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lana [24]
3 years ago
7

Hillgrove High School plays 3 soccer games. The team loses 2 of those games. According to the tree diagram, how many ways could

this happen?

Mathematics
2 answers:
Rashid [163]3 years ago
7 0
You could do it 3 ways.
Hope this helps.
Nesterboy [21]3 years ago
7 0

Answer:

Number of ways: 3

Step-by-step explanation:

Hill grove High School plays 3 soccer games.

The team loses 2 of those games.

Total number of games played = 3

Number of games loose, L = 2

Number of game won, W = 1

<u>Possibilities:-</u>

  • First game won and last two loose,  WLL
  • Second game won and first and last loose, LWL
  • last game won and first two loose, LLW

Please find attachment for tree diagram.

Hence, Total 3 ways this would happen.

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Dexter has four different coins in his pocket. He randomly selects a coin from his pocket, replaces it, and selects another coin
skad [1K]

Answer:

Step-by-step explanation:

So what is the probability of the selecting the first coin? There are total of 4 different coins, so the probability of getting a dime is 1 out of 4, then he replace it, then again the probability stays the same, he still has 1 out 4 chance of getting a dime. So then it's just 1/4*1/4=1/16 :)

4 0
3 years ago
) The National Assessment of Educational Progress (NAEP) gave a test of basic arithmetic and the ability to apply it in everyday
Vsevolod [243]

Answer:

a) The standard deviation of this sampling distribution is 2.07.

b) The missing number is 4.14.

c) The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.

Step-by-step explanation:

To solve this question, we need to understand the Empirical Rule and the Central Limit Theorem.

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\mu = 272, n = 840, \sigma = 60

(a) If we take many samples, the sample mean x⎯⎯⎯ varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score μ in the population. What is the standard deviation of this sampling distribution?

Using the Central Limit Theorem:

s = \frac{\sigma}{\sqrt{n}} = \frac{60}{\sqrt{840}} = 2.07

The standard deviation of this sampling distribution is 2.07.

(b) According to the 95 part of the 68-95-99.7 rule, 95% of all values of x⎯⎯⎯ fall within _______ on either side of the unknown mean μ. What is the missing number?

Within 2 standard deviations of the mean.

So, 2*2.07 = 4.14

The missing number is 4.14.

(c) What is the 95% confidence interval for the population mean score μ based on this one sample?

Within 4.14 of the mean

272 - 4.14 = 267.86

272 + 4.14 = 276.14

The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.

6 0
3 years ago
1
mylen [45]
151.525 round to the nearest cent before answering
3 0
3 years ago
Determine the amount of money you need to invest to have $18,000 dollars in 2 years if you Invest it at 20% annual Interest, com
vekshin1

Answer:

$12,500

Step-by-step explanation:

Using the compound interest formula Accrued Amount = P (1 + r)^n

where Accrued amount = $18000

P = principal; we need to generate it

r = 20% = 0.2

n = 2

Therefore

P = Accrued amount/ (1 + r)^n

= 18000/(1+0.2)^2

= 18000/1.44

= 12,500

hence $12,500 needs to be invested

3 0
3 years ago
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Answer:

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Step-by-step explanation:

<u>Solving</u> :

⇒ log y = log (x²)

⇒ log y = 2 log x

⇒ \mathsf {\frac{1}{y} \frac{dy}{dx} = \frac{1}{x} \times 2}

⇒ \mathsf {\frac{dy}{dx}= 2x}

5 0
2 years ago
Read 2 more answers
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