30 POINTS, HELP!!
A sporting goods store sells two types of bicycles, in two colors. The table shows its sales over the last year.
Are buying a road bike and buying a silver bike independent events?
A. No, because P(road bike) = 0.625 and P(road bike│silver) = 0.375.
B. No, because P(road bike) = 0.625 and P(road bike│silver) = 0.625.
C. Yes, because P(road bike) = 0.375 and P(road bike│silver) = 0.625.
D. Yes, because P(road bike) = 0.625 and P(road bike│silver) = 0.625.

Answer:

Step-by-step explanation:

If the overall area of the square is 30 units with a width of 6 units, all you need to do is divide 30 by 6. Or, if you add 6 till you get 30, which is much simpler.

If we start from six and count up till we get to/close to 30 without passing the number, we can do this.

6, 12, 18, 24, 30

Right on the dot of thirty! How lucky! Now we notice that while counting up, there were 5 variables (Don't know if I'm using this word correctly :\) of thirty in total. Then, if you want to double check, multiply 5 by 6 to get thirty and show proof that your answer is correct!

Good job! You survived the maths!

Anyways, here's the answer: The missing length of the 30 unit square is 5.

Answer:

5 is its length, divide the given length to the total area to get your missing length

Whenever given an area and a length or a width either ONE of those, you always divide the given length. Why? Because the number you get from dividing will make sense! That number you got from dividing times the give length will equal your area! Which is why you divide your given length to your total area.

Answer:

x = m + 3b

Step-by-step explanation:

add 3b to each side

x = m + 3b

Answer:

x=m+3b

Step-by-step explanation:

Hi there!

Our goal to make x the subject of the formula is to isolate x on one side and have everything else on the other side

here's the given formula:

m=x-3b

-3b is on the same side as x, which we don't want

add 3b to both sides (-3b+3b=0)

m=x-3b

+3b +3b

________

m+3b=x

since x is now the subject of the formula, we're done

Hope this helps!

Answer:

-41/80, -45/80, -48/80, -51/80, -55/80, -59/80

Step-by-step explanation:

-4/8, -3/4 = -4/8, -6/8

               = -40/80, -60/80

∴ Rational numbers between -40/80 and -60/80 = -41/80, -45/80, -48/80, -51/80, -55/80, -59/80.

Answer:

TO FIND :-

FORMULAES TO KNOW BEFORE SOLVING :-

SOLUTION :-

1) θ = 16°

Length of side opposite to θ = 7

Hypotenuse = x

[tex]=> \sin 16 = \frac{7}{x}[/tex]

[tex]=> \frac{7}{x} = 0.27563......[/tex]

[tex]=> x = \frac{7}{0.27563....} = 25.39568.....[/tex] ≈ 25.3

2) θ = 29°

Length of side opposite to θ = 6

Hypotenuse = x

[tex]=> \sin 29 = \frac{6}{x}[/tex]

[tex]=> \frac{6}{x} = 0.48480......[/tex]

[tex]=> x = \frac{6}{0.48480....} = 12.37599.....[/tex] ≈ 12.3

3) θ = 30°

Length of side opposite to θ = x

Hypotenuse = 11

[tex]=> \sin 30 = \frac{x}{11}[/tex]

[tex]=> \frac{x}{11} = 0.5[/tex]

[tex]=> x = 0.5 \times 11 = 5.5[/tex]

4) θ = 43°

Length of side adjacent to θ = x

Hypotenuse = 12

[tex]=> \cos 43 = \frac{x}{12}[/tex]

[tex]=> \frac{x}{12} = 0.73135......[/tex]

[tex]=> x = 12 \times 0.73135.... = 8.77624....[/tex] ≈ 8.8

5) θ = 55°

Length of side adjacent to θ = x

Hypotenuse = 6

[tex]=> \cos 55 = \frac{x}{6}[/tex]

[tex]=> \frac{x}{6} = 0.57357......[/tex]

[tex]=> x = 6 \times 0.57357.... = 3.44145....[/tex] ≈ 3.4

6) θ = 73°

Length of side adjacent to θ = 8

Hypotenuse = x

[tex]=> \cos 73 = \frac{8}{x}[/tex]

[tex]=> \frac{8}{x} = 0.29237......[/tex]

[tex]=> x = \frac{8}{0.29237.....} = 27.36242.....[/tex] ≈ 27.3

7) θ = 69°

Length of side opposite to θ = 12

Length of side adjacent to θ = x

[tex]=> \tan 69 = \frac{12}{x}[/tex]

[tex]=> \frac{12}{x} = 2.60508......[/tex]

[tex]=> x = \frac{12}{2.60508....} = 4.60636....[/tex] ≈ 4.6

8) θ = 20°

Length of side opposite to θ = 11

Length of side adjacent to θ = x

[tex]=> \tan 20 = \frac{11}{x}[/tex]

[tex]=> \frac{11}{x} = 0.36397......[/tex]

[tex]=> x = \frac{11}{0.36397....} =30.22225....[/tex] ≈ 30.2

Answer:

first one on top to the left

Step-by-step explanation:

Answer: no solution

Step-by-step explanation:

Answer:

Frequency refers to the number of waves that pass a given point in a given time period and is often expressed in terms of hertz (Hz), or cycles per second. Longer wavelengths will have lower frequencies, and shorter wavelengths will have higher frequencies

Answer: 9.82cm

Step-by-step explanation:

Answer:

171.9 degrees.

Step-by-step explanation:

The factor is 180/π.

So 3 radians = (3*180)/π

= 171.9 degrees.

Answer:

10 inches

Step-by-step explanation:

Half of the circle is 5 inches. the other half will be 5, which added together makes 10

Answer:

Rounded: $478.06

Step-by-step explanation:

Set up an equation:

Variable x = original price

62/100 = 296.40/x

Cross multiply

62 × x = 100 × 296.40

62x = 29,640

Divide both sides by 62:

x = 478.064516....

Round to nearest cent (hundredths place):

x = 478.06

Check your work (using the rounded estimate will be close to $296.40 but not exact because it is rounded; once you round your answer and it should match):

478.06 × 62%

Convert the percentage into a decimal:

478.06 × 0.62

296.3972

Round to the nearest cent (hundredths place):

296.40

Objective (Profit) Function : 120 Po + 40 Co + 60 Ca

Constraint Functions : Po + Co + Ca = 100 (Land Constraint) ;                    Budget Constraint : 400 Po + 160 Co + 280 Ca = 20000

LET : Acres of land for Potato, Corn, Cabbage = Po, Co, Ca respectively.

Objective Function is the function to be minimised or maximised. Here, 'PROFIT' is to be maximised.

Constraint functions denote the other conditions to be maintained, while maximising & minimising objective profit function.

To learn more, refer https://brainly.com/question/2500020?referrer=searchResults

Answer:

35 is a prime number between 30 and 40

Someone please answer I need help on this one to

Answer: B) (x - 5)(x + 4)

Step-by-step explanation:

we’re looking for x intercepts at x = 5 and x = -4

x - 5 = 0; x = 5

x + 4 = 0; x = -4

(x - 5)(x + 4) is your answer

Answer:

Ed's answer of [tex]\frac{3}{8}[/tex] is correct because he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer.

Step-by-step explanation:

To solve for m in [tex]\frac{2}{3}m=\frac{1}{4}[/tex] you want to isolate m by dividing by [tex]\frac{2}{3}[/tex] on both sides, therefore he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer of [tex]\frac{3}{8}[/tex], and his answer is correct.

Answer:

The maximum of the parabola lands at (2,5).

The coordinates of the turning point of the parabola whose equation is y=-x²+4x+1 are (2, 5)

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.

The equation of Parabola is y=-x²+4x+1

The turning point (vertex) is the point where the derivative is equal to zero.

y=-x²+4x+1

Differentiate the equation

dy/dx=-2x+4

Now equate dy/dx with zero

dy/dx=0

-2x+4=0

-2x=-4

x=2

Now put x value in the equation

y=-(2)²+4(2)+1

y=-4+8+1

y=5

Hence the coordinates of the turning point of the parabola whose equation is y=-x²+4x+1 are (2, 5)

To learn more on Coordinate System click:

https://brainly.com/question/4726772

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Answer:

what's the full question

Answer:

9e+36

Step-by-step explanation:

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Answer:

x = 2.2

Step-by-step explanation:

2(x+4)+6 = 12x-8

Use distribution property

2x+8+6 = 12x-8

Combine like terms

2x+14 = 12x-8

Subtract 14 from both sides

2x = 12x-22

Subtract 12x from both sides

-10x = -22

Divide both sides by negative 10

x = 2.2 or x = 11/5 in fractions.

Hope this helps

Answer:

Confidence Interval =-0.76,+1.56

Step-by-step explanation:

The confidence interval can be determined by

(x1`- x2`) ± z∝/2 √s1²/n1 + s2²/n2

z∝/2 for 93% is 1.81

The mean and the standard deviations can be calculated using the calculator.

The mean x1`= ∑x/ n=  5+ 5+ 6+ 6+ 6+ 3+ 4+ 6+ 6+ 6

                                  = 53/10= 5.3

Standard deviation = s1`=   1.0049= 1.005

The mean x2`= ∑x/ n=  7+ 3+ 4 +7+ 4+ 7+ 3+ 3+ 7+ 4/10

                                  = 49/10= 4.9

Standard Deviation = s2= 1.75783= 1.76

Putting the values

(x1`- x2`) ± z∝/2   √s1²/n1 + s2²/n2

(5.3-4.9 ) ± 1.81 √1.005²/10 +1.76²/10

0.4 ± 1.81 √ 1.010025/10 + 3.0976/10

-0.76,+1.56

The confidence interval for 93% two tailed test is [-0.76,+1.56]

Answer:

A estimated guess based off past information not some random number

Step-by-step explanation:

Example:

Make a reasonable prediction on if we will have school tomorrow. We are expecting a foot of snow.

Reasonable: We most likely won't because it will be cold and snowing. And it won't be safe.

Not Reasonable: We will because it will be sunny

Answer:

Step-by-step explanation:

You want the solution to the system of equations ...

We notice that each of these equations has a leading minus sign, and has coefficients that have a common factor. We can multiply by -1 to make the leading coefficient positive, and we can divide by the common factor. Doing this puts the equations in standard form:

  2x -y = -6

  x -y = -4

Subtracting the second equation from the first gives ...

  (2x -y) -(x -y) = (-6) -(-4)

  x = -2

Rearranging the second equation to find y, we have ...

  y = x +4

  y = -2 +4 = 2

The solution is (x, y) = (-2, 2).

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Answer:

a = 36

Step-by-step explanation:

3 + (11/12)a = 36

Subtract 3 from both sides

(11/12)a = 33

multiply both sides by 12

11a = 396

Divide both sides by 11

a = 36

Answer:

a = 36

Step-by-step explanation:

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Answer:

The slope of a line characterizes the direction of a line.

Step-by-step explanation:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Answer:

-2

Step-by-step explanation: