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elixir [45]
3 years ago
9

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
Minchanka [31]3 years ago
4 0

Answer:

Step-by-step explanation:

2k+10   | Both terms share the common factor two, so you can take it out (divide both terms by 2)

2(k+5)  | Now if you use the Distributive Property to double check, you get 2k+ 10 again

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1) You are attending the first Lil Baby concert after quarantine. There are two levels, one level
Ksenya-84 [330]

Answer:

Total number of people in the concert

= 186

Step-by-step explanation:

There are 80 people in level 2

Then in level one

The dimensions of the room are 62 feet by 31 feet.

15 people fit in a 3 feet by 6 feet space.

Area of the room= 62*31= 1922 feet²

area of 15 people space= 3*6= 18 feet²

To know how many 15 people we get in the 2nd level

=Area of room/area of 15 people space

= 1922/18

= 106.77

= 106 (we round down because this is human being.)

Total number of people in the concert

= 106+80

= 186

8 0
3 years ago
The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that
Harman [31]

Answer:

The calculated value  t = 1.3788 < 2.0262 at 0.05 level of significance

the null hypothesis is accepted

There  is no significant difference between  their counterparts across the nation

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the U.S residents  = 1.65

Given that the size of the sample 'n' = 38

Mean of the sample = 1.84

Given that the standard deviation of the sample (S) = 0.85

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:</em></u>H₀:

There  is no significant difference between  their counterparts across the nation

<u><em>Alternative Hypothesis:-</em></u>H₁:

There  is  a significant difference between  their counterparts across the nation

Test statistic

                t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

               t = \frac{1.84-1.65}{\frac{0.85}{\sqrt{38} } }

              t =  1.3788

Degrees of freedom

                ν = n-1  = 38-1 = 37

t₀.₀₅ ,₃₇ =    2.0262

The calculated value  t = 1.3788 < 2.0262 at 0.05 level of significance

Null hypothesis is accepted

<u><em>Final answer:-</em></u>

There  is no significant difference between  their counterparts across the nation.

5 0
3 years ago
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