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Ostrovityanka [42]
3 years ago
6

Ind.

Mathematics
2 answers:
bezimeni [28]3 years ago
8 0

Answer:

  D.  0.87, -1.54

Step-by-step explanation:

The easiest method I know is to let a graphing calculator show you the solutions. The graph shows solutions to be approximately -1.54 and 0.87.

S_A_V [24]3 years ago
4 0

Answer:

x=-\frac{1-\sqrt{13} }{3} ,-\frac{1+\sqrt{13} }{3}

0.87, -1.54

Step-by-step explanation:

3x^2+2x-4=0

Use the quadratic formula:

x=\frac{-b+\sqrt{b^2-4ac} }{2a} ,\frac{-b-\sqrt{b^2-4ac} }{2a}

x=\frac{-2+\sqrt{2^2-4*3*-4} }{2*3} ,\frac{-2-\sqrt{2^2-4*3*-4} }{2*3}

Simplify:

x=\frac{-2+2\sqrt{13} }{6} ,\frac{-2-2\sqrt{13} }{6}

x=-\frac{1-\sqrt{13} }{3} ,-\frac{1+\sqrt{13} }{3}

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Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a
spin [16.1K]

Answer:

Mean = 68.9

s^2 =18.1 --- Variance

Step-by-step explanation:

Given

\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5

For 59 - 66

x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5

For 67 - 74

x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5

For 75 - 82

x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5

For 83 - 90

x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5

So, the table becomes:

\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}

The mean is then calculated as:

Mean = \frac{\sum fx}{\sum f}

Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}

Mean = \frac{2547.5}{37}

Mean = 68.9 -- approximated

Solving (b): The sample variance:

This is calculated as:

s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}

So, we have:

s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}

s^2 =\frac{652.8}{36}

s^2 =18.1 -- approximated

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4 years ago
Of all 25 marbles in a bag, 3 of the marbles
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Step-by-step explanation:

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3 years ago
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