Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location near Ames city limits. Experts believed that approximately 15% of the surrounding population would be interested in becoming season ticket holders. A random sample of 500 residents of Story County was collected (of the approximately 80,000 residents of Story County). Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames. The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to ___________.

Answer:

$460

Step-by-step explanation:

Thus, a product that normally costs $400 with a 15 percent discount will cost you $340.00, and you saved $60.00. You can also calculate how much you save by simply moving the period in 15.00 percent two spaces to the left, and then multiply the result by $400 as follows: $400 x .15 = $60.00 savings.

Answer:

-2 and 3

Step-by-step explanation:

From the graph, the solution is the points where the curve cuts the x axis. From the graph, you can see that the equation cuts the x axis at two points that is at x=-2 and 3.

Hence the solutions to the equation is -2 and 3

Answer:

I think it is 65 because we can divide it by 5

Answer:

i think there is only one multiple which is 65

Answer:

Hope this helps. If it doesn't then I apologize.

Answer:

this is the correct answer

please mark brainliest

Answer:

[tex]H_0[/tex] : [tex]\mu \leq 445.99[/tex]

[tex]H_a[/tex] : [tex]\mu > 445.99[/tex]

Step-by-step explanation:

It is given the average cost of the flight nationwide is $ 445.99

I wanted to [tex]\text{perform the hypothesis test}[/tex] to determine that the true average is greater than $ 445.99

Let the hypothesis that the true average is actually greater than $445.99

Therefore,

the [tex]\text{null hypothesis}[/tex] for the test is :

[tex]H_0[/tex] : [tex]\mu \leq 445.99[/tex]

And the alternate hypothesis is :

[tex]H_a[/tex] : [tex]\mu > 445.99[/tex]

Answer:

[tex](\frac{13}{5};\frac{6}{5}).[/tex]

Step-by-step explanation:

[tex]1)\left \{ {{5x=13} \atop {y=2x-4}} \right. \ 2)\left \{ {{x=\frac{13}{5} } \atop {y=\frac{6}{5} }} \right.[/tex]

short explanation: 1) to add the 1st equation to the 2d; 2) to calculate the value of 'x', then to substitute x=13/5 into the 2d equation and calculate the value of 'y'.

Answer:

PUT THEM IN ORDER SO I CAN UNDERSTAND oh 56.86

Answer:

C. 60

Step-by-step explanation:

1+5=6

90÷6=15

15 ×5=75

15×1=15

75-15=60

The difference between the largest and the smallest of the two numbers is 60.

We have given that,

The sum of two numbers is 90 and their ratio is 1/5.

The difference is a key concept of philosophy, denoting the process or set of properties by which one entity is distinguished from another within a relational field or a given conceptual system

[tex]1+5=6\\90\6=15\\15 \times 5=75\\15\times 1=15\\75-15=60[/tex]

Therefore, The difference between the largest and the smallest of the two numbers is 60.

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An angle of depression is measured from the horizon downwards and an angle of elevation is measured from the horizon upwards.

When solving for the sides or angles of a right triangle you can use trigonometry. The sine of an angle is found by the ratio of the opposite side and the hypotenuse. The cosine of an angle is found by the ratio of the adjacent side and the hypotenuse. The tangent of an angle is found by the ratio of the opposite side and the adjacent side.

The opposite side is always the leg opposite the angle that you are using. The adjacent side is the leg that forms one of the sides of the angle you are talking about and the hypotenuse is always across from the right angle.

If you know two lengths you can find the third leg length by using the Pythagorean Theorem.

Answer:

2396

Step-by-step explanation:

Let the diameter = d

Let the height = h

Formula

Metric Tons = k * d^4 / h^2

Solution

Metric Tons = 64

d = 2

h = 9

k = ?

(You can't do the second part by not using a ratio unless you  put k in and solve for it)

64 = 2^4 k / 9^2

64 = 8 *k / 81

64 * 81 / 8 = k

5184 / 8 = k

k = 648

Solve for the second example

Metric Tons = d^4 * k / h^2

Metric Tons = ?

d = 5

h = 13

k = 648

Metric Tons = 5^4 * 648 / 13^2

Metric Tons = 625 * 648 / 169

Metric Tons = 2396 rounded.

The probability the spy is able to unlock the tablet on his first try is P = 1/362880

Given that,

Camila sets up a passcode on her tablet, which allows only nine-digit codes.

And, A spy sneaks a look at Camila's tablet and sees her fingerprints on the screen over nine numbers.

Hence,  the total amount of different sequences that can be built using 9 digits is:

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 362,880

Therefore, the probability the spy is able to unlock the tablet on his first try is,

P = 1/362880

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Answer:

pls complete your question. what exactly are we supposed to calculate?

Answer: Hello your question is incomplete below is the missing part of the question

The Bureau of the Census reports that the median family income for all families in the United States during the year 2003 was $43,318. That is, half of all American families had incomes  exceeding this amount, and half had incomes equal to or below this amount. Suppose that four  families are surveyed and that each one reveals whether its income exceeded $43,318 in 2003.

answer :

P(A) = 11 / 16

P(B)  = 3/8

and P(C) = 1/4

Step-by-step explanation:

Making use of the given interpretation for the median we can assign probabilities to simple events as

P(A) = | A | / | sample space |

where | A | = 11

sample space = 16

P(A) = 11 / 16

∴ P(B) = 6/16 = 3/8

and P(C) = 4/16 = 1/4

Given:

The mean and the median of the monthly sales are 130,000 AED and 170,000 AED respectively.

To find:

The distribution of the monthly sales.

Solution:

We know that,

For symmetrical distribution, mean is equal to median.

For positively skewed distribution, mean is greater than median.

For negatively skewed distribution, mean is less than median.

We have,

Mean of the monthly sales =  130,000 AED

Median of the monthly sales = 170,000 AED

Here, Mean is less than the median because 130,000 < 170,000.

Therefore, the distribution is negatively skewed. Hence, the correct option is D.

A translação é o movimento que a Terra realiza em torno do Sol, sendo que ela demora 365 dias, 5 horas e 48 minutos para completá-lo. Esse movimento é o responsável direto pela existência das estações do ano. Como o eixo de inclinação do nosso planeta é de 23º27', há períodos em que os dias são maiores que as noites (solstícios de verão), períodos em que as noites são maiores que os dias (solstícios de inverno) e períodos em que eles possuem a mesma duração (equinócios de primavera e outono).

Answer:

g(x) = 2x + 1

Step-by-step explanation:

f(x)= 3x - 5 when it is translated 6 units up

Translating a function a units is adding a to the function. So

[tex]3x - 5 + 6 = 3x + 1[/tex]

Horizontal stretch by a factor of 3/2.

This means that [tex]g(x) = f(\frac{2x}{3})[/tex], that is. So

[tex]g(x) = 3(\frac{2x}{3}) + 1 = 2x + 1[/tex]

Then

g(x) = 2x + 1

Answer:

61º

Step-by-step explanation:

sin= opp/hyp

sin∅ = 35/40

∅ = arcsin35/40

use calculator

∅ = 61.044975628140152

∅ ≈ 61º

Answer:

-4

Step-by-step explanation:

60 + x + 124 = 180 degree (being linear pair)

x + 184 = 180

x = 180 - 184

x = -4

Answer:

x+124=180(linear pair angle)

x=56

i am confused between -4 and 56

Undefined

Order of matrix Q is 4 by 3

whereas order of R is 4by 4

In order to add two matrices , they should be of same order.

Answer:

DOES NOT EXIST.

Step-by-step explanation:

The sum of two matrices exists only if the matrices are of the same order.

Here Q is 3x3 and R is 4x4, so they do not have the same order, hence the sum DOES NOT EXIST.

Given:

A company wants to select 1 project from a set of 4 possible projects.

Consider the options are:

a. [tex]X_1+X_2+X_3+X_4=1[/tex]

b. [tex]X_1+X_2+X_3+X_4\leq 1[/tex]

c. [tex]X_1+X_2+X_3+X_4\geq 1[/tex]

d. [tex]X_1+X_2+X_3+X_4\geq 0[/tex]

To find:

The constraints that ensures only 1 will be selected.

Solution:

It is given that the company wants to select 1 project from a set of 4 possible projects. It means the sum of selected projects must be equal to 1.

[tex]X_1+X_2+X_3+X_4=1[/tex]

Therefore, the correct option is (a).

Answer:

2

Step-by-step explanation:

it has 2 in the equation

Answer:

64 pounds of the $8.10 Mexican Shade Grown

36 pounds of the $14.10 Tanzanian

Step-by-step explanation:

8.1x + 14.1(100 - x) = 10.26(100)

Distribute

8.1x + 1410 - 14.1x = 1026

Combine like terms

1410 - 6x = 1026

Subtract 1410 from both sides

-6x = -384

Divide both sides by -6

x = 64 pounds of the $8.10

100 - x = 36 pounds of the $14.10

Answer:

See the image below for answer:)

Step-by-step explanation:

Answer:

B. (1 ± sqrt(33)) / 4

Step-by-step explanation:

the 2 solutions for a quadratic equation

ax² + bx + c = 0

are defined as

x = (-b ± sqrt(b² - 4ac)) / 2a

in our example here we have

a = -2

b = 1

c = 4

=>

x = (-1 ± sqrt(1 + 32)) / -4 = (1 ± sqrt(33)) / 4

as we can easily divide top and bottom by -1 to turn the -1 and -4 into positive numbers, and the second top part, the square root, is a ± factor anyway. just withing the sign dues not change the fact that is is still a ± factor (both signs apply).

and now it is clear, it has to be option B.

the others disqualify because they have either no division by any form of 4, or the "1" and the "4" have different signs. but our equation shows they need to have equal signs (either both negative or both positive).

Answer:

336 ft³ or 336 cubic feet

Step-by-step explanation:

Volume = Area triangle * height

Area triangle = 1/2(8 x 14)

Area triangle = 1/2(112) = 56 ft²

56 ft² * 6 ft = 336 ft³

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

9 is the answer

Answer:

2n=18

Step-by-step explanation:

Double means multiply by 2. A number can be represented by n.

So the equation is

2n=18

BONUS:

2n=18

/2    /2

n=9

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hope it helps

Answer:

x = 5.3

Step-by-step explanation:

Reference angle (θ) = 24°

Opposite side to the reference angle = x

Adjacent side = 12

Apply TOA, which is:

Tan θ = Opp/Adj

Plug in the values

Tan 24° = x/12

12*Tan 24° = x

5.34274422 = x

x = 5.3 (approximated to one decimal place)

Answer:

obtuse

Step-by-step explanation:

A circle is 360 degrees

Divide by 3

360/3 =120

This is greater than 90 and less than 180 so it is obtuse

Step-by-step explanation:

p^2+b^2=h^2

or, 16+9=h^2

or, 25=h^2

or h=5

again, p^2 +b^2=h^2

or, 25+b^2=36

or, b^2=11

or. b=√11 therefore b=x=√11