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4 years ago

Solve the system of linear equations using matrices. x+6y=7 x + 5y=4

Mathematics

1 answer:

Rzqust [24]4 years ago

3 0

Answer:

1+6y= "7y=7"

1+5y= "6y=4"

Step-by-step explanation:

X represents "1" so you replace your "X" with "1" and solve the equation.

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A consumer agency is interested in examining whether there is a difference in two common sealant products used to waterproof res

Komok [63]

Answer:

$CI = (89.2 - 92.4) \pm 1.6883 \sqrt{\frac{3.1^{2} }{38} +\frac{3.8^{2} }{37} }$

Step-by-step explanation:

Data of newly constructed decks treated with very clear deck sealants:

n₁ = 38, $\bar {x_{1} } = 89.2$ , S₁ = 3.1

Data of newly constructed decks treated with sure seal deck sealants:

n₁ = 37, $\bar {x_{2} } = 92.4$ , S₂ = 3.8

First calculate the degree of freedom

$df = \frac{[\frac{s_{1} ^{2} }{n_{1} } + \frac{s_{2} ^{2} }{n_{2} } ]^{2} }{\frac{(\frac{s_{1} ^{2} }{n_{1} } )^{2}}{n_{1}-1 } + \frac{(\frac{s_{2} ^{2} }{n_{2} } )^{2}}{n_{2}-1 }}$

$df = \frac{[\frac{3.1^{2} }{38} + \frac{3.8^{2} }{37}]^2}{\frac{(\frac{3.1^{2} }{38})^{2} }{37} + \frac{(\frac{3.8^{2} }{37})^{2} }{36}}$

df = 69.4

df = 70, α = 1 - 0.9 = 0.1

$t_{\frac{\alpha}{2} } = t_{0.05 }= 1.688$

$CI = \bar{X_{1} } - \bar{X_{2} } + t_{\frac{\alpha}{2} } \sqrt{\frac{S_{1} ^{2} }{n_{1} +} \frac{S_{2} ^{2} }{n_{2} } }$

$CI = (89.2 - 92.4) \pm 1.6883 \sqrt{\frac{3.1^{2} }{38} +\frac{3.8^{2} }{37} }$

8 0

4 years ago

Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Liam bought 2 hamburgers and 4 orders of fries for $13. How much

Nina [5.8K]

The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

<h3>What is system of equation?</h3>

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,

$3x+2y=12.5$

Solve this equation as,

$2y=12.5-3x\\y=\dfrac{12.5-3x}{2}$ .....1

Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,

$2x+4y=13$

Put the value of y in this equation and solve it further,

$2x+4(\dfrac{12.5-3x}{2})=13\\2x+25-6x=13\\-4x=13-25\\-4x=12\\x=\dfrac{12}{4}\\x=3$

Put this value of x in equation 1,

$y=\dfrac{12.5-3\times3}{2}\\y=\dfrac{3.5}{2}\\y=1.75$

The cost of an order of 1 hamburger and 2 orders of fries is,

$C=3\times 1+2\times1.75\\C=3+3.5\\C=6.5$

Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

Learn more about the system of equations here;

brainly.com/question/13729904

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3 0

2 years ago

A study of pet owners included 752 owners who were chosen at random. Of these pet owners, 63% said they had spayed or neutered t

topjm [15]

Answer:

Sixty-three percent is the statistic and 39% is the parameter.

Step-by-step explanation:

6 0

3 years ago

Solve 729 s-⁵ = 3² (1-s) for S.

sweet [91]

Answer:

No real solutions.

Step-by-step explanation:

729s^-5 = 729/s^5

729/s^5 = 3^2(1-s) = 9(1-s)

729=9(1-s)(s^5)

(1-s)(s^5)=81

s^5-s^6=81

Because 81 > 0 this means s^6 must be less than s^5. This is never possible as 6 is even so is always positive and is always greater in magnitude than s^5. The only time this isnt the case is when s is a decimal less than 1, but then the difference would be also less than 1 and not 81.

5 0

3 years ago

How would you graph (3,–2)?

beks73 [17]

I would have to say c

8 0

4 years ago

Read 2 more answers