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4 years ago

This problem is only for smart kids, all people who dont do it r babies

Mathematics

1 answer:

Phantasy [73]4 years ago

3 0

Answer:

Step-by-step explanation:

∠DAC ≅ ∠ACB because they are opposite interior angles where transversal AC crosses parallel lines BC and AD.

∠DAC ≅ ∠CAB because they are corresponding angles of the similar triangles ΔABC and ΔACD.

Hence ∠ACB ≅ ∠CAB and ΔABC is isosceles with side lengths both being 9. The corresponding side lengths of ΔACD are 12, meaning the base of ΔABC, segment AC, is 12. The scale factor of ΔACD to ΔABC is then 12:9 = 4:3, so the base AD of ΔACD is (4/3)×12 = 16.

So, the side lengths of the trapezoid are ...

AB = 9
BC = 9
CD = 12
DA = 16

and the perimeter is 9 +9 +12 +16 = 46 units.

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You have been hired as the quality control office of a pharmaceutical company that manufactures aspirin tablets. According to th

Firlakuza [10]

Answer:

$P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413$

$P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.$

So then the probability that the batch would be accepeted is:

$0.375413+0.375413=0.7508$

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=24, p=0.04)$

On this case p=0.04 represent the probability that a random the tablet would be NOT accepted

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:

$P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413$

$P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.$

So then the probability that the batch would be accepeted is:

$0.375413+0.375413=0.7508$

3 0

3 years ago

What expressions are equivalent to 20

Diano4ka-milaya [45]

Answer:

What expressions are equivalent to 20

Step-by-step explanation:

since you didn't .show a link this is my guess, i guess.

4x5=20

6 0

3 years ago

When 8 is subtracted from Ollie’s age, the result is the same as subtracting 16 from 3 times his age.

Scilla [17]

X - Ollie's age

8 is subtracted from Ollie's age = x-8
the result is the same as
subtracting 16 from 3 times his age = 3x-16

$x-8=3x-16 \\
x-3x=-16+8 \\
-2x=-8 \\
x=4$

Ollie is 4 years old.

5 0

3 years ago

Read 2 more answers

HELP FAST PLEASEEEEE

White raven [17]

Answer:

The third one

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Determine whether the quantitative variable is discrete or continuous. Number of lightning strikes in a city in one yearnumber o