If (X-Y,X+Y )= (6,10 ) , find x and y!!

Answer:

Your friends data

Step-by-step explanation:

The rule of statistics is: the more exact the data, the better.

It looks like you just rounded your data to the nearest tenth. This is good, but not nearly as good as rounding it to the nearest hundredth.

This is because when you have data that is more exact, you get a better estimation for mean, median, etc. This can help make patterns in your data.

This means that your friend had better data than you.

Hope this helped!

The probability of landing on the red shaded circle is 6/18

Probability simply measures the chances at which an event could occur in a sample or population.

Mathematically, Probability is calculated thus:

Here ,

P(red circle ) = 6/18

Therefore, the probability is 6/18

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The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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Where θ is the smallest angle of the right angle triangle, the value of cos θ is 0.8.

A right angle triangle are triangle that has one of its angles as 90 degrees. The other angles can be found using trigonometric ratios.

The two legs of the triangle are 33 cm and 44 cm. The hypotenuse of a right angle triangle is the longest side. The other sides are called legs.

Therefore, cos θ can be express as follows:

cos θ  = adjacent / hypotenuse

h²= 33² + 44²

h = √3025

h = 55

hypotenuse = 55 cm

θ is the smallest angle

Therefore,

cos θ  = 44 / 55

cos θ  = 4 / 5

cos θ  = 0.8

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Answer:

83

Step-by-step explanation:

1∇2= (2+2^1)

=2+2=4

(4)∇3= (2+3^4)

=2+81

=83

Answer:

AB = 5 units

BC = 5\(\sqrt{2}\) units

AC = \(\sqrt{41}\) or about 6.4 units

Step-by-step explanation:

distance formula:  square root of the sum of the difference of the y-values and the difference of the x-values

ex, dAB = √(4-0)² + (3-0)²

              = √16 + 9

              = √25

              = 5

Answer:

Is just a letter identifying the angle.

Since,Angles of a triangle sum up to 180 ,u add both the given numbers and subtract it from 180

D) 1  9/50

Hi !

1.18 = 118/100 = 1  18⁽²/100 = 1  9/50

Good luck !

1.18 can be rewritten as a fraction in lowest terms as

D. 1 9/50

1. Write the number as a fraction with a denominator of 100:

1.18 = 118/100

2. Simplify the fraction by dividing the numerator and denominator by the greatest common factor:

The greatest common factor of 118 and 100 is 2.

3. Dividing both the numerator and denominator by 2 gives:

118/100 = 59/50

4. Write 59/50 as improper fraction:

118/100 = 59/50 = 1 9/50

Therefore, 1.18 can be rewritten as 1 9/50  in lowest terms.

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Answer: y=\(\frac{3x}{2}\)+6

Step-by-step explanation:

isolate y by dividing both sides by 2

y=3x+12/2

y=\(\frac{3x+12}{2}\)

y=\(\frac{3x}{2}\)+6

The distance will be in the decimal form is :41.34

Consider the triangle :

Where “a” is the perpendicular,

“b” is the base,

“c” is the hypotenuse.

According to the definition, the Pythagoras Theorem formula is given as:

\(Hypotenuse^2 = Perpendicular^2 + Base^2\)

\(c^2 = a^2 + b^2\)

We have the points are:

15,-17 and -20, -5

To find the distance between them.

The distance of x- axis is:

15 - (-20)

= 15 + 20

= 35

The distance of y- axis is:

|17 - 5| = |-22| = 22

We can now use the Pythagorean theorem (a²+b²=c²) with our imaginary triangle:

\(x^2+y^2=(distance)^2\)

\(35^2+22^2=distance^2\)

\(1709= distance^2\\Distance = \sqrt{1709}\)

In decimal form the distance would be around 41.34.

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Answer:

44

Step-by-step explanation:

3 x 12 = 36 + 8 = 44

Answer:

(see below)

Step-by-step explanation:

First, you know that the first statement given is Given.

Now that you have that, you want to concentrate on your goal, and that goal is to prove that ΔGHI is an isosceles. To do this, you need to prove that the two base angles or two adjacent sides are congruent.

To do this, you can prove ΔGHJ ≅ ΔIHJ first, then use CPCTC.

Because HJ is the perpendicular bisector of GI, GJ ≅ IJ. this will be under Definition of Perpendicular Bisectors because it's a line which cuts a line segment into two equal parts at 90°.

This also means that ∠GJI and ∠IJH are right angles under Definition of Perpendicular Bisectors. Do not combine the two statements.

To clarify everything, ∠GJI ≅ ∠IJH because "all right angles are congruent."

It's also clear that these two triangles share a side, so HJ ≅ HJ. This is the Reflexive Property of Congruence, stating that for any real number a, a ≅ a.

Now you can prove these two triangles congruent by the SAS Postulate.

Using CPCTC, corresponding parts of congruent triangles are congruent, GH ≅ HI.

Your last statement should be ΔGHI is an isosceles because of Definition of Isosceles Triangle. You also want to state the statement exactly as given as the question.

Your proof should look something like IMAGE.A.

Answer:

First pupil will have 40 crayons

Second pupil will have 20 crayons

Step-by-step explanation:

Ratio will be 2:1, total ratio = 2+1 = 3

First pupil

\( = { \tt{ \frac{2}{3} \times 60 }} \\ \\ = { \tt{40 \: crayons}}\)

Second pupil

\( = { \tt{ \frac{1}{3} \times 60}} \\ \\ = { \tt{20 \: crayons}}\)

Answer:

he will eat 35/64  of the whole pie

Step-by-step explanation:

i hope i helped

Answer:

Minimum 8 at x=0, Maximum value: 24 at x=4

Step-by-step explanation:

Retrieving data from the original question:

\(f(x)=x^{2}+8\:over\:[-1,4]\)

1) Calculating the first derivative

\(f'(x)=2x\)

2) Now, let's work to find the critical points

Set this

\(2x=0\\x=0\)    

0, belongs to the interval. Plug it in the original function

\(f(0)=(0)^2+8\\f(0)=8\)

3)  Making a table x, f(x) then compare

x|  f(x)

-1 | f(-1)=9  

0 | f(0)=8   Minimum

4 | f(4)=24 Maximum

4) The absolute maximum value is 24 at x=4 and the absolute minimum value is 8 at x=0.    

The expected values of the raffle ticket for you are given as follows:

For the PTO, the expected values are given as follows:

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

For you, the distribution is given as follows:

Hence the expected value for one ticket is given as follows:

E(X) = 62/280 - 4 x 279/280

E(X) = -$3.76.

For twelve tickets, the expected value is given as follows:

12 x -3.76 = -$45.12.

For the PTO, we use the inverse signals, as the distribution is the inverse, that is:

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Answer:

\(\frac{5}{8}\)

Step-by-step explanation:

Given:

Total number of glasses = 16

Number of glasses containing prune juice = 4

Number of glasses containing apple juice = 2

To find:  fractional part of the glasses that contain beverages ( perhaps, H2O) other than prune juice and apple juice

Solution:

A fraction refers to the parts of a whole. In a fraction, a top number is the numerator, and a bottom number is the denominator.

Number of glasses that contain beverages ( perhaps, H2O) other than prune juice and apple juice = 16 - 4 - 2 = 10

Total number of glasses = 16

So,

Fractional part of the glasses that contain beverages ( perhaps, H2O) other than prune juice and apple juice = \(\frac{10}{16}=\frac{5}{8}\)

Answer:

The value of x is 19.

Step-by-step explanation:

Given:

m∠1 = (4x + 9)°

m∠2 = (x - 14)°

Since m∠1 and m∠2 are complementary angles, we have:

m∠1 + m∠2 = 90°

Substituting the given expressions for m∠1 and m∠2:

(4x + 9)° + (x - 14)° = 90°

Combining like terms:

4x + 9 + x - 14 = 90

Combining the x terms and the constant terms:

5x - 5 = 90

Adding 5 to both sides:

5x = 90 + 5

Simplifying:

5x = 95

Dividing both sides by 5:

x = 95 / 5

Simplifying further:

x = 19

Answer: 91m

Step-by-step explanation:

We set three sides of the triangle equal to 2x,6x,7x; because there is the ratio 2:6:7, which x is a common factor of these three sides.

P = a + b + c

2x + 6x + 7x = 195

    15x = 195

        x = 13

7x suppose be the longest side of the triangle, we plug in 13 for x, then:

7x = 7(13) = 91 m

Answer:

I will give you three, but the answer is the number that has a 50

Step-by-step explanation:

52

654

7657

50 is the numbers that have a 5 in 10 times the value of the 13,725.

Place value is the value of each digit in a number.

For example, the 5 in 350 represents 5 tens, or 50; however the 5 in 5006 represents 5 thousands, or 5000.

Now the given number is,

13,725

10 times of the number is givens as,

13,725*10

or, 137,250

here place value of 5 in 137,250 is 5 tens or 50.

Therefore, 50 is the numbers that have a 5 in 10 times the value of the 13,725.

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Hello,

I hope you and your family are doing well!

To find the value of the expression 6(6)-(12-3), we can use the order of operations. The order of operations states that we should perform the operations inside parentheses first, followed by exponents, then multiplication and division (performed left to right), and finally addition and subtraction (also performed left to right).

Following this order, we get:

6(6)-(12-3) = 6(6) - (9)

= 36 - 9

= 27

Therefore, the value of the expression 6(6)-(12-3) is 27.

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Answer: negative one third

Answer:

-1/3

Explanation:

There's a formula that I'll use to find the slope - it's called the slope formula.

\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data:

\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)

Simplify:

\(\sf{m=-\dfrac{4}{12}}\)

\(\sf{m=-\dfrac{1}{3}}\)

Hence, the slope is negative one-third.

There were approximately 6056 no votes.

Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.

Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.

The total number of votes is given as 9854, so we can set up the following equation:

\(5x + 8x = 9854\)

Combining like terms, we have:

\(13x = 9854\)

To solve for x, we divide both sides of the equation by 13:

\(x = \frac{9854 }{13}\)

\(x \approx 757.23\)

Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.

Now, we can find the number of no votes by multiplying x by the ratio of no votes:

No votes \(= 8x\)

\(= 8 \times 757\)

\(= 6056\)

Therefore, there were approximately 6056 no votes.

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Setting x = 0, we get the y-intercept: y = 31/5. So, the equation of the line is y = 6/5x + 31/5.

In geometry, a line intersect is a point where two or more lines cross or meet. When two lines intersect, they share a single point in common, which is called the point of intersection. This point of intersection is the solution to the system of equations formed by the two lines.

by the question.

To find different y-intercepts using the given slopes, we need to use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. To find the y-intercept, we can set x = 0 and solve for y.

For slope 1/5, let's choose the point (2, 3) on the line. Using the point-slope form, we get:

y - 3 = 1/5(x - 2)

y - 3 = 1/5x - 2/5

y = 1/5x + 13/5

Setting x = 0, we get the y-intercept: y = 13/5. So, the equation of the line is y = 1/5x + 13/5.

For slope 3/5, let's choose the point (4, 2) on the line. Using the point-slope form, we get:

y - 2 = 3/5(x - 4)

y - 2 = 3/5x - 12/5

y = 3/5x + 8/5

Setting x = 0, we get the y-intercept: y = 8/5. So, the equation of the line is y = 3/5x + 8/5.

For slope 6/5, let's choose the point (-1, 5) on the line. Using the point-slope form, we get:

y - 5 = 6/5(x + 1)

y - 5 = 6/5x + 6/5

y = 6/5x + 31/5

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Answer:

x = 2

y = 15

Step-by-step explanation:

As the triangle is split with a line that is parallel to the base:

\(\implies x:6=6:18\)

\(\implies \dfrac{x}{6}=\dfrac{6}{18}\)

\(\implies x=\dfrac{6\cdot 6}{18}\)

\(\implies x=\dfrac{36}{18}\)

\(\implies x=2\)

Similarly:

\(\implies y:20=6 : (6+x)\)

\(\implies y:20=6:8\)

\(\implies \dfrac{y}{20}=\dfrac68\)

\(\implies y=\dfrac{6 \cdot 20}{8}\)

\(\implies y=\dfrac{120}{8}\)

\(\implies y=15\)

Answer:

x= 5.18

y= 16.97

Step-by-step explanation:

Solve Y first-

trigonometric theorems-

\(c^2 =a^2 + b^2\\\\b^2 =c^2 - a^2\)

\(y^2 =18^2-6^2 \\y^2 =324 - 36\\y^2= 288\\\sqrt{2} = \sqrt{288} \\ y=16.97\)

solve x-

20-16.97=3.03

x=5.18

(I'm not sure if the answers are correct. I tried my best. I was confused to solve x though. )

Step-by-step explanation:

a) \(x^2 - 5x + 4 = (x - 1)(x - 4)\)

b) \(x^2 - 10x + 9 = (x - 1)(x - 9)\)

c) \(x^2 - 16x + 64 = (x - 8)^2\)

Let's evaluate the probability based on the given information.

The number of ways to choose 6 men from 26 can be calculated as:

C(26, 6) = 26! / (6! * (26-6)!) = 26! / (6! * 20!) = 230,230.

The number of ways to choose 6 women from 29 can be calculated as:

C(29, 6) = 29! / (6! * (29-6)!) = 29! / (6! * 23!) = 177,100.

The total number of possible outcomes is the combination of selecting 6 men and 6 women from the given pool of 26 men and 29 women:

Total outcomes = C(26, 6) * C(29, 6) = 230,230 * 177,100 = 40,795,315,300.

Therefore, the probability of selecting exactly 6 men and 6 women from the given pool is:

Probability = 1 / Total outcomes = 1 / 40,795,315,300 ≈ 2.45 x 10^-11.

Hence, the probability is approximately 2.45 x 10^-11.

Answer:

arcPSU = 224degrees

Step-by-step explanation:

From the given diagram;

arcPSU = arcPQ + arcQR + arcRS + arcST + arcTU

Given

arcPQ = arcTU

arcQR = arcRS = 37

arcAST = 90

Since 136 + arcPQ + 37+37+90+arcTU = 360

136+2arcPQ+ 37+37+90= 360

2arcPQ+300 = 360

2arcPQ = 360 - 300

2arcPQ = 60

arcPQ = 60/2

arcPQ = 30degrees

Substitute into the above expression

arcPSU = arcPQ + arcQR + arcRS + arcST + arcTU

arcPSU = 360 - arcPU

arcPSU = 360 - 136

arcPSU = 224degrees

Answer:

21

Step-by-step explanation:

(-4)(-2)+2(6+5)

(8)+2(11)

10+11

21

Hope this helps! :)

Answer:32

Step-by-step explanation: First, we do parentheses. 6+5 = 11. Next, we have to do multiplication (-4)(-2) is positive 8 because there are two negatives. 8+2 is 10 + 2(11) is 10+22 which is 32