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White raven [17]
4 years ago
14

What is the measure of Angle DEF?

Mathematics
1 answer:
jarptica [38.1K]4 years ago
3 0

Answer:

D

Step-by-step explanation:

Angles outside a circle are half the difference of the measures of the intercepted arcs.

78 - 12 = 66

66/2 = 33

The angle is 33 degrees

You might be interested in
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!

5 0
3 years ago
I don't get this. Please please please help!!!
shusha [124]
Don't get what................................................
8 0
3 years ago
Hey Siri usually sells for $14 in the city is 10% off the sales tax is 8% what is the total price of a city including tax
mote1985 [20]

Answer:

$15.12

Step-by-step explanation:

14/10=1.4   1.4/10=8t+1.4+15+15.12

4 0
3 years ago
Which of the expressions represents the statement, "22 more than a number squared decreased by 12"?
ANTONII [103]
(n^{2}+ 22) -12
4 0
3 years ago
PLSSS I NEED THE ANSWER
BabaBlast [244]

Answer:

1. 6.4 meters of streamers left to make pompoms

2. He will be able to make 8 pompoms

Step-by-step explanation:

1.

4 x 1.6 = 5.6 meters were used to make decorations.

Then we do 12 - 5.6 = 6.4

2.

per one pompom it takes 0.8 meters of streamers.

6.4 is the left over so we do

6.4 divided by 0.8 = 8 pompoms you can make

6 0
2 years ago
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