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3 years ago

Is .325 rational or irrational

Mathematics

2 answers:

kirill115 [55]3 years ago

7 0

Answer:

Rational

Step-by-step explanation:

since you can write it as a fraction 13/40 it’s rational

if this was helpful please mark it brainliest

MrRa [10]3 years ago

7 0

Answer:

rational

Step-by-step explanation:

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A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 stude

Mkey [24]

Answer:

(a) Probability that 2 or fewer will withdraw is 0.2061.

(b) Probability that exactly 4 will withdraw is 0.2182.

(c) Probability that more than 3 will withdraw is 0.5886.

(d) The expected number of withdrawals is 4.

Step-by-step explanation:

We are given that a university found that 20% of its students withdraw without completing the introductory statistics course.

Assume that 20 students registered for the course.

The above situation can be represented through binomial distribution;

$P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......$

where, n = number of trials (samples) taken = 20 students

r = number of success

p = probability of success which in our question is probability

that students withdraw without completing the introductory

statistics course, i.e; p = 20%

Let X = Number of students withdraw without completing the introductory statistics course

So, X ~ Binom(n = 20 , p = 0.20)

(a) Probability that 2 or fewer will withdraw is given by = P(X $\leq$ 2)

P(X $\leq$ 2) = P(X = 0) + P(X = 1) + P(X = 2)

= $\binom{20}{0} \times 0.20^{0} \times (1-0.20)^{20-0}+ \binom{20}{1} \times 0.20^{1} \times (1-0.20)^{20-1}+ \binom{20}{2} \times 0.20^{2} \times (1-0.20)^{20-2}$

= $1 \times1 \times 0.80^{20}+ 20 \times 0.20^{1} \times 0.80^{19}+ 190\times 0.20^{2} \times 0.80^{18}$

= 0.2061

(b) Probability that exactly 4 will withdraw is given by = P(X = 4)

P(X = 4) = $\binom{20}{4} \times 0.20^{4} \times (1-0.20)^{20-4}$

= $4845\times 0.20^{4} \times 0.80^{16}$

= 0.2182

(c) Probability that more than 3 will withdraw is given by = P(X > 3)

P(X > 3) = 1 - P(X $\leq$ 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

= $1-(\binom{20}{0} \times 0.20^{0} \times (1-0.20)^{20-0}+ \binom{20}{1} \times 0.20^{1} \times (1-0.20)^{20-1}+ \binom{20}{2} \times 0.20^{2} \times (1-0.20)^{20-2}+\binom{20}{3} \times 0.20^{3} \times (1-0.20)^{20-3})$

= $1-(1 \times1 \times 0.80^{20}+ 20 \times 0.20^{1} \times 0.80^{19}+ 190\times 0.20^{2} \times 0.80^{18}+1140\times 0.20^{3} \times 0.80^{17})$

= 1 - 0.4114 = 0.5886

(d) The expected number of withdrawals is given by;

E(X) = $n\times p$

= $20 \times 0.20$ = 4 withdrawals

3 0

4 years ago

Assuming cos t = .45 and cos w = .89, both t and w are positive, and both t and w determine a terminal point in quadrant 4, then

FromTheMoon [43]

Assuming both angles indicate a point on the unit circle in quadrant 1, which is described in polar coordinates as having a range of 0 to pi/2 or 0 to 90 degrees, the cosine of a value decreases as angle increases. Naturally, since cos t = 0.45 and cos w = 0.89, cos t < cos w, therefore t > w.

6 0

4 years ago

Read 2 more answers

Use <, >, or = to compare the following decimals 4.06 4.4 0.50 0.5 5.99 9.21

Gnesinka [82]

Answer:

9.21>5.99>.5=.50>4.4>4.06

4 0

3 years ago

A survey questioned 4,000 community members about how a certain parcel of land should be used (for

Anuta_ua [19.1K]

Using it's concept, it is found that the sample proportion for this population is of 0.4.

The estimate of the sample proportion for a population is given by the number of desired outcomes divided by the size of the sample.

In this problem:

1,599 of those surveyed responded in favor of the park.

The sample size is of 4,000.

Hence:

$p = \frac{1599}{4000} = 0.4$

The sample proportion for this population is of 0.4.

A similar problem is given at brainly.com/question/14510808

4 0

2 years ago

A rectangular fish tank is 2m long, 1m wide and 1m deep. How many litres of water will it hold?

siniylev [52]

Answer:

2000 litres

Step-by-step explanation:

find the volume

v =2m×1m×1 m

= 2 m3

1m3 =1000litres

2m3=????

cross multiply

2m3 ×1000litres

1m3

Ans = 2000litres

3 0

3 years ago