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KiRa [710]
3 years ago
12

Will give brainliest to the correct answer (nor links or account will be reported) :)

Mathematics
1 answer:
Setler [38]3 years ago
4 0

Answer:

38, 26

Step-by-step explanation:

(x+78) + (x-12) +x = 180

3x + 66 =180

3x = 114

x = 38

P = 38-12=26

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GOAT is a parallelogram. Find the length of AG.
Scilla [17]

Answer:

AG = 16

Step-by-step explanation:

If you have a parallelogram, then the diagonals are bisected, meaning GS and SA are congruent, same with OS and ST. So, because 8 + 8 = 16, the length of AG = 16.

3 0
3 years ago
The function g(x) = 3x - 12x + 7 written in vertex form is g(x) = 3(x - 2)2 – 5. What is the vertex of g(x)?
Assoli18 [71]

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] ~\dotfill\\\\ g(x)=3(x-\stackrel{h}{2})^2+(\stackrel{k}{-5})\qquad \qquad \stackrel{\textit{vertex}}{(2,-5)}

3 0
3 years ago
Suppose a three-seat city council election. For each seat, one progressive and one conservative is running, and voters must choo
Kitty [74]

Answer:

The probability that conservative party wins all 3 seats is 0.216

The probability that conservative party wins exactly two seats is 0.432

Step-by-step explanation:

Consider the provided information.

The probability of a conservative candidate winning is p=0.6.

The probability of one progressive candidate will win is: 1-0.6=0.4

Part (a) What is the probability that the conservative party wins all three seats?

According to binomial distribution: b(x; n, p) =^nC_xp^x(1- p)^{n-x}

P(x=3) =^3C_3(0.6)^3 (0.4)^{3-3}

P(x=3) =(0.6)^3

P(x=3)=0.216

P(conservative party wins all 3 seats) = 0.216

Hence, the probability that conservative party wins all 3 seats is 0.216

Part (a) What is the probability that the conservative party wins exactly two seats?

P(x=2) =^3C_2(0.6)^2 (0.4)^{3-2}

P(x=2) =3(0.36)(0.4)

P(x=2) =0.432

Hence, the probability that conservative party wins exactly two seats is 0.432

5 0
3 years ago
14. Find the value of the function:<br> If f(x) = 4x + 4x - 4, find f(0).<br> f(0) =
n200080 [17]

Answer:

<h2>f(0) = -4</h2>

Step-by-step explanation:

f(x)=4x^2+4x-4\ or\ f^*(x)=4x+4x-4=8x-4\\\\f(0)-\text{put}\ x=0\ \text{to}\ f(x):\\\\f(0)=4(0)^2+4(0)-4=4(0)+0-4=0-4=-4\\\\f^*(0)=8(0)-4=0-4=-4

3 0
3 years ago
louise skip counts by 4 on a number line to find 5 x 4 how many jumps should she draw in the number line
saul85 [17]
<h3>Answer:</h3>

It depends:

  • 4 if she starts at 4
  • 5 if she starts at 0
<h3>Explanation:</h3>

Louise needs to end up a total of 5 times 4 away from zero.

If she starts at 4, which is 1 times 4, then she needs to jump 4 more times, to 2, 3, 4, 5 times 4.

If she starts at 0, then she needs to jump 5 times to 1, 2, 3, 4, 5 times 4. (The values at the end of each jump will be {4, 8, 12, 16, 20}.)

4 0
3 years ago
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