A parking space is 20 feet long. A pickup truck is 6 yards long. How many inches longer is the parking space than the truck

Answers

Answer 1

1 yard = 3 feet.

Multiply the length of the truck by 3 to get total feet:

6 x 3 = 18 feet.

Subtract the length of the truck from the length of the parking space:

20 - 18 = 2 feet

1 foot = 12 inches.

Multiply 2 feet by 12:

2 x 12 = 24 inches longer.


Related Questions

two sides of a right triangle Measure 11 in and 15 in.

Part A
Use decimals rounded to the nearest tenth to complete the following statement. The length of the third side of the triangle could be ________ inches or ________ inches.

Part B
Write two side of the equations that justify your answers to Part A.

Answers

The sides could be 10.2 inches or 15.7 inches.

See the attached picture for the equations:

Subtract. Write your answer as a mixed number in simplest form. 5 5 over 11 - 1 3 over11

Answers

[tex] \frac{55}{11} - \frac{13}{11} = \frac{42}{11} \: or \:3 \frac{9}{11} [/tex]

Tutor O-Rama claims that their services will raise student SAT math scores at least 50 points. The average score on the math portion of the SAT is μ=350 and σ=35. The 100 students who completed the tutoring program had an average score of 385 points. Is the students’ average score of 385 points significant at the 5% and 1% levels to support Tutor O-Rama’s claim of at least a 50-point increase in the SAT score? (2 pts) Is the Tutor O-Rama students’ average score of 385 points significantly different at the 5% and 1% levels from the average score of 350 points on the math portion of the SAT? What conclusion can you make, based on your results, about the effectiveness of Tutor O-Rama’s tutoring? (2 pts)

Answers

Answer:

See below

Step-by-step explanation:

The score increase was 35 points. They claimed an increase of at least 50 points.  For a significance level of 5%, the z-score for the situation needs to be at smaller than -1.645.  For a significance level of 1%, the z-score needs to be smaller than -2.325

The z score for our situation:  z = (385 - 350)/50 = 0.7

The average score of 385 of Tutor O-Rama scores is not significantly different from the average of the other students SAT scores.  The evidence doesn't support their claim of being effective tutoring.

 

In quadrilateral ABCD the measures of, A , B , C, and D are the ratio of 1 :2:3:4, respectively. Find the measures of the four angles

Answers

So the ratio are 1:2:3:4 and all these add up to 10

Now we divide 360 by 10 resulting to 36

A=(36)

B=(72)

C=(108)

D=(144)

All these add up to 360 and has been divided equally according to the ration provided

Final answer:

To find the measures of the angles in quadrilateral ABCD with ratios 1:2:3:4, we set the angles as x, 2x, 3x, and 4x, and use the fact that their sum equals 360 degrees. Solving for x, we find x to be 36 degrees, which gives us the individual angles as 36 degrees, 72 degrees, 108 degrees, and 144 degrees respectively.

Explanation:

Calculating the Measures of the Angles in a Quadrilateral

Given that the measures of the angles A, B, C, and D in quadrilateral ABCD are in the ratio of 1:2:3:4 respectively, we first need to understand that the sum of the interior angles in a quadrilateral is always 360 degrees. To find the measure of each angle, we should express the ratio in terms of x, which would give us the angles as x, 2x, 3x, and 4x. Summing these and setting them equal to 360 degrees, we get the equation x + 2x + 3x + 4x = 360. Simplifying, we have 10x = 360, which when solved for x yields x = 36 degrees. Therefore, the measures of the angles are:

Angle A = 1x = 36 degrees

Angle B = 2x = 72 degrees

Angle C = 3x = 108 degrees

Angle D = 4x = 144 degrees

Hence, each angle's measure has been found using the given ratio and the property of the sum of interior angles in a quadrilateral.

A sandwich shop offers 4 different meats and 2 different cheeses. Suppose the sandwich shop offers 24 different meat-cheese sandwiches. How many different breads does the sandwich shop use?

Answers

Answer:

Step-by-step explanation:

You would do this question like this.

4 meats * 2 cheeses * x breads = 24 different kinds of  sandwiches.

8x = 24

8x/8 = 24/8

x = 3

There are 3 different kinds of breads.

What is the value of x? Enter your answer in the box.

Answers

Check the picture below.

notice, we use the 30-60-90 rule to get the length of RT, and then the 45-45-90 rule to get "x".

Answer:

Step-by-step explanation:

Remark

x is going to be the same thing as the hypotenuse of ΔRST.  Find that and you have x.

Givens

<STR = 60°

RT = 2√3

Solution

Sin(60°) = opposite / hypotenuse

Sin(60°) = √3 / 2

Sin (60°)= 2 √3 / hypotenuse

hypotenuse = 2√3 // sin(60°)

hypoteneuse = 2√3 /√3/2

[tex]\text{hypotenuse = }\dfrac{2\sqrt{3}}{\dfrac{\sqrt{3} }{2}} = 2*2[/tex]

The √3's cancel. The answer is 4

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

ΔRTQ is a right angle isosceles triangle

∴RT = RQ

X = 4

Condense the following log into a single log:

[tex]log_{3} x+\frac{1}{3}log_{3} y-5log_{3} z[/tex]

Answers

Answer:

[tex]log_{3}(x . y^\frac{1}{3} / z^5 )[/tex]

Step-by-step explanation:

Given in the question an expression

[tex]log_{3} x+\frac{1}{3}log_{3} y-5log_{3} z[/tex]

To Condense this log into a single log we will use logarithm rules

1)Power rule

logb(x^y) = y ∙ logb(x)

[tex]\frac{1}3}log_{3} y = log_{3}y^\frac{1}{3}[/tex]

[tex]5log_{3} z = log_{3} z^5[/tex]

2)Product rule

logb(x ∙ y) = logb(x) + logb(y)

[tex]log_{3} x + log_{3}y^\frac{1}{3} = log_{3}(x . y^\frac{1}{3} )[/tex]

3)qoutient rule

[tex]logb(x / y) = logb(x) - logb(y)\\log_{3}(x . y^\frac{1}{3} )- log_{3} z^5[/tex]

= [tex]log_{3}(x . y^\frac{1}{3} / z^5 )[/tex]

Use substitution to write an equivalent quadratic equation. (3x + 2)2 + 7(3x + 2) – 8 = 0

Answers

Answer:

(u)^{2}+7(u)-8=0

Step-by-step explanation:

Answer:

The equivalent quadratic equation corresponding to (3x + 2)² + 7(3x + 2) – 8 = 0 is y² + 7y – 8 = 0  

Step-by-step explanation:

Here given (3x + 2)² + 7(3x + 2) – 8 = 0

Substitute 3x + 2 as y

Solving

          y² + 7y – 8 = 0  

The equivalent quadratic equation corresponding to (3x + 2)² + 7(3x + 2) – 8 = 0 is y² + 7y – 8 = 0  

In a museum there is a sculpture in the shape of a cylinder the cylinder has a diameter of 12 feet and a height of h feet which equation can be used to find v the volume of the cylinder in cubic feet

Answers

Answer:

[tex]V=36 \pi h\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder (sculpture) is equal to

[tex]V=\pi r^{2}H[/tex]

In this problem we have

[tex]r=12/2=6\ ft[/tex] ----> the radius is half the diameter

[tex]H=h\ ft[/tex]

substitute the values

[tex]V=\pi (6^{2})(h)=36 \pi h\ ft^{3}[/tex]

Answer:

36πh cubic feet

Step-by-step explanation:

To find the volume of a cylinder  with a diameter of 12 feet and a height of h feet, we must know the formula for finding the volume of  a cylinder.

The volume V of a cylinder with a radius r and a height h is given as

V = πR^2h

where π = 22/7

Given that the radius of the given cylinder is 12 feet, the radius r

= 12/2 feet

= 6 feet

The volume v

= π * 6^2 * h

= 36πh cubic feet

At a doctor's appointment, a baby weighed 10 pounds. How many ounces did the baby weigh?

Answers

Answer:

The baby would be 160 ounces.

Step-by-step explanation:

The baby who weighted 10 pounds, weighs 160 ounces.

How to convert a weight from pound to ounces ?

Given that at a doctor's appointment, a baby weighed 10 pounds.

From the conversion table, we know that 1 pound is equal to 16 ounces.

Thus 10 pounds is equal to 160 ounces.

Therefore, the baby weighted 160 ounces.  

To learn more about conversion of units, refer -

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plz help me


Charles and his friends started a community group in 2008 to address problems in their neighborhood and to host civic events. The group began with 40 members, and the number of members changed over time as shown in the graph, where the y-axis represents the number of members and the x-axis represents the number of years since 2008.


Which statement is true?


A.

The function indicates that the number of members is increasing at a rate that is constant.

B.

The function indicates that the number of members is increasing at a rate that is not constant.

C.

The function indicates that the number of members is decreasing at a rate that is constant.

D.

The function indicates that the number of members is decreasing at a rate that is not constant.

Answers

Answer:

B.

Step-by-step explanation:

Because the graph shown is not constant, if you look at when it hits a whole unit. It is increasing because it is moving right.

Answer:

The true statement is:

B.  

The function indicates that the number of members is increasing at a rate that is not constant.

Step-by-step explanation:

We could write the data points as is given on the graph as follows:

  x       y

  0      40

  1       50

  2      60

  3      80

  4      100

  5      120

  6      150

  7      190

  8      240

  9      300

  10     370

Hence, the rate of change from x=0 to x=1 is:

[tex]Rate=\dfrac{50-40}{1-0}\\\\\\Rate=\dfrac{10}{1}\\\\\\Rate=10[/tex]

Rate of change from x=3 to x=5 is:

[tex]Rate=\dfrac{120-80}{5-3}\\\\\\Rate=\dfrac{40}{2}\\\\\\Rate=20[/tex]

Hence, the rate is not constant.

Also we could see that with the increasing value of x the y-value also increases.

                  Hence, option: B is the correct answer.

Use the x-intercept method to find all real solutions of the equation.
x^2-9x^2+23x+15=0

Answers

Answer:

b.[tex]x=1,3,\:or\:5[/tex]

Step-by-step explanation:

The given equation is;

[tex]x^3-9x^2+23x-15=0[/tex]

To solve by the x-intercept method we need to graph the corresponding function using a graphing tool.

The corresponding function is

[tex]f(x)=x^3-9x^2+23x-15[/tex]

The solution to [tex]f(x)=x^3-9x^2+23x-15=0[/tex] is where the graph touches the x-axis.

We can see from the graph  that; the x-intercepts are;

(1,0),(3,0) and (5,0).

Therefore the real solutions are:

[tex]x=1,3,\:or\:5[/tex]

What percentage of the data values falls between the values of 3 and 24 in the data set shown?


What percentage of the data values falls between the values of 3 and 24 in the data set shown?



25%

50%

75%

100%

25%

50%

75%

100%

Answers

100%- you can see that the line in the middle goes from 3 to 24

Answer: 100%

Step-by-step explanation:

We are given a Box- plot, in which the minimum value is described by the left whisker is 3 and the maximum value is described by the right whisker is 24.

Since the range of all data values in a data is given from minimum value to the maximum value.

The percentage of the data values falls between the values of 3 and 24 in the data set shown = 100%

help please 100 points

Answers

2 time legal assistant = 900,000 x 2 = 1,800,000

school teacher = 1,850,000

Difference = 1,850,000 - 1,800,000 = $50,000

Master degree for 26 weeks = 1326 x 26 = 34,476

Associates degree for 42 weeks: 792 x 42 = 33,264

Difference = 34,476 - 33,264 = $1,212

For 20 years she earned: $900,000

Twice that would be $1,800,000

So for 30 years the schoolteacher earns the same amount.

Answer:

The difference between the school teacher and the legal assistant is $50,000. The school teacher earns about twice as much in thirty years. The next answer is $1,212.  

Step-by-step explanation:

The legal assistant makes $1,800,000 in 40 year. The school teacher in 30 years makes 1,850,000. 1,850,000 - 1,800,000= $50,000.

A person with the masters degree mages $34,476 in 26 weeks.The person with the Associates degree make $33,264 in 42 weeks.  

Solve the equation (linear equation)

[tex](\frac{16}{9}) ^{2x +5} =(\frac{3}{4})^{x-7}[/tex]

Answers

Answer: [tex]x=-\frac{3}{5}[/tex]

Step-by-step explanation:

By the negative exponent rule, you have that:

[tex](\frac{1}{a})^n=a^{-n}[/tex]

By the exponents properties, you know that:

[tex](m^n)^l=m^{(nl)}[/tex]

You can rewrite 16 and 9 as following:

16=4²

9=3²

Therefore, you can rewrite the left side of the equation has following:

[tex](\frac{4^2}{3^2})^{(2x+5)}=(\frac{3}{4})^{(x-7)}\\\\(\frac{3^2}{4^2})^{-(2x+5)}=(\frac{3}{4})^{(x-7)}\\\\(\frac{3}{4})^{-2(2x+5)}=(\frac{3}{4})^{(x-7)}[/tex]

 As the base are equal, then:

[tex]-2(2x+5)=x-7[/tex]

Solve for x:

[tex]-2(2x+5)=x-7\\-4x-10=x-7\\-4x-x=-7+10\\-5x=3\\x=-\frac{3}{5}[/tex]

The lengths of plate glass parts are measured to the nearest tenth of a millimeter. The lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.1, and continuing through 590.8. Determine the mean and variance of the lengths. (a) mean (in tenths of millimeters) Round your answer to two decimal places (e.g. 98.76). (b) variance (in tenths of millimeters2) Round your answer to three decimal places (e.g. 98.765). (a)

Answers

Answer:

A) μ = 590.45 mm; B) σ² = 0.053 mm

Step-by-step explanation:

To find the mean, we add together all of the values and divide by the number of data values:

590.1+590.2+590.3+590.4+590.5+590.6+590.7+590.8 = 4723.6

There are 8 data values; this gives us

4723.6/8 = 590.45

To find the variance, we subtract each of the data values from the mean.  We then square this difference, and find the mean of the squares:

590.1-590.45 = -0.35; (-0.35)² = 0.1225

590.2-590.45 = -0.25; (-0.25)² = 0.0625

590.3-590.45 = -0.15; (-0.15)² = 0.0225

590.4-590.45 = -0.05; (-0.05)² = 0.0025

590.5-590.45 = 0.05; (0.05)² = 0.0025

590.6-590.45 = 0.15; (0.15)² = 0.0225

590.7-590.45 = 0.25; (0.25)² = 0.0625

590.8-590.45 = 0.35; (0.35)² = 0.1225

(0.1225+0.0625+0.0225+0.0025+0.0025+0.0225+0.0625+0.1225)/8

= 0.42/8 = 0.0525 ≈ 0.053

(a) The mean of the glass parts rounded to nearest tenths of millimeters

= 590.45 and (b) Variance in tenths of millimeters is = 0.053 mm.

What is mode ?

In a given set of data one which repeats most frequently is called the mode of the given data set.

To obtain the mean we add together all of the values and divide by the number of data values.

590.1+590.2+590.3+590.4+590.5+590.6+590.7+590.8 = 4723.6

There are 8 data values; this gives us

4723.6/8 = 590.45

To find the variance, we subtract each of the data values from the mean and we square this difference to find the mean of the squares.

590.1-590.45 = -0.35; (-0.35)² = 0.1225

590.2-590.45 = -0.25; (-0.25)² = 0.0625

590.3-590.45 = -0.15; (-0.15)² = 0.0225

590.4-590.45 = -0.05; (-0.05)² = 0.0025

590.5-590.45 = 0.05; (0.05)² = 0.0025

590.6-590.45 = 0.15; (0.15)² = 0.0225

590.7-590.45 = 0.25; (0.25)² = 0.0625

590.8-590.45 = 0.35; (0.35)² = 0.1225

(0.1225+0.0625+0.0225+0.0025+0.0025+0.0225+0.0625+0.1225)/8

= 0.42/8 = 0.0525 and rounded to tenths of millimeters is 0.053

learn more about variance here :

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The height, f(x), of a bouncing ball after x bounces is represented by f(x) = 80(0.5)^x. How many times higher is the first bounce than the fourth bounce?


A.

2


B.

4


C.

6


D.

8

Answers

Answer:

D) 8

Step-by-step explanation:

Given function for height =  f(x) = 80(0.5)^x

It shows that the height of ball after any bounce can be calculated by putting bounce number in place of x in this equation.

so, height after first bounce f(1) is calculated by placing 1 in place of x

f(1) = 80(0.5)^1

f(1) = 80(0.5)

f(1) = 40

Similarly, the height after 4th bounce f(4)

f(4) = 80(0.5)^4

f(4) = 80(0.0625)

f(4) = 5  

Therefore, the height of 1st bounce is 40/5 = 8 times higher than the fourth bounce. So, option D is correct.

The first bounce is 8 times higher than the fourth bounce. Option D (8) is correct.

The height of the bouncing ball is given by the function f(x) = 80(0.5)^x, where x represents the number of bounces. To find how many times higher the first bounce is than the fourth bounce, we'll calculate the heights for f(1) and f(4) and then compare them.

Calculate the height after the first bounce (x = 1):
f(1) = 80(0.5)^1 = 80 * 0.5 = 40 metersCalculate the height after the fourth bounce (x = 4):
f(4) = 80(0.5)^4 = 80 * 0.0625 = 5 metersDetermine how many times higher the first bounce is compared to the fourth bounce:
Number of times higher = f(1) / f(4) = 40 / 5 = 8

Therefore, the first bounce is 8 times higher than the fourth bounce, corresponding to option D (8).

Find the value of the lesser root of x2 - 8x + 7 = 0.


A) -1


B) 1


C) 3


D) 5

Answers

Answer:

B) 1.

Step-by-step explanation:

x^2 - 8x + 7 = 0

(x - 1)(x - 7) = 0

x= 1, 7.

Answer:

x = 1

Step-by-step explanation:

Please express exponentiation using the symbol  " ^ "  :  x^2 - 8x + 7 = 0

Let's solve this equations using "completing the square:"

x^2 - 8x + 7 = 0

1) Identify the coefficient of the x term.  Here it's -8.

2) take half of that and square it:  we get (-4)² = 16

3) insert " +16 - 16 " between the 8x and the 7:

        x^2 - 8x +  16 - 16  +7 = 0

4)  Rewrite this perfect square:

          (x - 4)² - 16 + 7 = 0  ->   (x - 4)^2 = 9

5)  Solve for (x -4) by taking the square root of both sides:

           x - 4 ± sqrt(9)    ->  x - 4 ± 3

6)  Solve for x:  x = 4  ± 3, or x = 7 and x = 1.  

7)  Take the lesser root of 7 and 1.  That would be x = 1.  Answer B is correct.

Solve for x. -7/8x = -5

Answers

Answer:4.375 Maybe?

Step-by-step explanation:

Santos walks 2 kilometers south and then a certain number of kilometers east. He ends 5 kilometers away from his starting position.How many kilometers east did Santos walk?

Answers

Answer:

4.6 Or 4.60

Step-by-step explanation:

Like the other person said, 4.56. The question says "round to the nearest tenth" so 4.56 rounds to 4.60

Hope it helps~

Final answer:

To determine how many kilometers east Santos walked, we can use the Pythagorean theorem to find the distance traveled for each leg of the journey.

Explanation:

To determine how many kilometers east Santos walked, we need to use the Pythagorean theorem to find the distance traveled for each leg of the journey. Since he ends up 5 kilometers away from his starting position, we can form a right triangle with the hypotenuse representing the total distance walked.

Let's assume Santos walked x kilometers east. The other leg of the triangle represents the 2 kilometers south he walked. Using the Pythagorean theorem, we have x2 + 22 = 52.

This simplifies to x2 + 4 = 25. Subtracting 4 from both sides gives us x2 = 21. Taking the square root of both sides, we find that x ≈ 4.58. Therefore, Santos walked approximately 4.58 kilometers east.

Which of the following represents a geometric series (remember what a series is as opposed to a sequence)?

4, 12, 36, ...

4 + 12 + 36 + ...

4 + 12 + 20 + ...

4, 12, 20, ...

Answers

Answer:

4 + 12 + 36 + ...

Step-by-step explanation:

4, 12, 36, ... is a geometric sequence, it has a common ratio of [tex]r=\frac{36}{12}=\frac{12}{4}=3[/tex]

When we add the terms of a geometric sequence we get a geometric series.

4+12+36+ ... is a geometric series, it has a common ratio of [tex]r=\frac{36}{12}=\frac{12}{4}=3[/tex]

4 + 12 + 20 + ... is not a geometric series because it has no common ratio

[tex]\frac{20}{12}\ne \frac{12}{4}[/tex]

The second choice is correct

Select the correct answer from the drop-down menu.
Hector keep close tabs on his bank account. His account had a balance of -$22.80. The next day, he made a deposit of $56.60. His account balance changed to $.

Answers

Answer: $33.80

Step-by-step explanation: If Hector’s account was overdrawn by $22.80 and then he deposited $56.60 his balance would be $33.80

The formula to solve this is -22.80 + 56.60 = 33.80

Answer:

$33.80

Step-by-step explanation:

i did it on my test got it right

evaluate tangent ^-1 1

Answers

Answer:

  45° or π/4 radians

Step-by-step explanation:

You want the angle whose tangent is 1.

Arctangent

Your calculator can evaluate the inverse tangent function for you.

  arctan(1) = 45° = π/4 radians

Uncle Percy and the ratiolas are donating 75% of $84 where does the $84 fit in to proportion

Answers

Answer:

The answer in the procedure

Step-by-step explanation:

Let

x-----> amount corresponding to 75%

we know that

using proportion

[tex]\frac{100}{84}\frac{\%}{\$} =\frac{75}{x} \frac{\%}{\$}\\ \\ x=84*75/100\\ \\ x=\$63[/tex]

Evaluate the expression

Answers

Answer:

The answer is

D.16

Step-by-step explanation:

A rectangular price tag has an area of 36 square centimeters. Its perimeter is 26 centimeters. What are the dimensions of the price tag?

Answers

Final answer:

The dimensions of the price tag are 9 cm by 4 cm, which are found by solving two equations derived from the given area and perimeter.

Explanation:

The student is asking for the dimensions of a rectangular price tag that has an area of 36 square centimeters and a perimeter of 26 centimeters. To solve this, we need to use two formulas: one for area (A = length × width) and one for perimeter (P = 2 × (length + width)).

First, let's denote the length of the rectangle by l and the width by w. The given area, 36 cm2, implies that l × w = 36.

Second, we know the perimeter is 26 cm, which gives us the equation 2 × (l + w) = 26. Dividing both sides by 2, we get l + w = 13.

This system of equations can be solved using substitution or elimination. If we rearrange the perimeter equation to express one variable in terms of the other (for instance, w = 13 - l), we can then substitute this expression into the area equation. Solving for l and w afterwards will give us the required dimensions.

Through solving, we find that the dimensions of the rectangle are 9 cm by 4 cm, since 9 × 4 = 36 and 2(9 + 4) = 26.

Suppose the radius of a circle is 8\color{purple}{8} 8 start color purple, 8, end color purple units. What is its circumference?

Answers

The number [tex] \pi [/tex] is defined as the ratio between the circumference and the diameter of a circle. In other words, for every circle, we have

[tex]\pi=\dfrac{C}{d}=\dfrac{C}{2r}[/tex]

Since the diameter is twice the radius.

Solving for the circumference, we have

[tex]C=2\pi r[/tex]

So, in your case, the answer is

[tex]C=16\pi[/tex]

Answer:

50.24

Step-by-step explanation:

Formula = 2πr2 × 3.14 = 6.286.28 × r (8) = 50.24

What is m∠A ? Can someone help me

Answers

Answer:

38°

Step-by-step explanation:

The triangle solver app on your calculator, phone, or tablet can solve this for you readily. There are on-line triangle solvers, too.

___

For solution "by hand", the Law of Cosines is useful. It tells you ...

a^2 = b^2 + c^2 -2ab·cos(A)

Then the angle A can be found as ...

cos(A) = (b^2 +c^2 -a^2)/(2ab) = (3^2 +7^2 -5^2)/(2·3·7) = 33/42 = 11/14

A = arccos(11/14) ≈ 38°

_____

In formulas like the Law of Cosines or the Law of Sines, the uppercase letters stand for the measures of angles, and the lowercase letters stand for their opposite side lengths.

ow Important Is Regular Exercise? In a recent poll1 of 1000 American adults, the number saying that exercise is an important part of daily life was 753. Use StatKey or other technology to find a 90% confidence interval for the proportion of American adults who think exercise is an important part of daily life. Click here to access StatKey. Round your answer to three decimal places. The 90% confidence interval is Enter your answer; the 90% confidence interval, value 1 to Enter your answer; the 90% confidence interval, value 2 . 1Rasmussen Reports, "75% Say Exercise is Important in Daily Life," March 26, 2011. eTextbook and Media

Answers

Answer:

0.731 < p < 0.775

Step-by-step explanation:

We have a sample proportion of 753/1000 = 0.753

We need to construct a 90% confidence interval for the population proportion.  Since n > 30, we use the corresponding z-value of 1.645.  

See attached photo for the formulas and construction of the confidence interval.

Final answer:

The 90% confidence interval for the proportion of American adults who think exercise is an important part of daily life is 0.749 to 0.757.

Explanation:

To find the 90% confidence interval for the proportion of American adults who think exercise is an important part of daily life, we can use the formula for the confidence interval of a proportion. The formula is: CI = p ± Z * sqrt((p * (1-p))/n), where p is the sample proportion, Z is the z-score corresponding to the desired confidence level, and n is the sample size.

First, we need to calculate the sample proportion: p = 753/1000 = 0.753.

Next, we need to find the z-score for a 90% confidence level. Looking up the z-score in the standard normal distribution table, we find that the z-score for a 90% confidence level is approximately 1.645.

Now we can plug in the values into the formula: CI = 0.753 ± 1.645 * sqrt((0.753 * (1-0.753))/1000).

Calculating the expression inside the square root gives us approximately 0.0027. Plugging this value into the formula gives us the 90% confidence interval for the proportion: CI = 0.753 ± 1.645 * 0.0027.

Calculating this expression gives us the lower and upper bounds of the confidence interval: CI = 0.753 ± 0.0044.

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The difference of what number and 5 is 18?

Answers

Answer:

13

Step-by-step explanation:

18-5 = 13

X-5=18

Add 5 to both sides

X=23

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