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Oliga [24]
3 years ago
7

The show has a large display board where visitors are encouraged to pin up their own instant camera pictures, taken during the e

vent. The board is shown below.
How many 6 cm by 6 cm pictures could fit on the wall?

Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

<h2>1,800 pictures</h2>

Step-by-step explanation:

Find the diagram attached below with its dimension.

The board is rectangular in nature with dimension of 3.6 m by 1.8 m wall.

Area of a rectangle = Length * Breadth

Area of the board = 3.6 m * 1.8 m

since 1m -= 100cm

Area of the board = 360cm * 180cm

Area of the board = 64,800cm²

If the dimension of a picture on the wall is 6cm * 6cm, the area of one picture fir on the wall = 6cm* 6cm = 36cm²

In order to know the amount of 6cm* 6cm pictures that will fit on the wall, we will divide the area of the board by the area of one picture as shown;

Number of 6cm by 6cm pictures that  could fit on the wall

= 64, 800cm²/36cm²

= 1,800 pictures

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3 years ago
In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were o
ad-work [718]

The question is incomplete. Here is the complete qeustion.

In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained: 0.10 0.13 0.16 0.15 0.14 0.008 0.15

(a) Construct a 99% confidence interval for the mean nitrogen-oxide emissions of all cars.

(b) If the EPA requires that nitrogen-oxide emissions be less than 0.165 g/mi, based on the 99% confidence interval in (a), can we safely conclude that this requirement is being met?

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(b) No

Step-by-step explanation:

(a) To determine the confidence interval, first calculate the mean (X) and standard deviation (s) of the sample

X = \frac{0.1+0.13+0.16+0.15+0.14+0.08+0.15}{7}

X = 0.13

s = \sqrt{\frac{(0.1-0.13)^{2} + (0.13 - 0.13)^{2} + ... + (0.15 - 0.13)^{2}}{7-1} }

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The degrees of freedom is

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And since the confidence is of 99%:

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E = t_{6,0.005} . \frac{s}{\sqrt{N} }

E = 3.707. \frac{0.029}{\sqrt{7} }

E = 0.041

The interval will be:  

0.13 - 0.041 ≤ μ ≤ 0.13+0.041

0.089 ≤ μ ≤ 0.171

(b) No, because according to the interval, the nitrode-oxide emissions range from 0.089 to 0.171, which is greater than required by EPA.

7 0
3 years ago
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Answer:

the runners unit rate is:

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5 0
3 years ago
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Answer:

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