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3 years ago

Sixty-three less than 15 times a number is 72. what is the number?

Mathematics

2 answers:

exis [7]3 years ago

7 0

Answer:

-3/5

Step-by-step explanation:

First represent this with numbers. Less means subtraction -, times means multiplication *, is means equals =.

And let's represent "a number" with x.

63 - 15x = 72

Solve for x. First subtract 63 from both sides.

-15x = 72-63

-15x = 9

x = -9/15 = -3/5

777dan777 [17]3 years ago

5 0

Answer:

-3/5

Step-by-step explanation:

The equation would be represented as 63 - 15 x X = 72

To further simplify the problem : 63 - 15x = 72

Then you subtract

- 15x = 9

- 3/5

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3 years ago

WILL GIVE BRAINLIEST! Find x given y = 76° in the figure below. x = °

4vir4ik [10]

Answer:

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Step-by-step explanation:

The straight line for $q$ forms an angle of 180°

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3 years ago

Read 2 more answers

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

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

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3 years ago

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stealth61 [152]

Answer:

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Step-by-step explanation:

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3 years ago

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Last Wednesday, a random sample of 24 students were surveyed to find how long it takes to walk from the Fretwell Building to the

Ray Of Light [21]

Answer:

Step-by-step explanation:

Solution:-

- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.

- The survey team took a sample of size n = 24 students and obtained the following results:

Sample mean ( x^ ) = 12.3 mins

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- The sample taken was random and independent. We can assume normality of the sample.

- First we compute the critical value for the statistics.

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Compute: z-critical = z_0.025 = +/- 1.96

- The confidence interval for the population mean ( u ) of walking times is given below:

[ x^ - z-critical*s / √n , x^ + z-critical*s / √n ]

Answer: [ 12.3 - 1.96*3.2 / √24 , 12.3 + 1.96*3.2 / √24 ]

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3 years ago