can someone plsss help me with this I’ll mark brainliest

 Can Someone Plsss Help Me With This Ill Mark Brainliest

Answers

Answer 1
circle 4:
Radius: 2.4cm (r= d/2)
Diameter: 4.8 (given)
Circumference: 15.072cm ( c= 2πr [if given radius] or c= πd [if given diameter])
Circle 5:
Radius : 3.5cm
Diameter :7
Circumference: 43.96

Related Questions

What is the most specific category this shape can be sorted into?

A Venn diagram titled Triangles. Inside the diagram are circles, there is one labeled Scalene and one labeled Isosceles. Inside the Isosceles circle is another circle labeled Equilateral. Below the diagram is a triangle with a single tick mark on each side.

Equilateral
Isosceles
Scalene
Triangle

Answers

The most specific category that this shape can be sorted into is "Triangle."

What is the triangle?

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

The Venn diagram shows the relationships between different types of triangles.

The Scalene circle represents all the triangles that have no equal sides.

The Isosceles circle represents all the triangles that have two equal sides.

The Equilateral circle represents all the triangles that have three equal sides.

The triangle with a tick mark on each side does not provide enough information to determine whether it is a scalene, isosceles, or equilateral triangle.

Therefore, the most specific category that this shape can be sorted into is "Triangle."

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The product of two consecutive square numbers in 900 .
Work out the 2 numbers

Answers

Answer:

25&36

Step-by-step explanation:

25 is a square number and so is 36 and there product is 900. They are also consecutive.

Just assemble the square numbers from the least i.e 4 and try solving as asked to see if it gives 900.

Thus you'll land on 25&36

Answer:

5² and 6²

Step-by-step explanation:

Use trial and error

Start from the product of 1² and 2²

1×2²

1×4=4

4<900 (incorrect)

2²×3²

4×9=36

36<900(incorrect)

3²×4²

9×16=144

144<900(incorrect)

4²×5²

16×25=400

400<900(incorrect) *but close

5²×6²

25×36 =900

900=900(correct)

: . 5² and 6² are the two consecutive square numbers.

Write x² + 12x − 1 in the form (x + a)² + b, where a and b are constants

Answers

The given equation x² + 12x − 1  can be written in the form of algebraic identity (x + 6)² -37

Algebraic identities are equations in algebra that hold regardless of the value of each of their variables. The factorization of polynomials makes use of algebraic identities. On both sides of the equation, they have variables and constants.

Write x² + 12x − 1 in the form (x + a)² + b, where a and b are constants.

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added to a variable before being multiplied by it.

[tex]The \ given \ equation\ is\ \\\\x^2+12x-1\\let , \ x^2+12x=1\\\\add \ both\ side \ \frac{12^2}{4}\\\\x^2+12x+\frac{144}{4}=1+\frac{144}{4}\\\\x^2+12x+36=1+36\\x^2+2.6.x+6^2-37\\\\(x-6)^2-37\\\\[/tex]

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Construct ΔPOR, Where PQ = 7.5cm, QR = 5cm and ∠Q = 90º

Answers

Using the given information, we found the angles of the right triangle as:

∠R = 56.30º

∠P = 33.7º

∠Q = 90º

What is a right triangle?

A triangle with a right angle, also known as a right-angled triangle or right-angled triangle, more technically an orthogonal triangle, has two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle. A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question. To describe the sides of right triangles, we utilise specific terminology. The side opposite the right angle is always the hypotenuse of a right triangle.

Given one of the angles of the triangles as 90º.

So it is a right triangle.

PQ = 7.5cm
QR = 5cm
∠Q = 90º

The figure is given below.

Now PR is the hypotenuse.

Hypotenuse = [tex]\sqrt{base^2+height^2}[/tex]

base = 5 = QR

height = 7.5 = PQ

PR = [tex]\sqrt{5^2+7.5^2} = \sqrt{81.25}[/tex] = 9.01 cm

We can find the angles using trigonometric relations.

sin R = PQ/PR = 7.5/9.01 = 0.832

∠R = 56.30º

∠P = 180 - (∠Q+∠R) = 180 - (90+56.30) = 33.7º

Therefore using the given information, we found the angles of the right triangle as:

∠R = 56.30º

∠P = 33.7º

∠Q = 90º

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Tim saw that a pair of $200 dollar jeans had been marked down by 20%. he told his friend that if you took the new price of the jeans and increased that value by 20%, the jeans would return to the original price of $200. do you agree with tim? show your calculations.

Answers

Answer: Let's use algebra to check if Tim is correct.

Let x be the original price of the jeans.

When the jeans are marked down by 20%, the new price becomes:

x - 0.2x = 0.8x

Tim claims that if we increase the new price by 20%, we will get the original price:

0.8x + 0.2(0.8x) = x

Simplifying the left-hand side:

0.8x + 0.16x = x

0.96x = x

This is not true for all values of x, which means that Tim's claim is not correct.

Let's use the given information that the original price is $200 to find out what the new price is after the 20% discount:

New price = Original price - Discount

New price = $200 - 20% of $200

New price = $200 - $40

New price = $160

If we increase the new price of $160 by 20%, we get:

New price + 20% of new price

$160 + 20% of $160

$160 + $32

$192

This is not equal to the original price of $200, so we can conclude that Tim's claim is incorrect.

WILL GIVE BRAINLIST TO BEST ANSWER

A store sells two types of shirts.

Short-sleeved shirts cost $12. Long-sleeved shirt cost $16.

One day, 48 shirts are sold at a total cost of $624. How many MORE short-sleeved shirts did they sell than long-sleeved shirts?

Answers

If a store sells two types of shirts. The number of short-sleeved shirts that were sold than long-sleeved shirts is 24 shirts.

How to find the number of shirt?

Number of short-sleeved shirts sold =S

Number of long-sleeved shirts sold = L

we know that:

s + l = 48 (equation 1) -- Total number of shirts sold

12s + 16l = 624 (equation 2) -- Total cost of shirts sold

To solve for the number of short-sleeved shirts sold, we can use equation 1 to express "l" in terms of "s":

l = 48 - s

Substituting this into equation 2

12s + 16(48 - s) = 624

Simplifying and solving for "s"

12s + 768 - 16s = 624

-4s = -144

s = 36

Therefore, 36 short-sleeved shirts were sold.

To find the number of long-sleeved shirts sold, we can use equation 1 again:

s + l = 48

36 + l = 48

l = 12

Therefore, 12 long-sleeved shirts were sold.

How many MORE short-sleeved shirts were sold than long-sleeved shirts,:

36 - 12 = 24

So, 24 MORE short-sleeved shirts were sold than long-sleeved shirts.

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3.1-4.6n-3n+8
who can help me on this

Answers

Answer: -7.6n + 11.1

Step-by-step explanation:

We will simplify the given expression by combining like-terms.

   Given:

3.1 - 4.6n - 3n + 8

  Subtract like-terms:

3.1 - 7.6n + 8

   Add like-terms:

11.1 - 7.6n

Answer:

[tex] \sf \: -7.6n + 11.1 [/tex]

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The expression is,

→ 3.1 - 4.6n - 3n + 8

Let's simplify the expression,

→ 3.1 - 4.6n - 3n + 8

→ -4.6n - 3n + 3.1 + 8

→ (-4.6n - 3n) + (3.1 + 8)

→ (-7.6n) + (11.1)

-7.6n + 11.1

Hence, the answer is -7.6n + 11.1.

The graph below belongs to which function family?
linear
quadratic
cubic
absolute value

Answers

The answer is quadratic
The graph shows an ( Absolute Value )

Suppose you have a sample of 100 observations and you construct the empirical cumnlative distribution function (ECDF) based on this sample. What is the value of the ECDF at the smallest observation in the sample? 0 1/100 1/2 Not enough information to determine Empirical cumbotive Distribution fundion

Answers

ECDF=1/100

The value of the empirical cumulative distribution function (ECDF) at the smallest observation in a sample of 100 observations is 1/100.What is the empirical cumulative distribution function (ECDF)?The empirical cumulative distribution function (ECDF) is a graph that depicts the distribution of a given data set. It is used to illustrate the proportion or percentage of data points that fall below a particular value in the distribution. The ECDF can be used to construct a distribution function for data that do not have an existing theoretical distribution.The ECDF value at the smallest observation in a sample of 100 observations is 1/100. This is because the ECDF takes on a value of 0 for all values that are smaller than the smallest observation. Since there are 100 observations in the sample, each observation has a weight of 1/100. Thus, the ECDF value at the smallest observation is 1/100.

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If QV= 14 then what is the length of QU? and If QV= 14 then what is the length of QU? and If RV = 17 then what is the length of VS?

Answers

Answer:

QU is 21, and I *think* that VS would be 8.5.

Answer:

QV = 21 , VS = 8.5

Step-by-step explanation:

QU and RS are medians of Δ PQR

the point V where the medians intersect is the centroid.

on each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint.

then

VU = [tex]\frac{1}{2}[/tex] QV = [tex]\frac{1}{2}[/tex] × 14 = 7

so

QU = QV + VU = 14 + 7 = 21

and

VS = [tex]\frac{1}{2}[/tex] RV = [tex]\frac{1}{2}[/tex] × 17 = 8.5

Question 3
Write the ordered pair for the post office.
?
Understand the Coordinate Plane-Quiz - Level E
DONE
10-
2987
7-
6543 N
4-
2
1
O
2 3 4 5 6
6 7
Post
Office
Library
8 9 10
A
X

Answers

Based on the coordinate plane, the ordered pair for the post office is (9, 9).

What is an ordered pair?

In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph.

By critically observing the coordinate plane shown in the image attached below, we can logically deduce that the coordinates of the post office would be located in quadrant I at point (9, 9).

Similarly, the the coordinates of the library is also located in quadrant I and it is represented by the ordered pair (6, 2).

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help me find the missing sides to solve this equation

Answers

Step-by-step explanation:

use the function sohcahtoa to solve as all these triangles are right angled

Find the distance between the two points in simplest radical form.
(−3,6) and (−8,−6)

Answers

Answer:

13

Step-by-step explanation:

To find the distance between two points in a coordinate plane, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using this formula, we can find the distance between the points (-3, 6) and (-8, -6) as follows:

d = sqrt((-8 - (-3))^2 + (-6 - 6)^2)

= sqrt((-5)^2 + (-12)^2)

= sqrt(25 + 144)

= sqrt(169)

= 13

Therefore, the distance between the two points in simplest radical form is 13.

Singular Savings Bank received an initial deposit of $3000. It kept a percentage of this money in reserve based on the reserve rate and loaned out the rest. The amount it loaned out was eventually all deposited back into the bank. If this cycle continued indefinitely and eventually the $3000 turned into $50,000, w

Answers

Singular Savings Bank received an initial deposit of $3000. By keeping a percentage of this money in reserve based on the reserve rate, the bank loaned out the rest. Over time, the money loaned out was all deposited back into the bank, and with each additional deposit the bank was able to lend out even more money.

This cycle of lending and depositing continued indefinitely until the initial $3000 had increased to $50,000. This increase in money was possible due to the reserve rate, which allowed the bank to lend out a percentage of the money deposited and to keep a percentage in reserve for themselves.

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Help!! I suck at math and I’m failing

Answers

Answer:

It's very difficult

maby

A farmer is painting his silo. A typical can of paint covers 400 squared meters. How many cans of paint will the farmer need to buy in order to paint the entire exterior of the silo?

Answers

around 13 jars of paint will the farmer need to buy in order to paint the entire exterior of the silo.

To find the number of jars the rancher required to get, you really want to know the surface area of both the cone and cylinder.

The method for finding the SA of the cone would be area =[tex]3.14 x r^2 + 3.14 x r x sqrt(r^2 + h^2)[/tex].

SA= 1976.0617791 [tex]m^2[/tex].

The method for finding the SA of the cylinder under the cone would be 3.14 x d x (d/2 + h).

A = 3097.6103564 [tex]m^2[/tex]

Then, at that point, you need to add 1976.0617791+3097.6103564 which gives you 5,073.8. (5,073 is the total surface area of the storehouse)

Then, the partition that by 400.

5,073.8/400 = 12.7

He would have to purchase around 13 jars of paint to have the option to paint the whole storehouse.

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P(x)=4x^(5)+3x^(2)+2x+a

Answers

The value of a is -9

What is standard form of a polynomial?

When expressing a polynomial in its standard form, the greatest degree of terms are written first, followed by the next degree, and so on.

[tex]P(x)=4x^5+3x^2+2x+a[/tex]

Question might be asking to find the value of 'a'  at the point (1, 0) on the graph of  [tex]P(x)=4x^5+3x^2+2x+a[/tex]

Substitute the point into the polynomial.  i.e., x=1, y=0

=>  [tex]0=4(1)^5+3(1)^2+2(1)+a[/tex]

=> 0=  4*1 + 3*1+2 +a

=> 0= 4+3+2+a

=> 0=9 +a

=> a= -9

The value of a is -9

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Complete Question:

Find the value of  [tex]P(x)=4x^(5)+3x^(2)+2x+a[/tex]

a coat cost 95$. alexa has 25$ and plans to save 10$ each month. Describe the numbers of months she needs to save to buy a coat

Answers

Hi Chan here’s your answer
Alexa needs to save 10$ each month in order to buy a coat that costs 95$. To do this, she will need to save for 9 months in order to have the full amount. This means that she will need to save 10$ each month for 9 months in order to be able to purchase the coat.

Suppose that [infinity] cn x n n = 0 converges when x = −4 and diverges when x = 6. What can be said about the convergence or divergence of the following series?


(a) [infinity] cn n = 0 When compared to the original series, we see that x = here. Since the original series for that particular value of x, we know that this series.


(b) [infinity] cn7n n = 0 When compared to the original series, we see that x = here. Since the original series for that particular value of x, we know that this series.


(c) [infinity] cn(−2)n n = 0 When compared to the original series, we see that x = here. Since the original series for that particular value of x, we know that this series.


(d) [infinity] (−1)ncn7n n = 0 When compared to the original series, we see that x = here. Since the original series for that particular value of x, we know that this series

Answers

for (d), the x value has changed, as the (-1) in the series acts as a multiplier and flips the convergence of the original series. This means that when x = -4, the original series converges, but when x = -7, the series in (d) converges. Therefore, the series in (d) converges.

(a) Diverges

(b) Diverges

(c) Converges

(d) Converges: The original series converges when x = -4 and diverges when x = 6. For (a), (b), and (c), the x value remains the same as in the original series, so the convergence or divergence of the series is the same as the original series. However, for (d) the x value has changed. The (-1) in the series acts as a multiplier and flips the convergence of the original series, so the series converges.

The convergence or divergence of a series is determined by the value of x in the series. In this particular case, when x = -4 the original series converges, and when x = 6 it diverges. For (a), (b), and (c), the x value is the same as in the original series, so the convergence or divergence of the series is the same as the original series. However, for (d), the x value has changed, as the (-1) in the series acts as a multiplier and flips the convergence of the original series. This means that when x = -4, the original series converges, but when x = -7, the series in (d) converges. Therefore, the series in (d) converges.

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10+10(x+3)=
\,\,-x-10(-x+1)
−x−10(−x+1)

Answers

The sοlutiοn tο the equatiοn is x=7.

What is Equatiοn?

An equatiοn is an expressiοn that uses mathematical symbοls tο express the relatiοnship between twο οr mοre variables. Equatiοns are used tο describe physical laws, mοdel real-wοrld prοblems, and sοlve mathematical prοblems. Equatiοns can be written in a variety οf fοrms, frοm simple linear equatiοns tο cοmplex nοnlinear equatiοns. Equatiοns can alsο be used tο determine the prοperties οf certain functiοns and tο evaluate integrals.

Sοlving fοr x,

−10(−x+1)+10+10(x+3)=0

−10x+10−10x+10+100+30=0

−20x+140=0

20x=140

x=7

This equatiοn is an example οf a linear equatiοn. Linear equatiοns are equatiοns that invοlve οnly οne variable and can be represented in the fοrm ax + b = 0, where x is the variable and a and b are cοnstants. Linear equatiοns are useful fοr understanding the relatiοnship between different variables and can be used tο sοlve real-wοrld prοblems. In this equatiοn, the variable x is the unknοwn value that we are trying tο sοlve fοr. By rearranging the equatiοn and applying the apprοpriate algebraic οperatiοns, we were able tο sοlve fοr x. This is an example οf hοw linear equatiοns can be used tο sοlve real-wοrld prοblems.

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Solve for x in given expression.

10 + 10(x + 3) = −x −10(−x + 1)

sophie bikes s miles per hour. her friend rana is slower. Rana bikes r miles per hour. Yesterday, Rana bikes m miles. How many hours did rana bike yesterday?

Answers

Answer:

Step-by-step explanation: m miles

4) Find a polynomial of degree 4 that has real coefficients and has 3,2 and2+ias some of its roots. 10 points 5) Use the fact that 6 i is a zero off(x)=x 3−2x 2+36x−72to find the remaining zeros. 10 points

Answers

4) Let the polynomial function of degree 4 that has roots 3, 2, 2+ i as its roots be p(x).

So, the required polynomial function is:

p(x)=(x−3)(x−2)(x−(2+i))(x−(2−i))

= (x−3)(x−2)(x^2−(2+i)x−(2−i)x+(2−i)(2+i))

= (x−3)(x−2)(x^2−2x−ix+ix+4)

= (x−3)(x−2)(x^2−2x+4)

= x^4−9x^3+28x^2−36x+24

Thus, the polynomial function of degree 4 that has real coefficients and has 3, 2 and 2+ i as some of its roots is x^4−9x^3+28x^2−36x+24.

Given: x^3−2x^2+36x−72=0 and 6i is a zero of this polynomial function.

So, we can write it as:

x^3−2x^2+36x−72= (x−6i)(x−(−6i))(x−6)

= (x−6i)(x+6i)(x−6)

As this polynomial function has real coefficients, so the imaginary roots occur in conjugate pairs.

Thus, the remaining zeros are:

−6i (as 6i is a zero, so −6i is also a zero due to conjugate pair of complex roots) and 6 (as 6i is one factor of the polynomial function, so x−6i will be its conjugate factor, which will be x+6i. And, the remaining factor will be x−6)

Therefore, the remaining zeros of x^3−2x^2+36x−72 polynomial function are −6i and 6.

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What is the area of this shape? (Ignore the erased numbers)

Answers

Answer:

a= 528 squared centimeters

Step-by-step explanation:

Area of trapezoid is A=[(a+b)/2]*h

Base 1 is 32 cm

height is 12

since the height is also same as the bottom part as told by the line, do 32+12+12 to get...

56 cm for base 2

Sooo put this to use

a=[(32+56)/2]*12

a=[(88)/2]*12

a=[44]*12

a=528 :)

Answer:

Area 528cm²

That's the answer to your question.

Help!! Find m
this is geometry btw

Answers

The measure of angle ABD as required to be determined from the task content is; 32°.

What is the measure of angle ABD?

As evident in the task content;

m<ABD + m<CBD = m<ABC = 90°.

This follows from the fact that the angle ABC is a right angle.

4x - 4 + 2x + 40 = 90

6x = 54

x = 54 / 6 = 9

Ultimately, the measure of angle ABD is; 4(9) - 4 = 36 - 4 = 32.

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5. Solve the quadratic equation 14(x - 1)2-(x-1)-3=0​

Answers

Answer: x=10/9

Step-by-step explanation:

Angles and Parallel Lines Two parallel lines are cut by a transversal as shown in the image. Question 1 Find the measure of angle A. Responses A 150°150° B 115°115° C 125°125° D 130°

Answers

Maybe upload a photo no?

There are 30 sweets in a bag.
13 of the sweets are yellow.
The rest of the sweets are red.
(a) What fraction of the sweets in the bag are red?

Answers

Answer: just do 30 - 13 which = 17

Step-by-step explanation:

subtraction above

A rectangle mural measures 234 inches inches by 245. Rhiannon creates a new mural that is 33 inches longer

Answers

The new mural dimensions are 267 inches by 273 inches.To find the new dimensions, we must add 33 inches to the original length of 234 inches, giving us a new length of 267 inches.

To calculate the new dimensions of Rhiannon's mural, we must first identify the original dimensions of the mural which are 234 inches by 245 inches. To find the new dimensions, we must add 33 inches to the original length of 234 inches, giving us a new length of 267 inches. We must also add 28 inches to the original width of 245 inches, giving us a new width of 273 inches. Therefore, the new dimensions of Rhiannon's mural are 267 inches by 273 inches.

The complete question is :

A rectangle mural measures 234 inches by 245. Rhiannon creates a new mural that is 33 inches longer. What are the dimensions of Rhiannon's new mural?

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60% of all Americans live in cities with population greater than 100,000 people. If 47 Americans are randomly selected, find the probability that a. Exactly 25 of them live in cities with population greater than 100,000 people. b. At most 26 of them live in cities with population greater than 100,000 people. c. At least 30 of them live in cities with population greater than 100,000 people. d. Between 23 and 28 (including 23 and 28) of them live in cities with population greater than 100,000 people.

Answers

0.3406 (approx)

Given that 60% of all Americans live in cities with population greater than 100,000 people. If 47 Americans are randomly selected, we need to find the probability thata. Exactly 25 of them live in cities with population greater than 100,000 people.b. At most 26 of them live in cities with population greater than 100,000 people.c. At least 30 of them live in cities with population greater than 100,000 people.d. Between 23 and 28 (including 23 and 28) of them live in cities with population greater than 100,000 people.Probability is defined as the ratio of the favorable outcomes to the total outcomes of an event. The formula to calculate probability is given by;Probability = Number of favorable outcomes / Total number of outcomesa. Exactly 25 of them live in cities with a population greater than 100,000 people.Probability of exactly 25 Americans living in cities with population > 100,000 people is given by the probability mass function of the binomial distribution.P( X = 25) = 47 C 25 * (0.6)25 * (0.4)22= 0.1213 (approx)b. At most 26 of them live in cities with population greater than 100,000 people.We need to find the probability of at most 26 Americans living in cities with population greater than 100,000 people. This means the number of Americans living in cities with population greater than 100,000 is 0, 1, 2, ..., 26.P(X ≤ 26) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 26)P(X ≤ 26) = ΣP(X = r)Where r varies from 0 to 26P(X ≤ 26) = Σ (47 C r * (0.6)r * (0.4)47-r )r = 0 to 26= 0.6413 (approx)c. At least 30 of them live in cities with population greater than 100,000 people.We need to find the probability of at least 30 Americans living in cities with population greater than 100,000 people. This means the number of Americans living in cities with population greater than 100,000 is 30, 31, 32, ..., 47.P(X ≥ 30) = P(X = 30) + P(X = 31) + P(X = 32) + ... + P(X = 47)P(X ≥ 30) = ΣP(X = r)Where r varies from 30 to 47P(X ≥ 30) = Σ (47 C r * (0.6)r * (0.4)47-r )r = 30 to 47= 0.0031 (approx)d. Between 23 and 28 (including 23 and 28) of them live in cities with population greater than 100,000 people.We need to find the probability of the number of Americans living in cities with population greater than 100,000 is between 23 and 28 (both inclusive).P(23 ≤ X ≤ 28) = P(X = 23) + P(X = 24) + ... + P(X = 28)P(23 ≤ X ≤ 28) = ΣP(X = r)Where r varies from 23 to 28= Σ (47 C r * (0.6)r * (0.4)47-r )r = 23 to 28= 0.3406 (approx)Hence, the required probabilities are,a. P(X = 25) = 0.1213 (approx)b. P(X ≤ 26) = 0.6413 (approx)c. P(X ≥ 30) = 0.0031 (approx)d. P(23 ≤ X ≤ 28) = 0.3406 (approx)

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The correct statement regarding the translation of the functions f(x) and h(x) is given as follows:

The graph of h is a translation of 4 units left and 7 units down of f(x).

What is a translation?

A translation happens when either a figure or a function are moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.

The meaning of each translation from function f(x) to function h(x) is given as follows:

x -> x + 4 -> 4 units left.y -> y - 7 -> 7 units down.

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