distance between points -2,2 and 6,-4

All values of y in the simplest form are 3 and -3

The equation is given as

21 = |7y|

The above equation is an absolute value equation

When the above equation is expanded, we have the following equations

So, we have

-21 = 7y and 21 = 7y

Divide both sides of the equations by 7

So, we have

-3 = y and 3 = y

Rewrite as

So, we have

y = -3 and y = 3

Hence, all values of y in the simplest form are 3 and -3

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Answer:

-3=-18

-1=-8

0=-3

1=2

4=17

Step-by-step explanation:

if g(x)=5x-3 s substitute all x figures and calculate

The relative frequency are

i) Pilot error = 15.9 percent

ii)   Human Error =3.8 percent

iii)   Weather = 19.3 percent

iv)  Mechanical problem = 42 percent

v)  Sabotage = 19.2 percent

The formula for the relative frequency is = f/n

                             Where, f = the number of times the data occurred in an observation

                                           n = total number of observations.

If we have to convert it into percentage form we will multiply it by 100

Thus we have been given that

       Crashes due to pilot error = 260

       Crashes due to other human error = 62

       Crashes due to weather = 315

      Crashes due to mechanical problem = 682

       Crashes due to sabotage = 313

Total number of errors occurred = 260+62+315+682+313

                                                           = 1632

Hence, the relative frequency are

 i) Pilot error = 260/1632 * 100 = 15.9 percent

 ii) Human Error = 62/1632 * 100 =3.8 percent

iii)  Weather = 315/1632 * 100 = 19.3 percent

iv) Mechanical problem = 686/1632 * 100 = 42 percent

v) Sabotage = 313/1632 * 100 = 19.2 percent

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The minimum and maximum allowed baseball masses are 143 grams and 147 grams

The given parameters are

Mass = 145 grams

Vary = 2 grams

This means that the allowed baseball masses are

Allowed baseball masses = Mass  ± Vary

This gives

Allowed baseball masses = (145 - 2, 145 + 2) grams

Evaluate

Allowed baseball masses = 143 grams, 147 grams

Hence, the minimum and maximum allowed baseball masses are 143 grams and 147 grams

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The expression of 15km as a percentage of 120km as required in the task content is; 12.5%

Since it follows from convention that a percentage is a representation of an entity as a fraction of a hundred partitions.

On this note, the percentage representation is such that;

15km of 120km is;

(15/120) × 100%

0.125 × 100%

= 12.5%.

Ultimately, 15km is 12.5% of 120km.

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The vertex of the equation g(x) = I x ₊ 6 I is (₋6 , 0).

Given the equation is g(x) =  I x ₊ 6 I

The equation of the absolute value function  is:

y = I x ₋ h I ₊ k where (h , k) is the vertex.

When the input is 0, the vertical axis will be intersected by the graph of an absolute value function. The horizontal axis is not usually where they cross. Depending on how the graph has been moved and reflected, it may or may not cross the horizontal axis.

compare the given equation to the above form.

y = I x ₊ 6 I ₊ 0

y = I x ₋ (₋6) I ₊ 0

hence we (h,k) as (₋6 , 0)

Therefore the coordinates of the vertex are (₋6 , 0)

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Answer:

Find the rate of change for each set of ordered pairs. What is

the average rate of change of all three sets?

(1, 15), (2, 12)

(-1,14), (3, 10)

(3,11), (5, 15)

Write your answer to the average rate of change as a fraction,

a/b.

Step-by-step explanation:

The assumption that the population variances are not equal and that the two populations are normally distributed is −35.713332; 0.313332.

To assume that the population variances are not equal and that the two populations are normally distributed:

Given:

So, df = n1 + n2 - 2; 11 + 18 - 2 = 27.

T critical = T0.01, 27 = 2.473

Let,

Then,

Now,

Therefore, the assumption that the population variances are not equal and that the two populations are normally distributed is −35.713332; 0.313332.

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Answer:

17 because you have to sutract them

Step-by-step explanation:

The monthly installments need to be paid is $10995.

To determine the number of months needed to pay off the remaining balance. We need to know the monthly installment.

When you get an installment loan, you get the money you borrowed or the item you bought right away.

Now, as per the question;

Amount paid in cash = $1500

Remaining balance which is to be paid as monthly installments

= $12495 - $1500

=$12495 − $1500

=$10995

Thus, the monthly installments are $10995.

Now, to determine the number of months needed to pay off the remaining balance. The monthly installment is need to be known.

As a result, information on monthly installments is lacking.

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The complete question is-

What necessary piece of information is missing that prevents solving the problem? By paying $1500 cash and the balance in equal monthly payments, how many months would it take to pay for a car costing$12,495?

A bird flies from a nest that is 822 3/10 feet above sea level to the bottom of a canyon that is 56 1/10 feet below it.

The canyon is 737 feet higher than the bird's nest, by a difference of 3 feet.

based on the facts provided, we know that;

The depth below sea level is 52 3/ 5 feet, hence the value would be negative.

The height above sea level is 789 3/ 10, which requires a positive number.

Let's convert the improper fractions from the mixed fractions;

= - 263/ 5 = - 52. 6 feet

789 3/ 10 = 7893/ 10 = 789. 3 ft

the canyon's and the bird's nest's contrasting elevations;

= -52. 6 + 789. 9

Equals 737. 3 feet

Consequently, there is a 737. 3 foot difference in height between the canyon and the bird's nest.

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4.05 with (05) repeating if converted to a fraction or mixed number will be

[tex]4\frac{5}{99}[/tex].

As per the question statement, we are provided with a repeating decimal, 4.05 with (05) repeating.

We are required to convert the repeating decimal into a mixed number.

To solve this question, we need to know the formula to convert any repeating decimal number to a fraction which goes as:

[tex]\frac{[(DN*F)-NRF]}{D}[/tex]

Where, DN denoted the concerned Decimal Number,

(F = 10) if one repeating is number, 100 if two repeating numbers, 1000 if three repeating numbers and so on.

NRP denotes the Non-repeating part of decimal number.

And, D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, and so on, similar to F.

Then, using our given data in the above formula, we get

4.05 with (05) repeating = [tex]\frac{(4.05*100)-4}{99}=\frac{(405-4)}{99}=\frac{401}{99}=4\frac{5}{99}[/tex].

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The domain of the function:{x|x<-1 and x>1} or (-∞,-1] ∪[1,∞) and the range of the function {y|y∈R} or (-∞,∞) .

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.

In the given graph we can see that the values of x are all real values greater than 1 and all real values less than 1

Therefore the domain of the function is set-builder notation is given by:

{x|x<-1 and x>1}

The domain of the function in interval notation is given by:

(-∞,-1] ∪[1,∞)

Therefore the range of the function is set-builder notation is given by:

{y|y∈R}

The range of the function in interval notation is given by:

(-∞,∞)

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Answer:

Starting paragraphs:

My name is _______. I was born on a cloudy night on the ___ of _______, _____ in ___________ . My parents were very happy as they had been blessed with a baby boy/girl, and that girl/boy is me!

1 year passed by and my 1st birthday was celebrated with much joy and it turned out to be a super extravagant event.

I do not remember much of my early childhood but my parents said that I was a very active, curious and a communicative child. I would ask dozen of questions each minute, without waiting for the answers. I suppose that's why my parents offered me books as early as my third birthday.

Ending paragraph:

I am thankful for my parents, teachers and friends for making me the person who I am today.

Explanation:

Compose your autobiography with the help of the following points:

The weights that are significantly low z₁ = 5.361308 grams and significantly high z₂ = 5.48057 grams  

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

z -score = (z₁ - μ₀) / σ

where μ₀  is the mean and σ the standard deviation.

Consider a value to be significantly low if its z score is less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.

Here μ₀ = 5,37215 and σ = 0.05421

Substitute z -score = -2

⇒ -2  = (z₁ - 5,37215)/0.05421

⇒ (-2)(0.05421) = z₁ - 5.37215

⇒ -0.10842 = z₁ - 5.37215

⇒ z₁ = 5.37215 - 0.010842

⇒ z₁ = 5.361308

And if z = 2

Here μ₀ = 5,37215 and σ = 0.05421

Substitute z -score = 2

⇒ 2(0.05421) = z₂ -  5.37215

⇒ 0.10842 = z₂ - 5.37215

⇒z₂ = 5.37215 + 0.10842

⇒ z₂ = 5.48057  

Therefore, the weights that are significantly low z₁ = 5.361308 grams and significantly high z₂ = 5.48057 grams

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Your question is incomplete, probably the complete question is:

A data set lists the weights​ (grams) of a type of coin. Those weights have a mean of 5.37215 g and a standard deviation of .05421 g. Identify the weights that are significantly low or significantly high.

Consider a value to be significantly low if its z score is less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.

Answer:ACF

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

x = 5th test

(82 + 76 + 90 + 0 + x) /5 = 70

248 + x = 70*5

x = 350 - 248

x = 102

Answer:

(i)  2² · 3 · 7

(ii)  3024

(iii) k = 16

(iv) 12 cm

Step-by-step explanation:

The first few prime numbers are:  2, 3, 5, 7, 11, 13, 17, ...

To find which prime numbers multiply together to make 84, start by dividing 84 by the first prime number, 2:

⇒ 84 ÷ 2 = 42

As 42 is not a prime number, we need to divide again:

⇒ 42 ÷ 2 = 21

As 21 is not a prime number, we need to divide again.  

21 is not divisible by 2, so let's try dividing by the next prime number, 3:

⇒ 21 ÷ 3 = 7

As 7 is a prime number, we can stop.

Therefore, 84 is the product of:

⇒ 84 = 2 · 2 · 3 · 7

As 2 appears two times, we can write this using exponents:

⇒ 84 = 2² · 3 · 7

Lowest Common Multiple (LCM):  The lowest multiple shared by two or more numbers.

Prime Factors Method of finding LCM

Step 1

Find the prime factorization of each number.

From part (i):            84 = 2² · 3 · 7

Given in part (ii):    432 = 2⁴ · 3³

Step 2

Write each number as a product of primes, matching primes vertically where possible:

[tex]\begin{array}{ r c c c c c c c ccccccccc}84&=& 2 & \cdot & 2 & \cdot & & & & & 3& \cdot & & & && 7\\\\432 &=& 2 & \cdot & 2 &\cdot & 2& \cdot & 2& \cdot & 3& \cdot & 3& \cdot & 3\\\\\cline{1-17} \\\sf LCM & = & 2 & \cdot & 2 &\cdot & 2& \cdot & 2& \cdot & 3& \cdot & 3& \cdot & 3 &\cdot & 7\end{array}[/tex]

Step 3

Bring down the primes in each column then multiply the factors to get the LCM:

⇒ LCM = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 7

⇒ LCM = 2⁴ · 3³ · 7

⇒ LCM = 3024

From part (ii) we know that the prime factorization of 432 is:

432 = 2⁴ · 3³

A perfect cube is a number multiplied by itself three times.

One of the factors of 432 is a perfect cube → 3³.

Therefore,

[tex]\begin{aligned}432 & = 2^4 \cdot 3^3\\\\\implies \dfrac{432}{2^4} & = 3^3\\\\\dfrac{432}{16} & = 3^3\end{aligned}[/tex]

So we need to divide 432 by 2⁴ to get the perfect cube 3³.

Therefore,

⇒ k = 2⁴

⇒ k = 2 · 2 · 2 · 2

⇒ k = 16

To find the largest possible length of the side of the square, we need to find the greatest common factor of 432 and 84.

Prime Factors Method of finding GCF

Step 1

Find the prime factorization of each number.

From part (i):            84 = 2² · 3 · 7

Given in part (ii):    432 = 2⁴ · 3³

Step 2

Write each number as a product of primes, matching primes vertically where possible:

[tex]\begin{array}{ r c c c c c c c ccccccccc}84&=& 2 & \cdot & 2 & \cdot & & & & & 3& \cdot & & & && 7\\\\432 &=& 2 & \cdot & 2 &\cdot & 2& \cdot & 2& \cdot & 3& \cdot & 3& \cdot & 3\\\\\cline{1-17} \\\sf GCF & = & 2 & \cdot & 2 & \cdot & & & & & 3& & & & && \end{array}[/tex]

Step 3

Bring down the primes in the columns where both numbers have the factor, then multiply the factors to get the GCF:

⇒ GCF = 2 · 2 · 3

⇒ GCF = 12

Therefore, the largest possible length of the side of the square is 12 cm.

Answer:

24:40

Step-by-step explanation:

3:5

This means there are 8 divisions altogether - 8 parts to be split (3+5=8)

64 / 8 = 8

8x3 = 24

8x5 = 40

£24:£40

Hope this makes sense!

Three principles of experimental design: Control, Random, Enough.

What is the principle of an experiment?

The guiding principles of experimental designs are randomization, replication, and local control. These recommendations offer a valid test of significance.

What are the three experimental design principles, and can you briefly describe how each one reduces experimental error?

How many experimental design principles are there?

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Answer:

the option Si mark as light green are correct

Answer:

3 3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 30

Answer:

is that the equation ? is that all they gave you

im going to answer but do you mean

(x +2y+3)

Step-by-step explanation: