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ELEN [110]
2 years ago
13

Write the inequality given in the diagram below

Mathematics
1 answer:
DanielleElmas [232]2 years ago
8 0

Answer:

x < 2

Step-by-step explanation:

the open circle above 2 on the number line indicates that x cannot equal 2

the arrow points left indicating values of x are less than 2 , that is

x < 2

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He is 26 years old because 13 + 13 = 26

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Jeri is a hairdresser. The table below shows the relationship between the number of clients she has per month, x, and her monthl
LenaWriter [7]
The given data is

  x       f(x)
----  --------
12          0
20     800
30    1800

where
x = number of clients per month
f(x) = monthly revenue

A graph of the data is shown below.
Let the equation of the line be
y = mx + c

The x-intercept is 12, therefore
12m + c = 0              (1)

The line passes through (30, 1800) and (12,0). Therefore the slope is
m = 1800/(30-12) = 100       (2)

From (1), obtain
c = -12m = -12*100 = -1200

Therefore
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3 0
3 years ago
A polling organization announces that the proportion of American voters who favor congressional term limits is 64%, with a 95% c
EastWind [94]

Answer:

Hence when C.I. is 80% then Margin of error will be 1.9591%

Step-by-step explanation:

Given:

1st Margin of error(MOE)=3%

1st C.I.=95%

2nd C.I.=80%

To Find:

MOE at 80%

Solution:

The proportion is 64 % i.e. is constant for both MOE

Proportion is given by (P),

P=x/n

Where x= favors congressional terms

n= total voters or sampled voters.

There values are same or constant.

i.e standard deviation is also constant

Now Formula for MOE is given by

MOE=Z*[Standard devation/Sqrt(n)]

here Z is value for confidence interval

MOE is directly proportional to the Z-value

So

MOE=K*Z-value         ... where k is proportionality constant.

MOE/Z-value              ....ratio is constant

So , for 95 % Z=1.96 and for 80% Z=1.28

MOE(1st)/(Z-value 1st)=MOE(2nd)/(Z-value 2nd)

3/1.96=MOE(2nd)/1.28

MOE(2nd)=(3/1.96)*1.28

MOE(2nd)=1.5306*1.28

=1.9591 %

5 0
3 years ago
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