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Kipish [7]
3 years ago
9

To investigate whether or not sexism was present in the workplace, 48 male bank supervisors were each given a personnel file and

asked to judge whether the person represented in this file should be recommended for promotion or whether the person's file should be held. The files were identical except that half of the files were labeled Male and the other half Female. The data is summarized below.
Promote No promotion Total
Male 21 3 24
Female 14 10 24
Total 35 13 48
Mathematics
1 answer:
Volgvan3 years ago
6 0
There is a clear bias. It is important however to not look at how many women got promoted with respect to men but which proportion of each subset got promoted. In the man files, 21/24 got promoted; this is a very high percentage, equal to 87.5%. Nonetheless, regarding women, 14/24 got promoted, 58,3%, barely over half of them. Hence, we conclude that there is a significant bias that favors male workers.
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Can somebody help me with the Math's questions with Forming and Solving Equations? Thanks
mojhsa [17]

Step-by-step explanation:

the area of the square is (x+2)^2 and the factored form of it is x^2+4x+4

since we know the area is = 7 therefore

x^2 + 4x +4 = 7 and x^2 + 4x = 3

if you want to find the value of x :

x^2+4x+4 = 7

x^2+4x -3 = 0

(x-3)(x-1)=0

x = 3 or

x = 1

5 0
3 years ago
Hi please help ! this is rlly confusing! 15 points .
Bingel [31]
B. Quadrant 2 you can tell because point J is in the upper left quadrant.
4 0
2 years ago
What is 3/8x + 15/2=18
mart [117]


Let's solve for x --

Isn't it always a little easier to solve a math problem with starting by rewriting the equation?

3/8x + 15/2 = 8

Step 1) Subtract 15/2 from both sides

3/8x + 15/2 - 15/2 = 8 - 15/2

3/8x = 1/2

Step 2) Multiply both sides by 8/3

(8/3) × (3/8x) = (8/3) × (1/2)

x = 4/3

FINAL ANSWER -

x = 4/3

↑   ↑   ↑  Hope this helps! :D

3 0
3 years ago
A rectangular garden has a walkway around it. The area of the garden is 6(5.5x + 1.5). The combined area of the garden and the w
Anika [276]

Answer:

The area of the walkway around is 26 x + 16 as the sum of two terms

Step-by-step explanation:

3 0
3 years ago
Find the measure indicated. Assume that the lines which appear to be tangent are tangent. PART 3
ludmilkaskok [199]

I'll do problems 13 and 14 to get you started.

=====================================================

Problem 13

<h3>Answer:  32 degrees</h3>

-----------------------

Explanation:

Refer to the diagram below for problem 13. Since BD is a tangent of the circle, this means angle ABD is 90 degrees, and furthermore x+y = 90. This solves to y = 90-x.

If we focus on triangle ABC, then we can add the interior angles and set the sum equal to 180

A+B+C = 180

z+y+y = 180

z+2y = 180

z+2(90-x) = 180 .... plug in y = 90-x

z+180-2x = 180

z-2x = 180-180

z-2x = 0

z = 2x

We'll use this later.

Now move onto triangle ABD. This is a right triangle due to angle ABD being 90 degrees. The acute angles z and 26 are complementary, meaning they add to 90. So,

z+26 = 90

z = 90-26

z = 64

Now plug this into z = 2x and solve for x

z = 2x

64 = 2x

2x = 64

x = 64/2

x = 32

=====================================================

Problem 14

<h3>Answer: 31 degrees</h3>

-----------------------

Explanation:

Refer to the image shown below for problem 14. Like before, I've added various labels to it to help find the angle we're after (the red angle x).

Note how I've drawn a dashed line from point A to point D. This splits up quadrilateral ABCD into two triangles ABD and ACD. These triangles can be shown to be congruent using the HL (hypotenuse leg) theorem.

The congruent triangles also implies that angle DBC and angle BCD are the same measure (both are shown in green as the variable y).

Focus on triangle BCD. It has interior angles of: y, y and 62. Add them up, set the sum equal to 180.

y+y+62 = 180

2y+62 = 180

2y = 180-62

2y = 118

y = 118/2

y = 59

As the image attachment mentions, the angles x and y add to 90 degrees. This is because angle ABD is 90 degrees, due to segment BD being tangent to the circle. So x+y = 90 leads to x = 90-y, and therefore,

x = 90-y

x = 90-59

x = 31

Side note: it is not a coincidence that we ended up with half of the value of 62.

3 0
3 years ago
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