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gavmur [86]
3 years ago
15

Milley wants to solve the following equations using the method of elimination:

Mathematics
1 answer:
timurjin [86]3 years ago
3 0
She should multiply y = x - 2 by -4...that way one x will be -4x and the other will be 4x   and they will cancel out when added.

answer is -4
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At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 m
Colt1911 [192]

Answer:

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 4 minutes

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

  • Almost all the data lies within three standard deviation from the mean for a normally distributed data.
  • About 68% of data lies within one standard deviation from the mean.
  • About 95% of data lies within two standard deviations of the mean.
  • About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of the customers have to wait:

\mu -3\sigma = 18-3(4) = 6\\\mu +3\sigma = 18+3(4) = 30

Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

3 0
3 years ago
If a coin is tossed 5 times, and then a standard six-sided die is rolled 4 times, and finally a group of three cards are drawn f
Step2247 [10]

Answer:  5,499,187,200

<u>Step-by-step explanation:</u>

A coin is tossed 5 times.  

There are two options (heads or tails) so the possible outcomes are: 2⁵

A six-sided die is rolled 4 times.

There are six options so the possible outcomes are: 6⁴

A group of 3 cards are drawn (without replacement).

The first outcome has 52 options, the second has 51 options, and the third has 50 options: 52 x 51 x 50

Now if we want the coin AND the die AND the cards, we have to multiply all of their possible outcomes:

     2⁵ x   6⁴  x  52 x 51 x 50

=   32 x 1296 x 132,600

=  5,499,187,200

3 0
3 years ago
Divide 25kg in the ratio 2:3:5
fgiga [73]
First, add up the parts of the ratio...
2+3+5=10
then divide the whole into individual parts...
25/10=2.5
then multiply the value of 1 part by the amount in the ratio...
2.5 x 2  =5
2.5 x 3 = 7.5
2.5 x 5 = 12.5
so the final ratio is 5kg:7.5kg:12.5kg
Hope this helps :)
7 0
3 years ago
Quadratic equations question 1 ^^
ser-zykov [4K]

bx^2+32x=4x(x-a)\\ bx^2+32x=4x^2-4ax\\\\ b=4\\\\ -4a=32\\ a=-8\\\\ \boxed{ab=-8\cdot4=-32}

7 0
3 years ago
When changing 67, 430,000 to scientific notation, how many places is the decimal point moved? ​
dmitriy555 [2]

Answer:

6.743*10^7

Step-by-step explanation:

Given data

The number is  67, 430,000

Let us count from the left the right

counting, we have 7 places to the right before the last digit 6

Hence the number of places is 7

The scientific notation is  

=6.743*10^7

3 0
3 years ago
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