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BabaBlast [244]
3 years ago
5

If a cooler contains six cola, two grape, two orange, and four lemon-lime sodas, what is the probability of selecting a cola, gi

ving it to your friend, then selecting another cola for yourself?
Mathematics
1 answer:
frutty [35]3 years ago
6 0

Answer:

ok so first of all there is 14 sodas in the cooler(6+2+2+4)

and 6 of these 14 are cola 6/14 or 3/7

so 3/7 then to give your self one we multiple it by 3/7

3/7*3/7=0.18367346938

we multiple by 10

18.367346938

so the probility is 18.37%

Hope This Helps!!!

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A well known pharmaceutical manufacturer is manufacturing a newly developed vaccine, and is concerned about variability in the i
Lana71 [14]

Answer:

a

The  null hypothesis is H_o :  \  \sigma^2 =  1.9

The alternative hypothesis is  H_a :  \  \sigma^2 \ne 1.9  

b

 X^2 =  13.74

c

The decision rule is  

Reject the null hypothesis

d

The conclusion is  

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

Step-by-step explanation:

From the question we are are told that

   The variance is \sigma ^2 =  1.9

    The sample size is  n =  30  

    The  sample variance  is  s^2 = 0.9

    The level of significance is  \alpha  =  0.05

   

The  null hypothesis is H_o :  \  \sigma^2 =  1.9

The alternative hypothesis is  H_a :  \  \sigma^2 \ne 1.9  

Generally the test statistics  is mathematically represented as

          X^2 = \frac{ (n- 1 ) * s^2 }{ \sigma^2 }

=>       X^2 = \frac{ (30 - 1 ) * 0.9 }{1.9  }

=>       X^2 =  13.74

Generally  from the degree of freedom is mathematically represented as

         df =  n- 1

=>      df =   30 - 1

=>      df =   29

Generally from the chi distribution table the critical value of  \frac{\alpha}{2}  \   and  \   1 - \frac{ \alpha }{2} at a degree of freedom  of  df =   29 is  

       X^2 _{ \frac{\alpha }{2} ,  df } =  X^2 _{ \frac{0.05 }{2}  , 29 }  =  45.7

=>     X^2 _{ 1 - \frac{\alpha }{2} ,  df } =  X^2 _{1 -  \frac{0.05 }{2}  , 29 }  =  16.0 5

Gnerally from the values obtained we see that

         X^2 <  X^2 _{ 1 - \frac{\alpha }{2}  ,  df } hence

The decision rule is  

Reject the null hypothesis

The conclusion is  

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

6 0
3 years ago
Find the slope of the line passing through each of the following pairs of points.
ArbitrLikvidat [17]

Answer:

0

Step-by-step explanation:

m= y2-y1/x2-x1

=0-0/-3-5

=0/-8

=0

7 0
3 years ago
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Simora [160]
8 if not then i’m sorry
8 0
3 years ago
Add Linear Expression. (8x + 9 ) + (- 6x -2 )
BartSMP [9]

Answer:

2x+7 is the answer......

8 0
3 years ago
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Andres company manufactures rectangular storage sheds decisions are made with aluminum side panels that measure 8 feet 10 feet 1
UkoKoshka [18]
We know that

The formula for combinations is<span>
C=n!/[(n-r)!*r!]
where
n is the total number of objects you choose from
r is the number that you choose to arrange

in this problem
n=4 </span>aluminum side panels measures

r=2 aluminum side panels measures

<span> C=4!/[(4-2)!*2!]-----> C=4!/[2!*2!]---> (4*3*2!)/(2!*2*1)
C</span>=6

1) 8 ft x 10 ft

2) 8 ft x 12 ft

3)8 ft x 15 ft

4) 10 ft x 12 ft

5) 10ft x 15 ft

6) 12 ft x 15 ft

additionally, we have each measure with itself

7) 8 ft x 8 ft

8) 10 ft x 10 ft

9) 12 ft x 12 ft

10) 15 ftx 15 ft


the answer is

10 possible sets

4 0
3 years ago
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