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3 years ago

9, 3, 1, 7, 1, 44 Mean ?? Mode ?? Median ??

Mathematics

2 answers:

sleet_krkn [62]3 years ago

7 0

Answer:

Step-by-step explanation:

mean: $\frac{65}{6}$

mode:1

median:5

erastovalidia [21]3 years ago

4 0

Answer:

Mean: 10.83

Mode: 1

Median: 5

Step-by-step explanation:

I did mean as a decimal but you might have to change that if your teacher doesn't prefer it as decimals

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suppose the cooking time for a particular recipe varies inversely with the temperature of the oven. if the recipe takes 60 minut

Zielflug [23.3K]

Answer:

It would take 34.29 minutes at 200 degree.

Step-by-step explanation:

Given that,for a particular recipe the cooking time(t) varies inversely with the temperature(T) of the oven.

t∝T

$\therefore \frac{t_1}{t_2}=\frac{T_1}{T_2}$

The recipe takes 60 minutes to cook at a degree temperature of 350 degree,

t₁= 60 minutes, T₁= 350 degree, t₂=?, T₂=200 degree.

$\therefore \frac{t_1}{t_2}=\frac{T_1}{T_2}$

$\frac{60}{t_2}=\frac{350}{200}$

$\Rightarrow t_2\times 350=200\times 60$

$\Rightarrow t_2=\frac{200\times 60}{350}$

$\Rightarrow t_2\approx 34.29$

It would take 34.29 minutes at 200 degree.

4 0

4 years ago

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

Karolina [17]

Answer:

0.685 = 68.5% probability that X is less than 30 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

If X has an average value of 26 minutes

This means that $m = 26, \mu = \frac{1}{26}$

What is the probability that X is less than 30 minutes?

$P(X \leq 30) = 1 - e^{-\frac{30}{26}} = 0.685$

0.685 = 68.5% probability that X is less than 30 minutes

8 0

3 years ago

Find the equation of the line Perpendicular to y=2/3x+2 and passes through the point (3,4)

Vanyuwa [196]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check firstly what's the slope of the equation above hmmmm

$\bf y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{2}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{3}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{3}{2}}}$

so we're really looking for the equation of a line whose slope is -3/2 and runs through (3,4)

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{4})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{3}{2}}(x-\stackrel{x_1}{3}) \implies y-4=-\cfrac{3}{2}x-\cfrac{9}{2} \\\\\\ y=-\cfrac{3}{2}x-\cfrac{9}{2}+4\implies y = -\cfrac{3}{2}x-\cfrac{1}{2}$