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3 years ago

Twenty seven decreased by three times a number is the same as 7 times the sum of the number plus 1. What is the number?

Mathematics

1 answer:

Anika [276]3 years ago

6 0

Answer:

2.6

Step-by-step explanation:

Let the number be x

27-3x= 7x+1

26=10x

x=2.6

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Factor: m^2 - 20m - 21

Anton [14]

Answer: (m-21)(m+1)

Step-by-step explanation:

To factor this trinomial, find two numbers that multiply to -21 and add to -20:

(-21)(1)=-21

-21+1=-20

They are -21 and 1.

Add -21 and 1 to m to get both factors:

(m+(-21)) and (m+1)

(m-21) and (m+1)

Multiply them to get the answer:

(m-21)(m+1)

4 0

3 years ago

An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha

TEA [102]

Answer:

The probability is $P(X >300 ) = 0.97219$

Step-by-step explanation:

From the question we are told that

The capacity of an Airliner is k = 300 passengers

The sample size n = 320 passengers

The probability the a randomly selected passenger shows up on to the airport

$p = 0.96$

Generally the mean is mathematically represented as

$\mu = n* p$

=> $\mu = 320 * 0.96$

=> $\mu = 307.2$

Generally the standard deviation is

$\sigma = \sqrt{n * p * (1 -p ) }$

=> $\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }$

=> $\sigma =3.50$

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

$P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )$

Here $\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )$

=> $P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )$

Now applying continuity correction we have

$P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > -1.914 )$

From the z-table

$P(Z > -1.914 ) = 0.97219$

$P(X >300 ) = 0.97219$

8 0

3 years ago

What is the value of the interquartile range of the data below?

Scilla [17]

Answer:

Step-by-step explanation:

a box - and - whisker plot. The number line goes from 0 - 52.

7 0

3 years ago

Read 2 more answers

ANSWER ALL THE QUESTIONS IN THIS WORKBOOK.

777dan777 [17]

Answer:

i. 15, 18, 20, 20, 25

ii.

a) 19.6

b) 20

c) 20

d) 10

Step-by-step explanation:

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3 years ago

What is equivalent to (b+6)3?

arlik [135]

3(b+6) = 3*b + 3*6 = 3b + 18

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3 years ago