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uysha [10]
3 years ago
5

Of the cartons produced by a company, 8% have a puncture, 7% have a smashed corner, and 0.7% have both a puncture and a smashed

corner. Find the probability
that a randomly selected carton has a puncture or a smashed corner.

%.

The probability that a randomly selected carton has a puncture or a smashed corner

(Type an integer or a decimal. Do not round.)
Mathematics
1 answer:
Viktor [21]3 years ago
5 0

Answer:

The probability that a randomly selected carton has a puncture or a smashed corner is 0.143

Step-by-step explanation:

we know that P(A∪B) = P(A) + P(B) - P(A∩B).

    since given that P(A) = Probability of getting puncture = 0.08

                                P(B) = probability of getting smashed corner = 0.07

                       P(A∩B) = probability of getting both puncture and smashed corner = 0.007

                    P(A∪B) = probability of getting any of them

   so P(A∪B) = 0.08 + 0.07 -0.007 = O.143

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Novay_Z [31]
So 12 mins to 600 feet
35 mins=1900 feet
find the slope which is change in top over change in bottom (aka slope) so to find do
(y1-y2)/(x1-x2)
we want, per minute, so put the time as x1 and x2
x1=12
y1=600
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subsitutte
(600-1900)/(12-35)=-1300/-23=56.5 per minute
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4 0
3 years ago
Miguel is 8 years older than half of Chen's age. If Chen is 20 years old, how can Miguel's age be
EleoNora [17]

Answer:

A) Divide 20 by 2 and then add 8 to the result

Step-by-step explanation:

\frac{20}{2}+8=10+8=18

8 0
3 years ago
Find the missing dimension of the prism. Round your answer to the nearest hundredth.
Nitella [24]

Answer:

x = 6.99in

Step-by-step explanation:

Given

l =2in

Volume = 72.66in^3

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

Base\ Area= \frac{3\sqrt 3}{2}l^2

This gives:

Base\ Area= \frac{3\sqrt 3}{2} * 2^2

Base\ Area= \frac{3\sqrt 3}{2} * 4

Base\ Area= 3\sqrt 3 * 2

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So, we have:

Volume = Base\ Area*x

Make x the subject

x = \frac{Volume }{ Base\ Area}

x = \frac{72.66in^3}{6\sqrt 3 in^2}

x = \frac{72.66}{6\sqrt 3}in

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3 years ago
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Each element of the matrix are multiplied by the scalar to form a matrix of

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Reasons:

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Using the multiplication of a matrix and a scalar, we have;

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Therefore;

60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]

Learn more about matrices here:

brainly.com/question/14296012

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