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loris [4]
3 years ago
15

From a standard deck of cards, what is the probability that you choose a red card and then a 3, assuming you replaced the first

card?
Mathematics
1 answer:
aalyn [17]3 years ago
4 0
1/26: 26 red cards make a 1/2 probability, there are 4 3s in a deck, making a 1/13 probability. Considering you don't take the cards and leave them, (1/2)1/13= 1/26
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Plzzzzz Um can someone Please help me I really need help with this
irina [24]

Answer:

<h2>16.26</h2>

Step-by-step explanation:

Pythagorean Theorem | a^2 + b^2 = c^2

1) Plug in a & b

<h2>11^2 + 12^2 = c^2</h2>

2) Rewrite

<h2>c = \sqrt{11^2 + 12^2}</h2>

3) Solve

<h2>c = 16.2788206</h2>

4) Round

<h2>16.26</h2>
4 0
3 years ago
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. −5x − 25 = 78
AnnyKZ [126]

Answer:

A

Step-by-step explanation:

She should have added 25 to each side in order to cancel it out.

3 0
3 years ago
Read 2 more answers
A tank has the shape of a surface generated by revolving the parabolic segment y = x2 for 0 ≤ x ≤ 3 about the y-axis (measuremen
Darina [25.2K]

Answer:

100\pi\int\limits^9_0 {(\sqrt y)^2(14-y)} \, dy ft-lbs.

Step-by-step explanation:

Given:

The shape of the tank is obtained by revolving y=x^2 about y axis in the interval 0\leq x\leq 3.

Density of the fluid in the tank, D=100\ lbs/ft^3

Let the initial height of the fluid be 'y' feet from the bottom.

The bottom of the tank is, y(0)=0^2=0

Now, the height has to be raised to a height 5 feet above the top of the tank.

The height of top of the tank is obtained by plugging in x=3 in the parabolic equation . This gives,

H=3^2=9\ ft

So, the height of top of tank is, y(3)=H=9\ ft

Now, 5 ft above 'H' means H+5=9+5=14

Therefore, the increase in height of the top surface of the fluid in the tank is given as:

\Delta y=(14-y) ft

Now, area of cross section of the tank is given as:

A(y)=\pi r^2\\r\to radius\ of\ the\ cross\ section

Radius is the distance of a point on the parabola from the y axis. This is nothing but the x-coordinate of the point.

We have, y=x^2

So, x=\sqrt y

Therefore, radius, r=\sqrt y

Now, area of cross section is, A(y)=\pi (\sqrt y)^2

Work done in pumping the contents to 5 feet above is given as:

W=D\int\limits^{y(3)}_{y(0)} {A(y)(\Delta y)} \, dy

Plug in all the values. This gives,

W=100\int\limits^9_0 {\pi (\sqrt y)^2(14-y)} \, dy\\\\W=100\pi\int\limits^9_0 { (\sqrt y)^2(14-y)} \, dy\textrm{ ft-lbs}

7 0
3 years ago
Suppose 44% of the students in a university are baseball players. If a sample of 736 students is selected, what is the probabili
zaharov [31]

Required probability is 0.8990

Given that,

p = 0.44

1 - p = 0.56

n = 736

\mu_\hat{p}} = p = 0.44\\\sigma_\hat{p}} = \frac{p*(1-p)}{n} = \sqrt(\frac{0.44*0.56)}{736} ) =0.01830

Converting Normal distribution to standard normal because  A normal distribution is determined by two parameters the mean and the variance. A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution. Hence it's easy to work with standard normal distribution.

P(0.14<\hat{p}<0.47) =  P((0.41-0.44)/0.01830) < \frac{\hat{p} - \mu _{\hat{p}}  }{\sigma _{\hat{p}} }<(0.47-0.44)/0.01830

Using normal algebra we get:

= P(-1.64 < z < 1.64)

= P(z < 1.64) - P(z < -1.64)

= 0.9495 - 0.0505

= 0.8990

Thus, required probability is 0.8990

To learn more about normal distribution visit:

brainly.com/question/4079902

#SPJ4

3 0
2 years ago
the original purchase price of a car is $14,000. Each year, its value depreciates by 10%. three years later after its purchase,
Luden [163]
A=p (1-r)^t
A=14,000×(1−0.10)^(3)
A=10,206
5 0
3 years ago
Read 2 more answers
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