You roll a fair 6-sided die.
What is P(roll less than 4)?
If necessary, round your answer to 2 decimal places.

Sarah has some evidence against the null hypothesis, but it is not strong.

The p-value of 0.072 indicates that Sarah has some evidence against the null hypothesis, but it is not strong enough to reject it completely. In hypothesis testing, the null hypothesis assumes that there is no relationship or dependence between the variables being tested. The alternative hypothesis, on the other hand, suggests that there is a relationship or dependence.

The p-value represents the probability of obtaining a test statistic as extreme as the one observed, assuming the null hypothesis is true. In this case, a p-value of 0.072 means that there is a 7.2% chance of obtaining a test statistic as extreme as the one observed, assuming that the variables are independent.

Typically, a p-value below a predetermined significance level (e.g., 0.05) is considered strong evidence against the null hypothesis. However, in this case, since the p-value is greater than the significance level, we do not have enough evidence to reject the null hypothesis.

Therefore, while Sarah's results provide some evidence against the null hypothesis, it is not strong enough to conclude that there is a significant relationship between the variables being tested. Further investigation or additional data may be required to draw stronger conclusions.

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Answer:

A=150(1+2)^4

Step-by-step explanation:

Look up the compound interest formula, this is how you solve the problem.

A=P(1+r/n)^(nt)

A=150(1+(300%-100%)/1)^(1)4

A=150(1+2)^4

A=12150

If you have any questions about the math please feel free to ask. Have a nice day.

A positive integer y is a whole number by definition, so we are essentially being asked how many positive integers there are. There are infinitely many positive integers, so the answer to the question is also infinity.

A positive integer y is a whole number if it isn't a bit or a numeric. In other words, it's a number that can be expressed without using  fragments or numbers, and can be written as a finite sum of positive integers. For  illustration, 2, 5, and 10 are whole  figures, but3/4,1.5, and √ 2 are not.   To determine how  numerous different values of y are whole  figures, we need to understand the  parcels of whole  figures.

Whole  figures have two main  parcels they're closed under addition and  addition. This means that when you add or multiply two whole  figures, the result is always a whole number. For  illustration, 2 3 =  5 and 2 × 3 =  6, both of which are whole  figures.   To find how  numerous different values of y are whole  figures, we can start with the  lowest possible value of y, which is 1.

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The null hypothesis is that at most 70% of people who eat fast food more than 2x a week are overweight, and the alternative hypothesis is that more than 70% of people who eat fast food more than 2x a week are overweight.

Null hypothesis is a statistical hypothesis that claims there is no significant difference between a specified population parameter and the observed sample statistics. While alternative hypothesis is a statistical hypothesis that suggests that there is a significant difference between a specified population parameter and the observed sample statistics.In the given scenario, the null hypothesis and the alternative hypothesis will be:

Null hypothesis (H0): At most 70% of people who eat fast food more than 2x a week are overweight. (This means less than 70% are overweight)Alternative hypothesis (Ha): More than 70% of people who eat fast food more than 2x a week are overweight.

:We can evaluate the null hypothesis by testing the probability of a sample occurring, assuming the null hypothesis is true. If the probability of a sample is very low, it implies that it is unlikely that the sample was obtained assuming that the null hypothesis was true, and we can reject the null hypothesis and accept the alternative hypothesis

.In conclusion, the null hypothesis is that at most 70% of people who eat fast food more than 2x a week are overweight, and the alternative hypothesis is that more than 70% of people who eat fast food more than 2x a week are overweight.

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The principal advantage of the Dodge-Romig tables is their simplicity. Therefore, the correct answer is D. simplicity.

The Dodge-Romig tables are statistical sampling tables used in quality control to determine the acceptance or rejection

of a production lot based on sample size and the number of defects found in the sample.

The principal advantage of the Dodge-Romig tables is their simplicity.

They provide a quick and easy method for determining the acceptability of a production lot, without the need for

extensive calculations or statistical knowledge.

This means that they can be used by personnel with limited training in quality control.

The principal advantage of the Dodge-Romig tables is their simplicity. While they can be used for receiving inspection,

their main benefit is in minimizing inspection time and effort by providing clear guidelines for lot sampling and

acceptance based on size and level of defects.

Additionally, their use can facilitate smaller lot sizes and more efficient quality control processes.

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False. The function, f(x) = 2x / x², is not a transcendental function

The given function, f(x) = 2x / x², is not a transcendental function. A transcendental function is a function that is not algebraic, meaning it cannot be expressed as a solution to a polynomial equation with integer coefficients. The given function is algebraic since it can be simplified to f(x) = 2 / x, which is a rational function and can be expressed as a ratio of polynomials. transcendental function, In mathematics, a function not expressible as a finite combination of the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extracting a root.

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The area of Triangle ABC is given by (1/2) times the product of the length of side BC (b) and the height (√2)

Area = (1/2) * b * √2

The area of Triangle ABC can be determined using the given information. Let's proceed with the calculations.

First, we need to find the length of side BC, denoted as b. We are given that the height to side BC is √2. In a right triangle, the height is perpendicular to the base, so side BC is the base of the triangle. Therefore, the length of side BC is equal to b.

Next, we can calculate the area of Triangle ABC using the formula for the area of a triangle:

Area = (1/2) * base * height

In this case, the base is side BC (b) and the height is √2. Substituting these values into the formula, we have:

Area = (1/2) * b * √2

Therefore, the area of Triangle ABC is given by (1/2) times the product of the length of side BC (b) and the height (√2):

Area = (1/2) * b * √2

Now, let's summarize the findings:

The area of Triangle ABC is (1/2) * b * √2, where b represents the length of side BC.

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The relationship between a statistic and a parameter is the same as the relationship between , Option(A) a sample and a population

The Population is defied as an entire group of individuals that we are interested in studying, while a sample is a subset of that population that we actually observe and collect data from.

A Parameter is defined as a numerical characteristic of a population, such as its mean or variance, whereas a statistic is a numerical characteristic of a sample, such as its sample mean or sample standard deviation.

The relationship between a sample and a population is similar to the relationship between a statistic and a parameter because a sample is used to estimate  information about the population, and a statistic is used to estimate  information about a parameter.

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The probability that the two chairpersons chosen are of the same gender is 9/36.  

Probability is a branch of mathematics that deals with the study of random events and their outcomes. It involves quantifying the likelihood of an event or outcome by assigning a numerical value between 0 and 1.

A probability of 0 means that the event is impossible, while a probability of 1 means that the event is certain.

Probabilities between 0 and 1 indicate the likelihood of the event occurring, with higher probabilities indicating a greater likelihood.

This can be calculated by looking at the number of possibilities when selecting two members from a group of nine (6 men, 3 women):

Total possibilities = 9C2 = 9!/(2!*7!) = 9*8/2 = 36

Ways of selecting two of the same gender = 6C2 + 3C2 = 6*5/2 + 3*2/2 = 15

Therefore, the probability of selecting two of the same gender is 15/36, which reduces to 9/36.

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Therefore, the polar form of the rectangular equation x = y² is: r = √(cos(θ) / sin²(θ))

In mathematics, an equation is a statement that shows the equality between two expressions. An equation typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The expressions on either side of the equal sign are called the left-hand side (LHS) and the right-hand side (RHS) of the equation.

Here,

To convert the rectangular equation x = y² to polar form, we need to replace x and y with their polar representations in terms of r and theta. Here's how to do it:

x = y²

r cos(θ) = (r sin(θ))² [replace x and y with r cos(θ) and r sin(θ)]

r cos(θ) = r² sin²(θ)

r² sin²(θ) - r cos(θ) = 0

r(r sin(θ))² = r cos(θ)

r² = cos(θ) / sin²(θ)

r = √(cos(θ) / sin²(θ))

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Answer:

83.5%

Step-by-step explanation:

200-33= 167

167/200=x/100

167/2= 83.5

about 83.5%

Plss brainliest

The total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.

Percentage decrease is the value which is deducted or reduced from the initial value in the percentage part.

The weight of the person is 200 pound. The person's weighs on the  moon is 33.​

The change in the weight of the person is the difference of weight of the person and weight of the person on moon. Thus the change in weight of the person is,

\(\Delta W=200-33\\\Delta W=167\)

The change in person's weight is 167 pounds and the original weight of the person is 200 pounds. Thus the percentage change is,

\(\Delta W=\dfrac{167}{200}\times100\\\Delta W=83.5\%\\\Delta W\approx84\%\)

Thus, the total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.

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Answer: 22 cm.

Step-by-step explanation:

Formula for area of trapezium: \(Area = \dfrac12 (\text{Sum of parallel sides})\times \text{(Distance between them)}\)

Given: Area = \(550\ cm^2\)

Length of parallel sides : 23 cm and 27 cm

Let h=distance beteen them.

then

\(550=\dfrac12 (23+27)(h)\\\\\Rightarrow\ 550=\dfrac12(50)h\\\\\Rightarrow\ 550=25h\\\\\Rightarrow\ h=\dfrac{550}{25}\\\\\Rightarrow\ h= 22\)

Hence, the distance between them  = 22 cm.

The answer to this question is less coping strategies.

What are coping strategies?

Coping strategies are ways through which an individual gains some control over their emotions

Yes research has proved that the   Younger adults use more coping strategies than Older adults because now a days so methods for coping strategies like Cigerrate, alcohol, drugs etc things are easily being available to them and they use that to overcome their emotions

where as older adults have already seen most of their life so they are less likely to use these things to overcome their emotions

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Answer:

1) 1/24

Step-by-step explanation:

Laslow washes 2 and a half car, or 2.5. We divided this by 60 as that is the number of minutes in an hour. By doing this we get how many cars Laslow can wash in a minute. So,

2.5/60 = 1/24

Answer:

Answer: B) 15/2

\({ \tt{7(2x - 5) - 2(2x - 5) = 4(x + 5)}} \\ \\ { \tt{(14x - 35) - (4x - 10) = (4x + 20)}} \\ \\ { \tt{14x - 35 - 4x + 10 = 4x + 20}} \\ \\ { \tt{(14 - 4 - 4)x = 20 + 35 - 10}} \\ \\ { \tt{6x = 45}} \\ \\ { \underline{ \underline{ \tt{ \: \: x = 7.5 \: = \frac{15}{2} \: \: }}}}\)

A principal amount of P 200,000 was deposited for a period of 4 years and 6 months, and it earned an interest of P 85,649.25. To find the rate of interest compounded monthly, we can use the formula for compound interest and solve for the interest rate.

The formula for compound interest is given by A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, we are given the principal amount P as P 200,000, the final amount A as P 285,649.25 (P 200,000 + P 85,649.25), the time t as 4 years and 6 months (or 4.5 years), and we need to find the interest rate r compounded monthly (n = 12).

Using the given values in the compound interest formula and solving for r, we can find the rate of interest. By rearranging the formula and substituting the known values, we can isolate the interest rate r and calculate its value.

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Given the integral ∫(-1 to 1) (1 - x^2) dx, the integral represents the volume of a solid of revolution.To understand this, let's consider the graph of the function f(x) = 1 - x^2. The integrand (1 - x^2) represents the height of each infinitesimally thin slice of the solid as we move along the x-axis.

When we integrate this function over the interval [-1, 1], we are summing up the volumes of all these infinitesimally thin slices. Each slice is perpendicular to the x-axis and has a circular cross-section.

By revolving this curve around the x-axis, we generate a solid that resembles a "bowl" or a "dome." The integral ∫(-1 to 1) (1 - x^2) dx calculates the total volume of this solid, which is the volume enclosed by the curve and the x-axis, between x = -1 and x = 1.

Therefore, the integral represents the volume of a solid of revolution.

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Answer:

(f+g)(x)=x²+2x-6

Step-by-step explanation:

(f+g)(x)=2x+1+x²-7

collect like terms

(f+g)(x)=x²+2x+1-7

according to mathematics x² is not a like term of 2x so don't add the them

(f+g)(x)= x²+2x-6

Answer:

According to the given statement Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides.

It means that if she rides a ferry, she pays

If she does not ride the ferry she won't pay

This shows that the paying depends on riding.

Thus riding is independent variable and cost is dependent....

-13578 is the correct information

To convert a fraction to a decimal, you must divide the numerator by the denominator. The correct option is c) Divide the numerator by the denominator.

How to convert a fraction to a decimal- To convert a fraction to a decimal, you can follow these simple steps: Divide the numerator by the denominator. Simplify the fraction if necessary. Write the fraction as a decimal.

Here is an example: Convert the fraction 3/4 to a decimal.  Divide the numerator by the denominator.3 ÷ 4 = 0.75

Simplify the fraction if necessary.3/4 is already in its simplest form.

Write the fraction as a decimal. The decimal equivalent of 3/4 is 0.75

Therefore, the correct option is c) Divide the numerator by the denominator.

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Answer:To solve this problem you would have to write 276.5 over 7.9 and divide the numerator and denominator by 7.9 since you want miles per gallon (it should have a denominator of 1 after you divide). When you do this you will get 35, so the Henry family got 35 miles per gallon of gas on the trip.

Step-by-step explanation:

It would be closest rounded to about 30.25/30.26. Would be better to know the radius rather than the circumference.

Answer:

Step-by-step explanation:

this is confusing b/c they are asking about two trains traveling at differnt speeds, but.. if you put the speeds together and make one train... imaginary.. ofc... traveling at the speed of both trains combined... when will it be 50 miles from the station?

maybe you can solve that?   I'll solve it below.. but.. if you can.. try it now, on your own

below is my answer... don't look until you have solved yours :P

80+70= 150kph

when will this have traveled 50Km?

you may be able to see that it will take 1/3 of an hour to travel 50 km

so 60 minutes times 1/3 = 20 minutes  :)

The side length of Figure A can be determined using the ratio of areas and the known side length of Figure B. The area of Figure A is 18 square feet and the area of Figure B is 98 square feet. The side length of Figure B is 14 feet. Using these values, the corresponding side length of Figure A can be calculated to be 7 feet.

The missing corresponding side length of Figure A can be determined using the ratio of areas and the known side length of Figure B. If two shapes are similar, then their corresponding sides are in the same ratio as their areas. Since the area of Figure A is 18 square feet and the area of Figure B is 98 square feet, the ratio of their areas is 18/98. Since the side length of Figure B is 14 feet, the corresponding side length of Figure A can be calculated by multiplying 14 feet by the ratio of 18/98, which is 0.1837. This value can be rounded to 7 feet. Therefore, the missing corresponding side length of Figure A is 7 feet. This result can be verified by calculating the area of Figure A using the known side length and the missing side length. If the two side lengths are multiplied together, the product should be equal to the area of Figure A, which is 18 square feet.

7 feet x 11 feet = 77 feet^2

77 feet^2 = 18 feet^2 (Area of Figure A)

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The length of the fabric which Brandon formed a rectangle, is 11 inches.

To find the length of the fabric, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the length of the fabric is one of the other two sides, and the diagonal cut is the hypotenuse. So, we can write the equation:

\(L^2 + 5^2 = 13^2\)

where L is the length of the fabric.

Solving for L, we get:

\(L^2 = 144 - 25 = 119, and L =\sqrt{119} = 11.\)

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Answer:

− 2 < x < 1

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

\(4\)

Step-by-step explanation:

Simplify the expression

=======================================================

Explanation:

The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.

Those angles add to the other angles to form a full 360 degree circle.

Let x be the measure of angle SPT and angle TPU.

86 + 154 + 60 + x + x = 360

300 + 2x = 360

2x = 360-300

2x = 60

x = 60/2

x = 30

Each red angle is 30 degrees.

Then,

angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)

angle SPQ = (30) + (30) + (86)

angle SPQ = 146 degrees

--------------

Another approach:

Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:

360 - 214 = 146 degrees