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katrin [286]
3 years ago
10

Information on a packet of​ seeds, which may not be a random sample of​ seeds, claims that the germination rate is 94​%. ​What's

the probability that more than 96​% of the 220 seeds in the packet will​ germinate? Be sure to discuss your assumptions and check the conditions that support your model.
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0

Answer:

0.1052

Step-by-step explanation:

Given that proportion of germination in the population is 94% =0.94

p = 0.96

Sample size = 220

Std dev of p = \sqrt{\frac{pq}{n} } \\=0.016

The probability that more than 96​% of the 220 seeds in the packet will​ germinate

= P(p\geq 0.96)\\=P(Z\geq \frac{0.96-0.94}{0.016})\\=P(Z\geq 1.25)\\==1-0.8948\\=0.1052

Assumptions are np and nq >5 and also sample size >220 hence normal

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The sides of a triangle measure 7, 4, and 9. If the longest side of a similar triangle measures 36, Determine and state the leng
Jobisdone [24]

Step-by-step explanation:

Okay! Since these are similar figures we need to find the scale factor in order to answer this question.

We have a triangle with sides 7, 4, and 9. The longest side is 9. This corresponds with the longest side on the similar triangle, which is 36. So to find the scale factor we divide 36 by 9. The scale factor is 4.

Now to find the shortest side of the bigger triangle, we have to find the length of the shortest side on the smaller one which is 4. Since our scale factor is 4, we multiply 4 by 4 to get 16.

The length of the shortest side of the similar triangle is 16

5 0
3 years ago
The weather forecast says that the probability of being cloudy tomorrow is 30% and the probability of raining is 25%. If it is c
Bumek [7]
<h3>Answer:</h3>

\large\boxed{C).\,13.5\%}

<h3>Step-by-step explanation:</h3>

In this question, we're trying to find the probability of it being cloudy and raining.

In this case, we know that:

  • Probability of it being cloudy is 30%
  • Probability of it raining is 25% (this is necessarily not needed)
  • If it's cloud, the probability of it raining is 45%

With the information above, we can find the probability.

We know that from a 100% scale, the chance of it being cloudy is 30%.

We know that if it's cloudy, the chances of raining is 45%

To find the probability of it being cloudy and raining, we would multiply 0.3 (30%) by 0.45 (45%)

Solve:

0.3*0.45=0.135\\\\\text{Move the decimal place two times to the right}\\\text{to turn it into a percent}\\\\\boxed{13.5\%}

Your answer would be C). 13.5%

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
6 0
3 years ago
What is the value of x in the traingal shown 70 56 x-5
Zepler [3.9K]

Answer:

70°+56°+x-5=180°{sum of angle of triangle }

121+x=180°

x=180-121

x=59°

hope it helps.

<h3>stay safe healthy and happy.</h3>
3 0
3 years ago
Helppppppppppppp!!!!!!!
ZanzabumX [31]

Answer:

1.368

Step-by-step explanation:

2ln(x-1)=-2\\\\\text{divide by 2}\\\\ln(x-1)=-1\\\text{take the exponential}\\\\x-1=e^{-1}\\\\\Large \boxed{\sf \bf x = 1+\dfrac{1}{e}}

Thanks

8 0
4 years ago
Mr. Sanchez built a fence to enclose a rectangular
Sergeu [11.5K]

9514 1404 393

Answer:

  216 feet

Step-by-step explanation:

The area is given by the formula ...

  A = LW

Solving for width, we have ...

  W = A/L = 2835 ft²/(45 ft) = 63 ft

__

The perimeter is given by the formula ...

  P = 2(L +W)

  P = 2(45 ft +63 ft) = 2(108 ft)

  P = 216 ft

216 feet of fencing are needed to enclose the area.

8 0
3 years ago
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