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kow [346]
4 years ago
10

Solve and explain #7 a)

Mathematics
2 answers:
saveliy_v [14]4 years ago
6 0
Its 5 because it sas to count faces there are 5 faces on a cube
yanalaym [24]4 years ago
6 0
It says that to find the length of an edge and area of a face . The cube has a volume as 1000cm3. since it's a cube it is much easier . A cube all same length meaning we have to find a number that is multiplied by it self to give u 1000.
so, i.e. x times x times x =1000
x^3=1000
x= cube root of 1000
which is 10.
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Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that
amm1812

Answer:

The value is  P(| \^ p -  p| < 0.05 ) = 0.9822

Step-by-step explanation:

From the question we are told that

    The population proportion is  p =  0.52

     The sample size is  n  =  563      

Generally the population mean of the sampling distribution is mathematically  represented as

           \mu_{x} =  p =  0.52

Generally the standard deviation of the sampling distribution is mathematically  evaluated as

       \sigma  =  \sqrt{\frac{ p(1- p)}{n} }

=>      \sigma  =  \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }

=>      \sigma  =   0.02106

Generally the  probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

            P(| \^ p -  p| < 0.05 ) =  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 ))

  Here  \^ p is the sample proportion  of persons with a college degree.

So

 P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma }  < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )

Here  

    \frac{[\^p - p] - p}{\sigma }  = Z (The\ standardized \  value \  of\  (\^ p - p))

=> P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 }  <  Z  < \frac{-0.47 + 0.52}{0.02106 }]

=> P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[ -2.37 <  Z  < 2.37 ]

=>  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(Z <  2.37 ) - P(Z < -2.37 )

From the z-table  the probability of  (Z <  2.37 ) and  (Z < -2.37 ) is

  P(Z <  2.37 ) = 0.9911

and

  P(Z <  - 2.37 ) = 0.0089

So

=>P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) =0.9911-0.0089

=>P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = 0.9822

=> P(| \^ p -  p| < 0.05 ) = 0.9822

3 0
4 years ago
Find the product.<br><br> (3x2+6x-5)(-3x)<br><br> PLEASE HELP!!! ASAP!!!
nekit [7.7K]

Answer:

\boxed{-9x^3-18x^2 + 15x}

Step-by-step explanation:

(3x²+6x-5)(-3x)

Apply distributive law.

-3x(3x²)-3x(6x)-3x(-5)

Simplify.

-9x³ - 18x² + 15x

8 0
3 years ago
Read 2 more answers
A dolphin was swimming 28 meters below the oceans surface.it changed its depth to avoid a predator and ended up 21 meters below
Harman [31]

Answer:

+7

Step-by-step explanation:

if you go from 28 to 21 you see there is a difference of 7 and sense the number is a smaller number now we know the dolphin went up more towards the surface there for there is a change of positive 7

28-21=7

6 0
3 years ago
Domesticated animals were primarily valued for meat.<br> true or false
I am Lyosha [343]

Answer:

False

Step-by-step explanation:

Hope this helps :)

4 0
3 years ago
5x-2 can someone find the value.
Reptile [31]

Answer:

around 3

Step-by-step explanation:

A solution to an equation is a number that can be plugged in for the variable to make a true number statement. Example 1: Substituting 2 for x in. 3x+5=11. gives.

7 0
3 years ago
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