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2 years ago

I have to determine the length please show me the steps

Mathematics

1 answer:

iogann1982 [59]2 years ago

8 0

Answer:

c = 11.03 m

Step-by-step explanation:

In this given <em>right isoceles triangle</em>, one of the sides are labeled as 7.8 m. We'll label this side as "a."

The length of side "a" is congruent to the other side. Therefore, the measurement of the other side is also 7.8 m.

We can use the Pythagorean Theorem to solve for the measurement of the hypotenuse, side "c."

According to the Pythagorean Theorem: $c^{2} = a^{2} + a^{2}$ .

We'll plug in the values for side "a" and side "b" into the formula:

$c^{2} = a^{2} + a^{2}$

$c^{2} = 2a^{2}$

$c^{2} = 2(7.8 m)^{2}$

$c^{2} = 121.68 m^{2}$

To calculate the value of "c," we must take the squared root of $2a^{2}$ :

$\sqrt{c^{2}} = \sqrt{121.68}$

c = 11.03087 m or 11.03 m

By the way, the value of c = <em>a </em> $\sqrt{2}$

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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".

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

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

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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:

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

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