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forsale [732]
2 years ago
15

There are 9 red, 5 yellow, and 7 green jellybeans in a jar. Without replacement what is the probability of choosing a green jell

ybean followed by a red jellybean?
Mathematics
1 answer:
Mrac [35]2 years ago
8 0

Answer:

3/14 chance first draw

Step-by-step explanation:

There are 14 jellybeans in all, you won’t be replacing so the probability will change with each draw.

Probability the 1st draw is red = 3/14.

Probability the 2nd draw is red = (3–1)/(14–1) = 2/13.

Probability the 3rd draw is red = (2–1)/(13–1) = 1/12.

3/14 x 2/13 x 1/12 = 6/2184 = 1/364 is approximately 0.27%, pretty rare.

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A test is made of H subscript 0 colon space mu space equals space 43 space space v e r s u s space space H subscript 1 colon spa
sweet [91]

Answer:

The calculated value Z = 1.39 <1.96 at 0.05 level of significance

The null hypothesis is accepted

Step-by-step explanation:

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

Given that the mean of the Population = 43

Given that the mean of the sample = 47

Given that the standard deviation of the Population = 25

Given that the sample size 'n' = 76

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

<u><em>Null hypothesis:H₀: μ = 43</em></u>

<u><em>Alternative Hypothesis: H₁: μ ≠ 43</em></u>

Test statistic

           Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

          Z = \frac{47-43 }{\frac{25}{\sqrt{76} } }

          Z = 1.39

Level of significance = 0.05

The critical value = 1.96

<u><em>Final answer:-</em></u>

<em>The calculated value Z = 1.39 <1.96 at 0.05 level of significance</em>

<em>The null hypothesis is accepted </em>

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B1%7D%7B5%7D%20%29%20%7B%7D%5E%7Bx%7D%20%3D%20125" id="TexFormula1" title="( \f
anzhelika [568]

Well we know that...a^{-1}=\frac{1}{a^{1} }\\.

So...(\frac{1}{5})^{-1}=\frac{1}{\frac{1}{5}^{1}}=5\\\\.

Because 5^{3}=125,

\frac{1}{5}^{-1*3}=125\\  x=-1*3=-3

answer: -3

8 0
3 years ago
HELP PLS
olchik [2.2K]

3996  \times  \frac{1}{3}  = 1332
the volume is 1332 in^3


good luck
4 0
3 years ago
Two trains leave stations 442 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour
Brrunno [24]

(75 + 95) \times x = 442

x =  \frac{442}{75 + 95}  = 2.6

so it takes 2.6 of hours which is the same as 2 hours and 36 minutes for them to reach eachother.

6 0
3 years ago
Two adjacent rooms are rectangles, both of length 13 feet by 10 feet. Jerry wants to change the carpets in both rooms. How many
Ugo [173]

Answer:

  260 square feet

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

The area of two same-size rectangular rooms will be double the area of one of them.

__

<h3>room area</h3>

Each room has an area of ...

  A = LW = (13 ft)(10 ft) = 130 ft²

<h3>carpet order</h3>

The order for carpet must be for 2 times the area of one room:

  carpet order = 2 × 130 ft² = 260 ft²

Jerry should order 260 square feet of carpet.

6 0
2 years ago
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