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gtnhenbr [62]
3 years ago
7

Solve each equation -8a - 1=-23

Mathematics
2 answers:
bagirrra123 [75]3 years ago
5 0
-8a/8 = 22

8 divided by 22 is 2.75

a = -2.75
gladu [14]3 years ago
5 0
-8a-1=-23 \ \ \ \ \ |add\ 1\\\\
-8a=-22\ \ \ \ \ divide\ by\ -8\\\\
a=\frac{22}{8}=2\frac{3}{4}\\\\ Solution\ is\ a=2\frac{3}{4}.

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A side of the triangle below has been extended to form an exterior angle of 164". Find
Arada [10]

Given:

Measure of exterior angle = 164°

The measure of opposite interior angles are x° and 53°.

To find:

The value of x.

Solution:

According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.

Using Exterior Angle Theorem, we get

x^\circ+53^\circ=164^\circ

x^\circ=164^\circ-53^\circ

x^\circ=111^\circ

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Therefore, the value of x is 111.

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zheka24 [161]

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Step-by-step explanation:

                                   melanin      content    Total

                                            high   low

moisture   high                     13      10                23

content    low                       47      30                77

 Total                                   60      40              <u> </u><u>100</u>

Let A denote the event that a sample has low melanin content, and let B denote the event that a sample has high moisture content.

a) Total skin samples has low melanin content = 10+30=40

P(A)=\dfrac{40}{100}=0.40

b) Total skin samples has high moisture content = 13+10=23

P(B) =\dfrac{23}{100}=0.23

c) A ∩ B =  Total skin samples has both low melanin content and high moisture content =10

P(A ∩ B) =\dfrac{10}{100}=0.10

Using conditional probability formula , P (A|B)=\dfrac{P(A\cap B)}{P(B)}

P (A|B)=\dfrac{0.10}{0.23}=0.434782608696\approx0.435

d)  P (B|A)=\dfrac{P(A\cap B)}{P(A)}

P (B|A)=\dfrac{0.10}{0.40}=0.25

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A = LW
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