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3 years ago

A number is 11 less than 3 times another number. The sum of the numbers

Mathematics

2 answers:

Mila [183]3 years ago

8 0

Step-by-step explanation:

this is simple use it and enjoy

igor_vitrenko [27]3 years ago

8 0

Step-by-step explanation:

Let x be the first number

Let y be the 2nd number

given,

$x = 3y - 11 \\ x - 3y = - 11$

as equation 1

and

$x + y = 25$

as equation 2.

Now we will use elimination method to solve for simultaneous equations.

We will use equation 1 - equation 2 to eliminate x to solve for y.

$x - x - 3y - y = - 11 - 25 \\ - 4y = - 36 \\ y = - 36 \div - 4 \\ = 9$

Substitute y into equation 2.

$x + 9 = 25 \\ x = 25 - 9 \\ = 16$

The numbers are 9 and 16.

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A parking lot has seventy-eight parking spaces numbered from 1 to 78. There are no cars in the parking lot when Jillian pulls in

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Answer:

49/78

Step-by-step explanation:

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3 years ago

The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal with a mean of 16.12 OZ and a

elena-14-01-66 [18.8K]

Answer: 90.82%

Step-by-step explanation:

Given : The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal .

Mean : $\mu=16.12\text{ OZ}$

Standard deviation: $\sigma=0.09\text{ OZ}$

Let X be the random variable that represents the amount of soda in bottles.

Formula for z-score : $z=\dfrac{x-\mu}{\sigma}$

Z-score for 16 oz: $z=\dfrac{16-16.12}{0.09}=-1.33$

Using the standard normal z-distribution table , the probability that the soda bottles that contain more than the 16 OZ is given by :_

$P(x>60)=P(z>-1.33)=1-P(x\leq-1.33)=1-0.0917591=0.9082409\approx0.9082\approx90.82\%$

Hence, the percentage of the soda bottles that contain more than the 16 OZ advertised is 90.82% .

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4 years ago