These dot plots show the ages (in years) for a sample of sea turtles and a
sample of koi fish.
Age (in years)
What are the differences between the centers and spreads of these
distributions?
Select two choices: one for the centers and one for the spreads.
a A. Centers: The sea turtles have a lower median age than the koi.
3. B. Centers: The sea turtles have a greater median age than the koi.
c. Spreads: The ages of the sea turtles are more spread out.
D D. Spreads: The ages of the koi are more spread out.​

The vertex form of the quadratic equation is:

[tex]h(x) = (x - 3)^2 - 6[/tex]

For a quadratic equation:

[tex]y = a*x^2 + b*x +c[/tex]

With vertex (h, k), the vertex form is:

[tex]y = a*(x - h)^2 + k[/tex]

In this case, we have the equation:

[tex]h(x) = x^2 - 6x + 3[/tex]

To get the x-value of the vertex we use the general formula:

[tex]h = -(-6)/(2*1) = 6/2 = 3[/tex]

To get the y-value, we evaluate the function in x = 3, so we get:

[tex]h(3) = k = (3)^2 - 6*3 + 3 = -6[/tex]

So the vertex is (3, -6).

Then the vertex form is:

[tex]h(x) = (x - 3)^2 - 6[/tex]

If you want to learn more about quadratic equations:

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Answer:

  a = -1

Step-by-step explanation:

The line of symmetry for the parabola given by ...

  y = ax² +bx +c

is

  x = -b/(2a)

Using the given values, we have ...

  -2 = -(-4)/(2a)

Multiplying by -a/2, we get ...

  a = (4/2)(-1/2) = -1

The value of "a" is -1.

Answer:

5/12

Step-by-step explanation:

take the number of students who read under6 books (5) and divide by total amount of students (12)

5/12

Answer:

5/12

Step-by-step explanation:

there are a total of 12 books read and a frequency of 5 books read that is fewer than 6 books

Answer:

4

Step-by-step explanation:

2 2 3 5 7 7 (order from least to greatest)

3+5=8(find the most middle number,if there are two numbers you add both and then divide by 2)

8÷2

4

Hi there!! (✿◕‿◕)

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

First, you have to put the numbers from least to greatest.

2, 2, 3, 5, 7, 7

Then, you have to find the middle number.

2, 2, 3, 5, 7, 7

3 and 5 and both in the middle so, you add them both and divide them by 2.

3+5 = 8

8/2 = 4

4 is the median.

Hope this helped!!  ٩(◕‿◕｡)۶

Answer:

Amplitude = 3

Step-by-step explanation:

Given

The sine curve above

Required

Determine the amplitude

To determine the amplitude of a sine curve, we have to calculate the distance between the horizontal line of the curve and the top or bottom of the function

Using the top of the curve as a point of reference;

Amplitude = Top of curve - Horizontal Line.

The horizontal line is always at point 0

From the graph above, the top of the curve is at point 3

Hence,

Amplitude = 3 - 0

Amplitude = 3

Answer:

4

Step-by-step explanation:

Each bar represents a range in area. The first bar represents the number of houses with an area of more than 50 but less than 100. It's height is 4, so there are 4 of those houses.

Answer:

30 degrees

Step-by-step explanation:

100+50=150

180-150=30

All triangles equal 180 degrees, so if the other angles equal 150 than the third angle equals 30 degrees.

Answer:

120

Step-by-step explanation:

expand and calculate

10x9x8x7!/(10-3)!x3!

10x9x8x7!/7!x3!

reduce

10x9x8x7!/7!x3!

10x9x8/3!

Calculate the product

10x9x8/3!

Now Cacluate the factorial

720/3!

720/6

reduce

120

Answer: 120

Step-by-step explanation:

Answer:

[tex]120\º \text{ and } 240\º[/tex]

or in radians:

[tex]$\frac{2\pi }{3} \text{ and } \frac{4\pi }{3}$[/tex]

Step-by-step explanation:

From the way you wrote, you want to solve the equation

[tex]\sqrt {2 \cos(x)+1}=0[/tex] for [tex]0 \leq x < 360\º[/tex], or in radians [tex][0, 2\pi)[/tex]

[tex]\sqrt {2 \cos(x)+1}=0[/tex]

Square both sides

[tex]2 \cos(x) +1= 0[/tex]

[tex]2\cos(x)=-1[/tex]

[tex]$\cos(x)=-\frac{1}{2} $[/tex]

In the Unit Circle, considering one revolution (interval [tex][0, 2\pi)[/tex]),

the values where [tex]$\cos(x)=-\frac{1}{2} $[/tex]  are in Quadrant II and III.

Once

[tex]$\cos(x)= \frac{1}{2} \text{ for } x = 60\º \text{ in the Quadrant I}$[/tex]

The values where

[tex]$\cos(x)=-\frac{1}{2} $[/tex]   are 120º and 240º.

Answer:

C on edge

Step-by-step explanation:

Answer:

length: 5 yd

width: 4 yd

area: 20 yd^2

Step-by-step explanation:

1 yd = 3 ft

15 ft * (1 yd)/(3 ft) = 5 yd

12 ft * (1 yd)/(3 ft) = 4 yd

A = LW

A = 5 yd * 4 yd = 20 yd^2

Answer:

20 yd²

Step-by-step explanation:

1 yd = 3 ft =>

=>w = 12ft×yd/3ft = 4 yd

=> l = 15ft×yd/3ft = 5 yd

A = l × w

= 5yd × 4yd

= 20 yd²

Answer:

112 m³

Step-by-step explanation:

Let's calculate first the voulume of the tank

the volume of thi tank is given by :

so the volume is :

Multiply by 2/3 to get the volume of the water

Answer:

112 m^3

Step-by-step explanation:

V = l x w x h

V = 4 x 12 x 3.5

V = 168 m^3

V = 168 x (2/3)

V = 112 m^3

What do you mean?? .-.

Answer:

asDawas

Step-by-step explanation:

sadasda

Answer: -28, -17, 22.4, 27

hope this helps

Answer:

it is 540 degrees.

Step-by-step explanation:

Answer:

108°

Step-by-step explanation:

Sum of interior angle of any polygon = (n - 2 )*180

Here, n = number of sides

Sum of interior angle of regular pentagon = ( 5 - 2)*180 = 3*180 = 540°

In regular pentagon all the angles are congruent.

Interior angle of regular pentagon = 540/5

                                                         = 108°

Answer:

See the answers in the pics

Step-by-step explanation:

Srry, I didn't quite understood the last two equations

but I hope that from now on you will know how to solve equations and inequalities like this ;]

Answer:

LLLLLLLLLLLLLl

Step-by-step explanation:

Answer:

9/20 (or) 45% (or) .45 (however your teacher wants it expressed)

Step-by-step explanation:

There are 20 experiments and 9 of them have three ones and two zeros.

9/20

Answer:

[tex]x2 = \frac{4}{3} [/tex]

Step-by-step explanation:

[tex]18 {x}^{2} + 21x - 60 = 0[/tex]

Divide both sides of the equation by 3

[tex]6 {x}^{2} + 7x - 20 = 0[/tex]

Write 7x as a difference

[tex]6 {x}^{2} + 15x - 8x - 20 = 0[/tex]

Factor out 3x from the expression

[tex]3x(2x + 5) - 8x - 20 = 0[/tex]

Factor out -4 from the expression

[tex]3x(2x + 5) - 4(2x + 5) = 0[/tex]

Factor out 2x + 5 from the expression

[tex](2x + 5)(3x - 4) = 0[/tex]

When the product of factors equals 0 , at least one factor is 0

[tex]2x + 5 = 0[/tex]

[tex]3x - 4 = 0[/tex]

Solve the equation for X

[tex]2x + 5 = 0[/tex]

Move constant to R.H.S and change its sign

[tex]2x = 0 - 5[/tex]

Calculate the difference

[tex]2x = - 5[/tex]

Divide both sides of the equation by 2

[tex] \frac{2x}{2} = \frac{ - 5}{2} [/tex]

Calculate

[tex]x 1= - \frac{5}{2} [/tex]

Again,

[tex]3x - 4 = 0[/tex]

Move constant to RHS and change its sign

[tex]3x = 0 + 4[/tex]

Calculate the sum

[tex]3x = 4[/tex]

divide both sides of the equation by 3

[tex] \frac{3x}{3} = \frac{4}{3} [/tex]

Calculate

[tex]x 2= \frac{4}{3} [/tex]

Hope this helps..

Best regards!!

Answer:

39x+58

Step-by-step explanation:

18x 2+21x-60=0

pick the like terms together

18x+21x=39x

60-2=58

=39x+58

Answer:

You can determine this by putting the rational numbers in decimal form.

Step-by-step explanation:

A rational number like 1/2 will have a terminating decimal answer = 0.5

A rational number like 7/11 will have a terminating decimal answer = 0.636 where 36 is repeating.

Answer:

6x^2 - 14x + 4.

Step-by-step explanation:

5x^2 - 3x + 8 + 4x^2 - 7x - 3 - (3x^2 + 4x + 1)

=  5x^2 - 3x + 8 + 4x^2 - 7x - 3 - 3x^2 - 4x - 1

= 6x^2 - 14x + 4.

Answer:

6p+19

Step-by-step explanation:

combine like terms:

8p+10+-2p+-1+10

(8p+-2p)+(10+-1+10)

6p+19

HOPE THIS HELPS!!!!!!:)

Answer:

441 rectangles

Step-by-step explanation:

Formula for the number of rectangles in a chessboard=

n²(n + 1)²/ 4

We are told in the question that is a 6×6 chessboard

Hence, n = 6

= 6²(6 + 1) ²/ 4

= 6²× 7²/4

= 36 × 49/4

= 1761/4

= 441 rectangles

Therefore, the number of rectangles in 6×6 chessboard is 441 rectangles.

Answer:

10,000

Step-by-step explanation:

Standard notation is just the normal way of writing things. 10 x 10 x 10 x 10 = 10,000.

Answer:

the third one is the correct answer

Answer:

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

Information provided

represent the mean for sample 1  

represent the mean for sample 2  

represent the sample standard deviation for 1  

represent the sample standard deviation for 2  

sample size for the group 2  

sample size for the group 2  

Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the true means for this case are significantly different, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:

(1)  

And the degrees of freedom are given by    

Replacing the info given we got:

The degreess of freedom are given by:

Now we can calculate the p value with the following probability:

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Standard deviation=4

Step-by-step explanation:

Standard deviation = square root of variance

Standard deviation=√variance

Variance=standard deviation square

Variance=standard deviation^2

From the question

Variance=16

Standard deviation=?

Standard deviation=√variance

=√16

=4

Standard deviation=4

check:

If standard deviation=4

Variance=standard deviation^2

=4^2

=16

Therefore,

Standard deviation=√variance

[tex]4[/tex]

Variance of the variable [tex]=16[/tex]

Standard deviation [tex]=\sqrt{16}[/tex]

                                [tex]=\boldsymbol{4}[/tex]

Find out more information about the variance here:

https://brainly.com/question/24304293?referrer=searchResults

Answer:

1/2

Step-by-step explanation:

Answer:

Answer- 3/4 divided by 1/8 = 6/8

Answer:

x=2.25

Step-by-step explanation:

ΔABC and ΔADE are similar.

∴ sides are proportional.

[tex]\frac{5}{1} =\frac{x+9}{x} \\5=\frac{x}{x} +\frac{9}{x} \\5=1+\frac{9}{x}\\\frac{9}{x}=5-1\\\frac{9}{x}=4\\x=\frac{9}{4}=2.25[/tex]

Answer:

x = 9/4

Step-by-step explanation:

We know that the triangles are similar

We can use ratios to solve

x          x+9

----- = ----------------

1            5

Using cross products

5x = 1(x+9)

5x = x+9

Subtract x

5x-x = x+9-x

4x= 9

Divide by 4

4x/4 = 9/4

x = 9/4

Answer:

    3 > x

Step-by-step explanation:

–2(5 – 4x) < 6x – 4

Step 1: –10 + 8x < 6x – 4

Step 2: –10 < –2x – 4

Step 3: –6 < –2x

Step 4: divide each side by by -2, remembering to flip the inequality

   -6/-2 > -2/-2

    3 > x

Answer:

x < 3

Step-by-step explanation:

−2(5−4x)<6x−4

Use the distributive property to multiply −2 by 5−4x.

−10+8x<6x−4

Subtract 6x from both sides.

−10+8x−6x<−4

Combine 8x and −6x to get 2x.

−10+2x<−4

Add 10 to both sides.

2x<−4+10

Add −4 and 10 to get 6.

2x<6

Divide both sides by 2. Since 2 is >0, the inequality direction remains the same.

x= 6/2

Divide 6 by 2 to get 3.

x= 3

X< 3

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