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Anarel [89]
3 years ago
6

Katherine's paycheck was $436.14. She put 1/3 of her paycheck into a savings acount and used 1/2 for what was left to pay for he

r new phone,
How much money does she have remaining from her paycheck?
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0

Answer:

$145.38

Step-by-step explanation:

436.14-(1/3)(436.14)-(1/2)(436.14) = 145.38

You might be interested in
Which sum is close to 1 0.4+1/2 ,7/8+1/4,4/5+2/3 explain
serg [7]
Presuming the question is "Which sum is closest to 1". 
First, you need to either convert all the fractions to decimals or all the decimals to fractions, then add each pair. 
0.4 + 1/2 = 0.9
7/8 + 1/4 = 1.125
4/5 + 2/3 = 1.466666...
The first one is different from 1 by 0.1. The second is different by 0.125. The third is different by 0.46666.... Therefore, the closest sum is the first, or 0.4 + 1/2

0.4 + 1/2
3 0
3 years ago
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
What is 3/5 / 2/3 how would I get that answer
frozen [14]

Answer: 9/10

Step-by-step explanation:

To get the answer, 3/5 ÷ 2/3

= 3/5 × 3/2

=multiply the numerators: 3 x 3 = 9

Multiply the denominators: 5 x 2= 10

Therefore, the answer is 9/10.

6 0
3 years ago
What is 6- the square root of 25 divided by 4
babymother [125]

Answer:

4.75

Step-by-step explanation:

7 0
3 years ago
What is the explicit formula for this sequence?
o-na [289]
The answer is a
i hope this helps
8 0
3 years ago
Read 2 more answers
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