A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected. Hence, the decision was to reject the null hypothesis retain the null hypothesis no decision was made.

a. True
b. False

Answer:

Range: [-3, 7]

Step-by-step explanation:

Range is all the y-values that are outputted.

When we graph the equation, we should see our minimum y-value and maximum y-value.

Answer:

Step-by-step explanation:

6. I will multiply then  I respect the sign rules

- * -  =   +

- * + =  -

I will atach the file immediately.

I  multiplied the paranthesis and  then I added the results

Answer:

i)6a^2-2ab-6b^2

ii)ab^2-1a^2b

iii)b^3-42b

Step-by-step explanation:

Use distributive property

Collect like terms

(a+b)(5a-3b)+(a-3b)(a-b)

(a+b)(5a-3b)---- Distributive property

5a^2-3ab+5ab-3b^2

5a^2+5ab-3ab-3b^2

5a^2+2ab-3b^2

(a-3b)(a-b)

a^2-ab-3ab-3b^2

a^2-4ab-3b^2

So,

5a^2+2ab-3b^2+a^2-4ab-3b^2---Collect like terms

5a^2+a^2+2ab-4ab-3b^2-3b^2

6a^2-2ab-6b^2

(a–b)(a^2+b^2 +ab)–(a + b)(a^2+b^2 –ab)

(a–b)(a^2+b^2 +ab)----Distributive property

a^3 since a^(1+2)=a^3

a^3+ab^2+a^2b-ba^2-b^3-ab^2

a^3+ab^2-ab^2+a^2b-ba^2-b^3

a^3+a^2b-a^2-b^3

a^3-b^3

(a+b)(a^2+b^2-ab)

a^3+ab^2-a^2b+ba^2+b^3-a^2b

a^3+ab^2+ba^2+b^3-a^2b-a^2b

a^3+ab^2+ba^2+b^3-2a^2b

So,

a^3-b^3-a^3+ab^2+ba^2+b^3-2a^2b--Collect like terms

a^3-a^3-b^3+b^3+ab^2-2a^2b+a^2b

ab^2-1a^2b

(b^2–49)(b + 7)+343---Distributive property

b^3+7b-49b-343+343---Collect like terms

b^3-49b+7b

b^3-42b

Hope this helps ;) ❤❤❤

Answer:

The constant of proportionality is 0.45.

Step-by-step explanation:

The constant of proportionality is the ration of two different quantities or is the unit value of a quantity.

The expression representing the price of bananas is:

[tex]p=0.45n[/tex]

To determine the unit rate of bananas divide the price by the number of bananas.

[tex]\text{Unit Rate}=\frac{p}{n}[/tex]

                [tex]=\frac{0.45n}{n}\\\\=0.45[/tex]

Thus, the constant of proportionality is 0.45.

Answer:

Step-by-step explanation:

Define number of videos purchased as "n" and number of CD's purchased as "c" then we can equation the total purchases and the costs by:

8 nephews:

n + c = 8

Spent $121.53

14.95*n + 16.88*c = 121.53

Substitute one variable as a function of the other. Preference the simpler equation (n + c = 8)

n = 8 - c

=>

14.95*(8-c) + 16.88c = 121.53

119.60 + 1.93c = 121.53

1.93c = 1.93

c = 1

=>

n = 7

*Check:

14.95*(7) + 16.88*(1) = 121.53

im so sorry if this is wrong :/

Answer:

The correct option is;

d(t) = 6·cos(π/3·t) + 28

Step-by-step explanation:

The general form of a cosine function is given as follows;

y = A·cos(B·x - C) + D

Where;

A = The amplitude = The distance from the peak to the midline = 1/2×(Maximum - minimum)

The amplitude = 1/2 × (34 - 22) = 6 inches

B = 2·π/P = 2·π/6 = π/3

P = The period = 6 seconds

C/B = The phase shift

D = The midline = Minimum  + Amplitude = 22 + 6 = 28 inches

x = The independent variable

Therefore, to model the function of the wave can be given as follows;

d(t) = 6·cos(π/3·t) + 28

A function that models the distance from the bottom of the pool to the ball, as it moves  from wave crest to wave crest, as a function of t in seconds is [tex]d(t)= 6cos(\frac{\pi}{3} t) + 28[/tex]

The standard wave equation is expressed as;

[tex]y=Acos(Bx-C)+D[/tex] where:

A is the amplitude

Get the amplitude:

[tex]A=\frac{1}{2}(34-22)\\A=\frac{1}{2}(12)\\A= 6\\[/tex]

If the wave occurs every 3 seconds, then:

[tex]B=\frac{2 \pi}{k} \\B=\frac{2\pi }{6}\\B=\frac{\pi}{3}[/tex]

Get the midline D

[tex]D=minimum + amplitude\\D=22+6\\D = 28[/tex]

Substitute the given parameters into the equation above to have;

[tex]y= 6cos(\frac{\pi}{3} t) + 28[/tex]

Hence a function that models the distance from the bottom of the pool to the ball, as it moves  from wave crest to wave crest, as a function of t in seconds is [tex]d(t)= 6cos(\frac{\pi}{3} t) + 28[/tex]

Learn more here: https://brainly.com/question/25524388

Answer: -1+(-4)=-1-4

Step-by-step explanation:

-1+(-4)=-1-4

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

numbers after (+) sign, no need to change signs

the number after (+) is -4, so we keep the (-) sign, which will be:

                                       -1+(-4)=-1-4

Hope this helps!! :)

Answer

3/5

0.6 / 1 = 6 / 10 = 3/5

Answer:

3/5

Step-by-step explanation:

0.6=6/10

[dividing through by two]

=3/5

Answer:

correct answer is x = 2.75

Step-by-step explanation:

Given;

AB = 2x-5

BC = 6x

AC = 27

Hence,

=> AC = AB + BC

=> 27 = 2x-5 + 6x

=> 27 = 8x-5

=> 27-5 = 8x

=> 22 = 8x

=> 22/8 = x

=> 11/4 = x

or

2.75 = x

Answer:

cp is rupees 5000

Step-by-step explanation:

11x/10 -21x-/20= 250

then do lcm and answer will come x= 5000

Answer:

I think its A

Step-by-step explanation:

Sorry if I'm wrong

Answer:

Quantitative: i) The number of students in the school vis - a - vis the number of classes in the school. In order words, simply number of students per class

ii) The rate of graduation of students.

Categorical:i) Courses being taken by students

ii) Region of country of students.

Step-by-step explanation:

To answer this question effectively, it's important for us to know that a quantitative variable usually has numerical values, and also have units of measure as well while categorical variables simply places each student into a specific category.

Now, the two quantitative variables we will consider are;

i) The number of students in the school vis - a - vis the number of classes in the school. In order words, number of students per class

ii) The rate of graduation of students.

Also, the two categorical variables we will consider are;

i) Courses being taken by students

ii) Region of country of students

Answer:

20(4 + 5)

Step-by-step explanation:

GCF is just the biggest number each value can be divided by. Here, it's 20, so that goes outside of the parenthesis. Now, what can you multiply by 20 to get 80? 4, so that goes in the second box. What can you multiply by 20 to get 100? 5, so that goes in the last box. You can check your answer by doing 80 + 100 = 180; 20(9) = 180.

So you have to find the GCF (Greatest Common Factor) or 80 and 100, which is 20.

20(?+?)

20 times what gets you 80?

20 times 4 gets you 80.

20 times what gets you 100?

20 times 5 gets you 100.

20(4+5) = 80+100 = 180

♡ Hope this helped! ♡

❀ 0ranges ❀

Answer:

−1 /2 qx+ 1 /2 x-5

Step-by-step explanation:

Let's simplify step-by-step.

1 /2 x−7− 2q/ 4 x−(−2)

= 1 /2 x+−7+ (−1/2) qx+2

Combine Like Terms:

= 1 /2 x+−7+ (−1 /2 qx+2

=( −1 /2 qx)+( 1 /2 x)+(−7+2)

= −1 /2 qx+ 1 2x+−5

Answer:

= −1 /2 qx+ 1 /2 x-5

HOPE THIS HELPS!!!!!! :)

<3333333333

Answer:

4 is the answer

Step-by-step explanation:

8 + x + 2 = 4x -2

8 + 2+ 2 = 4x - x

12 = 3x

x =12/3 = 4

Answer:

2a). Height = 2 cm

2b). Surface area = 395.84 cm²

Step-by-step explanation:

2a). Volume of the cylinder = 308 cm³

      Radius of the base of the cylinder = 7 cm

      Formula to get the volume of a cylinder = πr²h

     308 = π(7)²h

     h = [tex]\frac{308}{49\pi }[/tex]

     h = 2 cm

     Therefore, height of the cylinder will be 2 cm.

2b). Formula to calculate the surface area of the cylinder = [tex]2\pi r(r + h)[/tex]

      By substituting the values in the given formula,

      S.A. = 2π(7)(7 + 2)

              = 395.84 cm²

     Therefore, Surface area of the cylinder is 395.84 cm².

Answer:

[tex]x=2y-3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]2y=x+3[/tex]

And we want to solve it for x. In other words, we want to isolate the x-variable. To start, first subtract 3 from both sides. The right side cancels:

[tex](2y)-3=(x+3)-3\\2y-3=x[/tex]

And, that's it :)

If preferred, we can also switch the equation around using the symmetric property:

[tex]x=2y-3[/tex]

Answer:

[tex]\Large \boxed{\sf{x=2y-3}}[/tex]

Step-by-step explanation:

[tex]\sf We \ have \ the \ equation: \\ \\ 2y = x+3 \\ \\ We \ need \ x \ on \ one \ side \of \ the \ equation. \\ Solve \ for \ x. \\ \\ Subtract \ 3 \ from \ both \ sides. \\ \\ 2y-3=x+3-3 \\ \\ Simplify \ the \ equation. \\ \\ 2y-3=x[/tex]

Answer:

1 + 72 ÷4 × 2 =10 with brackets it equals 10

1 + (72 ÷ (4 × 2)) =10

Step-by-step explanation:

Answer:

The answer is 5+2h because it is $2 per hour so 2h and $5 per day. it does not have a variable for $5 per day

Answer:

35

Step-by-step explanation:

Answer: The actual heart is approximately 6.125 or rounded to 6

Step-by-step explanation: Divide the scale model 196 inches by 32 (the scale)

Answer:

60

Step-by-step explanation:

We can use x to represent the number of oak trees.

This means evergreen trees will be 1/2x and 5x will be the maple trees.

Set up an equation:

x + 1/2x + 5x = 390

6.5x = 390

x = 60

So, 60 oak trees were sold last week.

Answer:

242 text messages.

Step-by-step explanation:

60.50 / 0.25 = 242

60.50 being the phone bill.

0.25 being each text message.

/ stands for ' divided by '.

Answer:

62 text messages

Step-by-step explanation:

Let the number of text messages be x,

Then the required equation:

Solution:

Answer is: 62 text messages

Answer:

At any given moment, the red ant's coordinates may be written as (a, a) where a > 0. The  red ant's distance from the anthill is [tex]a\sqrt{2}[/tex] . The black ant's coordinates may be written  as (-a, -a) and the black ant's distance from the anthill is [tex]a\sqrt{2}[/tex]  . This shows that at  any given moment, both ants are  [tex]a\sqrt{2}[/tex] units from the anthill.

Step-by-step explanation:

Given:

red ant's coordinates written as (a,a)

black ant's coordinates are written  as (-a, -a)

To find:

The distance of red and black ants from anthill

Solution:

Compute the distance of red ant from the anthill using distance formula

d (red ant) = [tex]\sqrt{(a-0)^{2}+ (a-0)^{2}}[/tex]

                 = [tex]\sqrt{a^{2} + a^{2} }[/tex]

                 = [tex]\sqrt{2a^{2} }[/tex]

                 = [tex]a\sqrt{2}[/tex]

So distance of red ant from anthill is [tex]a\sqrt{2}[/tex]

Compute the distance of black ant from the anthill using distance formula

d (black ant) = [tex]\sqrt{(-a-0)^{2}+ (-a-0)^{2}}[/tex]

                    = [tex]\sqrt{(-a)^{2} + (-a)^{2} }[/tex]

                    = [tex]\sqrt{a^{2} + a^{2} }[/tex]

                 = [tex]\sqrt{2a^{2} }[/tex]

                 = [tex]a\sqrt{2}[/tex]

So distance of black ant from anthill is [tex]a\sqrt{2}[/tex]

Hence both ants are [tex]a\sqrt{2}[/tex]   units from the anthill.

Answer:

yes it will contain it  

Step-by-step explanation:

.5 + 1.5 + .66 + .8 = 3.46

Answer: 4

Step-by-step explanation: The y-intercept is a point

where a line crosses the y-axis.

All y-intercepts have an x-coordinate of zero.

The equation shown here is in slope-intercept form or y = mx + b form.

In this form, the m represents the slope and the b is y-intercept.

So here, we can tell that the y-intercept is 4.

Answer:

45

Step-by-step explanation:

OK, first we turn the variables into into the actual values:

The equation will look like this:

(2)5 + (-5)(-7)

Now its easier to solve!  Lets solve (2)5!

2 * 5 = 10

The equation looks like:

10 + (-5)(-7)  

We will also solve (-5)(-7). Remember that a negative number times a negative number is positive!

-5 * -7 = 35

Lets finish the rest:

10 + 35 = 45.          

Hope this is correct and have a nice day!      

Answer: 18

Step-by-step explanation: The formula for circumference is 2piR. Since 2piR = 36pi, you can cancel out the pi's which makes it 2r = 36. Divide by 2 on both sides and you get r = 18.

Answer:

It's Below.

Step-by-step explanation:

1) 180° - 124° = 56°

2) 90° - 58° = 32°

3) 90° - 34° = 56°

4) 180° - 107° = 73°

Don't forget to put the degrees symbol! :)

Answer:11.322

Step-by-step explanation:

3^2 + log2 5 =9+(ln5/ln2)=9+2.322=11.322