data was collected for 300 fish from the north atlantic. the length of the fish (in mm) is summarized in the gfdt below. lengths (mm) frequency 100 - 101 1 102 - 103 16 104 - 105 71 106 - 107 108 108 - 109 83 110 - 111 18 112 - 113 3

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

Read more about Equivalent fractions at: https://brainly.com/question/17220365

#SPJ1

The angle of elevation of the plane, obtained from the arcsine of the ratio of the altitude to the distance traveled by the plane is about 14°

The angle of elevation is the angle between the line of flight of the plane as it climbs up through the air, and the horizontal line from the point the plane starts ascending.

The distance the plane travels through the air = 29 miles

The height reached before the plane levels = 7 miles

The path of the distance the plane travels through the air is the hypotenuse side, l, of a right triangle

The altitude reached by the plane is the height, h, which is side of the right angle triangle formed by the plane facing the angle of elevation

Let θ represent the angle of elevation, The trigonometric ratios indicates that we get;

sin(θ) = h/l

Therefore; sin(θ) = 7/29

θ = arcsin(7/29) ≈ 14°

The angle of elevation of the plane is about 14°

Learn more on angle of elevation here: https://brainly.com/question/9817377

#SPJ1

Let the first number be x.

The second number is 5 times less than x => x - 5

Therefore, we can write the statement as

Solving the quadratic equation:

Let us replace -5x in the equation with -4x and -x to be able to factorize.

Hence,

Hence,

Therefore, the number can be 1 or 4.

The second number can be

Therefore, the pair of numbers can be

Regression to the mean and selection bias are the superfluous variables that are removed by randomly choosing schools for the experiment and control groups.

A statistical phenomenon known as regression to the mean (RTM) states that if a random outcome of any measurement or event is severe in the first example, the second or following outcomes will be less extreme. In other words, it will be somewhat near to the distribution's mean or center.

According to regression to the mean (RTM), if an experiment's first result is extreme, the second result will be more in line with the population mean.

Decisions are made incorrectly as a result of this prejudice.

To mitigate the detrimental impacts of regression to the mean, organizations can exercise critical thinking and undertake a randomized controlled trial (RCT) with an experimental group and a control group.

Learn more about Regression :

brainly.com/question/14548066

#SPJ4

Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

Therefore , the solution of the given problem of expressions comes out to be  students can develop their factoring abilities and avoid mistakes with practise and instruction.

Estimates that combine joining, disabling, and rather than randomly divide should be produced when variables are shifting. If they got together, they could solve a mental puzzle, provide some data, and instead software. A declaration of truth contains formulas, components, and mathematical processes like combination, subtraction, omission, and grouping. Both phrases and words can be assessed and analysed.

Here,

are some pointers to assist students B and C prevent incorrect factoring in the future:

Regularly practise factoring: Since factoring is a talent that must be honed, students should make sure to factor problems frequently. They will be better able to understand the procedure and spot trends in the expressions they are factoring as a result of this.

Verify the indications again because they are prone to error when factoring. Students should double-check their distribution of the signs and make sure no negative indicators are being left out.

Students should double-check their work by multiplying the factors back together after factoring an equation. They'll be able to correct any errors they may have made thanks to this.

If students need assistance with factoring, they should ask an instructor or tutor for assistance. Although factoring can be a challenging ability to master, students can develop their factoring abilities and avoid mistakes with practise and instruction.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

The no: of shoppers at the end of the sale is 196 shoppers.

The process of combining smaller parts into a single, cohesive system is known as integration.

When different individuals or things are brought together, such as when all of the district's elementary school students attend the new middle school or when snowboarding is introduced to all ski slopes, integration takes place.

The sum of the number of customers within the store at any one time is equal to the number of customers inside at the beginning of the sale plus the number of customers who have just entered minus the number of customers who have just departed.

Given that there were none at the store when the sale began, the assumption is that there were 0 customers there.

The number of customers who have entered the store is provided by the equation S(t)=0.5t4-16t 3 +144t 2S(t)=0.5t 4 16t 3 +144t 2. Accordingly, at t=12t=12, the number of customers who have visited the store is given by S(12)=0.5(12)4-16(12)3+144(12)2=3456S(12)=0.5(12) 4 16(12

The pace at which customers depart the store is determined by the equation L(t)=-80+dfrac-4400t-2-14t+55.

L(t)=−80+ \st \s2 \s −14t+55 \s4400

The total number of customers who have left the store as of time t=12t=12 is, therefore, 012L(t);dt=int 012left(-80+dfrac4400t2-14t+55right);dt approx3260 0 12 L(t)dt= 0 12 (80+ t 2 14t+55 4400)d (Find the value of this integral using a calculator.)

At the conclusion of the sale, there will be 0+S(12)-displaystyleint 012L(t);dt=0+3456-3260=1960+S(12) 0 12 L(t)dt=0+34563260=196 customers in the store.

To learn more about integration click the following link :-

https://brainly.com/question/22008756

#SPJ1

Answer:

Step-by-step explanation:

ne spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?

First, identify what the question is asking for.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the numbers.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a b

The lower bound of a 95 percent confidence interval for the population mean can be calculated using the formula: lower bound = sample mean - (critical value * (sample standard deviation / √n)).

In this case, the sample size is 30, the sample mean is -55, and the sample standard deviation is 4. To find the critical value corresponding to a 95 percent confidence level, we refer to the t-distribution table or use a statistical software. For a sample size of 30, the critical value is approximately 1.697.

Plugging in the values into the formula, we calculate the lower bound as: -55 - (1.697 * (4 / √30)) ≈ -55.61.

Therefore, the lower bound of the 95 percent confidence interval is approximately -55.61 (rounded to two decimal places).

To learn more about confidence interval click here : brainly.com/question/32546207

#SPJ11

Answer:

y = -0.5x + 3

Step-by-step explanation:

The equation of a linear model is generally represented as;

y = mx + b

where m

is slope and b is the y-intercept

We can get slope by using the slope equation

m =

(y2-y1)/(x2-x1)

(x1,y1) = (-4,5)

(x2,y2) = (4,1)

m = (1-5)/(4 + 4) = -4/8 = -0.5

The equation is thus;

y = -0.5x + b

to get b, we substitute any of the two points coordinates

1 = -0.5(4) + c

1 = -2 + c

c = 2 + 1

c = 3

Answer:

make whole in wall and destroy securitie

Step-by-step explanation:

Answer:

do your program and leave

Step-by-step explanation: Be their for several months (6 months-least amount of time 1 year, 3 months, and 5 days or more- most amount of time) do programming  (literally everything the staff + what your therapist say or need you to do). Don't do anything to get on precautions (which includes sleeping in the common area and showering with a foot in the door). And lastly respect everyone. No need for laser-beams or hurting security just do anything and everything  you need to do to leave that place and never do anything to go back b/c in the end no one belongs in a place like that. I know from experience.

Hope this helped!

Answer:

Step-by-step explanation:

Answer:

($5,400) * 0.13 = $702 * 52 weeks = $36,000

Step-by-step explanation:

It is not possible to form a triangle with the given side lengths (√122 in., √5 in., √26 in.).

To determine if it is possible to form a triangle with the given side lengths (√122 in., √5 in., √26 in.), we can use the Triangle Inequality Theorem. According to the theorem, for a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side.

Let's consider the three side lengths:

√122 in., √5 in., √26 in.

Now, we need to check if the sum of any two side lengths is greater than the length of the third side.

Case 1: √122 in. + √5 in. > √26 in.

Simplifying the expression:

11 + √5 > √26

Since 11 is greater than √26, we can conclude that √122 in. + √5 in. is greater than √26 in.

Case 2: √122 in. + √26 in. > √5 in.

Simplifying the expression:

11 + 5√2 > 1

Since 11 is greater than 1, we can conclude that √122 in. + √26 in. is greater than √5 in.

Case 3: √5 in. + √26 in. > √122 in.

Simplifying the expression:

√5 + 5√2 > 11

Since √5 is less than 3 and 5√2 is less than 8, the sum is less than 11. Therefore, √5 in. + √26 in. is less than √122 in.

Based on the Triangle Inequality Theorem, for a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, we have found that the sum of the lengths of two sides is not greater than the length of the third side (√5 in. + √26 in. < √122 in.).

Therefore, it is not possible to form a triangle with the given side lengths (√122 in., √5 in., √26 in.).

Learn more about   length from

https://brainly.com/question/2217700

#SPJ11

Answer:

VS and PR

Step-by-step explanation:

Total 42 different types of stir-fry dishes are available at a restaurant.

As per the given information,

In restaurant, there are two types of rices (2 options), three proteins (3 options), and seven sauces (7 options).

This is a question of probability.

When all of these options are combined, they make a total of

2 x 3 x 7 = 42 possible combinations.
For example, a customer could choose white rice, chicken, and teriyaki sauce for their stir-fry. Or, they could opt for brown rice, shrimp, and sesame sauce.

There are 40 more combinations to choose from these.
In conclusion, a restaurant customer can choose from a total of 42 different kinds of stir-fry dishes, each of which is made up of a combination of two types of rice, three proteins, and seven sauces.

For similar question on probability

https://brainly.com/question/7965468

#SPJ11

To find the area of a square or a rectangle, you would multiply the value of the length by the value of the width.

length x width = area

1. Measure the length of the paper (the length, in this case, is the longest part of the paper).

2. Measure the width of the paper (the horizontal, shorter part of the paper).

3. Multiply said values together to find the area with your chosen system of units.

However, if you are looking for exclusively the length and/or width, you can use a ruler to find said dimensions.

Answer:

Answer: 27:8

Step-by-step explanation:

There are 24 + 16 + 14 = 24+16+14= 54

54 marbles in total.

The ratio of total marbles to red marbles is 54 : 16, which simplifies to 27 : 8.

Answer: 27:8

Answer:

3rd option

Step-by-step explanation:

The x values are the domain (input) of the function

The y values are the range (output) of the function

From the table the range of values in ascending order are

{ - 3, - 2, 1, 4, 6 }

Answer:

{-3, -2, -1, 1, 4, 6}

Step-by-step explanation:

The range is the set of outputs or y values.

So, the third answer is correct

The most appropriate choice for fraction will be given by -

8 children are allowed to use social media.

What is fraction?

Suppose there is a whole collection of objects and some parts of the objects are taken from the whole collection. Fraction represents those parts which are taken. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.

Here,

Total number of children in class of Ms Bryant = 32

Fraction of students who use social media = \(\frac{1}{4}\)

Number of children who use social media = \(\frac{1}{4} \times 32\)

                                                                       = 8

To learn more about fractions, refer to the link-

https://brainly.com/question/17220365

#SPJ9

Answer: x² - 16

= x² - 4²

= (x+4)(x- 4)

Step-by-step explanation:

You know it has to be x squared so in the first part of your brackets it would be an x.... (x    )(x    ). Then you have to find out what times what is 16... in this case it is 4... (x    4)(x    4). Next you have to know the rules regarding negatives and positive... if you know that, you should be able to work out that it would be (x-4)(x+4)... you can check this using the foil method (x times x, x times 4, -4 times x and -4 times 4) or smiley face method... hope this helpedFactorised means put into brackets...

Answer:

0.3927 m²

Step-by-step explanation:

Since a post is open at both ends, then it means it has no top nor bottom and as such the surface area is;

S.A = 2πrh

Where;

r is radius

h is height

We are given;

diameter; d = 50mm = 0.05 m

We know that; radius = diameter/2 = 0.05/2 = 0.025 m

Height; h = 2.5 m

Thus;

S.A = 2 × π × 0.025 × 2.5

S.A = 0.3927 m²

Answer: 5/9

Step-by-step explanation: 15/27 divided by 3. 15 divided by 3 is 5 and 27 divided by 3 is 9.

The odds in favor of winning $5 or more is 3 : 13

The odds of winning $5 or more can be determined by finding the ratio of the total value of tickets that have a value of $5 or greater to the total value of tickets.

Total number  of the tickets that have a value of $5 or more = 25 + 5 = 30

Total number of ticket  = 25 + 5 + 100 = 130

Ratio : 30 : 130

3 ; 13

To learn more about ratios, please check: https://brainly.com/question/9194979

#SPJ1

Answer:

a. Domain: {-5} Range: [-5, 5]

b. Domain: (-∞, ∞) Range: (-∞, ∞)

c. Domain: [-1, 2] Range: [-5, 5]

d. Domain: [-4, 4] Range: [-4, 4]

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that can be outputted by function f(x).

Answer:

Coordinate geometry is one of the most important and exciting ideas of mathematics. In particular it is central to the mathematics students meet at school. It provides a connection between algebra and geometry through graphs of lines and curves. This enables geometric problems to be solved algebraically and provides geometric insights into algebra.

The invention of calculus was an extremely important development in mathematics that enabled mathematicians and physicists to model the real world in ways that was previously impossible. It brought together nearly all of algebra and geometry using the coordinate plane. The invention of calculus depended on the development of coordinate geometry.

Step-by-step explanation:

Answer:

2x² + 19x + 45

Step-by-step explanation:

(x + 5)(x + 1) + (x + 5)(x + 8) ← expand both sets of factors using FOIL

= x² + 6x + 5 + x² + 13x + 40 ← collect like terms

= 2x² + 19x + 45

Answer:

0; 3; 9.

Step-by-step explanation:

If x=20 then y=0.5x20-10 so: 20x0.5=10 10-10=0

If x=26 then y=0.5x26-10 so: 26x0.5=13 13-10=3

If x=38 then y=0.5x38-10 so: 38x0.5=19 19-10=9

Answer:

k = \(\frac{7}{9}\)

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportionality

y = \(\frac{7}{9}\) x ← is in this form

with k = \(\frac{7}{9}\)

Answer:

\(\frac{7}{9}\)

Step-by-step explanation:

A direct variation function is in this general form:

\(y = kx\\\rule{150}{0.5}\\k -\text{ Constant of Proportionality}\)

Since \(\frac{7}{9}\) is in 'k's place, it is the Constant of Proportionality.

Hope this helps you.

Answer:

3⁴×9²

81×81

6561...............

Answer:

\({ \tt{2n - 6 + ( - 8n) + 14}} \\ \)

- Simplify the equation by isolating common terms together;

\( = { \tt{2n + ( - 8n) + 14 - 6}} \\ = { \tt{2n - 8n + 14 - 6}} \: \: \: \: \: \: \\ = { \tt{ - 6n + 8}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

- Simplify to the final expression; as 2 is the common factor

\({ \boxed{ \tt{2(4 - 3n)}}}\)