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3 years ago

How do you solve linear equations using substitution

Mathematics

1 answer:

GuDViN [60]3 years ago

4 0

You substitute the y from the second eqaution to the y in the first equation

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The cost of 10 oranges is 1$. What is the cost of 5 dozen oranges

dmitriy555 [2]

6 dollars

10=1 dollar

5 dozen = 60

60 divided by 10 is 6

6 0

3 years ago

Read 2 more answers

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd =

swat32

Answer:

Test statistic, $t_{s} = -0.603$ (to 3 dp)

Step-by-step explanation:

Deviation, d = x -y

Sample mean for the deviation

$\bar{d} = \frac{\sum x-y}{n}$

$\bar{d} = \frac{(28-6) + (31-27)+(20-26)+(25-25)+(28-29)+(27-32)+(33-33)+(35-34)}{8} \\\bar{d} = -0.625$

Standard deviation: $SD = \sqrt{\frac{\sum d^{2} - n \bar{d}^2}{n-1} }$

$\sum d^{2} = (28-26)^2 + (31-27)^2 +(20-26)^2 +(25-25)^2 +(28-29)^2 +(27-32)^2 +(33-33)^2 +(35-34)^2\\\sum d^{2} = 63$

$SD = \sqrt{\frac{63 - 8 * (-0.625)^2}{8-1} }$

SD =2.93

Under the null hypothesis, the formula for the test statistics will be given by:

$t_{s} = \frac{ \bar{d}}{s_{d}/\sqrt{n} } \\t_{s} = \frac{- 0.625}{2.93/\sqrt{8} }$

$t_{s} = -0.6033$

6 0

3 years ago

If a company has 5 employees with annual salaries of 30000 50000 30000 80000 and 70000 respectively what is the mean annual sala

Marina86 [1]

The answer is 52,000.

You have to add all of the values and divide them by the number of values. In this case you would do 30,000 + 50,000 + 30,000 + 80,000 + 70,000 which equals 260,000 then you would divide that number by 5 since there are 5 values.

5 0

3 years ago

Given (1, -3) and (5, 1). The slope of the line is The equation of the line is

guapka [62]

To find the slope of the line we can use the following formula:

$\frac{y.2 - y.1}{x.2 - x.1} = m$

1 - (-3)/5 - 1

4 / 4

<h3>The slope of the line is equal to 1.</h3>

To find the equation, we can just use slope-intercept form.

We already know the slope, so our current equation is y = x

By knowing the slope, we can apply the slope to our lowest pair of coordinates to find the y value when x = 0.

Subtract 1 from the x and y values of (1, -3)

(0, -4) is our new point, and so we know the y-intercept is -4.

<h3>Our equation for the line is y = x - 4</h3>

4 0

3 years ago

the school cafeteria has 283 cartons of juice in stock. each day a total of 60 cartons are sold. what equation is a function rul

Temka [501]

Your equation would be 60x=283
the 60 would equal the number of cartons that our sold each day.The x would equal the unknown number of days and it would all equal 283 cartons because that is the number of cartons that where sold all together

4 0

3 years ago