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2 years ago

Write and solve an equation.

Mathematics

1 answer:

Bogdan [553]2 years ago

4 0

15+a= 32
-15 -15

a=17

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Find the distance between each of the following pairs of points. (1,5) and (2,3)

Lapatulllka [165]

Answer:

The distance is 2.2360....

Step-by-step explanation:

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2 years ago

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Let D be the event that a randomly chosen person has seen a dermatologist. Let S be the event that a randomly chosen person has

SSSSS [86.1K]

Given:

D be the event that a randomly chosen person has seen a dermatologist.

S be the event that a randomly chosen person has had surgery for skin cancer.

To find:

The correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.

Solution:

Conditional probability: Probability of A given B is:

$P(A|B)=\dfrac{P(A\cap B)}{P(B)}$

Let D be the event that a randomly chosen person has seen a dermatologist.

Let S be the event that a randomly chosen person has had surgery for skin cancer.

Using the conditional probability, the correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist is P(S|D).

Therefore, the correct option is D.

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2 years ago

Eber bought a new pair of baseball cleats for $64.95. The sales

saw5 [17]

Answer:

$68.52

Step-by-step explanation:

$3.57 Is the tax he pays

3 0

3 years ago

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Show your work (19−7)^( (2) ) −8*3+4*3−5

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

1 Simplify 19-7 to 12.

12^2−8×3+4×3−5

2 Simplify 12^2 to 144

144−8×3+4×3−5

3 Simplify 8×3 to 24.

144−24+4×3−5

4 Simplify 4×3 to 12.

144−24+12−5

5 Simplify 144-24 to 120.

120+12-5

6 Simplify 120+12 to 132.

132-5

7 Simplify.

127

3 0

1 year ago

Find an equation of the circle that has center (-4,3) and passes through (6,-4).

kumpel [21]

Answer:

$(x+4)^2+(y-3)^2=149$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center of the circle and $r$ is the radius of the circle.

Given that $(h,k)\rightarrow(-4,3)$ and it passes $(6,-4)$ , their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}$

Therefore, if the length of the radius is $r=\sqrt{149}$ units, then $r^2=149$ , making the final equation of the circle $(x+4)^2+(y-3)^2=149$

5 0

2 years ago