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2 years ago

Write the ratio as a fraction in simplest form: 7/4 inches to 3/4 inch

Mathematics

1 answer:

Nikitich [7]2 years ago

3 0

Answer:

7/3

Step-by-step explanation:

It would be 7/4 divided by 3/4 which would just be 7/4 multiplied by 4/3. This is 28/12. Simplify:7/3

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Kendall is making greeting cards, which she will sell by the box at an arts fair. She paid $40

natta225 [31]

Answer:

Step-by-step explanation:

40 dollars due up front

10 dollars made per sale

5 dollars lost per creation

Realistically speaking she is only making a $5 profit per box she sells;

$5 used up for material cost, $10 made from sales -5+10= 5

To pay the $40 dollar for the booth she would need to make 9 sales with her current profit

40/5 = 9

5 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

Find positive integers that satisfy

tankabanditka [31]

9514 1404 393

Answer:

(x, y, z) = (1, 2, 3)

Step-by-step explanation:

The equations that result from reduction to row-echelon form are ...

x = 0.4 +0.2t

y = 5.6 -1.2t

z = t

Then t must have a value 5n+3 for 0 ≤ n < 1. That is, t=3.

x = 0.4 +0.2(3) = 1

y = 5.6 -1.2(3) = 2

z = 3

The integers that satisfy are (x, y, z) = (1, 2, 3).

4 0

3 years ago

Read 2 more answers

There are 14 boys and 9 girls in miss Keller’s music class what is the ratio of boys to girls ? And what is the ratio of girls t

11111nata11111 [884]

Answer:

Step-by-step explanation:

if there are 14 boys to 9 girls in a class the ratio would be

14:9

6 0

3 years ago

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What is the next term of the geometric sequence? 375,75,15

Damm [24]

Answer:

Step-by-step explanation:

ΔΔπФ⇵β³Δ⊄⊇≡⊕⊕π⇆ω∩∨

3 0

3 years ago

Read 2 more answers