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kobusy [5.1K]
2 years ago
11

Use natural logarithms to solve the equation. Round to the nearest thousandth. 7e3x − 4 = 14

Mathematics
1 answer:
dusya [7]2 years ago
5 0

Answer:

0.315  to nearest thousandth.

Step-by-step explanation:

7e^3x − 4 = 14

7e3x  = 18

e^3x = 18/7

3x = ln(18/7)

x = ln(18/7) / 3

= 0.31482.

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2 years ago
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 404 gram setting. It
Nezavi [6.7K]

Answer:

There is no sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

We are given;

n = 27 bags

Sample mean;X = 402 gram

Population mean;μ = 404 gram

Variance = 676

We know that, standard deviation(σ) = √variance

Thus;

σ = √676

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The hypotheses are;

Null hypothesis; H0: μ = 404

Alternative hypothesis; HA: μ < 404

Let's find the z-score from the formula;

z = (X - μ)/(√σ/n)

z = (402 - 404)/√(26/27)

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From the z-distribution table attached, we have a p-value of 0.02068

This is less than the significance value of 0.01 and thus we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that the bags are underfilled

6 0
3 years ago
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sdas [7]
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5 0
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1 year ago
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Answer:

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2 years ago
Read 2 more answers
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