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klio [65]
3 years ago
10

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer.

Three cards are selected from a standard​ 52-card deck without replacement. The number of acesaces selected is recorded. Does the probability experiment represent a binomial​ experiment?
Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0

Answer:

No. See explanation below.

Step-by-step explanation:

Since the cards are being selected <u>without replacement,</u> every time we select a card, <u>the probability varies</u> (since there is one less card) and therefore, the probability doesn't remain the same for every trial and therefore, the probability of success changes for every trial.

It is because of this that this probability experiment doesn't represent a binomial experiment.

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A minor league baseball team plays 128 games a seanson. If the tam won 16 more than three times as many games as they lost how m
tiny-mole [99]

Answer: The team won 100 games and losses 28 games

Step-by-step explanation:

Let the number of games won denoted by x and the games lost is denoted by y .

Given : A minor league baseball team plays 128 games in a season.

Team won 16 more than three times as many games as they lost.

Then, the system of equations, we have

x+y=128-------(1)\\\\x=3y+16------------(2)

We can rewrite equation (2) as x-3y=16----------------(3)

Now, Eliminate equation (3) from (1), we get

y-(-3y)=128-16\\\\\Rightarrow\ 4y=112\\\\\Rightarrow\ y=\dfrac{112}{4}=28

Substitute the value of y in (2), we get

x=3(28)+16=84+16=100

Hence, the team won 100 games and losses 28 games.

7 0
3 years ago
30 points
igomit [66]
Since the rate of descent is a constant this is a linear equation and can be expressed as:

h=vt+b, where h=feet, v=slope or rate, b=y-intercept (y value when x=0 which is the initial height)

h=-2t+b, using the point (3,67) we can solve for b, or the initial height

67=-2(3)+b

67=-6+b

73=b  so the initial height was 73 ft and the height equation is then:

h(t)=67-2t so when t=8 you have:

h(8)=67-2(8)

h(8)=67-16

h(8)=51 ft
8 0
3 years ago
Which set of equations has (1, 2) as its solution?
FromTheMoon [43]
A and D... i think but i would rather go with A and C
4 0
3 years ago
Can you please put the answer to 60000000x1500 because I have a really important test cin=ming up and
goblinko [34]
90000000000 is the answer for ur question.
3 0
3 years ago
The height of a triangle is 4 sqrt 3 . What is the perimeter of the equatorial triangle?
Karo-lina-s [1.5K]

The perimeter of the equatorial triangle is 24 units

<h3><u>Solution:</u></h3>

Given that,

An equilateral triangle has an height equal to 4 \sqrt{3}

The triangle is shown below

From Triangle ABC in the shown figure AD =4 \sqrt{3}

Let the sides of the equilateral triangle be ‘a’

AB = BC = a

Since, it is an equilateral triangle we get,

BD = DC = a ÷ 2

Now, using Pythagoras Theorem in Triangle ABD,

The Pythagorean theorem is this: In a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

\mathrm{AB}^{2}=\mathrm{BD}^{2}+\mathrm{AD}^{2}

\begin{array}{l}{a^{2}=\left(\frac{a}{2}\right)^{2}+(4 \sqrt{3})^{2}} \\\\ {a^{2}-\left(\frac{a}{2}\right)^{2}=(4 \sqrt{3})^{2}}\end{array}

\frac{4 a^{2}-a^{2}}{4}=16 \times 3

\begin{array}{l}{\frac{3 a^{2}}{4}=16 \times 3} \\\\ {3 a^{2}=192} \\\\ {a^{2}=192 \div 3=64}\end{array}

a = 8

Hence, the three sides of the triangle are 8 units each

In equilateral traingle, length of all three sides of triangle are equal

So, Perimeter = 3 \times (Length of each side of triangle)

Perimeter = 3 \times 8 = 24

Thus the perimeter of the equatorial triangle is 24 units

7 0
3 years ago
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