a) What information is provided by each of the graphs below? b) Explain below which of the two graphs is the best representation of the data. Support your thinking by using numbers from each graph.

Answer:

-3x -12

Step-by-step explanation:

-6x +3x = -3x

-3-9 = -12

Answer:

The answer is A

Step-by-step explanation:

Edg : )

Answer:

A

Step-by-step explanation:

Answer:

the 7th

Step-by-step explanation:

Answer:

the 27th

Step-by-step explanation:

Tonnys birthday is on the 27th

Answer:

B. -1

Step-by-step explanation:

Edge 2021

Answer:

BC = 21 cm

Step-by-step explanation:

In similar triangles the corresponding sides are in same proportion.

Its given in the sum that AC = 12 cm; DF = 20 cm and EF = 35 cm.

      \(\sf \dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\\\\\\\dfrac{AC}{DF}=\dfrac{BC}{EF}\\\\\dfrac{12}{20}=\dfrac{BC}{35}\)

     \(\sf \dfrac{12}{20}*35=BC\\\\\\\dfrac{12}{4}*7=BC\\\\\\3*7=BC\\\\ \boxed{BC = 21 cm}\)

Answer:

y=-1/2x+1

Step-by-step explanation:

The line on the graph is showing the slope is decreasing by -1/2, in our equation, it's: -1/2x. (For every x, y decreases by 1/2)

The y-intercept is 1, this is where the line intersects the y-axis.

In correct format, the linear equation is: y=-1/2x+1

To calculate the total surface area of a triangular prism, we need to find the area of each face and add them up.

The triangular faces have base 5cm and height 12cm, so each one has an area of:

(1/2) x 5cm x 12cm = 30cm²

There are two of these faces, so their combined area is:

2 x 30cm² = 60cm²

The rectangular faces have dimensions 5cm x 10cm and 5cm x 13cm, so their areas are:

5cm x 10cm = 50cm²

5cm x 13cm = 65cm²

Again, there are two of these faces, so their combined area is:

2 x (50cm² + 65cm²) = 230cm²

Finally, we add up the areas of all the faces to get the total surface area:

60cm² + 230cm² = 290cm²

Therefore, the total surface area of this triangular prism is 290cm².

Answer:

the minimum number of bits needed for quantization is 7

Step-by-step explanation:

Given the data in the question;

if quantization is Δv, then the maximum quantization Error is Δv/2

now if we split up the whole range  from -\(m_{p}\) to \(m_{p}\) evenly into L levels, so

Δv = \(2m_{p}\) / L

Δv / 2 = \(m_{p}\) / L

given that the error must be at most 1% of \(m_{p}\),

1%\(m_{p}\) = \(m_{p}\) / L

1/100 × \(m_{p}\) = \(m_{p}\) / L

100 = L

now L must be a factor of 2 to be binary encoded,

so lets consider;

L = 128

2ⁿ = 128¹

2ⁿ = 2⁷

n = 7

Therefore, the minimum number of bits needed for quantization is 7

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

Learn more about sum, here:

https://brainly.com/question/537797

#SPJ2

Answer:

a) Area of a rectangle = length × width

Area = 6138cm²

Width = 62m

length = Area / width

length = 6138/62

length = 99m

b) Perimeter of a rectangle = 2l + 2w

l = length

w = width

perimeter = 338m

length = 98m

338 = 2(98) + 2w

2w = 338 - 196

2w = 142

w = 71m

width = 71m

Hope this helps.

Answer:

  a[1] = 4

  a[n] = -3·a[n-1]

Step-by-step explanation:

The sequence given is not a geometric sequence, since the ratios of terms are -3, -3, 3 -- not a constant.

If we assume that the last given term is supposed to be -108, then the common ratio is -3 and each term is -3 times the previous one. That is expressed in a recursive formula as ...

  a[1] = 4 . . . . . . . . . . .  first term is 4

  a[n] = -3·a[n-1] . . . . . each successive term is -3 times the previous one

Answer:

41

Step-by-step explanation:

Answer:

41 year

s

Step-by-step explanation:

The derivative of y with respect to x in the equation is: dy/dx = -88x^7 / (132x^21y + 3y^2)

It should be noted that to find dy/dx, we need to differentiate both sides of the equation with respect to x, using the chain rule for the second term:

11x^8 + 6x^22y + y^3 = 18

Differentiating both sides with respect to x:

(11x^8)' + (6x^22y)' + (y^3)' = 0

Using the power rule, we get:

88x^7 + 132x^21y dy/dx + 3y^2 dy/dx = 0

Now, we can factor out dy/dx:

dy/dx (132x^21y + 3y^2) = -88x^7

dy/dx = -88x^7 / (132x^21y + 3y^2)

Learn more about equations on;

https://brainly.com/question/2972832

#SPJ1

Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

To learn more about percentages visit the link below:

https://brainly.com/question/30399396

Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

Read more about percentage

https://brainly.in/question/21062337#:~:text=Answer%3A,has%20no%20unit%20of%20measurement.

Answer:

Step-by-step explanation:

8.008.009

The variables are as follows:

x = 4

y = 4.8

The lengths of the sides of the kites are 4.5 and 6.8 units.

A kite is a quadrilateral with 2 pairs of consecutive congruent sides. The diagonals are perpendicular in a kite.

The non vertex angles are congruent.

Therefore,

x + 0.5 = 2x - 3.5

2x - x = 0.5 + 3.5

x = 4

y + 2 = 2y - 2.8

2y - y = 2 + 2.8

y = 4.8

Hence,

length of one pair = 4 + 0.5 = 4.5 units

length of the other pair = 4.8 + 2 = 6.8 units

learn more on kite here: https://brainly.com/question/20705002

#SPJ1

Answer:

See below

Step-by-step explanation:

The domain of the quadratic equation is going to be \(\mathbb{R}\) (all reals), since you can set x to be any real number and get a real value of y.

I can't see the graph, but the range of the quadratic is going to be y ≥ 4 (if the graph opens upwards) or y ≤ 4 (if the graph opens downwards).

The rule for the graph changes form of the function is A)The graph is reflected across the x-axis.

What is function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). Function is a relation that connects members of one set in a certain way to those of another set. Formally speaking, a function from to is an object such that each is specifically linked to an object. Therefore, a function is a many-to-one (or occasionally, one-to-one) relation.

Here Through moving up c units, the graphs of g can be determined from the graph of f. If we subtract c from f(x), the graph shifts downward. Let   h(x) = f(x)-c Shifting downward c units yields this graph of h from the graph of f.

We know that if the function reflected over x-axis then

g(x) = -f(x)

Here the given function f(x) = \(x^2-4\) then reflection over x-axis then

=> g(x) = -f(x)

=> g(x) =-( \(x^2-4\))

=> g(x) = \(-x^2+4\)

Hence the correct option is A)The graph is reflected across the x-axis.

To learn more about function refer the below link

https://brainly.com/question/11624077

#SPJ1

Answer:

i) \(P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669\)

ii) \(P(X=0)=(20C0)(0.25)^0 (1-0.25)^{20-0}=0.00317\)

\(P(X=1)=(20C1)(0.25)^1 (1-0.25)^{20-1}=0.0211\)

\(P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669\)

And replacing we got:

\( P(X \geq 3) = 1- [0.00317+0.0211+0.0669]= 0.90883\)

iii) \(P(X <2)= 0.00317+ 0.0211= 0.02427\)

Step-by-step explanation:

Let X the random variable of interest "number of inhabitants of a community favour a political party', on this case we now that:

\(X \sim Binom(n=20, p=0.25)\)

The probability mass function for the Binomial distribution is given as:

\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)

Where (nCx) means combinatory and it's given by this formula:

\(nCx=\frac{n!}{(n-x)! x!}\)

Part i

We want this probability:

\(P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669\)

Part ii

We want this probability:

\(P(X\geq 3)\)

And we can use the complement rule and we have:

\(P(X\geq 3) = 1-P(X<3)= 1-P(X \leq 2) =1- [P(X=0) +P(X=1) +P(X=2)]\)

And if we find the individual probabilites we got:

\(P(X=0)=(20C0)(0.25)^0 (1-0.25)^{20-0}=0.00317\)

\(P(X=1)=(20C1)(0.25)^1 (1-0.25)^{20-1}=0.0211\)

\(P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669\)

And replacing we got:

\( P(X \geq 3) = 1- [0.00317+0.0211+0.0669]= 0.90883\)

Part iii

We want this probability:

\( P(X <2)= P(X=0) +P(X=1)\)

And replacing we got:

\(P(X <2)= 0.00317+ 0.0211= 0.02427\)

In Jameson's drawing, the nose cone has an area of 5 square inches. Each of the fins has an area of 3 square inches and the total area of the drawn rocket is 22 square inches.

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

The drawing (see attachment)

The area of the nose cone is

Area = 1/2 * 5 * 2

Area = 5 square inches

For the fin, we have

Fin = 1/2 * 3 * 2

Fin = 3 square inches

Lastly, we have

Total area = (4 + 2 + 1) * 2 + 5 + 3

Total area = 22 square inches

Read more about area at

https://brainly.com/question/24487155

#SPJ1

Answer:

Step-by-step explanation:

Hello,

\((fog)(0)=f(g(0))\\ g(0) = 6*0+4=4\\f(g(0))=f(4)=4*4+5=16+5=21\)

\((gof)(0)=g(f(0))\\ f(0)=4*0+5=5\\g(f(0))=g(5)=6*5+4=30+4=34\)

hope this helps

Answer:

142

Step-by-step explanation:

Definition: an = a1 + f × (n-1)

Sequence: 9, 16, 23, 30, 37, 44, 51, 58, 65 ...

Common Difference: +7

The sum of all numbers up through the 20th: 1510

20th value: 142

Hope this helps! :)

Answer:

If the two polygons are similar, then their sides are proportianal.

We see that sides in the larger polygon are two times as long as the sides of the smaller polygon.

So, if the larger polygon has a side length of 13, then the smaller polygon would have a side length of 13/2, or 6.5

Let me know if this helps!

Answer: D. Parallelogram

Step-by-step explanation: Step 1. Input all the points on a graph, there's not really much to it, sorry if I didn't help but the answer is D

Answer:

17 boys and 11 girls

Step-by-step explanation:

Create a system of equations where b is the number of boys and g is the number of girls:

b + g = 28

b = g + 6

Solve by substitution, by substituting the second equation into the first one:

b + g = 28

(g + 6) + g = 28

2g + 6 = 28

2g = 22

g = 11

So, there are 11 girls.

Since there are 6 more boys than girls, there are 17 boys.

So, there are 17 boys and 11 girls in the class.

Answer: $4,998

Step-by-step explanation:

34000*1.147

38998-34000=4998

Answer:

1. 23

2. 8

Step-by-step explanation:

☆Cross multiply.

\( \frac{2}{10} = \frac{4}{a - 3} \\ \\ 40 = 2(a - 3) \\ 40 = 2a - 6 \\ \frac{ + 6 = \: \: \: \: \: \: \: \: + 6}{ \frac{46}{2} = \frac{2a}{2} } \\ \\ 23 = a\)

--------

\( \frac{k}{6} = \frac{4}{3} \\ \\ \frac{24}{ 3} = \frac{3k}{3} \\ \\ 8 = k\)

The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

For more such questions on probability, click on:

https://brainly.com/question/31048927

#SPJ8