Determine the number of bars and bar width in the histogram using the following 50 numbers. 26 39 39 22 18 8 52 69 15 2 60 87 98 10 39 50 3 41 62 29 78 97 60 72 65 15 24 14 14 98 50 60 17 82 44 52 91 77 52 71 9 98 36 93 43 86 87 20 93 98

[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

what shape?

you gotta give more lol

the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.

He knows the relation:

3 cups of granola ⇒ 0.75 cups of raisins.

Assuming this is a proportional relation of the form:

y = k*x

Where k is a constant.

Then when x = 0, we also have y = 0, so the line also passes through the point (0, 0), which is the origin.

Then the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.

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Answer:

334.4 m²

Step-by-step explanation:

The formula for the area of a sector is given as:

1/2 × r² × θ

Where θ = Central angle

Area of a Circle = 700 m²

The formula for the area of a circle = πr²

r = Radius of a circle

r² = Area / π

r = √Area / π

r = √700/π

r = 14.927053304 m

Approximately, r = 14.93 m

Therefore, the area of the sector

= 1/2 × r² × θ

= 1/2 × 14.93² × 3 rad

= 334.35735 m²

Approximately, Area of the sector = 334.4 m²

Answer:

(-3,2)

Step-by-step explanation: The bottom most point of the graph is 3 back from 0 and 2 up from 0

Answer:

Step-by-step explanation:

V = pi r^2 h

V = 187

pi = 3.14

r = 3

h = ?

187 = 3.14 * 3^2 * h

187 = 3.14 * 9 * h

187 = 28.26 * h

187 / 28.26 = h

h = 6.62

Answer:

The height of cylinder is 6.61 inches.

Step-by-step explanation:

Volume of cylinder = π × r ² × h

Where,

Using Formula

Volume of cylinder = π × r ² × h

Substitute the values

187 inches ³ = π × ( 3 inches ) ² × h

Using π = 3.14

187 inches ³ = 3.14 × 9 inches ² × h

multiply

187 inches ³ = 28.26 inches ² × h

Divide , we get

187 inches ³ / 28.26 = h

6.61 inches = h

Therefore, The height of cylinder is 6.61 inches.

Answer:

I'm gonna guess your length is positive and you made a typing mistake. If that's so....

Step-by-step explanation:

Area= length x breadth

       =[tex]\frac{3}{7\\}[/tex] x [tex]\frac{16}{3}[/tex]

       =[tex]\frac{16}{7}[/tex]

       =2.29 [tex]unit^{2}[/tex]

Answer:

[tex]GQ =25[/tex] --- GoTV

Step-by-step explanation:

Given

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

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

Required

Find GQ

Since Q is the midpoint, then:

[tex]GH = 2 * GQ[/tex]

This gives:

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

Open bracket

[tex]5x - 5 = 4x+6[/tex]

Collect like terms

[tex]5x - 4x = 5+6[/tex]

[tex]x =11[/tex]

We have:

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

This gives:

[tex]GQ =2*11+3[/tex]

[tex]GQ =25[/tex]

Answer:

42g

Step-by-step explanation:

70% of 60 = 42

Answer:

[tex]x = 0, - 7[/tex]

Step-by-step explanation:

[tex]8x^2 + 56x=0[/tex]

[tex]8x(x)+56x=0[/tex]

[tex]8x(x)+8x(7)=0[/tex]

[tex]8x(x+7)=0[/tex]

[tex]x=0 [/tex]

[tex]x+7=0[/tex]

[tex]x=−7[/tex]

Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.

8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.

The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means

(3.2 + q) / (8 + q) = 0.60

Solve for q :

3.2 + q = 0.60 (8 + q)

3.2 + q = 4.8 + 0.6q

0.4q = 1.6

q = 4

Answer: 8

Step-by-step explanation:

are you in elementary school

Answer:

8 staff

Step-by-step explanation:

6 +2 = 8 There are 8 staff working there.

If this is done a different way explain or lmk? Hope you are having a wonderful day!! Of not it'll get better I promisee! <33 :))

Answer:

$6

Step-by-step explanation:

(x-3)+x=15

2x-3=15

2x=18

x=9

9-3=6

Melanie makes 6 and Carlita makes 9.

Answer:

A

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

Notice that the in the throw of a pair of dice.

Sum               No. of times Favorable outcome

8                                 5

9                                  4

10                                 3

11                                  2

12                                 1

And total otcome = 6×6 =36

There P ( richard win) = P(X≥8)

=  (5+4+3+2+1)/36

=5/12

[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]

Use the following property above to find the value. Substitute f(x) and g(x) in.

[tex] \large{(2x + 3) + ( {x}^{2} - 8)} \\ \large{2x + 3 + {x}^{2} - 8}[/tex]

Evaluate/Combine like terms.

[tex] \large{2x + {x}^{2} - 5}[/tex]

This step is optional but it's the best to arrange the degree.

[tex] \large{ {x}^{2} + 2x - 5} \\ \large{(f + g)(x) = {x}^{2} + 2x - 5}[/tex]

Answer

Let me know if you have any doubts!

right triangle

Hope this helps! :)

Answer:

the 3 is in the hundredths place

Step-by-step explanation: the numbers from behind the decimals goes tenths, hundredths, thousandths. there is two spots behind making it hundredths  

Answer:

B

Step-by-step explanation:

Slope Formula

6 - (-2) / 3 - 1

8 / 2 = 4

The slope of the graph is 4.

Option B is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The coordinates from the graph are:

(1, -2), and (3, 6)

Now,

Slope.

= (6 -(-2)) / (3 - 1)

= (6 + 2) / 2

= 8/2

= 4

Thus,

The slope of the graph is 4.

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Answer:

A

Step-by-step explanation:

The position of an atom moving inside a cathode ray tube is given by the function:

[tex]f(t)=t^3-4t^2+3t[/tex]

Where f(t) is in meters and t is in seconds.

And we want to determine its instantaneous velocity at t = 2.5 seconds.

The velocity function is the derivative of the position function. Thus, find the derivative of the function:

[tex]f'(t)=3t^2-8t+3[/tex]

Then the instantaneous velocity at t = 2.5 will be:

[tex]f'(2.5)=3(2.5)^2-8(2.5)+3=1.75\text{ m/sec}[/tex]

Our answer is A.

Answer:

Instantaneous Velocity:

[tex]\longrightarrow\:\rm v = \dfrac{dt}{dy}[/tex]

[tex]\longrightarrow\:\rm v = \dfrac{d}{dy}( {t}^{3} - 4 {t}^{2} + 3t) \\ [/tex]

[tex]\longrightarrow\:\rm v = 3 {t}^{3 - 1} - 2.4 {t}^{2 - 1} + 3[/tex]

[tex]\longrightarrow\:\rm v = 3 {t}^{2} - 8 t + 3[/tex]

[tex]\longrightarrow\:\rm v = 3 {(2.5)}^{2} - 8 (2.5)+ 3[/tex]

[tex]\longrightarrow\:\rm v = 3 \times 6.25 - 20+ 3[/tex]

[tex]\longrightarrow\:\rm v = 18.75 - 20+ 3[/tex]

[tex]\longrightarrow\:\rm v = 18.75 - 20+ 3[/tex]

[tex]\longrightarrow\:\bf v = 1.75 \: {ms}^{ - 1} [/tex]

Answer: 3/q

Step-by-step explanation:

Answer:

(10, 15)

Step-by-step explanation:

To get the origin of the equation 2y+3x = 10, we need to get the x and y-intercept of the line.

x-intercept occurs at y = 0

If y = 0

2(0)+3x =10

3x =10

x = 10/3

x = 1.33

y-intercept occurs at x = 0

If x = 0

2y+3(0) =10

2y =10

y = 10/2

y = 5

Hence the coordinate at the origin is (10/3, 5). If this coordinate is dilated by 3, the required coordinate will be at (10/3*3, 5*3) = (10, 15)

Hence the required coordinate is (10, 15)

Answer:

Step-by-step explanation:

[tex]81^{1/2}[/tex]

[tex]3^4*{1/2}[/tex]

[tex]3^{4/2}[/tex]

[tex]3^{2}[/tex]

9

[tex]-16^{3/4}[/tex]

[tex](-2)^{4 *3/4}[/tex]

[tex](-2)^{12/4}[/tex]

[tex](-2)^{3}[/tex]

-8

Answer:

Option(A)

Step-by-step explanation:

y=4x+2

When you replace the value of x in the equation you get the value of y

Answer:

the answer is A since if we lay it out we will get y

-6=-2*4+2

2=0*4+2

6=1*4+2

Y = 20

X = 70

We know Y is 20 because both triangles are the same size. 20 is in the opposite corner to Y. The right corner is 90 degrees. There are 180 degrees in a triangle. To get your answer you are going to add 20 and 90 to get 110 then you will subtract 110 from 180.

Answer:

=−2r3+4r2

Step-by-step explanation:

r2−2r3+3r2

=r2+−2r3+3r2

=r2+−2r3+3r2

=(−2r3)+(r2+3r2)

=−2r3+4r2