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dolphi86 [110]
3 years ago
12

For this figure, what is the value of x?

Mathematics
2 answers:
Lelu [443]3 years ago
8 0
The sum of the interior angles of this triangle must be 180 degrees.

Adding them up:  [28]   +   [58 + 77]   +   [x] = 180

Solving for x:  28+ 135 + x = 180

                                        x = 180 - (28+35) = 117 (degrees)    (answer)
andrew11 [14]3 years ago
5 0
The angles inside a triangle always add up to 180 degrees.
The whole thing is one big triangle made of two smaller ones.

28 + 58 + 77 + x = 180
163 + x = 180
x = 180 - 163
x = 17
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In Exercise, find the derivative of the function. <br> y = 32e0.23t
TEA [102]

Answer:

y'=7.36e^{0.23t}

Step-by-step explanation:

y=32e^{0.23t}

take derivative with respect to t

\frac{dy}{dt} =32\frac{d(e^{0.23t})}{dt}

derivative of e^t is e^t

derivative of 0.23t is 0.23

\frac{dy}{dt} =32 \frac{d(e^{0.23t})}{dt}

Apply chain rule

\frac{dy}{dt} =32(e^{0.23t})(0.23)

y'=7.36e^{0.23t}

3 0
3 years ago
The weight of a bucket of fish was more than 23 pounds. Doria wants to write an inequality for the weight of the bucket of fish.
gtnhenbr [62]

Answer:w is greater than 23

Step-by-step explanation:

Given

The weight of the bucket was more than 23 pounds i.e.

\Rightarrow w>23

It is w is greater than 23

4 0
3 years ago
A player of a video game is confronted with a series of four opponents and an 80% probability of defeating each opponent. Assume
mixer [17]

Answer:

(a) 0.4096

(b) 0.64

(c) 0.7942

Step-by-step explanation:

The probability that the player wins is,

P(W)=0.80

Then the probability that the player losses is,

P(L)=1-P(W)=1-0.80=0.20

The player is playing the video game with 4 different opponents.

It is provided that when the player is defeated by an opponent the game ends.

All the possible ways the player can win is: {L, WL, WWL, WWWL and WWWW)

(a)

The results from all the 4 opponents are independent, i.e. the result of a game played with one opponent is unaffected by the result of the game played with another opponent.

The probability that the player defeats all four opponents in a game is,

P (Player defeats all 4 opponents) = P(W)\times P(W)\times P(W)\times P(W)=[P(W)]^{4} =(0.80)^{4}=0.4096

Thus, the probability that the player defeats all four opponents in a game is 0.4096.

(b)

The probability that the player defeats at least two opponents in a game is,

P (Player defeats at least 2) = 1 - P (Player losses the 1st game) - P (Player losses the 2nd game) = 1-P(L)-P(WL)

                                    =1-(0.20)-(0.80\times0.20)\\=1-0.20-0.16\\=0.64

Thus, the probability that the player defeats at least two opponents in a game is 0.64.

(c)

Let <em>X</em> = number of times the player defeats all 4 opponents.

The probability that the player defeats all four opponents in a game is,

P(WWWW) = 0.4096.

Then the random variable X\sim Bin(n=3, p=0.4096)

The probability distribution of binomial is:

P(X=x)={n\choose x}p^{x} (1-p)^{n-x}

The probability that the player defeats all the 4 opponents at least once is,

P (<em>X</em> ≥ 1) = 1 - P (<em>X</em> < 1)

             = 1 - P (<em>X</em> = 0)

             =1-[{3\choose 0}(0.4096)^{0} (1-0.4096)^{3-0}]\\=1-[1\times1\times (0.5904)^{3}\\=1-0.2058\\=0.7942

Thus, the probability that the player defeats all the 4 opponents at least once is 0.7942.

3 0
3 years ago
Me being dumb ✌️
Inessa05 [86]

Answer:

3  

Step-by-step explanation:

you can do it sequentially and find a potential solution; when you divide the thing, it looks like this

    __2_3_4_0_8________________  

4    | 936_2

       4

_________

      13

      12

__________

       16

       16

-________

0

0

________

      32

     32

_______

0

7 0
3 years ago
Read 2 more answers
Graph the function. y = 1/5 (3)^x
Thepotemich [5.8K]
PLOT:
-2, 0.022
-1, 0.067
0, 0.2
1, 0.6
2, 1.8
6 0
4 years ago
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