Angel Sanchez has 10 books on a shelf; 5 mysteries, 4 science fiction books, and 1 biography. Determine the probability of each situation below.
a) Selecting one biography and then one mystery, with replacement
b) Selecting one biography and then one mystery, without replacement
a) The probability of selecting one biography and then one mystery, with replacement, is 17
(Type an integer or a simplified fraction)

Answers

Answer 1

Answer:

a)  1/10 x 5/10 = 1/20

b) 1/10 x 5/9 = 1/18

Step-by-step explanation:

Answer 2

a) Probability of selecting one biography and then one mystery, with replacement: 1/20

b) Probability of selecting one biography and then one mystery, without replacement: approximately 0.0556 or 5.56%.

The probability of each situation can be calculated as follows:

a) Selecting one biography and then one mystery, with replacement:

With replacement means that after each selection, the book is put back on the shelf before the next selection.

The probability of selecting the biography first is 1 out of 10 books (since there is 1 biography out of 10 books).

The probability of selecting the mystery book next is 5 out of 10 books (since there are 5 mysteries out of 10 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/10) = 1/20

So, the probability of selecting one biography and then one mystery, with replacement, is 1/20.

b) Selecting one biography and then one mystery, without replacement:

Without replacement means that after each selection, the book is not put back on the shelf before the next selection.

The probability of selecting the biography first is still 1 out of 10 books.

However, after selecting the biography, there are now 9 books left on the shelf, and the probability of selecting a mystery is 5 out of 9 books (since there are 5 mysteries out of the remaining 9 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/9) ≈ 0.0556 or 5.56%

So, the probability of selecting one biography and then one mystery, without replacement, is approximately 0.0556 or 5.56%.

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Answers

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

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Whether the parallelogram ABCD is a rhombus, rectangle or square.

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[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

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[tex]AB=\sqrt{(-4-(-4))^2+(-1-7)^2}[/tex]

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[tex]BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8[/tex]

[tex]CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8[/tex]

[tex]AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8[/tex]

All sides of parallelogram are equal.

[tex]AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}[/tex]

[tex]BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}[/tex]

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Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

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Louis is buying groceries and stops at the deli counter to purchase sliced Swiss cheese. The deli uses a scale like the one shown to calculate the weight and price of deli purchases.

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What is the question? And there is no image of the scale.

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1/2 yard is equal to 18 inches

Step-by-step explanation:

True or false
2+(-2) is equal to zero.

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Answer:

It is TRUE.

Other:

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While President, Obama received an average of 60, 000 letters per week at the White House.
Approximately how many letters does he receive in a day?

Answers

Answer:

8571 letters per day

Step-by-step explanation:

60,000/1 week is the same as 60,000/7 days so

60,000/7 = 8571.428571

is aproximately 8571 letters per day

How much simple interest would Kaitlin earn on $300 at 6% for 3 months?

A. 27

B. 9

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D. 18

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Answer:

C) $54.00

Step-by-step explanation:

300*6%*3

300*0.06*3

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Answers

Answer:

5th grade mean - 4.67

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Answers

Answer:

Already simplified

Step-by-step explanation:

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step

Answer:

mean=8+2+7+2+6+5

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Answers

Answer:

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Answer:

pretty sure it's

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

just took the quiz

99.7% of the cows will produce an amount of milk in the range is 5.5 gallons to 6.9 gallons option (A) is correct.

What is a normal distribution?

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

The missing options are:

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We have:

A study has shown that the daily amount of milk produced by a dairy cow is normally distributed, with a mean of 6.2 gallons and a standard deviation of 0.7 gallons.

The mean = 6.2 gallons

Standard deviation = 0.7 gallons

The range can be calculated:

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Upper range = 6.2 + 0.7 = 6.9 gallons

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Learn more about the normal distribution here:

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L.B Johnson middle miguel took part

Answers

Answer:

Johnson Middle School held a track and field event during the school year. Miguel took part in a four-person shot put team. Shot put is a track and field event where athletes throw (or "put") a heavy sphere, called a "shot," as far as possible.

Step-by-step explanation:

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Step-by-step explanation: Hope it helped! :)

Suppose a country's population at any time t grows in accordance with the rule dP dt = kP + I where P denotes the population at any time t, k is a positive constant reflecting the natural growth rate of the population, and I is a constant giving the (constant) rate of immigration into the country. If the total population of the country at time t = 0 is P0, find an expression for the population at any time t.

Answers

Answer:

[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]

Step-by-step explanation:

Given that:

A country population at any given time (t) is:

[tex]\dfrac{dP}{dt}= kP+I[/tex]

where;

P = population at any time t

k = positive constant

I = constant rate of immigration into the country.

Using the method of separation of the variable;

[tex]\dfrac{dP}{kP+1}= dt[/tex]

Taking integration on both sides:

[tex]\int \dfrac{dP}{kP+I}= \int \ dt[/tex]

[tex]\dfrac{1}{k} log (kP + I) = t+c_1 \ \ \ here: c_1 = constant \ of \ integration[/tex]

[tex]log (kP + I) =k t+kc_1[/tex]

By applying the exponential on both sides;

[tex]e^{log (kP + I) }=e^{k t+kc_1 }[/tex]

[tex]KP+I = e^{kt} *e^{kc_1}[/tex]

Assume [tex]e^{kc_1 }= C[/tex]

Then:

[tex]kP + I = Ce^{kt}[/tex]

[tex]kP = Ce^{kt}-I[/tex]

[tex]P =\dfrac{ Ce^{kt}-I}{k} \ \ \---- Let \ that \ be \ equation \ (1)[/tex]

When time t = 0, The Total population of the country is also [tex]P_o[/tex]

[tex]P_o = \dfrac{Ce^{0(t)} -I}{k}[/tex]

[tex]P_o = \dfrac{Ce^{0} -I}{k}[/tex]

[tex]P_o = \dfrac{C-I}{k}[/tex]

C - I = kP₀

C =  kP₀ + I

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[tex]P =\dfrac{ (kP_o+1)e^{kt}-I}{k}[/tex]

[tex]P =\dfrac{ (kP_o+1)e^{kt}}{k} - \dfrac{I}{k}[/tex]

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A principal purchased a total of 32 gas cards and movie passes for prizes. Each gas card cost $25.75, and each movie pass cost $7.25. If the principal spent a total of $454.00, how many gas cards did the principal purchase?

Answers

Answer: 12

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Answers

Answer:

29

Step-by-step explanation:

The answer is 29 hope this helps you! :)

In a right-angled triangle
, one acute angle is 30°. Find the other acute angle
VII CLASS MATHEMATICS​

Answers

Answer:

60°

Step-by-step explanation:

sum of all angles is 180

and it's a right-angled triangle so there is angle = 90

so  the other acute angle = 180-30-90=60°

Answer:

60

Step-by-step explanation:

90+30= 120

180-120= 60

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