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Gemiola [76]
2 years ago
9

What is the equation of the blue line?

Mathematics
1 answer:
motikmotik2 years ago
3 0

Answer:

y = 2x + 3

Step-by-step explanation:

Get any two points on the line, say (0, 3) and (2, 7)

Slope = (7 - 3)/(2 - 0) = 4/2 = 2

y = 2x + b

use (0, 3), x = 0, y = 3

3 = b

so the equation is y = 2x + 3

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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
GuDViN [60]

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%).

5 0
3 years ago
Which number is an irrational number
12345 [234]

Answer:

A choice.

Step-by-step explanation:

Irrational number is a number that cannot be written in a fraction form. All square roots are classified as an Irrational number unless can be evaluated to Rational number.

From A choice, you cannot evaluate the square root of 7 into any rational number. Therefore, it is an Irrational number.

B choice, even though there is a square root, but you can still evaluate from square root of 4 to 2.

For C and D, both are integers. Integers are classified to be Rational Number. Therefore, C and D both are rational.

7 0
2 years ago
The height of dachshunds is usually 1/3 their length. If Mollie is 20 inches long, how tall is she?
arlik [135]

This is a proportion problem.

Let's make her Length x and her height 1/3 x.

1/3 x = 20 inches

x = 6 2/3 inches

Molly's height is 6 2/3 inches.

Check it.

6 2/3 x 3 = ? (change the mixed number to a fraction)

20/3 x 3 = ? (multiply)

60/3 = ? (divide)

20 inches. Yes, it checks.

8 0
3 years ago
Read 2 more answers
4x^2-12x-1=0 in quadratic form
Tom [10]

Answer:

Step-by-step explanation:

8 0
3 years ago
A rental moving truck can haul a maximum of 7,500 pounds. Dejuan has boxes that weigh 40 pounds and boxes that weigh 75 pounds.
alexdok [17]
The first graph is the correct answer.
4 0
3 years ago
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