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4 years ago

How is solving an inequality similar to solving an equation?

Mathematics

1 answer:

LenaWriter [7]4 years ago

5 0

I think they are similar because they are both solving for a certain number (sum, product quotient)

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An experiment was performed to compare the abrasive wear of two different laminated materials. Twelve pieces of material 1 were

vladimir1956 [14]

Answer:

The calculated value Z= 4.8389> 1.96 at 0.05 level of significance.

The null hypothesis is rejected.

There is significance difference between that the abrasive wear of material 1 not exceeds that of material 2 by more than 2 units

Step-by-step explanation:

Step:-(1)

Given data the samples of material 1 gave an average (coded) wear of 85 units with a sample standard deviation of 4

Mean of the first sample x₁⁻ =85

standard deviation of the first sample S₁ = 4

Given data the samples of material 2 gave an average of 81 and a sample standard deviation of 5.

Mean of the first sample x₂⁻ =81

standard deviation of the first sample S₂ = 5

Step :-2

Null hypothesis: H₀: there is no significance difference between that the abrasive wear of material 1 exceeds that of material 2 by more than 2 units

Alternative hypothesis :H₁: there is significance difference between that the abrasive wear of material 1 exceeds that of material 2 by more than 2 units

Assume the populations to be approximately normal with equal variances.σ₁² =σ₂²

The test statistic

$Z= \frac{x_{1} -x_{2} }{\sqrt{\frac{S^2_{1} }{n_{1} } +\frac{S^2_{2} }{n_{2} } } }$

Given n₁=n₂=60.

$Z= \frac{85-81 }{\sqrt{\frac{(4)^2 }{60 } +\frac{5^2 }{60} } }$

On calculation, we get

Z = $\frac{4}{\sqrt{0.6833} }$

z = 4.8389

The tabulated value Z =1.96 at 0.05 level of significance.

The calculated value Z= 4.8389> 1.96 at 0.05 level of significance.

The null hypothesis is rejected.

Conclusion:-

there is significance difference between that the abrasive wear of material 1 not exceeds that of material 2 by more than 2 units.

3 0

3 years ago

Johnny and sally bought 4 pounds of mulch and two pounds if seedfor the garden.how many ounces of these products did they purcha

iren2701 [21]

64 ounces of mulch and 32 ounces of seedfor. There are 16 ounces in a pound, so you multiply the number of pounds by 16.

8 0

3 years ago

Evaluate: 8*2 + 3*5 - 10 + 4^{2}

NikAS [45]

The answer would be 37 I hope this helped

6 0

3 years ago

A negative times a positive will equal

Troyanec [42]

Answer:

A negative number times a positive number equals a negative number. When you multiply a negative number to a positive number, your answer is a negative number. It doesn't matter which order the positive and negative numbers are in that you are multiplying, the answer is always a negative number.

Hope this help

Have a nice day

8 0

3 years ago

Read 2 more answers

Neela is paid every two weeks. Her take-home pay is $532.82. What is her weekly pay?

Kaylis [27]

Answer:

266.41

Step-by-step explanation:

532.82 divided by 2

6 0

3 years ago