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amm1812
3 years ago
12

Given this table of values, what is the value of f(-4.5) ? help pelase !!

Mathematics
1 answer:
True [87]3 years ago
7 0

Answer:

12.6

Step-by-step explanation:

f(-4.5) means "what is the y-value when x equals -4.5?"

We see that when x = -4.5, our y or f(x) value is 12.6

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4x - 5= 2(2x - 1) -3
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Answer and Step-by-step explanation:

Solve for x.

Distribute the 2.

4x - 5 = 4x - 2 - 3

Combine like terms

4x - 5 = 4x - 5

Add 5, and subtract 4x.

0 = 0

There are infinitely many solutions, meaning any value plugged in for x will result in the equation being true.

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1.Which equation gives the direct variation if y=8 when x=2?
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3 years ago
An Article a Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the
Sergio039 [100]

Answer:

The estimate is  P__{hat}} \pm E  = 0.37 \pm 0.0348

Step-by-step explanation:

From the question we are told that  

    The sample size is  n =  522

    The sample proportion of students  would like to talk about school is  \r p__{hat}} =  0.37

  Given that the confidence level is  90 % then the level of significance can be mathematically evaluated as

                  \alpha  =  100 - 90

                  \alpha  =  10\%

                  \alpha  =  0.10

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

               Z_{\frac{\alpha }{2} } =Z_{\frac{0.10}{2} } =  1.645

Generally the margin of error can be mathematically represented as

               E =  Z_{\frac{\alpha }{2} } *  \sqrt{\frac{\r P_{hat}(1- \r P_{hat} )}{n } }

=>            E = 1.645 *  \sqrt{\frac{0.37 (1- 0.37  )}{522 } }

=>             E = 0.0348

Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is  

                       P__{hat}} \pm  E

substituting values

                     0.37 \pm 0.0348

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