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Elena L [17]
2 years ago
9

What is the probability of rolling a four then a three

Mathematics
1 answer:
spayn [35]2 years ago
6 0

Answer:

\frac{1}{36}

Step-by-step explanation:

Total possibilities when we a roll a die at a time are 6

given we should have four for first time and then three

let us assume we rolled the dice we may get 1,2,3,4,5,6(any of these) the probability to get 4 is

PROBABILITY=\frac{\textrm{FAVOURABLE CHANCES}}{\textrm{TOTAL CHANCES}}

Favourable chances=1

Total chances=6

Probability=\frac{1}{6}

the prabability to get 4 in first roll is \frac{1}{6}.

let us assume we rolled the dice for second time again we may get 1,2,3,4,5,6(any of these) the probability to get 3 is

Favourable chances=1

total chances=6

probability=\frac{1}{6}

the probability to get 3 in second roll irrespective of first one is \frac{1}{6}

the probability to get 4 in first time and then 3 is

The probability to occur both events at a time is multiplication of individual probabilities

So,

probablility to get 4 in first roll=\frac{1}{6}

probability to get 3 in second roll=\frac{1}{6}

probability to occur both at a same time is =\frac{1}{6} \times\frac{1}{6}=\frac{1}{36}

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The hypotenuse of a 30o-60o-90o triangle measures 4 square 3 inches. What is the length of the shorter leg?
Fofino [41]

<u><em>Answer:</em></u>

The shorter leg is 2\sqrt{3} inches

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

The 30°-60°-90° is a special type of right-angled triangles

<u>It has the following special side length:</u>

The length of the side opposite to the 30° is \frac{1}{2} the length of the hypotenuse

The length of the side opposite to the 60° is \frac{\sqrt{3} }{2} of the hypotenuse

<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles

<u>This means that</u> the shortest side will be the one opposite to the smallest angles

In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is 4\sqrt{3} in

<u>From the above:</u>

Shorter leg = leg opposite to 30° = \frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2} inches

Hope this helps :)

5 0
3 years ago
Consider the matrix. What is the value of |C|?
garri49 [273]

Answer:

-3

Step-by-step explanation:

6 0
3 years ago
The area of<br> this triangle<br> 'is 200 ft.<br> what does x<br> have to be?<br> 12ft
Sliva [168]

Answer:

200

Step-by-step explanation:

just add 200 around the whole thing

5 0
3 years ago
The length of one leg of a right triangle is 24 ft, and the length of the hypotenuse is 40 ft.
Mila [183]
H^2=x^2+y^2

y^2=h^2-x^2

y^2=40^2-24^2

y^2=1024

y=√1024

y=32 ft
3 0
3 years ago
Read 2 more answers
A product is introduced into the market. Suppose a product's sales quantity per month q ( t ) is a function of time t in months
Oksanka [162]

Answer:

r'(t) = 298t  -850

Step-by-step explanation:

Given

q(t) = 1000t - 150t^2

p(t) = 150t - t^2

Required

r'(t)

First, we calculate the revenue

r(t) = p(t) - q(t)

So, we have:

r(t) = 150t - t^2 - (1000t - 150t^2)

Open bracket

r(t) = 150t - t^2 - 1000t + 150t^2

Collect like terms

r(t) = 150t^2 - t^2 + 150t - 1000t

r(t) = 149t^2  -850t

Differentiate to get the revenue change with time

r'(t) = 2 * 149t  -850

r'(t) = 298t  -850

3 0
3 years ago
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