A. (1, –4); minimum

B. (0, –3); minimum

C. (–1, 0); minimum

D. (1, –4); maximum

The probability that if you buy two dozen eggs, none of your eggs will be cracked is 94.09% if the 3 percent of the eggs supplied to a supermarket are cracked.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

3 percent of the eggs supplied to a supermarket are cracked.

The probability that no eggs are cracked = 1 - 0.03 = 0.97

The probability that if you buy two dozen eggs, none of your eggs will be cracked:

= 0.97×0.97

= 0.9409

= 94.09%

Thus, the probability that if you buy two dozen eggs, none of your eggs will be cracked is 94.09% if the 3 percent of the eggs supplied to a supermarket are cracked.

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Answer:

[tex]10^{-4} = 0.0001[/tex]

Step-by-step explanation:

Negative exponents make the base a reciprocal:

[tex]x^{-1} = \frac{1}{x}\\x^2 = \frac{1}{x^2}\\[/tex]

Therefore, we can rewrite [tex]10^{-4}[/tex] as:

[tex]10^{-4} = \frac{1}{10^4} = \frac{1}{10000} = 0.0001[/tex]

10^-4 = 0.0001

1 x 10^-4 = 10^-4

It's a negative power - so you divide the 1 by 10000 - to get 0.0001.

Same as 1/10000

Hope this helps!

option B and option D

hope it helps...!!!

Answer:

  £54,915

Step-by-step explanation:

The tax table is applied as follows:

  first 11,000 -- no tax

  11,000 to 43,000 -- tax is 0.20 × (43,000 -11,000) = 6,400

  43,000 to 150,000 -- tax is 0.40 × (150,000 -43,000) = 42,800

  150,000 to 162,700 -- tax is 0.45 × (162,700 -150,000) = 5,715

Then the total tax on earnings of £162,700 is ...

  £6,400 +42,800 +5,715 = £54,915

Nerys paid a tax of £54,915.

_____

Additional comment

The tax computation could be simplified to ...

  f(x) = max(0, 0.2x -2200, 0.4x -10800, 0.45x -18300)

In this instance, the value 0.45x -18300 is the highest, at £54,915. Not all the computations are required if you realize the lines cross at x = 11,000, 43,000, and 150,000.

According to the rational root theorem, the function that has the same set of potential rational roots is f(x) = 3x^5 – 2x^4 – 9x^3 + x^2 – 12.

Given the function:

g(x) = 3x^5 – 2x^4 + 9x^3 – x^2 + 12

We would have to find the rational roots and this would be done by:

Identifying the factors of 12 and 3.

After this, there would have to be an analysis of the factors and we can see that the correct answer is f(x) = 3x^5 – 2x^4 – 9x^3 + x^2 – 12.

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Answer:

y = 2x - 6

Step-by-step explanation:

For parallel lines, the mx (the slope) stays the same but the y-int changes.

Answer:

the slope of parallel lines are - the same

i.e,m1=m2

the slope of perpendicular lines are- negative reciprocals

i.e,m1*m2= -1

where, m1 and m2 slopes of two lines

A. The slope of parallel lines are: the same/equal

B. The slope of perpendicular lines are negative reciprocals.

If two lines are parallel to each other, they will have the same slope. If the slope of one is 4, the slope of the other line that is parallel to it would also be 4.

On the other hand, the slope of perpendicular lines are negative reciprocal of each other. That is, if the slope of one is, -1, the slope of the other line would be 1.

Therefore, parallel lines have the same slope, while perpendicular lines have slope values that are negative reciprocal to each other.

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Answer:

nation's leader

Step-by-step explanation:

As the nation's leader, President Reagan decided to address the country about the Challenger tragedy. Putting aside his scheduled State of the Union address before Congress, the President instead delivered an Oval Office address to comfort the people as the nation mourned.

Answer:

[tex]\{-7,13\}[/tex]

Step-by-step explanation:

[tex]~~~~~~|R-3| = 10\\\\\implies R -3 = 10~~~~~~ \text{or}~~~~~~~R -3 = -10\\\\\implies R = 10+3~~~~~~\text{or}~~~~~~~R = -10+3\\\\\implies R = 13~~~~~~~~~~~ \text{or}~~~~~~~R = -7\\\\\text{Solution set:} ~\{-7,13\}[/tex]

Answer: Heyaa! ~

Your Answer is... (-7, 13) Which is C.

Step-by-step explanation:

Factor then solve to find the complex solutions.

Remove the absolute value term. This creates a ±

on the right side of the equation because |x|=±x.

R−3=±10

The complete solution is the result of both the positive and negative portions of the solution.

R= -7, 13

Hopefully this helps you! ~

the last one is- 5/6  0.8333 %0.8333

3/5   0.6  %0.6

1/5  0.2   %0.2

1/4 0.25 %0.25

Hope this helps you!! :)

Answer: which one ? ill edit this w/ the answer

Step-by-step explan

Answer: 2x-y=0

Step-by-step explanation:

y=2x

-2x -2x

-1(-2x+y=0)

2x-y=0

Answer:

The value of b is 21

Step-by-step explanation:

29=√20^2+b^2

or, 29=√400+b^2

or, 841=400+b^2

or, 841-400=b^2

or, √441=b

b=21

Step-by-step explanation:

sin = 15/17

cos = -8/17

tan = -15/8

csc = 17/15

sec = -17/8

cot = -8/15

Answer:

C) y = 16 feet

Step-by-step explanation:

the corresponding sides in ABCD are equal to their corresponding sides by EFGH multiplied by something

all values are in feet

let x represent the unknown side in ABCD

ABCD lengths in order: x, 30 , 40 , 60

let a and b represent the unknown sides in EFGH

EFGH lengths in order: 6, 12, a, b

thus, 30 corresponds to 12 as they are both the second shortest sides

corresponding side in EFGH * something = corresponding side in ABCD

12 * something = 30

let something be r

12 * r = 30

divide both sides by 12 to isolate r

r = 30/12

thus, to get a side in ABCD, we multiply the corresponding side in EFGH by 30/12

we want to find the second longest side in EFGH. the corresponding side to that in ABCD is 40, as 40 is the second longest side in ABCD

let the second longest side in EFGH = y

y * 30/12 = 40

multiply both sides by 12/30 to isolate y

40 * 12 / 30 = y = 16

y = 16 feet

Volume is a three-dimensional scalar quantity. The amount of coffee that can be put in the tumbler is 11.486 in³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the diameter of the coffee, the tumbler is 3inches, while the height is 7 inches, also, 0.5 inches is needed to be left to fit the lid on the top. Therefore, the height of the tumbler will be 6.5 inches (7-0.5).

Now, the volume of the coffee tumbler will be,

The volume of the coffee tumbler = (π/4)×D²×h

                                                         = (π/4)×(1.5)²×6.5

                                                         = 11.486 in³

Hence, the amount of coffee that can be put in the tumbler is 11.486 in³.

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Answer:

b=566/81

Step-by-step explanation:

b=566/81

The equation for the path of a launched projectile contains the vertex (5, 120) and the point (25, 80) on the boundary is shown in the graph.

It is defined as the graph of a quadratic function that has something bowl-shaped.

The path of the launched projectile will a parabola.

We have the vertex of the parabola (5, 120)

The standard equation in terms of vertex (h, k)

[tex]\rm y = a(x-h)^2+k[/tex]

Plug the points:

[tex]\rm y = a(x-5)^2+120[/tex]

To find the value of “a” plug point (25, 80)

[tex]\rm 80 = a(25-5)^2+120[/tex]

a = -1/10

Plug this into the equation;

The path of the equation:

[tex]\rm y = \dfrac{-1}{10}(x-5)^2+120[/tex]

Thus, the equation for the path of a launched projectile contains the vertex (5, 120) and the point (25, 80) on the boundary is shown in the graph.

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Answer:

C.A 140° angle

please mark me brainliest

Answer:

[B] 16 dollars and 16 cents

Step-by-step explanation:

Given:

Darrell’s restaurant bill is $89.75. If Darrell leaves an 18% tip, how much tip does the server receive?

A:1.62 cents

B:16 dollars and 16 cents

C:73.59 dollars

D:109.51 dollars

Solve:

$89.75 × 18% = 16.155 ≈ 16.16

Kavinsky

Answer: B. 16 dollars and 16 cents

Step-by-step explanation:

89.75 * .18 = $16.155

Answer:

Step-by-step explanation:

31 × 29 + 14 = 913

Then

913 / 29 = 31 r 14

Answer:

17 cm and 31 cm

12 cm and 36 cm

18 cm and 30 cm

Step-by-step explanation:

The midsegment of a trapezoid is equal to the average of the two bases. When taking an average of two numbers, you add them and divide by 2. So  the equation will be as follows:

[tex]\frac{PQ + SR}{2} = XY[/tex]

XY is given to be 24, so:

[tex]\frac{PQ + SR}{2} = 24[/tex]

Multiplying on both sides gets us:

[tex]PQ + SR = 48[/tex]

So any values of PQ and SR that add to 48 work. Therefore, we will sum the given options:

17 cm + 31 cm = 48 cm

18 m + 30 m = 48m (Did you mean meters?)

4 cm + 8 cm = 12cm

9 cm + 15 cm = 24cm

12 cm + 36 cm = 48cm

18 cm + 30 cm = 48 cm

Answer:

30k + k²

Explanation:

First Step:

30 is added to k means : 30 + k

Second Step:

Resulting number multiplied by k means : (30 + k) × k

Results:

30k + k² ___prime number.

The probability that “a child ticket is bought for a play” and “the play is performed in the afternoon" is 36/363.

Probability is the likelihood that a stated event would occur. The probability that the event would happen lies between 0 and 1.

The probability that “a child ticket is bought for a play” and “the play is performed in the afternoon" = 36 / total number of tickets bought

36 / (36 + 12 + 127 + 188) = 36 / 363

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So

Interest

Amount

Answer:

Yes

Step-by-step explanation:

A complete probability model should sum up the probability to 1

by adding them up, you will find the sum as 1/12 + 8/12 + 3/12 = 12/12

So, they can be a complete probability model with 3 outcomes "2", "3" & "4"

The rectangular coordinates will be (x=7cot(θ), y=7).

A pair of coordinates locating the position of a point in a plane, the first being the length of the straight line ( r ) connecting the point to the origin, and the second the angle ( θ ) made by this line with a fixed line.

We have the standard conversion toolbox:

[tex]x=rcos(\theta)\\\\y=rsin(\theta)[/tex]

Here it is given that

[tex]r=7cosec(\theta)[/tex]

so

[tex]x=7cosec(\theta)\times cos(\theta)=\dfrac{7cos(\theta)}{sin(\theta )}=7cot(\theta)\\\\\\y=7cosec(\theta)\times sin(\theta)=\dfrac{7sin(\theta)}{sin(\theta)} = 7[/tex]

therefore the rectangular coordinates are (7cot(θ), 7)

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Answer:

AE is 77

AB is 65

CPD is 77

BPE is 142

ADC is 257

ACD is 180

Step-by-step explanation:

line CE and AD are splitting the circle in half

Answer:

50,076 square inches

Step-by-step explanation: