Which graph represents the linear system given below? -x − y = -2 4x − 2y = -4

Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The results from 100 skin samples

zheka24 [161]

Answer: a. 0.40 b. 0.23 c . 0.435 d . 0.25

Step-by-step explanation:

melanin content Total

high low

moisture high 13 10 23

content low 47 30 77

Total 60 40 100

Let A denote the event that a sample has low melanin content, and let B denote the event that a sample has high moisture content.

a) Total skin samples has low melanin content = 10+30=40

P(A)= $\dfrac{40}{100}=0.40$

b) Total skin samples has high moisture content = 13+10=23

P(B) = $\dfrac{23}{100}=0.23$

c) A ∩ B = Total skin samples has both low melanin content and high moisture content =10

P(A ∩ B) = $\dfrac{10}{100}=0.10$

Using conditional probability formula , $P (A|B)=\dfrac{P(A\cap B)}{P(B)}$

$P (A|B)=\dfrac{0.10}{0.23}=0.434782608696\approx0.435$

d) $P (B|A)=\dfrac{P(A\cap B)}{P(A)}$

$P (B|A)=\dfrac{0.10}{0.40}=0.25$

8 0

4 years ago

What transformation is represented by the rule (x, y)→(−y, x)

Neko [114]

X and y are switched and y times -1 so

reflection across the x=y line (identiy line)
and since the x place it times -1, that is a reflection across y axis

so reflection across x=y line and y axis

6 0

4 years ago

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Chris has decided to triple the amount of time he spends studying each night. If the data set that represents the number of minu

Kobotan [32]

Answer:

90,60,75,135,30,0,180

Step-by-step explanation:

Given : Chris has decided to triple the amount of time he spends studying each night

To Find: . If the data set that represents the number of minutes he had previously spent studying each night is 30, 20, 25, 45, 10, 0, 60, which data sets represents the number of minutes he will now spend studying.

Solution:

Previous Hours : 30,20,25, 45, 10, 0, 60

Now since she decided to triple the amount of time she spends :

So,

30*3=90

20*3=60

25*3=75

45*3=135

10*3=30

0*3=0

60*3=180

So, the new set of data is 90,60,75,135,30,0,180

3 0

3 years ago

Bacteria colonies increase by 37% every 2 days. If you start with 55 microorganisms, how large would the colony be after 10 days

ahrayia [7]

The number of microorganisms that I will have after 10 days would be: 245.41 microoganisms.

<h3>How to calculate the number of microorganisms that I will have after 10 days?</h3>

To calculate the number of microorganisms that I will have after 10 days, I must perform the following operations:

We need to find 37% of 55 as shown below:

55 ÷ 100 = 0.55
0.55 x 37% = 20.35
55 + 20.35 = 75.35

So after 2 days I will have 75.35 microorganisms.

75.35 ÷ 100 = 0.75
0.7535 x 37% = 27.87
75.35 + 27.87 = 103.22

On the fourth day I will have: 103.22 microorganisms.

103.22 ÷ 100 = 1.0322
1.0322 x 37% = 38.19
103.22 + 38.19 = 141.41

On the sixth day I will have 141.41 microorganisms.

141.41 ÷ 100 = 1.4141
1.4141 x 37% = 52.32
141.41 + 52.32 = 193,73

On the eighth day I will have 193.73 microorganisms.

193.73 ÷ 100 = 1.9373
1.9373 x 37% = 71.68
193.73 + 71.68 = 265.41

On the tenth day I will have 245.41 microoganisms.

Learn more about percentages in: brainly.com/question/13450942

#SPJ1

3 0

2 years ago

The area of a trapezoid is 69.6 in2 and its altitude is 8.7 in. Find the perimeter of the trapezoid if the sum of its legs is eq

BaLLatris [955]

1. To solve this problem, you must apply the formula for calculate the area of the trapezoid, which is:

A=(B+b)h/2

A is the area of the trapezoid (A=69.6 in²).
(B+b) is the sum of the bases of the trapezoid.
h is the height of the trapezoid (h=8.7 in).

2. When you clear the sum of the bases (B+b), you have:

A=(B+b)h/2
2A=(B+b)h
 (B+b)=2A/h
 (B+b)=2(69.6 in²)/(8.7 in)
(B+b)=16 in

3. The problem says that the sum of its legs is equal to the sum of its bases, therefore, the perimeter is:

Sum of the legs=Sum of the bases (B+b)=16 in

Perimeter=16 in+16 in
Perimeter=32 in

7 0

3 years ago

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