the probability of winning the grand prize at a particular carnival game is 0.005. michele wins the grand prize. is this considered a rare or common event? why?

The statement "the null hypothesis always includes an equals sign (=)" is a. true.

Null Hypothesis is the claim that no difference or relationship exists between two sets of data or variables being analysed. The null hypothesis is typically represented as H0 and is used in hypothesis testing to establish a baseline assumption that there is no relationship between variables or that the effect of a treatment is equal to zero. It often includes an equals sign, as it represents the assumption of no difference or no effect. A type II error is a statistical term referring to the acceptance (non-rejection) of a false null hypothesis. It is used within the context of hypothesis testing. A type II error produces a false negative, also known as an error of omission. For example, a test for a disease may report a negative result, when the patient is, in fact, infected. This is a type II error because we accept the conclusion of the test as negative even though it is incorrect.

Learn more about null hypothesis here, https://brainly.com/question/30535681

#SPJ11

An expression is defined as a set of numbers, variables, and mathematical operations. The sum of three and the square root of a number is expressed as 3 + √x.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the unknown number be represented by x.

1.) The sum of three and the square root of a number.

3 + √x

2.) Nine less than a number cubed.

x³ - 9

3.) The quotient of a number and 7.

x ÷ 7

4.) Four times a quantity plus five.

4x + 5

Hence, The sum of three and the square root of a number is expressed as 3 + √x.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

Answer:

Undefined the slope is a slope line

Step-by-step explanation:

It is horizontal straight across

By using the definitions of distance and number line, the distance between a and b on the number line is 10.97 units, not 0.47 units. (Right choice: A)

Herein we must determine what choice is false with respect to two integers, one negative and other positive. The first choice represents a false proposition as:

|a - b| = |- 5.72 - 5.25| = |- 10.97|

|a - b| = 10.97

By using the definitions of distance and number line, the distance between a and b on the number line is 10.97 units, not 0.47 units. (Right choice: A)

To learn more on number lines: https://brainly.com/question/13189025

#SPJ1

Answer:

9 miles, or 47520 feet :)

Step-by-step explanation:

Answer:

47520

Step-by-step explanation:

3x3=9

5280*9=47520

Answer:

C: 7/5

Step-by-step explanation:

In determining the slope of a line, the type of fraction we use is (x-axis/y-axis)

Since the only part of the graph where the x and y are whole numbers (except for the origin but that helps us none lol) is (7, 5), the slope of the line is 7/5

Answer:

The solutions are 0° and 3π

Step-by-step explanation:

On solving the equation given;

\(sin(\frac{3\pi}{2}+x )+ sin(\frac{3\pi}{2}+x ) = -2\\2sin(\frac{3\pi}{2}+x ) = -2\\sin(\frac{3\pi}{2}+x ) = -1\\\frac{3\pi}{2}+x = sin^{-1}-1\\ \frac{3\pi}{2}+x = -\frac{\pi}{2} \\x = -\frac{\pi}{2} -\frac{3\pi}{2} \\x = \frac{-4\pi}{2} \\x = -2\pi\\\)

Since sin is negative in the 3rd and 4th quadrant,

In the 3rd quadrant;

x =180°+2π

x = π + 2π

x = 3π

In the 4th quadrant;

x = 360°-2π

x = 2π-2π

x = 0°

Part A: The salesperson should expect 1.92 customers until she finds a customer that makes a purchase.

Part B: The probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 11.98%.

The number of customers a salesperson should expect until she finds a customer that makes a purchase can be modeled by a geometric distribution since each customer's decision to make a purchase is independent, and the probability of success (making a purchase) remains constant at 52%.

Part a:

The expected value (E) of a geometric distribution is given by E = 1/p, where 'p' is the probability of success (making a purchase).

In this case, p = 0.52 (52% probability of making a purchase).

E = 1/0.52

= 1.9231

So, the salesperson should expect approximately 1.92 customers until she finds a customer that makes a purchase.

part b:

The probability that a salesperson helps 3 customers until she finds the first person to make a purchase can be calculated using the geometric distribution formula:

\(P(X = k) = (1 - p)^{k-1} \times p\)

Where:

X = the number of trials until the first success (making a purchase)

p = probability of success (making a purchase)

In this case, k = 3 (the salesperson helps 3 customers until the first purchase), and p = 0.52 (probability of making a purchase).

\(P(X = 3) = (1 - 0.52)^{3-1} \times 0.52\)

\(P(X = 3) = (0.48)^2 \times 0.52\)

\(P(X = 3) = 0.2304 \times 0.52\)

\(P(X = 3) = 0.1198\)

Hence, the probability that a salesperson helps 3 customers until she finds the first person to make a purchase is approximately 0.1198 or 11.98%.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ12

Therefore, the width of the box is approximately 0.529 angstroms.

The energy of an electron in a rigid box is given by the equation:

E = (n^2 * h^2) / (8mL^2)

where n is the quantum number, h is Planck's constant, m is the mass of the electron, and L is the width of the box.

The energy difference between the ground state (n = 1) and the excited state (n = 2) is given by:

ΔE = E2 - E1

= [(2^2 * h^2) / (8mL^2)] - [(1^2 * h^2) / (8mL^2)]

= (3/8) * (h^2 / mL^2)

We know that the photon absorbed has an energy of 9 eV. We can convert this to joules using the conversion factor 1 eV = 1.602 x 10^-19 J:

9 eV * (1.602 x 10^-19 J/eV) = 1.443 x 10^-18 J

We can set this energy equal to the energy difference between the ground and excited states and solve for L:

(3/8) * (h^2 / mL^2) = 1.443 x 10^-18 J

L^2 = (3 * h^2) / (8m * 1.443 x 10^-18 J)

Taking the square root of both sides, we get:

L = sqrt[(3 * h^2) / (8m * 1.443 x 10^-18 J)]

Substituting the values for h and m (Planck's constant and the mass of an electron) and simplifying, we get:

L = 0.529 Å

To know more about width,

https://brainly.com/question/22732178

#SPJ11

Answer:

6

Step-by-step explanation:

both sides are equal so they are 46

180-46-46 = 88

13x+10=88

13x=88-10

13x=78

x=78/13

x is 6

Answer:

(2, 3, 5, 9, 1, 6) (2, 0, 2, 2, 7, 2) (9, 9, 9, 5, 5, 0) (0, 4, 9, 9, 4, 0)

(3, 7, 7, 2, 5, 8) (2, 5, 5, 2, 4, 1) (6, 4, 6, 7, 9, 4) (5, 2, 9, 7, 8, 3)

(4, 7, 1, 3, 4, 3) (7, 0, 7, 3, 3, 5) (8, 6, 3, 0, 0, 6) (9, 1, 0, 7, 7, 7)

(2, 6, 3, 1, 1, 7) (8, 0, 0, 8, 3, 7) (9, 1, 8, 7, 4, 6) (9, 3, 6, 0, 5, 0)

(0, 0, 8, 3, 7, 8) (2, 5, 2, 7, 3, 5) (3, 5, 1, 5, 0, 2) (5, 1, 9, 9, 7, 4)

Step-by-step explanation:

The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.

1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".

2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".

Therefore, the value of the expression "true && !false" is "true".

to know more about expression here:

brainly.com/question/15994491

#SPJ11

Answer:

Slope = -1/2

Step-by-step explanation:

Use y = mx + b to find the slope (m) Write the expression as an equation (-14y)-7x=0. Rewrite in slope-intercept form by removing the parentheses, adding 7x to both sides, dividing each term by -14, then writing in y = mx + b form, which is m=-1/2x. Remove the variable, it becomes your answer of -1/2.

In the case of the electronic chess game, with a useful life that follows an exponential distribution with a mean of 30 months, we need to determine the length of service time after which the percentage of failed units will approximately equal 50 percent. The options provided are 9 months, 16 months, 21 months, and 25 months.

For the major television manufacturer, the service life of its 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. We are asked to calculate the probability of service lives of at least five years.

1. Electronic Chess Game:

The exponential distribution is characterized by a constant hazard rate, which implies that the percentage of failed units follows an exponential decay. The mean of 30 months indicates that after 30 months, approximately 63.2% of the units will have failed. To find the length of service time when the percentage of failed units reaches 50%, we can use the formula P(X > x) = e^(-λx), where λ is the failure rate. Setting this probability to 50%, we solve for x: e^(-λx) = 0.5. Since the mean (30 months) is equal to 1/λ, we can substitute it into the equation: e^(-x/30) = 0.5. Solving for x, we find x ≈ 21 months. Therefore, the length of service time after which the percentage of failed units will approximately equal 50 percent is 21 months.

2. LED Televisions:

The service life of 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. To find the probability of service lives of at least five years, we need to calculate the area under the normal curve to the right of five years (60 months). We can standardize the value using the formula z = (x - μ) / σ, where x is the desired value, μ is the mean, and σ is the standard deviation. Substituting the values, we have z = (60 - 72) / 0.5 = -24. Plugging this value into a standard normal distribution table or using a calculator, we find that the probability of a service life of at least five years is approximately 1.0000 (or 100% with four digits after the decimal point).

Therefore, the probability of service lives of at least five years for 50-inch LED televisions is 1.0000 (or 100%).

Learn more about exponential distribution here: https://brainly.com/question/28256132

#SPJ11

Answer:

The answer is $22.74

Step-by-step explanation:

As x increases, y decreases.

We have the following:

with a proportionality rule we can solve the question, since if 40% are 60 pieces, how many will be 100% :

The answer is 150 pieces of bubble in total

There are 8 tenths in 4/5, There are five fifths in 1/10, there are 2 tenths in 1/5, there are 25 fifths in 5.

The digit that follows the decimal has the place value of tenth. It stands for the digit's 1/10 position.

The fifth of a number is obtained by multiplying five occurrences of the number n together: n5 = n n n n. A number's fourth power or its square by its cube can likewise be used to create fifth powers.

a) Given 4/5, multiply the numerator and denominator by 2 to obtain the tenths. We get =4/5 2/2 =8/10 =8(1/10). Similarly, in 1/5, calculate the tenths in 1/5.

c) 525/25 = 25 is the fifth in 5.

To know more about fifths and tenths, visit:

https://brainly.com/question/1254522

#SPJ9

The claim that a drug is effective at 1% is not sufficiently supported by the available data.

Participant 1 2 3 4 5 6

Before 185 220 190 158 227 211

After 175 215 195 155 230 207

Difference = Before - After = 10 5 -5 3  -3 4

Participant 7 8 9 10 11 12

Before 260 156 201 300 180 270

After 258 159 201 290 172 272

Difference = Before - After = 2 -3 0 10  8 -2

Participant 13 14 15 16 17 18

Before 293 183 205 151 291 166

After 290 185 200 146 287 166

Difference = Before - After = -7 -2 5 5  4 0

Hypothesis :

H0 : μd = 0

H0 : μd ≠ 0

10+5-5+3-3+4+2-3+10+8-2+3-2+5+5+4+0 = 44

The mean of d, \(d`\) = Σd / n = 44 / 18 = 2.44

The standard deviation, S.d = 4.45 (using calculator)

The test statistic, T : \(d`\) / (S.d/√n)

T = 2.44 / (4.45/√18)

T = 2.44 / 1.0488750

T = 2.326

Degree of freedom, df = n - 1 ; 18 - 1 = 17

P value = 0.0326

α = 0.01

Since P value < α ; we fail to reject H0

So the claim that a drug is effective at 1% is not sufficiently supported by the available data.

To know more about hypothesis here

https://brainly.com/question/29519577

#SPJ4

Check the picture below.

notice, ∡JKM is an inscribed angle intercepting arcJM, and ∡KJL is also an inscribed angle intercepting arcKL.

The length of the resort pool in inches is equal to 84.

Given the following data:

To calculate the length of the resort pool in inches:

In this exercise, you're required to determine the length of a resort pool that has a similar dimension with the given rectangular pool. Thus, we would convert the value of the length of the rectangular pool measured in feet to inches.

Conversion:

1 feet = 12 inches.

7 feet = X inches.

Cross-multiplying, we have:

\(X=7 \times 12\)

X = 84 inches

Read more on the length of a rectangle here: https://brainly.com/question/25292087

Answer:310.45

Step-by-step explanation:

Answer:

5.33lb of candy

Step-by-step explanation:

First, you'd need to set up a proportion.

4 pounds         x poinds

----------- = -------------

9 dollars         12 dollars  

Then, cross multiply.

  9x = 4(12)

  9x = 48

    x = 48/9

And your answer is x = 5.33!

Hope I helped! ☺

Answer:We are given that 4 lb of candies are bought for $9.00

Therefore, the price of 1 lb of candies is:

9/4=2.25

Now the amount of candies that can bought for $12.00 is:

12/2.25=5.3333

Therefore, 5.3333 lb of candies can be bought for $12.00

Step-by-step explanation:

There are two 1/2’s in an hour

4 in 2 hours + 0one more 1/2 makes 5 total

Answer: 5

A correlation coefficient based on the observational study cannot be used to support a claim of cause and effect. The correct answer is D: never.

Correlation does not imply causation, and while a strong correlation between two variables may suggest that there is a relationship between them, it does not prove that one variable causes the other. Observational studies are particularly susceptible to confounding variables, which can make it difficult or impossible to determine whether a relationship between two variables is causal or not.

To establish causality between two variables, a randomized controlled experiment is required. In a randomized controlled experiment, the experimenter can manipulate the independent variable and observe the effect on the dependent variable, while controlling for other variables that might affect the outcome. By randomly assigning subjects to different treatment groups, the experimenter can ensure that any differences in the outcome between groups are due to the treatment, rather than some other factor.

Therefore, while a correlation coefficient can be a useful tool for describing the relationship between two variables, it cannot be used to establish causality.

Learn more about correlation coefficient here: brainly.com/question/11811889

#SPJ4

Answer: The last one, I would suppose.

Answer:

m∠E = 60°

Step-by-step explanation:

The given information in the diagram are;

The shape of the drawing, ΔEDF = A right triangle

The length of the hypotenuse side opposite the right angle = 16·√46

The length of the leg adjacent to the reference angle ∠E = 8·√46

By trigonometric ratio, we have;

\(\dfrac{Adjacent\ leg \ length}{Hypotenuse \ length} = cos\angle E\)

Plugging in the values gives;

\(cos\angle E = \dfrac{8 \cdot \sqrt{46} }{16\cdot \sqrt{46} } = \dfrac{1}{2}\)

∴ m∠E = arccos(1/2)

Using a calculator or from tables or an online trigonometric ratio tool, we have

arccos(1/2) = 60°

∴ m∠E = arccos(1/2) = 60°.