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choli [55]
2 years ago
8

Original price is $29.99 markdown is 33 1/3%

Mathematics
1 answer:
g100num [7]2 years ago
5 0
First, you convert 33 1/3 % into decimals which is 0.33333333333 then you multiply 29.99 by the decimal to get the amount you save which is then subtracted from the initial amount.
29.99 x 0.33 1/3 = 9.99667
29.99 - 9.99667 = 19.99

Hope this helps!

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Lines A and B are parallel find m2
BigorU [14]

Answer:

m2 is 50 degrees

Step-by-step explanation:

It alternates with the 50 on the opposite direction so, they are equal

5 0
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What would those be in point slope form?
zaharov [31]
Y = -1/2x + 11/2

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3 0
3 years ago
Help me pls!!!!!!!!!
Alexeev081 [22]

Answer:

93

Step-by-step explanation:

Line EJ is a straight line, with Line DC cutting through it. So 180 = Angle DCJ + Angle DCE. So Angle DCE =  48. Triangles are equal to 180°. So 180 = ? +39 +48. So ? = 93

8 0
2 years ago
Let X denote the number of bars of service on your cell phone whenever you are at an intersection with the following probabiliti
lorasvet [3.4K]

Answer:

Step-by-step explanation:

Hello!

Given the variable

X: number of bars of service on your cell phone.

The posible values of this variable are {0, 1, 2, 3, 4, 5}

a. F(X) is the cummulative distribution function P(X≤x₀) you can calculate it by adding all the point probabilities for each value:

X: 0; 1; 2; 3; 4; 5

P(X): 0.15; 0.25; 0.25; 0.15; 0.1; 0.1

F(X): 0.15; 0.4; 0.65; 0.8; 0.9; 1

The maximum cumulative probability of any F(X) is 1, knowing this, you can calculate the probability of X=5 as: 1 - F(4)= 1 - 0.9= 0.1

b.

The mean of the sample is:

E(X)= ∑Xi*Pi= (0*0.15)+(1*0.25)+(2*0.25)+(3*0.15)+(4*0.1)+(5*0.1)

E(X)= 2.1

V(X)= E(X²)-(E(X))²

V(X)= ∑Xi²*Pi- (∑Xi*Pi)²= 6.7- (2.1)²= 2.29

∑Xi²*Pi= (0²*0.15)+(1²*0.25)+(2²*0.25)+(3²*0.15)+(4²*0.1)+(5²*0.1)= 6.7

c.

P(X<2)

You can read this expression as the probability of having less than 2 bars of service. This means you can have either one or zero service bars, you can rewrite it as:

P(X<2)= P(X≤1)= F(1)= 0.4

d.

P(X≤3.5)

This expression means "the probability of having at most (or less or equal to) 3.5 service bars", this variable doesn't have the value 3.5 in its definition range so you have to look for the accumulated probability until the lesser whole number. This expression includes the probabilities of X=0, X=1, X=2, and X=3, you can express it as the accumulated probability until 3, F(3):

P(X≤3.5)= P(X≤3)= F(3)= 0.80

I hope it helps!

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3 years ago
The original triangle shown in the
nordsb [41]

Answer:

i think (2,2)

Step-by-step explanation:

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