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coldgirl [10]
2 years ago
7

Louise's family traveled 3 10 of the distance to her grandmother's house on Saturday. They traveled 4 7 of the remaining distanc

e on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?
Mathematics
1 answer:
Ludmilka [50]2 years ago
7 0

Answer:

4/10

Step-by-step explanation:

Louise's family traveled 3/10 of the distance to her grandmother's house on Saturday.

Let us represent total distance = 1

The remaining distance left is calculated as:

1 - 3/10

Lowest common denominator = 10

= 10 - 3/10 = 7/10

They traveled 4/7 of the remaining distance on Sunday.

This is calculated as:

= 4/7 × 7/10

= 4/10

What fraction of the total distance to her grandmother's house was traveled on Sunday?

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Step-by-step explanation:

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An arcade booth at a county fair has a person pick a coin from two possible coins available and then toss it. If the coin chosen
nydimaria [60]

Answer:

<em>b. 0.6024</em>

Step-by-step explanation:

<u>Conditional Probability</u>

Suppose two events A and B are not independent, i.e. they can occur simultaneously. It means there is a space where the intersection of A and B is not empty:

P(A\cap B) \neq 0

If we already know event B has occurred, we can compute the probability that event A has also occurred with the conditional probability formula

\displaystyle P(A|B)=\frac{P(A\cap B)}{P(B)}

Now analyze the situation presented in the question. Let's call F to the fair coin with 50%-50% probability to get heads-tails, and U to the unfair coin with 32%-68% to get heads-tails respectively.

Since the probability to pick either coin is one half each, we have

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P(F\cap H)=0.5\cdot 0.5=0.25

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P(U\cap H)=0.32\cdot 0.5=0.16

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The closest answer is

b. 0.6024

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3 years ago
For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a bico
Licemer1 [7]
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3 years ago
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\bf 3x+4y=9\implies 4y=-3x+9\implies y=-\cfrac{3x+9}{4}\implies y=\stackrel{slope}{-\cfrac{3}{4}}x+\cfrac{9}{4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{4}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{4}{3}}\qquad \stackrel{negative~reciprocal}{+\cfrac{4}{3}}\implies \cfrac{4}{3}}


so we're really looking for the equation of a line whose slope is 4/3 and runs through 8, -4.


\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{-4})~\hspace{10em} slope =  m\implies \cfrac{4}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{4}{3}(x-8) \implies y+4=\cfrac{4}{3}x-\cfrac{32}{3} \\\\\\ y=\cfrac{4}{3}x-\cfrac{32}{3}-4\implies y=\cfrac{4}{3}x-\cfrac{44}{3}

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3 years ago
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