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alisha [4.7K]
3 years ago
9

The sun of 2 numbers is 39 and their difference is 5. What is the larger number? Please also explain HOW TO get that answer!!!!

PLSSS ‍♀️
Mathematics
1 answer:
viktelen [127]3 years ago
8 0
Sum means add
x+y=39
difference is 5
x-y=5
so we do this
x-y=5
add y to both sides
x=5+y
subsitute 5+y for x
5+y+y=39
add like terms
5+2y=39
subtract 5
2y=34
divide by 2
y=17
subsitute
x=5+y
x=5+17
x=22

the larger number is 22
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The sample size is  n  = 600

Step-by-step explanation:

From the question we are told that

    The  sample proportion is  \r  p = 0.48

     The  margin of error is  MOE  =  0.04

Given that the confidence level is 95%  the level of significance is mathematically represented as

        \alpha  =  100 - 95

        \alpha  =  5 \%

        \alpha  =  0.05

Next  we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the values is

                   Z_{\frac{\alpha }{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

Generally the margin of error is mathematically represented as

      MOE  =  Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{\r p(1-  \r p )}{n} }

substituting values

          0.04= 1.96*  \sqrt{ \frac{0.48(1-  0.48 )}{n} }

         0.02041 = \sqrt{ \frac{0.48(52 )}{n} }

         0.02041 = \sqrt{ \frac{ 0.2496}{n} }

          0.02041^2  = \frac{ 0.2496}{n}

           0.0004166 = \frac{ 0.2496}{n}

=>       n  = 600

   

5 0
3 years ago
in the figures below the cube shaped box is 6 inches wide and the rectangular box is 10 inches long 4 inches wide and 4 inches h
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<span>The cube’s sides measures 6 inches and the measurement for the rectangular box is that it is 10 inches long, 4 inches thick and 4 inches high. To compute for the volume of a cube you must use the formula of V = a3 and for the rectangular prism is V = l x w x h.</span>
<span>Cube:    V = 6^3
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<span>Rectangular Prism:       V = 10 x 4 x 4</span> <span>             
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To identify how much greater the volume the cube from the rectangular box we subtract their volumes.
N = C – R where N stands for the unknown C for the volume of cube and R for the volume of Rectangular Box <span>
N = 216 inches^3 – 160 inches^3
</span> <span>N = 56 inches^3</span> <span>
So the cube is 56 inches3 greater than the rectangular box.</span>


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