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Liula [17]
3 years ago
12

The figure below shows a shaded rectangle inside a large rectangle: A rectangle of length 10 units and width 5 units is shown. I

nside this rectangle is another rectangle of length 9 units and width 3 units placed symmetrically inside the larger rectangle. The smaller rectangle is shaded gray. If you choose a point inside the large rectangle, what is the probability that it is not inside the shaded rectangle?
Mathematics
2 answers:
MissTica3 years ago
8 0

Answer: \dfrac{7}{10}

Step-by-step explanation:

Given : The length of larger rectangle = 10 units

The width of larger rectangle = 5 units

The area of the larger rectangle will be :-

A=5\times10=50\text{ units}^2

The length of smaller rectangle = 9 units

The width of the smaller rectangle = 3 units

The area of the smaller rectangle will be :-

A=3\times9=27\text{ units}^2

Now, the probability that it is inside the shaded rectangle :-

\dfrac{27}{90}=\dfrac{3}{10}

Then , the probability that it is not inside the shaded rectangle will be:-

1-\dfrac{3}{10}=\dfrac{7}{10}

nexus9112 [7]3 years ago
7 0
100/50 = x/27
50x=2700
x=54   (small rectangle is 54% of the large rectangle
100% - 54% =46%  (46% is not shaded)
Probability     46%   or 23/50
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A recent poll of 1500 new home buyers found that 60% hired a moving company to help them move to their new home. Find the margin
Mrac [35]

Answer:

The margin of error M.O.E = 2.5%

Step-by-step explanation:

Given that;

The sample size = 1500

The sample proportion \hat p = 0.60

Confidencce interval = 0.95

The level of significance ∝ = 1 - C.I

= 1 - 0.95

= 0.05

The critical value:

Z_{\alpha/2} = Z_{0.05/2} \\ \\  Z_{0.025} = 1.96 (From the z tables)

The margin of error is calculated by using the formula:

M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1 -\hat p)}{n}}

M.O.E = 1.96 \times \sqrt{\dfrac{\hat 0.60(1 -0.60)}{1500}}

M.O.E = 1.96 \times \sqrt{\dfrac{0.24}{1500}}

M.O.E = 1.96 \times \sqrt{1.6 \times 10^{-4}}

M.O.E = 0.02479

M.O.E ≅ 0.025

The margin of error M.O.E = 2.5%

8 0
3 years ago
what is the answer to the multiplication problem. Jhon has 20 fish if he lets 6 fish go how many fish dose Jhon have?
spayn [35]
Isn't this a subtraction problem, not a multiplication problem?

If John starts out with 20 fish and lets 6 go, he still has (20-6), or 14, fish.
6 0
3 years ago
Convert 3,200,000 to a scientific notation.
tia_tia [17]
3,200,00 converted to scientific notation is 3.2 x 106
7 0
3 years ago
Read 2 more answers
Carmen runs a video to DVD transfer business. She charges her customers $20.40 for each video transferred. Her expenses include
vovangra [49]

Answer:

A. p = $17.95n - $1,250.00

Step-by-step explanation:

Profit (p) = net revenue - expenditure

Net revenue = charge for transfer of n videos - expense for n blank DVD

charge per video transfer = $20.40

charge for n video transfer = $20.40 × n = $20.40n

expense per blank DVD = $2.45

expense for n blank DVD = $2.45 × n = $2.45n

Net revenue = $20.40n - $2.45n = $17.95n

expenditure = $1,250.00

Therefore, p = $17.95n - $1,250.00

6 0
3 years ago
The length of a rectangle is 2/5 its width and the perimeter is 280 inches, what are the length and width of the rectangle?
bogdanovich [222]
If the length is 2/5, or .40, then:

280/.40= 700

Check my answer:

.40*700= 280

The length is .40 (or 2/5) the width is 700.

I hope this helped!
6 0
3 years ago
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