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2 years ago

True or False - All whole numbers are integers but not all integers are whole numbers

Mathematics

2 answers:

musickatia [10]2 years ago

7 0

Answer:

True

Step-by-step explanation:

the picture is the explanation and pretty much sus everything up about integers

Cloud [144]2 years ago

4 0

Answer:

false

correct me if i'm wrong :]

You might be interested in

The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen

vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. 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.

In this problem we have that:

$p = 0.75$

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ . So

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

$P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581$

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$

$P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)$

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

$P(X = 16) = C_{20,16}.(0.75)^{16}.(0.25)^{4} = 0.1897$

$P(X = 17) = C_{20,17}.(0.75)^{17}.(0.25)^{3} = 0.1339$

$P(X = 18) = C_{20,18}.(0.75)^{18}.(0.25)^{2} = 0.0669$

$P(X = 19) = C_{20,19}.(0.75)^{19}.(0.25)^{1} = 0.0211$

$P(X = 20) = C_{20,20}.(0.75)^{20}.(0.25)^{0} = 0.0032$

$P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1897 + 0.1339 + 0.0669 + 0.0211 + 0.0032 = 0.4148$

c. If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

$E(X) = np$

In this question, we have $n = 22$

$E(X) = 22*0.75 = 16.5$

The closest integer to 16.5 is 17.

7 0

3 years ago

Find the area and perimeter of the following

suter [353]

Answer:

Perimeter is 8x²y+26x

Area is 52x³y

Step-by-step explanation:

The perimeter is 2W+2L and area is LW

Perimeter:

2(4x²y)+2(13x)

8x²y+26x

Area:

(4x²y)(13x)

52x³y

3 0

2 years ago

a sculpture an art museum is in the shape of a triangular pyramid the area of the base of the sculpture is 15 square meters and

strojnjashka [21]

Volume = 2×7×3.5 = 49 feet3

4 0

3 years ago

Draw the two-dimensional shape<br> that makes up the faces of this<br> solid shape.

Art [367]

Answer:

like this?

Step-by-step explanation:

5 0

2 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A construction

charle [14.2K]

Answer:

$y=\frac{11}{20}x+6$

Step-by-step explanation:

Given:

Two points are given

x = number of minutes

y = length of the lin

$(x_{1},y_{1} )$ ⇒ (0, 6)

$(x_{2},y_{2} )$ ⇒ (20, 17)

We need to find the equation that represents the relationship between x, y.

Solution:

Using slope formula to find the slope of the equation of the line.

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute $(x_{1},y_{1} )$ = (0, 6) and $(x_{2},y_{2} )$ = (20, 17) in above equation.

$m=\frac{17-6}{20-0}\\m=\frac{11}{20}$

So, slope of the line $m = \frac{11}{20}$

Using point slope formula.

$(y-y_{1})=m(x-x_{1})$ ------------(1)

Where, m = slope of the line

Substitute $(x_{1},y_{1} )$ ⇒ (0, 6) and $m = \frac{11}{20}$ in equation 1.

$(y-6)=\frac{11}{20} (x-0)$

$y-6=\frac{11}{20}x$

Add 6 both side of the equation.

$y-6+6=\frac{11}{20}x+6$

$y=\frac{11}{20}x+6$

Therefore, the equation that represents the relationship between x and y is written as:

$y=\frac{11}{20}x+6$

6 0

3 years ago