A sky jump makes an angle of 27° with respect to the water as shown below. How are the 27° angle and the unknown angle related? What is the value of X?

Question:

Suppose we want to choose 3 colors, without replacement, from the red, blue, green, and purple.

(a)How many ways can this be done, if the order of the choices is taken into consideration?  

(b)How many ways can this be done, if the order of the choices is not taken into consideration?

Answer:

(a) 6 choices

(b) 3 Choices

Step-by-step explanation:

Given:

3 Colors

Order of choice : Red, Blue, Green

(a) Order of the choices taken into consideration :

When we are picking  the first colour there are 3 color choice.

When we are picking second colour there are 2 choice and so on.

Therefore, total choices are = 3*2 = 6 choices

(b) Order of the choices not taken into consideration :

When to take this option we choose as [tex]3 \times 2[/tex]  and the remove the duplicates

Therefore, choices are = [tex]\frac{(3 \times 2)}{(1 \times 2)}[/tex] =[tex]\frac{6}{2}[/tex] = 3 Choices

The concept of choosing colors without replacement has to do with probability, it means that once an item is selected, it is not put back in the set, thus changing the probability for the next selections.

The question involves the concept of probability in Mathematics, particularly in choosing colors without replacement. This refers to the situation where you are picking something out of a set (like colors or marbles in a bag) and you don't put it back again. This changes the probability for future picks.

For instance, consider a bag containing three colors - red, green and blue. If you want to pick any two colors without replacement, we have three options for the first pick and then two for the second pick as one color is already taken out from the bag and not replaced. These options are (red, green), (red, blue), (green, red), (green, blue), (blue, red), and (blue, green).

The same concept applies when dealing with different scenarios like picking cards from a deck or marbles from a bag. Each subsequent pick after the first pick without replacement has one less option to choose from resulting in changes in probabilities with each step.

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Answer:

4/100

Step-by-step explanation:

bc google is smart

Tan(angle) = opposite / adjacent

Tan(angle) = 4/5

Angle = arctan(4/5)

Angle = 38.66

Angle = 38.7

Step-by-step explanation:

Given data is 32,47,49,53,54,66,67,71,72

Median = [tex](\frac{n+1}{2}) ^{th}[/tex] term

            =[tex](\frac{9+1}{2} )^{th}[/tex] term

            =[tex]5^{th}[/tex] term

           =54

First quartile = [tex]\frac{1}{4} (n+1)^{th} term[/tex]

                     = [tex]\frac{47+49}{2}[/tex]

                     =48

Third quartile=[tex]\frac{3}{4} (n+1)^{th} term[/tex]

                     = [tex]\frac{67+ 71}{2}[/tex]

                     = 69

Interquartile range = (69- 48)

                                = 21

Answer:

27

Step-by-step explanation:

right on expo

Compound interest formula:

Amount = starting value x ( 1+ interest rate/compounds per year)^(compound per year x number of years)

Amount = 12,000,000 x (1+ 0.10/1)^(1x5)

Amount = 19,326,120.00

Answer:

eight and one thousandth.

Answer:

Eight and one thousandth

Step-by-step explanation:

Writing 8.001 in words is eight and one thousandth.

OR

Eight point zero zero one.

Note that the place value of the numbers are as follow:

8= units; 0 = tenth; 0 = hundredth and 1 = thousandth.

Immediately after the decimal point are tenth, hundredth and thousandth.

Answer:

X= -9/10

y= -2 3/5

Step-by-step explanation:

Multiply equation one by 4 and equation two by 3 to eliminate X

it becomes

-12x + 8y =-12

12x - 3y = -1

add equation one and two,

you'll be left with 5y= -13

divide both sides by 5

y = -13/5 improper fraction

= -2 3/5

Now substitut y = -2 3/5 into any of the original equations to get x.

using equation two, we have

4x -(-2 3/5) = -1

4x + 2 3/5 = -1

4x = -1 - 2 3/5

the LCM of 5 is 5 , so

4x = -5-13/5

4x = -18/5

crossmultiply

4x x 5 = -18

20x = -18

divide both sides by 20

we have x = -18/20, when you cancel further , you have x = -9/10

Answer:

2.25

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

4 goes into 9, two times which is why 2 is your whole number and 4 X 2 =8

The .25 is "4 x .25=1. And 8+1 equals 9.

Answthat 16 is 42,

Step-by-step explanation:

Understand factoring. ...

Divide by the smallest prime number possible. ...

Rewrite the square root as a multiplication problem. ...

Repeat with one of the remaining numbers. ...

Finish simplifying by "pulling out" an integer. ...

Multiply integers together if there are more than one.

Answer:

The co-ordinates which give the minimum value for the quadratic function are (-7, -47)

Step-by-step explanation:

i) the quadratic function f(x) = [tex]x^{2}[/tex]  + 14x + 2

                                             = [tex]x^{2}[/tex]  +   14x + 49 - 49 + 2

                                             =  [tex](x + 7)^{2}[/tex]   - 49 + 2

                                            = [tex](x+7)^{2}[/tex]  - 47

ii) The minimum value of the result of the quadratic equation in i) will be achieved when [tex](x + 7)^{2}[/tex] is zero as any square value is always positive and thus the minimum value of a square is always zero.

iii) [tex](x + 7)^{2}[/tex]  is zero when x  = -7 and when x = -7  then y = f(x) = -47

iv) The co-ordinates which give the minimum value for the quadratic function are (-7, -47)

Answer:

[tex]\$60.35[/tex]

Step-by-step explanation:

step 1

Find the total amount of money worked

Multiply 6.5 hours by the rate $11.50 / hour.

[tex]6.5(11.50)=\$74.75[/tex]

step 2

Find the total cost of the dinner

Remember that

[tex]100\%+20\%=120\%=120/100=1.2[/tex]

so

the cost of the dinner plus the tip is equal to

[tex]\$12(1.2)=\$14.4[/tex]

step 3

Find the amount of money left

Subtract the total cost from the total amount of money

so

[tex]\$74.75-\$14.4=\$60.35[/tex]

Answer:

242

Step-by-step explanation:

22=a/11

22*11= a

242 = a

a=242

Answer:

a=242

Step-by-step explanation:

The equation of the line is y = [tex]\frac{5}{4}[/tex] x +  [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

The form of the linear equation is y = mx + b, where

∵ A line passes through points ( [tex]\frac{2}{5}[/tex] , 5) and ( [tex]-\frac{2}{5}[/tex] , 4)

∴ [tex]x_{1}[/tex] =  [tex]\frac{2}{5}[/tex]  and [tex]x_{2}[/tex]  =  [tex]-\frac{2}{5}[/tex]

∴ [tex]y_{1}[/tex] = 5  and  [tex]y_{2}[/tex] = 4

- Substitute them in the rule of the slope to find m

∵ [tex]m=\frac{4-5}{-\frac{2}{5}-\frac{2}{5} }[/tex]

∴ [tex]m=\frac{-1}{-\frac{4}{5}}=\frac{5}{4}[/tex]

- Substitute it in the form of the equation

∴ y = [tex]\frac{5}{4}[/tex] x + b

- To find b substitute x and y in the equation by the coordinates

   of any point on the line

∵ Point ( [tex]\frac{2}{5}[/tex] , 5) lies on the line

∴ x = [tex]\frac{2}{5}[/tex]  and y = 5

∴ 5 = [tex]\frac{5}{4}[/tex] (  [tex]\frac{2}{5}[/tex] ) + b

∴ 5 = [tex]\frac{1}{2}[/tex] + b

- Subtract  [tex]\frac{1}{2}[/tex]  from both sides

∴ [tex]\frac{9}{2}[/tex]  = b

∴ y = [tex]\frac{5}{4}[/tex] x +  [tex]\frac{9}{2}[/tex]

The equation of the line is y = [tex]\frac{5}{4}[/tex] x +  [tex]\frac{9}{2}[/tex]

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Answer:

1.09 x 10^2

Step-by-step explanation:

1.39 x 10^6 / 1.27 x 10^4 = 1.09448818898

1.09448818898 is rounded 1.09

10^6-4 = 10^2

So, 1.09 x 10^2

The sun is approximately 109.29 times larger in diameter than the Earth.

To determine how many times larger in diameter the sun is compared to the Earth, we divide the diameter of the sun by the diameter of the Earth.

The diameter of the sun is 1.39 × 106 kilometers, while the diameter of the Earth is 1.27 × 104 kilometers.

Dividing the diameter of the sun by the diameter of the Earth, we get (1.39 × 106) / (1.27 × 104) = 109.29.

Therefore, the sun is approximately 109.29 times larger in diameter than the Earth.

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Answer:

(3y^2+2x^3)(3y^2-2x^3)

Step-by-step explanation:

Answer:

-8n-1

Step-by-step explanation:

n-1-9n=n-9n-1=-8n-1

The triangle given has base 60 and height 45

The scale says "1 unit:5 meters" which means that each unit on the grid is 5 meters. We can divide each dimension of the given triangle by 5 so we figure out how many units we'll need for each dimension of the new smaller triangle (that is similar to the original)

60/5 = 12

45/5 = 9

The smaller triangle must have a base of 12 and a height of 9

See the diagram below.

The area of this new triangle is (base*height)/2 = (12*9)/2 = 108/2 = 54 square units.

Answer: the one that has the correct notation form is correct

Step-by-step explanation: to the power is multilying

Answer:

slope = 0

Step-by-step explanation:

The graph of g(x) is a horizontal line parallel to the x- axis.

Since it is parallel to the x- axis it has a slope of zero

If two or more points have the same domain or x value, then it is not a function because points cannot have identical x values, only y values.

With this in mind, C is not a function because there are two 4s in the domain.

So looking at this our answer would be C because when you are trying to find if it is not a function you have to look for repeated X values or domains if there I s a problem with a repeated X value that would not be a function but if the Y values were to repeated that doesn’t really matter so yeah. Hopefully this helps!

Answer:

472.5

Step-by-step explanation:

This one is simple.

They way you figure this out is your times the amount of money for the original cost by the discout so the equation is 630 times .25 equals 157.5. You then take that disount price and minus it from the original price, which is 630 so the eqation 630 minus 157.5 equals 472.5.

Hope this helps and have a great day

Answer:

12

Step-by-step explanation:

x/3-9=-5

x/3=-5+9

x/3=4

x=4*3

x=12

Answer:

Step-by-step explanation:

Final answer:

To find percentages of numbers, convert the percent to a decimal and then multiply. To find the unknown quantity in an equation involving percentages, divide the given number by the percent expressed as a decimal.

Explanation:

To find 66 2/3 percent of 87, first convert the percent to a decimal by dividing it by 100: 66 2/3 ÷ 100 = 0.6667. Then multiply the decimal by 87: 0.6667 x 87 = 58.33. So, 66 2/3 percent of 87 is approximately 58.33.

To find 1 percent of 3,620, divide 3,620 by 100: 3,620 ÷ 100 = 36.2. So, 1 percent of 3,620 is 36.2.

To find x in the equation 62 1/2 percent of x is 5, first convert the percent to a decimal: 62 1/2 ÷ 100 = 0.625. Then divide 5 by the decimal: 5 ÷ 0.625 = 8. So, x is 8.

To find k in the equation 300 percent of k is 42, first divide 42 by 300: 42 ÷ 300 = 0.14. So, k is 0.14.

Answer:

Step-by-step explanation:

STEP 1:

-11b-4-(-b+3)....bracket the equation that you are subtracting and add a mins sign infront of the bracket because you are asked to subtract -b+3 from -11b-4.

STEP 2:

-11b-4+b-3

the minus sign infront of the bracket changes the minus sign to a positive (+)sign because a minus(-) timesed by a minus is a positive(+). and a minus timesed by a positive(+) is a negative(-)

STEP 3:

-10b-7

add the b values together(11b-b) = 10b

add the numericals together -4+(-3)= -7

STEP 4:

final answer is -10b-7

Answer:

200 marbles please rate brainliest

Step-by-step explanation:

Answer:

What do u mean

Step-by-step explanation:

Is it

[tex]7 + 7 + 7 = 3x[/tex]

?

Answer:

Step-by-step explanation:

I've already answered this question.

Answer:

Option d is incorrect.

Step-by-step explanation:

See the diagram attached.

a. [tex]\sin 30^{\circ} = \frac{AB}{AC} = \frac{4}{8}[/tex]. Hence, this is correct.

Here, sin Ф is given by perpendicular divided by the hypotenuse.

b. [tex]\cos 60^{\circ} = \frac{AB}{AC} = \frac{4}{8}[/tex]. Hence, this is also correct.

Here, cos Ф is given by base divided by the hypotenuse.

c. [tex]\sin 60^{\circ} = \frac{BC}{AC} = \frac{\sqrt{48}}{8}[/tex]. Hence, this is also correct.

d. [tex]\tan 30^{\circ} = \frac{AB}{BC} = \frac{4}{\sqrt{48}}[/tex]. Hence this is not correct.

Here, tan Ф is given by perpendicular divided by base.

Therefore, option d is incorrect. (Answer)