Find the area of a circle with diameter 14 in.
Use the value 3.14 for , and do not round your answer.
Be sure to include the correct unit in your answer.

Answer:

q=10 n=10

Step-by-step explanation:

nickel = 5¢ (or 0.05)

quarters = 25¢ (or .25)

[tex]q+n=20\\.25q+.05n=3\\\\\\-.05(q+n)=20(-.05)\\-.05q-.05n=-1\\\\-.05q-.05n=-1\\.25q+.05n=3\\---------\\0.2q= 2\\-- --\\0.2 \\q=10 \\\\10+n=20\\n=20-10\\n=10\\\\.25(10)+.05(10)=3\\2.5+0.5=3[/tex]

Number of steps that he needed to walk to achieve the goal is 3141 steps

The goal of the Jayden = 10000 steps

The number of steps that he walked = [tex](\frac{1}{19} )^{-3}[/tex] steps

Here we have to convert  the given number of steps to the suitable form for calculation

The number of steps that he walked

[tex](\frac{1}{19} )^{-3}[/tex] steps = [tex]19^3[/tex] steps

Find the power of the number

[tex]19^3[/tex] steps = 6859 steps

Number of steps that he needed to walk to achieve the goal = The goal of the Jayden - The number of steps that he walked

Substitute the value in the equation,

Here we have to sue the subtraction

Number of steps that he needed to walk to achieve the goal  = 10000 - 6859

= 3141 steps

Hence, number of steps that he needed to walk to achieve the goal is 3141 steps

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Answer: the answer is 8.70.

Step-by-step explanation:

Since were rounding to the 2 decimal places(hundredths) we can immediately drop the 5. since 2 is not greater than 5 we do not round to 8.71. So, the answer is 8.70!

We have to calculate the estimated standard error and means of the two samples before calculating  the test statistic for a two sample test of means with population variances equal but unknown.

In the given question, we have to explain steps that are necessary before you can calculate the test statistic for a two sample test of means with population variances equal but unknown.

The test statistic for a two-sample independent t-test is derived by dividing the difference between the means of the two samples by the estimated standard error, either pooled or unpooled. The total amount of variation in both groups is gauged by the anticipated standard error.

So we have to calculate the estimated standard error and means of the two samples before calculating  the test statistic for a two sample test of means with population variances equal but unknown.

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Answer:

A. y = 62x

Step-by-step explanation:

A.

y = 186/3x + b

y = 62x + b

186 = 62*3 + b

186 = 186 + b

b= 0

Answer:The x-intercept is

(-3/2)

The y-intercept is

(0,-3)

Step-by-step explanation:

to find the x and y intercept you have to make x and y equal zero then solve.

finding x

2x+0=-3

2x/2=-3/2

x=-3/2

finding y

2(0)+y=-3

-2        -2

y= -5

We get the squares of the number as 1 , 4 , 9 , 16.......as given below, hence we get square of any number by product with itself.

The outcome of multiplying an integer by itself is referred to as the resultant number's square. In essence, a square number is a result of multiplying two identical numbers. The best illustration of a square number in geometry is the area of a square with side lengths of "n" (where n is an integer).

As an illustration, (-7)² = -7 -7 = 49 (two negative signs multiplied by each other result in a positive sign). The value of multiplying -7 and -7 is 49, which is a positive square number.

Below are the squares of 1 to 100.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

11² = 121

12² = 144

13² = 169

14² = 196

15² = 225

16² = 256

17² = 289

18² = 324

19² = 361

20² = 400

21² = 441

22² = 484

23² = 529

24² = 576

25² = 625

26² = 676

27² = 729

28² = 784

29² = 841

30² = 900

31² = 961

32² = 1024

33² = 1089

34² = 1156

35² = 1225

36² = 1296

37² = 1369

38² = 1444

39² = 1521

40² = 1600

41² = 1681

42² = 1764

43² = 1849

44² = 1936

45² = 2025

46² = 2116

47² = 2209

4²2 = 2304

49² = 2401

50² = 2500

51² = 2601

52² = 2704

53² = 2809

54² = 2916

55² = 3025

56² = 3136

57² = 3249

58² = 3364

59² = 3481

60² = 3600

61² = 3721

62² = 3844

63² = 3969

64² = 4096

65² = 4225

66² = 4356

67² = 4489

68² = 4624

69² = 4761

70² = 4900

71² = 5041

72² = 5184

73² = 5329

74² = 5476

75² = 5625

76² = 5776

77² = 5929

78² = 6084

79² = 6241

80² = 6400

81² = 6561

82² = 6724

83² = 6889

84² = 7056

85² = 7225

86² = 7396

87² = 7569

88² = 7744

89² = 7921

90² = 8100

91² = 8281

92² = 8464

93² = 8649

94² = 8836

95² = 9025

96² = 9216

97² = 9409

98² = 9604

99² = 9801

100² = 10000

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A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(σ)= 1.55

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) =[tex]z_{\alpha /2}\frac{\sigma}{\sqrt n}[/tex]

So n= [tex](z_{\alpha /2}\frac{\sigma}{ME})^2[/tex]

where n=sample size

We firstly find the value of ME and [tex]z_{\alpha /2}[/tex].

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of [tex]z_{\alpha /2}[/tex].

The given interval is 99%=99/100=0.99

The value of [tex]\alpha[/tex] =1−0.99

The value of [tex]\alpha[/tex] =0.01

Then the value of [tex]\alpha /2[/tex] = 0.01/2 = 0.005

From the standard table of z

[tex]z_{0.005}[/tex] =2.58

Now putting in the value in formula of sample size.

n = [tex](2.58\times\frac{1.55}{0.25})^2[/tex]

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(σ)= 2×1.55

Standard deviation of resistance(σ)= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n= [tex](2.58\times\frac{3.1}{0.5})^2[/tex]

Simplifying

n=(7.998/0.5)^2

n=(15.996)^2

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

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Answer:

y = 5x + 16

Step-by-step explanation:

You need the slope and the y-intercept to write the line of the equation.

Slope change in y over change in x.  An ordered pair is in the form (x,y)  Subtract the y's on top of a fraction and subtract the x's on the bottom of a fraction.

(-4,3) (-5,-2)

[tex]\frac{-2 -3}{-5 - -4}[/tex] = [tex]\frac{-5}{-5+4}[/tex] = [tex]\frac{-5}{-1}[/tex] = 5

The slope is 5

y-intercept:

Use one of the points.  I am going to use the point (-4,3) and the slope.

Slope = 5

y value = 3

x value = -4

y=mx + b

-4 = 5(-4) + b

-4 = -20 + b  Add 20 to both sides

16 = b

y = 5x + 16

Answer:

535.50

Step-by-step explanation:

hope this helps :)

Answer:

535.50

Step-by-step explanation:

Hope this helps : )

There are 450 positive integers between 100 and 999 (both included) that are divisible by 3 or 4.

According to the question,

We have the following information:

Positive integers between 100 and 999 including both these integers which are divisible by 3 or 4

Now, the number of positive integers between 100 and 999 is (999-100+1) or 900.

Now, the numbers divisible by 3 will be in multiplication of 3.

So, number which are divisible by 3:

900/3 = 300

Now, the numbers divisible by 4 will be in multiplication of 4:

So, the numbers which are divisible by 4:

900/4 = 225

Now, there are also numbers in numbers divisible by which are divisible by 3. So, they are 1/3 of the numbers divisible by 4:

225/3

75

Now, total numbers divisible by 4:

225-75

150

Now, total numbers divisible by 3 or 4:

300+150

450

Hence, there are 450 positive integers between 100 and 999 (both included) that are divisible by 3 or 4.

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Answer:

x=2

y=16

Step-by-step explanation:

fill in y

2x+(6x+4)=20

8x+4=20

   -4.  -4

8x=16

/8. /8

x=2

Now fill in X to find y

y=6(2)+4

y=12+4

y=16

Hopes this helps please mark brainliest

Answer:

(6,3)

Step-by-step explanation:

A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician the odor Escherich, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 50 cells.

The relative growth rate is k = 3 ln 2 hr -1

To find out the relative growth rate:

Let the exponential model is

A = [tex]Pe^{kt}[/tex]

We have been given that

(a)Cell divides into two cells every 20 minutes

[tex]t = \frac{20}{60} = \frac{1}{3}hr[/tex]

A = 2P

Thus, we have

2P= Pe[tex]\frac{k}{3}[/tex]

In 2 = In(e[tex]\frac{k}{3}[/tex])

In 2 = [tex]\frac{k}{3}[/tex]

k = 3 ln 2 hr -1

Hence, the answer is k = 3 ln 2 hr -1 for the relative growth rate

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The length of the first piece is 5 inches  , the length of second piece is 15 inches   and the length of third piece is 20 inches  .

In the question ,

it is given that

the second piece is given to be 3 times as long as the first piece ,

and the third piece is given to be  4 times as long as the first piece .

let the length of the first piece [tex]=[/tex] x ,

So , the length of second piece [tex]=[/tex] 3x

and the length of the third piece [tex]=[/tex] 4x ,

total length of the board = 40 inch ,

So the equation becomes , x + 3x [tex]+[/tex] 4x [tex]=[/tex] 40

8x = 40

x = 40/8

x = 5

the first piece = 5 inches

second piece = 3*5 = 15 inches

third piece = 4*5 = 20 inches

Therefore , The length of the first piece is 5 inches  , the length of second piece is 15 inches   and the length of third piece is 20 inches  .

The given question is incomplete , the complete question is

A 40 inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. X equal the length of the first piece, find the length of all three pieces ?

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The answer is 12x-1

From the question, we have

2(3x - 5) +3 (2x+3)

=6x-10+6x+9

=12x-1

The answer is 12x-1

Addition:

The act of combining two or more items is known as addition. The process of computing the sum of two or more numbers in mathematics is called addition. It is a fundamental mathematical procedure that is frequently used in daily life. When we work with money, figure out our food bills, or figure out the time, we frequently employ addition. One-digit numbers can be added simply for solving addition problems, however for bigger numbers, we divide the numbers into columns using their corresponding place values, such as ones, tens, hundreds, thousands, and so on.

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The new coordinates of Y and Z will be (-3, 9) and (3, 10), respectively.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

In the direction plane, point X(0,2) is meant the point X(1,- 3).

The rule of the transformation is written as,

(1, -3) ⇒ (0, 2)

(1, -3) ⇒ (1 - 1, -3 + 5)

(x', y') ⇒ (x - 1, y + 5)

Then the translation of the point Y(-2, 4) will be given as,

(x'', y'') ⇒ (-2 - 1, 4 + 5)

(x'', y'') ⇒ (-3, 9)

Then the translation of the point Y(4, 5) will be given as,

(x''', y''') ⇒ (4 - 1, 5 + 5)

(x''', y''') ⇒ (3, 10)

The new coordinates of Y and Z will be (-3, 9) and (3, 10), respectively.

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Given: Mary, Gracie, and Nancy all have little collections of seashells, but Gracie has 5 more than 14 times as many as Mary does. So Mary has 16 shells

To find: Recognize the equation that captures this circumstance and recognize its resolution.

olution:

Let x be mary's shells, so according to question, we get:

gracie = 14x + 5   nancy  = 1 x+ 1

Now we have given that:

          gracie = nancy

So: 14x + 5 = 1 x + 1

  5/4x + 5 = 3/2x + 1

Fractions will be eliminated by multiplying by the common denominator of 4, but this step is optional; you can still work with fractions if you choose.

Now solving further, we get:

        5x + 20 = 6x + 4  5x - 6x = 4 - 20    -x = - 16    x = 16.

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Algebraic expression of the given statement, is 8z+6.

In the given question,

We have to write a algebraic expression of the given statement.

The given statement is "6 more than the product of 8 and a number Z".

Since we have to write the algebraic expression. So the simplest way to write the algebraic expression of any statement is to read the statement carefully. Then break the statement into small step. Then write the expression as the statement saying one by one. Then you can easily write the expression of any statement.

In the given statement it saying that 6 more than means we add the 6 in expression.

Next it says that product of 8 and a number Z. That means 8×z i.e. 8z.

Now the expression should be 8z+6.

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Right question is

"Write an algebraic statement of phrase "6 more than the product of 8 and a number Z"."

I'll do the first two parts, (a) and (b), to get you started.

===========================================================

Part (a)

First we need the slope.

[tex]A = (x_1,y_1) = (-2,-4) \text{ and } B = (x_2,y_2) = (1,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - (-4)}{1 - (-2)}\\\\m = \frac{2 + 4}{1 + 2}\\\\m = \frac{6}{3}\\\\m = 2\\\\[/tex]

The slope is 2.

Then apply point-slope form to get the following

[tex]y - y_1 = m(x - x_1)\\\\y - (-4) = 2(x - (-2))\\\\y + 4 = 2(x + 2)\\\\y + 4 = 2x + 2*(2)\\\\y + 4 = 2x + 4\\\\y = 2x + 4 - 4\\\\y = 2x\\\\[/tex]

slope = 2

y intercept = 0

===========================================================

Part (b)

We follow the same idea as part (a).

Find the slope first.

[tex]A = (x_1,y_1) = (-6,-2) \text{ and } B = (x_2,y_2) = (0,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - (-2)}{0 - (-6)}\\\\m = \frac{2 + 2}{0 + 6}\\\\m = \frac{4}{6}\\\\m = \frac{2}{3}\\\\[/tex]

Then apply point-slope form, and solve for y.

y - y1 = m(x - x1)

y - (-2) = (2/3)(x - (-6))

y + 2 = (2/3)(x + 6)

y + 2 = (2/3)x + (2/3)(6)

y + 2 = (2/3)x + 4

y = (2/3)x + 4 - 2

y = (2/3)x + 2   is the answer

slope = 2/3

y intercept = 2

The point estimate of the proportion of vehicles not covered by insurance is 0.23.

Given x = Number of Successes = 69

n = sample size = 300

We are interested in the point estimate of the population proportion p.

What is the point estimate of the population proportion p and how do we calculated is shown below.

The point estimate of the number of successes x and the sample size n

p = x/n

Substituting the known values into the formula and evaluating, we obtain:

p = x/n = 69/300 = 0.23

Hence the answer is The point estimate of the proportion of vehicles not covered by insurance is 0.23.

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Step-by-step explanation:

Problem #1:

A number is divisible by 4 if the last 2 digits of that number are multiple of 4 . So for example the number 2316 is a multiple of 4 because it ends with " 16 " and " 16 " is a multiple of 4 .

Write a program that prompts the user to enter an integer and displays whether the number is a multiple of 4 or not. The program stops reading integers, when the user inputs a negative value. It shows at the end the total number of values entered which are multiple of 4 .

Sample Run:

Enter an integer: 4

4 is a multiple of 4

Enter another integer: 213

213 is not a multiple of 4

Enter an integer: 2316

2316 is a multiple of 4.

Enter an integer: -20

The total number of integers entered which are multiple of 4 is 2 .

The simplest form of complex expression is (a+bi) = 50+(-68)i.

What is complex expression?

A complex number is a number that is written as a + ib, in which “a” is a real number, and “b” is an imaginary number. The complex number contains a symbol “i” which satisfies the condition i^2 = −1.

Given,

8(5-9i)+2(5+2i)

= 40 - 72i +10 +4i

=50 - 68i

or we can write it as

= 50 + (-68i)

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Answer:

$34.24

Step-by-step explanation:

Answer: 34.24

Step-by-step explanation:

90% confidence interval for the mean airborne time for flights from San Francisco to Washington Dulles is (264.639, 275.5066), if 10 randomly selected flights from San Francisco to Washington Dulles airport.

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. An area created using fixed-size samples of data from a population (sample space) that follows a particular probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability.

Given,

Airborne times (in minutes) for 10 randomly selected flights from San Francisco to Washington Dulles airport.

269 255 267 285 274 275 266 258 271 281

Sample mean = 270.10

Standard deviation = 9.326

Sample size = 10

Confidence level = 90%

Formula:

Confidence interval

= x ± tₐ₎₂(s/√n)

= 270 ± 1.833(9.326/√10)

= 270.1 ± 5.4066

= (264.639, 275.5066)

90% confidence interval for the mean airborne time for flights from San Francisco to Washington Dulles is (264.639, 275.5066), if 10 randomly selected flights from San Francisco to Washington Dulles airport.

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Answer: President James Monroe's 1823 annual message to Congress contained the Monroe Doctrine, which warned European powers not to interfere in the affairs of the Western Hemisphere. Understandably, the United States has always taken a particular interest in its closest neighbors – the nations of the Western Hemisphere

Step-by-step explanation:

thats time4learning

The equation of the line that passes through the point (18,-3) with slope -1 is y = -x+15.

According to the question,

We have the following information:

The line passes through the point (18,-3) with slope -1.

We know that the following formula is used to find the equation of the line passing through a point with the slope which is denoted by m:

(y-y') = m(x-x')

In this case, we have the following values:

m = -1

x' = 18 and y' = -3

Putting these values in the above formula:

y-(-3) = -1(x-18)

y+3 = -x+18

Subtracting 3 from both sides of the equation:

y = -x+18-3

y = -x+15

Hence, the equation of the line that passes through the point (18,-3) with slope -1 is y = -x+15.

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The probability of taking out a red sweet is; 1/3. The probability of taking out a green, blue or orange sweet is; 10/21

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We are given that there are 4 yellow, 3 blue, 5 green, 7 red and 2 orange sweets in my bag.

The total sweets = 4+3+5+7+2 = 21

1. the probability of taking out a red sweet is;

7/21 = (7:7)/(21:7)

= 1/3

2. The probability of taking out a green, blue or orange sweet is;

= (5+3+2)/21

= 10/21

Hence, The probability of taking out a red sweet is; 1/3. The probability of taking out a green, blue or orange sweet is; 10/21

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7.8c + 6p - 3.4c - 10

combine c terms:

4.4c + 6p - 10

If you need to factor:

4.4c + 6p - 10

2(2.2c + 3p - 5)

The correct option (A) -5 which represents the slope of the graphed line having points (0,2) and (1,-3).

The general form for forming the linear equation is:

[tex]y-y1= m (x-x1)[/tex]

where x and y are axis coordinates respectively.

m is the slope of the straight line.

Now we need to calculate the slope of the line.

Formula used:

[tex]m = y2- y1/x2-x1[/tex]

Here,

[tex](x1, y1) = (0, 2), (x2, y2) = (1,-3).[/tex]

[tex]m = (-3-2)/(1-0)\\m = -5/1\\m = -5[/tex]

Therefore, the slope of the graphed line is -5 having points (0,2) and (1,-3).

So, the -5 number best represents the slope of the graphed line.

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Step-by-step explanation:

The correct option (A) -5 which represents the slope of the graphed line having points (0,2) and (1,-3).

The general form for forming the linear equation is:

y-y1= m (x-x1)y−y1=m(x−x1)

where x and y are axis coordinates respectively.

m is the slope of the straight line.

Now we need to calculate the slope of the line.

Formula used:

m = y2- y1/x2-x1m=y2−y1/x2−x1

Here,

(x1, y1) = (0, 2), (x2, y2) = (1,-3).(x1,y1)=(0,2),(x2,y2)=(1,−3).

\begin{gathered}m = (-3-2)/(1-0)\\m = -5/1\\m = -5\end{gathered}

m=(−3−2)/(1−0)

m=−5/1

m=−5

Therefore, the slope of the graphed line is -5 having points (0,2) and (1,-3).

So, the -5 number best represents the slope of the graphed line.