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3 years ago

What is the solution to the system of equations represented by these two lines?

Mathematics

1 answer:

Anna007 [38]3 years ago

6 0

We can find the solution to a system of equations by graphing them and finding where they intersect each other.

In this case, they intersect at the point (2, 3).

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Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (

Amiraneli [1.4K]

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

Spam Email be S

And, test spam positive be T

Given that

P(S) = 0.3

$P(\frac{T}{S}) = 0.95$

$P(\frac{T}{S^c}) = 0.05$

Now based on the above information, the probabilities are as follows

i. P(Spam Email) is

= P(S)

= 0.3

$P(S^c) = 1 - P(S)$

= 1 - 0.3

= 0.7

ii. $P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}$

$= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }$

$= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}$

= 0.8906

iii. $P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}$

$= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }$

$= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}$

= 0.0221

We simply applied the above formulas so that the each part could come

8 0

3 years ago

A pharmacist has a 12% solution and a 20% solution of boric acid. How much of each should she use to make 80 grams of a 15% solu

nlexa [21]

Step-by-step explanation:

If x = the amount of 12% and y = the amount of 20%, then x + y = 80

Since we need 80 grams of 15%, 80(.15) = 12.

We are given that .12x + .20y = 12.

We can solve the first equation for x or y. Let's do x.

x = 80 - y

.12(80 - y) + .20y = 12

9.6 - .12y + .20y = 12

.08y = 2.4

y = 30

x = 80 - 30 = 50

5 0

3 years ago

Read 2 more answers

Which of the following is a solution

nordsb [41]

$\small\boxed{\begin{array}{cc} \hline\sf \normalsize {Math \: \: \: Question}\\ \hline\end{array}}$

=================================

Which of the following is a solution

to the linear function y = 4/5 x + 7?

A (0,1)

<u>C (-5,11)</u>

B (15,19)

D (-2,1)

=================================

$\begin{gathered}\begin{gathered}\tiny\boxed{\begin{array} {} \red{\bowtie}\:\:\:\: \red{\bowtie}\\｡◕‿◕｡\end{array}}\end{gathered}\end{gathered}$ :BrainliestBunch

8 0

3 years ago

The Burger Palace serves 17,822 items in 7 days. 12,460 of those items are burgers and the rest are hot dogs. If they sell the s

Brums [2.3K]

answer:

a. 16.

step-by-step explanation:

32 = 2*2*2*2*2

48 = 2*2*2*2*3

picking out the common factors:

gcf = 2*2*2*2 = 16.

6 0

3 years ago

Solve for X. 5.4 + 0.2x = 7.09 Enter your answer as a decimal or as a mixed number in simplest form in the box. x =

FromTheMoon [43]

Answer:

x = 8.45

Step-by-step explanation:

5.4 + 0.2x = 7.09

Subtract 5.4 from both sides to leave 0.2x alone

0.2x = 1.69

Divide by 0.2 on both sides to isolate x

x = 1.69/0.2

x = 8.45

3 0

2 years ago