A bag contains four red apples and six green apples. Alex takes out three apples from the bag at random, one after the other, without replacement. A) Draw a tree diagram to represent the possible outcomes. B) Determine the probability that Alex takes out three red apples. C) Determine the probability that Alex takes out one green apple and two red apples.

Answer:

As the sample size increases, the variability decreases.

Step-by-step explanation:

The actual departures from the mean are used to quantify variability. The variance would be lower the fewer the deviations.

By using the central limit theorem, we can determine that the sample mean for random samples of size n follows a normal distribution.

The standard deviation of the X bar will be [tex]\frac{s}{\sqrt{n} }[/tex].

where s is the sample's variance's square root.

As a result, we discover that the standard deviation, or variability, is inversely proportional to the square root of the sample size. Therefore, standard error lowers as sample size grows. The variability falls off as sample size rises.

Answer:

C) 33 inches

Step-by-step explanation:

A^2 + B^2 = C^2

812.25 + 256 = C^2

1068.25 = C^2

32.684 = C

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Answer:

a) The third term is 19
b) The new term-to-term rule is subtract 13 and then divide by 6.

Step-by-step explanation:

First term: -2
Second term: 1 (-2 * 6 = -12 + 13 = 1)
Third term: 19 (1 * 6 = 6 + 13 = 19)

Our reversed sequence is now 19, 1, -2

First term: 19

Second term: 1 (19 - 13 = 6 / 6 = 1)

Third term: -2 (1 - 13 = -12 / 6 = -2)

It's term is -3 it can be divided into 6 points +79

Answer:

Irrational

Step-by-step explanation:

We make use of the row percentage for comparisons

From the question, we have:

The data represented by the independent variable is always used to make comparison

Since this variable is on the rows, then the row percentage would be used for comparisons

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The height of the pole is 12.5 feet.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Cindy's shadow is 5 feet.

length of the shadow of the pole at the same time, she finds it to be 12.5 feet.

So,

12.5/5=x/5,

62.5=5x

x= 12.5 feet.

Hence, the height of the pole is 12.5 feet.

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Answer:

[tex]x=6[/tex]

Step-by-step explanation:

[tex]8.6 + 5.6x - 1.5 = 40.7\\5.6x = 33.6\\x=6[/tex]

Answer:

Step-by-step explanation:

solve for x

8.6 + 5.6x - 1.5 = 40.7

5.6x = 40.7 - 8.6 + 1.5

5.6x = 33.6

x = 33.6 : 5.6

x = 6

-----------------------------

check

8.6 + 5.6 * 6 - 1.5 = 40.7

40.7 = 40.7

the answer is good

Answer:

1.   won 50 games and lost 32 games

2.  233 Democrats and 202 Republicans

3.  360 miles

4.  6 hours

5.  18 miles

Step-by-step explanation:

Question 1

From the given information:

Substitute Equation 2 into Equation 1 and solve for y:

⇒ y - 18 + y = 82

⇒ 2y - 18 = 82

⇒ 2y = 100

⇒ y = 50

Substitute found value of y into Equation 2 and solve for x:

⇒ x = 50 - 18

⇒ x = 32

Therefore, the team won 50 games and lost 32 games.

Question 2

From the given information:

Substitute Equation 2 into Equation 1 and solve for d:

⇒ r + 31 + r = 435

⇒ 2r + 31 = 435

⇒ 2r = 404

⇒ r = 202

⇒ d = 233

Substitute found value of d into Equation 2 and solve for r:

⇒ 233 = r + 31

⇒ r = 202

Therefore, there were 233 Democrats and 202 Republicans.

Question 3

Given:

Distance (d) = vt

⇒ d = 180 × 2

⇒ d = 360 miles

Question 4

Given:

Time (t) = d ÷ v

⇒ t = 420 ÷ 70

⇒ t = 6 hours

Question 5

If the velocity of the bus is 12 mph less than the car then:

⇒ c = b + 12

Given journey times:

Distance (d) = vt

Create two equations for distance:

Bus

⇒ d = b × 0.75 = 0.75b

⇒ d = 0.75b

Car

⇒ d = (b + 12) × 0.5

⇒ d = 0.5b + 6

Distance for both vehicles is the same. Equate the two equations for d and solve for b (velocity of bus):

⇒ d = d

⇒ 0.75b = 0.5b + 6

⇒ 0.25b = 6

⇒ b = 24 mph

Substitute the value of b into one of the distance formulas and solve for d:

⇒ d = 0.5(24) + 6

⇒ d = 18 miles

2. 3 is not a function

3. 4 is a function

To be a function it has to pass the vertical line test, meaning the x value can not repeat. So for this problem, you need to look at the ordered pair (x,y). For problem 2, answer 3 is not a function because the x value of 1 appears twice. For problem 3, answer 4 is a function because there aren't any x values being repeated.

Answer:

mommy

Step-by-step explanation:

The value of the function [tex]f(x)=3x^{2} -2x[/tex] for x=4 is 40.

The given function is [tex]f(x)=3x^{2} -2x[/tex].

We need to evaluate the given function for x=4.

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

To find the value of the given function replace x with 4 and simplify.

That is, [tex]f(4)=3(4)^{2} -2 \times 4=48-8=40[/tex].

Hence, the value of the function [tex]f(x)=3x^{2} -2x[/tex] for x=4 is 40.

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Answer:

a. t = 3 + √15  or  t = 3 - √15

b. t =  6.87  or  t = -0.87

Step-by-step explanation:

a.

Given : t² = 6t + 6

t² = 6t + 6 ⇔ t² - 6t + 6 = 0

USING THE QUADRATIC FORMULA:

[tex]t=\frac{6\pm \sqrt{\left( -6\right)^{2} -4\left( 1\right)(-6) } }{2}[/tex]

Then

[tex]t=\frac{6\pm \sqrt{36 +24 } }{2}[/tex]

Then

[tex]t=\frac{6\pm \sqrt{60 } }{2}[/tex]

Then

[tex]t=\frac{6\pm 2\sqrt{15 } }{2}[/tex]

Then

t = 3 ± √15

Then

t = 3 + √15  or  t = 3 - √15

…………………………………………………

b.

t = 3 + √15 = 6.872983346207 ≈ 6.87

or  t = 3 - √15 = -0.872983346207 ≈ -0.87

Answer:

60.10

Step-by-step explanation:

3 x 4 = 12

12 / 110 = 0.109

0.109 + 60 = 60.109

The values of a, h, and k in the general equation is h=1, k=4 and a=2

The function which can be transformed into different ways is the parent function.

On a coordinate plane, a cubic function approaches the x-axis in quadrant 2, crosses the y-axis at (0, 2), has an inflection point at (1, 4), and the goes through (2, 6).

The given function is

y =a³ √(x -h) + k

Put the coordinate (0,2) in the equation, we get

2 = a³ √(0 -h) + k..................(1)

Plug (1, 4), we have

4 =  a³ √(1 -h) + k..................(2)

Plug (2, 6), we have

6 =  a³ √(2 -h) + k..................(3)

On solving these three equations, we have

h=1

k=4

a=2

Thus, value of h is 1, k is 4 and a is 2.

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Answer:

the rest of the answers are:

C

B

C

A

D F

A C D

A

D

H= 1

K=4

A=2

Step-by-step explanation:

Answer:

b i just toke the test

jejsjsjsjsjsjsjsjs

Answer:

[tex] \boxed{\bf A)\: 3 \: units}[/tex]

Step-by-step explanation:

Given that, the area = 9π units²

Area of a circle = πr²

So...

Answer:

10 meters.

Step-by-step explanation:

The area of a rectangle formula is width multiplied by length. So, to find the length of the pool, simply divide the width from the area.

90/9=10

The length of the pool is 10 meters.

Hope this helps!

If not, I am sorry.

Answer:

each bottle of juice was $1.71

Step-by-step explanation

first, subtract the cost of the chips from the total cost

$16.62 - $2.94 = $13.68

now we know the price of all 8 juice bottles. To find the price of each bottle of juice, divide the total price of all 8 juice bottles by 8

$13.68 / 8 = $1.71

$16.62 - $2.94 = $13.68

$13.68/8 = $1.71

Each bottle of juice is $1.71

Answer:

A C D Because dilate means to become larger/smaller

Step-by-step explanation:

The time it takes = 3 hours 12 minutes

Rate is a ratio which compares two quantities of different units.

Analysis:

Speed = 5 miles/hour

distance covered = 16 miles

speed taken = distance covered/time taken

time taken = 16/ 5 = 3.2 hours = 3 hours 12 minutes

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Step-by-step explanation:

1)Take the time he is traveling divided by the speed to get the time.

2)Subract the time you have got from the average time,then subtract the average distance from the traveling distance,then divide the two to get the speed.

3)Take the total distance, divide it by the total time to get the average speed.

Answer:

X=10

Step-by-step explanation:

1. Subtract 10 from both sides

2. Simplify

3. Divide both sides by the same factor

4. Simplify

Step-by-step explanation:

a vertical asymptote goes up and down.

the horizontal ones (like the horizon) go left and right.

A

1 vertical asymptote at x = 0

B

2 vertical asymptotes at x = -1 and x = +1

C

no vertical asymptote (whatever vertical line you can think of, it will always really cross the graph in finite space)

D

1 vertical asymptote at x = 3

E

like A

F

2 vertical asymptotes at x = -1 and x = +4

Answer:

-2/3

Step-by-step explanation:

= 1/5 + (-2/3) = -7/15

(A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Rational number can be both positive and negative.)

Answer:

D. 4

Step-by-step explanation:

The faster you go, the faster you get home (theoretically anyway) and vice versa. So if your speed is doubled, it'll take half the time to get home. But if your speed gets halved, it'll also take double the time to get home.

So, if at 60 mph it takes 1 hour to get home, then if your speed is divided by four to 15 mph, you need to multiply the time by the same number and thus the answer is 4.

Answer:

$100

Step-by-step explanation:

It appears that each gift card costs $20, so 5 of them would be $20 * 5 gift cards = $100

Answer:

$100

Step-by-step explanation:

From the graph we see that each card costs $20.

Answer:

Kathy and Lilly

Step-by-step explanation:

Because they both are nearest to the leader distance of 5 meters

Answer:

0.86 ppg

Step-by-step explanation:

25% of 1.15 = 0.25 × 1.15 = 0.2875

1.15 - 0.2875 = 0.8625