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4 years ago

5 degrees below zero

Mathematics

2 answers:

lana [24]4 years ago

8 0

5 degrees below zero would just simply be -5

xz_007 [3.2K]4 years ago

3 0

Answer:

5 degrees below zero = -5 degrees

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A telephone exchange operator assumes that 8% of the phone calls are wrong numbers. If the operator is right, what is the probab

Vera_Pavlovna [14]

Answer:

The probability that the sample proportion differ from the population proportion by greater than 3% is 0.0241.

Step-by-step explanation:

Let X = number of phone calls that are wrong numbers.

The proportion of phone calls that are wrong numbers is, p = 0.08.

A sample of n = 421 phone calls is selected to determine the proportion of wrong numbers in this sample.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of a Binomial distribution is:

$P(X=x)={421\choose x}0.08^{x}(1-0.08)^{421-x}$

Now, for the sample proportion to differ from the population proportion by 3% the value of the sample proportion should be:

$\hat p-p=0.03\\\hat p-0.08=0.03\\\hat p=0.11$ $\hat p-p=-0.03\\\hat p-0.08=-0.03\\\hat p=0.05$

So when the sample proportion is less than 5% or greater than 11% the difference between the sample proportion and population proportion will be greater than 3%.

If sample proportion is 5% then the value of X is,

$X=np=421\times 0.05=21.05\approx21$

Compute the value of P (X ≤ 21) as follows:

$P(X\leq 21)=\sum\limits^{21}_{x=0}{{421\choose x}0.08^{x}(1-0.08)^{421-x}}=0.0106$

If the sample proportion is 11% then the value of X is,

$X=np=421\times 0.11=46.31\approx47$

Compute the value of P (X ≥ 47) as follows:

$P(X\geq 47)=\sum\limits^{471}_{x=47}{{421\choose x}0.08^{x}(1-0.08)^{421-x}}=0.0135$

Then the probability that the sample proportion differ from the population proportion by greater than 3% is:

$P(\hat p-p>0.03)=P(X\leq 21)+P(X\geq 47)=0.0106+0.0135=0.0241$

Thus, the probability that the sample proportion differ from the population proportion by greater than 3% is 0.0241.

7 0

3 years ago

The set of integers is closed under the operation of addition.

Brut [27]

Answer:

A: 2+27=29

B: The sum of the integers 2 and 27 is the integer 29, which demonstrates that integers are closed under addition.

Step-by-step explanation:

Since, closed property of addition for a set A is defined as,

∀ x, y ∈ A ⇒ x + y ∈ A,

∵ Set of integer is closed under multiplication,

If Z represents the set of integer,

Then 2, 27 ∈ Z ⇒ 2 + 27 = 29 ∈ Z,

Hence, the equation illustrates given statement,

2+27 = 29

The statement that correctly explains given statement,

The sum of the integers 2 and 27 is the integer 29, which demonstrates that integers are closed under addition.c

6 0

3 years ago

The ratio of destroyers to battleships in the navy is 10:40.What fraction of the total number of boats is the number of destroye

Readme [11.4K]

Answer:

10:40 = 10/40 = 1/4 of the boats are destroyers

Step-by-step explanation:

I hope this helps! Have a nice day!

5 0

3 years ago

Read 2 more answers

Mr. Takaya can eat three slices of pizza in five minutes. If he continues to eat at the same rate, how many slices

Anna [14]

Answer:

18.

Step-by-step explanation:

3 x 6 = 18. He eats 3 slices every 5 minutes so 5 minutes x 6 is half an hour. so 18 is your answer.

6 0

3 years ago

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A circus has 12 performers, of which 3 are dancers.

Soloha48 [4]

Answer:

1/4

Step-by-step explanation:

Divide 12 by 4 to get the chance to pick a dancer

3 0

3 years ago