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3 years ago

8.2cm in millimeters

Mathematics

1 answer:

leonid [27]3 years ago

6 0

The answer would be 82 millimeters!

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A federal report found that a lie detector test given to someone telling the truth will suggest that they lied in about 20% of c

aleksley [76]

Answer:

$0.055$

Step-by-step explanation:

Let $p$ be the probability of lying an applicant, so, $p=20 \%$ .

$\Rightarrow p=\frac {20}{100}=\frac {1}{5}\;\cdots (i)$

Any applicant will either lie or will tell the truth.

Let $q$ be the probability of telling the truth, so, $q= 1-\frac {1}{5}$

$\Rightarrow q=\frac {4}{5}$

As for every applicant $p+q=1$ , so this is Bernoullies trials, for which

the probability of success of exactly $x$ times of an event out of $n$ trials is $P(x)=\binom {n}{x} p^xq^{n-x}\; \cdots (iii)$ .

Now, let $E$ be the event of at least one of the applicants is lying out of $11$ applicants, here the total number of applicants, $n=11$ .

So, $P(E)= P(x=1)+ P(x=2)+\cdots+ P(x=11)$

This is equivalent to

$P(E)=1-P(x=0)$ as $[P(x=0)+P(x=1)+ P(x=2)+\cdots+ P(x=11)=1]$

Now, from equation (iii),

$P(E)=1-\binom {11}{0} p^0q^{11-0}$

$\Rightarrow P(E)=1-11\left(\frac {1}{5}\right)^0\left(\frac {4}{5}\right)^{11}$ [from equations s (i) and (ii)]

$\Rightarrow P(E)=1-11\times 1 \times \left(\frac {4}{5}\right)^{11}$

$\Rightarrow P(E)=1-0.945$ (approx)

$\Rightarrow P(E)=0.055$

Hence, the probability that the lie detector indicates that at least one of the applicants is lying is $0.055.$

7 0

3 years ago

Question 4 (True/False Worth 5 points)

Alexandra [31]

False

Step-by-step explanation:

3^2+5^2=9^2

9+25=81

34 doesn't equal 81 so its false

4 0

3 years ago

Read 2 more answers

Surveyors wished to know the distance across a lake between A and B. They measured the distance from B to C as 100 m and the ang

kherson [118]

Answer:

Step-by-step explanation:

Check the attachment for the diagram.

You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;

tan 35° = opposite/adjacent

tan 35° = AB/BC

tan 35° = AB/100

AB = 100tan35°

AB = 100 * 0.7002

AB = 70.02m

Hence the distance across a lake between A and B is approximately 70m

5 0

3 years ago

How to find the square root in long division method for 5.4289

sladkih [1.3K]

<h2>The Square root of 5.4289 is 2.33</h2>

(explanation attached)

6 0

2 years ago

Write prime factorizations of the number 18.

Nat2105 [25]

Answer:

18 is a composite number. 18 = 1 x 18, 2 x 9, or 3 x 6. Factors of 18: 1, 2, 3, 6, 9, 18.

Prime factorization: 18 = 2 x 3 x 3, which can also be written 18 = 2 x 3²

<em>hope the answer helped:)</em>

4 0

3 years ago