PCC Business students would like to know how much the average customer at Bank of America has in their savings account.Since they cannot get that information from the bank, they camped outside the location on Colorado Blvd and asked every customer as they left the branch.They collected the following information from the customers.$649 $867 $961 $764 $958 $1,054 $1,166 $652 $1,125 $1,254 $649 $568 $667 $1,152 $641 $856 $966 $783 $859 $985 $762 $1,159. a) Develop a 98% confidence interval for the population mean 0.02 b) What range of pages will 99.7 percent of all the prints from a print cartridge fall into? c) What range of savings amount will 99.7 percent of all the customers fall into?d. Is it reasonable to state that the average customer saves $900? 

We can be 98% that the margin of error is given as follows:

2.35 centimeters.

We have the standard deviation for the sample, hence the t-distribution is used for this problem.

The equation for the margin of error, using the t-distribution, is given as follows:

\(M = t\frac{s}{\sqrt{n}}\)

The parameters are given as follows:

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 50 - 1 = 49 df, is t = 2.4049.

The remaining parameters, the sample size and the standard deviation for the sample, have values given as follows:

n = 50, s = 6.9.

Hence the margin of error is given as follows:

M = 2.4049 x 6.9/square root(50) = 2.35 centimeters.

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Answer:

b. -2 and 2

I'm not sure about answer...

Answer:

2 and -2

Step-by-step explanation:

pretty much its asking when y = 4 what does x equal and if you look at the graph when y = 4 x = 2 and -2

Answer:

½ *(p+1)(q+1)(r+1)

Step-by-step explanation:

step 1-where a ,b,c are prime numbers and the p,q,r are natural numbers as their respective powers. step 2 -Find Number of factors which can be expressed as( p+1)(q+1)(r+1). step 3-Number of ways to express the number as a product of two numbers is exactly half its number of factors i.e.½ *(p+1)(q+1)(r+1).

You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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For the first loan, the final payment is $1,576.25. For the second loan, the final payment is $0. The calculations consider the given interest rates and compounding periods.



To determine the final payment for the first loan, we need to calculate the accumulated value of the loan after six years. For the first year, interest is compounded quarterly at a rate of 10% per annum. The accumulated value after one year is $10,000 * (1 + 0.10/4)^(4*1) = $10,000 * (1 + 0.025)^4 = $10,000 * 1.1038125.For the next three years, interest is compounded semi-annually at a rate of 8% per annum. The accumulated value after four years is $10,000 * (1 + 0.08/2)^(2*4) = $10,000 * (1 + 0.04)^8 = $10,000 * 1.3604877.

Finally, for the remaining two years, interest is compounded annually at a rate of 7.5% per annum. The accumulated value after six years is $10,000 * (1 + 0.075)^2 = $10,000 * 1.157625.To find the final payment, we subtract the payments made so far ($5,000 and $6,000) from the accumulated value after six years: $10,000 * 1.157625 - $5,000 - $6,000 = $1,576.25.For the second loan, we calculate the accumulated value after six years using the given interest rates and compounding periods for each period. The accumulated value after two years is $5,000 * (1 + 0.09/4)^(4*2) = $5,000 * (1 + 0.0225)^8 = $5,000 * 1.208646.

The accumulated value after four years is $5,000 * (1 + 0.10/12)^(12*2) = $5,000 * (1 + 0.0083333)^24 = $5,000 * 1.221494.Finally, the accumulated value after six years is $5,000 * (1 + 0.10)^2 = $5,000 * 1.21.To find the final payment, we subtract the payments made so far ($2,500 and $2,500) from the accumulated value after six years: $5,000 * 1.21 - $2,500 - $2,500 = $0.

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Answer:

Number of rats : Food weight = 1 : 5

Step-by-step explanation:

Number of rats in the group = 9

Weight of food carried away by them = 45 kg

Ratio of the number of rats and food weight = \(\frac{\text{Number of rats}}{\text{Weight of food carried by the rats}}\)

                                                                          = \(\frac{9}{45}\)

                                                                          = \(\frac{1\times 9}{5\times 9}\)

                                                                          = \(\frac{1}{5}\)

Therefore, Number of rats : Food weight = 1 : 5

Answer:

Step-by-step explanation:

answer:

x= 124/27

y= 104/27

z= -26/27

Step-by-step explanation:

To solve the system, rewrite it as two systems each consisting of two

\(\left \{ {{x+4y=20} \atop {x+5y+4z=20}} \right.\)

\(\left \{ {{x+5y+4z=20} \atop {2x-2y+3z=-6}} \right.\)

solve the system

-y-4z=0

7y+z=26

y= 104/27

z= -26/27

substitute the given value of y into the equation x+4y=20

x+4*104/27=20

x= 124/27

Answer:

the correct answer to this equation is: 124/27

Answer:336,000

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

-y = -3x + 4

y = 3x - 4

slope 3 y-intercept 4

For a sample of 64 low-income children, the estimate of the true mean complexity score is 7.64

Parameter refers to the mathematical quantity calculated using population while statistics refers to the mathematical quantity calculated using sample.

Given, the sample mean of 64 children is 7.64 and the estimated population parameter value is equal to its statistics. So, here the estimated value of the mean sentence complexity score is equal to its sample mean value which is 7.64

So, an estimate of the true mean is sample mean=\(\bar x\)=7.64

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The complete question is given below:

Each child in a sample of 64 low-income children was administered a language and communication exam. The sentence complexity scores had a mean of 7.64 and a standard deviation of 8.94. Complete parts a through d. a. From the sample, estimate the true mean sentence complexity score of all low-income children.

Answer:

volume = (length × Width × height)

(567/2) = (9×) × (17/4) × (w)

283.5 = 38.25w

w= 7.41inches

As of today, the team has played seven games, and "the team" has won them all.

This statement indicates that the team, whose specific name or identity is not provided, has achieved a perfect winning record by emerging victorious in all seven games they have participated in. The emphasis is on the collective success of the team rather than attributing the wins to any particular individual or naming the team itself. The phrase "has won them all" highlights the team's unbeaten streak and implies their dominance in the competition.

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Explanation

as we can see in the picture, after drawing the angles, we can observe the common angles is

I hope this helps you

Answer:

y = 35x + 20

Step-by-step explanation:

See attached graph.

we sum up the expected payouts: $0.38 + $0.23 + $0.29 = $0.90. Therefore, the expected value of the game is $0.90.

To calculate the expected value, we need to consider the probabilities of each outcome and their corresponding payouts. Assuming a standard deck of 52 cards, there are 4 aces and 13 clubs in the deck.

The probability of drawing an ace is 4/52, as there are 4 aces out of 52 cards. Therefore, the expected payout for drawing an ace is (4/52) * $5 = $0.38.

The probability of drawing a club (excluding the ace of clubs) is 12/52, as there are 13 clubs minus the ace of clubs. The expected payout for drawing a club is (12/52) * $1 = $0.23.

The probability of drawing the ace of clubs is 1/52. The expected payout for drawing the ace of clubs is (1/52) * $15 = $0.29 ($5 for the ace + $10 extra).

To find the overall expected value, we sum up the expected payouts: $0.38 + $0.23 + $0.29 = $0.90. Therefore, the expected value of the game is $0.90.

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The number of tons loaded on a truck is an example of a continuous random variable.

In probability theory and statistics, random variables can be classified as either discrete or continuous. A discrete random variable takes on a countable set of possible values, such as the number of children in a family. On the other hand, a continuous random variable can take on any value within a certain range, often representing measurements or quantities.

In the case of the number of tons loaded on a truck, it can be any non-negative value within a certain range, including fractions or decimals. Since the weight can vary continuously, it falls under the category of a continuous random variable. Continuous random variables are typically described using probability density functions, such as the normal distribution or the exponential distribution, to model the likelihood of different values occurring.



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Answer:

This is a function

Step-by-step explanation:

Answer:

it would be see explanation

Step-by-step explanation:

The n th term of a geometric sequence is

= a

where a is the first term and r the common ratio

Both a and r have to be found

Given a₃ = - 2, then

ar² = - 2 → (1)

Given a₇ = - 32, then

a = - 32 → (2)

Divide (2) by (1)

= , that is

= 16 ( take the fourth root of both sides )

r = 2 ← common ratio

Substitute r = 2 into (1)

a × 2² = - 2, that is

4a = - 2 ( divide both sides by 4 )

a = -  ← first term

. easy

Hence

= -  ← explicit formula

and

= -  ×  = - 0.5 × 512 = - 256

Step-by-step explanation:

The probability that a randomly chosen college student exercises in the morning or afternoon is 0.76

We have given that the M be the event that the student exercises in the morning and A be the event that the student exercises in the afternoon.

To find : The probability that a randomly chosen college student exercises in the morning or afternoon

P(M) = 0.25+0.37 = 0.62

P(A) = 0.14+0.37 = 0.51

P(M and A) = 0.37

Now,

P(M or A) = P(M) + P(A) - P(M and A)

                = 0.62 + 0.51 - 0.37

                = 0.76

Hence, Option last 0.76 is the correct choice.

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This week 41 students showed up to the archery class that cannot be broken into multiple groups of equal sizes.

Prime numbers are numbers that cannot be divisible by any other numbers besides 1 and itself. Between 30 and 50, there are 4 prime numbers, which are 31, 37, 41, and 43. So, these prime numbers cannot be divided into equal sizes of multiple groups. But by adding 2 (If Betty and Wilma join the students) in 31, 37, and 43 we get composite numbers that can be divided into multiple groups of equal sizes.

So, 41 students showed up to the archery class this week and as 41 is a prime number, Betty and Wilma could not break the archers up into groups of equal size, and even if Betty and Wilma joined the students there will be 43 archers which even is a prime number and thus cannot be divided.

41 is the only possible number of students between 30 and 50 which cannot be broken into groups of equal sizes even if Betty and Wilma join the archers.

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Answer:

Step-by-step explanation:

28.57% profit.

You're welcome.

<3

Answer:

Step-by-step explanation:

28.57%

round off to

28.6%

Answer:

3 0 -7 4

Step-by-step explanation:

you figure this out by looking at where you know the x or y value is and you find the line at that coordinate and then you look at where the other value is (x or y)

an equation of the plane is:

(2z+6)x + (3x-2z-21)y + (-2x-3y+8)z - 13 = 0

To find an equation of the plane, we need a point and a normal vector.

The line x = 4 - t, y = 2t - 1, z = -3t is contained in the plane, so we can choose a point on the line as our point in the plane. Let's take t = 0, so x = 4, y = -1, z = 0. Therefore, the point (4, -1, 0) is in the plane.

To find a normal vector, we can take the cross product of two vectors that are in the plane. One vector is the direction vector of the line, which is <1, 2, -3>. Another vector can be found by subtracting the given point from a general point in the plane. Let's choose the point (x, y, z). Then a vector from (3, 5, -1) to (x, y, z) is <x-3, y-5, z+1>. So another vector in the plane is <x-3, y-5, z+1> - <4, -1, 0> = <x-7, y-4, z+1>.

Taking the cross product of these two vectors, we get:

<1, 2, -3> x <x-7, y-4, z+1> = <2z+6, 3x-2z-21, -2x-3y+8>

This is a normal vector to the plane. Therefore, an equation of the plane is:

(2z+6)x + (3x-2z-21)y + (-2x-3y+8)z + d = 0

where d is a constant. To find d, we can plug in the coordinates of the given point:

(2(-1)+6)(3) + (3(4)-2(-1)-21)(5) + (-2(4)-3(-1)+8)(-1) + d = 0

Solving for d, we get d = -13.

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The equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

What is function?

For the parent function f(x) and a constant k >0,

then, the function given by  

g(x) = kf(x) can be sketched by vertically stretching f(x) by a factor of k if k>1 (or)

if 0 < k < 1 , then it is vertically shrinking f(x) by a factor of k

As per the given statement that the graph of f(x) is stretched vertically by a factor of 3 i.e

k = 3 >1

so, by definition

g(x) = 3 f(x) = 3 . 8(3)ˣ

= 8(3)ˣ⁺¹

= 24 (3)ˣ

Hence, the equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

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Answer:

6.02x10^8

Step-by-step explanation:

9514 1404 393

Answer:

  -1.317

Step-by-step explanation:

  \(\log_5{15}=x+3 \qquad\text{given}\\\\ \dfrac{\log{15}}{\log{5}}=x+3 \qquad\text{change of base formula}\\\\x=\dfrac{\log{15}}{\log{5}}-3 \qquad\text{subtract 3}\\\\x\approx\dfrac{1.17609}{0.69897}-3\approx 1.683 -3\\\\ \boxed{x\approx -1.317}\)

Answer:

-1.317

Step-by-step explanation:

Edge 2020

Answer:

Step-by-step explanation:

You want the dimensions of a barn wall that is 6 ft longer than twice its width, and has an area of 108 ft².

If the width is w, then the length is (2w+6). The area is the product of these dimensions:

  A = LW

  108 = (2w +6)(w)

Dividing by 2, we have ...

  w² +3w = 54

We can complete the square by adding (3/2)² = 2.25 to both sides:

  w² +3w +2.25 = 56.25

  (w +1.5)² = 56.25

Taking the positive square root gives ...

  w + 1.5 = 7.5

  w = 6 . . . . . . . . . subtract 1.5

  (2w +6) = 2·6 +6 = 18

The length of the wall is 18 ft; the width is 6 ft.