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2 years ago

8

kirk has 42 pieces of candy to divide evenly between his three children. if he puts the pieces into three boxes how many pieces

of candy are there per box

1 answer:

Gekata [30.6K]2 years ago

8 0

14 pieces of candy in the box

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Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card an

ziro4ka [17]

Answer:

1) is not possible

2) P(A∪B) = 0.7

3) 1- P(A∪B) =0.3

4) a) C=A∩B' and P(C)= 0.3

b) P(D)= 0.4

Step-by-step explanation:

1) since the intersection of 2 events cannot be bigger than the smaller event then is not possible that P(A∩B)=0.5 since P(B)=0.4 . Thus the maximum possible value of P(A∩B) is 0.4

2) denoting A= getting Visa card , B= getting MasterCard the probability of getting one of the types of cards is given by

P(A∪B)= P(A)+P(B) - P(A∩B) = 0.6+0.4-0.3 = 0.7

P(A∪B) = 0.7

3) the probability that a student has neither type of card is 1- P(A∪B) = 1-0.7 = 0.3

4) the event C that the selected student has a visa card but not a MasterCard is given by C=A∩B' , where B' is the complement of B. Then

P(C)= P(A∩B') = P(A) - P(A∩B) = 0.6 - 0.3 = 0.3

the probability for the event D=a student has exactly one of the cards is

P(D)= P(A∩B') + P(A'∩B) = P(A∪B) - P(A∩B) = 0.7 - 0.3 = 0.4

3 0

3 years ago

Order the numbers from greatest to<br> least.<br> 6.057, 6.125,6.38, 6.01, 6.03 , 6.57

Sergio039 [100]

Answer:

6.57, 6.38, 6.125, 6.057, 6.03, 6.01

7 0

2 years ago

Drag the tiles to the correct boxes to complete the pairs. Match the polar equations to their rectangular forms.

LekaFEV [45]

The correct answer for the polar coordinates will be C, A, E, B, D

<h3>What is a polar coordinate system?</h3>

The polar coordinate system is a two-dimensional coordinate system in which a distance from a reference point and an angle from a reference direction identify each point on a plane. The pole is the reference point, and the polar axis is the ray from the pole in the reference direction.

The conversion relations between rectangular and polar coordinates can be used to find the polar coordinate equivalents. Those relations are ...

x = r·cos(θ)

y = r·sin(θ)

x² +y² = r²

x = 2

Using the expression for x, this is ...

r·cos(θ) = 2

r = 2/cos(θ) . . . . divide by cos(θ)

r = 2·sec(θ) . . . . use the trig identity

x²+y²=36

From above, this becomes ...

r² = 36

r = 6 . . . . . . take the square root

x²+y²=2y

From above, this becomes ...

r² = 2·r·sin(θ)

r = 2·sin(θ) . . . . . . divide by r

x=√3y

Using the above relations, this is ...

r·cos(θ) = √3·r·sin(θ)

1/√3 = sin(θ)/cos(θ) . . . . . . divide by √3·r·cos(θ)

tan(θ) = 1/√3 ⇒ θ = arctan(1/√3)

θ = π/6

x=y

From above, this is ...

r·cos(θ) = r·sin(θ)

1 = sin(θ)/cos(θ) = tan(θ) . . . . divide by r·cos(θ)

θ = arctan(1)

θ = π/4

However, the tangent function is periodic with period π, so θ = arctan(k)+π is also equivalent to the rectangular equation. It is the opposite ray, so forms the complete line when joined with the first ray.

To know more about polar coordinate system follow

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4 0

1 year ago

Read 2 more answers

If f(x) = (square root of x -12 /)-5, find f(13)

Ilya [14]

The answer isssss 4/3.

3 0

3 years ago

Use the graph of the function to find, f(-6)

kati45 [8]

Answer:

f(-6) = 3

Step-by-step explanation:

In order to find the value of f(-6), we need to find what y-value appears associated with x = -6 according to the graph resented.

Therefore, go to x = -6 on the horizontal axis (six units to the left of the origin of the coordinate system), and find at what value of the y-axis the vertical grid passing through x = -6 intercepts the graph of the function.

That is indicated by a red dot in the attached image.

We see therefore that for x = -6 the y-value that the graph of the function shows in the vertical scale is "3".

Then, f(-6) = 3

5 0

3 years ago