Which of the following is an inequality sentence?

Mathematics

2 answers:

marusya05 [52]3 years ago

6 0

Step-by-step explanation:

C.x<5 is an inequality sentence.

ziro4ka [17]3 years ago

3 0

Answer:

$C. x$

Step-by-step explanation:

Option A $[x+5=20]$ tells us that: When we add 5 to a variable x, we get 20. As it has a unique value for x and is completely equal to it(i.e. 15), It is an equality.

Option B $[x=5]$ tells us that: A variable x equals to 5. Hence, as x is unique for 5 and is wholly equal to it, it's an equality too.
Option C $[x$ tells us that: A variable x isn't 5 but lesser than it. As we cannot equate it to 5, nor we are given the nature of the variable x, it is an Inequality.
Option D $[x+5]$ is an expression; It can't be called an equation or an inequality unless we relate it with another expression.

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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 110 engines

slava [35]

Answer:

we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7 psi

Step-by-step explanation:

Let's first define the hypothesis;

Null hypothesis: H0: μ = 4.7

Alternative hypothesis: Ha: μ ≠ 4.7

We have;

Sample size; n = 110

Sample mean; x¯ = 4.6

Variance: σ² = 0.64

Standard deviation; σ = √0.64 = 0.8

Formula for test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (4.6 - 4.7)/(0.8/√110)

z = -0.1/0.0763

z = -1.31

From online p-value from z-score calculator attached, using; z = -1.31, two tailed hypothesis, significance value of 0.1, we have;

P-value = 0.190196

The p-value is greater than the significance value and thus we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7

σ μ