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2 years ago

5x+y=2 solve the literal equation for x

Mathematics

1 answer:

Ksenya-84 [330]2 years ago

5 0

Answer:

$\sf \: x = - \frac{1}{5} y + \frac{2}{5}$

Step-by-step explanation:

5x+y=2 solve the literal{It's called linear }equation for x

5x+y=2

Step 1: Add -y to both sides.

5x+y+−y=2+−y

5x=−y+2

Step 2: Divide both sides by 5.

5x/5=−y+2/5

x=−1/5y+2/5

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Answer:

5.7 liters

Step-by-step explanation:

The sum of 2 liters, 5 deciliters of lemon juice and 3 liters, 2 deciliters of water will be given as

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Therefore, we get 5 liters, 7 deciliters of lemonade

Conversion

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3 years ago

Jeff jones is paid $60 per day at his job at J. C. Penny. Jeff became ill on Monday and had to leave after 2/5 of a day. What di

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$5 \sqrt{60}$

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3 years ago

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Manuel drove 335 miles in 5 hours. At the same rate, how many miles would he drive in 7 hours?

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Step-by-step explanation:

What you need to do is divide 335 by 5 to see how many miles are in one hour. You'll get 67. Then you can multiply 67 by 7 to get an answer of 469.

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4 years ago

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City health officials will conduct a two-sample t-test for a difference in means to investigate whether

Anvisha [2.4K]

Answer:

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that the first sample size 'n₁' = 22

Given that the mean of the first sample x₁⁻ = 120

Given that the standard deviation of the sample (s₁) = 20

Given that the mean of the second sample x₂⁻ = 100

Given that the standard deviation of the second sample (S₂) = 30

Step(ii):-

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

where

$S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2} S_{2} ^{2} }{n_{1} +n_{2}-2 }$

$S^{2} = \frac{22( 20)^{2}+ 15(30) ^{2} }{22 +15-2 }$

S² = 637.1428

S = √637.1428 = 25.24168

The standard deviation of the sample 'S' = 25.24168

Step(iii):-

Null Hypothesis:H₀:

There is no difference between the means

Alternative Hypothesis:H₁:

There is a difference between the means

T-test statistic

$t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$t = \frac{ 120 -100 }{\sqrt{637.14 (\frac{1}{22 }+\frac{1}{15 } ) } }$

t = 2.366

Degrees of freedom

γ = n₁+n₂ -2 = 22+15-2 = 35

t₀.₀₅ = 2.0301

The calculated value t = 2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

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3 years ago

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