A random sample of 35 used car lots found that the average price of a used car is $11.750. Assume the population standard deviation is $1.225. Using a 98% confidence level, calculate the following: Critical Value 2.33 O 1.645 1.96 1.28 D Question

Answer: 8800

Step-by-step explanation:

Rounds down because 42 is less than 50

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

When 750 minutes is being converted to weeks, the number of weeks would be= 0.074 week.

To convert the number of given minutes to weeks to following is carried out using the provided parameters.

First convert to hours, that is;

60mins = 1 hour

750 mins = X hour

make X the subject of formula;

X = 750/60 = 12.5 hours

Secondly convert to days;

24 hours = 1 day

12.5 hours = y days

make y the subject of formula;

y = 12.5/24 = 0.52 day

But 1 week = 7 days

X week = 0.52 day

X = 0.52/7 = 0.074week.

Learn more about hours conversation here:

https://brainly.com/question/31562466

#SPJ1

Answer: A

Step-by-step explanation:

In a cylinder A=2πrh+2πr^2.  Plugging in the values of the problem gives you about 489.8

All the angle measures are;

m∠A = 160°

m∠B  = 142°

m∠C = 120°

m∠D  = 156°

m∠E = 31°

m∠F = 111°

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

Given:

Mr. Smith is putting a brick border around his irregularly shaped yard.

Before installing the border,

he must cut the bricks to fit the angles of the garden.

There are 6 sides to the polygon.

The total sum of the irregular angle = (4 - 2) x 180° = 720°.

So,

7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720°.

28x = 720 - 48

x = 24

Now, all the measures are:

m∠A = 7x - 8 = 160°

m∠B = 4x + 46 = 142°

m∠C = 5x = 120°

m∠D = 6x + 12 = 156°

m∠E = x + 7 = 31°

m∠F = 5x - 9 = 111°

Therefore, all the measures are given above.

To learn more about the interior angles;

brainly.com/question/10638383

#SPJ1

Answer:

14

Step-by-step explanation:

164 = 8x + 52

Subtract 52 from both sides

112 = 8x

Divide both sides by 8

14 = x

Answer:

34 inches

Step-by-step explanation :

54/360 X 20

Answer:

4.164 cm

Step-by-step explanation:

Given that:

Growth of an average human fingernail = 3.47 mm per month

One mm (millimeter) = 0.1 cm (centimeter)

To find:

Growth of an average human fingernail in one year = ?

Solution:

Here, we are given the growth for one month.

There are 12 months in an year, so growth over an year can be found by adding the growth of one month for 12 times.

Growth in one year = 3.47 mm + 3.47 mm+ ..... 12 times

Growth in one year = 12 \times 3.47 mm = 41.64 mm

In millimeters, the growth of an average human fingernail = 41.64 mm

Let us convert it into centimeters by multiplying it with 0.1.

Therefore growth in centimeters = 41.64 mm \(\times\) 0.1  = 4.164 cm

Grams per cubic centimeter to kilograms per cubic meter is 1000.

1 g/cm³ = 1000 kg/m³

The conversion value:

1 gram = 1/1000 kg

1 cm³ = 1/1000000 m³

Find the conversion from grams per cubic centimeter to kilograms per cubic meter!

Grams per cubic centimeter = g/cm³

Kilograms per cubic meter = kg/m³

Multiply the number with the each conversion value!

See that the cubic centimeter is as a denominator. So, we reverse the fractional value.

1 g/cm³

= 1 × 1/1000 × 1000000/1 kg/m³

= 1000 kg/m³

Hence, the conversion value from grams per cubic centimeter to kilograms per cubic meter is 1000.

Learn more about mass conversion here:

brainly.com/question/25691364

#SPJ4

Answer:

$80 interest will be owed for 4 months

Step-by-step explanation:

P is the principal amount, $4000.00.

r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.

t is the time involved, 3....month(s) time periods.

Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.

So, t is 0.25....year time periods.

To find the simple interest, we multiply 4000 × 0.08 × 0.25 to get that

Answer:

31.4 yards

Step-by-step explanation:

Formula for circumference is C = π*d

10*3.14

31.4 yards

Hope this helps!

Answer:

\( \sf C = 31.4 \: yards\)

Step-by-step explanation:

The formula to find the circumference of a circle is :

\( \sf \: C = \pi \: d\)

Here,

d --> Diameter ---> 10 yards

Let us find it now.

\(\sf \: C = \pi \: d \\ \sf \: C = 3.14 \: \times 10 \\ \sf \: C = 31.4 \: yards\)

Answer:

Step-by-step explanation:

Among the following, the population mean u = (upper confidence limit) + (lower confidence limit) is not derived from the confidence interval.

A confidence interval is defined as the range of values that we observe in our samples and for which  we expect to find the value that accurately reflects the population.

In frequentist statistic, a confidence interval is a range of estimates for an unknown parameter.    

To find a confidence level for a data set by taking half of the size of the confidence interval, multiplying it by the square root of the sample size and then dividing by the sample standard deviation.

Confidence level refers to the percentage of probability,or certainty, that the confidence interval would contain the true population parameter when you draw a random sample many times. The most common confidence levels are 90%, 95% and 99%.

To know more about confidence interval here

https://brainly.com/question/22424026

#SPJ4

(C) A parabola is the best representation of the situation that a second-degree polynomial regression equation would be used to mimic.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.

It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

A parabola can be described using a point and a line.

The situation that a second-degree polynomial regression equation would be used to simulate is best described by a parabola.

The phrase "parabolic move" originated as trader jargon.

It describes when a stock experiences an increase in price that resembles the right side of a parabolic curve: A parabolic move happens when the stock's price rises at an exponentially faster rate.

Therefore,(C) a parabola is the best representation of the situation that a second-degree polynomial regression equation would be used to mimic.

Know more about a Parabola here:

https://brainly.com/question/4061870

#SPJ4

Answer:

Step-by-step explanation:

la recta:

\(y-yo=m(x-xo)\) (*)

P=(xo,yo)

\(m=\frac{Ya-Yb}{Xa-Xb}\)

substituindo:

\(m=\frac{3-7}{1-3}\\\\m=2\)

Seja P=A=(xo=1,yo=3), utilizando a formula (*)

\(y-3=2(x-1)\\y=2x-2+3\\y=2x+1\)

Answer:

es 4.3

Step-by-step explanation:

por que dividir 10.75 entre 2.5 da 4.3

Answer:

7/10

Step-by-step explanation:

20 balls.

10 even, 10 odd.

4 numbers less than 5.

That is 14/20 --> 7/10

Most likely.

Probability that the ​number on the ball drawn will be even or less than 5

= 3/5

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Given,

Total no. of balls = 20

All balls are numbered with numbered 1 through 20.

Balls with even numbers or less than five:

1, 2, 3, 4, 6, 8, 10, 12, 14, 16, 18, 20

No. of balls with even numbers and less than five = 12

Probability that the ​number on the ball drawn will be even or less than 5 = No. of balls with even numbers or less than five/Total balls

                  = 12/20

Probability = 3/5

Hence, 3/5 is the probability that the ​number on the ball drawn will be even or less than 5.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ5

Answer:

y = 2x + 4

Step-by-step explanation:

y = mx+b

m represents the slope, and b is the y-intercept

The slope is 2 as it's going up 2 unit squares each time, and the b is 4 because that's where the y-axis gets intercepted.

so the answer is y = 2x + 4

Answer:

Hii have a another app thatcan helpyouu can download mathscanner hope ithelps

Answer:

3. 125

4. 115

5. m<1 = 70, m<2 = 55, m<3 = 55

6. m<2 = 50, m<3 = 50, m<4 = 80, m<6 = 130

The linear program has an optimal solution of 28.5 at (A, B) = (2, 5) when the right-hand side for constraint 1 is 10. If the right-hand side is increased to 11, the optimal solution remains 28.5 at the same point.

The dual value for constraint 1 stays the same as long as the right-hand side stays within the range 8.4 to 11. The value of the optimal solution will increase by 0.5 for every unit increase in the right-hand side of constraint 2 as long as the right-hand side is within the range 23 to 27.

a) To find the new optimal solution, we need to graph the feasible region and find the new corner points. After the change, the first constraint becomes 1A + 1B ≤ 11. The other two constraints remain the same. The corner points can be found by substituting the bounds of each variable into the constraints and solving for the other variable. The feasible region can then be graphed, and the maximum of the objective function can be found at one of the corner points.

The new corner points are (0,0), (0,9), (6,0), and (2,5). The feasible region can be graphed as a triangle with these corner points. The maximum of the objective function 3A + 2B occurs at the point (2,5), where the value of the objective function is 28.5.

b) The value of the objective function at the optimal solution is 28.5, at (A, B) = (2, 5).

c) The right-hand side range information for constraint 1 tells us that if the right-hand side is increased from 10 to 11, the dual value will remain the same (since the allowable increase is 2.6 and the right-hand side only increases by 1). The range for constraint 1 is 8.4 to 11. As long as the right-hand side stays within this range, the dual value of 2.6 is applicable.

d) The dual value for constraint 2 is 0.5. Using this dual value and the right-hand side range information, we can conclude that the value of the optimal solution will increase by 0.5 for every unit increase in the right-hand side of constraint 2 as long as the right-hand side is within the range 23 to 27.

Learn more about linear programming problems here: brainly.com/question/29405467

#SPJ4

Complete question:

Consider the following linear program.

Max 3A + 2B s.t.

1A + 1B ≤ 10

3A + 1B ≤ 27

1A + 2B ≤ 18

A, B ≥ 0

The value of the optimal solution is 28.5. Suppose that the right-hand side for constraint 1 is increased from 10 to 11.

(a) Use the graphical solution procedure to find the new optimal solution.

What is the value of the objective function at the optimal solution?

(blank) at (A, B) =

Use the solution to part (a) to determine the dual value for constraint 1.

(c) The computer solution for the linear program provides the following right-hand side range information

. Constraint RHS Value Allowable Increase Allowable Decrease

1 10.00000 2.60000 1.00000

2 27.00000 3.00000 13.00000

3 18.00000 Infinite 6.50000

What does the right-hand side range information for constraint 1 tell you about the dual value for constraint 1?

The range for constraint 1 is (blank) to (blank) . As long as the right-hand side stays (within/outside) this range, the dual value of (blank) is applicable.

(d) The dual value for constraint 2 is 0.5. Using this dual value and the right-hand side range information in part (c), what conclusion can be drawn about the effect of changes to the right-hand side of constraint 2?

The value of the optimal solution will increase by (blank) for every unit increase in the right-hand side of constraint 2 as long as the right-hand side is (within/outside) the range (blank) to (blank).

Answer:

x = 2y + 6

Step-by-step explanation:

-x + 2y = -6

-x = -6 - 2y

x= 6 + 2y

x = 2y + 6

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:

30

Step-by-step explanation:

2x+5x= 105

7x= 105

x= 105/7

x= 15

First part= 2x= 2(15)= 30

Answer:

The answer is D

Step-by-step explanation:

I just took the quiz

Answer:

The answer would be the 4th option

Step-by-step explanation:

Different lampshades that could be used together are A) 5.

How to determine the value of any factorial value?
The factorial function (symbol:!) instructs us to multiply all whole numbers starting at the number we have chosen down to one.

Examples:

4! = 4 × 3 × 2 × 1 = 24

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

according to the question,  five lamp bases and four lampshades that could be used together. so the calculation will be 5C4

using factorial,

Hence, 5 different arrangements of base and shade can be offered together. (using factorial)

to learn more about factorial from the given link,
https://brainly.com/question/25997932
#SPJ4

Answer:

I agree with both of them because they are both correct

Step-by-step explanation:

See attachment for complete question;

Slope (m) is calculated using the following formula:

\(m = \frac{Rise}{Run}\)

Where

\(Rise = Vertical\ Distance\)

\(Run = Horizontal\ Distance\)

From the attachment, we have the following:

Triangle A

\(Rise = 6\ units\)

\(Run = 4\ units\)

So:

\(m = \frac{Rise}{Run}\)

\(m = \frac{6}{4}\)

In this case, Mai is correct:

Triangle B

\(Rise = 1.5\ units\)

\(Run = 1\ units\)

So:

\(m = \frac{Rise}{Run}\)

\(m = \frac{1.5}{1}\)

\(m = 1.5\)

In this case, Elena is also correct:

There are 17,576,000 different license plates possible if a plate consists of three digits followed by three letters.

To calculate the number of different license plates possible, we need to consider the number of options for each character position.

For the three-digit part, there are 10 options for each digit (0-9). Therefore, there are 10 × 10 × 10 = 1,000 different possibilities for the three digits.

For the three-letter part, assuming we have an alphabet with 26 letters (A-Z), there are 26 options for each letter. Therefore, there are 26 × 26 × 26 = 17,576 different possibilities for the three letters.

To find the total number of different license plates, we multiply the possibilities for the digits and the possibilities for the letters together:

1,000 (possibilities for the digits) × 17,576 (possibilities for the letters) = 17,576,000.

So, there are 17,576,000 different license plates possible if a plate consists of three digits followed by three letters.

Learn more about number here:

https://brainly.com/question/24908711

#SPJ11