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amid [387]
2 years ago
12

What are the odds of rolling 2 dice and getting the sum of 7?

Mathematics
1 answer:
Yuliya22 [10]2 years ago
5 0

Answer:

1/6

Step-by-step explanation:

favorable over total outcomes

favorable is 6

total is 36

6/36 = 1/6

6 favorable outcomes are:

(1,6), (2,5), (3,4), (4,3), (5,2), (6,1) }

total of 36 outcomes are :

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

testbookcom

quora Praneethreddy Ravi Shetye

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Step-by-step explanation:

3 0
3 years ago
PLEASE HELP
dsp73

Answer:

All events are independent

Step-by-step explanation:

You are given the table

\begin{array}{cccc}&\text{Chocolate}&\text{Vanilla}&\text{Total}\\\text{Adults}&0.21&0.39&0.60\\\text{Children}&0.14&0.26&0.40\\\text{Total}&0.35&0.65&1.00\end{array}

Two events A and B are independent when

Pr(A\cap B)=Pr(A)\cdot Pr(B)

a) A="Chocolate"

B="Adults"

A and B="Chocolate and Adults"

Pr(A)=0.35\\ \\Pr(B)=0.60\\ \\Pr(A\cap B)=0.21

Since 0.35\cdot 0.60=0.21 events are independent

b) A="Children"

B="Chocolate"

A and B="Children and Chocolate"

Pr(A)=0.40\\ \\Pr(B)=0.35\\ \\Pr(A\cap B)=0.14

Since 0.40\cdot 0.35=0.14 events are independent

c) A="Vanilla"

B="Children"

A and B="Vanilla and Children"

Pr(A)=0.65\\ \\Pr(B)=0.40\\ \\Pr(A\cap B)=0.26

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4 0
3 years ago
Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−5).
Zolol [24]

Hi! the answer should be 104

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Formula: h(g(x))

1) First you want to take the -5 and plug that into the given equation for g(x)

• 2(-5)= -10

2) Next you want to take the -10 and plug it into the equation for h(x)

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2 years ago
What is the equation, in slope-intercept form, of the line that passes through (0, 3) and has a slope of −6?
crimeas [40]

Answer:

The answer is

<h2>y =  - 6x - 3</h2>

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

<h3>y  - y_{1} = m(x - x _{1})</h3>

where

m is the slope

( x1 , y1) is the point

From the question the point is (0 , 3) and slope is - 6

Substitute the values into the above formula and solve

That's

<h3>y -  3 =  - 6(x - 0) \\ y - 3 =  - 6x</h3>

We have the final answer as

<h3>y =  - 6x - 3</h3>

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8 0
3 years ago
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