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Llana [10]
3 years ago
11

A student solves a problem correctly 40 times out of 72 tries. Based on this data, what is the probability that the student inco

rrectly solves the next problem? Enter your answer in the box as a percent rounded to the nearest whole number.
Mathematics
1 answer:
suter [353]3 years ago
4 0

Answer:

The probability of the student incorrectly solves the next problem is 44%.

Step-by-step explanation:

Let E be the event of solving a problem correctly.

Then E' is the event that the problem is solved incorrectly.

Now, recall the definition of probability.

probability of an event = \frac{number of favorable events}{total number of events}

So,

p(E) = \frac{40}{72}

Also,

p(E) + p(E') = 1 and

p(E') = 1 - p(E)

= 1 - \frac{40}{72}

= \frac{72-40}{72}

= \frac{32}{72}

= \frac{4}{9}

= \frac{4}{9} (100)

= 44% rounded.

Hence, the probability of the student incorrectly solves the next problem is 44%.


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2 years ago
Solve 3(x + 2) > x.​
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Answer:

x > - 3

Step-by-step explanation:

Given

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Baytown Village Stone Creations is making a custom stone bench. the recommended height for the bench is 18 in. the depth of the
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Answer:

x = tex]5\frac{\textup{7}}{\textup{8}}\ in[/tex]

Step-by-step explanation:

Given:

Total height of the bench = 18 in

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measure of another stone =  5\frac{\textup{1}}{\textup{4}}\ in = \frac{\textup{21}}{\textup{4}}\ in  = 5.25 in

let the height of the third stone be 'x'

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6 0
3 years ago
In triangle ABC, angle = 90 degrees. AC = 7, BC = 12. AB = _______ Measure of angle A = _______ Measure of angle B = _______
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Answer:

AB = 13.89

Measure of angle A = 59.74°

Measure of angle B = 30.26°

Step-by-step explanation:

The given parameters are;

∠C = 90°

AC = 7

BC = 12

Part 1

Hence, the question has the dimensions of the two adjacent sides of the right angle (angle 90°)

From Pythagoras theorem, we have;

A² = B² + C²

Where, A is the opposite side to the right angle, hence;

In the ΔABC,

AB ≡ A

Therefore;

AB² = AC² + BC² = 7² + 12² = 193

∴ AB = √193 = 13.89

Part 2

∠A is the side opposite side BC such that by trigonometric ratios

tan \angle A = \frac{Opposite \, side \,  to \,  angle \,  A}{Adjacent  \,  side  \, to  \, angle \,  A}  = \frac{BC}{AC} = \frac{12}{7} = 1.714

∴ ∠A = Arctan(1.714) or tan⁻¹(1.714) = 59.74°

Part 3

∠B is found from knowing that the sum of the angles in a triangle = 180°

∴ ∠A + ∠B + ∠C = 180° which gives

59.74° + 90° + ∠B = 180°

Hence, ∠B = 180° - (59.74° + 90°) = 180° - 149.74° = 30.26°.

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3 years ago
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