You draw a red marble out of a bag and give it your friend. You draw another marble out of the bag. Are the events independent? Explain.

No; the red marble was not replaced, so it has an effect on drawing a second marble.

Yes; you may not get a red marble again.

No; you do not know which marble you will draw next.

Yes; the red marble was kept out, so you can not draw it again.

Answer: [tex]10, 31\ \text{years}[/tex]

Step-by-step explanation:

Given

The present age of Madison's Mother is three time that of Madison

Suppose the Present age of Madison is [tex]x[/tex], so age of her mother is [tex]3x[/tex]

After [tex]6\dfrac{1}{4}\ \text{years}[/tex], the sum of their age will be [tex]53\dfrac{3}{4}\ \text{years}[/tex]

[tex]\therefore (x+6\dfrac{1}{4})+(3x+6\dfrac{1}{4})=53\dfrac{3}{4}\\\\\Rightarrow 4x+2\times \dfrac{25}{4}=\dfrac{53\times 4+3}{4}\\\\\Rightarrow 4x+\dfrac{50}{4}=\dfrac{215}{4}\\\\\Rightarrow 4x=\dfrac{215-50}{4}\\\\\Rightarrow x=\dfrac{165}{16}\\\\\Rightarrow x= 10.31\approx 10[/tex]

Madison mother's age [tex]3x=30.93\approx 31\ \text{years}[/tex]

Answer:

4/9 is the answer for this question

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 4.999....  ---------(I)

After decimal point only one digit is repeating. So multiply both sides by 10

10x = 49.999.....(II)

subtract (I) from (II)

10x = 49.999...

x    =   4.999....  {subtract}

   9x = 45

    x = 45/9

x = 5/1

Answer:

very easy how fo you know this question oppps

Answer:  Rational

Explanation:

Any rational number is of the form P/Q, where P and Q are integers

Keep in mind that Q cannot be zero, but P can be.

In this case, P = -7 and Q = 35

Answer:

4/15

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that the bag contains 2 yellow and 4 orange marbles, the probability of picking a

Yellow marble = 2/(2+4) = 2/6

Orange marble = 4/(2+4) = 4/6

The probability of picking a yellow marble and an orange  marble without replacement

= 2/6 * 4/5

= 8/30

= 4/15

Answer:

7.07143

Step-by-step explanation:

Diameter: 18

Angle: 45

Radius: 9

Answer:

525 in³

Step-by-step explanation:

Use the direct variation equation, y = kx.

Substitute y with v (volume) and substitute x with l (length) to represent this situation:

y = kx

v = kl

Plug in 35 as l and 15 as k, then solve for v (the volume):

v = kl

v = 15(35)

v = 525

So, the volume of the box is 525 in³

Answer:

dddddd=666=7777

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation for the direct variation is, for us (using f and m instead of y and x):

f = km, where k is the constant of proportionality. We need to solve for this first using the first set of given values:

-19 = k(14) so

[tex]k=-\frac{19}{14}[/tex] Now plug that in with second set of givens, namely to find f when m is 2:

[tex]f=(-\frac{19}{14})(2)[/tex] and

[tex]f=-\frac{19}{7}[/tex]

Answer:

x = 14.0902 (After rounding to the nearest ten-thousandth)

Step-by-step explanation:

Using the bottom angle to solve x, the best option to use would be sine as we have the length for the opposite leg. Then we do the following:

Sin(69) = Opp/Hyp

Sin(69) = 14/x

0.9336 = 14/x

0.9336(x) = 14/x(x)

0.9336x = 14

0.9336x/0.9336 = 14/0.9936

x = 14.0902

Answer:

y^ -2

Step-by-step explanation:

We know that a^b^c = a^(b*c)

(y^-1/2)^4

y^(-1/2*4)

y^ -2

Answer:

Step-by-step explanation:

Answer:

So, we need to find irrational numbers between the given pairs.

Remember that the sum between an irrational number and an rational number is irrational.

For example, for the first case, we want a irrational number between:

3.14 and pi:

pi = 3.14159265.... is irrational

pi - 0.0001 = 3.14159265... - 0.0001 = 3.14149265...

So this number:

3.14149265...

is an irrational number larger than 3.14 and smaller than pi.

Second cacse:

3.33 and 1/3

(here the range would be actually:

1/3 = 0.33 and 3.33

So we want an irrational number larger tan 0.33 and smaller than 3.33

here we can just use pi = 3.141592...

third case:

e^2 and √5

Firs let's write these numbers so we can see how they look.

e^2  =7.389...

√5 = 2.236

So we want a number larger than 2.236... and smaller than 7.389...

Again, here we can use pi = 3.141592...

2.236... < 3.141592... < 7.389...

final case:

√(64/2) and √16

we have:

√(64/2) = 5.65

√16 = 4

So we want an irrational number larger than 4 and smaller than 5.65

Again, let's use our beloved number pi.

we have that:

pi + 1  is an irrational number:

pi + 1 = 3.14159265... + 1.0 = 4.14159265....

This number, 4.14159265..., is irrational, is larger than 4 and is smaller than 5.65, so we found the irrational number between the given pair of numbers.

Answer:

3.33 and 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of sector:

Substitute the values and find the area:

Answer:

4π inches

Step-by-step explanation:

Formula for finding length of arc AB = θ/360*2πr

Where,

Central angle (θ) = 120°

Radius (r) = 6 inches

Length of arc AB = 120/360*2*π*6

Length for arc AB = ⅓*12π

= 4π inches

Answer:

14.88 km

Step-by-step explanation:

add both base 1 and base 2 together divide them by 2 then multiply by the height.

choice A bcs 4 is the numerator and 3 is the denominator

Answer:

Sin(?)=35/48

?=Sin^-1(35/48)

?=46.82

? ≈ 47

OAmalOHopeO

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

[tex]\sf↦ Product ~of ~numbers = 10000\\\\↦ n × 16n = 10000\\\\↦ 16n² = 10000\\\\↦ n² = \sf \dfrac{10000}{16}\\\\↦ \sf n = \sqrt{\dfrac{10000}{16}}\\\\↦ \sf n = \sqrt{\dfrac{100\:\times\:100}{4\:\times\:4}}\\\\↦ \sf n = {\cancel{\dfrac{100}{4}}}\\\\➦\pmb{\underline{\boxed{\sf{\pink{n = 25}}}}}[/tex]

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

Answer:

Step-by-step explanation:

Let the numbers be x and y.

We have:

Substitute y and solve for x:

Then y is:

The numbers are:

Answer:

F

Step-by-step explanation:

Area of sector=pi*r^2*(theta/360) = pi*r^2*(45/360)

18*pi=pi*r^2*(1/8), r=12. Circumference is 24*pi

Answer:

6*5*4*3*2*1 = 6! = 720

Step-by-step explanation:

There are 720 three digit numbers that can be created from the digits provided given that no digit may be repeated.

A permutation is defined as a mathematical process which determines the number of different arrangements in a set of objects when the order of the sequential arrangements.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

There are six choices to begin with and that quantity decreases by one every time the next digit is chosen as shown below:

⇒ 6*5*4*3*2*1

⇒ 6!

⇒ 720

Hence, there are 720 three digit numbers that can be created from the digits provided given that no digit may be repeated.

Learn more about permutation here:

brainly.com/question/1216161

#SPJ2

no, more than one triangle could be made with these measures

sss

Answer:

81

Step-by-step explanation:

The angles shown are formed on a straight line

Angles formed on a straight line add up to 180

So m + m + 18 = 180

We've just created an equation that we can use to solve for m

So we can now solve for m

m + m + 18 = 180

Combine like terms

2m + 18 = 180

Subtract 18 from both sides

2m + 18 - 18 = 180 - 18

2m = 162

Divide both sides by 2

2m/2 = 162/2

m = 81

Answer:

The usual way to draw a 3-D grid can be seen below.

The positive z-axis points upwards

The positive y-axis points to the right

The positive x-axis points towards you, or to the front.

And the notation for a point in 3-D is (x, y, z)

In this case, our point is (-3, -2, 3)

Then the location of the point can be described as:

So the x-value is -3, which means that the point is 3 units behind the origin.

The y-value is -2, which means that the point is 2 units at the left of the origin

The z-value is 3, which means that the point is 3 units above the origin.

2z+16+124=180

2z=180-16-124

2z=40

z=40/2

Z=20°

I hope I helped you ^_^

Answer:

(1) 256 inches

(2) 5 feet

(3) 400 inches

(4) 10 feet

Step-by-step explanation:

(1) The function that gives the height in inches of the spray of water at a distance x from the sprinkler head is given as follows;

h(x) = 160·x - 16·x²

At x = 2 feet, we have;

h(2) = 160 × 2 - 16 × 2² = 256

Therefore, the height of the spray water at a horizontal distance of 2 feet from the sprinkler head h(2) = 256 inches

(2) The x-coordinate, [tex]x_{max}[/tex], of the maximum point of a parabola given in the form, y = a·x² + b·x + c is found using the following formula;

[tex]x_{max}[/tex] = -b/(2·a)

The x-coordinate, [tex]x_{max}[/tex], of the maximum point of the given equation of the parabola, h(x) = 160·x - 16·x², (a = -16, b = 160) is therefore;

[tex]x_{max}[/tex] = -160/(2 × (-16)) = 5

Therefore, the number of feet along the way, the function will reach maximum height, [tex]x_{max}[/tex] = 5 feet

(3) The function, h(x) = 160·x - 16·x², will reach maximum height, [tex]h_{max}[/tex], at x = 5, therefore;

[tex]h_{max}[/tex] =  h(5) = 160 × 5 - 16 × 5² = 400

The maximum height of the spray, [tex]h_{max}[/tex] = 400 inches

(4) The water is at ground level where h(x) = 0, therefore;

At ground level, h(x) = 0 = 160·x - 16·x²

160·x - 16·x² = 0

∴ 16·x × (10 - x) = 0

By zero product rule, we 16·x = 0, or (10 - x)  = 0, from which we have;

x = 0, or x = 10

The water is at ground level at x = 0 and x = 10 feet, therefore, the water will hit the ground again (the second time after leaving the sprinkler head at x = 0) at x = 10 feet.

Answer:

F(5;4)

Step-by-step explanation:

Call F(x;y)

cuz E is the midpoint so we have a formula:

(-3+x)/2=1 -> x=5

(-8+y)/2=-2 -> y= 4

so F(5;4)

Answer:

d) 7.61​

Step-by-step explanation:

384.085 ÷ 50.5 = 7.605643

d is the only possible value (u get it when u round up to 3 sf)

Answer:

Step-by-step explanation:

384.085 d i v i d e d  b y 50.5

                   =  7.61

Answer:

2856

Step-by-step explanation:

This question is a little unclear. 6 times 17 times 28 is equal to 2856 if that is what you are trying to ask.