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sergij07 [2.7K]
3 years ago
14

Simplify all of these

Mathematics
2 answers:
kiruha [24]3 years ago
8 0

Answer:

1) option C, 4b + 4

2) option A, 7x

3) option C, 2a - 12

4) option D, 12x - 6

4vir4ik [10]3 years ago
7 0
4b
7x
5x
6x
their is ur answer
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To vertoes of a rectangle gre
Mariana [72]

Answer:

we have standard deviation of 12 so 298-322 would be 34.1% times 2 which is 68.2%.  We also have 12 more in a lower region and we can use normal distribution to find that it would be 13.6% + 68.2%

Answer is 81.8%

3 0
2 years ago
F(x)x^2-x+3 find f(x+2)
ivolga24 [154]

Answer: =7

Step-by-step explanation:

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2 years ago
Find the measurement of the indicated angle to the nearest degree
MaRussiya [10]

Answer:

42

Step-by-step explanation:

This time, you'll be doing SOH.

sin (x) = 39/59=0.66

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4 0
2 years ago
One environmental group did a study of recycling habits in a California community. It found that 75% of the aluminum cans sold i
AysviL [449]

Answer:

a

  P( \^ p  >  0.775 ) =  0.12798

b

 P( 0.6718 < p  <  0.775 ) =0.87183

Step-by-step explanation:

From the question we are told that

    The population proportion is  p =  0.75

Considering question a  

     The sample size is  n  =  387

Generally the standard deviation of this sampling distribution is  

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

=>      \sigma  = \sqrt{ \frac{0.75(1 - 0.75)}{ 387 } }    

=>      \sigma  = 0.022    

The sample proportion of cans that are recycled is

                 \^ p =  \frac{ 300}{387 }

=>              \^ p =  0.775

Generally the probability that 300 or more will be recycled is mathematically represented as

         P( \^ p  >  0.775 ) =  P( \frac{\^ p  -  p }{ \sigma }  >  \frac{0.775 - 0.75 }{ 0.022} )

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

       P( \^ p  >  0.775 ) =  P( Z >  1.136  )

From the z table  the area under the normal curve to the left corresponding to  1.591   is

      P( Z >  1.136)  = 0.12798

=>    P( \^ p  >  0.775 ) =  0.12798

Considering question b

Generally the lower limit of  sample proportion of cans that are recycled is

                 \^ p_1 =  \frac{ 260 }{387 }

=>              \^ p_1  =  0.6718

Generally the upper limit of  sample proportion of cans that are recycled is

                 \^ p_2 =  \frac{ 300}{387 }

=>              \^ p_2  =  0.775

Generally probability that between 260 and 300 will be recycled is mathematically represented as

           P( 0.6718 < p  <  0.775 ) =  P( \frac{0.6718 - 0.75 }{ 0.022}<  \frac{\^ p  -  p }{ \sigma }

=>      P( 0.6718 < p  <  0.775 ) =  P( -3.55 <  Z < 1.136 )

=>        P( 0.6718 < p  <  0.775 ) = P(Z <  1.136 ) -  P( Z <  -3.55 )

From the z table  the area under the normal curve to the left corresponding to  1.136 and  -3.55  is

       P( Z <  -3.55 ) = 0.00019262

and

       P(Z <  1.136 )  = 0.87202

So

       P( 0.6718 < p  <  0.775 ) =  0.87202-  0.00019262

=>   P( 0.6718 < p  <  0.775 ) =0.87183

4 0
2 years ago
5/6(2x+12)-8=4-(x+1)
alekssr [168]

For this case we have the following equation:

\frac {5} {6} (2x + 12) -8 = 4- (x + 1)

We apply distributive property on the left side of the equation:

\frac {5 * 2} {6} x + \frac {5 * 12} {6} -8 = 4- (x + 1)\\\frac {10} {6} x + \frac {60} {6} -8 = 4- (x + 1)

We simplify the left side of the equation:

\frac {5} {3} x + 10-8 = 4- (x + 1)

Different signs are subtracted and the major sign is placed.

\frac {5} {3} x + 2 = 4- (x + 1)

On the right side we must take into account that:

- * + = -

So:

\frac {5} {3} x + 2 = 4-x-1\\\frac {5} {3} x + 2 = 3-x

We add x to both sides of the equation:

\frac {5} {3} x + x + 2 = 3\\\frac {5 * 1 + 3 * 1} {3} x + 2 = 3\\\frac {5 + 3} {3} x + 2 = 3\\\frac {8} {3} x + 2 = 3

We subtract 2 from both sides of the equation:

\frac {8} {3} x = 3-2\\\frac {8} {3} x = 1

We multiply by 3 on both sides of the equation:

8x = 3

We divide by 8 on both sides of the equation:

x = \frac {3} {8}

Thus, the solution of the equation is:

x = \frac {3} {8}

Answer:

x = \frac {3} {8}

4 0
3 years ago
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