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3 years ago

Find the measure of x.

Mathematics

1 answer:

snow_lady [41]3 years ago

3 0

Inscribed Quadrilateral Theorem says that quadrilateral can be inscribed in a circle if and only if the opposite angles are supplementary.

That means

∠C+∠A=180⁰

∠B+∠D=180⁰

So, ∠C+∠A=180⁰ ---->84 + x = 180 ------> x=180-84=96⁰.

Answer: x=96⁰.

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Spinner has six sections of equal shape and size. Each section is either black or white. The table shows the result of an experi

Novosadov [1.4K]

Answer:

The spinner is 3 times more likely to land on white.

Step-by-step explanation:

The spinner landed 57 times on white and 19 times on black.

57 is 3 * 19

Answer: The spinner is 3 times more likely to land on white.

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We will round both numbers:-

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Now we will multiply these 2 numbers to get our answer.

9 × 12 = 108

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A sweater normally cost $35 there is a 25% discount what is sale price of the sweater? Include the $

Lerok [7]

Answer:

Sale price= $26.25

Step-by-step explanation:

Giving the following information:

Selling price= $35

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3 years ago

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

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3 years ago