A pharmacist receives a shipment of 18 bottles of a drug and has 3 of the bottles tested. If 6 of the 18 bottles are contaminated, what is the probability that less than 2 of the tested bottles are contaminated

Answer:

The principle of limited government is an example of the idea that the government does not stand above the law. The Principle of Federalism divides the power of the government among the different levels of the government (national, state, local).

Step-by-step explanation:

Answer:

rule of law means that the government is not above the law.

Step-by-step explanation:

Answer:

$360 and you will save $40

Step-by-step explanation:

400=100%

40=10%

400-40=360

Answer:

x² + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

(7x² + 8x - 4) - (6x² + 8x - 6)

Step 2: Simplify

Answer:

x ² + 2

Step-by-step explanation:

7 x² + 8 x - 4 - 6 x² + 8 x - 6

combine like terms

7 x² - 6 x² + 8 x - 8 x - 4 + 6

x² - 4 + 6

x ² + 2

The f(x) = 2x^2 + 4, so f(4) = 2(4)^2 + 4 = 36.

To find (Fog)(0), we first need to find g(0) and then plug that value into f(x).

We have g(x) = -3x + 4, so g(0) = -3(0) + 4 = 4.

Now we have (Fog)(0) = f(g(0)) = f(4).

We have f(x) = 2x^2 + 4, so f(4) = 2(4)^2 + 4 = 36.

Therefore, (Fog)(0) = 36.

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The probability is approximately 0.495.To calculate the probability of selecting 8 female students and 4 male students from the history class for the oral exam,

we can use the concept of combinations.

The total number of students in the class is 9 (female) + 5 (male) = 14.

The number of ways to choose 8 female students from the 9 available is denoted as C(9, 8) or "9 choose 8," which can be calculated as follows:

C(9, 8) = 9! / (8!(9 - 8)!) = 9

Similarly, the number of ways to choose 4 male students from the 5 available is denoted as C(5, 4) or "5 choose 4," which can be calculated as follows:

C(5, 4) = 5! / (4!(5 - 4)!) = 5

The total number of ways to choose 12 students from the class is denoted as C(14, 12) or "14 choose 12," which can be calculated as follows:

C(14, 12) = 14! / (12!(14 - 12)!) = 91

The probability of selecting 8 female students and 4 male students can be calculated by dividing the number of favorable outcomes (choosing 8 female students and 4 male students) by the total number of possible outcomes (choosing any 12 students). Therefore, the probability is:

P(8 female and 4 male) = (C(9, 8) * C(5, 4)) / C(14, 12) = (9 * 5) / 91 ≈ 0.495

Rounding to 3 decimal places, the probability is approximately 0.495.

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Answer:

1.75a + 8b

Step-by-step explanation:

0.75a + 10b + a - 2b ← collect like terms

= (0.75 + 1a) + (10b - 2b)

= 1.75a + 8b

Answer:

1.75a+8b

Step-by-step explanation:

Given here, 0.75a + 10b + a – 2b = 0.75a+a+10b-2b

                                                     =1.75a+8b

Hence, The required equivalent expression is 1.75a+8b

Answer:

Step-by-step explanation:

I'm going to start with problem 3. You need to become familar with the kind of tricks teachers play on you.

Problem 3 depends on getting RS = RW.

RT = RT                                    Reflexive property

<STR = <WTR                           A straight line having 1 rt angle  actually has 2

ST = TU                                    They are marked as equal

Triangle STR=Triangle WTR    SAS

RS = RW                                    Corresponding parts of = triangles are =

8x = 6x + 5                                Subtract 6x from both sides

8x -6x = 6x - 6x + 5                   Combine

2x = 5                                         Divide by 2

2x/2 = 5/2

x = 2.5

RU = 6*2.5 + 5

RU = 15 + 5

RU = 20

Now we can play with Question 4.

This question depends on the method used in three, although not entirely.

What you need to know is that W is on RT when you take a ruler and make RT longer. You can put W anywhere as long as it is on RT when it is made longer.

Directions

Make RT longer. Draw down and to your right.

Put a point anywhere on the length starting at T. Label this new point as W. There's your W. It goes anywhere on the part of RT made longer.

Draw UW.

Label UW as 8

Now draw another line from S to W. Guess what? By the methods used in question 3, it's also 8. So SW = 8

TW = TW                        Reflexive

<UTW = STW                 Same reason as in 3. UtW is a right angle

UT = ST                          Given (the marking tells you so.

ΔUTW = ΔSTW              SAS

UW = SW                       Corresponding parts of = triangles are =

SW  = 8

wwwwwwwwwwwwwwwwwwww

Probability the right choices are A and D.A is 50% and D is 25%.

The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.

We are aware that a given event's probability is also its likelihood to occur.

Every event has a probability that ranges from 0 to 1.

If the event won't ever happen, the value is zero; if it will definitely happen, the value is 1.

Moreover, the likelihood may be expressed as a ratio or a percentage, with the percent possible to range from 0% to 100%.

hence, of the available options:

B) 557 is false because the probability is larger than 1, hence it cannot be true.

d) Because there is a higher probability than 1, the calculation 1104=104 is wrong.        

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Answer

a and d

Step-by-step explanation:

the probability that the animal selected is not a chicken is 4/5 or 0.8, which is the answer.

There are a total of 6 + 4 + 10 = 20 animals on Giovanna's farm.

The probability of selecting a chicken randomly is 4/20 = 1/5, since there are 4 chickens out of 20 animals.

Therefore, the probability of not selecting a chicken is the complement of this probability, which is:

1 - 1/5 = 4/5

what is probability?

Probability is a measure of the likelihood that an event will occur. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

For example, if you flip a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 1/2, because there is one favorable outcome (heads) out of two possible outcomes (heads or tails).

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Bisection is a process that produces two equal parts of angles or lines. Thus applying the bisection principle, the measure of angle lmn = \(168^{o}\)

This question deals with sub-bisection of angles. Bisection is the method required to divide a given angle or line into two equal parts.

From the given question:  m<rmp = \(21^{o}\)     (given)

But,

m<qmp = m<rmp + m<qmr = 2 x m<rmp      (addition property of bisected angles)

            = 2 x \(21^{o}\)

m<qmp = \(42^{o}\)

Also,

m<lmp = m<lmq + m<qmp = 2 x m<qmp      (addition property of bisected angles)

            = 2 x \(42^{o}\)

m<lmp  = \(84^{o}\)

Then,

m<lmn = m<lmp + m<pmn  = 2 x m<lmp (addition property of bisected angles)

           = 2 x \(84^{o}\)

m<lmn = \(168^{o}\)

Thus, the measure of angle lmn is \(168^{o}\).

A simple sketch is attached to the answer for more clarifications.

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The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

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Answer:

\( = \frac{33}{14} \)

Step-by-step explanation:

\( - 10 \frac{2}{7} + ( - 4 \frac{4}{11} )\)

➡️ \( - \frac{72}{7} \div - ( \frac{48}{11} )\)

➡️ \( \frac{72}{7} \times \frac{11}{48} \)

➡️ \( \frac{3}{7} \times \frac{11}{2} \)

➡️ \( \frac{33}{14} \) ✅

Answer: (a) 64°

(b) Yes, it is safe

Step-by-step explanation:

A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.

We solve the above question using the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse sides

θ = Angle formed with the ground = ?

Opposite side = 27 ft

Hypotenuse side = 30 ft

Hence,

sin θ = 27 ft/30 ft

sin θ = 9/10 = 0.9

θ = arc sin (0.9)

θ = 64.158067237°

Approximately to the nearest whole number = 64°

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?

From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°

Hence:

64° < 70°

Therefore, the ladder will be safe the way it is positioned.

Answer:

We have 31/36 gallons of paint left after painting the mural.

Step-by-step explanation:

"Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction."

==================================================================

First change each number into a improper fraction:

1 1/8 = 9/8

1 1/9 = 10/9

7/8 = 7/8

=================================================================

"If Mark has 9/8 gallons of yellow paint, and he uses 3/4 gallons"

  -We have to multiply 3/4 by 2/2 to make the denominators same.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 9/8.

9/8 - 6/8 = 3/8

We will have 3/8 gallons of yellow paint.

==================================================================

"If Mark uses 10/9 gallons of green paint, and he uses 3/4 gallons"

     - We have to multiply 10/9 by 4/4, and 3/4 by 9/9, to get a common denominator.

10/9 × 4/4 = 40/36

3/4 × 9/9 = 27/36

Now subtract 27/36 from 40/36

40/36 - 27/36 = 13/36

We will have 13/36 gallons of green paint.

==================================================================

"If Mark uses 7/8 gallons of blue paint, and he uses 3/4 gallons"

        -We have to multiply 3/4  by 2/2 to get a common denominator.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 7/8.

7/8 - 6/8 = 1/8

We will have 1/8 gallons of yellow paint.

==================================================================

Now, we will add the leftover amounts of paint to find the answer.

3/8 + 13/36 + 1/8

Add "like terms".

4/8 + 13/36

Simplify 4/8 into 1/2

1/2 + 13/ 36

Multiply 1/2 by 18/18 to get a common denominator.

1/2 × 18/18 = 18/36

Substitute 18/36 as 1/2 in the expression.

18/36 + 13/36 = 31/36

So, We have 31/36 gallons of paint left after painting the mural.

==================================================================

Hope I helped, Have a nice day!

              -Aadi x

The probability that 5 messages are received in 1 hour is is 0.1755 ,the probability that 10 messages are received in 1.5 hours is 0.0858 and the probability that less than 2 messages are received in 1/2 hour is 0.2873

Let X shows the number of messages received per hour. The pdf of X is

\(P(X=x)=\) \(\frac{e^{-5}\cdot 5^{x}}{x!},x=0,1,2,3,....\)

Therefore, the probability that 5 messages are received in a single hour is

\(P(X=5)=\frac{e^{-5}\cdot 5^{5}}{5!}=0.1755\)

(b) Number of message received in 1 hour is 5 so number of message received in 1.5 hour is 7.5. So the probability that 10 messages are received in 1.5 hours is

\(P(X=10)=\frac{e^{-7.5}\cdot 7.5^{10}}{10!}=0.0858\)

(c) Number of message received in 1 hour is 5 so number of message received in 1/2 hour is 2.5. So the probability that less than 2 messages are received in 1/2 hour is

\(P(X < 2)=\frac{e^{-2.5}\cdot 2.5^{0}}{0!}+\frac{e^{-2.5}\cdot 2.5^{1}}{1!}=0.2873\)

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Answer: When looking for this graph on your work, it is a parabola opening upwards (positive) with a vertex at (-1,3)

Step-by-step explanation:

Sure! Here's a block diagram representation of a 5-to-32 line decoder using four 3-to-8 line decoders with enable (3:8 decoder with enable) and a 2-to-4 line decoder.

     _________       _________       _________       _________

    |         |     |         |     |         |     |         |

IN[4] | 5:32    |     | 3:8     |     | 3:8     |     | 3:8     |

----->| Decoder |---->| Decoder |---->| Decoder |---->| Decoder |----> Y[31]

    |_________|     |_________|     |_________|     |_________|

    |                           | |                           |

IN[3] |                           | |                           |

----->|                           | |                           |

    |          3:8 Decoder       | |          3:8 Decoder       |

    |___________________________| |___________________________|

    |                           | |                           |

IN[2] |                           | |                           |

----->|                           | |                           |

    |          3:8 Decoder       | |          3:8 Decoder       |

    |___________________________| |___________________________|

    |                           | |                           |

IN[1] |                           | |                           |

----->|                           | |                           |

    |          3:8 Decoder       | |          3:8 Decoder       |

    |___________________________| |___________________________|

    |                           | |                           |

IN[0] |                           | |                           |

----->|          2:4 Decoder       | |                           |

    |___________________________| |          3:8 Decoder       |

                                   |___________________________|

Inputs:

IN[4:0]: 5-bit input lines

Outputs:

Y[31:0]: 32 output lines

The 5-to-32 line decoder takes a 5-bit input (IN[4:0]) and produces 32 output lines (Y[31:0]). It uses four 3-to-8 line decoders with enable (3:8 Decoder) to decode the input bits and generate intermediate outputs. The intermediate outputs are then connected to a 2-to-4 line decoder (2:4 Decoder) to produce the final 32 output lines (Y[31:0]).

Note: The enable lines for the 3-to-8 line decoders are not shown in the diagram for simplicity. Each 3-to-8 line decoder will have its own enable input, which can be used to enable or disable the decoder's functionality.

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Answer:

The name of the solid with 20 faces that are congruent equilateral triangles is icosahedron.

The solid you are referring to is called an icosahedron. An icosahedron is a specific type of convex polyhedron that has 20 faces. In this case, all 20 faces are congruent equilateral triangles. Option d is correct answer.

To understand why this solid is called an icosahedron, let's break down the term. "Icosa-" comes from the Greek word for twenty, while "-hedron" means face. Therefore, an icosahedron is a polyhedron with twenty faces.

Each face of an icosahedron is an equilateral triangle, meaning that all three sides of the triangle are equal in length, and all three angles are equal to 60 degrees. Since all 20 faces are congruent, they have the same side lengths and angles.

The icosahedron has a total of 12 vertices and 30 edges. The vertices are the points where three edges meet, and the edges are the line segments connecting the vertices. The icosahedron has a symmetrical and regular structure, making it one of the five Platonic solids.

An icosahedron is a convex polyhedron with 20 congruent equilateral triangle faces, 12 vertices, and 30 edges.

Option d is correct answer.

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Answer:

9x, 8x+12

Step-by-step explanation:

x(2x+7)-2x(x-1)

=> 9x

Answer:

ok so if its 12 ounces that means that y cost 24 more so

1.80 then it goes up by 3 ounces to 15

3*2=6

1.80+0.06=

1.86

Hope This Helps!!!

When a ball is droped from 2m heights and rises by 75%, then the height of ball after forth bounce is equals to 0.632 meters.

If an object is thrown from high and has a bouncing feature, each bouncing is less than the initial height until it stops. Each bounce reduces the growth rate until it reaches zero. In order to calculate the height of each bounce, so we can estimate what percentage the object will reach after each bounce. If we get the percentage of each bounce, we can easily determine the height of each bounce. We have, a ball is droped from 2 meters and bounce up to 75%. That is height of first bounce is determined by using percentage, height is 2 m × 75% = 2 m×0.75 = 1.5 m

In second bounce, height is 1.5 m × 75%

= 1.5 m×0.75 = 1.12 m

In third bounce, 1.12 m× 75%

= 1.12 m×0.75 = 0.843 m

In forth bounce, height is 0.843× 75%

= 0.843× 0.75 = 0.632 m

The height the ball reaches on its forth bounce is 0.632 m.

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Complete question :

A ball is dropped from a height of 2 meters and rises up by 75% of its height on each bounce. How high would the forth bounce be?

Answer:

yes

Step-by-step explanation:

First we should find a GCF for the number of boys and girls.

The gcf for the two would be 4.

Divide.

20/4 = 5

28/4= 7

therefore the ratio for boys to girls would be 5 to 7

Answer:

500N

Step-by-step explanation:

his father weighs 500N

Answer:3/4*5=3 3/5

Step-by-step explanation:

The required answer is evaluated expression is 24.

the given expression: 2 x 3 + 2 3 x 3.

Explanation:-

Step 1: Perform the multiplication operations first, according to the order of operations (PEMDAS/BODMAS).
- 2 x 3 = 6
- 3 x 3 = 9

Step 2: Substitute the results of the multiplication back into the expression.
- 6 + 2 9

Step 3: Evaluate the remaining operation (addition).
- 6 + 2(9)

Step 4: It seems like there might be a missing operation between 2 and 9. Assuming it's multiplication, then the expression would be:
- 6 + 2 x 9

Step 5: Perform the multiplication operation.
- 2 x 9 = 18

Step 6: Substitute the result back into the expression.
- 6 + 18

Step 7: Evaluate the remaining operation (addition).
- 6 + 18 = 24
To evaluate the expression 2 x 3 + 2 3 x 3, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). Since there are no parentheses or exponents, we can perform the multiplication first: 2 x 3 = 6 2 3 x 3 = 18 Now we have: 6 + 18 To complete the expression, we add: 6 + 18 = 24 Therefore, the answer to the expression 2 x 3 + 2 3 x 3 is 24.
So, the evaluated expression is 24.

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15 green markers

because 4 x 3 = 12

5 x 3 = 15