What value of b makes 6.8x + b equivalent to 3.4(2x - 8)

The amount of stock that is wasted is given as follows:

1 - 21/64 inches.

The total amount of stock is given as follows:

9 - 7/16 inches long = 144/16 - 7/16 = 137/16 inches long.

The total amount of stock used for the two punches is given by the sum of the two amounts, as follows:

4 - 1/64 + 4 - 3/32 = 8 - 7/64 = 505/64

Then the amount wasted is given by the subtraction of the total amount by the amount used, as follows:

137/16 - 505/64 =  548/64 - 505/64 = 43/64.

The decimal of this is of:

43/64 = 0.671875.

Hence the amount wasted is of:

1 - 43/64 = 64/64 - 43/64 = 21/64

Meaning that the third option is correct.

More can be learned about operations with fractions at https://brainly.com/question/1682776

#SPJ1

The vector [v] whose direction is same as that of vector [u] is given as -

[v] = -24i + 45j.

We have the a vector [v] with the given magnitude and the same direction as u.

We can write vector [u] as -

[u] = - 8i + 15j

Unit vector {u} along vector [u] -

{u} = [u] / |u|

{u}  = (- 8i + 15j)/17

We can write vector [v] as -

[v] = 51 x (- 8i + 15j)/17

[v] = 3(- 8i + 15j)

[v] = -24i + 45j

Therefore, the vector [v] is given by [v] = - 24i + 45j.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ1

Answer:

x >= 9.

Step-by-step explanation:

To earn a free movie ticket, Liam needs at least 160 points. He already has 50 points from signing up, so he needs 160 - 50 = <<160-50=110>>110 more points.

Each visit to the movie theater earns Liam 12.5 points, so the inequality representing the number of visits he needs to make is:

12.5 * x >= 110

To solve this inequality, we need to divide both sides by 12.5:

12.5 * x / 12.5 >= 110 / 12.5

This simplifies to:

x >= 8.8

Thus, Liam needs to make at least 9 visits to the movie theater to earn his first free movie ticket.

Therefore, the solution to the inequality is x >= 9.

Answer:

9 visits

Step-by-step explanation:

12.5 x 9 = 112.5

112.5 + 50 = 162.5

Answer:3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt

Step-by-step explanation:For each time that the rat goes through the maze, there are only two possible outcomes. Either he fails it, or he succeds. The trials are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution:The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.In which  is the number of different combinations of x objects from a set of n elements, given by the following formula.And p is the probability of X happening.

What is the probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt?Missing on the first six, each with 70% probability(P(X = 6) when p = 0.7, n = 6).Succeeding on the 7th attempt, with p = 0.3. So 3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt

The upper bound of the confidence interval is 0.52

What is confidence interval?

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

Out of 500 couples in a given city, 238 couples had divorced in the past 20 years. As a result, the sample proportion is calculated as follows:

[tex]P=238/500 = 0.476[/tex]

As a result, the following 95% confidence interval is calculated for the city's divorce rate: [tex]P +(Z_{a}*(\sqrt{\frac{P(1-P)}{y} } )[/tex]

[tex]Z_{a}= 1.96[/tex]

the upper bound of confidence interval = 0.0438 + 0.476

= 0.52

To know more about confidence interval checkout https://brainly.com/question/24131141

#SPJ1

Answer: the top left is a function

Answer:

You have chosen the correct answer

Step-by-step explanation:

He cannot spend more than 55. So the cost of the groceries has to be 55 or less.

He is only buying one package of eggs and the x represents how many packages of sugar he can purchase knowing that each box costs 11.50.

Answer: $300,000

Step-by-step explanation:

Her pay will increase by 20% as a result of the percentage being the difference from the original.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 78% grade if you answered 78 of 100 questions correctly on a test (78/100).

According to the given Information

Another name for the percentage is the signifying hundredths. As a result, 2% is equal to two hundredths, or 2%=2/100=0.02.

According to what has been stated,

Original price: $10

Pay increase = $12

% growth = (10 x 100 - (12 - 10))

⇒ 20%

Hence

Her pay will increase by 20% as a result of the percentage being the difference from the original.

To know more about Percentage

https://brainly.com/question/16797504

#SPJ4

The outcome in sample space is equal to the no. of ways of selecting 3 balls at random from 10 distinct balls. So, number of outcomes in sample space = ¹⁰C₃.

Permutation:

Permutations are different ways of arranging objects in a particular order. This can also be expressed as rearranging the elements in linear order of an already ordered set. The symbol are used to denote the number of permutations of n distinct objects obtained for each r. Block bus, train and plane timetables, postcode and phone number assignments. These are some situations where permutations are used.

Example: There are 5 chairs and 3 people need to sit on them. There are 5 ways to place the first person. 2nd person 4 seats, 3rd person 3 seats. So to find the number of ways to place her 3 on 5 chairs, multiply these ways. Make 5×4×3 streets. So we can do it 60 ways. 5 × 4 × 3 is written as (5!) / (2!) (or) (5!) / (5 - 3).

A combination is a selection of elements from a set with different members, so the order of selection does not matter (unlike a permutation). For example, if he is given three fruits, such as apples, oranges, and pears, he has three binary combinations that he can draw from this set. An apple and a pear. apples and oranges. Or pear and orange. More formally, a k-combination of a set S is a subset of the k distinct elements of S. Two combinations are identical only if each combination has the same members.

According to the Question:

The outcome in sample space is equal to the no. of ways of selecting 3 balls at random from 10 distinct balls. So, number of outcomes in sample space = ¹⁰C₃.

Learn more about sample space:

https://brainly.com/question/28043513

#SPJ4

A quadrilateral with two distinct pairs of congruent and adjacent side is a kite.

A quadrilateral is a figure that has 4 sides and edges. Parallelogram, rectangle, square are all examples of quadrilateral.

Different quadrilaterals have different properties. A quadrilateral in which two distinct pairs of adjacent sides are congruent is termed as a kite.

Only kite is a quadrilateral which has the given property.

Some other properties of kite include-

1. diagonals of a kite are perpendicular to each other

2. along its main diagonal, a kite is symmetrical

3. one of the diagonals of the kite bisects the other

Thus, a quadrilateral with two distinct pairs of congruent and adjacent side is a kite.

Learn more about quadrilaterals here-

https://brainly.com/question/23935806

#SPJ4

The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)

The coordinates of point A = (-5, -4),

The coordinates of the point B = (-3, 3)

Let the point at the distance 3/4 from A to B = P

The coordinates of point 3/4 from A to B = P

At the x-coordinate, the distance from B to A is =  -3-(-5) = 2 units.

At the y-coordinate, the distance from B to A is = 3-(-4) = 7 units.

Hence, the coordinates of P = (-5 + (3/4×(x-coordinate), -4 + 3/4×(y-coordinate)

                                            P = (-5 + (3/4×(2), -4 + 3/4×(7))

                                            P = (-3.5, 1.25)

Hence, the coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25).

Read more about the section formula :

brainly.com/question/14812336

#SPJ4

The complete question is -

What are the coordinates of the point 3/4 of the way from A to B?

The equation of the line is y = (2/3)x + 4

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line.

y = m(1)x + c

The line is parallel to y = (2/3)x + 1

It is in the form of y = m(2)x + c

This means,

m(1) = m(2)

m(1) = 2/3

Now,

The line passes through the point (3, 6).

(3, 6) = (x, y)

y = mx + c

6 = (2/3)3 + c

6 = 2 + c

c = 6 - 2

c = 4

The equation of the line.

y = (2/3)x + 4

Thus,

The equation of the line is y = (2/3)x + 4

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ1

Answer:

4/12

Step-by-step explanation:

The equation of the parabola is y = -0.25(x - 4)² + 16 and he reaches 12 feet outwards when he hits the water

From the question, we have the following parameters that can be used in our computation:

Initial position = 12 feet above the surface

Maximum height = 18 feet at 4 feet outward

These parameters mean that

(h, k)  = (4, 16) -- vertex

(x, y) = (0, 12)

A parabola is represented as

y = a(x - h)² + k

So, we have

y = a(x - 4)² + 16

Also, we have

12 = a(0 - 4)² + 16

This gives

12 = 16a + 16

So, we have

16a = -4

Divide

a = -0.25

Substitute a = -0.25 in y = a(x - 4)² + 16

y = -0.25(x - 4)² + 16

When it hits water, y = 0

So, we have

-0.25(x - 4)² + 16 = 0

This gives

0.25(x - 4)² = 16

So, we have

(x - 4)² = 64

Take square roots

x - 4 = 8

So, we have

x = 12

Hence, it is 12 feet outwards

Read more about parabola equations at

https://brainly.com/question/17987697

#SPJ1

Answer: to get 1/2 of a number, simply divide it by 2

Step-by-step explanation: the denominator, or the second digit after the numerator, is the one you use to divide a number. for example 1/3 of 33 = 11, as you divide 33 by 3, or 1/2 of 500 = 250.

Answer:

Step-by-step explanation:

59,020

The solution to the expression ( √7 - √2 )² will be - 9 - 2√14. The value of the second part is 2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is ( √7 - √2 )². The expression will be solved as below,

E =  ( √7 - √2 )²

E = (√7)² + (√2)² - 2 x √7 x √2

E = 7 + 2 - 2√14

E = 9 - 2√14

The second part will be calculated as,

2/5√(25x3)+(2-√(2x2x6)

2/5 x 5√3 + 2 - 2√3

2√3 + 2 - 2√3

2

The value of the third part will be calculated as,

[tex]\dfrac{(2+\sqrt{2})(\sqrt(10-\sqrt{5}}{(15-10\sqrt{2}}[/tex]

To know more about an expression follow

https://brainly.com/question/12136992

#SPJ1

Answer:

63

Step-by-step explanation:

h=90

90-27=63

The proportion of wand prices as per normal distribution are lower than the price of the blackthorn wand is equal to 0.1151.

As given in the question,

Mean of the set of magical wand price 'μ' = 50dollars

Standard deviation 'σ' for normal distribution = 4 dollars

Price of blackthorn wand 'X' = 45.20 dollars

z-score = (x - μ)/σ

Proportion of wand prices be 'x'

P(x < X)

=P( x< 45.20)

=P [(x - μ)/σ < (X - μ )/σ]

=P[ z < (45.20 - 50)/4]

=P( z < -1.2 )

= 0.11507

=0.1151

Therefore, the proportion of the wand prices which are lower than the price of blackthorn wand using normal distribution is equal to 0.1151.

The complete question is:

A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackthor wand has a price of 45.20 dollars. What proportion of wand prices are lower than the price of the blackthorn wand? You may round your answer to four decimal places.

Learn more about normal distribution here

brainly.com/question/29509087

#SPJ4

T(3)  = - 50.59 is time period

A specific quantity is converted from degrees to radians using the RADIANS function. The supplied angle, which is in degrees, is translated into a roughly equivalent angle, which is in radians.

According to given information

Since maximum term is -50°C at 2 pm

So

We can start with cosine curve with maximum temperature -50°C at t = 0

Assuming 2 pm as starting point t = 0

Period = [tex]\frac{2\pi }{b}[/tex]

   24   = [tex]\frac{2\pi }{b}[/tex]

    b = [tex]\frac{\pi }{12}[/tex]

By using Formula

y = a cos(bx) + d

y = a cos([tex]\frac{\pi }{12}[/tex]t) - 52

At 5 pm  , t = 3

T(3) = 2 cos([tex]\frac{\pi }{12}[/tex]×3) - 52

      = 2 ×[tex]\frac{\sqrt{3} }{2}[/tex] - 52

T(3)  = - 50.59 is time period

To know more about Radians

https://brainly.com/question/7721249

#SPJ1

Clio went 20 times to the movies last year. This can be calculated using linear equations.

Given,

Number of times all together they went to movies = 30

Clio = 5 times more than Alex

Bernie = is 2 times more than Alex.

Let 'a' be the number of times Alex has gone to the movie:

Clio = 5a

Bernie = a + 2

So, we can calculate the number of times Clio went to the movies if we find out how many times Alex went. This can be calculated using the following linear equation:

Clio + Bernie + Alex = 30

5a + (a +2) + a = 30

7a + 2 = 30

7a = 30 - 2

7a = 28

a = 28 ÷ 7

a = 4 times

From solving the above equation, we got that Alex (a) went to the theatre 4 times last year. Now, substituting the value of 'a' we get:

Clio = 5a

Clio = 5*4 = 20 times

Bernie = a+2 = 4+2 = 6 times

So, we can conclude by saying that, Clio went 20 times to the movies last year.

To know more about Linear equation,

brainly.com/question/12788590

brainly.com/question/4074386

#SPJ4

The scale factor from the pre-image to the image is 2/5.

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.

let the scale factor be m, so that the scale factor multiplied by the dimension of pre-image should give dimension of image.

so that we have,

20 x m = 8

20m = 8

divide both sides by 20

m = 8/20

m = 2/5

In conclusion the dilation factor is 2/5

Learn more about dilation: htttps://brainly.com/question/10253650

#SPJ1

Nearest Twenty-one million streams will be available on the seventh day of song's release day. So, the correct option is option(A).

As we know the formula for the increase of population for compond increasing rate

A = P(1 + r)ᵗ---(1)

where P --> the intial population

r --> rate in decimal

t --> the time

A --> final population after t years

We have given that,

On the first day the song's release , it streams around 20 million population.

Rate of increase= 10% per day

We have to find the number of streams on seventh day.

so, time is 6 for it.

we have , P= 20 million ; t= 6

r = 10% = 10/100 = 0.1

putting all values we get,

A = 20 ( 1 + 0.1 )⁶

=> A = 20(1.01)⁶

=> A = 21.23

so the numnber of stream is 21.23 million ~ 21 million on seventh day.

To learn more about Population growth function, refer:

https://brainly.com/question/27779235

#SPJ4

Complete question:

On the first day of a song's release, it had 20 million streams. If the number of streams increases by 10% per day, how many streams will there be on the seventh day? Round to the nearest million.

a)21 million

b)35 million

c)37 million

d) 38 million

Answer:

[tex](x+2, y+7)[/tex]

Step-by-step explanation:

[tex](x,y) \longrightarrow (x-3, y+5) \longrightarrow (x+2, y+7)[/tex]

Answer:

the figue which is translated one unit up and one unit to the right

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

Step 1: Plug in g = 17, h = 2

0.7 * 17 - 2.7 * 2

Step 2: Solve Using PEMDAS

11.9 - 2.7 * 2

11.9 - 5.4

6.5