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docker41
1 month ago
15

A research team has developed a face recognition device to match photos in a database. From laboratory tests, the recognition ac

curacy is 92% and trials are assumed to be independent.
(a) If the research team continues to run laboratory tests, what is the mean number of trials until failure?
(b) What is the probability that the first failure occurs on the tenth trial? Round your answer to four decimal places.
(c) To improve the recognition algorithm, a chief engineer decides to collect 6 failures. How many trials are expected to be needed? Round your answer to one decimal place
Mathematics
1 answer:
Zina [12.3K]1 month ago
5 0

Answer:

a) The average number of trials until failure is calculated as 1/p = 1/(1-0.92) = 12.5

b)

Probability = (0.92)^9 * 0.08 = 0.6624

c)

The anticipated number of trials required = 6/0.08 = 75

Step-by-step explanation:

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Which equation represents a proportional relationship that has a constant proportionality equal to 0.7
zzz [12365]

Response:

first option

Detailed explanation:

The equation expressing a proportional relationship is

y = kx ← with k as the proportional constant

Here k takes the value of 0.7, hence

y = 0.7x ← represents the required equation

Given

\frac{y}{x} = \frac{7}{10} (cross-multiply)

10y = 7x (dividing both sides by 10)

y = \frac{7}{10} x = 0.7 x ← emerges as the needed equation

8 0
10 days ago
Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KN and KL
Leona [12618]

Answer:

KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47

Step-by-step explanation:

Given:

KL ║ NM,

LM = 45

m∠M = 50°

KN ⊥ NM  

NL ⊥ LM

To determine: KN and KL

1. Analyzing triangle NLM, we see it is a right triangle due to NL ⊥ LM. In this context,

LM = 45

m∠M = 50°

Consequently,

\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}

It is also true that

(angles LNM and M are complementary).m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ}

2. Now considering triangle NKL, it also forms a right triangle as KN ⊥ NM. Within this triangle,

NL=45\tan 50^{\circ}

m\angle KLN=m\angle LNM=40^{\circ} (alternate interior angles)

m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ} (angles KNL and KLN are complementary).

Thus,

\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08

and

\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47

3 0
29 days ago
Read 2 more answers
A low-strength children’s/adult chewable aspirin tablet contains 81 mg of aspirin per tablet. How many tablets may be prepared f
Svet_ta [12734]

Answer:

From 1 kg of aspirin, a total of 12,345 tablets can be produced.

Step-by-step explanation:

This query mentions that low-strength chewable aspirin tablets for children and adults contain 81 mg of aspirin each, asking how many tablets can be made from 1 kg of aspirin.

Considering the weight of a tablet measured in kg, we start by converting 81 mg to kg.

Each kg equals 1,000,000 mg. Hence

1 kg - 1,000,000 mg

x kg - 81 mg.

1,000,000x = 81

x = \frac{81}{1,000,000}

Therefore, x = 0.000081 kg.

Each tablet essentially contains 0.000081 kg of aspirin. To find out how many tablets this yields from 1 kg of aspirin:

1 tablet - 0.000081 kg

x tablets - 1 kg

0.000081x = 1

x = \frac{1}{0.000081}

Thus, x = 12,345 tablets.

Therefore, a total of 12,345 tablets can be manufactured from 1 kg of aspirin.

4 0
1 month ago
Answer true or false. If​ false, explain briefly. ​a) Some of the residuals from a least squares linear model will be positive a
babunello [11817]
It's false due to the squares being reduced to their minimum values.
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George has 15$. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but
zzz [12365]
George mistakenly added instead of subtracting.
4 0
28 days ago
Read 2 more answers
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