If the 13th term in a linear sequence is 92 and the 28th term in the sequence is 152, what is the 6th term in the sequence?

Answers

Answer 1

Answer:

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Related Questions

The sides of a rectangle are enlarged by a scale factor of 2. Write
down the scale factor that the area is enlarged by.

Answers

Answer:

4

Step-by-step explanation:

both sides are multiplied by 2 which means its the original area*2*2 which means it's the original area*4

solve asap please!!!

Answers

ANSWER: 39.7%

Explanation:
1. Determine your chain's density first.
Mass / volume equals density.

volume equals water displaced ml = 20 ml
- 15 ml = 5 ml where volume = Volume of Final Level of Water - Initial Level of Water
Mass = 66.7 g

Density is equal to 66.7g/5 ml, or 13.34 g/ml.


2. Next, calculate the chain's density as the weighted average of its component densities.

Divided by the mass of the chain, the formula is: mass of gold, density of gold, mass of other metals, density of other metals.

If x is the weight of gold, then 66.7 - x is the weight of the other metals:

19.3 - 2 + 9.7 . (66.7
66.7
= 13.34
19.32 + 635.66 - 9.72
= 889.778
9.62
254.118
2 = 26.47
Then, there are 26.47 grams of gold in 66.7
grams of chain, which yields a percentage of:
(26.47 / 66.7) × 100 = 39.7%

Sheffield corporation shipped $20400 of merchandise on a consignment to Gooch company. Sheffield paid frieght cost of $2000. Gooch company paid $480 for local advertising wich is reimbursed from Sheffield . By year end 62% of the merchandise had been sold for $21500.Gooch notified Sheffield , retained a 10% commission , and remitted the cash due Sheffield . Prepare sheffield journal entry when the cash is received

Answers

The appropriate  journal entry when the cash is received is: Debit Cash $18,870, Debit Advertising expense $480, Debit Commission expense $2,150, Credit Revenue from consignment sales $21,500.

Journal entry

Sheffield corporation entries

Debit Cash $18,870

[$21500-($480+ ($21500×10%))]

Debit Advertising expense $480

Debit Commission expense $2,150

(21,500×10%)

Credit Revenue from consignment sales $21,500

Debit Cost of goods sold $13,888

[($20400+$2000)×62%]

Credit Inventory on consignment $13,888

Therefore  journal entry when the cash is received is: Debit Cash $18,870, Debit Advertising expense $480, Debit Commission expense $2,150, Credit Revenue from consignment sales $21,500.

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find the outer perimeter of this figure

Answers

Answer:

41.12 ft

Step-by-step explanation:

10 + 6 = 16

2 x pi x r = 25.12

16 + 25.12 = 41.12

Answer:

Step-by-step explanation:

find the outer perimeter of this figure

we find the perimeter of the semicircle

The perimeter of circle formula = 2πr units

r = diameter : 2 = 8 : 2 = 4

2π4 =

8π=

8 × 3.14 = 25.12 ft

find figure perimeter

25.12 + 6 + 10 =

41.12 ft

The function f(x)=−4x+1 has a horizontal asymptote at?

Answers

The function has a horizontal asymptote at y = 1

How to determine the horizontal asymptote?

The function is given as:

f(x) = -4/x + 1

Set the radicand to 0.

So, we have:

y = 0 + 1

Evaluate

y = 1

Hence, the function has a horizontal asymptote at y = 1

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Question
The epicenter of an earthquake is the point on Earth's surface directly above the earthquake's origin. A seismograph can be used to determine the distance to the epicenter of an earthquake. Seismographs are needed in three different places to locate an earthquake's epicenter. Find the location of the earthquake's epicenter if it is 2 miles away from A(−2,5), 4 miles away from B(2,3), and 7 miles away from C(−2,−4).

Answers

Answer:

The epicenter is ( - 2, 3)

Step-by-step explanation:

Let the epicenter be E(x, y).

Use the distance formula for each given distance:

AE² = (x + 2)² + (y - 5)² = 2²BE² = (x - 2)² + (y - 3)² = 4²CE² = (x + 2)² + (y + 4)² = 7²

Use the first and third equations, considering both have same term for x, and solve for y:

(y - 5)² - 4 = (y + 4)² - 49y² - 10y + 25 - 4 = y² + 8y + 16 - 4918y = 54y = 3

Substitute y into one of equations and solve for x:

(x + 2)² + (3 - 5)² = 4(x + 2)² + 4 = 4(x + 2)² = 0x + 2 = 0x = - 2

The epicenter is E( - 2, 3)

Answer:

(-2, 3)

Step-by-step explanation:

Given:

A = (-2, 5)  →  2 miles awayB = (2, 3)  →  4 miles awayC = (-2, -4)  →  7 miles away

Model each given point as the center of a circle and the distance the epicenter is away from the point as the circle's radius.

The epicenter's location will be the point of intersection of the three circles.

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where (a, b) is the center and r is the radius

Circle A

center = (-2, 5)radius = 2 miles

[tex]\implies (x+2)^2+(y-5)^2=4[/tex]

[tex]\implies x^2+4x+4+y^2-10y+25=4[/tex]

[tex]\implies x^2+4x+y^2-10y+25=0[/tex]

Circle B

center = (2, 3)radius = 4 miles

[tex]\implies (x-2)^2+(y-3)^2=16[/tex]

[tex]\implies x^2-4x+4+y^2-6y+9=16[/tex]

[tex]\implies x^2-4x+y^2-6y-3=0[/tex]

Circle C

center = (-2, -4)radius = 7 miles

[tex]\implies (x+2)^2+(y+4)^2=49[/tex]

[tex]\implies x^2+4x+4+y^2+8y+16=49[/tex]

[tex]\implies x^2+4x+y^2+8y-29=0[/tex]

To find the point of intersection of the three circles, solve simultaneously.

Substitute equation B into equation A to eliminate x² and y²:

[tex]\implies x^2-4x+y^2-6y-3=x^2+4x+y^2-10y+25[/tex]

[tex]\implies -4x-6y-3=4x-10y+25[/tex]

Rearrange to isolate y:

[tex]\implies -6y-3=8x-10y+25[/tex]

[tex]\implies 4y-3=8x+25[/tex]

[tex]\implies 4y=8x+28[/tex]

[tex]\implies y=2x+7[/tex]

Substitute the expression for y into equation C and simplify:

[tex]\implies x^2+4x+(2x+7)^2+8(2x+7)-29=0[/tex]

[tex]\implies x^2+4x+4x^2+28x+49+16x+56-29=0[/tex]

[tex]\implies 5x^2+48x+76=0[/tex]

Substitute the expression for y into equation B and simplify:

[tex]\implies x^2-4x+(2x+7)^2-6(2x+7)-3=0[/tex]

[tex]\implies x^2-4x+4x^2+28x+49-12x-42-3=0[/tex]

[tex]\implies 5x^2+12x+4=0[/tex]

Equate the equations to eliminate 5x² and solve for x:

[tex]\implies 5x^2+48x+76=5x^2+12x+4[/tex]

[tex]\implies 48x+76=12x+4[/tex]

[tex]\implies 36x+76=4[/tex]

[tex]\implies 36x=-72[/tex]

[tex]\implies x=-2[/tex]

Substitute the found value of x into the found expression for y:

[tex]\implies y=2(-2)+7[/tex]

[tex]\implies y=-4+7[/tex]

[tex]\implies y=3[/tex]

Therefore, the point of intersection of the three circles if (-2, 3) and hence the location of the earthquake's epicenter is (-2, 3).

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equivalent expressions to 7^3*7^x

Answers

7^3 x 7^x
=7^(3+x)

This is one of the rule in indices.

If DAB = 80°, then DAC =

Answers

Answer:

80

Step-by-step explanation:

DAB =DAC...........

The answer is 40
DAB = 1/2(DAC)

Lisa has $7.80 to spend on some tomatoes and a loaf of bread. Tomatoes cost $1.20 per pound, and a loaf of bread costs $1.80.The inequality 1.20x + 1.80 ≤ 7.80 models this situation, where x is the number of pounds of tomatoes.Solve the inequality. How many pounds of tomatoes can Lisa buy

Answers

Answer:

At maximum, she can buy 5 tomatoes.

Step-by-step explanation:

If you solve the inequality, as so:

1.2x+1.8 <=7.8

1.2x <= 6

x <= 5

11. What effect size do you use for parametric t-tests?
12. What effect size do you use for non-parametric t-tests?
13. What effect size would you use for chi-square tests?

Answers

The effective sizes for parametric tests, non parametric tests and chi square tests are as detailed below.

How to interpret the size of statistics test?

11) Parametric t-tests are statistical tests that assume the data approximately follows a normal distribution. Now, when trying to check for parametric t-tests, the effective size we use is Cohen's d which is an appropriate effect size for the comparison between two means.

12) Nonparametric t-tests are those statistical tests that don’t assume anything about the distribution followed by the data, and hence are also known as distribution free tests.

In non - parametric t - tests, we calculate effect size by using the formula;

r = z/√N

where;

r is effect size

z is z value

N is Observation number.

13) In the chi-square test, the effect size index (w) is calculated by dividing the chi-square value by the number of scores and taking the square root.

The effective size is considered small if w = 0.10, Considered medium if w = 0.30, and large if w = 0.50.

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Which of the relations given by the following sets of ordered pairs is a function?
O {(2,-8), (1, — 4), (0, 0), (1, 4), (2, 8)}
O {(3, -3), (3, -1), (3, 1), (3, 3), (3,5)}
O {(1, 2), (2, 3), (3, 4), (5, 6), (2, 1)}
O {(-2,5), (7,5), (-4, 0), (3, 0), (1, -6)}

Answers

Answer:

Option (4)

Step-by-step explanation:

Each value of x maps onto only one value of y, so it is a function.

Kylie has a modern quarter with a mass of 5.623 g and an older silver quarter with a mass of 6.24 g What is the combined mass of the quarters?

Answers

Answer:

11.863 g

Step-by-step explanation:

5.623 g + 6.24 g = 11.863 g

The sun
of three numbers is 24. If two numbers are 16 and 22, what is the third?

Answers

Answer:

The Third would be 72

Step-by-step explanation:

The sum of the two is 16+22=38. the third one is 72-38=34

Two cars start at the same time, but travel in opposite directions. One car's average speed is 80 miles per hour (mph). At the end of 2 hours, the two cars are 220 miles apart. Find the average speed in mph of the other car.

Answers

The speed of an object is the relationship between the distance covered by the object and the time taken. Thus, the average speed of the other car is 30 mph.

The speed of an object is the relationship between the distance covered by the object and the time taken. The expression for speed is given as;

speed = [tex]\frac{distance covered}{time taken}[/tex]

⇒ distance = speed x time taken

In the given question, the distance of the first car after 2 hours can be determined as:

distance = 80 mph x 2 h

              = 160 miles

The distance covered by the first car after 2 hours is 160 miles.

Thus, since the total distance between the two cars after 2 hours is 220 miles, then;

distance covered by the second car = 220 miles - 160 miles

                                                          = 60 miles

The distance covered by the second car is 60 miles.

So that the average speed of the other car is;

speed = [tex]\frac{60}{2}[/tex]

           = 30 mph

The average speed is 30 miles per hour (mph).

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The margin of sampling error is obtained by multiplying the standard error with the _______.

Answers

The margin of sampling error is obtained by multiplying the standard error with the critical value.

What is the margin of sampling error?

The margin of sampling error is a statistic that tells a researcher by how many percentage points the result gotten from the sample value would differ from that of the population. This value is obtained by multiplying the standard error with the critical value.

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Solve.
Three times the sum of some number plus 3 is equal to 7 times the number minus 23.

Answers

The unknown number of the given expression is 8

Linear equations

Let the unknown number be x such that three times the sum of some number plus 3 is equal to 7 times the number minus 23 is expressed as;

3(x + 3) = 7x - 23

Expand

3x + 9= 7x - 23

Collect the like terms

3x-7x = -23 - 9

-4x = -32

x = 8

Hence the unknown number of the given expression is 8

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For csc 330:
a) state value of the ratio exactly
b) find one equivalent expression
c) draw a diagram to illustarte.

Answers

The value of the ratio based on the angle illustrated is 1:12.

How to illustrate the information?

From the information given, it should be noted that the angle in a circle is 360°. Therefore, the value of theta will be:

= 360° - 330°

= 30°

The equivalent expression based on the angle will be:

= 30/360

= 1/12

= 1:12

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Graph line y=-1/4x+3

Answers

Answer:

connect the points (0, 3) and (4, 2)

An Annuity Immediate Has 32 Initial Quarterly Payments Of 20 Followed By A Perpetuity Of Quarterly Payments Of 25 Starting In The 9th Year. Find The Present Value At A Nominal Rate Of 16%

Answers

The present value of the nominal rate of the annuity will be $535.

How to calculate the annuity?

Annuity amount = 20

Number of annuities = 32

APR = 16%

PV of annuities = 357

Number of years to perpetuity = 8

Quarterly perpetuity = 25

PV of perpetuity at 9th year = 625

PV of perpetuity today = 178

Total PV = 357 + 178 = 535

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how can I solve for x? Answers ASAP

Answers

Using the inscribed angle theorem, the value of x is: 9.

What is the Inscribed Angle Theorem?

Note that an intercepted arc is regarded as part of the circumference of a circle, which is between a chord and a tangent. Thus, based on the inscribed angle theorem, the inscribed angle measure = 1/2(the intercepted arc measure).

So, we would have:

m∠DEF = 1/2(arc DE)

m∠DEF = 4x + 19

arc DE = 360 - (28x - 2) = 360 - 28x + 2

arc DE = 362 - 28x

Plug in the values

4x + 19 = 1/2(362 - 28x)

Solve for x

2(4x + 19) = 362 - 28x

8x + 38 = 362 - 28x

8x + 28x = 362 - 38

36x = 324

x = 324/36

x = 9

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Tina puts the letters of the word RADAR on pieces of paper and puts the pieces in a bag. She
draws two letters without looking. The first piece of paper is not replaced before the second
piece is drawn. What is the probability that Tina draws an R twice?

Answers

Answer:

1/10

Step-by-step explanation:

the probability of drawing r the first time is 2/5, if tina had gotten the r the first time, the probability of drawing r on the second time is 1/4, so the probability tina draws an r twice is 2/5 * 1/4, or 2/20, or 1/10

which of the following is an exponential function y=x^1/2 y=2x^3 y=3^x

Answers

Answer:

  (c)  y = 3^x

Step-by-step explanation:

A function is described as exponential if the independent variable is found in the exponent.

Choices

  y = x^(1/2) . . . a square root function, not exponential

  y = 2x^3 . . . . a cubic (polynomial) function, not exponential

  y = 3^x . . . . . an exponential function

WILL GIVE BRAINLIEST

given: RTSU is a rectangle with vertices R (0,0), S (0, a), T(a,a) and U, (a,0) where a ≠ 0
Prove: RTSU is a square
look at image

Answers

The missing parts of the proof are: A. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it is a square.

What is a Square?

A square is a special type of rectangle whose consecutive sides are congruent. All four sides of a square are congruent.

In the proof given, the distance formula [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] was used to find ST = a units in step 2.

By the definition of congruence, RS = ST in step 4.

Finally, RSTU is stated to be a square because if two consecutive sides of a rectangle are congruent, then it is a square.

The option that completes the proof in the right order is: A. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it is a square.

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Answer:

distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it’s a square

Step-by-step explanation:

so its c for me

Which ordered pair is a solution to the inequality 3x-4y<12 ?

Answers

The ordered pair (2,-1) is a solution the inequality.

Given the inequality is 3x-4y<12.

An inequality is a statement that compares two quantities and claims that one is greater or less than the other (the equation may also be included). These inequalities are linear if the variables are only linear.

By substituting each of the given option in the given inequality we will check which ordered pair satisfy the inequality.

1. (4,0)

Here x=4 and y=0

Substitute this in the inequality 3x-4y<12, we get

3(4)-4(0)<12

12<12

This is not true

2. (0,-3)

Here x=3 and y=-3

Substitute this in the inequality 3x-4y<12, we get

3(0)-4(-3)<12

12<12

This is not true.

3. (2,-1)

Here x=2 and y=-1

Substitute this in the inequality 3x-4y<12, we get

3(2)-4(-1)<12

6+4<12

10<12

This is true.

4. (4,-3)

Here x=4 and y=-3

Substitute this in the inequality 3x-4y<12, we get

3(4)-4(-3)<12

12+12<12

24<12

This is not true.

Hence, the ordered pair that satisfy the given inequality 3x-4y<12 is (2,-1).

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Consider the following graph

a) What is the equation of the axis?
b) What is the period?
c) What is the amplitude?
d) Is this a sine graph or a cosine graph? Explain

Answers

a) The equation of axis is the middle y-coordinate, which is y = -1.5.

b) The period is the amount of time it takes for the graph to repeat, which is 6.

c) The amplitude is the vertical distance from an extreme point to the midpoint, which is 3.

d) This is a cosine graph since when x=0, y is not equal to 0.

Match the expressions to their solutions or equivalents. (-3/8) + (-1/8)

Answers

Answer:

-1/2

Step-by-step explanation:

-3/8+-1/8=-4/8 which is equal to -1/2

Answer:

1/4

Step-by-step explanation:

(3/8)+(-1/8)

= (3/8) - (1/8)

= 2/8

= 1/4

A file that is 273 megabytes is being downloaded. If the download is 18.9 complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

Answers

Answer:

51.6 megabytes

Step-by-step explanation:

It is asking you what 18.9 percent of 273 is. To find this you multiply 18.9 x 273 and then divide it by 100 which equals 51.597.

You then round it to the nearest tenths which gives you 51.6

Which of the following rational functions is graphed below?

Answers

Answer:

A

Step-by-step explanation:

If you were to substitute 2 or -3 into equation A, the denominator would be zero and you would have to divide by zero. Thus there are asymptotes for this function at -3 and 2, matching the graph

To find the quotient of two fractions, you first need to rewrite the division problem as an equivalent multiplication problem. Find this quotient using multiplication.

Answers

2/3 ÷ 6/5 = 2/3 × 5/6 = 10/18 = 5/9
Answer : 5/9
Hope it helps !

The divisor of the expression 2/3 ÷ 6/5 is 9.

We have,

Expression:

2/3 ÷ 6/5

The concept used.

a/b ÷ c/d = ad / bc

Now,

2/3 ÷ 6/5

This can be written as,

= 2/3 x 5/6

= (2 x 5) / (3 x 6)

= 10 / 18

= 2 x 5 / 2 x 9

Cancel the common factor.

= 5 / 9

This can be read as,

Dividend = 5

Divisor = 9

Thus,

The divisor of the expression is 9.

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a. If you wanted to draw a circle around this triangle that passed through points A, B, and C as shown by circle P, what steps would you take to do that? b. What steps would you take to draw a circle within the triangle such that each side of the triangle became a tangent line to the circle as shown by circle R? c. If a line drawn from point B to point P measures 2 inches, what is the diameter, circumference, and area of circle P in terms of I? d. Describe how you would find the area of the region bounded by segment BC and arc BDC in terms of a if the arc measure of arc BDC is 60°

Answers

The circumference and area of the circle is 12. 57 inches and 12. 57 inches square respectively.

Steps involved in inscribing a triangle

The steps involved in inscribing a triangle;

Construct two chords on the circle.Then , draw a perpendicular bisector to the chords with the compass which must meet at the center of the circle. Make a line from the center to one of the farthest points of  the chords.Draw two lines to form a 30 degree with the radius on the opposite side.Stretch out these two lines to make two chords on the circle. The two chords should make  angle of 60 degrees to each other.Then connect the other extreme of the two chords this makes an equilateral triangle.

If the line drawn from point B to point P measures 2 inches, then the diameter is

=  2 × 2

= 4 inches.

The formula for calculating the circumference of a circle is given as;

Circumference = 2 π r

Radius = diameter/ 2

Radius = 4/2 = 2 Inches

Substitute the values

Circumference = 2 × 3. 142 × 2

Circumference = 12. 57 inches

Area = π r²

Area = 3. 142 × 2²

Area = 3. 142 × 4

Area = 12. 57 square inches

Thus, the circumference and area of the circle is 12. 57 inches and 12. 57 inches square respectively.

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Why do different types of atoms absorb different specific colors of light? The higher the number of electrons in the atom sets the spacing between levels. The different number of protons changes the Coulomb Force for the electron to move against. The spacing between levels is the same for atoms, only the number of electron jumps possible is different. The more protons and neutrons in the nucleus give a stronger gravitational pull for the electron to move against. The more neutrons in the nucleus makes energy levels closer together for heavier elements. A credit sale of $3,600 is made on July 15, terms 3/10, n/30, on which a return of $100 is granted on July 18. What amount is received as payment in full on July 24?a. $3,392b. $3,600c. $3,395d. $3,492 If the concentration of H3O+ in an aqueous solution is 7.6 10-9 M, the concentration of OH- is ________.A) 7.6 10-23 MB) 1.3 10+8 MC) 6.4 10-5 MD) 1.3 10-6 ME) 7.6 10-9 M Air enters a convergingdiverging nozzle at a pressure of 1200 kPa with negligible velocity. What is the lowest pressure that can be obtained at the throat of the nozzle? The specific heat ratio of air at room temperature is k = 1.4. The lowest pressure that can be obtained at the throat of the nozzle is kPa. evaluate the line integral, where c is the given curve. c (4x 18z) ds, c: x = t, y = t2, z = t3, 0 t 1 A scientist performed an experiment to study the effects of gravitational force on humans. In order for humans to experience twice Earth's gravity, they were placed in centrifuge 58 feet long and spun at a rate of about 15 revolutions per minute. a. Through how many radians did the people rotate each second. b. 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During the work day, for O Sts 9 hours, the sand pours into the bin at the rate given by )5000 P + 50 cubic meters per hour After one hour, for 1 Sts 9, sand is removed from the bin at the rate of R (1) = 23.9665 cubic meters per hour. a) How much sand is poured into the bin during the work day? Include units of measure. b) F ind S()-6) and include units of measure. Explain what this amount means in the ) ) context of the problem. Explain why the amount of How much sand, in cubic meters, is i sand in the bin is at a maximum when S(t)-R(t). n the bin at the end of the work day? The book, Structure of Scientific Revolutions written by Thomas S. Kuhn and he put forward three key concepts: normal science, scientific revolution, and _____________________. give an example of research/study that we discussed in the class and that could be credited as scientific revolution: _____________________. xperiments show that the retractive force f of polymeric elastomers as a function of temperature T and expansion L is approximately give by f(T, L) = aT(L - L_0) where a and L_0 are constants. (a) Use Maxwell's relations lo determine the entropy and enthalpy, S(L) and H(L), at constant T and p. (b) If you adiabatically stretch a rubber band by a small amount, its temperature increases, but its volume does not change. Derive an expression for its temperature T as a function of L, L_0, a, and its heat capacity C = (partial differential U/partial differential T). a modem transmits one million bits, each of them being 0 or 1. probability of sending 1 is 2/3, and transmitting each bit is independent from the others.(a) Estimate the probability that number of Is is at most 668,000 (b) Now assume modem only send 1000 bits. Estimate the probability that number of ones is at most 668. (c) Write a MATLAB script to compute the probability of part (b). How good is your approximation in (b)? (d) Now, use the following identity to approximate probability of having at most 668 ones: k-0.5-np where n = 1000 and p = 23 which approximation is better? We want to be able to analyze the combined results of the survey for both 21au and 21sp quarters. Write the command that will create a combined_results.csv file, containing the results from 21au, followed by the results from 21sp. The combined_results.csv file should have the header at the top but should not have the header from the intro_survey_21sp.csv file in the middle. Several ideologiessocial Darwinism, the self-made man and the Gospel of Wealthemerged in the Gilded Age, each with its advocates.Choose the statement most likely spoken by Henry George. "Everyone has an opportunity to climb the economic ladder, and if one doesnt, it is due to laziness." "Inheriting wealth or a title must be accompanied by an ability to adaptin order to be successful." "People should own what they create, but land and natural resources should belong to everyone equally." "Business leaders must be philanthropists and support those less fortunate in order to advance society." how will you determine/calculate the concentration of iodate in each well? Scientists explored how hoverflies detect motion by testing their response to a free-fall condition. Hoverflies were dropped from rest in a 40-cm -tall enclosure. Air resistance was not significant, and the flies could easily withstand a crash landing. The illumination in the enclosure and the patterning of the walls were adjusted between trials. Hoverflies dropped in darkness were generally not able to detect that they were falling in time to avoid crashing into the floor, while hoverflies dropped in a lighted enclosure with striped walls were generally able to avoid this fate. The findings imply that hoverflies rely on a visual rather than a kinesthetic sense to detect the condition of free fall. Suppose a hoverfly detects that it is falling 150 ms after being dropped, a typical time, and then starts beating its wings.How far has it fallen after 150 ms?What subsequent vertical acceleration is needed to avoid a crash landing? according to the text, miles davis was on the cutting edge of several jazz movements. however, he was not associated with: "According to utilitarianism, something as simple as brushing your teeth could be a moral act" True False The financial statements of Henley Co. contain a material departure from GAAP. Henley effectively argues that, due to unusual circumstances, the financial statements would have been misleading if they were prepared in conformity with GAAP. Based solely on this information, the auditor should:Group of answer choicesRender an unmodified opinion with no additional paragraphs of explanationRender a qualified (except for) opinion with an added paragraph preceding the opinion paragraph explaining the reason for the qualification. The paragraph is titled "Basis for Qualified Opinion."Render an unmodified opinion with a separate paragraph explaining the unusual situation.Render a disclaimer of opinion based on lack of sufficient appropriate audit evidence.