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Cerrena [4.2K]
3 years ago
15

To get ready for the big community bake sale a baker is baking cookies.For his first batch he makes 48 cookies second 78 cookies

third 54 cookies and fourth 68 cookies what is the mean?
Mathematics
1 answer:
mina [271]3 years ago
6 0

Answer:

62

Step-by-step explanation:

To find the mean, add the numbers together and divide the sum by the total amount of numbers.

\frac{48+78+54+68}{4} =62

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12x-39<9 and -4x+3<-6
gulaghasi [49]
Remember, you can do anything to an equation as long as you do it to both sides


and when multiply or divide by a negative in inequalities, flip the direction of the sign

12x-39<9
add 39 to both sides
12x<48
divde bothh sides by 12
x<4



-4x+3<-6
minus 3 both sides
-4x<-9
times both sides by -1 and flip sign
4x>9
divide both sides by 4
x>9/4
4 0
4 years ago
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A same side interior angle of two parallel lines is three times the other same side interior angle. Find the measures of these t
Charra [1.4K]

Answer:

<em>45 and 135</em>

Step-by-step explanation:

The sum of any interior angles will be 180 so you divide 180 by 4. And you get <em>45</em> then you multiply that by 3 and you get <em>135</em>

5 0
3 years ago
Plz help , due in 5 mins ​
Grace [21]

Answer:

option a) 30 : 19

Step-by-step explanation:

Length = 7 \frac{1}{2} = \frac{15}{2}\\\\Width = 4\frac{3}{4} = \frac{19}{4}

<em><u>Ratio of length to width:</u></em>

      \frac{15}{2} : \frac{19}{4}<em><u></u></em>

    =\frac{\frac{15}{2}}{\frac{19}{4}}\\\\=\frac{15}{2 } \times \frac{4}{19}\\\\=15\times \frac{2}{19}\\\\=\frac{30}{19}\\\\30 : 19

3 0
3 years ago
Two hundred undergraduate students were randomly selected from a university that has 47,000 students in total. Systolic blood pr
Hoochie [10]

Answer:

The  correct option is d

Step-by-step explanation:

From the question we are told that

    The  population size is  N  =  47000

    The  sample size is  n  =  200

     The  sample mean is   \= x  =  118.0 \ mmHg

     The  standard deviation is  \sigma  =  11.0 \ mmHg

     

Given that the confidence level is  95% then the level of significance can be calculated as

                     \alpha  =  100 -  95

                    \alpha  =  5 \%

                      \alpha  =  0.05

Next we obtain the critical value of  \frac{\alpha }{2} from  z-table , the value is  Z_{\frac{\alpha }{2}  } =  Z_{\frac{0.05 }{2}  } = 1.96

The reason we are obtaining critical value of   \frac{\alpha }{2} instead of    \alpha is because  

 \alpha represents the area under the normal curve where the confidence level interval (   1-\alpha) did not cover which include both the left and right tail while  

 \frac{\alpha }{2}  is just the area of one tail which what we required to calculate the margin of error .

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

  Generally the margin of error is mathematically represented as

            E  =  Z_{\frac{\alpha }{2} } *\frac{\sigma }{ \sqrt{n} }

substituting values

           E  =  1.96 *\frac{11.0  }{ \sqrt{200} }

           E  = 1.5245

The  95% confidence level interval is mathematically represented as

       \= x  -  E < \mu < \= x  +  E

substituting values

       118.0   -  1.5245 < \mu < 118.0   +  1.5245

        116.5< \mu < 119.5

         [116.5 , 119.5]

 

6 0
3 years ago
Mallory works 20 hours a week as a website designer and earns $42.50 per hour. If Mallory saves
AleksandrR [38]
If Mallory makes $42.50 per hour and she works 20 hours a week, we multiple those two and we get:

42.5 * 20 = 850

So she earns $850 per week.

Mallory saves half of that amount she would have $425 per week.

In 4 weeks she would have:

425 * 4 = 1700

Mallory will save $1,700 in four weeks.
3 0
3 years ago
Read 2 more answers
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