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castortr0y [4]
2 years ago
7

Select two ratios that are equivalent to 6:106:106, colon, 10. Choose 2 answers: Choose 2 answers: (Choice A) A 20:1220:1220, co

lon, 12 (Choice B) B 32:5032:5032, colon, 50 (Choice C) C 3:53:53, colon, 5 (Choice D) D 24:4024:4024, colon, 40 (Choice E) E 14:8014:80
Mathematics
1 answer:
Eva8 [605]2 years ago
5 0

Answer:

C. 3 : 5

D. 24 : 40

Step-by-step explanation:

Select two ratios equivalent to 6 : 10

Checking all options

A. 20 : 12

20 / 12

= 10 /6

= 10 : 6

B. 32 : 50

= 32 / 50

= 16 / 25

C. 3 : 5

3 / 5

= 6 / 10

3/5 is equivalent to 6 / 10

D. 24 : 40

24 / 40 = 12 / 20

= 6 / 10

= 6 : 10

Options C and D are correct

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A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%. Create a function
vitfil [10]

Answer:

V(t) = 25000 * (0.815)^t

The depreciation from year 3 to year 4 was $2503.71

Step-by-step explanation:

We can model V(t) as an exponencial function:

V(t) = Vo * (1+r)^t

Where Vo is the inicial value of the car, r is the depreciation rate and t is the amount of years.

We have that Vo = 25000, r = -18.5% = -0.185, so:

V(t) = 25000 * (1-0.185)^t

V(t) = 25000 * (0.815)^t

In year 3, we have:

V(3) = 25000 * (0.815)^3 = 13533.58

In year 4, we have:

V(4) = 25000 * (0.815)^4 = 11029.87

The depreciation from year 3 to year 4 was:

V(3) - V(4) = 13533.58 - 11029.87 = $2503.71

7 0
2 years ago
The quality control team of a company checked 800 digital cameras for defects. The team found that 20 cameras had lens defects,
dmitriy555 [2]

Answer:

0.025

Step-by-step explanation:

-This is a conditional probability problem.

-Let L denote lens defect and C charging defect.

#We first calculate the probability of a camera having a lens defect;

P(lens)=\frac{Lens}{Total}\\\\=\frac{20}{800}\\\\=0.025

#Calculate the probability of a camera having a charging defect:

P(Charging)=\frac{Charging}{Total}\\\\=\frac{25}{800}\\\\=0.03125

The  the probability that a camera has a lens defect given that it has a charging defect is calculated as:

P(L|C)=\frac{P(C)P(L)}{P(C)}\\\\=\frac{0.025\times 0.03125}{0.03125}\\\\=0.025

Hence,  the probability that a camera has a lens defect given that it has a charging defect is 0.025

6 0
2 years ago
A vehicle with a particular defect in its emission control system is taken to a succession of randomly selected mechanics until
IrinaK [193]

Answer:

the mle of P=0.833

Step-by-step explanation:

X=incorrect answer

And probability of success to be denoted as P

Here X posses a binomial distribution along with 'r' and 'p'parameter

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

3 0
2 years ago
The country of Sylvania has decided to reduce the number of its illiterate citizens by \dfrac35
Alex73 [517]

Answer:

<u>P(t) = 9,000 - 5,400t</u>

Correct statement and question:

The country of Sylvania has decided to reduce the number of its illiterate citizens by 3/5 each year. This year there are 9000 illiterate people in the country. Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Reduction rate in the number of illiterate people in Sylvania annually = 3/5

Number of illiterate people in Sylvania this year = 9,000

2. Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today.

P(t) = Number of illiterate people in Sylvania this year - (Number of illiterate people in Sylvania this year * Reduction rate in the number of illiterate people in Sylvania annually)

Replacing with the values and variables provided, we have:

P(t) = 9,000 - (9,000 * 3/5t)

<u>P(t) = 9,000 - 5,400t</u>

Now we can calculate P(1), this way:

P(1) = 9,000 - 5,400 * 1

P(1) = 3,600

And we can calculate when there won't be illiterate people in Sylvania, as follows:

P(t) = 9,000 - 5,400t

9,000 - 5,400t = 0

-5,400t = -9,000

t = -9,000/-5,400

t = 1.67 years

t = 1 year and 8 months (0.67 * 12 = 8)

4 0
2 years ago
Read 2 more answers
Find the perimeter of $\triangle CDE$ . Round your answer to the nearest hundredth. A trapezoid A B C D is plotted on a coordina
guapka [62]

Answer:

The answer is below

Step-by-step explanation:

We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:

Perimeter of tiangle CDE = |CD| + |DE| + |CE|

Given that C(4, -1), D(4, -5), E(2, -3).

The distance between two points X(x_1,y_1)\ and\ Y(x_2,y_2) is given as:

|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Therefore the lengths of the triangle are:

|CD|=\sqrt{(4-4)^2+(-5-(-1))^2} =4\ units\\\\|DE|=\sqrt{(2-4)^2+(-3-(-5))^2} =2.83\ units\\\\|CE|=\sqrt{(2-4)^2+(-3-(-1))^2} =2.83\ units

Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units

8 0
2 years ago
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