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3 years ago

What is the mode of 5,6,7,8,9,10

Mathematics

2 answers:

seropon [69]3 years ago

8 0

Answer:

No mode

Step-by-step explanation:

The mode of a data set is the number that occurs the most frequently.

5,6,7,8,9,10

In this data set, each number shows up once, so there is no mode.

Hope this helps! :)

Eduardwww [97]3 years ago

8 0

There is no repeating number or most frequent number meaning there would be no mode in this set of numbers .

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Please someone help me to prove this.

morpeh [17]

Answer: see proof below

Step-by-step explanation:

Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ

Use the Sum/Difference Identities:

sin(α + β) = sinα · cosβ + cosα · sinβ

cos(α - β) = cosα · cosβ + sinα · sinβ

Use the Unit circle to evaluate: sin45 = cos45 = √2/2

Use the Double Angle Identities: sin2Ф = 2sinФ · cosФ

Use the Pythagorean Identity: cos²Ф + sin²Ф = 1

Proof LHS → RHS

LHS: 2sin(45 + 2A) · cos(45 - 2A)

Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)

Unit Circle: 2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]

Expand: 2[(1/2)cos²2A + cos2A·sin2A + (1/2)sin²2A]

Distribute: cos²2A + 2cos2A·sin2A + sin²2A

Pythagorean Identity: 1 + 2cos2A·sin2A

Double Angle: 1 + sin4A

LHS = RHS: 1 + sin4A = 1 + sin4A $\checkmark$

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3 years ago

if a car drives 80 miles in 1 hours how many miles will the car travel in 30 minutes at this rate? how many miles will it travel

eimsori [14]

40 miles in 30 minutes, 60 miles in 45 minutes

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Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1? On a coordinate plane, a rectan

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Answer:

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Step-by-step explanation:

Every point coordinate of the dilated figure will be smaller by the same factor.

Looking at the original (0, 3) coordinate, we find that possible answer choices include ...

A (0, 1) has a scale factor of 1/3

B (0, 4) has a scale factor greater than 1

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Looking at the rest of the points in the answer selections, we find that the scale factors in choices C and D are not consistent from one point to another (or even within the same point). Those choices must be rejected.

In selection A, the image points are listed out of order, tending to confuse the issue. However, A is the correct choice.

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