What is the equation of the line that passes through the point (-6, 6) and has a
slope of
1/3?

Answer: A) 21.25 ≤ x ≤ 22.75

Step-by-step explanation:

Given, Average weight of basketballs = 22 ounces

It is possible for its weight to vary at most 0.75 ounces from this average.

Let x denotes the weight of the basket ball.

Then, the required range  for a basketball's weight:

Average-0.75 ≤ x ≤ Average+0.75

⇒22-0.75 ≤ x ≤ 22+0.75

⇒21.25 ≤ x ≤ 22.75

Hence, the range for a basketball's weight: 21.25 ≤ x ≤ 22.75 .

Correct option: A) 21.25 ≤ x ≤ 22.75

Answer:

Current price $50eax135hats= $6750

Step-by-step explanation:

If he sells the hats at $52 he sells 3 less hats so $52x132=$6864

if he sells the hats at $54 he has 6 less hats= 54x129=6966 etc

$56 x 126=$7056

Answer:

C. Test for Goodness-of-fit.

Step-by-step explanation:

C. Test for Goodness-of-fit would be most appropriate for the given situation.

A. Test Of  Homogeneity.

The value of q is large when the sample variances differ greatly and is zero when all variances are zero . Sample variances do not differ greatly in the given question.

B. Test for Independence.

The chi square  is used to test the hypothesis about the independence of two variables each of which is classified into number of attributes. They are not classified into attributes.

C. Test for Goodness-of-fit.

The chi square test is applicable when the cell probabilities depend upon unknown parameters provided that the unknown parameters are replaced with  their estimates and provided that one degree of freedom is deducted for each parameter estimated.

Question

If the CP of 15 articles equals to the SP of 12 articles, find the gain percent.

Answer:

gain percent = 25%

Step-by-step explanation:

To solve the question given, we will follow the steps below:

gain%  =   [tex]\frac{s.p - c.p}{c.p}[/tex]  ×    100%

But from the question;

"CP of 15 articles equals to the SP of 12 articles", this implies that

15 c.p  =  12 s.p

s.p = 15c.p  /   12

s.p  = [tex]\frac{15 c.p}{12}[/tex]       =   [tex]\frac{5c.p}{4}[/tex]

s.p  =  [tex]\frac{5c.p}{4}[/tex]

substitute  s.p  =  [tex]\frac{5c.p}{4}[/tex]   into the formula

gain%  =   [tex]\frac{s.p - c.p}{c.p}[/tex]  ×    100%

      =[tex]\frac{\frac{5c.p}{4} - c.p }{c.p}[/tex]     ×    100%

       =  [tex]\frac{\frac{5c.p - 4c.p}{4} }{c.p}[/tex]      ×    100%

  =   [tex]\frac{c.p}{4}[/tex]   ÷   c.p      ×    100%

= [tex]\frac{c.p}{4}[/tex]     ×   [tex]\frac{1}{c.p}[/tex]    ×    100%

=   [tex]\frac{1}{4}[/tex]  ×    100%

=  25 %

Answer:

1 3/4

Step-by-step explanation:

5/4 + 1/2

Get a common denominator of 4

5/4 * 1/2 *2/2

5/4 + 2/4

7/4

Rewriting as a mixed number

4/4 + 3/4

1 3/4

Answer:

A

Step-by-step explanation:

I'm certain the answer is this, and I understand that you are in a hurry. I can update it anytime you'd like to see the explanation

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

Where m is the slope

c is the y intercept

From the question the y intercept is 3

and the slope is 2

Substituting the values into the above equation

We have

Hope this helps you

The equation of a line that passes through [tex](0,3)[/tex] and a slope [tex]2[/tex] is [tex]y=2x+3[/tex].

The equation of a line that passes through a point [tex](x_1, y_1)[/tex] and slope [tex]m[/tex] is:

[tex](y-y_1)=m(x-x_1)[/tex]

Here, the point is [tex](0,3)[/tex] and the [tex]slope[/tex] is [tex]2[/tex].

So, [tex]x_1=0, y_1=3[/tex] and [tex]m=2[/tex].

So, the equation of the line is

[tex](y-y_1)=m(x-x_1)[/tex]

[tex](y-3)=2(x-0)[/tex]

[tex]y-3=2x-0[/tex]

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

So, option B is correct.

Learn more about equation of a line here:

https://brainly.com/question/19456910?referrer=searchResults

Answer:

here,

money spent in 1st year =$250

money spent in 2nd year=$295

total inflated amount=$295- $250

=$45

Then,

inflation rate= ($45/ $250)×100%

=18%

Answer: -1

Step-by-step explanation:

[tex]5t-3=3t-5[/tex]

Add 3 to both sides.

[tex]5t=3t-2[/tex]

Subtract 3t from both sides.

[tex]2t=-2[/tex]

[tex]t=-1[/tex]

Hope this helps!

Answer: t=-1

Step-by-step explanation:

1) add 3 to both sides

2) subtract 3t from both sides

3) Divide both sides by 2

Answer:  No they are not inverses.

Step-by-step explanation:

If they are inverses,  then the inverse of f(x) will equal g(x).

[tex]y=\dfrac{1}{x+4}-9\\\\\\\text{Swap the x's and y's:}\\x=\dfrac{1}{y+4}-9\\\\\\\text{Solve for y:}\\x+9=\dfrac{1}{y+4}\\\\y+4=\dfrac{1}{x+9}\\\\y=\dfrac{1}{x+9}-4[/tex]

f⁻¹(x) ≠ g(x) so they are not inverses

Answer:

A(t) = R -5(t)

t in minuto

Step-by-step explanation:

Nesta questão, estamos preocupados em estabelecer uma lei que forneça a quantidade de água presente no reservatório a qualquer momento, usando a quantidade inicial de água no reservatório e a taxa de perda de água do reservatório.

Agora, sabemos que a taxa de perda de água é de 5 litros por minuto.

Assim, podemos estabelecer a lei da seguinte forma; vamos chamar a quantidade de água a qualquer momento no reservatório A (t);

A lei é assim; A (t) = R -5t onde t representa o tempo que estamos considerando e é em minutos, enquanto R é o volume inicial de água no tanque.

Answer:

The diagonal of kite intersect at the point p is C. 68°

Answer:

6x + 2(−2x + 1) = 22

Step-by-step explanation:

Answer: The answer is 6x + 2(−2x + 1) = 22

Answer:

Step-by-step explanation:

[tex]5(y - 3.8) = 4.7(y - 4)[/tex]

Distribute 5 through the parentheses

[tex]5y - 19 = 4.7(y - 4)[/tex]

Distribute 4.7 through the parentheses

[tex]5y - 19 = 4.7y - 18.8[/tex]

Move ' 4.7 y ' to L.H.S and change it's sign

[tex]5y - 4.7y - 19 = - 18.8[/tex]

Move constant to R.H.S and change it's sign

[tex]5y - 4.7y = - 18.8 + 19[/tex]

Collect like terms

[tex]0.3y = - 18.8 + 19[/tex]

Calculate

[tex]0.3y = 0.2[/tex]

Divide both sides of the equation by 0.3

[tex] \frac{0.3y}{0.3} = \frac{0.2}{0.3} [/tex]

Calculate

[tex]y = 0.67[/tex]

Hope this helps...

Best regards!!

Answer:

[tex]y = 0.67[/tex]   (To 2 dps)

y = 0.7 (To 1 dps)

y = 1 (To nearest whole no.)

Step-by-step explanation:

[tex]5(y-3.8) = 4.7 (y-4)[/tex]

Distribute the terms

[tex]5y - 19 = 4.7y-18.8[/tex]

Combining like terms

[tex]5y - 4.7y = -18.8+19[/tex]

Adding and subtracting

[tex]0.3y = 0.2[/tex]

Dividing both sides by 0.3

[tex]y = 0.2/0.3[/tex]

[tex]y = 0.67[/tex]

Answer:

1.9cm

Step-by-step explanation:

The density d of a material is related to its mass m and volume V as follows;

d = [tex]\frac{m}{V}[/tex]             ------------------(i)

The material in question here is the lead ball.

Now, from known experiment;

the density of lead is 11.34g/cm³

From the question, the weight/mass of the lead ball is 326g

Substitute these values into equation (i) as follows;

11.34 = [tex]\frac{326}{V}[/tex]

V = [tex]\frac{326}{11.34}[/tex]

V = 28.75cm³

Now, since the ball is of course spherical, we can get the radius by using the following relation from the volume of a sphere;

V = [tex]\frac{4}{3} \pi r^3[/tex]          [V = volume, r = radius]

V = 28.75cm³

=> 28.75 = [tex]\frac{4}{3} \pi r^3[/tex]

=> 3 x 28.75 = 4 π r³

=> 86.25 = 4 π r³

=> 21.5625 = π r³      [Take π = 3.142]

=> 21.5625 = (3.142) r³      [divide both sides by 3.142]

=> 6.86 = r³              [Take the cube root of both sides]

=> ∛6.86 = ∛r³

=> 1.90 = r

Therefore, the radius is 1.9cm to the nearest tenth

Answer:

-1/6=-0.166

-2/3=-0.66

Step-by-step explanation:

-by looking carefully you will notice that . which number is greater and smaller.

Answer:

-1/6 is greater than -2/3

Step-by-step explanation:

Answer:

The height of the totem tree is approximately 172.8ft

Step-by-step explanation:

Hello,

To find the height of the totem pole, we need to use our date to make a pictorial representation so that we can know if the pole and base makes a right angle triangle with the angle of elevation.

See attached document for better illustration.

Let T represent the height of the pole.

Using trigonometric ratio,

SOHCAHTOA, we can use tangent since we have our adjacent and we're to solve for the opposite.

Tanθ = opposite/ adjacent

Opposite = T

Adjacent = 20ft

θ = 83.4°

Tan83.4 = T / 20

T = 20Tan83.4

T = 20 × 8.64

T = 172.8ft

The height of the totem tree is approximately 172.8ft

Answer:

Expanded expression of the area of the rectangle = 10x² - 4x + 6 square units

Step-by-step explanation:

Area of a rectangle = Length × Width

Area of the rectangle = 2 × (5x² - 2x + 3)

= 2 × 5x² - 2× 2x + 2×3

= 10x² - 4x + 6 square units

Answer:

x = 3.25

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

...and is the order of operation.

First, subtract 3 from both sides of the equation:

4x + 3 = 16

4x + 3 (-3) = 16 (-3)

4x = 16 -3

4x = 13

Next, dvide 4 from both sides:

(4x)/4 = (13)/4

x = 13/4

x = 3.25

x = 3.25 is your answer.

~

Answer:

x = 3.25

Step-by-step explanation:

4x + 3 = 16

4x + 3 - 3 = 16 - 3

4x = 13

4x/4 = 13/4

x = 3.25

Answer:

Construction II

Step-by-step explanation:

Construct 3 perpendicular bisectors of the triangles sides; where they intersect is the point of concurrency. The distance from the point of concurrency to one of the vertices is the radius.

Answer:

1: C) y = -x + 1

2: D) y = -3x + 8

Step-by-step explanation:

Well number 1,

c is the correct option because,

-2 -> 2

2+1 - 3

This rule applies for all the x values.

2,

X: -2, -1, 0, 1, 2

Y: 14, 11, 8, 5, 2

d is the correct option because -3*-2 is 6 + 8 = 14.

this rule applies for all x values.

Thus,

the answers are C and D.

Hope this helps :)

Answer:

95°

Step-by-step explanation:

Angle 1 and 4 are opposite angles, thus equal, so:

3x+10 = 4x-15 =>

x = 25

Angle 1 and 4 are 85°

Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.

Angle 6 and 7 are again opposite, so angle 7 is 95° as well!

Answer:

Hey there!

The two lines in this graph are: y=-1/5x+2, and y=3x-2

Since y=-1/5x+2 is a dotted line, we know that we use the < or > symbols.

Since y=3x-2 is a straight line, we use the ≤ and ≥ symbols.

Thus, for area z, we have y<-1/5x+2, and y≥3x-2

Hope this helps :)

Answer:

14

Step-by-step explanation:

I attached a picture and I hope this helps ;) ❤❤❤

Answer:

The third number is 14

Step-by-step explanation:

To find the average of 3 numbers add the three numbers and divide by 3

Let x be the third number

( 45+16+x) /3 = 25

Multiply each side by 3

( 45+16+x) /3 *3 = 25*3

( 45+16+x) = 75

Combine like terms

61+x = 75

Subtract 61 from each side

61+x-61 = 75-61

x = 14

Answer:

[tex]\large \boxed{\sf \bf \ \ \text{The solutions are }(2,4) \text{ and } (-2,-4) \ \ }[/tex]

Step-by-step explanation:

Hello, this is the same kind of question that you have already posted( brainly.com/question/17141820).

I would suggest that you check my previous answer and try to apply the same logic here. When you try it if you have any question please let me know. It will be the more efficient way for you to learn how to solve it by yourself.

As I have already provided details for the previous question I will be more succinct here.

Again we can write y = y and then we have to solve the following.

[tex](x+1)^2-5=2x\\\\x^2+2x+1^2-5-2x=0\\\\x^2-4=x^2-2^2=(x-2)(x+2)=0\\\\x=2 \ \ or \ \ x=-2[/tex]

The solutions are (2,4) and (-2,-4)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

B

Step-by-step explanation:

sqrt30 -6^2 doesn't work

2.5 sqrt18 and 5 do work

Answer:

30°

Step-by-step explanation:

well AEB is a straight line which is 180° and we were already given the angles that made up the straight line ,so all u had to do was subtract 60° from 90°

BED =30°

Answer:

AEC=30

BED=30

Step-by-step explanation:

We know that AEC is 30 degrees because it is on line AB, along with a right angle and 60 degrees, add 90 to 60 to get 150, and subtract it from 180 to get your answer, 30

As for BED, AEC and BED are verticle angles so they are equivalent.

If you found this helpful, please consider giving me brainliest, it will help me a lot

Have a good day! :)

Answer: x = -2 , y = 3

Step-by-step explanation:

4x-y=-11

2x+3y=5

Solve 4x-y=-11 for y

Add -4x to both sides

4x-y+-4x=-11+-4x

-y=-4x-11

Divide both sides by -1

-y/-1=-4x-11/-1

y=4x+11

Substitute 4x+11 for y in 2x +3y=5

2x+3y=5

2x+3(4x+11)=5

Simplify both sides of the equation

14x+33=5

Add -33 to both sides

14x+33+-33=5+-33

14x=-28

Divide both sides by 14

14x/14=-28/14

x=-2

Substitute -2 for x in y= 4x+11

y=4x+11

y=(4)(-2)+11

Simplify both sides of the equation

y=3

*see attachment below showing the dot plot and box plot created by Tia

Answer:

Dot plot

Step-by-step explanation:

In a dot plot, the temperature of a day is represented by 1 dot. There are 30 dots on the box plot shown in the attachment that was made by Tia.

This dot plot display makes it easier to find how many days had a temperature that is higher than 15°.

Thus, from the dot plot, we have:

2 dots representing 2 days having a temperature of 16°C each

2 days also have daily temperature of 17°C

2 days have temperature of 18°C as well, and

1 day has temperature of 19° C.

Therefore, the number of days that had a temperature above 15°C is 7 days.

Answer:

Dot Plot, Box Plot

Step-by-step explanation:

I got the other guy's answer wrong but mine is right =)

Answer:

1. a=9     2. f=1    3. b=6

Step-by-step explanation:

1.) 4a-1=3a+8

subtract 3a from both sides

a-1+8

add 1 to both sides

a=9

2.) 1+f+3+f=f+5

combine like terms that are on the same side

2f+4=f+5

subtract f from both sides

f+4=5

subtract 4 from both sides

f=1

3.) construct a equation

b+5=11

subtract 5 from both sides

b=6