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Allushta
7 days ago
13

Find the value of the linear correlation coefficient r. The paired data below consist of the temperatures on randomly chosen day

s and the amount a certain kind of plant grew (in millimeters). Temperature 62 76 50 51 71 46 51 44 79 Growth 36 39 50 13 33 33 17 6 16 Question options
Mathematics
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A train station has installed a system for determining whether bags contain explosives. It has a 95% chance of correctly identif
PIT_PIT [12445]
a) P(identified as explosive) equals P(actual explosive & identified as explosive) + P(not explosive & identified as explosive) = (10/(4*10^6))*0.95+(1-10/(4*10^6))*0.005 = 0.005002363. Thus, the probability that it actually contains explosives given that it's identified as containing explosives is (10/(4*10^6))*0.95/0.005002363 = 0.000475. b) Let the probability of correctly identifying a bag without explosives be a. Therefore, a = 0.99999763, approximately 99.999763%. c) No, even if this becomes 1, the true proportion of explosives will always be below half of the total detected.
3 0
2 months ago
There are 345 students at a college who have taken a course in calculus, 212 who have taken a course in discrete mathematics, an
AnnZ [12381]

Answer:

There are 369 students who enrolled in either calculus or discrete mathematics.

Step-by-step explanation:

I'll create a Venn diagram to illustrate these figures.

Let’s define:

A represents the count of students who completed calculus.

B stands for those who took discrete mathematics.

We have the following:

A = a + (A \cap B)

Here, a denotes the students who studied calculus exclusively, while A \cap B represents those who took both subjects.

Using the same reasoning:

B = b + (A \cap B)

There are 188 students taking both calculus and discrete mathematics.

This implies that A \cap B = 188

A total of 212 students studied discrete mathematics.

<pBased on this, B = 212

345 students have attended a calculus course.

<pSo, from this information, A = 345

We find the total number of students who took either calculus or discrete mathematics.

(A \cup B) = A + B - (A \cap B) = 345 + 212 - 188 = 369

A total of 369 students participated in either calculus or discrete mathematics.

4 0
3 months ago
Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x,y,z) so that ∫uyly∫uzlz∫uxlxdxdzdy
Leona [12618]

Answer:

Hello! Your question appears to be missing details; here is the complete version

Ix = 0   Ux = \sqrt{y-9z^2}

Iz = 0   Uz = \frac{\sqrt{y} }{3}

Iy = 5   Uy = 10

Step-by-step explanation:

Ix = 0   Ux = \sqrt{y-9z^2}

Iz = 0   Uz = \frac{\sqrt{y} }{3}

Iy = 5   Uy = 10

This provides a comprehensive solution below

4 0
2 months ago
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