Ask question

Ask question

All categories

3 years ago

7

Which first step most directly leads to the solution of the equation below?

1 answer:

dusya [7]3 years ago

4 0

C the Promised and I have put in both of them for a few weeks but they have to do a better job on

You might be interested in

We roll two fair 6-sided dice. Each of the 36 possible outcomes is assumed to be equally likely. (a) Given that the roll results

boyakko [2]

Answer:

a) $\frac{1}{7}$

b) $\frac{2}{15}$

Step-by-step explanation:

Given : We roll two fair 6-sided dice. Each of the 36 possible outcomes is assumed to be equally likely.

The 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)

(a) Given that the roll results in a sum of 3 or more, find the conditional probability that doubles (the first and the second rolls result in the same number) are rolled.

Let P(A) be the probability of event that the roll results in a sum of 3 or more.

Except (1,1) rest sum is 3 or greater than 3.

So, $P(A)=\frac{35}{36}$

Now, P(A and B) is that the roll results in a sum of 3 or more and that doubles (the first and the second rolls result in the same number) are rolled.

i.e. (2,2), (3,3), (4,4), (5,5), (6,6) - 5

$P(A\cap B)=\frac{5}{36}$

The conditional probability is given by,

$P(B|A)=\frac{P(A\cap B)}{P(A)}$

$P(B|A)=\frac{\frac{5}{36}}{\frac{35}{36}}$

$P(B|A)=\frac{5}{35}$

$P(B|A)=\frac{1}{7}$

(b) Given that the two dice land on different numbers, find the conditional probability that the sum is 5.

Let P(A) be the probability of event that two dice land on different numbers.

Except (1,1),(2,2), (3,3), (4,4), (5,5), (6,6) rest two dice land on different numbers.

So, $P(A)=\frac{30}{36}$

Now, P(A and B) is that two dice land on different numbers and the sum is 5.

i.e. (1,4), (2,3), (3,2), (4,1) - 4

$P(A\cap B)=\frac{4}{36}$

The conditional probability is given by,

$P(B|A)=\frac{P(A\cap B)}{P(A)}$

$P(B|A)=\frac{\frac{4}{36}}{\frac{30}{36}}$

$P(B|A)=\frac{4}{30}$

$P(B|A)=\frac{2}{15}$

4 0

3 years ago

Feliz [49]

The solution to given system of equations is $(x, y) = (\frac{-15}{263} , \frac{-115}{263})$

The given equation has one solution

<em><u>Solution:</u></em>

Given system of equations are:

12x - 13y = 5 --------- eqn 1

x = 23y + 10 --------- eqn 2

We have to solve the system of equations by substitution

<em><u>Substitute eqn 2 in eqn 1</u></em>

12(23y + 10) - 13y = 5

276y + 120 - 13y = 5

263y = 5 - 120

263y = -115

$y = \frac{-115}{263}$

<em><u>Substitute the above value of "y" in eqn 2</u></em>

$x = 23 \times \frac{-115}{263} + 10\\\\x = \frac{-2645}{263} + 10\\\\x = \frac{-2645 + 2630}{263}\\\\x = \frac{-15}{263}$

Thus the solution to given system of equations is $(x, y) = (\frac{-15}{263} , \frac{-115}{263})$

Thus the given equation has one solution

4 0

3 years ago

The luxury Swiss Chalet hotel general manager (GM) reported to her owner that the hotel's Occupancy Index for the calendar year

SpyIntel [72]

Answer:

the Swiss Chalet had higher occupancy than its competitive set in 2019

Step-by-step explanation:

7 0

3 years ago

Why am i smart<br> esfcobqagd

katen-ka-za [31]

Answer:

Because you pay attention in school. Thank you for the points!!

Step-by-step explanation:

7 0

3 years ago

HELP MEEEEEEEE!!!!!!11 Thirteen babies were born in a hospital on the same day. The weights of the babies (in pounds) were 5.5,

Tanya [424]

Answer:

B interquartile range

Step-by-step explanation:

hope this helps:)

8 0

3 years ago

Read 2 more answers