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Contact [7]
2 years ago
15

Dave is driving to Gilmore to visit his friend. If he wants to stop for lunch when he is about halfway there, in which town shou

ld he plan to stop?

Mathematics
2 answers:
Lapatulllka [165]2 years ago
5 0

Answer:

He should plan to stop in Springfield.

Step-by-step explanation:

Gilmore is 26 miles away half of that is 13

the closest town to 13 miles is Springfield

Amanda [17]2 years ago
5 0

Answer:

Dave should stop at Springfield.

Step-by-step explanation:

As shown, Gilmore is 26 miles away.

And Dave is driving to Gilmore but he wants to stop for lunch when he is about halfway there.

That means he wants to stop around \frac{26}{2}=13 miles.

And Springfield is 15 miles away that is nearest to 13 miles.

Hence, Dave should stop at Springfield.

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If FC IS RS 4430 and the BEP in unitsis 89, then contribution margin is ?
Umnica [9.8K]

Answer: RS 49.8

Step-by-step explanation:

Given the following :

Fixed cost = RS 4430

Break even point = 89 units

Recall:

Break even point in units = Fixed cost ÷ contribution margin

Therefore,

Contribution margin equals;

(Fixed cost ÷ break even point in units)

= 4430 / 89

= 49.775280

= RS 49.8

5 0
2 years ago
Talia is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of
yan [13]

Answer:

Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Step-by-step explanation:

In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:

Area of poster = 4 square feet

Area of poster =  (Length)²

4 = (Length)²

∴ Length = √(4)

Length of poster = 2 Ft

Volume of box = 14 cubic feet

Volume of box = (Length)³

14 = (Length)³

∴ Length = ∛(14)

Length = 2.41 Ft

∴ Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

3 0
2 years ago
The quality control manager at a light bulb factory needs to estimate the mean life of a batch (population) of light bulbs. We a
Nadusha1986 [10]

Answer:

<em>a)95%  confidence intervals for the population mean of light bulbs in this batch</em>

(325.5 ,374.5)

b)

<em>The calculated value Z = 4 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The manufacturer has not right to take the average life of the light bulbs is 400 hours.</em>

Step-by-step explanation:

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

The tabulated value Z₀.₉₅ = 1.96

<em>95%  confidence intervals for the population mean of light bulbs in this batch</em>

<em></em>(x^{-} - Z_{\frac{\alpha }{2} } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\frac{\alpha }{2} }\frac{S.D}{\sqrt{n} } )<em></em>

<em></em>(350 - 1.96\frac{100}{\sqrt{64} } , 350 + 1.96\frac{100}{\sqrt{64} } )<em></em>

(350 -24.5, 350 +24.5)

(325.5 ,374.5)

b)

<u><em>Explanation</em></u>:-

Given mean of the Population μ = 400

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

<u><em>Null hypothesis</em></u> : H₀:The manufacturer has right to take the average life of the light bulbs is 400 hours.

μ = 400

<u><em>Alternative Hypothesis: H₁:</em></u> μ ≠400

<u><em>The test statistic </em></u>

Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

Z = \frac{350 -400}{\frac{100}{\sqrt{64} } }

|Z| = |-4|

The tabulated value   Z₀.₉₅ = 1.96

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected.

<u><em>Conclusion:</em></u>-

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

5 0
2 years ago
Which values represent the independent variable?
Sergeu [11.5K]

Answer:

C

Step-by-step explanation:

Traditionally, the y-value is the independent variable, while the x-value is the dependent variable.

5 0
2 years ago
the x-values in the table for f(x) were multiplied by -1 to create the table for g(x) what isbthe relationship between the graph
denpristay [2]

Answer: g(x) is the image of f(x)


Step-by-step explanation:

multiplying the x value by -1 means you reflect that point across y-axis, therefore, g(x) is the reflection of f(x) across y-axis.

4 0
2 years ago
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