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Lesechka [4]
3 years ago
13

List the elements of the set, then indicate the cardinality of the set. HINT [See Example 2.] (Enter your answers as a comma-sep

arated list. Enter your answers from smallest to largest.) A = {k | k is a positive integer and 8 < k < 16}.
Mathematics
1 answer:
Gnom [1K]3 years ago
7 0

Answer:

Elements of the set: 9,10,11,12,13,14,15

Cardinality of the set: 7

Step-by-step explanation:

Firstly the set describes that A contains the values of k which are positive integers only.

Secondly it limits the values of k to be between 8 and 16, exclusive of both upper and lower limits.

Therefore we list all positive integers between 8 and 16 i.e. 9,10,11,12,13,14,15

Finally, we count the numbers of elements in the set which is also known as cardinality of the set i.e. 7 for our given set.

You might be interested in
Find the volume of given solid.plz give explaination.​
lara31 [8.8K]

Answer:

480 cm^3

Step-by-step explanation:

Total volume is the sum of the volumes of the 3 cuboids.

Cuboid at the bottom:

V = l×b×h

V = 12 × 5 × 4 = 240

Both on top are identical.

Their height is 10-4= 6 cm

Each has volume = 5×4×6 = 120

Total Volume = 240 + 120 + 120

= 480 cm^3

7 0
3 years ago
Let p be the population proportion for the following condition. Find the point estimates for p and q. In a survey of 1226 adults
weeeeeb [17]

Answer:

(a)0.3303

(b)0.6697

Step-by-step explanation:

Point estimation is the use of sample data to calculate a single value which serves as a best estimate of a given unknown population parameter.

Total Sample=1226

Number who said that they were not confident that the food they eat in country A is safe=405.

The point estimate of those who said that they were not confident that the food they eat in country A is safe is given as \^{p}

(a)Point Estimate for p,

\^{p}=\frac{405}{1226} =0.3303

(b)Point estimate for q, \^{q}=1- (point estimate for p)

=1-0.3303

=0.6697

8 0
3 years ago
A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele
liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of Americans are afraid of being alone in a house at night.

This means that p = 0.05

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0
4 years ago
Answer These Questions and show your work to be brainliest
Andre45 [30]
1.     20 of 40 is 50%      20/40 = 1/2    1/2 = 50%

2.  It is 20% because 600 is 20% of 3000

3.   40% of 30 = 12   50 = 15    10% = 3 (get it)

4, 40% of 65 = 26    50%= 32.5 (get it)
3 0
4 years ago
Laura's credit card balance this month is​ $449.00. Her APR​ (annual percentage​ rate) is 14.8​ %. The minimum payment due is​ $
Darya [45]

Credit Card Balance: $449.00


Interest Rate: 14.8%


Minimum Payment: $15.00



It will take Laura 3 years, and 2 months to pay off the balance. The total interest would be $114.50






Hope that helps!!!!! (Answer: 3 years and 2 months it will take Laura to pay entire balance on credit card.).


4 0
4 years ago
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