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ivann1987 [24]
3 years ago
9

What is x? 3x+43=100​

Mathematics
2 answers:
jenyasd209 [6]3 years ago
8 0

Answer:

x = 19

Step-by-step explanation:

Solve for x:

3 x + 43 = 100

Subtract 43 from both sides:

3 x + (43 - 43) = 100 - 43

43 - 43 = 0:

3 x = 100 - 43

100 - 43 = 57:

3 x = 57

Divide both sides of 3 x = 57 by 3:

(3 x)/3 = 57/3

3/3 = 1:

x = 57/3

The gcd of 57 and 3 is 3, so 57/3 = (3×19)/(3×1) = 3/3×19 = 19:

Answer:  x = 19

Aloiza [94]3 years ago
5 0

Answer:

x= 19

Step-by-step explanation:

3x+43= 100

Subtract 43 from both sides.

3x+43= 100

    -43   -43

Then, divide 3 to both sides.

<u>3x</u>= <u>57</u>

3       3

x= 19

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Georgianna claims that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.
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Answer:

The  condition  are

           The  Null hypothesis is  H_o  :  \mu = 5

           The  Alternative hypothesis is  H_a  :  \mu <  5

The  check revealed that

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Step-by-step explanation:

From the question we are told that

     The  population mean is  \mu =  5 \ year

      The sample size is  n =  20

      The sample mean is  \=  x  =  4.6 \  years

       The  standard deviation is \sigma  =  2.2  \ years

   The  Null hypothesis is  H_o  :  \mu = 5

   The  Alternative hypothesis is  H_a  :  \mu <  5

So i will be making use of  \alpha =  0.05 level of significance to test this claim

    The critical value of  \alpha from the normal distribution table is  Z_\alpha  =  1.645

 

Generally the test statistics is mathematically evaluated as

                 t =  \frac{\= x  - \mu}{ \frac{\sigma }{\sqrt{n} } }

substituting values

                 t =  \frac{ 4.6  - 5}{ \frac{2.2}{\sqrt{20} } }

                t =  -0.8131

Looking at the value of  t and Z_{\alpha } we see that  t <  Z_{\alpha } so we fail to reject the null hypothesis  

  This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.

4 0
3 years ago
If f(x) is a function and f(1) = 5, then which of the following could not be true?
vodomira [7]
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5 0
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6 0
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olganol [36]

Answer:

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Step-by-step explanation:

\dfrac{1}{3}x + 6 = 9

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Multiply both sides by 3.

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6 0
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Answer:

Step-by-step explanation:

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2 years ago
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