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3 years ago

What is the next fraction in this sequence? Simplify your answer. 1 1 1 5 6,4, 3, 12,

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

1/2 I think because 5/12 minus 1/3 equals 1/12 so you add that to 5/12 and that gives you 6/12 or 1/2

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Lunch at school consists of a sandwich, a vegetable, and a fruit. Each lunch combination is equally likely to be given to a stud

daser333 [38]

Answer:

a) see attachment

b) Pr(chicken sandwich, carrots, and a banana) = 1/12

c) The probability that Sol gets at least one of his favorite = 5/6

Step-by-step explanation:

a) A tree diagram is used to represent sample space.

We are told the lunch choices are sandwich, a vegetable and a fruit and each lunch combination are possible.

Find attached the tree diagram.

From the tree diagram, there are a total of 12 possible outcomes.

b) Sol's favorite lunch is a chicken sandwich, carrots, and a banana.

The probability that Sol gets his favorite lunch = Pr(chicken sandwich, carrots and a banana)

Pr(chicken sandwich, carrots, and a banana) = 1/12

Reason: From the tree diagram, the likelihood of having all three (chicken sandwich, carrots and a banana) occurs only once.

Pr(chicken sandwich, carrots and a banana) = [number of times(chicken sandwich, carrots and a banana) occurs]/(total number of possible outcomes)

Pr(chicken sandwich, carrots, and a banana) = 1/12

c) For Sol to get at least one of his favorite, we would have at least either chicken, carrot or banana in the possible outcome.

We have 10 of such possible outcome:

Chicken, carrot and apple

Chicken, carrot and banana

Chicken, spinach and apple

Chicken, spinach and banana

Hamburger, carrot and apple

Hamburger, carrot and banana

Hamburger, spinach and banana

Turkey, carrot and apple

Turkey, carrot and banana

Turkey, spinach and banana

The probability that Sol gets at least one of his favorite = (total number of at least one of Sol's favorite lunch)/(total possible outcome)

= 10/12 = 5/6

The probability that Sol gets at least one of his favorite = 5/6

4 0

4 years ago

45-45-90...find the value of x?

andrey2020 [161]

Answer:

Step-by-step explanation:

If the angles of a triangle are 45°, 45° and 90°, the the sides of the triangle are x. x and x√2

x√2 = 19√2 ⇔ x = 19

4 0

3 years ago

What is the constant rate of change from the graph? <br> 2 <br> 10 <br> 5 <br> 1/5

Dvinal [7]

I believe the answer is 0.5

3 0

4 years ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

7 0

4 years ago

A palindrome is a number that reads the same forwards and backwards, such as 22 or 39793.

Aleks04 [339]

Answer:

There are thirty-nine palindromic numbers between 10 and 400.

Step-by-step explanation:

Listed, they are: 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353, 363, 373, 383, and 393.

5 0

2 years ago