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Liono4ka [1.6K]
3 years ago
12

Find three consecutive integers such that three times The largest increased by two is equal to five times the smallest increased

by three times the middle integer
Mathematics
1 answer:
rosijanka [135]3 years ago
7 0
a,a+1,a+2-\ three\ consecutve\ integers\\\\
3*(a+2)+2=5*(a+3)+3(a+1)\\\\
3a+6+2=5a+15+3a+3\\\\
3a+8=8a+18\ \ \ | subtract\ 3a\\\\
8=5a+18\ \ \ \ | subtract\ 18\\\\
-10=5a\ \ \ \ | divide\ by\ 5\\\\
a=-2\\\\Numbers\ are:\ \ -2,-1,0

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Suppose that replacement times for washing machines are normally distributed with a mean of 9.3 years and a standard deviation o
Harlamova29_29 [7]

Answer:

The probability is 0.0643

Step-by-step explanation:

* Lets revise some definition to solve the problem

- The standard deviation of the distribution of sample means is called σM

- σM = σ/√n , where σ is the standard deviation and n is the sample size

- z-score = (M - μ)/σM, where M is the mean of the sample , μ is the mean

 of the population  

* Lets solve the problem

- The mean of the washing machine is 9.3 years

∴ μ = 9.3

- The standard deviation is 1.1 years

∴ σ = 1.1

- There are 70 washing machines randomly selected

∴ n = 70

- The mean replacement time less than 9.1 years

∴ M = 9.1

- Lets calculate z-score

∵ σM = σ/√n

∴ σM = 1.1/√70 = 0.1315

∵ z-score = (M - μ)/σM

∴ z-score = (9.1 - 9.3)/0.1315 = - 1.5209

- Use the normal distribution table of z to find P(z < -1.5209)

∴ P(z < -1.5209) = 0.06426

∵ P(M < 9.1) = P(z < -1.5209)

∴ P(M < 9.1) = 0.0643

* The probability is 0.0643

5 0
3 years ago
first one: Juan plans to mix blue paint and red paint to create purple paint. The ratio of the number of gallons of blue paint t
Alenkinab [10]

Answer:

785

Step-by-step explanation:

test answer

7 0
2 years ago
How would I solve this ?
katrin2010 [14]

Answer:

Step-by-step explanation:

7/x=tan32

x=7/ tan 32

or x=11.20

5 0
2 years ago
A rectangular field has length 80m. What is its width if the perimeter is 240m?
-BARSIC- [3]
The answer would be 40m
7 0
2 years ago
Read 2 more answers
3 - 4 x 2 The first step to evaluate the expression is ...
sveticcg [70]

To find these out you have to use the strategy of P (parenthesis) E (exponents) M (multiplication) D (division) A (addition) S (subtraction)

3 - 4 x 2 The first thing you need to do is do the multiplication part first, since subtraction is the last thing you need to do. You multiply 4 and 2 and get the answer of 8, then subtract 3 which is 5

5 x 3 - 4 The first thing you need to do is multiplication 5 x 3 which equals 15 and then do 15 - 4 = 11

15 ÷ (3 x 5) x 2 The first thing you do is you do the P (parenthesis) which is (3x5) which equals 15. Then you multiply 15 with 2 which is 30 and then divide 30 with 15 which is 2

5 + 3 x 2 ÷ 6 First you need to do the Multiplication which is 3 x 2 which equals 6, and then you do the division, which is 6 ÷ 6 which is 1. Then add 5 to the 1 which is 6.

<em>Your welcome and please give brainly :)</em>

5 0
2 years ago
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