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3 years ago

20) Round each number to the nearest hundreds place.

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

6 0

Answer:

Step-by-step explanation:

X X X X . X X X

^ this is the hundreds place

X X X X . X X X

^ this is the hundredths place

a) 300 Because the place behind it is less than 5.

b) 1300 The place in the tens is 5 or greater.

c) 10,000 The place in the tens is 5 or greater which causes the 9 in the hundreds to go up which also causes the 9 in the thousands to go up as well.

d) 1,100

e) 700

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a certain pharmaceutical company know that, on average 4% of a certain type of pill has an ingredient that is below the minimum

FinnZ [79.3K]

Using the binomial distribution, it is found that there is a 0% probability that fewer that 5 in a sample of 20 pills will be acceptable.

For each pill, there are only two possible outcomes, either it is acceptable, or it is not. The probability of a pill being acceptable is independent of any other pill, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

The sample has 20 pills, hence $n = 20$ .

100 - 4 = 96% are acceptable, hence $p = 0.96$

The probability that fewer that 5 in a sample of 20 pills will be acceptable is:

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

In which

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

$P(X = 0) = C_{20,0}.(0.96)^{0}.(0.04)^{20} = 0$

$P(X = 1) = C_{20,1}.(0.96)^{1}.(0.04)^{19} = 0$

$P(X = 2) = C_{20,2}.(0.96)^{2}.(0.04)^{18} = 0$

$P(X = 3) = C_{20,3}.(0.96)^{3}.(0.04)^{17} = 0$

$P(X = 4) = C_{20,4}.(0.96)^{4}.(0.04)^{16} = 0$

0% probability that fewer that 5 in a sample of 20 pills will be acceptable.

A similar problem is given at brainly.com/question/24863377

8 0

2 years ago

What is the surface area of this right circular cone?

docker41 [41]

Answer:

○ B) 624π mm.²

Step-by-step explanation:

$\pi r(r + \sqrt{ {r}^{2} + {h}^{2}}) = S. A. \\ \\ \pi (12)(12 + \sqrt{{12}^{2} + {40}^{2}}) \\ \\ 12\pi(12 + \sqrt{1744}) = 12\pi(12 + 38) = 12\pi(50) = 600\pi \\ \\ 600\pi ≈ 624\pi$

I am joyous to assist you anytime.

3 0

3 years ago

Please help this was due yesterday!

CaHeK987 [17]

Answer:

a) <

b) <

c) >

d) <

e) >

Step-by-step explanation:

5 0

3 years ago

Which equation is a proportion? 1/3= 1/4 3/4=6/9 5/8=20/32 7/9=21/28

rosijanka [135]

Well, 1/3 is equal to 0.3, and 1/4 is equal to .25, so it can't be a.
3/4 is equal to .75 and 6/9 is equal to 0.6, so it can't be b.
5/8 is equal to 0.625 and 20/32 is also equal to 0.625, so it could be c.
7/9 is equal to 0.7 and 21/28 is equal to 0.75, so it can't be D.
Your best bet is C. Because both sides of C are equal.
C 5/8=20/32

5 0

3 years ago

Set 2 Maths has 30 pupils in it.

Ierofanga [76]

80/100 x 30 = 24 because you just multiply percents

4 0

2 years ago