graph the linear equation. find three points that solve the equation, then plot them on the graph. 5x-4y=-18

You take a three-question true or false quiz. You guess on all the questions. What is the probability that you will get a perfec

elena-14-01-66 [18.8K]

The probability that you will guess the first answer correctly = 1/2 = 0.5
The probability that you will guess the second answer correctly = 1/2 = 0.5
The probability that you will guess the third answer correctly = 1/2 = 0.5

The probability that you will guess all three answers correctly is

(0.5) x (0.5) x (0.5) = 0.125 = 12.5% .

============================

Here are all the ways your answer sheet could wind up:
(R = a right answer. W = a wrong answer.)

W W W
W W R
W R W
W R R
R W W
R W R
R R W
R R R

Number of possible ways to score 0 right out of 3 questions: 1 way
Number of possible ways to score 1 right out of 3 questions: 3 ways
Number of possible ways to score 2 right out of 3 questions: 3 ways
Number of possible ways to score 3 right out of 3 questions: 1 way

Statistically, if your answers are all pure guesses,
then on the average, the score you expect is

(0 + 33-1/3 + 33-1/3 + 33-1/3 + 66-2/3 + 66-2/3 + 66-2/3 + 100) / 8

= 400 / 8

= 50% .

If you're happy with that score, great !
Go to the movies the night before the test,
and start guessing.

5 0

2 years ago

When the factors of a trinomial are (x+ p) and (x + q) then the coefficient of the x-term in the trinomial is:

Eva8 [605]

The coefficient of x in this case is 1. (x*x = x^2)

4 0

3 years ago

Read 2 more answers

-6(12p-8n) Please help me with this distributive property question.

ASHA 777 [7]

Answer:

=48n−72p

Step-by-step explanation: Good luck

3 0

2 years ago

Read 2 more answers

The 2 main support rods for a barbeque grill are each 7.5 cm from the centre of the

sukhopar [10]

Answer:

58.1 cm

Step-by-step explanation:

The length of each support rod can be found using the Pythagorean theorem. The geometry can be modeled by a right triangle, such that the distance from centre is one leg and half the length of the rod is the other leg of a triangle with hypotenuse equal to the radius of the grill.

__

<h3>Pythagorean theorem</h3>

The theorem tells us that the sum of the squares of the legs of a right triangle is the square of the hypotenuse. For legs a, b and hypotenuse c, this is ...

c² = a² +b²

<h3>application</h3>

For the geometry of the grill, we can define a=7.5 and c=30. Then b will be half the length of the support rod.

30² = 7.5 +b²

b² = 900 -56.25 = 843.75

b = √843.75 ≈ 29.0473

The length of each support rod is twice this value, so ...

rod length = 2b = 2(29.0473) = 58.0947

Each support rod is about 58.1 cm long.

7 0

1 year ago

Carl wants to buy a television that cost $500 including taxes to pay for the television he will use a payment plan that requires

ozzi

Answer:

41%

Step-by-step explanation:

Given the cash price is $500, the hire purchase price is calculated by summing the installment and down-payment:

$Hire \ Purchase \ Price=Installments +Downpayments\\\\=8\times 72.50+125\\\\=705$

#Percentage increase in price is the difference between the hire purchase price and list price as a percentage of the list price:

$\bigtriangleup Price=705-500\\\\=205\\\\\%\bigtriangleup Price=\frac{\bigtriangleup Price}{500}\times 100\%\\\\\\=\frac{205}{500}\times100\%\\\\=41\%$

Hence, the % increase in price is 41%

7 0

3 years ago