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2 years ago

Look at this set of 10 numbers:

2 answers:

swat322 years ago

8 0

In the original set of numbers, the median is six
But, if six was added to the set, then the median would be six
So the median wouldn't decrease at all

Valentin [98]2 years ago

8 0

The median is the middle number of all the numbers in the data set which are in numerical order.

1st put them in numerical order and close one off from each end until you get to the middle

1 3 4 5 5 7 9 9 9 9

Because there is an even number, there are two numbers so you have to take the average.

(5+7)/2 = 6

For the new number group, add 6 to the list

1 3 4 5 5 6 7 9 9 9 9

Cross one off from each side until you get the middle and the new median is also 6.

Therefore, the median did not decrease, it stayed the same.

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A $25 credit and a $25 charge appear similar, yet they are very different.

lorasvet [3.4K]

Answer:

Similarities:

Both transactions have a magnitude of $25.
Both transactions result in a change of $25 in the account.
The absolute value is the same ($25).

Differences:

The two transactions yield opposite results.

Step-by-step explanation:

A $25 credit results in a positive action in the account while the $25 charge is a negative action on the account.

3 0

2 years ago

If x is a whole number and 437 = (21 + x)(21 - x), then x =

IrinaK [193]

437 = (21 + x)(21 - x), then x = 2, -2

3 0

3 years ago

3. Lonnie has a gift card worth $600 for a local entertainment store. Movies cost $20 each and newly released video games cost $

Mandarinka [93]

Answer:

8 movies and 6 video games

Step-by-step explanation:

Given

$Gift\ Card = \$600$

$Movies =\ $20$

$Video\ Game = \$50$

$Minimum\ Items = 13$

Required

Determine the items Lonnie can afford

To solve this question, we make use of trial by error method by taking the options one at a time:

Option 1: 6 movies and 4 video games

This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.

Option 2: 14 movies and 7 video games

$Cost = 14 * \$20 + 7 * \$50$

$Cost = \$280 + \$350$

$Cost = \$630$

This option can not be considered because the cost of purchase is greater than Lonnte's worth of Gift card.

Option 3: 2 movies and 10 video games

This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.

Option 4: 8 movies and 6 video games

$Cost = 8 * \$20 + 6 * \$50$

$Cost = \$160 + \$300$

$Cost = \$460$

Hence, the correct option is 8 movies and 6 video games

4 0

2 years ago

What is a solution to x ≥ 20

Triss [41]

Answer:

Step-by-step explanation:

Any number equal to or greater than 20 is a solution. 22 would be a solution.

4 0

2 years ago

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 $\checkmark$

6 0

2 years ago