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3 years ago

A bottle holds 2 ounces of pixie dust. How many bottles can we fill with 13 ounces of pixie dust?

Mathematics

2 answers:

sergij07 [2.7K]3 years ago

8 0

Only 6 as 6*2=12 and it says FILL. So 7 is 1 ounce too many as 7*2=14.

andrey2020 [161]3 years ago

4 0

6 and a half bottles of pixi dust

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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

5 0

2 years ago

6^2r=800 round it to the nearest hundreth

kogti [31]

Question: solve for r: 6 ^ (2r) = 800

Answer: 1.87

Step-by-step explanation:

6 ^ (2r) = 800

log(6 ^ (2r)) = log(800)

2r log(6) = log(800)

r = log(800) / (2 log(6))

r = 1.86537641979

round

r = 1.87

log can be any logarithm function.

6^(2×1.86) = 784.734328546

6^(2×1.87) = 813.365367336

7 0

3 years ago

Solve for the value of X. -4x + 3 = 35

Stella [2.4K]

Answer:

-8

Step-by-step explanation:

4 0

2 years ago

How to Find x value: 9-0.75(x+8)-5=-6.5

Dahasolnce [82]

Here's how to find the value of x:

9 - 0.75 ( x + 8 ) - 5 = -6.5 find the difference of 9 - 0.75

8.25 ( x + 8 ) - 5 = -6.5 add 5 to both sides

8.25 ( x + 8 ) = -1.5 distribute 8.25 to x and 8

8.25x + 66 = -1.5 subtract 66 from both sides

8.25x = -67.5 divide both sides by 8.25

x = 18.18181818...... the value of x is 18 2/11

hope this helps

8 0

3 years ago

What is the same as 2/3

Paul [167]

Answer:

4/6 and 6/9 us simlar as 2/3

7 0

2 years ago

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