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Scrat [10]
3 years ago
5

P(A)=0.40 p(b)= 0.50 p(A and b) = 0.10 what is p(b/A)? plz help​

Mathematics
1 answer:
yawa3891 [41]3 years ago
3 0

Answer:

The answer is C, 0.25.

Step-by-step explanation:

In order to find the probability of (B | A), you need to use this formula:

Conditional Probability (A has already occured)

P(B | A) = P(A and B)

                     -------

                      P(A)

If you subsitute in the values you get this:

P(B | A) = 0.10

               ------

               0.40

0.1 divided by 0.4 is equal to 0.25.

 

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2 years ago
Find the system determinant of the given matrix.<br><br>FAST please.
cricket20 [7]

Answer:

the answer is -30

Step-by-step explanation:

| 2 4 |

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= - 18 - 12

= -30

7 0
3 years ago
What is the slope of this line of best fit?
Bas_tet [7]

Answer:

The slope of the line of best fit is \frac{-6}{7}  ⇒ 2nd option

Step-by-step explanation:

The formula of the slope of a line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

<em>To find the slope of the best line fit choose two points their positions make the number of the points over the line equal to the number of the points below the line</em>

From the attached graph points (1 , 9) and (8 , 3) are the best choice

∵ The line passes through points (1 , 9) and (8 , 3)

∴ x_{1} = 1 and x_{2} = 8

∴ y_{1} = 9 and y_{2} = 3

- Substitute them in the formula of the slope

∴ m=\frac{3-9}{8-1}=\frac{-6}{7}

∴ The slope of the line of best fit is \frac{-6}{7}

6 0
3 years ago
Find the sum of a finite geometric series. The Smiths spent $2,000 on clothes in a particular year. If they increase the amount
boyakko [2]

\bf \stackrel{\textit{first year}}{2000}~~,~~\stackrel{\textit{second year}}{2000+\stackrel{\textit{10\% of 2000}}{\frac{2000}{10}}}\implies 2200

now, if we take 2000 to be the 100%, what is 2200? well, 2200 is just 100% + 10%, namely 110%, and if we change that percent format to a decimal, we simply divide it by 100, thus \bf 110\%\implies \cfrac{110}{100}\implies 1.1.

so, 1.1 is the decimal number we multiply a term to get the next term, namely 1.1 is the common ratio.

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\a_1=2000\\r=1.1\\n=4\end{cases}\\\\\\S_4=2000\left[ \cfrac{1-(1.1)^4}{1-1.1} \right]\implies S_4=2000\left(\cfrac{-0.4641}{-0.1}  \right)\\\\\\S_4=2000(4.641)\implies S_4=9282

7 0
3 years ago
Please solve card 6!
olasank [31]

Answer:

×=30⁰ :)

Step-by-step explanation:

x⁰+(x+30⁰)= 90⁰

x⁰+x⁰= 90⁰-30⁰=60⁰

2x⁰=60⁰

60⁰÷2=30⁰ => x⁰=30⁰

verification:

30⁰+(30⁰+30⁰)=90⁰

6 0
3 years ago
Read 2 more answers
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