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e-lub [12.9K]
3 years ago
12

A safety regulation state that the minimum height of a handrail is 30 inches. The maximum height is 38 inches. Write an absolute

value equation that represents the minimum and maximum height
Mathematics
1 answer:
abruzzese [7]3 years ago
4 0

Answer:

|x - 34| = 4

Step-by-step explanation:

Minimum height of handrail stated by the safety regulation = 30 inches

Maximum height of handrail stated by the safety regulation = 38 inches

Mean of these heights = \frac{38+30}{2}=34

If a handrail having height = x

Then the difference between height of the handrail and mean height = (x - 34)

This difference should be equal to 4.

Algebraic representation for a height "x inches" will be

|x - 34| = 4

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4 years ago
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Ostrovityanka [42]

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4 0
3 years ago
An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating. An independent testing firm has been contra
d1i1m1o1n [39]

Answer:

<em>The calculated value z = 1.3145 < 2.326 at  0.02 level of significance</em>

<em>The null hypothesis is accepted </em>

<em>Hence An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.</em>

Step-by-step explanation:

<em><u>Step(i)</u></em>:-

An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.

<em>The mean of the Population 'μ' = 28.0miles/gallon</em>

Given data after testing 270 cars, they found a mean MPG of 27.8. Assume the variance is known to be 6.25.

<em>The sample size 'n' = 270 </em>

<em>Mean of the sample 'x⁻' = 27.8</em>

<em>Given Population variance 'σ² = 6.25</em>

<em>The standard deviation of Population 'σ' = √6.25 = 2.5</em>

<u><em>Step(ii):-</em></u>

<em>Null hypothesis :H₀: 'μ' = 28.</em>

<em>Alternative hypothesis :H₁: 'μ' ≠28.</em>

<em>The test statistic </em>

<em></em>Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }<em></em>

<em></em>Z = \frac{27.8-28 }{\frac{2.5}{\sqrt{270} } } = \frac{-0.2}{0.15214}<em></em>

<em>Z = -1.3145</em>

|Z| = |<em>-1.3145|= 1.3145</em>

<u><em>Step(iii)</em></u><em>:-</em>

<em>The tabulated value  of z-score at 0.02 level of significance = 2.326</em>

The calculated value z = 1.3145 < 2.326 at a t 0.02 level of significance

<em>The null hypothesis is accepted </em>

<em>Hence An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.</em>

<em></em>

<em></em>

8 0
4 years ago
If f(x)=2x^2-x-6 and g(x)=x^2-4, find f(x)/g(x)<br> 2x+3/x-2<br> 2x-3/x+2<br> 2x+3/x+2<br> 2x-3/x-2
andrew11 [14]
I hope this helps you

6 0
3 years ago
Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inc
lbvjy [14]

I'm pretty sure it's:

A right rectangular prism with length 15 inches, width of 8 inches, and height of 6 inches.

A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches

A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches

Just visualize the rectangle

8 0
3 years ago
Read 2 more answers
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