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dem82 [27]
4 years ago
13

Gavin and Jack are practicing shots against their goalie. On their last 15 attempts, Gavin made 6 and Jack made 7. Based on this

performance, what is the probability that they both make their next shot?
Mathematics
1 answer:
statuscvo [17]4 years ago
5 0

Answer:

\dfrac{14}{75}

Step-by-step explanation:

Gavin made 6 out of 15 shots, so the probability that Gavin's next shot will be  successful is

\dfrac{6}{15}=\dfrac{2}{5}

Jack made 7 out of 15 shots, so the probability that Jack's next shot will be  successful is

\dfrac{7}{15}

The probability that they both make their next shot successfully is

\dfrac{2}{5}\cdot \dfrac{7}{15}=\dfrac{14}{75}

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The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

<h3>What is a right rectangular prism?</h3>

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.

(diagonal)^{2} = (length)^{2} + (width)^{2}

(diagonal)^{2} = (14)^{2} + (13)^{2}

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diagonal = \sqrt{365} = 19.1cm

In conclusion, the length of the longest diameter is 19.1cm

Learn more about Right rectangular prism: brainly.com/question/3317747

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