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Neporo4naja [7]

3 years ago

13

Which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green ap

ples?

2 answers:

snow_lady [41]3 years ago

6 0

Answer:

8:15

or 8/15

Step-by-step explanation:

8 out of 15

harina [27]3 years ago

3 0

Answer:

8:15

Step-by-step explanation:

There are 8 red apples and total of 15 apples

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Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat

NemiM [27]

Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that $n = 65, \pi = 0.76$

99% confidence level

So $\alpha = 0.005$ , z is the value of Z that has a pvalue of $1 - \frac{0.005}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964$

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

6 0

2 years ago

Determine the min value of y=18cos(10θ) Enter only the numeric value

Drupady [299]

Answer:

look at this

o(*≧□≦)o

Step-by-step explanation:

MATH-WAY

5 0

2 years ago

Read 2 more answers

Kate has a coin collection. She keeps 7 of the coins in a box which is only 5% of her entire collection.

Vadim26 [7]

Answer:

She has 140 coins in total.

Step-by-step explanation:

Since 7 coins is only 5% of the entire collection, 7 coins=5%. 100% is the total. So first you need to divide 100 by 5 which is 20 (100÷5=20). Next, you need to multiply 20 by 7 (20×7=140) to find out how much coins she has in total.

Hope this helps you!

4 0

2 years ago

Divide<br> R18000 into<br> 2:3??

Blizzard [7]

Answer:

3000

Step-by-step explanation:

I hope this answer will help you

5 0

2 years ago

Read 2 more answers

Suppose that one-way commute times in a particular city are normally distributed with a mean of 15.43 minutes and a standard dev

vovikov84 [41]

Answer:

Yes, a commute time between 10 and 11.8 minutes would be unusual.

Step-by-step explanation:

A probability is said to be unusual if it is lower than 5% of higher than 95%.

We use the normal probability distribution to solve this question.

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 15.43, \sigma = 2.142$

Would it be unusual for a commute time to be between 10 and 11.8 minutes?

The first step to solve this problem is finding the probability that the commute time is between 10 and 11.8 minutes. This is the pvalue of Z when $X = 11.8$ subtracted by the pvalue of Z when X = 10. So

X = 11.8

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{11.8 - 15.43}{2.142}$

$Z = -1.69$

$Z = -1.69$ has a pvalue of 0.0455

X = 10

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{10 - 15.43}{2.142}$

$Z = -2.54$

$Z = -2.54$ has a pvalue of 0.0055

So there is a 0.0455 - 0.0055 = 0.04 = 4% probability that the commute time is between 10 and 11.8 minutes.

This probability is lower than 4%, which means that yes, it would be unusual for a commute time to be between 10 and 11.8 minutes.

7 0

2 years ago