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2 years ago

5n + 3 > 4 - (6 – 5n)

Mathematics

1 answer:

jek_recluse [69]2 years ago

4 0

3>-2 i believe
djdjjdksksk sorry i needed more characters

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Destiny is five more than twice the age of her nephew Sam. The sum of their age is 23

ipn [44]

Answer:

Sam is 6, Destiny is 17

Step-by-step explanation:

(2xS)+5=D

D+S=23

4 0

2 years ago

Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou

RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation = 1.667

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

There are n independent trial.
Each trial have a success probability p
The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

b) P(proportion of groups will between 8 and 10 trucks pass the inspection)

We have to evaluate:

$P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961$

c) P( exactly 3 trucks fail the inspection)

p = 0.25

$P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251$

d) Mean and standard deviation

$\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667$

6 0

3 years ago

In certain county, the number of charter schools is 4 less than twice the numbervof alternative schools. We know that there are

Vitek1552 [10]

1. Let's call the number of carter school: "x" and "y" the number of alternative school. Then, you have that:

- The number of charter schools is 4 less than twice the number of alternative schools.
 - There are 48 charter schools in the country.

2. So, you have:

x=2y-4 (i)

x=48 (ii)

3. Then, when you substitute x=48 into the equation (i), you obtain:

x=2y-4
 48=2y-4

4. Now, you must clear "y, as below:

48+4=2y
2y=52
y=52/2
y=26

How many alternative schools are in the county?

The answer is: There are 26 alternative schools.

6 0

3 years ago

Consider the enlargement of the rectangle.Which proportional statements are true of the enlargement? Check all that apply

Andreyy89

Answer:

The answer is A and D. I just got the the same question on edge 2020

3 0

3 years ago

Read 2 more answers

Evaluate the expression a + b for a = 2 and b = 11

Lesechka [4]

If a+b= 2+11 then your sum will be 13.

heres an example...

If you have eleven dollars and I give you 2 more you can simply count up 2 more from 11 leaving you at 13.

you're welcome.

4 0

2 years ago