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KengaRu [80]
3 years ago
6

Please can anyone help me on this question information below.

Mathematics
1 answer:
Delvig [45]3 years ago
5 0

Answer:

a) 0.11

b) 60

Step-by-step explanation:

Total frequency:

12+35+11+23+7+12 = 100

P(3) = 11/100 = 0.11

P(6) = 12/100 = 0.12

Expected no. of sixes:

500 × 0.12 = 60

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If the sales-tax rate is 7.5%, what is the sales tax on a $48.00 purchase?
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The tax is 3.60, the total is 51.60


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Right triangle EFG and right triangle EHG overlap as shown below. Angle HEG measures 35° and angle FGE measures 30°.
lesantik [10]

Given:

Triangle EFG and EHG are two right triangles.

m\angle HEG=35^\circ

m\angle FGE=30^\circ

To find:

The values of x and y.

Solution:

In triangle EFG,

m\angle EFG+m\angle FGE+m\angle FEG=180^\circ        [Angle sum property]

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x+155=180

x=180-155

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In triangle EHG,

m\angle EHG+m\angle HEG+m\angle EGH=180^\circ        [Angle sum property]

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Therefore, the value of x is 25 and the value of y is also 25.

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3 years ago
Four subtracted from 9​
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I believe that the answer is -5
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Suppose a railroad rail is 6 kilometers and it expands on a hot day by 10 centimeters in length. Approximately how many meters w
Anvisha [2.4K]
<span>Given that the railroad rail is 6 kilometers before expansion.

When the railroad expands, it makes an isosceles triangle at the center of the rail.

The base of the triangle is 6 kilometers while each leg of the triangle is given by (6 + 10/100,000) / 2 = 6.0001 / 2 = 3.00005 kilometers.
[recall that 100,000 centimeters gives 1 kilometers, thus 10 centimetres gives 10/100,000 kilometers]

Taking one half of the isoceles triangle, we have a right triangle with one of the leg as 6 / 2 = 3 kilometers and the hypothenus = 3.00005 kilometers.

Thus, using the Pythagoras theorem, we find the other leg (height) of the right triangle as follows.

Let the other leg of the right triangle be h, then
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Thus, the center of the rail will rise 0.01732058 kilometers above the ground.

But, there are 1,000 meters in 1 kilometers, therefore, </span><span><span>the center of the rail will rise 0.01732058 x 1,000 = 17.32 meters above the ground.</span></span>
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