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jolli1 [7]
3 years ago
7

Evaluate 12x−3y12x−3y when x=−14x=−14 and y=3 Help.

Mathematics
2 answers:
Citrus2011 [14]3 years ago
5 0
12x-3y12x-3y                             (x=-14x=-14 or x=1) and( y=3)
12(1)-3(3)12(1)-3(3)
12-9*12-9
12-108-9
96-9
87
Nonamiya [84]3 years ago
4 0
12*-14-3*3*12*-14- 3*3
168+1512-9
1671
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A function f is differentiable for all values of x in [0,6], and the graph with equation y=f(x) has a local minimum point at (2,
MrRa [10]

Step-by-step explanation:

The slope of tangent line at a max or a minimum is 0,.

So using point slope formula.

y - 4 = 0(x - 2)

y = 4

Is the equation of a tangent line. This means we have a horizontal line at y= 4. Horizontal lines have a slope of 0.

4 0
2 years ago
What is the lowest form of 32:28?​
BartSMP [9]

Answer:

to lowest terms of 32:28 is 8/7 or 8:7

Step-by-step explanation:

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3 years ago
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
gizmo_the_mogwai [7]

Answer:

The large sample n = 1713.96

Step-by-step explanation:

<u>Explanation</u>:-

given the population proportion was estimated to be 0.22

population proportion (P) = 0.22

The 95 % level of significance = 1.96≅ 2

The margin of  error = 0.02

The formula of margin error

                                   \frac{2\sqrt{p(1-p)} }{\sqrt{n} } = 0.02    …  ( i )

Substitute 'p' values in equation (1)

\frac{2\sqrt{0.22(1-0.22)} }{\sqrt{n} } = 0.02

cross multiplication and simplification, we get

2X0.414= 0.02 \sqrt{n}

\frac{2X0.414}{0.02} = \sqrt{n}

41.4 = \sqrt{n}

squaring on both sides, we get

the large sample n = 1713.96

7 0
3 years ago
Bob Nale is the owner of Nale's Texaco GasTown. Bob would like to estimate the mean number of litres (L) of gasoline sold to his
Fudgin [204]

Answer:

a

  The point estimate of the population mean is  \= x  =  56

b

  The 80% confidence level is  50.57 <  \mu  < 61.43

c

  There is  80% confidence that the true population mean lies within the confidence interval.

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  18

   The  standard deviation is  \sigma  =  18 \ L

   The  sample mean is  \= x  =  56

Generally the point estimate of the population mean is equivalent to the sample mean whose value is  \= x  =  56

Given that the confidence interval is 80% then the level of significance is mathematically represented as

      \alpha  =  100 -  80

      \alpha =  20 \%

      \alpha = 0.20

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

 The  value is   Z_{\frac{ \alpha }{2} } =  1.28

 Generally the margin of error is mathematically evaluated as

          E =  Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }

=>       E =  1.28 * \frac{18 }{\sqrt{18} }

=>       E =  5.43

     Generally the 80% confidence interval is mathematically represented as

    \= x  - E  <  \mu  < \= x  + E

=>    56  - 5.43  <  \mu  < 56  + 5.43

=>   50.57 <  \mu  < 61.43

The  interpretation is that there is  80% confidence that the true population mean lies within the limit

3 0
3 years ago
When calculating interest accrued, you should ____.
Ber [7]

Answer:

(B)

Step-by-step explanation:

Interest accrued is defined as the interest which we need to pay at the end of some time span. The interest accrued may be on daily basis as well as on monthly basis.

For calculating the interest accrued, we first multiply the principal amount with  APR, this will give the interest of one year.

Then we will multiply it with the  no. of months on which the interest is being calculated and divide it by total no. of months.

This will give the interest accrued every month.

When calculating interest accrued, you should <u>multiply the principal by the APR and number of months, then divide by the total number of months in the year.</u>

4 0
3 years ago
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