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3 years ago

Hamid is playing a trivia game with multiple choice questions. Each question has 2 correct answers among 5

Mathematics

2 answers:

goblinko [34]3 years ago

6 0

The probability that Hamid guesses both answers correctly is 10%.

Since Hamid is playing a trivia game with multiple choice questions, and each question has 2 correct answers among 5 answer choices, and Hamid has no idea what the answers to a certain question are, so he needs to choose two different answers at random, to determine what is the probability that Hamid guesses both answers correctly the following calculation must be performed:

2/5 x 1/4 = X
0.4 x 0.25 = X
0.1 = X
0.1 x 100 = 10

Therefore, the probability that Hamid guesses both answers correctly is 10%.

Learn more in brainly.com/question/22049333

NISA [10]3 years ago

5 0

Answer:

Step-by-step explanation:

khan

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How can the average rate of change be found using a discrete graph?

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3 years ago

peter and his four brothers combined all of their money to buy a video game. if 20%of the total money is peters and $12.00 of th

Tamiku [17]

Answer:

60$ (b)

Step-by-step explanation:

we know that 20% of the total is peters - and peter has 12 dollars. We know that 20% 5 times gets us to 100%. So we multiply 12 by 5 to get a total answer of 60$

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3 years ago

PLEASE HELP I believe you have to use substitution or elimination to solve the problem.

zepelin [54]

<u>Answer:</u>

Amount collected in 2012 = 3.49

and in 2013 = 3.35

<u>Explanation:</u>

Let x be the baggage fees collected in 2013 and

y be the baggage fees collected by airlines in 2012

From the given question we can obtain two equations as follows:

x + y = 6.84 $ - eq 1

and

y = 0.14 + x

as fees in 2012 exceeds that in 2013 by 0.14$

Now, solving these two equations by substitution,

we substitute y = 0.14 + x in eq 1

and solve for x,

which gives us x = 3.35 and

substituting this value in eq 1

we get y = 3.49

6 0

3 years ago

The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri

SOVA2 [1]

For this case we have a function of the form:

$y = A * (b) ^ x$

Where,

A: initial population of bacteria

b: growth rate

x: number of hours

Since the diameter is double every hour, then:

$b = 2$

We must now look for the value of A.

To do this, we evaluate an ordered pair of the graph:

For (1, 2):

$2 = A * (2) ^ 1$

Clearing A we have:

$2 = A * 2$

$A = \frac{2}{2}\\A = 1$

Then, the function is given by:

$y = 1 * (2) ^ x$

For after 9 hours we have:

$y = 1 * (2) ^ 9\\y = 512$

Answer:

the diameter of the bacteria after 9 hours is:

$y = 512$

6 0

3 years ago

A person has utility function u(x, y) = 100xy + x + 2y. Suppose that the price per unit of x is $2, and that the price per unit

Kazeer [188]

Answer:

x = 250

y = 125

u(x,y) = 3125500

Step-by-step explanation:

As given,

The utility function u(x, y) = 100xy + x + 2y

$P_{x}$ = 2 , $P_{y}$ = 4

Now,

Budget constraint -

$P_{x}$ x + $P_{y}$ y = 1000

⇒2x + 4y = 1000

So,

Let v(x, y) = 2x + 4y - 1000

Now,

By Lagrange Multiplier

Δu = Δv

⇒< 100y + 1, 100x + 2 > = < 2, 4 >

By comparing, e get

100y + 1 = 2 ........(1)

100x + 2 = 4 .........(2)

Divide equation (2) to equation (1) , we get

$\frac{100y + 1}{100x + 2} = \frac{1}{2}$

⇒2(100y+1) = 1(100x+2)

⇒200y + 2 = 100x + 2

⇒200y = 100x

⇒2y = x

Now,

As 2x + 4y = 1000

⇒2x + 2(2y) = 1000

⇒2x + 2x = 1000

⇒4x = 1000

⇒x = 250

Now,

As 2y = x

⇒2y = 250

⇒y = $\frac{250}{2}$ = 125

∴ we get

x = 250

y = 125

Now,

u(250, 125) = 100(250)(125) + 250 + 2(125)

= 3125000 + 250 + 250

= 3125000 + 500

= 3125500

⇒u(250, 125) = 3125500

3 0

3 years ago