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Blababa [14]
3 years ago
8

How can 29 over 9 be expressed as a decimal?

Mathematics
2 answers:
serious [3.7K]3 years ago
8 0

well first put it  as a fraction so 29/9 and then divide which would give u the answer of 3.2  i hoped i helped

4vir4ik [10]3 years ago
6 0

you put 29 divided my 9 and that gives you your decimal so it would be 3.2

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(43 points) In the US, 85% of the population has Rh positive blood. Suppose we take a random sample of 6 persons and let Y denot
VladimirAG [237]

Answer:

a) Binomial distribution with parameters p=0.85 q=0.15 n=6

b) 62.29%

c) 2.38%

d) See explanation below

Step-by-step explanation:

a)

We could model this situation with a binomial distribution

P(6;k)=\binom{6}{k}p^kq^{6-k}

where P(6;k) is the probability of finding exactly k people out of 6 with Rh positive, p is the probability of finding one person with Rh positive and q=(1-p) the probability of finding a person with no Rh.

So

\bf P(Y=k)=\binom{6}{k}(0.85)^k(0.15)^{6-k}

b)  

The probability that Y is less than 6 is

P(Y=0)+P(Y=1)+...+P(Y=5)

Let's compute each of these terms

P(Y=0)=P(6;0)=\binom{6}{0}(0.85)^0(0.15)^{6}=1.139*10^{-5}

P(Y=1)=P(6;1)=\binom{6}{1}(0.85)^1(0.15)^{5}=0.0000387281

P(Y=2)=P(6;2)=\binom{6}{2}(0.85)^2(0.15)^{4}=0.005486484

P(Y=3)=P(6;3)=\binom{6}{3}(0.85)^3(0.15)^{3}=0.041453438

P(Y=4)=P(6;4)=\binom{6}{4}(0.85)^4(0.15)^{2}=0.176177109

P(Y=5)=P(6;5)=\binom{6}{5}(0.85)^5(0.15)^{1}=0.399334781

and adding up these values we have that the probability that Y is less than 6 is

\sum_{i=1}^{5}P(Y=i)=0.622850484\approx 0.6229=62.29\%

c)

In this case is a binomial distribution with n=200 instead of 6.

p and q remain the same.

The mean of this sample would be 85% of 200 = 170.  

In a binomial distribution, the standard deviation is  

s = \sqrt{npq}

In this case  

\sqrt{200(0.85)(0.15)}=5.05

<em>Let's approximate the distribution with a normal distribution with mean 170 and standard deviation 5.05</em>

So, the approximate probability that there are fewer than 160 persons with Rh positive blood in a sample of 200 would be the area under the normal curve to the left of 160

(see picture attached)

We can compute that area with a computer and find it is  

0.0238 or 2.38%

d)<em> In order to approximate a binomial distribution with a normal distribution we need a large sample like the one taken in c).</em>

In general, we can do this if the sample of size n the following inequalities hold:

np\geq 5 \;and\;nq \geq 5

in our case np = 200*0.85 = 170 and nq = 200*0.15 = 30

4 0
3 years ago
Starting salaries of 90 college graduates who have taken a statistics course have a mean of $43,993 and a standard deviation of
Rufina [12.5K]

Answer: attached below

Step-by-step explanation:

5 0
3 years ago
Cousin Hector drove 1,851 miles to the reunion. He lives in Mexico and drove 747 miles through that country to the United States
Sonja [21]

Answer:

1104 miles

Step-by-step explanation:

Say he lives in a place in Mexico which is at a distance of <em>a </em>miles from the Mexico-America border point and the reunion is at <em>b </em>miles from the same border point, in America.

So the total distance travelled is ( a + b ) miles

( this is just sum of distance travelled in Mexico + that in America )

Given , a=747 and a+b=1851

that implies:

747 + b = 1851

So, b = 1104 miles.

Therefore he has travelled 1104 miles in America,

3 0
3 years ago
On a number line, which fraction is to the right of 3/5 ?
Snezhnost [94]

Answer:

B

Step-by-step explanation:

i think

4 0
3 years ago
You are installing a new pre-constructed fence in front of your house. each fence section measures 4 ½ feet wide, and each end w
irga5000 [103]
Since, each side of the fence should have the 1 3/4 feet wide decorative piece, the width of the fence should be subtracted by 2 pieces (1 3/4 feet)
                                 = 26.5 feet
Then, divide the remaining width by 4.5 feet and the answer is 5.88. Thus, approximately 5 pieces of the 4 1/2 feet should be installed. 
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2 years ago
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