correlation here :

https://brainly.com/question/13956667

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