Complete Question
In a study of the accuracy of fast food? drive-through orders, Restaurant A had 249 accurate orders and 80 that were not accurate.
a. Construct a 90?% confidence interval estimate of the percentage of orders that are not accurate.
b. Compare the results from part? (a) to this 90?% confidence interval for the percentage of orders that are not accurate at Restaurant? B: 0.164< p <0.239. What do you? conclude?
Choose the correct answer below.
A. Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.
B. The lower confidence limit of the interval for Restaurant B is higher than the lower confidence limit of the interval for Restaurant A and the upper confidence limit of the interval for Restaurant B is also higher than the upper confidence limit of the interval for Restaurant A. Therefore, Restaurant B has a significantly higher percentage of orders that are not accurate.
C. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.
D. Since the upper confidence limit of the interval for Restaurant B is higher than both the lower and upper confidence limits of the interval for Restaurant? A, this indicates that Restaurant B has a significantly higher percentage of orders that are not accurate.
Answer:
a
The 90?% confidence interval is [tex]0.2041 < p < 0.282[/tex]
b
Option A is the correct option
Step-by-step explanation:
From the question we are told that
The sample size is n = 249+80 = 329
The number that are not accurate is k = 80
Generally the sample proportion of orders that are not accurate is mathematically evaluated as
[tex]\r p = \frac{ 80 }{329}[/tex]
[tex]\r p = 0.243[/tex]
Given that the confidence level is 90% then the level of significance is mathematically evaluated as
[tex]\alpha = 100 -90[/tex]
[tex]\alpha = 10\%[/tex]
[tex]\alpha = 0.10[/tex]
Next we obtain the critical value of [tex]\frac{ \alpha }{2}[/tex] from the normal distribution table, the value is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\r p (1- \r p )}{n} }[/tex]
=> [tex]E = 1.645* \sqrt{ \frac{0.243 (1- 0.243 )}{329} }[/tex]
=> [tex]E = 0.0389[/tex]
Generally the 90% confidence interval is mathematically represented as
[tex]\r p -E < p < \r p +E[/tex]
=> [tex]0.2041 < p < 0.282[/tex]
Comparing the two 90% confidence of restaurant A and B we see that they overlap and Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.
Which table represents a linear function?
Answer:
a
Step-by-step explanation:
How do I find the vertex of -3x^2+6x+17
Answer:
By either graphing or completing the square
Step-by-step explanation:
The fastest way to find the vertex is to graph the equation and trace the graph to your vertex to find your point.
Alternatively, you can complete the square to get form f(x) = a(bx - h)² + k (vertex form) and find your vertex (-h, k).
Cheryl bought 3.4 pounds of coffee that cost $6.95 per pound . How many did she spend on coffee
Answer:
23.63
Step-by-step explanation:
multiply the cost by the pounds
Answer:
$23.63
Step-by-step explanation:
3.4 X 6.95 = 23.63
Please answer this correctly
Answer:
12.5%
Step-by-step explanation:
There is only 1 seven card from the 8 total cards.
1 out of 8.
1/8 = 0.125
P(7) = 12.5%
Answer:
12.5%
Step-by-step explanation:
Total Cards = 8
Number 7 = 1
P(7) = 1/8
In %age:
=> 12.5%
what's 3 - 3 x 6 + 2
Answer:
-13
Step-by-step explanation:
Find the area of the figure. Round to the nearest tenth if necessary. Use 3.14 for . 47.3 units2 41.1 units2 57.1 units2 66.2 units2
Answer:
41.1 units²
Step-by-step explanation:
The given figure is composed of a semicircle and a triangle.
The diameter of the circle = the base of the triangle = the distance between point D and point F on the x-axis.
Therefore,
Diameter (d) of circle = 8 units
Radius of circle = [tex] \frac{diameter}{2} = \frac{8}{2} [/tex]
[tex] radius (r) = 2 [/tex]
Base of triangle = 8 units
The height of the triangle = the perpendicular distance between point E and segment DF on the y-axis
Height of triangle = 4 units
=>Area of the figure = area of triangle + area of semicircle
Area of figure = [tex] \frac{1}{2}bh + \frac{1}{2}*pie*r^2[/tex]
[tex] = \frac{1}{2}*8*4 + \frac{1}{2}*3.14*4^2[/tex]
[tex] = \frac{1}{2}*32 + \frac{1}{2}*50.24[/tex]
[tex] = 16 + 25.12 [/tex]
[tex] = 41.12 [/tex]
Area of the figure = 41.1 units² (to the nearest tenth)
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5). What is the x-coordinate of the y-intercept? –4 0 4 5
Answer:
sorry for such a late answer but the correct option is the second table
Step-by-step explanation:
none needed
Answer: It is the second option 0
Step-by-step explanation: Because I took that test and got it right
The perimeter of a rectangular painting is 310 centimeters. If the width of the painting is 56 centim
Answer:
The length is 99 cm
Step-by-step explanation:
The perimeter of a rectangle is
P = 2 (l+w)
310 = 2( l+56)
Divide each side by 2
310/2 = 2/2( l+56)
155 = l+56
Subtract 56
155-56 = l+56-56
99 = l
Answer:
99 centimeters
Step-by-step explanation:
Use formula for perimeter of a rectangle.
P = 2l + 2w
310 = 2l + 2(56)
Solve for l.
310 - 2(56) = 2l
310 - 112 = 2l
198 = 2l
99 = l
What is the value of x?
2
3
6
7
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
Using the property of two secants segments to a circle, we have that:
[tex]EB * EA = EC * ED[/tex]
[tex](x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)[/tex]
[tex](x + 1)(x + 12) = (x + 4)(x + 5)[/tex]
[tex]x^2 + 13x + 12 = x^2 + 9x + 20[/tex]
[tex]13x + 12 =9x + 20[/tex]
[tex]13x - 9x = 20 - 12[/tex]
[tex]4x = 8[/tex]
[tex]x = 2[/tex]
So the value of x is 2
Answer:
A: 2
Step-by-step explanation: edg
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be
Complete Question:
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 99% confident that the sample percentage is within 3.5 percentage points of the true population percentage.
Answer:
1,355 air passengers must be surveyed
Step-by-step explanation:
Note that the population proportion is not stated in the question, it will be assumed to be 50%. i.e. p = o.5
Error Margin, E = 3.5% = 0.035
Confidence Level, CL = 90% = 0.99
Therefore, Significance Level, [tex]\alpha = 0.01[/tex]
At [tex]\alpha = 0.01[/tex], [tex]Z_{crit} = Z_{\alpha/2} = Z_{0.005} = 2.576[/tex]
The number of randomly selected air passengers that must be surveyed:
This is the sample size and is given by the equation:
[tex]n = \frac{(Z_{\alpha/2})^2 p(1-p)}{E^2} \\n = \frac{2.576^2 * 0.5 *(1-0.5)}{0.035^2}\\n = 1354.24\\n = 1355[/tex]
Of the last 100 customers entering a computer shop, 25 have purchased a computer. If the relative frequency method for computing probability is used, the probability that the next customer will purchase a computer is
Answer: 0.25
Step-by-step explanation:
The relative frequency of the customers that buy computers is equal to the number of customers that bought a computer divided the total number of customers that entered the shop.
p = 25/100 = 0.25
If we take this as the probability, then the probability that the next customer that enters the shop buys a computer is 0.25 or 25%
Lance is selling strawberries at his local farmer’s market. He sells 4 pounds of strawberries for $10 and 8 pounds of strawberries for $20. Which equation represents this situation? A. y= 2.5x B. y=2x C. y= 2.5/x D. y= 2/x
The answer is y=2.5x
Answer:
A. [tex]y = 2.5\cdot x[/tex]
Step-by-step explanation:
Let be [tex]x[/tex] the sold amount of strawberries, measured in pounds, and [tex]y[/tex] the amount of money acquired due to sales, measured in monetary units. According to the statement of the problem, there is a direct proportionality between [tex]x[/tex] and [tex]y[/tex]. That is:
[tex]y\propto x[/tex]
[tex]y = k\cdot x[/tex]
Where [tex]k[/tex] is the proportionality factor, measured in monetary units per pound. This factor is now deducted and tested: ([tex]x = 4\,lb[/tex], [tex]y = \$\,10[/tex])
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{\$\,10}{4\,lb}[/tex]
[tex]k = 2.5\,\frac{\$}{lb}[/tex]
The proposed formula is [tex]y = 2.5\cdot x[/tex], and then, let consider that [tex]x = 8\,lb[/tex], the the amount of money acquired due to sales is:
[tex]y = 2.5\cdot (8\,lb)[/tex]
[tex]y = \$\,20[/tex]
Which coincides with the relationship described in the statement of problem. Finally, the right answer is A.
Answer:
y = 2.5x
Step-by-step explanation:
Just did it on Edmentum and got it right
5% of adults participate in at least 30 minutes of exercise each day. How likely is it that a randomly chosen adult will exercise 30 minutes each day?
Answer:
5 out of 100 adults so not very likely
0.05 or 5% likely that a randomly chosen adult will exercise 30 minutes each day.
What is Probability?Probability is the possibility of occurrence of a particular event.
In other word, Probability is the ratio of number of favorable incident under an event to the Total number of incident under that event.
[tex]\text{Probability}=\frac{\text{Number of Favorable Cases}}{\text{Number of Total cases}}[/tex]
In this problem it is given that 5% of adults participate in at least 30 minutes of exercise each day.
Then it implies 5 adults out of total 100 adults participate in at least 30 minutes of exercise each day.
Here the event is that one adult exercises 30 minutes each day.
Number of adults in favor is 5
Number of total adults is 100
Probability that one randomly chosen adult will exercise 30 minutes each day is [tex]=\frac{5}{100}=0.05[/tex]
Hence 0.05 or 5% likely that a randomly chosen adult will exercise 30 minutes each day.
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ial
What should be her first step?
isolating the constant 1
adding 4 to both sides of the equation
O isolating the second term, -4x
O adding 1 to both sides of the equation
Answer:
Fiona is completing the square to solve the polynomial equation.
x2 – 4x + 1 = 0
What should be her first step?
CORRECT--->>> 1) isolating the constant 1
2) adding 4 to both sides of the equation
3) isolating the second term, –4x
4) adding 1 to both sides of the equation
Step-by-step explanation:
EDGE 2021
The correct first step is to add 7 on both sides of the equation.
Option B is the correct answer.
We have,
To solve the equation 3x - 7 = 8, the first step is to add 7 on both sides of the equation.
We can also solve the equation as:
3x - 7 = 8
Adding 7 on both sides.
3x - 7 + 7 = 8 + 7
3x = 15
Dividing 3 on both sides.
x = 15/3
x = 5
Therefore,
The correct first step is to add 7 on both sides of the equation.
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The complete question:
Solve the equation 3x - 7 = 8.
What should be your first step?
O Isolating the constant term, -7
O Adding 7 to both sides of the equation.
O Isolating the second term, 3x.
O Subtracting 8 from both sides of the equation.
There are two different clocks in Wendy's house, one is 20 minutes faster in a day, and the other is 30 minutes slower in a day. If they are set to be the correct time now, how many days later will they both show the correct time?
Answer:
The answer is below
Step-by-step explanation:
For the first clock that is 20 minutes faster in a day, that means it is [tex]\frac{20\ min}{60\ min/hr}=\frac{1}{3}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours faster.
Since 1 day = 1/3 hr faster
x days = 24 hr faster
Let x number of days be required to be 24 hr faster. To find x we use the formula:
[tex]x=\frac{24 \ hr* 1\ day}{\frac{1}{3}hr } \\x=72\ days[/tex]
For the second clock that is 30 minutes slower in a day, that means it is [tex]\frac{30\ min}{60\ min/hr}=\frac{1}{2}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours slower.
Since 1 day = 1/2 hr slower
y days = 24 hr faster
Let x number of days be required to be 24 hr slower. To find x we use the formula:
[tex]y=\frac{24 \ hr* 1\ day}{\frac{1}{2}hr } \\y=48\ days[/tex]
A survey of 1272 pre-owned vehicle shoppers found that 8% bought the extended warranties. What is the population and what is the sample
Answer: 102 people and the sample is people with pre-owner vehicles.
Step-by-step explanation:
Please help me I will mark BRAINLIEST THANK YOUUUUU
Answer:
33%
Step-by-step explanation:
The multiples of 3 are 3,6,9,12
Sum is 6+14+12+1 = 33
The total is 3+6+8+11+14+16+15+12+9+5+1=100
The experimental probability is number of multiples of 3 over the total
33/100 = 33%
Each interior angle of a regular polygon is 160°. How many sides has it?
Answer:
18 sides
Step-by-step explanation:
Given the interior angle of a regular polygon, we can find that the exterior angles are (180°-interior°). And the number of sides of the polygon times the exterior angles must equal 360°. So we can write:
(180-160)°•(n)=360°
(20°)•(n)=360°
n=(360/20)°
n=18 sides
Find the missing side to the nearest tenth.
Answer:
So C is root 39 I meant and B is 399.99
Step-by-step explanation:
I am correct because of Pythagorean theorem, ok so these are correct!
Answer:
Step-by-step explanation:
1. opp=5,adj=4,hypotenuse=c
[tex]c^{2} =5^{2} +4^{2} \\c^{2} =25+16\\c^{2} =41\\c=\sqrt{41} \\c=6.4\\2.opp=25,hyp=25,adj=b\\hyp^{2} =opp^{2} +adj^{2} \\25^{2} =15^{2} +b^{2} \\625=225+b^{2} \\625 - 225 =b^{2} \\400=b^{2} \\b=\sqrt{400} \\b=20.0[/tex]
Help!!! I don’t understand how to do this
Answer:
[tex]f^{(k)}(x)=\dfrac{17k!(-1)^k}{(x-9)^{k+1}}[/tex]
Step-by-step explanation:
The question presumes you have access to a computer algebra system. The one I have access to provided the output in the attachment. The list at the bottom is the list of the first four derivatives of f(x).
__
The derivatives alternate signs, so (-1)^k will be a factor.
The numerators start at 17 and increase by increasing factors: 2, 3, 4, indicating k! will be a factor.
The denominators have a degree that is k+1.
Putting these observations together, we can write an expression for the k-th derivative of f(x):
[tex]\boxed{f^{(k)}(x)=\dfrac{17k!(-1)^k}{(x-9)^{k+1}}}[/tex]
With Obesity on the rise, a Doctor wants to see if there is a linear relationship between the Age and Weight and estimating a person's Systolic Blood Pressure. Using the Estimated Regression equation, Estimate Systolic BP when some if 39 years old and they weigh 143 pound.
A. 114.785.
B. 115.532.
C. 122.471.
D. 112.569
Systolic BP Age in Yrs. Weight in lbs.
132 52
143 59 184
153 67 194
162 73 168
154 64 196
168 74 220
137 54 188
149 61 188
159 65 207
128 46 167
166 72 217
135 52 187
148 61 161
148 61 189
161 65 205
126 45 161
167 75 215
Answer:
112.569 ( D )
Step-by-step explanation:
Applying the estimated Regression Equation
y = b1X1 + b2X2 + a
b1 = ((SPX1Y)*(SSX2)-(SPX1X2)*(SPX2Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 596494.5/635355.88 = 0.93884
b2 = ((SPX2Y)*(SSX1)-(SPX1X2)*(SPX1Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 196481.5/635355.88 = 0.30925
a = MY - b1MX1 - b2MX2 = 149.25 - (0.94*61.31) - (0.31*193.88) = 31.73252
y = 0.939X1 + 0.309X2 + 31.733
For x1 ( age ) =39, and x2(weight) =143
y = (0.93884*39) + (0.30925*143) + 31.73252= 112.569
where
Sum of X1 = 981
Sum of X2 = 3102
Sum of Y = 2388
Mean X1 = 61.3125
Mean X2 = 193.875
Mean Y = 149.25
attached is the Tabular calculation of the required values needed for estimated regression equation
A 4-ft-high and 7-ft-wide rectangular plate is submerged vertically in water so that the top is 1 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Recall that the weight density of water is 62.5 lb/ft3).
Total depth of the bottom of the plate is 4 + 1 = 5
Force = limit(5,1) 62.5 *7* x * dx
= 437.5. Lim(5,1) x*dx
= 437.5(x^2/2)^5 , 1
= 437.5 x (5^2/2 - 1/2)
= 437.5 x 12
= 5,250 pounds
The hydrostatic force against one side of the plate will be 5250 pounds.
What is hydrostatic force?The force exerted by the water of surface is known as hydrostatic force.
A 4-ft-high and 7-ft-wide rectangular plate is submerged vertically in water so that the top is 1 ft below the surface.
[tex]\rm Force = \int^5_1 62.5 *7* x * dx\\\\\\ Force = 437.5 \left [ \dfrac{x^2}{2} \right]^5_1\\\\\\Force = 218.75 \left [ x^2 \right]^5_1\\\\[/tex]
Solve the equation further, we have
Force = 218.75 x (5² – 1²)
Force = 218.75 x 24
Force = 5,250 pounds
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2. 3 tacos cost $18.
Complete the table to show the cost of 4, 5, and 6 tacos at the same rate.
Number of tacos
Cost in dollars
6
b. How did you find your answer?
Answer:
$24, $30, $36
Step-by-step explanation:
First we need to find the unit rate.
1. 18÷3 = 6
So that means one taco costs $6.
6*4 = 24
6*5 = 30
6*6 = 36
The cost of 4 taco is $24, 5 taco is $30 and 6 taco is $36.
What is unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
3 tacos cost $18.
Cost of 1 taco= 18/ 3
= $6
So, cost of 4 taco = 4 x 6 = $24
and, cost of 5 taco = 5 x 6= $30
and, cost of 6 taco = 6x 6= $36
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The average number of spectators at a football competition for the first five days was 3,144.The attendance on the sixth day was 3,990.find the total attendance on the first five days
Answer:
Add 3, 144
+3,990
And you wil get your answer
7, 134
500
475
450
- ODX Group, Inc
-NAMSEK
-A&D
400
425
Peer Comms Ltd.
350
350
300
300
250
275
Value of 100 shares in $
250
200
200
175
175
150
150
175
150
125
100
150
-100
100
100
125
125
50
25
0
Year 1
Year 2
Year 3
Year 4
Year 5
How much would it cost to buy 100 shares in ODX Group, Inc. and 300 shares in
Peer Comms Ltd, in Year 5?
Options
(A)350 (B)375 (C)725 (D)750 (E)775
Answer:
(E)775
Step-by-step explanation:
From the attached graph
In Year 5
100 shares in ODX Group, Inc. was worth $175100 shares in Peer Comms Ltd was worth $200Therefore the Cost of 100 shares in ODX Group, Inc. and 300 shares in Peer Comms Ltd, in Year 5
=175+3(200)
=175+600
=$775
The correct option is E.
You want to buy a $200000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest. A. How much is the loan amount going to be?
B. What will your monthly payments be if the interest rate 5%?
C. What will your monthly payments be if the interest rate is 6%?
Answer:
A = 20,000
Step-by-step explanation:
200,000 ÷ 10 = 20,000
The loan amount going to be for a home that cost $200000 home. You plan to pay 10% as a down payment and take out a 30-year loan for the rest is $180000.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The cost of the house, C = $200000,
The time = 30 years,
If the down payment is 10% then the remaining amount,
Down payment amount, D = 10% of 2000000 = $20000
Remaining amount = C - D
Remaining amount = $200000 - $20000 = $180000,
Therefore, the loan amount is $180000.
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List all possible rational zeros are given by the rational zeros theorem (but don't check to see which actually are zeros). (enter your answers as a comma-separated list.)
p(x)=x3−7x2+19
Answer:
All possible rational zeros are given by the rational zeros theorem are 1, -1, 19 and -19.
Step-by-step explanation:
The rational zeros theorem indicates that for a polynomial
f (x) = aₙxⁿ + aₙ₋₁xⁿ⁻ + ⋯ + a₂x² + a₁x + a₀
where aₙ, aₙ₋₁, ⋯ a₀ are integers, the rational roots can be determined from of the factors of aₙ and a₀.
Being p divisor of the independent term a₀ and q divisor of the coefficient principal aₙ, then all rational factors or possible rational roots will take the form of [tex]\frac{p}{q}[/tex]
In the case of p(x)=x³ -7x² +19, aₙ=1 and a₀=19
So:
Dividers of the independent term (19): p=±1,±19
Divisors of the main coefficient (1): q=±1
Being the possible roots of the polynomial: [tex]\frac{p}{q}=[/tex]±1, ±19
All possible rational zeros are given by the rational zeros theorem are 1, -1, 19 and -19.
You want to order carpet for an area in your house. The room measures 12 feet by 10 feet. Remember, Area = Length × Width. If each square yard of carpet costs $30.25, how much will the carpet cost you? Use your answer from the previous question to answer this question.
Answer:
402.9 $
Step-by-step explanation:
first you must turn foot into yards "every 3 foot = 1 yard"
3.33 , 4
then we will use the area=length x width formula
3.33 x 4 = 13.32 square yards
the cost of the carpet is
13.32 x 30.25 = 402.9$
Suppose 27 cars start at a car race. In how many ways can the top 3 cars finish the race?
The number of different top three finishes possible for this race of 27 cars is
(Use integers for any number in the expression.)
Answer:
2925
Step-by-step explanation:
27 choose 3
(27!) / (24!3!)
the 24! cancels leaving the numerator with 27 x 26 x 25
(27 x 26 x 25) / (3 x 2 x 1)
Canceling out we get
9 x 13 x 25 which works out to be
2925!
Answer:
What expression? Anyways it is 17,550 different ways.
simplify. -4(2x-v) + (-6v+5x)
Answer:
-2v - 3x
Step-by-step explanation:
-4(2x-v) + (-6v+5x)
Expand.
-8x + 4v - 6v + 5x
Add or subtract like terms.
-6v + 4v - 8x + 5x
-2v - 3x
Answer: -2v-3x
Step-by-step explanation: