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3241004551 [841]
3 years ago
6

Can you solve the system of equations by elimination 2x + 3y = 16 5x - 2y = 21

Mathematics
1 answer:
pogonyaev3 years ago
5 0
The values of x and y are 5 and 2 respectively

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astra-53 [7]
It should be D, I did the math :)
5 0
3 years ago
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Help please<br>1)-2<br>2)2<br>3)-1<br>4)1​
fomenos
The slope would be -2 because the graph is going down and from the y-intercept (0-2), it is going 2 units down and 1 unit right.
3 0
3 years ago
Sally gets a cup of coffee and a muffin every day for breakfast from one of the many coffee shops in her neighborhood. She picks
aniked [119]

Answer:

<u>A. Mean of the amount Sally spends on breakfast daily = $ 3.90</u>

<u>Standard deviation of the amount Sally spends on breakfast daily = $ 0.34 (rounding to the next cent)</u>

<u>B. Mean of the amount Sally spends on breakfast weekly = $ 27.30</u>

<u>Standard deviation of the amount Sally spends on breakfast weekly = $ 0.89 (rounding to the next cent)</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Average price of a cup of coffee = $ 1.40

Standard deviation = $0.30

Average price of a muffin = $ 2.50

Standard deviation = $ 0.15

The two prices are independent of each other

2. What is the mean and standard deviation of the amount Sally spends on breakfast daily?

Let's recall that:

1. The mean of the sum of two independent variables is the sum of their means.

2. The variance of the sum of two independent variables is equal to the sum of their variances.

Therefore,

Mean of the amount Sally spends on breakfast daily = Average price of a cup of coffee + Average price of a muffin

Replacing with the values we know:

Mean of the amount Sally spends on breakfast daily = 1.40 + 2.50

Mean of the amount Sally spends on breakfast daily = $ 3.90

Variance of the amount Sally spends on breakfast daily = Variance of the price of a cup of coffee + Variance of the price of a muffin

Replacing with the values we know:

Variance of the amount Sally spends on breakfast daily = 0.30² + 0.15²

Variance of the amount Sally spends on breakfast daily = 0.1125

Standard deviation of the amount Sally spends on breakfast daily = √0.1125

Standard deviation of the amount Sally spends on breakfast daily = $ 0.34 (rounding to the next cent)

3. What is the mean and standard deviation of the amount she spends on breakfast weekly (7 days)?

Mean of the amount Sally spends on breakfast weekly = 7 * Mean of the amount Sally spends on breakfast daily

Mean of the amount Sally spends on breakfast weekly = 7 * 3.90

Mean of the amount Sally spends on breakfast weekly = $ 27.30

Variance of the amount Sally spends on breakfast weekly = 7 * Variance of the amount Sally spends on breakfast daily

Variance of the amount Sally spends on breakfast weekly = 7 * 0.1125

Variance of the amount Sally spends on breakfast weekly = 0.7875

Standard deviation of the amount Sally spends on breakfast weekly = √0.7875

Standard deviation of the amount Sally spends on breakfast weekly = $ 0.89 (rounding to the next cent)

3 0
4 years ago
The article "Sensory and Mechanical Assessment of the Quality of Frankfurters" reported the following salt content (percentage b
sergeinik [125]

Answer:

μ = 1.877

Step-by-step explanation:

Data provided in the question:

Number of data samples, n = 10

Data: 2.18, 2.03, 1.56, 1.09, 1.56 ,2.28 ,1.62 ,2.02 ,2.11 ,2.32

Now,

Mean is calculated using the formula as:

Mean, μ = \frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}

or

Mean, μ = \frac{\textup{2.18 + 2.03 + 1.56 + 1.09 + 1.56 + 2.28 + 1.62 + 2.02 + 2.11 + 2.32 }}{\textup{10}}

or

Mean , μ = \frac{18.77}{10}

or

Mean , μ = 1.877

8 0
3 years ago
A. True
DENIUS [597]
It is true. I was recently doing this in class
4 0
3 years ago
Read 2 more answers
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