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Lostsunrise [7]
3 years ago
10

In a certain clothing store, 4 shirts and 6 ties cost $70, and 2 shirts and 4 ties cost $42. What is the cost of each tie?

Mathematics
1 answer:
Oksanka [162]3 years ago
3 0

Answer:

  $7

Step-by-step explanation:

Your two equations are ...

  • 4s +6t = 70
  • 2s +4t = 42

Double the second equation and subtract the first:

  2(2s +4t) -(4s +6t) = 2(42) -(70)

  2t = 14 . . . . . simplify

  t = 7 . . . . . . . divide by 2

The cost of each tie is $7.

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8. Given
Ber [7]

Answer:

-3,694

I am not sure what in the world the rest means, so I am very sorry. I just subtracted some stuff. I have no clue if that helped...

3 0
3 years ago
A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters
natita [175]

Answer:

0.0479 = 4.79% probability that fewer than 11 of them will vote

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

70% of all eligible voters will vote in the next presidential election.

This means that p = 0.7

20 eligible voters were randomly selected from the population of all eligible voters.

This means that n = 20

What is the probability that fewer than 11 of them will vote?

This is:

P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308

P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120

P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039

P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010

P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002

P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0

The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then

P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479

0.0479 = 4.79% probability that fewer than 11 of them will vote

8 0
3 years ago
The radius of a cylindrical gift box is (2x+3) in. The height of the gift box is twice the radius. What is the surface area of t
inessss [21]
SA=2pir^2+2hpir=2pir(r+h)
h=2r=2(2x+3)=4x+6

SA=2pi(2x+3)(2x+3+4x+6)
SA=(4x+6)(pi)(6x+9)
SA=24πx²+27πx+54π
3 0
3 years ago
A 20-foot ladder leans up against the side of a building so that the foot of the ladder is 10 feet from the base of the building
harina [27]

Answer:

17.3

Step-by-step explanation:

To solve this equation, you need to use the pythagorean theorem which is:

a^{2} +b^{2}= c^{2}

a= length

b= height

c= hypotenuse

First, substitute in your values for the equation:

10^2+b^{2} =20^{2}

Then, use the squares in the equation:

100+b^{2} =400

Then, subtract 100 from both sides to isolate b:

b^{2} =300

Finally, square root both sides to get your answer:

b=17.3205080757

Then round to the nearest tenth which gives you 17.3.

6 0
3 years ago
Alguien me podria ayudar a resolverlos con su procedimiento
Scilla [17]

Answer:

Step-by-step explanation:

f(x) = 2x² + x - 3

f'(x) = 4x + 1

f'(x) = 4(-1) + 1 = -3 slope

f(x) = 2(-1)² + (-1) - 3 = -2

(-1, -2)

-2 = -3(-1) + B

B = -5 y intercept

y = -3x - 5

f(x) = 1/x² = x⁻²

f'(x) = -2x⁻³

f'(-2) = -2(-2)⁻³ = -2/-8 = 1/4 slope

y = 1/4x + B

1/4 = 1/4(-2) + B

B = 3/4

y = 1/4x + 3/4

7 0
2 years ago
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