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3 years ago

8

Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probab

ility that you will draw two spades? Express your first answer as a fraction in simplest form

1 answer:

dem82 [27]3 years ago

7 0

Answer:

Hence the probability of getting 2 spades will be 1/16

Step-by-step explanation:

Given:

Two deck if playing cards

To Find:

Probability that will get two spades

Solution:

As we know that ,there 52 playing cards in a deck

and 13 of that are spades

So probability of getting spade from a deck is ,

<em>P(spades)=total number of spades /Total number of cards.</em>

P=13/52

P=1/4

Similar for the second deck of card,

Required probability is that , getting spades from each deck

It is given by,

Required probability =Probability of spades in 1st AND Probability of spade in 2nd deck

<em>As there is use of AND operator there should multiplication of two events,</em>

<em>Required probability =1/4*1/4</em>

=1/16

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<h3>How to determine the number of strides?</h3>

The given parameters are:

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The number of strides needed is then calculated as:

Number of stride = Distance for marathon/Length of stride

Substitute the known values in the above equation

Number of stride = 9km/1.4m

Convert km to m

Number of stride = 9000m/1.4m

Evaluate the quotient

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2 years ago

Which of the following are solutions for x<br> in the equation ax2 = bx?<br> Select all that apply.

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3 years ago

A detective finds a victim of murder at 9 am. At that time, the temperature of the body is 90.3 degrees F. One hour later, the b

LekaFEV [45]

Answer:

Step-by-step explanation:

Given

at 9 am temperature of the body is $90.3^{\circ}F$

1 hr later temperature $89^{\circ}F$

Temperature of room $T=68^{\circ}F$

According to newtons law

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-T_{room}\right )$

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-68\right )$

$\frac{dT}{T-68}=-kdt$

Integrating

$=\int \frac{dT}{T-68}=-kdt$

$\ln |T-68|=-kt+c$

$T-68=Ae^{-kt}$

Now at 9 am i.e. t=0,

$90.3=A+68$

$A=22.3$

At 10 am i.e. t=1 hr T=89

$89-68=22.3e^{-k}$

$e^{-k}=21$

$k=0.06006$

Temperature of Normal human body is $T=98.6 ^{\circ}F$

$98.6-68=e^{-0.06006t}$

$30.6=e^{-0.06006t}$

Taking log both sides

$t=-5.27$

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3 years ago

10. Polygon WXYZ has vertices W(-1.5, 1.5),

vovikov84 [41]

Answer:

See explanation

Step-by-step explanation:

Polygon WXYZ has vertices W(-1.5, 1.5), X(6, 1.5), Y(6, -4.5), and Z(-1.5, -4.5).

Find the slopes of all sides:

$WX:\ \dfrac{1.5-1.5}{6-(-1.5)}=\dfrac{0}{7.5}=0$ - horizontal line

$XY:\ \dfrac{-4.5-1.5}{6-6}=\dfrac{-6}{0}$ - slope undefined, so the line is vertical

$YZ:\ \dfrac{-4.5-(-4.5)}{-1.5-6}=\dfrac{0}{-7.5}=0$ - horizontal line

$ZW:\ \dfrac{1.5-(-4.5)}{-1.5-(-1.5)}=\dfrac{6}{0}$ - slope undefined, so the line is vertical

Vertical and horizontal lines are perpendicular, so all angles W, X, Y and Z are right angles. Hence, quadrilateral WXYZ is a rectangle

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