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3 years ago

6

A gym membership at Gym A costs $12 every month plus a one-time membership fee of $36, and a gym membership at Gym B costs $20 e

very month plus a one-time $20 membership fee. After about how many months will the gym memberships cost the same amount?

1 answer:

Gennadij [26K]3 years ago

7 0

Answer:

2 months

Step-by-step explanation:

y=12x+36

y=20x+20

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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

$P(Z > -1.914 ) = 0.97219$

So

$P(X >300 ) = 0.97219$

8 0

3 years ago

Find the value of 15 - 8 ÷ 2.

Mamont248 [21]

8÷2= 4

15-4= 11

First you divide 8 by 2.
The you subtract 15 minus 4 and the answer will be 11.

5 0

3 years ago

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Round and estimate 0.9% of 74

skelet666 [1.2K]

The answer is 6.7 bc .09 times 74 equals 6.66 so you round the 6 to a 7.

7 0

3 years ago

With 1 ≤ |a| < 10 and N is an integer.

Elena-2011 [213]

So a times 10^n where 1≤|a|<10 and n is an integer is what i learned

so

a.
234=
2.34 times 100=
2.34 times 10²

b.
0.000052=
5.2 times 1/100000=
5.2 times 10⁻⁵

c.
-220000=
-2.2 times 100000=
-2.2 times 10⁵

d. ok, so just count the spaces moved to the left
-18.2 times 10⁻¹⁵

6 0

3 years ago

If f ( x ) = 2x + 2 and g ( 1 ) = 3x – 1, find (f/g) (2)

schepotkina [342]

Answer:

6/5 or 1.2

Step-by-step explanation:

<u>Given functions:</u>

f (x) = 2x + 2
g (x) = 3x – 1

<u>To find:</u>

(f/g) (2)

<u>Solution</u>

(f/g)(x) = f(x)/g(x) = (2x + 2) / (3x - 1)
(f/g)(2) = (2*2 + 2) / (3*2 - 1) = 6/5 = 1.2

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3 years ago

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