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Goryan [66]
3 years ago
6

What is the sum of 2/5 and 3/4 what is the answer​

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0

Answer:

23/20 or 1 and 3/20

Step-by-step explanation:

Make sure they have the same common denominator. For 5 and 4, 20 would be the Least Common Denominator.

so 2/5=8/20 and 3/4=15/20

Add 8+15 and you get 23 so 23/20 you can leave it so or switch it to a mixed number 1 3/20

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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
Please Help!!! . . . . .
Ede4ka [16]
PEMDAS. parenthesis, exponents, multiple or divide (whichever come first from left to right), add or subtract (whichever comes first from left to right)

So first do stuff in parenthesis.
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8 0
2 years ago
The sum of <br> 19<br> and Goran's age is <br> 62<br> .
sergey [27]
43 is the answer 62-19= 43
6 0
3 years ago
The table below represents a linear function f(x) and the equation represents a function g(x):
Aneli [31]
Slope of f(x)


Slope of g(x)


PART A)
The slopes of f(x) and g(x) are the same.

PART B)
The equation for line f(x)
y = 4x + b
-1 = 4(0) + b
-1 = b

y = 4x - 1

The function G(x) has a bigger y-intercept. The y-intercept of g(x) is 3, while the y-intercept of f(x) is -1.
4 0
3 years ago
Problem Page Ann will run more than 38 miles this week. So far, she has run 21 miles. What are the possible numbers of additiona
krok68 [10]
She has run 21 miles already. Let t be the number of additional miles added on. 

In total, she has run t+21 miles 

This is going to be set greater than 38 since "Ann will run more than 38 miles"

So we have this inequality

t+21 > 38

we solve for t by subtracting 21 from both sides

t+21 > 38
t+21-21 > 38-21
t+0 > 17
t > 17

The final answer is t > 17

which means that the possible additional number of miles she could run is anything larger than 17. So t = 18 is one possibility. 
8 0
3 years ago
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