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2 years ago

21m-49n factored using gcf

Mathematics

1 answer:

Over [174]2 years ago

8 0

21 and 49 GCF is 7
So then you divide 7 out of both and get 7(3m-7n)

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The Spice Girls latest single sells 40% fewer singles this week than last week. Last week it sold 120,000 singles. How many did

valentina_108 [34]

Answer:

72000

Step-by-step explanation:

Multiply 120,000 by 0.6 OR multiply 120,000 by 0.4 and subtract 120,000 by the product.

Both equal 72,000

Hope this helps my fellow mike winsowski memer

-Scorpio

8 0

2 years ago

A soup can, shaped like a cylinder, has a diameter of 3.5 inches and a height of 5 inches. Each serving of soup is 15 cubic inch

marissa [1.9K]

Answer:

The answer to your question is Cost of a serving = $0.62

Step-by-step explanation:

Data

diameter = 3.5 in

height = 5 in

each serving = 15 in³

Cost of the can = $1.99

Process

1.- Calculate the volume of the can

Volume = πr²h

-Substitution

Volume = (3.14)(3.5/2)²(5)

-Simplification

Volume = (3.14)(3.062)(5)

-Result

Volume = 48.08 in³

2.- Use proportions and cross multiplication to find the cost of a serving.

48.08 in³ ---------------- $1.99

15 in³ ---------------- x

x = (15 x 1.99)/48.08

x = 29.85/48.08

x = $0.62

7 0

2 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

2 years ago

Can someone please help me

mart [117]

Answer:

x = 25

Step-by-step explanation:

3x = 75

divide both sides by 3

x = 25

5 0

2 years ago

WHAT IS IT PLEASEEE HELP ME ASAP

zmey [24]

The answer is 64 because it goes by 2 abd it needs to find the line between the boxes

4 0

2 years ago