Problem 1, Chips Ahoy [3 points]
In 1998, as an advertising campaign, the Nabisco Company announced a “1000 Chips
Challenge,” claiming that every 18-ounce bag of their Chips Ahoy! cookies contained at
least 1000 chocolate chips. Dedicated statistics students at the Air Force Academy (no
kidding) purchased some randomly selected bags of cookies and counted the chocolate
chips. Some of their data are given below.
1219 1214 1087 1200 1419 1121 1325 1345
1244 1258 1356 1132 1191 1270 1295 1135
(a) Check the assumptions and conditions for inference. Comment on any concerns you
have.
(b) Create a 90% confidence interval for the average number of chips in bags of Chips
Ahoy! cookies.
(c) What does this confidence interval say about Nabisco’s claim?
Problem 2, Populations and samples [4 points]
Conditions For each situation described below, identify the population and the sample,
explain what p and pb represent, and tell whether the methods of this chapter can be
used to create a confidence interval.
(a) Police set up an auto checkpoint at which drivers are stopped and their cars in-
spected for safety problems. They find that 13 of the 131 cars stopped have at least
one safety violation. They want to estimate the percentage of all cars that may be
unsafe.
(b) A TV talk show asks viewers to register their opinions on prayer in schools by logging
on to a website. Of the 598 people who voted, 481 favored prayer in schools. We
want to estimate the level of support among the general public.
(c) A school is considering requiring students to wear uniforms. The PTA surveys
parent opinion by sending a questionnaire home with all 1255 students; 390 surveys
are returned, with 238 families in favor of the change.
(d) A college admits 1650 freshmen one year, and four years later, 1375 of them graduate
on time. The college wants to estimate the percentage of all their freshman enrollees
who graduate on time.

Problem 3, Internet orders [5 points]
A catalog sales company promises to deliver orders placed on the Internet within 3 days.
Follow-up calls to a few randomly selected customers show that a 95% confidence interval
for the proportion of all orders that arrive on time is 86% ± 6%. What does this mean?
Are these conclusions correct? Explain.
(a) Between 80% and 92% of all orders arrive on time.
(b) Ninety-five percent of all random samples of customers will show that 86% of orders
arrive on time.

(c) Ninety-five percent of all random samples of customers will show that 80% to 92%
of orders arrive on time.
(d) We are 95% sure that between 80% and 92% of the orders placed by the sampled
customers arrived on time.
(e) On 95% of the days, between 80% and 92% of the orders will arrive on time.
Problem 4, Confidence interval statements [4 points]
Several factors are involved in the creation of a confidence interval. Among them are
the sample size, the level of confidence, and the margin of error. Which statements are
true?
(a) For a given sample size, higher confidence means a smaller margin of error.
(b) For a specified confidence level, larger samples provide smaller margins of error.
(c) For a fixed margin of error, larger samples provide greater confidence.
(d) For a given confidence level, halving the margin of error requires a sample twice as
large.
Problem 5, Direct advertising [4 points]
Direct mail advertisers send solicitations (a.k.a. “junk mail”) to thousands of potential
customers in the hope that some will buy the company’s product. The acceptance rate
is usually quite low. Suppose a company wants to test the response to a new flyer, and
sends it to 1024 people randomly selected from their mailing list of over 200,000 people.
They get orders from 130 of the recipients.
(a) Create a 90% confidence interval for the percentage of people the company contacts
who may buy something.
(b) Explain what this interval means.
(c) Explain what “90% confidence” means.
(d) The company must decide whether to now do a mass mailing. The mailing won’t
be cost-effective unless it produces at least a 5% return. What does your confidence
interval suggest? Explain
Problem 6, Automobile emissions [2 points]
A state’s environmental agency worries that many cars may be violating clean air emis-
sions standards. The agency hopes to check a sample of vehicles in order to estimate
that percentage with a margin of error of 3% and 90% confidence. To gauge the size of
the problem, the agency first picks 70 cars and finds 8 with faulty emissions systems.
How many should be sampled for a full investigation?

For $22.69 dollars I can ride the scooter for 179 minutes.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A scooter ride has a starting fee of $3 and then 11 cents per mile.

Assuming with $22.69 I can ride x no. of minutes.

∴ 0.11x + 3 = 22.69.

0.11x = 19.69.

x = 19.69/0.11.

x = 179 minutes.

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Answer:

P(B) = 0.20

Step-by-step explanation:

If A and B are events with P(A)=0.5, P(A OR B)=0.54, and P(A AND B)=0.16, find P(B).

Provide your answer below:

We are given two events A and B and the formula for the probability of two events is given as:

P ( A ∪ B) = P(A ) + P( B ) - P( A∩ B)

Where:

P(A)=0.5

P ( A ∪ B) = P(A OR B)=0.54

P( A∩ B) = P(A AND B)=0.16

P(B) = ??

Hence, we have:

0.54 = 0.5 + P(B) - 0.16

Making P(B) subject of the formula

P(B) = 0.54 - 0.5 + 0.16

P(B) = 0.20

Answer: She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2

Step-by-step explanation:

Answer:

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

Step-by-step explanation:

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

can i have a photo, please?

Step-by-step explanation:

The slope of the line that passes through the points (0, -6) and (0, -5)is undefined.

Slope is line's inclination with regard to the horizontal is quantified numerically. In analytical geometry, a line, ray, or line segment's slope is the ratio of the vertical to horizontal distance between any two points on the line, ray, or line segment ("slope equals rise over run").

In differential calculus, the derivative of a function yields the slope of a line tangent to its graph, which represents the function's instantaneous rate of change with respect to changes in the independent variable.

Ok so slope is the change in y over change in x.

Your why changed from 6 to -5 so you can write this as -5 - 6

Your x didn’t change it went from 0 to 0

You can write this as 0-0

Now -11/0 is what you end up with as a slope.

Any number divided by 0 is undefined so your slope is undefined.

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The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

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Answer:

7x-y=-30

Step-by-step explanation:

The slope of any parallel equation has to have the same slope, so our equation will be in the format of y=7x+b

No you have to use this to solve for b

2 = -4*7+b

2=-28+b

30 = b

So our equation would be y = 7x+30

Now to convert into standard form we would have to put it intto the format of Ax + By = C

so -7x+y = 30

7x - y = -30

Answer:

An hour and 45 minutes

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The number of hours the battery will last if it loses 3/8 of its battery every hour is 1 hour 40.2 minutes.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

The battery charge left in the phone = 5/8 of its battery

The battery loses every hour = 3/8 of its battery

The number of hours the battery will last if it loses 3/8 of its battery every hour:

= 5/8 ÷3/8

= 5/8 x 8/3

= 5/3

= 1.67 hours

This means,

1 hour = 60 minutes

Multiply 1.67 on both sides.

1.67 hours = 1.67 x 60 minutes

1.67 hours = 100.2 minutes

1.67 hours = 1 hour 40.2 minutes

Thus,

The number of hours the battery will last if it loses 3/8 of its battery every hour is 1 hour 40.2 minutes.

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The only possible value of "a" that satisfies the given equations is a = 5.

The possible values of "a" that satisfy the given equations, let's solve the system of equations:

a + ab = 250 ---(1)

a - ab = -240 ---(2)

We can solve this system by using the method of substitution. Rearranging equation (2), we get:

a = ab - 240 ---(3)

Substituting equation (3) into equation (1), we have:

(ab - 240) + ab = 250

2ab - 240 = 250

2ab = 250 + 240

2ab = 490

ab = 490/2

ab = 245

Now we have the value of "ab."

We can substitute this back into equation (3) to solve for "a":

a = (245) - 240

a = 5

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Answer:

26

Step-by-step explanation:

This is the answer because:

1) Whenever there is an even number set, the formula for the median is

(x + x)/2

2) In this case, we have to take the two middle numbers, which is 24 and 28.

3) We have to add them: 24 + 28 is 52

4) Finally, we have to divide 52 by 2 which is 26

Hope this helps! :D

The median is the middle value of an entire data set. The median of the list of data​ 11, 13, 24, 28, 30, and 47 ​is 26.

The median is the middle value of an entire data set. If the number of data points(observations) in the set is odd then the middle value is the median but, for an even number of observations, the median is calculated by finding the means for the two middle data points.

The median of the data set is the mid-value of the given set when the data is arranged in increasing order.

Median = (24+28)/2 = 26

Hence, the median of the list of data​ 11, 13, 24, 28, 30, and 47 ​is 26.

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Answer:

mark me as brainliest please

1112

Step-by-step explanation:

1550-350=1200

1200-88=1112

The solution set to inequality |x + 2| > 2 is equal to x < - 4 or x > 0, whose interval notation is x ∈ (- 4, 0).

In this problem we find the definition of the following inequality, whose solution set must be found:

|x + 2| > 2

First, use the definition of absolute value to eliminate bars:

x + 2 < - 2 or x + 2 > 2

Second, clear x on each expression:

x < - 4 or x > 0

Third, write the solution set in interval notation:

x ∈ (- 4, 0)

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Answer:

answer is 251.5

Mark as branliest if helped a bit

The net present value of the project of the company Alpha Industries is $494,918.

Given,

The initial cost of the project = $7.9 million

Cost of debt = 5.58 percent

Cost of equity = 11.25 percent

The debt-equity ratio= .59

Tax rate = 40 percent.

Let us assume

Equity be $x, then

Total = $1.59x

Respective weights =  Pretax cost of debt × (1 - tax rate)

=5.58% × (1 - 0.4)

Respective weights = 3.348%

WACC = Respective costs × Respective weights

WACC = (x ÷ 1.59x × 11.25%) + (0.59x ÷ 1.59x × 3.348)

WACC = 8.318%

The present value of annuity = Annuity × (1 - (1 + interest rate)^ - time period] ÷ Rate

=1.63 × [1 - (1.08317811321)^-7]÷ 0.08317811321

= $1.63 × 5.150256501

The present value of annuity = $8,394,918.10

The net present value = The present value of  cash inflows - The present value of cash outflows

= $8,394,918.10 - $7,900,000

The net present value of the the project = $494,918

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Answer:

$50.54

Step-by-step explanation:

Answer:

if f(x)=2x+1 then insert 6 in x

f(6)=2*6+1

f(6)=13

so the answer is 13

The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

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Looking at the diagram of the triangular prism and its net, we can see that

a = width of the base = 5 cm

b = the slant height = 13 cm

c = length of the base = 15 cm

The y-coordinate of the point on the line when x = 8 is -1

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

Slope, m = 1/2

Point, (x1, y1) = (2, -4)

The linear equation is calculated as

y = m(x - x1) + y1

So, we have

y = 1/2(x - 2) - 4

When x = 8, we have

y = 1/2(8 - 2) - 4

Evaluate

y = -1

Hence, the y-coordinate of the point on the line when x = 8 is -1

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21(x+1)=21x+21?

3*6x=18x

Candy spends £2.65, has 2/3 left and Candy has £7.95 money to start with.

Given that Candy spends £2.65 and has 2/3 of the initial amount left, we are required to find how much money Candy has to start with.

Solution:Let the initial amount of money Candy has be x.

Then, the amount of money spent by Candy = £2.65

Amount of money left with Candy = 2/3 of the initial amount

∴ Money left = 2/3 × x

Amount of money spent + money left = initial amount of money

Candy spends £2.65:2/3 of the initial amount left

= £ (x - 2.65)∴ 2/3 × x

= x - 2.65⇒ 2x/3

= x - 2.65⇒ 2x

= 3x - 7.95⇒ 3x - 2x

= 7.95⇒ x = 7.95

Hence, Candy has £7.95 to start with.

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Answer:

- 14x +3

Step-by-step explanation:

hope this helps u. : )

Answer:

18. 4/12

Step-by-step explanation

1/6 x 6/3 = 6/18= 1/3

1/3 x 4/4 = 4/12

Answer:

First Answer: 5.5

Second Answer: 12

Step-by-step explanation: Hope this helps

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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Answer:

linear

Step-by-step explanation:

this is a linear function!

linear functions follow y = mx+b, where m is the slope and b is the y-intercept

let's write our y = mx+b equation

for each value that x increases, y increases by DOUBLE that amount. slope is y/x, so since y increases by 2 and x increases by 1, the slope is 2/1 which is 2.

the y-intercept is where the line passes the x axis, or when x is 0. in this table, it gives you your y-intercept, which is -6

your equation is y=2x+(-6); which simplified to y=2x-6

if you plug in the y and x values, you'll get the same thing. i hope this helped!

To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.

Let's assume the number of months is represented by 'x'.

For Club A, the total cost is given by:

Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)

For Club B, the total cost is given by:

Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)

To find the number of months when the total cost is the same, we set the two equations equal to each other:

$13 + $28x = $19 + $27x

Simplifying the equation, we get:

$28x - $27x = $19 - $13

$x = 6

Therefore, after 6 months, the total cost of each health club will be the same.

To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:

Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181

Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181

So, the total cost for both Club A and Club B will be $181 after 6 months.

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