A group of finance managers at a car dealership estimates thatt 23% of all cars purchased last year were leases.If a sample of 800 cars sold last year obtained, what is the that more than 208 cars are going to be leased? Draw and label the appropriate curve. Your work must include caculator commands

Answers

Answer 1

Answer:

p = 0.52392

Step-by-step explanation:

Here we have

p = 23% = 0.23

[tex]\hat p[/tex] = 208/800 = 0.26

n = 800

q = 1-p = 0.77

α = 5% = 0.05

Here we have

Z test given by

[tex]z=\frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}[/tex]

From which we have

From the Cpdf we have Probability = 0.0219, z = 2.016

Therefore from the z score = 0.0683, p = 0.52392 from z table.


Related Questions

what is 90 percent of 69?

Answers

Answer:

62.1

Step-by-step explanation:

90 percent means there are 90 parts from all 100 parts

90/100 × 69 = 62.1

Answer:

62.1

Step-by-step explanation:

I dont really have an explanation. sorry :(

Jada traveled 135 miles in 3 hours.Andre traveled 228 miles in 6 hours.Both jada and Andre traveled at a constant speed

Answers

Answer:

(a) 45 miles

(b) 38 miles

(c) Jada travels faster than Andre.

Step-by-step explanation:

(a) First we calculate the speed at which Jada travelled:

[tex]Speed = \frac{distance}{time} \\\\\\s = \frac{d}{t}[/tex]

[tex]s = \frac{135}{3} \\\\\\s = 45 miles/hour[/tex]

Since Jada travels at constant speed throughout the journey, we can calculate the distance traveled in 1 hour:

[tex]distance = speed * time\\\\\\distance = 45 * 1[/tex]

distance = 45 miles

Jada travels 45 miles in 1 hour.

(b) We calculate the speed at which Andre travelled:

[tex]Speed = \frac{distance}{time} \\\\\\s = \frac{d}{t}[/tex]

[tex]s = \frac{228}{6} \\\\\\s = 38 miles/hour[/tex]

Since Andre travels at constant speed throughout the journey, we can calculate the distance traveled in 1 hour:

[tex]distance = speed * time\\\\\\distance = 38 * 1[/tex]

distance = 38 miles

Andre travels 38 miles in 1 hour.

(c) Jada travels faster than Andre because he has a higher speed (45 miles/hour) than Andre ( 38 miles/hour).

At an ice cream shops there are 3 different flavors of ice cream and 10 different toppings. What is the probability of the next customer ordering strawberry ice cream with sprinkles? Use a / to represent the fraction bar.

Answers

Answer:

1/30 = 3.33%

Step-by-step explanation:

There are 3 different flavors available and the favorable outcome is only strawberry flavor. There are 10 toppings and the favorable outcome is sprinkle. To calculate the probability for the two events, you just need to multiply both. The calculation will be:

P(strawberry) * P(sprinkle) = 1/3 * 1/10= 1/30

The probability of the next customer ordering strawberry ice cream with sprinkles, given that there are 3 flavors and 10 toppings, is 1/30.

The student asks about the probability of a specific ice cream order at an ice cream shop, which involves both flavor selection and topping selection. Since there are 3 different flavors and 10 different toppings, we treat these choices as independent events. The probability of selecting strawberry ice cream is 1/3, as it is one of the three available flavors. The probability of selecting sprinkles as a topping is 1/10, since it is one of ten toppings. To find the total probability of both events occurring (strawberry ice cream with sprinkles), we multiply the two separate probabilities:

Probability = Probability of strawberry ice cream times Probability of sprinkles = 1/3 times 1/10 = 1/30.

Linear relations I need help on these two

Answers

a linear equation is an equation that may be put in the form where are the variables, and are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables.

Which ordered pair is a solution of the equation?

Answers

i don’t see a picture

I need help ASAP. Will give 20 points :0 It may look easy, but it's really hard for me

The first "choose" is divide or multiply

The second "choose" is 3, 12, or 36

Answers

Answer:

divide and 12

42

Step-by-step explanation:

Hope it helps!

Answer:

divide by 12!

Step-by-step explanation:

to convert inches to feet you divide by 12. to convert feet to inches you multiply by 12

what is the 25th term of the arithmetic sequence of -84, -77, -70, ...

Answers

Answer:

Your're answer is 84.

The sum of the angle measures in a triangle is 180. The angles of a
certain triangle measure x°, 2xº, and 6x° Solve for the measure of
each angle.


40°, 60° and 80°
50°, 50° and 80°
20°, 40° and 120°
30°, 50° and 100°

Answers

Answer:

20, 40, and 120

Step-by-step explanation:

x, 2x, and 6x have one thing in common: X. X is the same number throughout so if we find x we can just finish the equation by multiplying x by its coefficient.

x+2x+6x = 180. (Sum of angle measures)

9x           = 180 (Add up the left side)

9x/9        = 180/9 (Divide both sides by 9 to cancel out the 9 and leave the x)

x              = 20

Now we know what x is so:

Angle 1 = 20. (We know x is 20, so that one is easy.)

Angle 2 = 40 (Simply 2*x or 2*20)

Angle 3 = 120 (Simply 6*x or 6*20)

It’s is 20,40 and 120

Which two numbers go into the blanks so they add to be the bottom number but also multiply to be the top?

Answers

Answer:

8 and 6

Step-by-step explanation:

8 * 6 = 48

8 + 6 = 14

8 and 6
8 times 6 is 48.
8 plus 6 is 14.

Expand: In 2a^3/b^4

In 2 + 3 In a - 4 In b
In 2 - 3 In a - 4 In b
In 2 - 3 In a + 4 In b

Answers

Answer:

  ln(2) +3ln(a) -4ln(b)

Step-by-step explanation:

  [tex]\ln{\left(\dfrac{2a^3}{b^4}\right)}=\ln{(2a^3b^{-4})}=\ln{(2)}+\ln{(a^3)}+\ln{(b^{-4})}\\\\=\boxed{\ln{(2)}+3\ln{(a)}-4\ln{(b)}}[/tex]

__

The applicable rules of logarithms are ...

  log(ab) = log(a)+log(b)

  log(a^b) = b·log(a)

Final answer:

To expand the expression In 2a³/b⁴, you apply logarithm properties to obtain In 2 + 3 In a - 4 In b, which separates the factors into individual log terms.

Explanation:

The question asks us to expand the logarithmic expression In 2a³/b⁴ using logarithm properties. The correct expansion of this expression is given by the sum of the logarithms of the numerator's factors minus the sum of the logarithms of the denominator's factors. Applying the properties of logarithms (product to sum and quotient to difference), we obtain the expansion as follows:

In 2a³/b⁴ = In 2 + In a³ - In b⁴

The logarithm of a power (such as In a³ and In b⁴) can be brought down as a coefficient:

In 2 + 3 In a - 4 In b

Thus, the correct expansion is In 2 + 3 In a - 4 In b.

A sweater is marked down 30% off the original price. The original price was $37.50. What is the sale price of the sweater before tax?

Answers

Answer:

26.25

Step-by-step explanation:

WILL MARK BRAINLIEST
(see picture attached)
Answer choices:
4
6
12
24

Answers

Answer:

Step-by-step explanation:

24 i think so

The scale for a model car is 2 inches : 2 feet. What is the height of the
actual car in feet?



Answers

Answer:

11 ft by 5.5 ft

Step-by-step explanation:

The scale is 2in for 2 ft or 1in for 1ft

This means that you can just take the number in inches and change it to feet. Therefore 11 inches turns to 11 feet and 5.5 inches turns into 5.5 feet.

I'm having trouble with solving logs...can anyone please explain how to solve these two?

#19
[tex]a) 3-3log30\\\\b) \frac{1}{3} log_{6} (8w^6)[/tex]

Answers

Answer:

A.) [tex]3-3\log _{10}\left(30\right)[/tex] or -1.43136... (Decimal Form)

B.) [tex]\log _6\left(2\right)+2\log _6\left(w\right)[/tex]

Explanation: I inserted image to explain how to solve the second one, but for the first one you can't go any further except writing it in standard form or changing it into a decimal.

Your welcome :3

If the mean salary of high school teachers In the United States is $42,335 and the standard deviation is 2,000 the probability that a randomly selected teacher will make more than $40,542 per year

Answers

Answer: The probability that a randomly selected teacher will make more than $40,542 per year is 0.82

Step-by-step explanation:

Looking at the information given, the population mean and population standard deviation are known. We would apply the formula

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = population standard deviation

From the information given,

µ = $42335

σ = 2000

x = $40542

The probability that a randomly selected teacher will make more than $40,542 per year is expressed as

P(x > 40542) = 1 - P(x ≤ 40542)

For P(x ≤ 40542),

z = (40542 - 42335)/2000 = - 0.9

Looking at the normal distribution table, the probability corresponding to the z score is 0.18

P(x > 40542) = 1 - 0.18 = 0.82

A country's Department of Wildlife hires Elizabeth to estimate its wild goat population. Elizabeth catches 75 goats, tags them, and releases them. Then Elizabeth uses binoculars to observe a group of 260 goats, 25 of which are tagged. To the nearest whole number, what is the best estimate for the goat population?

Answers

Answer:

300

Step-by-step explanation:

if Elizabeth tagged 75 and observes 260 with 25 already taged yo need to add 260+75-25+310

since you need to round to nearest whole number it will be 300

I believe that is is 300

If 1 = 2x + 6 and 2 = -x + 24, find 1 and 2.

Answers

Given:

∠1 = 2x+6 ans ∠2= -x+24

To find the values of ∠1 and ∠2.

Formula:

The values of the vertical angles are always equal.

Here,

∠1 and ∠2 are vertical angles.

So, by this condition,

∠1=∠2

or,[tex]2x+6 = -x+24[/tex]

or, [tex]2x+x = 24-6[/tex] [ Taking all the variables in one side and all the constant in other side]

or, [tex]3x = 18\\[/tex]

or, [tex]x = \frac{18}{3}[/tex]

or, [tex]x = 6[/tex]

So,

∠1 = [tex]2(6)+6 = 18^\circ[/tex]

∠2 =[tex]-6+24 = 18^\circ[/tex]

Hence,

The values of ∠1 and ∠2 are 18°.

Nathan and Jorge are working on a decimal division problem in
math class. After finishing the problem, it looked like this: 4.76 ÷
2.5 = 0.19. Nathan said that the decimal is incorrectly placed in the
quotient, and Jorge disagrees. Who is right? Explain your answer.

Answers

Answer:

Nathan

Step-by-step explanation:

Because 4.76 ÷ 2.5 is 1.904

Final answer:

Nathan is correct about the decimal being misplaced in the quotient. The correct division of 4.76 by 2.5 should give 1.904 when rounded off to two decimal places.

Explanation:

In this case, Nathan is correct in stating that the decimal is misplaced in the quotient. When rounding to two decimal places, the correct calculation should be 4.76 ÷ 2.5 = 1.904, not 0.19. The decimal point division process can be simplified as follows:

Write the division as a fraction (4.76/2.5) and change both numbers into whole numbers by moving the decimal places to the right until you have whole numbers (47.6/25 = 476/250).Next, perform the division operation as you would with whole numbers (476÷250 = 1.904).

Another approach would be to simply use a calculator to confirm the correct division of 4.76 by 2.5.

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do i use sin cos or tan to solve this problem

Answers

u use sin and just do sin(x)=29/34 and then use inverse sin

Joni has a box that has a mass of 67 dekagrams. She converts this to centigrams. Her work is shown below.
67 dekagrams + 1,000+ 0.067 centigrarns
Which statement explains Joni's error? Use the metric table to help answer the question.
kilo-
1.000
hecto
100
deka-
10
Metric Table
unit
1
1
deci-
0 .1
centi-
0.01
milli-
0.001
Joni should have multiplied by 10,000,
Joni should have multiplied by 1,000.
Joni should have divided by 100.
Joni should have divided by 10,000,
Mark this and return
Save and Exit
Next
Submit

Answers

Joni should have multiplied by 1,000.

Step-by-step explanation:

Mass of the box = 67 decagrams

1 decagram = 1000 centigrams

So, 67 decagrams = 67 x 1000 centigrams

= 67000 centigrams

Joni should have multiplied by 1,000.

Answer:

its A

Step-by-step explanation:

got it right on EDG


What is the surface area of the box formed by the
net above?
A. 162cm?
B. 244cm?
2640cm?
D. 3040cm?

Answers

Answer:

B.

Step-by-step explanation:

It just is...i got it right

what is the range of 66, 8, 12, 74, 36, 66, 7

Answers

Answer: 67.

Step-by-step explanation: To find the range of a set of numbers, all you have to do is subtract the smallest number in the set from the largest number. In this case, the smallest number would be 7 and the largest number would be 74. 74 - 7 equals 67, and so the range is 67.

Final answer:

The range is the difference between the largest and smallest numbers in the set. For the numbers 66, 8, 12, 74, 36, 66, 7, the range is 67.

Explanation:

The range of a set of numbers is the difference between the largest and smallest numbers in the set. To find the range of the numbers 66, 8, 12, 74, 36, 66, 7, you would first identify the smallest and largest number, which are 7 and 74, respectively. Then, subtract the smallest number from the largest number: 74 - 7 = 67.

Therefore, the range of the set of numbers is 67.

Multiply.
Your answer should be a monomial in standard form.
(-9n^3)(n^3)

Answers

Final answer:

To multiply monomials, you multiply the coefficients and add the exponents of like variables. The product of -9n^3 and n^3 is -9n^6.

Explanation:

The question is about multiplying two monomials in mathematics. In this case, the two monomials are -9n^3 and n^3. To multiply monomials, you multiply the numerical coefficients and add the exponents of like variables. Here, the coefficient is -9 and the exponent 3 for the first monomial and 1 and 3 for the second monomial. When you multiply -9 by 1, you get -9. When you add the exponents 3 and 3, you get 6. So, the product of those two monomials in standard form is -9n^6.

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A 12 pack of soda is roughly $2.52. What is the cost per one can of soda?

Answers

Answer:

$2.52/12= $.21

the cost of one can of soda is $.21

Step-by-step explanation:

Answer:

$0.21 per can.

Step-by-step explanation:

You divide the amount of money for all 12 cans by 12.

2.52/12=0.21

Is the following real-world scenario a Quadratic, Exponential, or Linear function?
"A library has 8000 books, and purchases 500 more books each year."

Answers
(A)Quadratic Model
(B)Exponential Model
(C)Linear Model
(D)None of the Above

Answers

Answer:

C: Linear model

Step-by-step explanation:

Find the quotient. (3.683 × 104) (7.51 × 1012) What is the solution in scientific notation?
A.4.9041 × (-9)10
B.4.9041 × 10-9
C.4.9041 × 109
D.4.9041 × 910

Answers

Answer:

B

Step-by-step explanation:

[tex]\frac{3.683 \times 10^4}{7.51 \times 10^{12}} \\=\frac{36.83 \times 10^3}{7.51 \times 10^{12}} \\=\frac{36.83}{7.51} \times 10^{3-12}\\ \approx 4.9041 \times 10^{-9}[/tex]

The quotient in the scientific notation form will be 4.9041 × 10⁻⁹. The correct option is B.

What is a scientific notation?

Scientific notation can be used to indicate numbers that are either too big or too little to be conveniently stated in decimal form. It may be called scientific form.

Standard notation is the practice of writing a number using nothing but its digits. This is how numbers are usually expressed because traditional number notation does not utilize words.

Given that the two numbers are (3.683 × 10⁴) and (7.51 × 10¹²). The quotient will be calculated as:-

Quotient = (3.683 × 10⁴) ÷ (7.51 × 10¹²)

Quotient = 0.49 x 10⁻⁸

Quotient = 4.9 x 10⁻⁹

The quotient will be 4.9041 × 10⁻⁹.

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A university has 28,470 students. In a random sample of 285 students, 19 speak three or more languages. Predict the number of students at the university who speak three or more languages. The expected number of students at the university who speak three or more languages is .

Answers

Answer:

The expected number of students at the university who speak three or more languages is 1898.

Step-by-step explanation:

Given that A university has 28,470 students.

In a random sample of 285 students, 19 speak three or more languages.

To find the expected number of students at the university who speak three or more languages :

From the given 19 out of 285 speaks three or more languages, a expected number of students would be given by

[tex]28470\times (\frac{19}{285})[/tex]

[tex]=\frac{540930}{285}[/tex]

[tex]=1898[/tex]

∴ the expected number of students at the university who speak three or more languages is 1898

514) 30 + 38(n +22) = -33(n +34)
expand the brackets ​

Answers

Answer:

CHALLENGE ACCEPTED!

Step-by-step explanation:

15420 + 38N + 836 = -33N - 1122

15420 + 836 + 1122 = -333N -38N

17378 = -371N

N = -46.8

84 is what percent of 300

Answers

84 of 300 is 252.

84% × 300 =

84 ÷ 100 × 300 =

84 × 300 ÷ 100 =

25200 ÷ 100 =

252

Which values are solutions of the quadratic equation
0 = (x + 3)2 - 4? Check all that apply.

Answers

The values that are solutions for the quadratic equation 0=(x+3)2-4 is -1 and -5
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