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Gennadij [26K]
3 years ago
10

2.1, -2.1, 2 and 2 1/11, -2 from least to greatest show work

Mathematics
1 answer:
netineya [11]3 years ago
4 0
So first, we know negatives are the least. comparing, -2 and -2.1, we can obviously see that -2.1 comes first
so we have -2.1, -2

then, the positives. you have 2.1, 2, and 2 1/11 first we know 2 is the least of them. so now we just need to figure out if 2.1 is greater than or less than 2 1/11. we can convert the decimal to a fraction. so 2.1 is 2 1/10 and 1/10 is greater than 1/11. so it goes 2, 2 1/11, 2.1

then putting it all together: -2.1, -2, 2, 2 1/11, 2.1
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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 o
Cerrena [4.2K]

Answer:

a) No 95% of values will fall between (24;64); 68,27% will fall between (34;54)

b)71,83 % will fall between 34 and 64 ounces

Step-by-step explanation:

Empirical rule establishes, for a  normal distribution with mean μ and σ as standard deviation:

In interval   μ  ±  σ    or   ( μ  +  σ ;  μ  -  σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would  be values below the mean

Therefore in our case

μ  +  σ  =  44 + 10  =  54

And

μ  -  σ  = 44 - 10   = 34

a) Then  68,34 % of values will fall in this interval

We know now that value 34 is 1* σ   below the mean, and is at the limit of 34,14 %

b) μ  +  2*σ  =   44 * 2*10  =  44 + 20  =  64

64 is the upper limit for the interval   μ  +  2*σ  and we know that 95.45 % of all values will fall between (  μ  -  2*σ  ;  μ  +  2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %

Then in interval going from ( 34 ; 64 ) we shoud find 47.73 + 34,14

71,83 % of all values will fall between 34 and 64

7 0
3 years ago
What is -9/2+5/12 dhdjjxjxjxjxjxjjx
Scrat [10]

Answer:

-4 1/12.

Step-by-step explanation:

-9/2 + 5 /12

The Lowest Common denominator is 12 so we have:

-54/12 + 5/12

= -49/12

=  -4 1/12.

7 0
3 years ago
What is the mean of the values in the dot plot? Enter your answer in the box. A number line ranging from 15 to 25 with one dot o
solmaris [256]
The mean of a dataset is the all members of the dataset added together and then divided by the number of members in the set. From your description of the number line, I've created a list of members.

16, 17, 17, 17, 17, 19, 19, 19, 19, 21, 22, 22, 23, 25

Adding all members of this set up produces the value 273. There are 14 members in the set, so 273 / 14 = 19.5. Thus, the mean of the set is 19.5

4 0
3 years ago
Read 2 more answers
Find the taxable income of a married couple with two children, who have a combined income of $75,000.
Dima020 [189]

Answer:

$47,200

Step-by-step explanation:

Given :

The total income of a married couple =  $75,000.

Number of children = 2

Therefore to find the taxable income of  a U.S.  family is given by the following formula ---

taxable income = total income- exemption deduction - standard deduction

We know that exemption deduction for a U.S couple as fixed by the government is $15,600.

And the standard deduction for a U.S couple as fixed by the government is $12,200.

Thus in order to find the taxable income of the couple, use the formula

taxable income = total income- exemption deduction - standard deduction

                          = $75,000 - $15,600 - $12,200

                          = $47,200.

Thus the taxable income is $47,200.

8 0
3 years ago
What minus 31 equals to 213
faltersainse [42]

Answer:

244?

Step-by-step explanation:

7 0
3 years ago
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