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N76 [4]
2 years ago
6

Angle ABC is a straight angle. The measure of angle ABD is x. What is the value of x?

Mathematics
2 answers:
Sergio [31]2 years ago
7 0

Answer:

45 degrees

Step-by-step explanation:

A straight angle is equal to 180, so subtract 135 from 180

Yuri [45]2 years ago
7 0

Answer:

45

Step-by-step explanation:

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It was reported that 23% of U.S. adult cellphone owners called a friend for advice about a purchase while in a store. If a sampl
leva [86]

Answer:

P(X=7)

And using the probability mass function we got:

P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271  

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=15, p=0.23)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want to find the following probability:

P(X=7)

And using the probability mass function we got:

P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271  

5 0
3 years ago
The measure of the supplement of an angle is 60° less than four times the measure of the complement of the angle. Find the measu
LenaWriter [7]

Answer:

140° and 50°

Step-by-step explanation:

The supplement of the angle (180 - x)

The complement of the angle = (90 - x)

(180 -x) = 4(90-x) - 60

180 - x = 360 -4x - 60

180 -x  = 300 - 4x

180 - x + 4x = 300

 180 + 3x = 300

     3x = 120

      x = 40

   

The supplement (180 - x) =  180 - 40 = 140°

The complement (90 - x) =  90 - 40 = 50°

4 0
3 years ago
Find an exponential function of the form y = ab* that passes through the points (0,4)
IrinaK [193]

Answer:

2nd option

Step-by-step explanation:

given an exponential function in the form y = ab^{x}

to find a and b use the coordinate points it passes through

using (0, 4 ) , then

4 = ab^{0} [ b^{0} = 1 ] , that is

a = 4 , so

y = 4b^{x}

using (2, 100 )

100 = 4b² ( divide both sides by 4 )

25 = b² ( take the square root of both sides )

\sqrt{25} = b , that is

b = 5

then exponential function is

y = 4 . 5^{x}

6 0
2 years ago
PLZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPP
hoa [83]

Answer:

OOF I MEANT A

Step-by-step explanation:

Michelle is in less debt than John

6 0
3 years ago
Ocean Bike Tours wants to provide bandanas for each person. The cost of the bandanas is each person. The cost of the bandana is
mixas84 [53]

Answer:

$145.50

Step-by-step explanation:

C = 45.50 + 2n

45.50 + 2X 100 = $145.50

7 0
3 years ago
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