Gotham government officials have a 71.3% chance of being corrupt. Determine the
probability that a randomly selected Gotham government official is not corrupt.
Q
Your Answer:

Answer:

6

Step-by-step explanation:

200. Move decimal twice to the left. 1% of 200 is 2. 2*3 is 6.

The probability that it is necessary to examine at least 6 bulbs before obtaining a 23-watt bulb is 9/10 or 0.9 (approximately).

To calculate the probability that it is necessary to examine at least 6 bulbs before obtaining a 23-watt bulb, we can use the complementary probability. That is, we can calculate the probability that a 23-watt bulb is obtained within the first 5 selections and then subtract this from 1 to get the probability that at least 6 bulbs must be examined.

The probability of obtaining a 23-watt bulb on the first selection is 1/50. If a 23-watt bulb is not obtained on the first selection, the probability of obtaining one on the second selection is 49/50 x 1/49 = 1/50.

Similarly, the probability of obtaining a 23-watt bulb on the third, fourth, or fifth selection is also 1/50.

Therefore, the probability of obtaining a 23-watt bulb within the first 5 selections is:

P(23-watt bulb in first 5 selections) = P(23-watt bulb on first selection) + P(23-watt bulb on second selection) + P(23-watt bulb on third selection) + P(23-watt bulb on fourth selection) + P(23-watt bulb on fifth selection)

= 1/50 + 1/50 + 1/50 + 1/50 + 1/50

= 1/10

The probability of needing to examine at least 6 bulbs before obtaining a 23-watt bulb is therefore:

P(need to examine at least 6 bulbs) = 1 - P(23-watt bulb in first 5 selections)

= 1 - 1/10

= 9/10

Therefore, the probability that it is necessary to examine at least 6 bulbs before obtaining a 23-watt bulb is 9/10 or 0.9 (approximately).

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Heya !

Given two points A ( 8 , -4 ) and B ( 1 , - 5 )

To find - slope of line AB

Solution -

\( Slope = \frac{y_{2}-y_{1}}{x_{2} - x_{1}} \\ \\ \dashrightarrow \frac{ -5 - (-4 )}{ 1 - 8 } \\ \\ \dashrightarrow \frac{ - 5 + 4 }{ 1 - 8 } \\ \\ \dashrightarrow \frac{-1}{-7} \\ \\ \dashrightarrow \frac{1}{7}\)

Hence ,

Option ( c ) is correct.

Hope helpful ~

By SAS congruence triangle MLN and triangle OLN are congruent.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Given that, LM≅LO, ∠MLN≅∠OLN.

LM≅LO (Given)

∠MLN≅∠OLN (Given)

LN≅LN (Reflexive property of congruence)

ΔMLN≅ΔOLN (SAS congruence)

∠M≅∠O (CPTC)

MN≅ON (CPTC)

Therefore, by SAS congruence triangle MLN and triangle OLN are congruent.

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To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

The inverse function would be x = (y + 3) / -3 and the domain of the inverse function would be (-infinity, -1/3].

What is the inverse function?

An inverse function is a function that "undoes" another function. The inverse function, denoted as f^-1, reverses the direction of the original function, so that if the original function maps x to y, the inverse function maps y to x.

To find the inverse function of a given function, you can switch the x and y variables and solve for y. The inverse function will also have a different domain and range than the original function.

For example, for the function y = 1 - 3x, where x belongs to the interval [-2, 2],

First, we need to switch the x and y variables to get x = 1 - 3y.

Now we need to solve for y,

y = (x + 3) / -3

So the inverse function of y = 1 - 3x, where x belongs to the interval [-2, 2], is

x = (y + 3) / -3

The domain of the original function is [-2, 2] and the range is (-infinity, -1/3], whereas the domain of the inverse function is (-infinity, -1/3] and the range is [-2, 2].

Hence, The inverse function would be x = (y + 3) / -3 and the domain of the inverse function would be (-infinity, -1/3].

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Answer:

m<GFC = 69 degrees

Step-by-step explanation:

The angle with 37 degrees is congruent with the angle on the left of 74 because of the Alternate Interior Angles Postulate

The last angle in the triangle that you don't know the degrees of is on the right of angle 74 because of the Alternate Interior Angles Postulate

So 37+74+ (the degree we don't know of the triangle) = 180 because of linear triples

180 - (37+74) = 69

So the angle on the right of angle 74 = 69

So m<GFC = 69 degrees

Answer:

Its 69

Step-by-step explanation:

the three measures will add up to 180 so all you hace to do is add the angles given and subtract that from 180 to find x

Answer:

hopefully this helps :] 16th line down I think

In order to find the number of white socks in the drawer we can initiate by representing the situation in a graph:

then, using we first statement we separate into groups of 4 socks and select

2 of them as white:

finally, using the third condition, we can make a subgroup of 4 socks and 5 socks knowing there cannot be more than 3 white socks in the group of 5:

Answer:

There are 5 white socks in the drawer

Answer:

2(6+x)

Step-by-step explanation:

1. Multiply the numbers

20+2x-8

2. Subtract the numbers

12+2x

3. Factor 2 from the expression

2(6+x)

Angle EFG is an angle with a measure of 42 degrees is drawn below.

Given that, angle EFG= 42 degrees.

Angle EFG is an angle with a measure of 42 degrees. To draw angle EFG, first draw a line segment and mark two points on the line segment. Label the two points E and F. Then, using a protractor, measure out an angle with a measure of 42 degrees from the line segment EF, starting from point E. Finally, mark the end of the angle as point G.

Therefore, angle EFG is an angle with a measure of 42 degrees is drawn below.

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Answer:

--------------------------------

Definition of sine:

The angle is X, opposite leg is YZ = 24, hypotenuse is XZ = 40.

Substitute the values and find the sine of angle X:

Answer:

\(\sin X=\dfrac{3}{5}\)

Step-by-step explanation:

Sine trigonometric ratio

\(\sf \sin(\theta)=\dfrac{O}{H}\)

where:

From inspection of the given diagram:

Therefore:

Substitute the values into the sine trigonometric ratio:

\(\implies \sin X=\dfrac{24}{40}\)

We can reduce the fraction to its smallest equivalent by dividing the numerator and denominator by 8:

\(\implies \sin X=\dfrac{24 \div 8}{40 \div 8}=\dfrac{3}{5}\)

Answer:

He can make $ 168.75 per week.

Step-by-step explanation:

1hr =$ 12.50

For 13.5 hrs,

12.5*13.5

= 168.75

Answer:

0

Step-by-step explanation:

\(f(x)=\cos[\ln(x^5)]\implies \stackrel{chain~rule}{\cfrac{df}{dx}=-\sin[\ln(x^5)]\cdot \cfrac{1}{x^5}\cdot 5x^4} \\\\\\ \left. \cfrac{df}{dx}=-\cfrac{5\sin[\ln(x^5)]}{x} \right|_{x=1}\implies -\cfrac{5\sin[\ln(1^5)]}{1}\implies -\cfrac{5\sin(0)}{1}\implies 0\)

Answer:

A. arc

Step-by-step explanation:

The circumference is the entire boundary of a circle.

A portion of the circumference is called an arc.

Answer:

A

Step-by-step explanation:

The result is irrational

Answer:

B on edge

Step-by-step explanation:

:))

The component form of QR is <-16, 14> if the points Q(23, 48) and R(7, 62) option (B) is correct.

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Consider the points Q(23, 48) and R(7, 62).

The x component = 7 - 23 = -16

The y component = 62 - 48 = 14

QR = <-16, 14>

Thus, the component form of QR is <-16, 14> if the points Q(23, 48) and R(7, 62) option (B) is correct.

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A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.

Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.

The equation would be 3 x + 2 = 14.

So we can solve for the equation to be :

3x + 2 - 2 = 14 - 2

3x = 12

3 x / 3 = 12 / 3

x = 4

In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.

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Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

Answer:

D, because in between -3 and -2 is -2 1/2, and absolute values are not negative, so the answer is 2 1/2, or D

Answer:

C.

Step-by-step explanation:

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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Answer: 1/35

Step-by-step explanation:

1/5 = 0.2

0.2/7= 1/35

Answer:

Step by step explanation

\( \frac{1}{5} \div 7\)

Dividing is equivalent to multiplying with the reciprocal:

\( \frac{1}{5} \times \frac{1}{7} \)

Multiply the fraction

\( \frac{1 \times 1}{5 \times 7} \)

\( = \frac{1}{35} \)

Hope this helps...

Good luck on your assignment.

Answer:

2(50) + 4(100) + 20 = total

Step-by-step explanation:

Answer:

Step-by-step explanation:

2. Unit Rate: 1:2

3. A class has 26 kids. Johnny is trying to figure out the number of ears everyone has in total. You can use the ration 1:2. For every kid there are 2 ears. Therefore there are 52 ears total. \(\frac{1}{2}=\frac{26}{52}\)

4. Multiplication

5. No, you can't have half an ear

Answer:

the range of the graph is all real numbers less than or equal to zero

Step-by-step explanation:

Answer

b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

is moving by 2 but there negative numbers which makes it -2

The velocities of the boat and the person relative to the shore are 1.337 m/s and 2.896 m/s, respectively.

We can use the conservation of momentum equation:

(mboat + mperson) * vboat = mperson * vperson

(160 kg + 70 kg) * vboat = 70 kg * (0.80 m/s + vperson)

230 kg * vboat = 56 kg * (0.80 m/s + vperson)

vboat = (56/230) * (0.80 m/s + vperson)

vperson = 0.80 m/s + vboat

vperson = 0.80 m/s + (56/230) * (0.80 m/s + vperson)

(174/115) * vperson = (504/115) * m/s

Dividing both sides by (174/115), we get:

vperson = 2.896 m/s

vboat = (56/230) * (0.80 m/s + vperson)

Substituting the value of vperson, we get:

vboat = 1.337 m/s

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On a 160-kg boat that is at rest with its bow pointed to the shore, a 70-kg person begins to walk from the bow to the stern at 0.80 m/s relative to the boat. What are the velocities of the boat and the person relative to the shore? Neglect the resistance of water to motion.