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Varvara68 [4.7K]

3 years ago

11

One number is 3 more than 2 times the other, and their sum is 27. Find the numbers. If x represents the smaller number, then the

larger number is

1 answer:

Sladkaya [172]3 years ago

7 0

I have an answer in mind, but i'm not 100% sure. I re-read the question, and I got 2x+3.

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The area of a square piece of land is 784metersquared .What is the perimeter

Marta_Voda [28]

Answer:

112 m

Step-by-step explanation:

The area (A) of a square is

A = s² ( s is the length of side )

Here A = 784 , then

s² = 784 ( take the square root of both sides )

s = $\sqrt{784}$ = 28

Then

perimeter = 4s = 4 × 28 = 112 m

7 0

2 years ago

Read 2 more answers

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

Draw a quick picture to show the number 68 In two ways

enot [183]

You can draw two quarters, a dime, a nickel, and three pennies. Or 6 dimes and 8 pennies.

7 0

3 years ago

The given line passes through the points (0, −3) and (2, 3).

Zolol [24]

Y+2=(x+2) z+3=(y+3) a+4=(z+4)

6 0

3 years ago

Solve the following system of equations using substitution <br> x = 4 <br> 2x + 4y = 36

DiKsa [7]

Just plug in 4 for the x

2*4 +4y =36
8+4y =36
4y =36-8
4y=28
y= 28/4
y=7

7 0

2 years ago

Read 2 more answers