Out of a sample of 94 purchases at the drive-up window of a fast-food establishment, 27 were made with a major credit card. Find a 98% confidence interval for the population proportion of purchases paid with a major credit card.

Answers

Answer 1

Answer:

The 98% confidence interval for the population proportion of purchases paid with a major credit card is (0.1786, 0.3958).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 94, \pi = \frac{27}{94} = 0.2872[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2872 - 2.327\sqrt{\frac{0.2872*0.7128}{94}} = 0.1786[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2872 + 2.327\sqrt{\frac{0.2872*0.7128}{94}} = 0.3958[/tex]

The 98% confidence interval for the population proportion of purchases paid with a major credit card is (0.1786, 0.3958).


Related Questions

100 points. Easy question.
Topic: Adding and Subtracting fractions.

ONLY DO QUESTION 8 NOT 9 AND 10

Answers

Answer:

17 1/8 km

Step-by-step explanation:

6 7/8 + 5 1/2 + 4 3/4

The common denominator is 8

6 7/8 already has a denominator of 8

5 1/2 = 5 1/2*4/4 = 5 4/8

4 3/4 *2/2 = 4 6/8

6 7/8 + 5 4/8 + 4 6/8

15 17/8

15 + 8/8+ 8/8+1/8

15 + 1 + 1 + 1/8

17 1/8

Answer:

[tex]\boxed{17\frac{1}{8} \ \sf{km}}[/tex]

Step-by-step explanation:

6 7/8 + 5 1/2 + 4 3/4

Turn to improper fractions.

55/8 + 11/2 + 19/4

Make denominator equal by LCM.

55/8 + 44/8 + 38/8

Add fractions because they have same denominators.

137/8

Turn to mixed fraction.

17 × 8 = 136   + 1

17 1/8

What is the distance between (2,4) and (5,-2)

Answers

Answer:

my answer is  3√ 5

Answer:

-3

Step-by-step explanation:

Here is the formula for this one: (x 2- x 1) + (y 2- y 1).

Hope this helps.

Stir-fry is Vince's favorite food to cook, but it always makes a lot of smoke! Vince needs to know the volume of his kitchen so he can buy a fan that is the right size. Vince's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of Vince's kitchen?

Answers

Answer:

The volume of Vince’s Kitchen is 680 cubic feet

Step-by-step explanation:

To calculate the volume of Vince’s kitchen, what is needed to be done is to multiply the area of the floor by the height of the kitchen

Mathematically Volume V of kitchen = area of kitchen floor * height of kitchen

From the question, the area of the kitchen floor = 85 square feet

Height of kitchen = 8 feet

Plugging these values to get the area of the Kitchen, we have;

V = 8 * 85 = 680 cubic feet

In the inequality, what are all the possible values of x?

−8x + 6 ≤ 2(−3x + 1)
A) x ≥ 2
B) x ≤ 2
C) x > 1/2
D) x < −1

Answers

Answer:

A

Step-by-step explanation:

-8*2+6≤2(-3*2+1)

= -10≤-10

Lilly saw a jellyfish at 6 feet below sea level.She saw a bright blue fish at 10 feet below sea level. What is the distance between the blue fish and the jellyfish

Answers

Answer:

Step-by-step explanation:

4 feet

Answer:

It would be 4 feet because 6-10 is 4 its really easy

Step-by-step explanation:

I hope i helped?

The Math Club wants to order t-shirts to recognize students who improved their performance in Algebra I for their hard work and effort. Hot Shirts charges $10 per shirt with a $15 set up charge. T-Shirt World charges $5 per shirt with a $50 set up charge.

Answers

Answer:

Cost of ordering t-shirts the same at both sides is 7

The cost is $85

Step-by-step explanation:

let x equal the number of tshirts

Hence:

15 + 10x = 50 + 5x

10x-5x= 50-15

5x = 35

35/5x

x = 7

Therefore the cost of ordering t-shirts the same at both sides is 7

The cost is $85

Write in slope-intercept form an equation of the line that passes through the given points. (2, 4), (3, 6) y=

Answers

Answer:

m=6-4/3-2=2/1=2

y-4=2(x-2)

y-4=2X-4

y=2X

A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse. Enter a number in the box to correctly complete the statement. Round the answer to the nearest tenth. The distance from the boat to Beachton is 16 point 9 km

Answers

Answer:

16.9 km

Step-by-step explanation:

From the diagram attached, we can see that the problem forms a triangle.

So, to find the distance(d) from the boat to Beachton , we can make use of Pythagoreas theorem.

Thus;

d² = 16.8² + 2.2²

d² = 282.24 + 4.84

d² = 287.08

d = √287.08

d = 16.9434

Approximating to the nearest tenth, we have;

d ≈ 16.9 km

Need help ASAP. WILL MARK BRAINLIEST

Answers

Answer:it is b2 I took the test

Step-by-step explanation:

Now mark me braunliest

Whitney is making a strawberry cake for her brother's birthday. The cake pan is a right rectangular prism cm20, wide by cm28, long. Whitney puts 1848 cm cubed of batter into the pan.

Answers

Answer:

3.3 cm

Step-by-step explanation:

Volume of a rectangular prism =Length X Width X Height

Volume of the cake batter [tex]=1848cm^3[/tex]

The cake pan is a right rectangular prism 20cm wide by 28cm long.

Therefore:

1848=20 X 28 X Depth

1848=560 X Depth

Depth=1848/560

Depth of the batter=3.3 cm

The batter is 3.3cm deep in the pan.

2. 2x - y = 6,
- x + y = -1

Answers

Answer:

x = 5

y = 4

Step-by-step explanation:

just substitute the value of one variable into the other

-x +y = -1

or y = -1 +x   <-------- (i just added x to the right side)

now u know what y is equal to, just substitute that value into the first equation

2x - (-1+x) = 6     <-------- instead of y, i put the value of y from the 2 equation

NOW SOLVE FOR X!

2x +1 -x = 6

x + 1 = 6

x = 5

now solve for y since you have the value of x

y = -1 + x

or y = -1 + 5

y = 4

Answer:

y=3.166     x=4.166

Step-by-step explanation:

Kobe’s birthday is in July and it is always hot. This year, he wants to have popsicles as a cool snack. If Kobe expects 90 people to be at the party, does it make more sense to buy 100 pack of popsicles or multiple 16-packs?

Answers

Answer:

100 pack

Step-by-step explanation:

Well first just calculate the cost. 16 * 6 = 96

1.75 * 6 = 10.5

100 popsicles is cheaper.

100 pack then just save the last 10

HELP PLZ 12+points
Select the correct answer from the drop-down menu.
Luther and Nelson are seniors on the school basketball team. The box plots represent the number of points they scored in 20 randomly selected games.

The number of points Nelson scores in each game is generally__?___ the number of points Luther scores in each game.

CHOICES FOR THE BLANK:
A)greater than
B)less than
C)the same as

Answers

Answer:

more than

Step-by-step explanation:

Answer: (A ) greater than

Step-by-step explanation:

The answer is greater than the number Of points Luther scores in each game

All you have to do is count the little lines and wherever the little end part of the line in box ends is the number of points he gets a game so Nelson is 24 points and Luther is 19 points.

If the original quantity is 10 and the new quantity is 13​, what is the percent​ increase?

Answers

Answer:

30%

Step-by-step explanation

13 is a 30% increase of 10.

Answer:

30% increase

Step-by-step explanation:

subtract original quantity from new quantity: 13 - 10 = 3

divide the difference by original quantity: 3/10 = 0.30

convert that result to percentage by moving decimal place over twice to the right.

You're done! Answer = 30%

Question 28
Let be an angle in quadrant such that.
Find the exact values of and.

Answers

Answer:

see explanation

Step-by-step explanation:

Since Θ is an angle in the third quadrant, then secΘ < 0 and tanΘ > 0

Using the identity

sec x = [tex]\frac{1}{cosx}[/tex] , then

cos x = - [tex]\sqrt{1-sin^2x}[/tex]

         = - [tex]\sqrt{1-(-3/5)^2}[/tex] = - [tex]\sqrt{1-\frac{9}{25} }[/tex] = - [tex]\sqrt{\frac{16}{25} }[/tex] = - [tex]\frac{4}{5}[/tex], thus

secΘ = [tex]\frac{1}{-\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex]

---------------------------

Using the identity

tan x = [tex]\frac{sinx}{cosx}[/tex] , then

tanΘ = [tex]\frac{-\frac{3}{5} }{-\frac{4}{5} }[/tex] = - [tex]\frac{3}{5}[/tex] × - [tex]\frac{5}{4}[/tex] = [tex]\frac{3}{4}[/tex]

The value of sec(x) is (5/4) and tan(x) will be (-3)(4).

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios.

The six trigonometric ratios are the source of all fundamental trigonometric identities.

The given value of sin (x) is ( -3 / 5 ). The values of sec(x) and tan(x) will be calculated as below:-

sec(x) = 1 / cos(x)

[tex]cosx = \sqrt{1-sin^2x}[/tex]

[tex]cosx = \sqrt{1-(\dfrac{-3}{5})^2}[/tex]

cos(x) = 4 / 5

sec(x) = 1 / ( 4 / 5 ) = ( 5/ 4)

The value of tan(x) will be calculated as:-

tan(x) = sin(x)/cos(x) = ( -3 / 5 ) / (4 / 5 )

tan(x) = (-3/4)

Therefore, the value of sec(x) is (5/4) and tan(x) will be (-3)(4).

To know more about Trigonometry follow

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Which of the following relations describes a function?
A.
{ (3, -1), (3, 1), (4, -1), (4, 1) }

B.
{ (-3, -4), (-4, -3), (3, 4), (4, 3) }

C.
{ (3, 3), (3, 4), (4, 3), (4, 4) }

D.
{ (0, 0), (0, 3), (3, 0), (3, 3) }

Answers

The answer is “B” because a function happens when one input has exactly one output, or if each x-value has one y-value

Answer:

B

Step-by-step explanation:

11=3x-4

x=....

thanks all​

Answers

Answer:

the value of x is 5 .

Step-by-step explanation:

In order to find the value of x, you have to move the unrelated terms to the other side by adding 4 to both sides :

[tex]11 = 3x - 4[/tex]

[tex]11 + 4 = 3x - 4 + 4[/tex]

[tex]15 = 3x[/tex]

Next, you have to divide it by 3 :

[tex]3x = 15[/tex]

[tex]x = 15 \div 3[/tex]

[tex]x = 5[/tex]

Answer:

the answer is attached to the picture

Step-by-step explanation:

hope this helps

A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 4 to 16, and the box ranges from 4 to 11. A line divides the box at 9.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 10. A line divides the box at 8.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 3 to 16, and the box ranges from 4 to 9. A line divides the box at 7.

Answers

Answer:A

Step-by-step explanation:

A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6. Option A is correct.

What is a box plot?

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value. Horizontal lines on both sides of the rectangle show the lower and upper quartiles.

Here,

The lower quartile (Q1) of the data set is 3, so the bottom of the box must start at 3.
The interquartile range (IQR) is 5, so the upper quartile (Q3) must be
Q1 + IQR = 3 + 5 = 8


The median (also called the first quartile) is halfway between Q1 and Q3, so it must be at (Q1 + Q3) / 2 = (3 + 8) / 2 = 6.

The whiskers extend to the minimum and maximum values within 1.5 * IQR of the box, so they must range from 2 to 15.

Learn more about box plots here:

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Divide -x^3-2x^2-2x+4 by x -3

Answers

Answer:

− x 2 − 5 x − 17 − 47 x − 3

Step-by-step explanation:

 Divide using polynomial division.

Polynomial :

An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.

PLZ HELP!! :)
You estimate that a lamb weighs 10 pounds. The actual weight of the lamb is 13 pounds. Find the percent error. Round your answer to the nearest hundredth of a percent.

Answers

Answer:

30%

Step-by-step explanation:

Seems as if that lamb was thiccccca than what you thought

What is the water shed

Answers

Answer:

Watershed is a drainage basin in a particular area where precipitation collects or stores and drains off in a river or bay etc.

hope it helps!

Answer: A watershed describes an area of land that contains a common set of streams and rivers that all drain into a single larger body of water, such as a larger river, a lake or an ocean.  the Mississippi River watershed is an enormous watershed.  Small watersheds are usually part of larger watersheds.

Find the slope of the line passing through the poin (- 3, 7) (2, - 6)

Answers

Answer:

[tex] \frac{13}{ - 5} [/tex]

Step-by-step explanation:

[tex] \frac{y1 - y2}{x1 - x2} \\ \frac{7 - ( - 6)}{ - 3 - 2} \\ \frac{7 + 6}{ - 5} \\ = \frac{13}{ - 5} [/tex]

Answer:

-2.6

Step-by-step explanation:

Slope or gradient is the ratio of the vertical (y axis) and horizontal distances (x axis) between two points on a line.

It should be noted that it is defined as zero if the line is horizontal, but undefined if it is vertical.

Given:

Coordinates (- 3, 7) (2, - 6)

y1 = 7, y2= -6, x1= -3, x2=2

Slope : ∆ y/ ∆ x

= (y2 - y1 )/ (x2 - x1)

= (-6 - (7))/ (2 - (-3))

= (-13)/(5) = -13:5= -2.6

what's 4.54 rounded to the nearest tenth?​

Answers

Answer:

4.5

Step-by-step explanation:

have a nice day :)

Answer:

4.5

Step-by-step explanation:

when rounding, if the previous number is over 5 you round up or if it's under 5, you stay the same. the tenths spot is the first after the decimal and the next number 4 so you would stay the same.

the quadratic function h(t}= -16.1t2+150

Answers

Answer:

Huh. I don't really see the question at hand.

Which rule describes the relationship between the x- and y- coordinates on line m?
Choose one answer:
A) y = x + 1
B) y = 2x + 1

Answers

Answer: My bad I don’t know how to teach it but it’s B

Hailey has 48 inches of ribbon. How many feet of ribbon does she have?

Answers

Conversion:

12 inches = 1 foot

Divide:

48 / 12 = 4

Therefore, Hailey has 4 feet of ribbon.

Best of Luck!

Answer: 4 foot of ribbon

Step-by-step explanation: there is 12 inches in one foot so this means to get the answer you must divide 48 by 12 to get 4 so 4 feet is the answer

hope this helps and mark me brainliest if it did hope you have a great day

i need help with this questions can someone please help me

Answers

Answer:

pupil question:

3 6 1

3 have brothers

6 have both

1 has sisters

Step-by-step explanation:

3+6+1+2=12

During a period of 30 seconds, a scuba diver changed her depth by –150 feet. Determine the average change in depth per second.

Answers

Answer:

I think it might be five feet

Step-by-step explanation:

I'm smart<3

The average change in depth is 5 feet/ second.

It is required to find the average change in depth per second.

What is slope?

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

[tex](x_{1} ,y_{1} )=(0,0)\\\\(x_{2} ,y_{2} )=(30,150)\\\\[/tex]

Scuba diver's rate of change

[tex]m=\frac{150-0}{30-0} \\\\m=5[/tex]feet/sec.

Therefore, the average change in depth is 5 feet/ second.

Learn more about slope here:

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Suzanne folded 12 towels. If Allison folded 4 times as many towels as Suzanne, which number sentence shows how many towels Allison folded? A. 12 × 12 = 144 B. 4 × 12 = 48 C. 4 × 4 = 16 D. 12 + 4 = 16

Answers

Answer:

B

Step-by-step explanation:

Let's use S for Suzanne

A for Allison

S= 12

4s = A

4 x 12 =48

Find the slope between:
(4, -1)
(-2,4)

Answers

Answer:

-5

----

6

Step-by-step explanation:

y2-y1

-------

x2-x1

-1-4 -5

------ = ---

4--2 6

~Anna

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