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3 years ago

5. There were 30

Mathematics

2 answers:

Bumek [7]3 years ago

4 0

Answer:10 presents fell off

Step-by-step explanation: to find 2/6 we can start with finding 1/6 because it’s easier. To do that we divide 30 by 6 which equals 5. because 5 is 1/6 5x2 is 2/6 so the answer is 10

Leto [7]3 years ago

4 0

Answer:

you put 30 over 1 than you then you 2 over 6 then subtract then

Step-by-step explanation:

so it would look like this

30/1 - 2/6=

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Each of 12 refrigerators of a certain type have been returned to a distributor because of the presence of a high pitched oscilla

Bond [772]

Answer:

a) P(X = 5) = 0.04397

b) The probability that X exceeds its mean by more than 1 standard deviation = P(z > 1) = 0.159

Step-by-step explanation:

a) This question can be solved using binomial distribution function formula

Using Binomial,

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of refrigerators to be examined before getting 5 refrigerators with defective compressors = 6

x = Number of successes required = 5

p = probability of success = probability of examining a refrigerator with defective compressor out of the total 12 = 5/12 = 0.4167

q = probability of failure = probability of examining a refrigerator without defective compressor out of the total 12 = 1 - (5/12) = 7/12 = 0.5833

P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833)⁶⁻⁵

P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833) = 1(0.01256)(0.5833) = 0.04397

P(X = 5) = 0.04397

b) The probability that X exceeds its mean by more than 1 standard deviation represents Z-score of z > 1

Using the normal distribution tables,

P(z > 1) = 1 - P(z ≤ 1) = 1 - 0.841 = 0.159

3 0

4 years ago

Factorize m²-2mn+n²-9r

san4es73 [151]

Answer:

$(m-n)^{2}-9r$

Step-by-step explanation:

m²-2mn+n²-9r

$(m-n)^{2}-9r$

3 0

3 years ago

Each of the following situations describes a normally distributed population for which a statistical procedure should be used. M

densk [106]

Answer:

(a) Correct option (1).

(b) Correct option (3).

Step-by-step explanation:

A one-sample z-test for mean is used to determine whether the claimed value of mean is significant or not. To perform this test we can also use the t-distribution.

The t-test is used if the following conditions are given:

The population is normally distributed
The population standard deviation is not known
The sample selected is large enough.

Similarly the (1 - α)% confidence interval for population mean can be computed either using the z-interval or the t-interval.

The same conditions should be applied to use the t-interval.

(a)

In the first case, Gale wants to determine the likely range of weight of whole coffee beans from her trusty two-tablespoon scoop to create a reliable method of brewing the perfect cup of coffee.

She selects a sample of n = 15 scoops and perform the test.

Since the population standard deviation is not known and Gale wants to know the range of weight of whole coffee beans , she should use a one sample t-confidence interval for a mean.

The correct option is (1).

(b)

In the second case, Tanya wants to determine whether the mean IQ score is at least 112 or not.

She selects a a random sample n = 20 composers and compute the statistic to perform the one-sample test.

Since the population standard deviation is not known, Tanya should use one sample t-test for a mean.

The correct option is (3).

(c)

In the second case, Jason wants to estimate what the balance of his retirement account will be in one month.

He selects the data from 1950 to 2015 and calculates this index has had an average monthly return of 0.69% with a standard deviation of 4.15%.

Now, the sample selected is quite large. The Central limit theorem can be used to approximate the sampling distribution of sample mean.

Then, $\bar X\sim N(\mu_{\bar x}, \sigma_{\bar x})$

So, Jason can use the one sample z-test for a mean to determine the balance of his retirement account will be in one month.

The correct option is (2).

7 0

4 years ago

Simplify and round the expression below. C isn’t necessary to answer

myrzilka [38]

11.3057558 is the answer when you multiply/add/subtract it all.

6 0

3 years ago

Find the median, range and mode of this numbers 3,6,9,7,4,6,7,0,7

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

3 0

3 years ago

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