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GaryK [48]
3 years ago
14

Find the mode(s) for the given sample data.

Mathematics
2 answers:
shtirl [24]3 years ago
5 0

Answer:

So the modes are 4.9 and 4.2

ryzh [129]3 years ago
4 0

Answer:

4.9 & 4.2

Step-by-step explanation:

First, we will have to define mode,

 

“Mode is the most frequently occurring value of the given data.”

The value with the greatest frequency is called mode. In order to find mode, we have to skim through the data. The value which is repeated most is the mode of the given data. A data can have more than one modes.

For the above data,

4.9 is repeated 3 times.

4.2 is repeated 3 times.

These both numbers have highest frequency in the data.

So the modes are 4.9 and 4.2 ..  

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HELP ASAP: Factor By Grouping: 12a^3 - 9a^2 + 4a - 3
MAVERICK [17]

We have been given an expression 12a^3 - 9a^2 + 4a - 3. We are asked to factor the given expression by grouping.

First of all, we will make two groups of our expression as:

(12a^3-9a^2)+( 4a - 3)

Now we will factor of greatest common factor from each group.

(3a^2\cdot 4a-3a^2\cdot 3)+( 4a - 3)

3a^2(4a-3)+1( 4a-3)

Now we will factor out common terms (4a-3) as:

(4a-3)( 3a^2+1)

Therefore, the factorized form of our given expression would be (4a-3)( 3a^2+1).

7 0
3 years ago
Suppose that a coin is tossed three times and the side showing face up on each toss is noted. Suppose also that on each toss hea
sleet_krkn [62]

Answer:

1a

Step-by-step explanation:

7 0
3 years ago
Sterre charges $ 3 5 $35dollar sign, 35 to file tax returns, but files for free if she only needs the easiest form. Then she don
blagie [28]

Given:

  • $35 is charged per form, but $0 if only the easiest form is filed.
  • $2 donated for every single tax return filed (since it is not explicitly mentioned otherwise, I will assume she donates $2 whether she charges $35 or does it for free)
  • Total amount charged for the full year = $7245
  • Total amount donated for the full year = $1242

To Find: The number of forms for which Sterre charged $35 and the number of forms Sterre did it for free.

Concept:

We can make use of the Unitary Method here. <u>Given the number of units in a group, the Unitary Method can be used to find the value of a single unit or and individual unit when we are given the value for a group.</u>

So,

<u>Value of Single Unit = Value of Entire Group of Units ÷ Number of Units in the Group</u>


Explanation & Calculation:

We are given that Sterre charged $7245 for the full year. Taking each Unit as the $35 type of form, and value of each Unit would be the amount that Sterre charges per form which is obviously $35, we can find the number of $35 forms using the expression written above.

So, putting in the values into the expression,

$35 = $7245 ÷ number of $35 forms

Therefore, number of $35 forms = $7245 ÷ $35

Using simple division, number of $35 forms = 207

Next, we are given Sterre donated $1242 in the full year and she donates $2 for every form (whether it is the $35 form or the free form).

If this time, we define each Unit as being each form (both $35 form and free form), value of each unit we define as the $2 donation money, we see that the value of the full group of units is $1242.

So, putting the values into the expression,

$2 = $1242 ÷ total number of forms

Therefore, total number of forms = $1242 ÷ $2

Using simple division, total number of forms = 621


Conclusion:

Sterre has filed <u>a total of 621 tax returns</u> (both charged and for free).

Of these 621 returns filed, <u>for 207 forms, Sterre charged $35</u>.

The number of returns Sterre filed for free (that is, the easiest forms) is

Total number of forms - Chargeable forms = 621 - 207 = 414

Thus, Sterre filed <u>414 tax returns for free</u>.


8 0
3 years ago
If f(x) = 3x -11 , find -4f (-3)
gladu [14]

Answer:

80

Step-by-step explanation:

-4f(x)=-12x+44

-4f(-3)=36+44=80

6 0
3 years ago
Can someone answer this question please (picture)
erik [133]

Answer:

31.5 units^2

Step-by-step explanation:

Rectangle area (RA) = l × w

Triangle area (TA) = (bh)/2

RA = 3 × 7

RA = 21

TA = (7 × 3)/2

TA = 21/2

TA = 10.5

(Triangles are congruent as shown by the lines on each side of the triangle so I can calculate area of both of them together as I just did)

Add areas together

21 + 10.5 = 31.5

7 0
3 years ago
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