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3 years ago

Negative nine is greater than or equal to the sum of two - fifths times a number and 9.

Mathematics

1 answer:

Bumek [7]3 years ago

5 0

Answer:

W is either -22.5, or less than -22.5

Step-by-step explanation:

-9>=2/5 times w (I wasn't sure what you meant by "and" 9. Like 9w?)

W has to be a negative number, or else it would be greater than 9, which would make the equation wrong.

2/5 times -22 1/2=-9. So w can be -22 1/2 or -22.5

W can then be anything "lower" (on the left side) of -22.5.

W<-22.5

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The boxplot below shows salaries for CPAs and Actuaries in a town. 30 40 50 60 70 80 90 100 Salary (thousands of $) Actuary CPA

MA_775_DIABLO [31]

Answer: 75%

Step-by-step explanation:

In order to answer this question, we have to know the meaning of a box plot. Boxplots are especially useful in statistical analysis and gives us a meaningful range of values. A box plot consists of 2 shapes, which are the box part and the extended lines. The short sides of the box and the vertical line in the middle of the box represent a certain percentage of the values. The vertical line in the boxplot is the median of your dataset. For example, according to the shape given in the question, the median value for CPA's is 50 and this is closer to the left side of the box. This means that the first half ogf the dataset (when ranked from the smallest to the greatest) is closer to each other. The sides of the box represent the values at the 25% and 75% of the values respectfully.

For example, if we have 100 values, we rank them in order and the 25th value corresponds to the left side of the boxplot (named first quartile), 50th value (which is also the median) corresponds the vertical line in the box and and the 75the value corresponds to the right side of the box (named third quartile).

The extended arms are calculated as accordingly: IQR=(3rd quartile value-1st quartile value). Left extended arm is first quartile-1.5*IQR and right extended arm is third quartile+1.5*IQR. However, this information is not directly related to this question.

Now, this question should seem simpler. The median salary of CPA is 50 and this is equal to left side of the Actuary boxplot, which corresponds to the 25% of actuaries. As a result, CPA median salary is less than 75% of the Actuaries (100%-25%).

3 0

3 years ago

Why do two negatives equal a positive when adding?

alex41 [277]

Two negatives do not equal a positive when adding. If you're in debt and you add more debt, does that get you out of debt?

Two negatives do equal a positive when you're multiplying them together though. This makes sense if you imagine multiplication as squishing or stretching a particular number on the number line. For example, imagine multiplying 2 x 1/2 as squishing the number 2 two times closer to 0. When you multiply 2 by a negative number, say, -1, you squish it so far down that you flip it to the negative side of the number line, bringing it to -2. You can imagine a similar thing happening if you multiply a number like -4 by -2. You squish -4 down to zero, and then flip it to the positive side and stretch it by a factor of 2, bringing it to 8.

4 0

2 years ago

How do i solve -10(13+16k)-2

melisa1 [442]

-10 (13) - 10 (16k) - 2-130 - 10 (16k) - 2-130 - (160k) - 2- 160k - 132

3 0

3 years ago

I need help on number 35

scoray [572]

The symbol they are using is that of a ray so, order matters.

Ray BC is telling you the ray starts at point B like a line segment BUT continues on towards and through point C rather than stopping at it.

Ray CB is telling you just the opposite; the ray starts at point C, continues on towards and through point B.

8 0

3 years ago

Jessica is making cookies and brownies for a bake sale. Her recipe for cookies calls for 1 egg per batch, and her recipe for bro

skelet666 [1.2K]

Answer:

Number of batches of cookies = 4

Number of batches of brownies = 7

Step-by-step explanation:

Let the number of batches of cookies she made = x

And the number of batches of brownies = y

Total number of batches she made = 11

So the equation representing batches will be,

x + y = 11 ---------(1)

Her recipe for cookies calls for eggs = 1 per batch

So eggs required for x batches of cookies = 1 × x = x

Similarly, her recipe for brownies calls for eggs = 2 per batch

So, eggs required for y batches of brownies = 2y

Total number of eggs required = 18

Therefore, equation will be,

x + 2y = 18 ---------- (2)

Equation (2) minus equation (1)

(x + 2y) - (x + y) = 18 - 11

y = 7

From equation (1),

x + 7 = 11

x = 4

Therefore, number of batches of cookies and brownies she made were 4 and 7.

5 0

3 years ago