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Tom [10]
2 years ago
13

What is the mode of 156 157 158 159 160 161 162 163 164 165

Mathematics
2 answers:
AnnyKZ [126]2 years ago
6 0
There is no mode because mode is meant to be the answer which appears the most and in this case there is no number which appears the most
xenn [34]2 years ago
5 0

Answer:

There is no mode in this sequence.

Step-by-step explanation:

The mode is the most frequent number.

In your case, we can analyze the set:

156, 157, 158, 159, 160, 161, 162, 163, 164, 165

Since these are all straightforward consecutive integers, there are no recurring numbers.

Thus, there is no mode in this sequence.

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determine the average rate of change of the function between the given variables h(x) = x; x=a, x=a+h​
Alecsey [184]

Answer:

the average rate of change is 4.

Step-by-step explanation:

Find the average rate of change of f(x)=x^2 on the interval [1,3].

The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)/b−a.

We have that a=1, b=3, f(x)=x^2.

Thus, f(b)−f(a)/b−a=((3))^2−(((1))^2)/3−(1) = 4.

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3 years ago
3x+4y=-36, -2x+4y=-16
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Answer:

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Work out the volume of the solid shape<br><br> Give your answers in terms of pi please
kirill [66]

*The complete question is in the picture attached below.

Answer:

756πcm³

Step-by-step Explanation:

The volume of the solid shape = volume of cone + volume of the hemisphere.

==> 270πcm³ + ½(4/3*π*r³)

To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.

Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.

==> Volume of cone = ⅓πr²h

⅓*π*r²*10 = 270π

⅓*10*r²(π) = 270 (π)

10/3 * r² = 270

r² = 270 * ³/10

r² = 81

r = √81

r = 9 cm

Thus, volume of hemisphere = ½(4/3*π*r³)

==> Volume of hemisphere = ½(⁴/3 * π * 9³)

= ½(972π)

Volume of hemisphere = 486πcm³

Volume of the solid shape

= volume of cone + volume of the hemisphere.

==> 270πcm³ + 486πcm³

= 756πcm³

3 0
2 years ago
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