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dmitriy555 [2]
2 years ago
15

The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 80% of planted seeds will germinate. Suppose t

he manufacturer is correct. If 10 seeds planted with the fertilizer are randomly selected, what is the probability that more than 7 of them germinate
Mathematics
1 answer:
olga nikolaevna [1]2 years ago
3 0

The Probability of that more than 7 of them germinate is 0.2948.

<h3>What is Probability?</h3><h3>Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.</h3>

We are to determine the probability that more than 7 of 10 seeds (i.e. 8, 0r 9 0r 10) germinate.

The probability that all 10 seeds germinate is equal 0.80¹⁰= 0.1073 = 10.73%.

The probability that only the first (only the second, etc ) seed does not germinate is equal 0.20 X 0.80⁹= 0.0268 = 2.68%.

The probability that 6 seeds germinate is the sum of the probabilities that only the first seed does not germinate, only the second one does not germinate, etc, and equals to 10 X 0.0268  = 0.268 = 26.8%.

The total probability that more than 7 of 10 seeds germinate is the sum of the probabilities that 10 seeds germinate and that 7 seeds germinate, i.e. 2.68 % + 26.8 % = 29.48 %.

Thus, The Probability of that more than 7 of them germinate is 0.2948.

Learn more about Probability from:

brainly.com/question/11234923

#SPJ1

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A dog weighs 10 lbs how many 5 mg tablets are needed to provide a dose of 7.5 mg /lb to the dog​
Virty [35]

Answer:

15 5mg tablets

Step-by-step explanation:

The dog needs 7.5 mg a pound. He weighs 10 lbs so multiply 7.5 by 10. You get 75 so divide it by 5. Answer is 15

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3 years ago
Mary has rehearsed her ballet solo for five and a half hours. A week from now, she wants to have rehearsed at least a total of n
djverab [1.8K]
The answer to this problem is 2
3 0
2 years ago
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Find the volume of this triangular prism.
Ivanshal [37]

Answer:

45m^3

Step-by-step explanation:

Given that the area of thee triangle is 3m^2 and the volume formula is b x h x w. You have b x h of the triangle so you just need to multiply by the width of the prism which is 15. 3x15=45

7 0
2 years ago
The heights of a random sample of 50 college students showed a mean of 174.5 centimeters and a standard deviation of 6.9 centime
Minchanka [31]

Answer:

Step-by-step explanation:

Hello!

For me, the first step to any statistics exercise is to determine what is the variable of interest and it's distribution.

In this example the variable is:

X: height of a college student. (cm)

There is no information about the variable distribution. To estimate the population mean you need a variable with at least a normal distribution since the mean is a parameter of it.

The option you have is to apply the Central Limit Theorem.

The central limit theorem states that if you have a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.

As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.

The sample size in this exercise is n=50 so we can apply the theorem and approximate the distribution of the sample mean to normal:

X[bar]~~N(μ;σ2/n)

Thanks to this approximation you can use an approximation of the standard normal to calculate the confidence interval:

98% CI

1 - α: 0.98

⇒α: 0.02

α/2: 0.01

Z_{1-\alpha /2}= Z_{1-0.01}= Z_{0.99} =2.334

X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

174.5 ± 2.334* \frac{6.9}{\sqrt{50} }

[172.22; 176.78]

With a confidence level of 98%, you'd expect that the true average height of college students will be contained in the interval [172.22; 176.78].

I hope it helps!

4 0
2 years ago
A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?
KatRina [158]

Volume of a cube = (edge)^3

In this problem,

Volume = 216in^2

Edge = ?

Let's plug our values into the formula above.

216in^3 = (edge)^3

Take the cbrt of both sides.

6in = edge

The length of each edge = 6in

3 0
3 years ago
Read 2 more answers
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