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Romashka-Z-Leto [24]
3 years ago
11

4. A bag contains five red marbles, two orange marbles, one yellow marble, and two green marbles. Two marbles are drawn from the

bag.
What is the approximate probability one of the chosen marbles is orange and one of the chosen marbles is green?
A. 0.02222
B. 0.04444
C. 0.08889
D. 0.13333
Mathematics
1 answer:
Vitek1552 [10]3 years ago
4 0

Answer:

  • C. 0.08889

Step-by-step explanation:

<u>Total number of marbles:</u>

  • 5 + 2 + 1 + 2 = 10

<u>There are two possibilities</u>

  • Orange then green or green the orange

<u>The probabilities are:</u>

  • P(o&g) = 2/10*2/9 = 2/45
  • P(g&o) =2/10*2/9 = 2/45

<u>Required probability is:</u>

  • P = 2/45*2 = 4/45 =  0.08889

Correct choice is C

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Which problem can be represented by the equation 100x+50=710?
andrew-mc [135]

Answer: The first answer

A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?

Step-by-step explanation:

7 0
3 years ago
A researcher at the University of Washington medical school believes that energy drink consumption may increase heart rate. Supp
Nana76 [90]

Answer:

Step-by-step explanation:

Given that:

mean μ = 70

sample size = 25

sample mean = 73

standard deviation = 7

level of significance = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

\mathtt{H_o : \mu = 70} \\ \\  \mathtt{H_1 : \mu > 70 }

The z score for this statistics can be calculated by using the formula:

z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{73- 70}{\dfrac{7}{\sqrt{25}}}

z = \dfrac{3}{\dfrac{7}{5}}

z = \dfrac{3 \times 5}{{7}{}}

z = 2.143

At level of significance of 0.10

degree of freedom = n -1

degree of freedom = 25 - 1

degree of freedom = 24

The p - value from the z score at   level of significance of 0.10 and degree of freedom of 24 is:

P - value = 1 - (Z < 2.143)

P - value =  1 - 0.9839

P - value =  0.0161

Decision Rule: since P value is lesser than the level of significance, we reject the null hypothesis.

Conclusion: We conclude that energy drink consumption increases heart rate.

5 0
3 years ago
If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the larg
vlabodo [156]

Consider all employees.

A.

  • gross pay $32,600 - 100%,
  • total job benefits $33,600 - x%.

Then

\dfrac{32,600}{33,600}=\dfrac{100}{x},\\ \\32,600\cdot x=33,600\cdot 100,\\ \\x=\dfrac{33,600\cdot 100}{32,600}=\dfrac{33,600}{326} \approx 103.07.

Employee A receives 3.07% of gross pay in employee benefits.

B.

  • gross pay $32,900 - 100%,
  • total job benefits $34,000 - x%.

Then

\dfrac{32,900}{34,000}=\dfrac{100}{x},\\ \\32,900\cdot x=34,000\cdot 100,\\ \\x=\dfrac{34,000\cdot 100}{32,900}=\dfrac{34,000}{329} \approx 103.34.

Employee B receives 3.34% of gross pay in employee benefits.

C.

  • gross pay $33,400 - 100%,
  • total job benefits $33,900 - x%.

Then

\dfrac{33,400}{33,900}=\dfrac{100}{x},\\ \\33,400\cdot x=33,900\cdot 100,\\ \\x=\dfrac{33,900\cdot 100}{33,400}=\dfrac{33,900}{334} \approx 101.50.

Employee C receives 1.50% of gross pay in employee benefits.

D.

  • gross pay $33,700 - 100%,
  • total job benefits $34,700 - x%.

Then

\dfrac{33,700}{34,700}=\dfrac{100}{x},\\ \\33,700\cdot x=34,700\cdot 100,\\ \\x=\dfrac{34,700\cdot 100}{33,700}=\dfrac{34,700}{337} \approx 102.97.

Employee D receives 2.97% of gross pay in employee benefits.

Answer: correct choice is B.

7 0
3 years ago
Read 2 more answers
How many parallel sides can a triangl have
katrin2010 [14]

Answer:

None.

Step-by-step explanation:

Hi!!

A triangle has <u>NO</u> parrallel lines. It cannot. Think of a triangle. IF it had a parralell line(s), it would not have 3 sides.

Otherwise, it wouldn't be a polygon which is part of the criteria for a triangle.

Hope this helps!

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5 0
3 years ago
Read 2 more answers
Find the perimeter and the area of the figure
valina [46]

Answer:

area=112

perimeter=56

3 0
2 years ago
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