the probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg is 2.5%.2.5%. what are the odds that a carton of eggs will have at least one cracked egg?

Answer: M(-3,1.5)

Step-by-step explanation:

A(-7,3)    B(1,0)

[tex]\displaystyle\\M(x,y)=(\frac{x_A+x_B}{2} ,\frac{y_A+y_B}{2} )\\\\M(x,y)=(\frac{-7+1}{2},\frac{3+0}{2} )\\\\M(x,y)=(\frac{-6}{2},\frac{3}{2} )\\\\M(x,y)=(-3,1.5)\\\\Thus,\\\\M(-3,1.5)[/tex]

Answer:B

Step-by-step explanation:

The equation shown on the graph is y = 2x + 3. The correct answer is C. y = 2x +3

From the question, we are to determine the equation that represent the given line

To determine the equation, we will pick two points on the line and determine the equation of the line

Picking the points (0, 3) and (3, 9)

Using the formula for the finding the equation of a line with two given points

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

x₁ = 0

y₁ = 3

x₂ = 3

y₂ = 9

Then,

(y - 3)/(x - 0) = (9 - 3)/(3 - 0)

(y - 3)/x= 6/3

(y - 3)/x= 2

y - 3 = 2x

y = 2x + 3

Hence, the equation shown on the graph is y = 2x + 3. The correct answer is C. y = 2x +3

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Answer:

3

Step-by-step explanation:

the absolute value is distance of a number from 0 so +3 absolute value is 0

Answer:

  12 and 14

Step-by-step explanation:

You want two consecutive even integers such that the lesser is five more than half the greater.

Let x represent the lesser of the integers. Then x+2 is the greater, and we can write the given relation as ...

  x = (x+2)/2 +5 . . . . . lesser is 5 more than half the greater

Multiplying by 2 gives ...

  2x = x +2 +10

  x = 12 . . . . . . . . subtract x

  x+2 = 14

The two integers are 12 and 14.

Given the area, the lengths of the diagonals p and q of the rhombus are 4√7 cm and 12√7 cm respectively.

A rhombus which is called an equilateral quadrilateral is simply a quadrilateral whose all four sides have the same length.

The area of a rhombus is expressed as;

A = ( p × q )/2

Where p and q are the diagonals

Given the data in the question;

Let one of the diagonal be x.

Plug in the given values into the equation above and solve for x.

A = ( p × q )/2

168 = ( x × 3x )/2

168 = ( 3x² )/2

3x² = 168 × 2

3x² = 336

Divide both sides by 3

x² = 112

Take the square root of both sides

x = ±√112

x = ±4√7

Since the dimension of the rhombus cannot be negative,

x = 4√7

Hence, the length of the diagonals are;

Diagonal p = x = 4√7 cm

Diagonal q = 3x = 3( 4√7 ) = 12√7 cm

Given the area, the lengths of the diagonals p and q of the rhombus are 4√7 cm and 12√7 cm respectively.

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Each relationship's proportionality constants are k=3 and k=1, respectively.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.

Given that the relationship is proportional,

the equation linking the quantities is y = k x k, where k is the proportional constant.

Divide both sides by x to determine k

k = y/x

For graph a use the point (2, 6 ), then

k = 6/2

= 3

For graph b use the point (4, 4 ), then

k = 4/4

= 1

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126 three-digit numbers may be formed using elements from the set {1,2,3,4,5,6,7,8}. if no element may be used more than once in a number and the number must be even

For given question,

We need to find number of three-digit numbers formed using elements from the set {1,2,3,4,5,6,7,8}  if no element may be used more than once in a number and the number must be even.

3-digit even  numbers are to be formed using the given six digits,1 ,2,3,4,6,7, and 8 without repeating the digits.

Then, units digits can be filled in 4 ways by any of the digits, 2,4, 6 or 8.

Since the digits cannot be repeated in the 3-digit numbers and units place is already occupied with a digit (which is even), the hundreds and tens place is to be filled by the remaining 7 digits.

So, the number of ways in which hundreds and tens place can be filled with the remaining 7 digits is the permutation of 7 different digits taken 2 at a time.

[tex]\Rightarrow ~^7P_2=\frac{7!}{(7-2)!} \\\\\Rightarrow ~^7P_2=42[/tex]

Thus, by multiplication principle, the required number of 3-digit numbers is 3 × 42 = 126

Therefore, 126 three-digit numbers may be formed using elements from the set {1,2,3,4,5,6,7,8}. if no element may be used more than once in a number and the number must be even

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8.55

Here's a video that could explain

https://youtu.be/WwKLA-6S-e0

Also when doing the math ignore the - sign, the larger number will determine if the answer will be a whole or a minus , let me explain, so as you see in the question the 5.1 is the largest so that means the answer will be a whole.

It is False that the imaginary line which passes through the north and south poles, upon which the earth rotates once every 24 hours is called the prime meridian. .

In a geographic coordinate system, a prime meridian is any line of longitude when longitude is defined to be 0°. A great circle is formed by a prime meridian and its anti-meridian (the 180th meridian in a 360° system).

A spheroid, like the Earth, is divided into two hemispheres by this vast circle: the Eastern Hemisphere and the Western Hemisphere (for an east-west notational system).

Different conventions have been used or supported for Earth's prime meridian throughout history in various places. The IERS Reference Meridian is the current international prime meridian for the Earth. It is developed from the former Greenwich Meridian, however it is somewhat different.

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Answer:

-3

Step-by-step explanation:

Rewrite as follows and solve for x:

7 = 4 - x

Add x to both sides to get positive x

x + 7 = 4  

Subtract 7 from both sides to get x by itself

x = -3

Quadratic equation which is x² + x - 272 = 0 can be used to find the product of two consecutive integers.

An algebraic equation of a second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

Let one number be x,

second number will be - (x+1)

so, the product of two numbers will be -

x(x+1) = 272

x² + x = 272

x² + x - 272 = 0

The quadratic equation, used to find the numbers is x² + x - 272 = 0.

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The equation of the line as it passes through the point (-6, 1) is

y = 3x/2 + 10

Slope is the same as gradient which is the ratio of change in y to change in x. That is,

gradient m = Δy / Δx

Given that the equation of the line passes through the point (-6, 1) and is perpendicular to the graph of 2x + 3y = -5

Let us first find the slope, 3y = -2x - 5

y = -2x/3 - 5/3

Slope m = -2/3

Let us use the formula Mm = -1

M = -1/m

M = -1 × -3 /2

M = 3/2

The equation of the line as it passes through the point (-6, 1) will be

M = (Y - Y1) / (X - X1)

3/2 = (y - 1) / (x + 6)

Cross multiply

2(y - 1) = 3(x + 6)

2y - 2 = 3x + 18

Collect the like time

2y = 3x + 18 + 2

2y = 3x + 20

y = 3x/2 + 10

Therefore, the equation of the line as it passes through the point (-6, 1) is y = 3x/2 + 10

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Answer:20

Step-by-step explanation:5*4=20 hope this helps

Answer: whats the answer choices

Step-by-step explanation: i dont get it

Answer:

1,798/7

Step-by-step explanation:

1812/7-2 (or it can be written as 14/1 because you getting rid of two sevenths)

Answer:

ok I will help u don't worry

Answer:

#1

[tex]{ \tt{119 \degree + 34 \degree + b = 180 \degree}} \\ { \tt{b = (180 - 34 - 119) \degree}} \\ { \tt{b = 27 \degree}}[/tex]

#2

[tex]{ \tt{ \red{❗ \: image \: not \: clear}}}[/tex]

I don't have a lot of info to go off of to properly solve the question, however I think I may be able to help. If you are trying to solve using the Quadratic Formula:

_______________________________________________________

Solve the rational equation by combining expressions and isolating the variable c.

[tex]c=\sqrt{(1+s)(1-s)[/tex]

[tex]c=-\sqrt{(1+s)(1-s)}[/tex]

If this is not what you are looking for, please comment below on what you really need and I'll see what else I can do to help. Thanks!

Answer:

-21f - 20

Step-by-step explanation:

Rewriting in the simplest terms,

→ -10(-5f + 7f + 2) - f

→ 50f - 70f - 20 - f

→ -20f - 20 - f

→ -21f - 20

Hence, simplest term is -21f - 20.

Answer:

This is a quadratic (second-degree) polynomial.

Answer:

B) The cost per month of internet service.

The distance travelled by Charlotte in feet is 354 feet. This is obtained by using the concept of speed and distance on the given problem.

What is speed?

Speed is defined as the distance per unit of time. It is the numerical quantity that specifies how fast an object is moving. The basic unit of speed is given by m / s.

Calculation of the distance travelled by Charlotte in feet

Given:

Speed = 61.4 mi / h

Time = 3.93 s

The basic step to solve this problem is to convert miles per hour to feet per second

(61.4 mi / hr) * (5280 feet / mi) * (1 hr / 3600 sec) = 90.0533 feet / sec

Now, multiply the speed by the number of seconds to find the value of distance in feet

(90.0533 feet / sec) * (3.93 sec) = 353.909 feet.    

Hence, the distance travelled by Charlotte in feet is 354 feet.

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Answer:

a= 20

b= 70

c= 20

d=70

e=110

Step-by-step explanation:

a + the 70 degree angle have to equal 90 degrees (the right angle marking) and the same with b + a. So to ind a, you do 90-70 and to find b, because you now have the value of a, you do 90-20.

a+b+c+70 is equal to a 180 degree angle, so since you know the value of a and b, now you can figure out c by doing 180-(70+20+70).

d and the 70 degree angle are vertical angles so they are equal to each other.

lastly for e, d+e is equal to 180 degrees so since you know the value of d, you just do 180-70 to find e.

Answer:

a = 20°

b = 70°

c = 20°

d = 70°

e = 110°

Step-by-step explanation:

Angle A is complementary with 70°, so they add together to = 90° (as indicated by the 90° mark).

90° - 70° = 20°

Angle A = 20°

Angle B is complementary with angle A, 20°, so they also add together to = 90°.

90° - 20 = 70°

Angle B = 70°

Although not indicated by a 90° mark, Angle C and Angle B are complementary since they share a straight line with the complementary angles A and 70°. This means Angles C + B = 90°

90° - 70° = 20°

Angle C = 20°

Angle D is vertical to 70°, so Angle D = 70°

Angle E is supplementary to 70°, so they should combine to = 180°

180° - 70° = 110°

Angle E = 110°

Using the normal distribution, it is found that:

a) The rating would have to be of at least 9.78.

b) The z-score for a rating of 5 is of -1.53.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given by:

[tex]\mu = 7.6, \sigma = 1.7[/tex]

For item a, we have to find the 90th percentile, which is X when Z = 1.28, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

1.28 = (X - 7.6)/1.7

X - 7.6 = 1.28 x 1.7

X = 9.78.

The rating would have to be of at least 9.78.

For item b, we have to find Z when X = 5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (5 - 7.6)/1.7

Z = -1.53.

The z-score for a rating of 5 is of -1.53.

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Answer:

f ◦ g is the composition function that has f composed with g. ... Find (f ◦ g)(x) for f and g below. f(x)=3x + 4. (6) g(x) = x2 +. 1 x. (7).

Step-by-step explanation:

0.721 can be written in scientific notation as 7.21 x [tex]10^{-1}[/tex]

Scientific notation is used to compress large numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

For example:

1 x 10² is equivalent to 100

1 x [tex]10^{-1}[/tex] is equivalent to 0.1

To convert 0.721, multiply and raise 10 to the power of -1

by 10  = 7.21 x [tex]10^{-1}[/tex]

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a. The number of points that Jen earned will be 240 points.

b. The point total where a is the number of assists is 260 points.

The number of points that Jen earned will be:

= 2g

where g = number of goals scored

= 2 × 120

= 240

b. The point total is given by n + a where a is the number of assists.

Therefore, the point total will be:

= Goals + Assist

= 240 + 20

= 260 points.

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Answer:

0.83

Step-by-step explanation:

10.5-9.67 the answer is 0.83

Answer:The answer is 0.83

Step-by-step explanation:Please give brainliest if right.I hope this helps.