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Alexeev081 [22]
3 years ago
14

single die is rolled twice. Find the probability of rolling an oddodd number the first time and a number greater than 33 the sec

ond time.
Mathematics
1 answer:
givi [52]3 years ago
6 0

Answer:

\frac{1}{4}

Step-by-step explanation:

A single die is rolled twice, we have to find the probability of rolling an odd number in first throw and a number greater than 3 in the second throw.

a) Rolling an Odd number in first throw

A die has total 6 possible outcomes, out of which 3 are odd numbers i.e. 1,3 and 5

So, total number of possible outcomes = 6

Total Favorable outcomes (Odd numbers) = 3

Probability is defined as the ratio of favorable outcomes to total number of outcomes. So,

The probability of rolling an odd number would be = \frac{3}{6} = \frac{1}{2}

b) Rolling a number greater than 3 in second throw

Here again total possible outcomes = 6

Favorable outcomes (Numbers greater than 3 are 4, 5 and 6) = 3

So,

The probability of rolling a number greater than 3 =  \frac{3}{6} = \frac{1}{2}

These two events(rolls) are independent of each other, so the overall probability of both events occurring would be the product of individual probabilities.

So,

Probability of rolling an odd number the first time and a number greater than 3 the second time = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}

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Step-by-step explanation:

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3 years ago
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1. The sign outside Mrs. Washington’s catering company is in the shape of a trapezoid, as shown below.
inessss [21]

let's notice the tickmarks on  the left and right sides, meaning those two sides are twins, and therefore equal, so the perimeter is simply 2.5+2.5+3.5+2.5 = 11 ft.

the trapezoid has an altitude/height of 2 ft, thus

\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\[-0.5em] \hrulefill\\ a=2.5\\ b=3.5\\ h=2 \end{cases}\implies A=\cfrac{2(2.5+3.5)}{2}\implies A=6

3 0
3 years ago
Whats the decimal equivalent of 16%
masha68 [24]

Answer:

0.16

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Percent means 'per 100'. So, 16% means 16 per 100 or simply 16/100.

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2 years ago
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A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 5t, where t represents t
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Because we know the area in terms of paint flow, and paint flow in terms of time, we can substitute p(t) for p in the A(p) equation.

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3 years ago
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3. Hi
butalik [34]

Answer:

D. linear; y = – 3x –6

Step-by-step explanation:

Answer:

Option (2).

Step-by-step explanation:

From the figure attached,

Since there is a common difference in each successive term and previous term of y,

y_{2}-y_{1}=-9-(-6)

          = -3

y_{3}-y_{2}=-12-(-9)

          = -3

Therefore, this data represents a linear equation.

Now we choose two points from the table given.

Let the points are (0, -6) and (1, -9)

Slope of this line 'm' = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{-9+6}{1-0} = -3

Y-intercept 'b' = -6

Equation of the line will be,

y = -3x - 6

Option (2) will be the answer.

Answer: The correct answer is c

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Answer:

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1.5 x 1 = 1.5

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