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Alex_Xolod [135]
3 years ago
15

I need help badly please help !!

Mathematics
1 answer:
borishaifa [10]3 years ago
6 0
Probability of green die being even: 3/6, which simplifies to 1/2 (2, 4, 6 are even and 1, 3, 5 are odd)

Probability of blue die being even: 3/6, which simplifies to 1/2.

Compound probability:
1/2* 1/2= 1/4

Final answer: 1/4
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Need help with stats!
KIM [24]

Answer:

A. a) 24

A. b) 4

B. a) 40320

B. b) 576

Step-by-step explanation:

General formula for Permutations:

P(n,r) = \frac{n!}{(n - r)!}

A. Concert seats:  2 couple --- total of 4 persons.

a) without restrictions

Since there are no restrictions, but that the order is important (John, Mary, Paul, Michelle isn't the  same as Michelle, Mary, Paul, John), it's a permutation calculation.

Then we calculate the permutations of 4, out of 4, so...

P(4,4) = \frac{4!}{(4 - 4)!} = 4! = 24

24 different ways for them to sit.

b) couples together

Now, we can see the problem as having 2 levels of permutations, first the couples, then inside the couples.

There are 2 ways for the first level or order... couples AB or BA, so 2 possibilities.

Inside each couple, man then woman (MW) or woman then man (WM), so 2 possibilities there too on 2nd level.

Overall 2 * 2 = 4 ways to sit by couple.

B) Single file

a) without restrictions

Again, order is important, so another permutation, not a combination.  And since we have no restriction, it can be any sequence.

We then have to calculate the number of permutations of 8 out of 8...

P(8,8) = \frac{8!}{(8 - 8)!} = 8! = 40320

There are 40,320 ways these 8 kids can pass the door.

b) girls first.

So, the four girls have to enter first.... and these four girls can be in any order.. how many permutations? P(4,4)... so 24 as calculated above.

For the four boys, how many permutations?  Yes, again P(4,4)... so 24 again.

Overall, we need to multiply the two... 24 x 24 = 576 ways if the girls enter first, followed by the boys.

8 0
3 years ago
What is the product?
Wewaii [24]

Answer:

-30a^5b + 12a^4b^3 + 16a^3b^2 - 4a^2b^4 - 2 ab^3

Step-by-step explanation:

6 0
2 years ago
What is 3/5 of 7 kg ?
MAVERICK [17]
What is 3/5 of 7 kg ?

of = multiplication

3/5 × 7 = ?
0.6 × 7 = 
4.2

3/5 of 7 kg is 4.2 kg.
3 0
3 years ago
Read 2 more answers
69.5 is What precent of 85?
kenny6666 [7]
69.5 percent of 85 is 59.075 
3 0
3 years ago
Read 2 more answers
Based on data collected 5 years ago, a hotel expects that 24% of all guests will request smoking rooms. The hotel suspects that
9966 [12]

Answer:

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms.

Sample proportion

                          p = x/n = 39/223 = 0.174

Given Population proportion 'P' = 0.24

Given random sample size 'n' = 223

Level of significance ∝ =0.05

The critical value Z₀.₀₅ = 1.96

<u><em>Null Hypothesis</em></u> (H₀) : P=0.24

<u><em>Alternative Hypothesis</em></u> (H₁) : P≠ 0.24

<u><em>Step(ii)</em></u>:-

<em>Test statistic </em>

            Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }

           Z = \frac{0.174-0.24}{\sqrt{\frac{0.24 X 0.76}{223} } }

           |Z| = | -2.3084|= 2.3084

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

7 0
3 years ago
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