which of the following points are on the line given by the equation y equals 5X​

Answer:

(a) Attached to this response.

(b)

(i) 0 cups = 0.275

(ii) 4 cups = 0.125

(iii) 8 cups = 0.025

Step-by-step explanation:

(a) The frequency and relative frequency table has been attached to this response.

i. The first column, labelled x, is the number of cups of coffee consumed per day.

ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.

For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.

iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).

For example, the relative frequency of 2 cups of coffee is given by:

r = 7  ÷ 40 = 0.175

Also, the relative frequency of 4 cups of coffee is given by;

r = 5 ÷ 40 = 0.125

(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;

Pₓ = frequency of x ÷ total frequency

This is also the relative frequency of x

Therefore,

(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;

the relative frequency of 0 = 0.275

(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;

the relative frequency of 4 = 0.125

(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;

the relative frequency of 8 = 0.025

Answer:

5.2

Step-by-step explanation:

if you take 31.2 and divide it by 6 you will get 5.2

Answer:

5 1/5 pounds which equals 5.2 pounds

Step-by-step explanation:

31 2/10 = 31 1/5

31 1/5 = 156/5

156/5 ÷ 6 means 156/5 x 1/6

multiply numerators to get 156

multiply denominators to get 30

156/30 = 5 6/30 or 5 1/5 simplified

Answer:

95.40

Step-by-step explanation:

120x.13=15.60. discount

120-15.60=104.40 sales price

104.40x.15=15.66 additional discount

104.40-15.66=88.74 additional sales price

88.74x.075=6.66 sales tax

88.74+6.66=95.40 total price

Answer:

$17.50 is how much Priyah makes per hour

Answer:

AB = Secant

DB = Diameter

AB = Chord

OB = Radius

BC = Tangent

Step-by-step explanation:

The image provided below is a great reference!

Note: The answers are put in order.

Answer:

It would be 125 fish.

Step-by-step explanation:

This is because since there are 10 crustaceans for every 25 fish, there are 2.5 times more fish than crustaceans. Therefore, if there were 50 crustaceans, you would do 50 * 2.5 to get 125 fish.

Answer:

141.37167in³

Step-by-step explanation:

V=

π

d

2

2

h

=

π

6

2

2

5

≈

141.37167in³

Answer:

exact: V = 45pi in.^3

approximate: V = 141.4 in.^3

Step-by-step explanation:

V = (pi)r^2h

r = d/2 = 6 in./2 = 3 in.

V = (pi) * (3 in.)^2 * 5 in.

V = 45pi in.^3

V = 141.4 in.^3

Answer:

Option 3

Step-by-step explanation:

y=3+x is a straight line that runs through y=3 and x=-3

So your 3rd option here is the one.

Answer:

I think it's the third option

Answer:

the y is 4

and the x is -8

(x,y)

(8,4-)

Answer:

(2,-7)

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Angles that form a straight line add up to equal 180 degrees

Hence, e + 8 + 3e - 4 = 180

                      ^ ( note that we just created an equation that we can use to

                          solve for e )

Using the equation created, we then solve for e

e + 8 + 3e - 4 = 180

step 1 combine like terms

3e + e = 4e

8 - 4 = 4

we now have 180 = 4e + 4

step 2 subtract 4 from each side

180 - 4 = 176

4 - 4 cancels out

we now have 176 = 4e

step 3 divide each side by 4

176 / 4 = 44

4e / 4 = e

we're left with e = 44

Answer:

It is 40 I hope that it is helpful have a nice day

Answer:  a is 21 b is 45 and c is yes more people are going above because the median is above the speed limit

Step-by-step explanation:

Answer:

no thanks for your number

Step-by-step explanation:

Have a great day

Answer:

yes, i think it is

Step-by-step explanation:

Answer:

Yes...your right...but no...its 28 degrees.

Step-by-step explanation:

So bascially, angle C is 90 degrees. So is angle D.

We know A is 28 degrees.

We know a tiangle is 180 degrees.

We dont know the degree of C in the first trinagle or the secodn triangle, but again, we know the total degrees of C is 90.

To find the missing angle, we must find what C is first.

So, we know we can subtract 90 from 180 to get 90. Since there is a 90 degree angle in the first triangle.

Next we can subtract 28, since we know that is the measure of angle A.

This gets us 62.

Now subtract 62 from the 90 degrees of angle C. THis will find us its angle in the second traingle.

This gets us 28.

This is our missing number.

So you were wrong in the sense that you solved for the wrong angle y, but you did get the right answer:

Since we know that a triangle is 180, and one of these is a right angle, there is 90 degrees.

If we subtracrt the 28 we got just now, we would get 62, which is angle B, or DBC.

However, the 28 is angle C, or DCB.

So your answer is actually 28, not 62.

Hope this helps!

Answer:

Yes or No: Yes

Explanation: It is a function because each input is paired with only one output, as shown in the table.

Step-by-step explanation:

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Given equation in the question is,

[tex]\frac{2}{\text{log}_x(xy)}+\frac{2}{\text{log}_x(xy)}+3=5x[/tex]'

Since, [tex]\text{log}_a}(xy)=\frac{\text{log(a)}}{\text{log}(xy)}[/tex]

[tex]\frac{2\text{log}x}{\text{log}(xy)}+\frac{2\text{log}y}{\text{log}(xy)}+3=5x[/tex]

[tex]\frac{2(\text{log}x)+2(\text{log}y)}{\text{log}(xy)}=5x-3[/tex]

[tex]\frac{2[\text{log}(x)+\text{log}(y)]}{\text{log}(xy)}=5x-3[/tex]

[tex]\frac{2\text{log}(xy)}{\text{log}(xy)}=5x-3[/tex]

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

[tex]2+3=5x[/tex]

[tex]5x=5[/tex]

[tex]x=1[/tex]

Answer:

V = 696.91

Step-by-step explanation:

Volume of a sphere formula:

V = 4/3πr³

Given:

d = 11

r = d/2

r = 5.5

Work:

V = 4/3πr³

V = 4/3π(5.5)³

V = 4/3π(166.375)

V = 696.91

Answer:

X = -2

Step-by-step explanation:

Hope this helps

Answer:

[tex] \displaystyle \theta = \frac{3\pi}{4},\frac{11\pi}{12}, \frac{7\pi}{4}, \frac{23\pi}{12} [/tex]

Step-by-step explanation:

we would like to solve the following trigonometric equation on interval of [0,2π)

[tex] \displaystyle \cos \left(2 \theta + \frac{\pi}{3} \right ) = \frac{ \sqrt{3} }{2} [/tex]

remember that,

[tex] \displaystyle \cos(t) = \cos(2\pi - t) [/tex]

so the equation has two solutions

[tex] \begin{cases} \displaystyle \cos \left(2 \theta + \frac{\pi}{3} \right ) = \frac{ \sqrt{3} }{2} \\ \cos \left(2\pi - (2 \theta + \frac{\pi}{3} )\right ) = \frac{ \sqrt{3} }{2} \end{cases}[/tex]

take inverse trig both sides which yields:

[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} \\ 2\pi - 2 \theta - \frac{\pi}{3} = \frac{\pi}{6} \end{cases}[/tex]

simplify the second equation:

[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} \\ \frac{5\pi}{3} - 2 \theta = \frac{\pi}{6} \end{cases}[/tex]

add period of 2kπ:

[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} + 2k\pi \\ \frac{5\pi}{3} - 2 \theta = \frac{\pi}{6} + 2k\pi\end{cases} [/tex]

By making theta subject of the equation we acquire:

[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + k\pi \\ \theta = \frac{3\pi}{4} - k\pi\end{cases} [/tex]

since [tex]k\in\mathbb{Z}[/tex] we get:

[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + k\pi \\ \theta = \frac{3\pi}{4} + k\pi\end{cases} [/tex]

as we want to Solve the trigonometric equation on the interval of [0,2π) we get

[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} \\ \theta = \frac{3\pi}{4} \end{cases} \text{and} \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + \pi \\ \theta = \frac{3\pi}{4} + \pi\end{cases} [/tex]

by simplifying we acquire:

[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} \\ \theta = \frac{3\pi}{4} \end{cases} \text{and} \begin{cases} \displaystyle \theta = \frac{23\pi}{12} \\ \theta = \frac{7\pi}{4} \end{cases} [/tex]

and we are done!

hence,

[tex] \displaystyle \theta = \frac{3\pi}{4},\frac{11\pi}{12}, \frac{7\pi}{4}, \frac{23\pi}{12} [/tex]

15.56 in.

Step-by-step explanation:

i'm pretty sure i did it right, but im not sure. i haven't done geometry in like over 2 years.

find the hypotenuse of the triangle with 7 in. and 12 in. as your legs with the Pythgorean theorem (a^2 + b^2 = c^2, c equals the hypotenuse)

use that number you just got (I got ) and use it as one leg, and 7 in. as the other leg, with d as your hypotenuse

use the Phythagorean theorem again to find d, andddd... you've got your answer!

Answer: Ok well when you do the math you get 14.76 then round to the nearest tenth of an inch you get 17.8. So, d ≈ 14.8

Step-by-step explanation:

I did the math...

Answer:

[tex]456\ m^2[/tex]

Step-by-step explanation:

In order to find the surface area of a 3-dimensional figure, one must find the 2-dimensional area of all of its faces, then add up the values to find the surface area of the entire figure. The given prism is drawn out in the form of a net, thus, it is rather easy to find the area of each face, and add up the area to find the surface area.

The lateral surface area refers to the surface area of a figure, not including the base of the figure. In this case, the base is the largest rectangle: the one with the dimensions of the following length  

[tex](12)*(18)[/tex]

Use the following formulas to find the surface area of each face:

Rectangle: [tex](length)(width)[/tex]

[tex](10)(18)=(180)[/tex]

[tex](10)(18)=(180)[/tex]

Triangle:[tex]\frac{(base)(height)}{2}[/tex]

[tex]\frac{(12)(8)}{2}=48[/tex]

[tex]\frac{(12)(8)}{2}=48[/tex]

Add up all of these values to find the total surface area:

[tex](180)+(180)+(48)+(48)=456[/tex]

Answer:

7

Step-by-step explanation:

you just divide 8/56= 7

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

Step 1:

Start by setting it up with the divisor 56 on the left side and the dividend 8 on the right side like this:

 56⟌8    

Step 2:

The divisor (56) goes into the first digit of the dividend (8), 0 time(s). Therefore, put 0 on top:

   0    

 56⟌8    

Step 3:

Multiply the divisor by the result in the previous step (56 x 0 = 0) and write that answer below the dividend.

      0    

 56⟌8    

   0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (8 - 0 = 8) and write the answer below.

   0    

 56⟌8    

    -0  

     8    

the answer to 8 divided by 56 calculated using Long Division is: 7

Answer:

The third one

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

Answer:

Harry receives £4500

Step-by-step explanation:

Sum of the ratio = 8

Total amount - 7200

[tex]Jay's\ share = \frac{1}{8} \times 7200 = 900\\\\Sheila's \ share = \frac{2}{8} \times 7200 = 2 \times 900 = 1800\\\\Harry 's \ share = \frac{5}{8} \times 7200 = 5 \times 900 = 4500[/tex]

Answer:

Step-by-step explanation:

convert either gram into kg or kg into gram

lets convert kg into g

1 kg=1000g

20kg=1000*24g

=20000g

450/20000*100%

450/200%

2.25%

first convert 450 g to kg = 0.45 kg

Now 0.45 kg as a. percentage of 20 kg = 0.45/20×100= 2.25%

Answer:

Step-by-step explanation:

[tex]x^{5} -x^{4}-2x^{3} +2x^{2} =0\\\\x^{4} (x-1) -2x^{2} (x-1) =0\\\\(x^{4} -2x^{2} ) (x-1)=0\\\\ x^{2} (x^{2} -2)(x-1) =0[/tex]

solutions are

x² =0 so x=0

x²-2 = 0 so x= ±√2

x-1 =0 so x= 1

Answer:

169.6 m³

Step-by-step explanation:

the volume = 3.14 × 3² × 6

= 3.14 × 54 = 169.6 m³