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kenny6666 [7]
3 years ago
12

A garden has 8 white roses and 11 red roses. One rose is plucked from the garden and then one more rose is plucked without repla

cement let the event w=plucking a white rose for the first time and event r=plucking a red rose for the second time in two or more complete sentences explain the meaning of probabilities p(r/w) and p(w/r) do they have the same value
Mathematics
1 answer:
liberstina [14]3 years ago
3 0
P(r/w) is the probability of picking a red rose at first picking and a white rose at second picking.
P(w/r) is the probability of picking a white rose at first picking and a red rose at second picking.

P(r/w) = \frac{11}{19}×\frac{8}{18} = \frac{88}{342}
P(w/r) = \frac{8}{19}×\frac{11}{18}=\frac{88}{342}

Notice that the second fraction is out of 18 because the second picking of rose will be out of 18 since the first rose is not replaced.

P(r/w) equals to P(w/r)
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Answer: i hope you pass that quiz

Step-by-step explanation:

7 0
3 years ago
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Employees from A and company B receive annual bonuses. What information would you need to test the claim that the difference in
lyudmila [28]

Answer:

1. The required information are

The average annual bonuses, \bar {x}_1 received by employees from company A

The average annual bonuses, \bar {x}_2 received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: \bar {x}_1 - \bar {x}_2 ≤ 100

The alternative hypothesis is Hₐ: \bar {x}_1 - \bar {x}_2 > 100

Step-by-step explanation:

1. The required information are

The average annual bonuses, \bar {x}_1 received by employees from company A

The average annual bonuses, \bar {x}_2 received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: \bar {x}_1 - \bar {x}_2 ≤ 100

The alternative hypothesis is Hₐ: \bar {x}_1 - \bar {x}_2 > 100

The z value for the hypothesis testing of the difference between two means is given as follows;

z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\frac{\sigma_{1}^{2} }{n_{1}}-\frac{\sigma _{2}^{2}}{n_{2}}}}

At 0.5 level of significance, the critical z_\alpha = ± 0

The rejection region is z > z_\alpha and z < -z_\alpha

Therefore, the value of z obtained from the relation above more than or less than 0, we reject the null hypothesis, and we fail to reject the alternative hypothesis.

7 0
3 years ago
Out of 600 students who complete the proficiency test, 423 were found to be proficient in reading, 398 were found to be proficie
Mashcka [7]

Answer:

309 students

Step-by-step explanation:

Out of 600 students who complete the proficiency test, 423 were found to be proficient in reading, 398 were found to be proficient in math, and 512 were found to be proficient in either reading or math. How many were proficient in both reading and math?

We solve the above question using the formula below:

Where R = Proficiency in reading

M = Proficiency in maths

n ( R ∪ M) = n(R) + n ( M) - n ( R ∩ M)

n ( R ∪ M) = 512 students

n(R) = 423

n ( M) = 398

n ( R ∩ M) = ??

Hence:

512 = 423 + 398 - n ( R ∩ M)

n ( R ∩ M) = 423 + 398 - 512

= 821 - 512

= 309

The number of people proficient in both reading and math [n ( R ∩ M)] = 309 students

3 0
2 years ago
Shonice is making snack bags for her daughters field hockey team she puts 3/4 cup of pretzels, 1/3 cup of peanuts and 1/4 cup of
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3 years ago
Find the area of the kite by summing the areas of the triangles that make it.
gayaneshka [121]

answer = 70

top triangle

1/2 times 5 times 5 = 12.5

12.5 times 2 = 25

bottom

14 - 5 = 9

1/2 times 5 × 9 = 22.5

22.5 times 2 = 45

45 + 25 = 70

7 0
2 years ago
Read 2 more answers
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