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IRISSAK [1]
3 years ago
7

These marbles are placed in a bag and two

Mathematics
1 answer:
Anika [276]3 years ago
3 0

Answer:

Pr = \frac{1}{45}

Step-by-step explanation:

Given

Black =5

Pink = 2

Blue = 3

Required

P(Pink\ and\ Pink)

This is calculated as:

Pr = P(Pink) * P(Pink)

Because it is a selection without replacement, the probability is:

Pr = \frac{n(Pink)}{Total} * \frac{n(Pink) - 1}{Total - 1}

Pr = \frac{2}{10} * \frac{2 - 1}{10 - 1}

Pr = \frac{2}{10} * \frac{1}{9}

Pr = \frac{1}{5} * \frac{1}{9}

Pr = \frac{1}{45}

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Which of the following give an equation of a line that passes through the point (6/5,-19,5) and is parallel to the line that pas
Ilya [14]
Parallel lines, have the same slope, so the slope of the line through 0,0 and -2,-12, is the same as for the line running through (6/5,-19.5) as well, so what is it anyway?

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 0}}\quad ,&{{ 0}})\quad 
%   (c,d)
&({{ -2}}\quad ,&{{ -12}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-12-0}{-2-0}\implies \cfrac{-12}{-2}\implies 6

so, we're looking for the equation of a line whose slope is 6, and goes through (6/5,-19/5)

\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ \frac{6}{5}}}\quad ,&{{ -\frac{19}{5}}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 6
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-\left( -\frac{19}{5} \right)=6\left(x-\frac{6}{5}  \right)
\\\\\\
y+\cfrac{19}{5}=6x-\cfrac{36}{5}\implies y=6x-\cfrac{36}{5}-\cfrac{19}{5}\implies y=6x-\cfrac{55}{5}
\\\\\\
y=6x-11
6 0
3 years ago
The perimeter of a rectangle must be less than 156 feet. If the length is known to be 66 feet, find the range of possible widths
balu736 [363]

x = perimeter

x<156

length = 66

so, in order to calculate perimeter you need to add two lengths and two widths

so

156 (perimeter) - 2 (66) = two widths

156 - 132 = 24 (remember this number is two widths added together)

so 24 twice the width SO 12 would be the number that the width can't be larger than

the width has to be less than 12

w < 12

5 0
3 years ago
The scores of high school seniors on the act college entrance examination in a recent year had mean μ = 20.8 and standard devia
natka813 [3]

To solve this problem, we make use of the z statistic. The formula for z score is:

z = (x – μ) / s

where,

x = is the sample score = 21 or higher

μ = the population mean = 20.8

s = the standard deviation = 4.8

 

Solving for the z score:

z = (21 – 20.8) / 4.8

z = 0.0417

 

Next step to do is to find for the p value using the standard distribution tables at z = 0.04. Since we are looking for the probability of getting 21 or higher, therefore this is a right tailed test, hence

p = 0.516

<span>So there is about 51.6% that a student will get a score of 21 or greater.</span>

4 0
3 years ago
I don’t know the answer please help me
krek1111 [17]

Answer:

Alternate Interior angle. D.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
X - (6.9) = 42.8<br><br> x = 42.8 +
Harman [31]
I hope this helps you



x=42.8+6.9



x=49.7
4 0
3 years ago
Read 2 more answers
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