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2 years ago

Plz help asap with explanation and will get the brilliant

Mathematics

2 answers:

Elina [12.6K]2 years ago

8 0

3x + y = -3
-2x + y = 7
Use elimination method
Subtract both equations
5x = -10, x = -2
Plug in -2 for x (any equation)
3(-2) + y = -3
-6 + y = -3
y = 3

Solution: x = -2, y = 3
Or as a coordinate: (-2, 3)

Lina20 [59]2 years ago

3 0

Answer:

(-2,3)

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

This is a conditional probability exercise.

Let's name the events :

I : ''A person is infected''

NI : ''A person is not infected''

PT : ''The test is positive''

NT : ''The test is negative''

The conditional probability equation is :

Given two events A and B :

P(A/B) = P(A ∩ B) / P(B)

$P(B) >0$

P(A/B) is the probability of the event A given that the event B happened

P(A ∩ B) is the probability of the event (A ∩ B)

(A ∩ B) is the event where A and B happened at the same time

In the exercise :

$P(I)=0.025$

$P(NI)= 1-P(I)=1-0.025=0.975\\P(NI)=0.975$

$P(PT/I)=0.904\\P(PT/NI)=0.041$

We are looking for P(I/PT) :

P(I/PT)=P(I∩ PT)/ P(PT)

$P(PT/I)=0.904$

P(PT/I)=P(PT∩ I)/P(I)

0.904=P(PT∩ I)/0.025

P(PT∩ I)=0.904 x 0.025

P(PT∩ I) = 0.0226

P(PT/NI)=0.041

P(PT/NI)=P(PT∩ NI)/P(NI)

0.041=P(PT∩ NI)/0.975

P(PT∩ NI) = 0.041 x 0.975

P(PT∩ NI) = 0.039975

P(PT) = P(PT∩ I)+P(PT∩ NI)

P(PT)= 0.0226 + 0.039975

P(PT) = 0.062575

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3 years ago

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Slav-nsk [51]

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3 years ago

2. An empty ice cream cone has a height of 3.02 inches and a radius

ololo11 [35]

Answer:

Approximate volume of ice cream = 3.03 inches

Step-by-step explanation:

Given - An empty ice cream cone has a height of 3.02 inches and a radius

of 0.98 inches.

To find - What is the approximate volume of ice cream it will hold within the cone ?

Proof -

We know that,

Volume of the cone = $\frac{1}{3}\pi r^{2}h$

where

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h is the height of the cone

Here,

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So,

Volume = $\frac{1}{3}\pi r^{2}h$

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3 years ago

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Tamiku [17]

Answer:

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3 years ago

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Talja [164]

Answer:

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Step-by-step explanation:

Given

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3 years ago