The questions a,b,c,d

Answer:

33%

Step-by-step explanation:

moving the decimal two places to the right

The quotient of 1065 ÷ 33 is \(32\ \frac{3}{11}\) .

1065 ÷ 33 = 32.2727272727

Dividend = 1065

divisor = 33

quotient = 32

balance = 9

answer as a mixed number  \(32\ \frac{9}{33} = 32\ \frac{3}{11}\)

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Using the concept of conditional probability and the conditions provided, The answer is \(\frac {p^2}{2pq}\) .

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probabilities can be calculated using the ratio of the number of favorable outcomes to the total number of possible outcomes. It helps us to understand the uncertainty of events.

A false positive result is when a test indicates that a particular condition or attribute is present, when in reality it is not. For example, in medical testing, a false positive result would occur when a test for a disease returns a positive result but the person being tested does not actually have the disease. False positives can have serious consequences, as they can lead to unnecessary treatments, further testing, and anxiety for the person being tested.

p=probability of occurrence

q=1-p

P(false positive for both subjects | false positive for one subject) = P(false positive for both subjects and false positive for one subject) / P(false positive for one subject)

P(false positive for both subjects | false positive for one subject) = p^2 / (2pq)

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Answer:

14,000

Step-by-step explanation:

13,649

the 6 in the hundredths place rounds up therefore the 3 in the thousands place turns into a 4

Answer:

d

Step-by-step explanation:

Among the given four options, the word that doesnot have similar meaning to condemn is "critique".

The word "condemn" means to express strong disapproval or criticism of something or someone, often in a formal or official manner. It can also mean to pronounce a judgment of guilt, especially in a court of law. It implies a severe judgment or punishment. Condemn also implies the declaration of something being morally wrong or unacceptable. It is a strong word that carries a sense of condemnation or blame.

The sentences are given below:

The word that does not have a similar meaning to "condemn" is "critique".

"Condemn" means to express strong disapproval of something or someone, often in a formal or official manner.

"Criticize" means to express disapproval or to find fault with something or someone

"Censure" means to express strong disapproval or criticism of something or someone, typically in a formal or official manner.

"Disparage" means to speak or write about in a negative way; to belittle or criticize.

"Critique" means to evaluate (a work of art, literary work, etc.) in terms of its strengths and weaknesses; to give an analysis or evaluation of something."Critique" is different because it is an analysis or evaluation of something, whereas the other words are about expressing disapproval or criticism.

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By analyzing and understanding the graph of the absolute value function, we find that the function evaluated at the x-value equal to 1 is equal to the y-value equal to 3.

In this problem we find the representation of an absolute value function, where the horizontal axis corresponds to the values of the domain, whereas the vertical axis is for the values of the range. In that picture we must look up for the y-value associated with a given x-value.  

Then, we proceed to evaluate the absolute value function at x = 1. In accordance with the graph, the y-value , that is, from the vertical axis, associated with the x-value, that is, from the horizontal axis, equal to 1 is equal to a value of 3.

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The amount of coffee worth $7 a pound that should be added is given by A = 45 pounds

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the amount of coffee worth $7 a pound that should be added be A

And , the amount of coffee worth $ 2 is = 30 pounds

Let the cost per pound for the mixture is = $ 5

The total amount of mixture = 5 ( 30 + A )

On simplifying the equation , we get

2 ( 30 ) + 7 ( A ) = 5 ( 30 + A )

60 + 7A = 150 + 5A

Subtracting 5A on both sides , we get

60 + 2A = 150

Subtracting 60 on both sides , we get

2A = 90

Divide by 2 on both sides , we get

A = 45 pounds

Hence , the amount of coffee is 45 pounds

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The circumference and area of the base, and the volume of the cylinder are 88/7 cm, 88/7 cm²,  and 176 cm³ respectively.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The circumference of the base of a cylinder is expressed as:

C = 2πr

The area is expressed as:

A = πr²

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is the radius of the circular base, h is height and π is constant pi ( π = 22/7 )

Given that:

Diameter d = 4cm

Radius d/2 = 4/2 = 2cm

Height h = 14cm

i) Circumference of the base:

C = 2πr

C = 2 × 22/7 × 2cm

C = 88/7 cm

ii) Area of the base:

A = π × r²

A = 22/7 × 2²

A = 88/7 cm²

iii) Volume of the cylinder:

V = π × r² × h

V = 22/7 × 2² × 14

V = 176 cm³

Therefore, the volume is 176 cubic centimeters.

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The area of the triangle is approximately 36.83 square units.

To find the area of a triangle using calculus, we can use the formula:

A = (1/2) ∫(x2 - x1)dy

Where x1 and x2 are the x-coordinates of the vertices, and dy is the change in the y-coordinate.

First, we need to find the equations of the lines that make up the sides of the triangle. The line between (0,0) and (6,1) has the equation y = (1/6)x. The line between (6,1) and (3,7) has the equation y = -2x + 13. The line between (3,7) and (0,0) has the equation y = (7/3)x.

Now we can use the formula to find the area of the triangle. We'll integrate from y = 0 to y = 1 for the first side, from y = 1 to y = 7 for the second side, and from y = 7 to y = 0 for the third side:

A = (1/2) ∫(x2 - x1)dy

= (1/2) ∫[(6x - 0) - (0 - 0)]dy from y = 0 to y = 1

+ (1/2) ∫[(13 - 2x) - (6x - 0)]dy from y = 1 to y = 7

+ (1/2) ∫[(0 - 0) - (7x/3 - 0)]dy from y = 7 to y = 0

= (1/2) ∫6xdy from y = 0 to y = 1

+ (1/2) ∫(13 - 8x)dy from y = 1 to y = 7

+ (1/2) ∫(-7x/3)dy from y = 7 to y = 0

= (1/2) [(3 - 0) + (49 - 8) + (-49/3 - 0)]

= (1/2) [(3) + (41) + (-49/3)]

= (1/2) [(147/3) + (123/3) + (-49/3)]

= (1/2) [(221/3)]

= 36.83

So the area of the triangle is approximately 36.83 square units.

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Answer:

Equal

Step-by-step explanation:

The angles are vertical. So they are both 73 degrees.

0.8133 is the probability  that a randomly chosen test taker will score between 560 and 640.

Probability is the possibility that something will happen, to put it simply. We can talk about the chance or likelihood of various outcomes when we don't know how an event will turn out. Events that follow a probability distribution are the subject of statistics.

Probability is a branch of mathematics that deals with numerical representations of how likely it is for an event to occur or for a proposition to be true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates that the event is impossible and 1 indicates certainty.

P(540< x 640)

=  P ( \(\frac{560 - 560}{90}\) < \(\frac{x - mu}{sigma}\) < \(\frac{640-560}{90}\) )

By resolving this, we will obtain a probability ranging from zero to triple zero. Therefore, the likelihood will be zero. Less than zero 89 minutes our chance of being zero is zero. The values are now zero 8133 -0.5 triple zero when utilizing the table. And if we take it out, we get 0.31 33. Therefore, our likelihood of facts here ranges from 5 to 6 40. Its double three at 0.31. Therefore, this is the response to your query.

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The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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Answer:

              9

A=      ______

           b+3g

we know that

If two triangles are similar, then their corresponding angles are congruent

In this problem

we have that

First case

angle x and angle 60 are corresponding angles

angle (x+10) and angle (2x-50) are corresponding angles

so

x=60

x+10=2x-50

2x-x=10+50

x=60

is ok

Second case

angle (x+10) and angle 60 are corresponding angles

angle x and angle (2x-50) are corresponding angles

so

x+10=60

x=50

x=2x-50

2x-x=50

x=50

therefore

Answer:

ask a Tutor its easier when they tell u the answer

Step-by-step explanation:

Area of the triangle with two sides equal 4 cm and 5 cm and the included angle equal to 30° is

\( = \frac{1}{2} \times 4 \times 5 \times sin30 \\ = \frac{1}{2} \times 4 \times 5 \times \frac{1}{2} \\ = 5 \: cm^{2} \)

Hope it will help :)❤

Step-by-step explanation:

There are two page above i think it be useful

Thanks for this question :)

Answer:307.2222 or just 307

Step-by-step explanation:

Answer:

p is 7

Step-by-step explanation:

explaination shown in picture. all the best

Answer:D

Step-by-step explanation:

Answer:

Hey There!

Let's solve....

First let's use the remainder theorem...

\(put \: x - 2 = 0 \\ \boxed{x = 2} \\ \\ f(x) = {x}^{3} + {ax}^{2} + bx + 6 \\ \\ f(2) = 0 = {2}^{3} + {2}^{2}a + 2b \\ + 6 = 0 \)

\(4a + 2b + 6 + 8 = 0 \\ 4a + 2b + 14 = 0 \\ so \: equation \: number \: 1 \: is \\ \boxed{2a + b + 7 = 0}\)

Now it is given that...

\( {x}^{3} + {ax}^{2} + bx + 6 \\ f(3) \to \: remainder = 3 \\ f(3) = 3 \\ {3}^{3} + {3}^{2}a + 3b + 6 = 3 \\ 27 + 9a + 3b + 6 = 3 \\ 9a + 3b + 30 = 0 \)

\(3a + b + 10 = 0 \\ \\ it \: is \: equation \: number \: 2\)

So...

Let's find out the value of a

\(3a + \cancel{b} + 10 = 0 \\ 2a + \cancel{b} + 7 = 0 \\ a + 3 = 0 \\ \\ value \: of \: a \: is \\ \boxed{a = - 3}\)

Let's find value of b...

\(2a + b + 7 = 0 \\ 2x - 3 + b + 7 = 0 \\ b + 1 = 0 \\ value \: of \: b \: is \\ \boxed{b = - 1}\)

So a= -3 and b= -1 is the final answer .....

The values of a and b are -3 and -1 respectively

x³ + ax ²+ bx + 6 has (x - 2) as a factor. Therefore,

(2)³ + a2²+ 2b + 6 = 0

8 + 4a + 2b + 6 = 0

4a + 2b = -14

x³ + ax ²+ bx + 6 leaves a remainder 3 when divided by (x - 3). Therefore,

(3)³ + a3²+ 3b + 6 = 3

27 + 9a + 3b + 6 = 3

9a + 3b = 3 - 33

9a + 3b = -30

4a + 2b = -14

9a + 3b = -30

2b = -14 -4a

b = -7 - 2a

Therefore,

9a + 3( -7 - 2a) = -30

9a - 21 - 6a = -30

3a = -30 + 21

3a = -9

a = -9 / 3

a = -3

4a + 2b = -14

4(-3) + 2b = -14

-12 + 2b = -14

2b = -14 + 12

2b = -2

b = -2 / 2

b = -1

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Clyde and Mason are 432 mi apart from each other in distance.

We are given that:

Clyde and mason can each leave a rest area on the Florida turnpike.

Clyde travels north whereas Mason travels south.

After 4 hr., we get that Clyde has gone 248 mi and Mason, due to the heavy traffic he got , traveled only 184 mi.

We need to tell how far are they from each other.

We will do this by addition.

Distance = 248 mi + 184 mi

Distance = 432 mi.

Therefore, we get that, Clyde and Mason are 432 mi apart from each other in distance.

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Answer:

True

Step-by-step explanation:

Answer:

11.50x + 65.50 = 146

He must sell 7 earbud cases to meet his goal.

Step-by-step explanation:

11.50x + 65.50 = 146

11.50x = 146 - 65.50

x = 80.50/11.50

x = 7

Answer: B

They are interior angles that are on opposite sides. Therefore they are alternate interior angles

Answer:

E and D

Step-by-step explanation:

if it interior angles, then you are left with the options of c,d,e, and f. if its alternate interior angles, then you have the pairs E-D and C-F

hope this helped! ahsad

Step-by-step explanation:

Total pens = 22

Total clips = 30

Probability of red pen = 0

Because there are no red pens

Probability of white clip = 16/30 = 8/15

Answer:

D. x<-15

Step-by-step explanation:

-3x-42>3   Add 42 to both sides.

  +42 +42

-3x>45      Divide both sides by -3.

/-3   /-3

x>-15         Each time you multiply or divide by a negative, you flip the sign.

x<-15

Hope this helps you out!! Have an amazing day ^^

The given force field is F(r,θ,z) = −kr3r^. To check whether the given force is conservative or not, it is required to confirm whether the given force is a central force or not.

Given force is F(r,θ,z) = −kr3r^.

So, F = -kr3r^ where r^ is a unit vector in the radial direction.

In the radial direction, F = F r r^

For the given force, F r = -kr³ is only dependent on the magnitude of the radius vector r, and not on its direction.

In other words, F r is a function of r only and hence the given force is a central force. Thus, the given force is conservative

The potential energy of the particle moving around in F(r,θ,z) = −kr3r^ is given as follows:

V(r) = -W(r) where, W(r) is the work done by the force F(r,θ,z) in moving a particle from infinity to the point P(r,θ,z).

To find W(r), consider a particle starting from infinity moving along a path r→0.

The work done by the force F along this path is given by the integral of F over this path.

W(r→0) = ∫r→0 F(r) · dr = -∫r→0 kr³ · dr = -k/4 r⁴ → infinity

Thus, the potential energy of the particle is V(r) = k/4 r⁴ + C, where C is the integration constant.

As the force is conservative, the total energy of the particle E = K + V is constant where K is the kinetic energy of the particle.

Substituting v = d/dt r in the equation of energy, we get

E = 1/2 m (dr/dt)² + k/4 r⁴ + C.

Rearranging the terms, we get

E = 1/2 m (dr/dt)² + 1/2 k r² + C.

But, we know that, k/4 r⁴= 1/2 k r².

Therefore, E = 1/2 m (dr/dt)² + 1/2 k r² + C.

Thus, the total energy of the particle E is given by

E = 1/2 m (dr/dt)² + 1/2 k r² + C.

The given force F(r,θ,z) = −kr3r^ is a conservative force, as it is a central force. The potential energy of the particle moving around in this force field is given by V(r) = k/4 r⁴ + C, where C is the integration constant. The total energy of the particle E is given by E = 1/2 m (dr/dt)² + 1/2 k r² + C.

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