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3 years ago

The solution of the given linear equation 6m+7/3m+2 = 5/4 is

Mathematics

1 answer:

Akimi4 [234]3 years ago

3 0

Step-by-step explanation:

$\longmapsto \rm \dfrac{6m + 7}{3m + 2} = \dfrac{5}{4}$

By cross multiplication,

→ 4(6m + 7) = 5(3m + 2)

→ 24m + 28 = 15m + 10

→ 24m - 15m = 10 - 28

→ 9m = -18

→ m = -18 ÷ 9

→ m = -2

Value of m is -2.

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The function f(x) = 3x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 4

Degger [83]

Answer:

$0 < x < 15, 0 < f(x) < 675$

Step-by-step explanation:

The value of x associated with maximum allowable length is:

$x_{max} = \frac{90\,ft}{6}$

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3 years ago

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3 years ago

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Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

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Step-by-step explanation:

Step(i):-

Given the mean of the Population(μ) = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

S = √784 = 28

Step(ii):-

Null hypothesis: H₀: There is no sufficient evidence to support the claim that the bags are underfilled.

Alternative hypothesis: H₁:

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{412 -419}{\frac{28}{\sqrt{19} } }$

t = -1.09

|t| = |-1.09|

Degrees of freedom ν = n-1 = 19-1 =18

t₀.₀₂₅ = 3.19

Final answer:-

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

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4 years ago

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