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1 year ago

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Kati and Mateo are getting ready to play a card game. To play the game they start with 222 decks of cards. Each deck has 525252

cards. They remove all 242424 face cards, and then play the game with the remaining cards.
Estimate how many cards are being used for the game.

1 answer:

kvv77 [185]1 year ago

6 0

Answer:

what game are they playing?

Step-by-step explanation:

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Triangle OMG has vertices at O(−3,3), M(4,2), and G(−3,1). Point G is rotated 90° counterclockwise around the origin, forming G'

Irina18 [472]

Answer:

O'(-3,-3) M'(-2,4) G'(-1-3)

Step-by-step explanation:

Rule: rotation of $(x,y)$ counterclockwise around the origin gives $(-y,x)$

Thus

O $(-3,3)$ will be O' $(-3,-3)$

M $(4,2)$ will be M' $(-2,4)$

G $(-3,1)$ will be G' $(-1,-3)$

Therefore $O'$ $(-3,-3)$ , $M'$ $(-2,4)$ and $G'$ $(-1,-3)$ would be the answer.

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Tatooine is a fictional desert planet that appears in the Star Wars franchise. It is home to many settlers, including humans. Le

Dovator [93]

Answer:

a) For this case we select a sample size of n =9. And the distribution for the sample mean is given by:

$\bar X \sim N (\mu , \sqrt{\frac{\sigma}{\sqrt{n}}})$

With the following parameters:

$\mu_{\bar X}= 96$

$\sigma_{\bar X} = \frac{23.3}{\sqrt{9}} =7.767$

b) $P(95< \bar X < 100)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for the limit we got:

$z = \frac{95-96}{\frac{23.3}{\sqrt{9}}}= -0.129$

$z = \frac{100-96}{\frac{23.3}{\sqrt{9}}}= 0.515$

$P( -0.129 < Z< 0.515) = P(Z$

The sketch is on the figure attached

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(96,23.3)$

Where $\mu=96$ and $\sigma=23.3$

Part a

For this case we select a sample size of n =9. And the distribution for the sample mean is given by:

$\bar X \sim N (\mu , \sqrt{\frac{\sigma}{\sqrt{n}}})$

With the following parameters:

$\mu_{\bar X}= 96$

$\sigma_{\bar X} = \frac{23.3}{\sqrt{9}} =7.767$

Part b

For this case we want this probability:

$P(95< \bar X < 100)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for the limit we got:

$z = \frac{95-96}{\frac{23.3}{\sqrt{9}}}= -0.129$

$z = \frac{100-96}{\frac{23.3}{\sqrt{9}}}= 0.515$

$P( -0.129 < Z< 0.515) = P(Z$

The sketch is on the figure attached

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Match each type of function with a characteristic of its graph. Enter the letter of the correct characteristic next to the type

Lerok [7]

Answer:

Linear Function: Its graph has a constant slope (D).

Quadratic Function: Its graph is a parabola (B).

Inverse Variation Function: Its graph has both a horizontal asymptote and a vertical asymptote (F).

Square-root Function: Its graph has a closed endpoint (A).

Exponential Function: Its graph has a horizontal asymptote, but not a vertical asymptote (C).

Logarithmic Function: Its graph is a reflection of the graph of an exponential function in the line <em>y = x </em>(E).

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Solve for x in the equation ]x^{2} - 12x + 59 = 0

Vedmedyk [2.9K]

Step-by-step explanation:

$x^{2} - 12x + 59 = 0$

Given equaiton is in the form of ax^2 +bx+c=0

we apply quadratic formula to solve for x

$x= \frac{-b+-\sqrt{b^2-4ac} }{2a}$

a= 1 b = -12 and c= 59

$x= \frac{12+-\sqrt{(-12)^2-4(1)(59)}}{2(1)}$

$x= \frac{12+-\sqrt{92}}{2}$

$x= \frac{12+-2\sqrt{23}}{2}$

Divide the 12 and square root terms by 2

$x=6+-\sqrt{23}$

so $x=6+\sqrt{23}$ and $x=6-\sqrt{23}$

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Cory predicts it will take him 64 minutes to travel to Baltimore from Washington D.C. If the trip actually took 74 minutes, what

n200080 [17]

Answer:13.5

Step-by-step explanation:

the answer is 13.5

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