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Write the inequality that matches the situation. Amanda rented a bike from Shawna's Bikes. They charge $2 per hour, plus a $10 fee. Amanda paid less than $27.

The given value 4.1 x 10^-4 can be written in standard form as 0.00041

The standard form can be done by following the format of multiplying a *10^b where b is the power and a is the digit.

A number can be expressed in a fashion that adheres to specific standards by using its standard form. Standard form refers to any number that may be expressed as a decimal number between 1.0 and 10.0 when multiplied by a power of 10.

Hence 4.1 x 10^-4 = 0.00041

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Answer:

145

Step-by-step explanation:

Because what you want to do is add 260 to 182 then subtract from 587. I hope that helped! :)

Answer:

Step-by-step explanation: the second answer im not vary sure but ist kinda resonable

There are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.

In order to determine which treatment effects differ significantly from others, we need to make pairwise comparisons between all possible pairs of treatment groups. Let's consider an example with four treatment groups labeled A, B, C, and D.

To determine which treatment effects differ significantly from others, we need to compare the mean scores of each treatment group with the mean scores of every other treatment group. This means we need to make the following pairwise comparisons:

A vs B

A vs C

A vs D

B vs C

B vs D

C vs D

Therefore, there are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.

It's worth noting that when making multiple pairwise comparisons, there is an increased risk of making a Type I error (i.e., rejecting the null hypothesis when it is actually true) due to the multiple testing problem. To control for this, researchers may choose to adjust the significance level or use methods such as the Bonferroni correction to adjust the p-values of the individual tests.

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The Height of the Cone is 6 cm.

The shape's volume is equal to the product of its area and height. = Height x Base Area = Volume.

The formula for the volume of a cone is V=1/3hπr².

Volume of Cone= 1/3 πr²h

where r is the radius and h is the height.

Now, if V= 32π cm³ and r= 4 cm

Then, Volume of Cone = 1/3 πr²h

                            32π = 1/3 π(4)²h

                             32 = 1/3  (4)²h      

                               32= 1/3 (16)h

                               h/3 = 2

                              h= 6cm

Hence, the height is 6 cm.

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Answer:

The angle measures 71.6 degrees, and its complementary angle measures 18.4 degrees

Step-by-step explanation:

Let x be the measure of the angle, and y be the measure of its complementary angle.

We know that the sum of the measures of complementary angles is 90 degrees:

x + y = 90

We are also given that the angle x is 53.2 degrees more than its complementary angle y:

x = y + 53.2

Now we can substitute the second equation into the first equation to solve for y:

y + 53.2 + y = 90

2y + 53.2 = 90

2y = 36.8

y = 18.4

So the measure of the complementary angle is 18.4 degrees.

We can now use the second equation to find the measure of the angle x:

x = y + 53.2 = 18.4 + 53.2 = 71.6

So the measure of the angle is 71.6 degrees.

Therefore, the measures of the angle and its complementary angle are 71.6 degrees and 18.4 degrees, respectively.

The probability of the sum equaling 5 is 1/9

From the question, we have the following parameters that can be used in our computation:

Rolling two dice

When two dice are rolled, we have

Outcomes = 36

Sum of 5 = 4

using the above as a guide, we have the following:

P = Sum of 5/Outcomes

substitute the known values in the above equation, so, we have the following representation

P = 4/36

Evaluate

P = 1/9

Hence, the probability is 1/9

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At an angle of 270 degrees (or 3π/2 radians) on a circle with a radius of 2 and center at (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

To find the x and y coordinates at an angle of 270 degrees (or 3π/2 in radian measure) on a circle of radius 2 with center (0, 0), we can use the trigonometric definitions of sine and cosine.

The x-coordinate (x-value) represents the horizontal position on the circle, while the y-coordinate (y-value) represents the vertical position.

For a point on the unit circle (circle with radius 1) at a given angle θ, the x-coordinate is given by cos(θ) and the y-coordinate is given by sin(θ).

In this case, the circle has a radius of 2, so we need to multiply the cosine and sine values by 2 to get the x and y coordinates, respectively.

Using the angle 270 degrees (or 3π/2 in radian measure):

x-coordinate = 2 * cos(3π/2)

y-coordinate = 2 * sin(3π/2)

Evaluating these expressions:

x-coordinate = 2 * cos(3π/2) = 2 * 0 = 0

y-coordinate = 2 * sin(3π/2) = 2 * (-1) = -2

Therefore, at an angle of 270 degrees (or 3π/2 radians) on the circle of radius 2 with center (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

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The dragster, starting from rest and accelerating at 32 m/s², reaches a speed of 128 m/s after 4.0 seconds.

A dragster starting from rest means that its initial velocity is zero. The dragster's acceleration is given as 32 m/s². To determine the speed of the dragster after 4.0 seconds, we can use the equation of motion:

where:

v = final velocity

u = initial velocity (which is 0 m/s since the dragster starts from rest)

a = acceleration (32 m/\(s^2\) in this case)

t = time (4.0 seconds in this case)

Substituting the given values into the formula:

v = 0 + (32 m/\(s^2\))(4.0 s)

v = 0 + 128 m/s

v = 128 m/s

Therefore, the dragster is traveling at a speed of 128 m/s after 4.0 seconds of acceleration.

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The probability of passing the exam, given that the lowest passing grade is 6 correct out of 8, is approximately 0.1445 or 14.45%.

To find the probability of passing the exam if the lowest passing grade is 6 correct out of 8, we need to calculate the probability of getting 6, 7, or 8 questions correct.

In an 8-question true-false exam, there are 2 possible outcomes (true or false) for each question. Therefore, the total number of possible outcomes for answering 8 questions is 2^8 = 256.

To determine the number of ways to get exactly 6, 7, or 8 questions correct, we can use combinations. The number of ways to choose k items from a set of n items is given by the combination formula:

C(n, k) = n! / (k! * (n-k)!)

For 6 questions correct:

C(8, 6) = 8! / (6! * (8-6)!) = 28

For 7 questions correct:

C(8, 7) = 8! / (7! * (8-7)!) = 8

For 8 questions correct:

C(8, 8) = 8! / (8! * (8-8)!) = 1

Therefore, there are 28 + 8 + 1 = 37 ways to pass the exam (getting 6, 7, or 8 questions correct).

The probability of passing the exam is the ratio of the number of favorable outcomes (passing) to the total number of possible outcomes:

P(passing) = number of favorable outcomes / total number of possible outcomes

P(passing) = 37 / 256 ≈ 0.1445

So, the probability of passing the exam, given that the lowest passing grade is 6 correct out of 8, is approximately 0.1445 or 14.45%.

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The average daily rate is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the average daily rate is (option) $114.63.

The average daily rate is a measure of the average amount of money that a hotel is able to generate per room per day. It is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the total rooms' revenue was $75,884 and the total number of rooms sold was 662, which gives us an average daily rate of $114.63. This is a useful measure for hotels to gauge the performance of their business and to set pricing accordingly. It also helps hotels identify opportunities for increasing revenue, such as offering discounts or promotions to attract more customers.

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Answer:yes

Step-by-step explanation: 2/8=4

4/1=4 since both of them equal 4 they are equivalent

(A) the lake activity with a central angle of 39.6" is Wakeboarding.

(B) 2,100 people in attendance would prefer

ketchup on a hot dog.

How to find out which lake activity has a central angle ?

To find out which lake activity has a central angle of 39.6°, we need to calculate the total angle of the circle graph,

The total number of campers is 15+11+7+13+54= 100.

We need to use the following formula:

Central angle = (Number of campers for the activity/Total number of campers) × 360°

Using this formula, calculate the central angles for each activity:

Kayaking: (15/100) × 360° = 54°

Windsurfing: (7/100) × 360° 25.2"

Waterskiing: (13/100) × 360° 46.8"

Wakeboarding: (11/100) × 360° 39.6" = Paddleboarding: (54/100) × 360° = 194.4" Therefore, the lake activity with a central angle of 39.6" is Wakeboarding.

(b) To answer this question, we can use the concept of proportions. We know that out of 150 people surveyed, 63 prefer ketchup on their hot dog. We can set up a proportion:

63/150=x/5000

where x is the number of people in attendance who prefer ketchup on their hot dog. We can solve for x by cross-multiplying:

63 5000 = 150 × x

x= (63 5000)/150 2,100 =

Therefore, based on the data in this sample, we can estimate that 2,100 people in attendance would prefer ketchup on a hot dog.

The answer is 2,100.

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3(2x - 1) + 2(x + 5) = 47

6x - 3 + 2x + 10 = 47

6x + 2x = 47 + 3 - 10

8x = 40 / : 8

x = 5 ← the end

Answer:

x = 5

Step-by-step explanation:

\(3(2x - 1) + 2(x + 5) = 47\)

\(6x - 3 + 2(x + 5) = 47\)

\(6x - 3 + 2x + 10 = 47\)

\(8x - 3 + 10 = 47\)

\(8x + 7 = 47\)

\(8x = 47 - 7\)

\(8x = 40\)

\((8x \div 8 = 40 \div 8 = x = 40 \div 8 )\)

\(x = 5\)

Answer: It should be 470 cm^2

Step-by-step explanation:

We conclude that there is not enough evidence to suggest that there is a significant difference among the mean meal prices for italian, seafood, and steakhouse restaurants.

to test whether there is a significant difference among the mean meal prices for italian, seafood, and steakhouse restaurants, we can use an analysis of variance (anova) test. the null hypothesis is that there is no significant difference among the means, while the alternative hypothesis is that there is a significant difference among the means.here are the steps to conduct the anova test:1. calculate the sample means for each category of restaurants:- italian: (12 + 16 + 24 + 13 + 18 + 19 + 15 + 17) / 8 = 17.25- seafood: (23 + 21 + 20 + 15 + 22 + 17 + 19 + 27) / 8 = 20.75

- steakhouse: (18 + 31 + 24 + 18) / 4 = 22.752. calculate the overall mean:(12 + 16 + 24 + 13 + 18 + 19 + 15 + 17 + 23 + 17 + 26 + 25 + 18 + 23 + 21 + 20 + 15 + 22 + 17 + 19 + 27 + 24 + 18 + 31) / 24 = 20.3753. calculate the sum of squares between groups (ssb):

ssb = 8 x (17.25 - 20.375)² + 8 x (20.75 - 20.375)² + 4 x (22.75 - 20.375)²    = 38.54. calculate the sum of squares within groups (ssw):ssw = (12 - 17.25)² + (16 - 17.25)² + ... + (18 - 22.75)² + (31 - 22.75)²    = 598.5

5. calculate the degrees of freedom for between groups (dfb):dfb = k - 1 = 3 - 1 = 26. calculate the degrees of freedom for within groups (dfw):dfw = n - k = 24 - 3 = 21

7. calculate the mean square between groups (msb):msb = ssb / dfb = 38.5 / 2 = 19.258. calculate the mean square within groups (msw):msw = ssw / dfw = 598.5 / 21 = 28.5

9. calculate the f-statistic:f = msb / msw = 19.25 / 28.5 = 0.6810. look up the critical f-value from an f-distribution table with dfb = 2 and dfw = 21 and a significance level of 0.05. the critical f-value is 3.10.

11. compare the f-statistic to the critical f-value. since the f-statistic (0.68) is smaller than the critical f-value (3.10), we fail to reject the null hypothesis. the test   statistics    value from our analysis is f = 0.68.

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Answer:

$0.56, or 56¢.

Step-by-step explanation:

According to the picture, there are two dimes, two nickels, a penny, and a quarter.

A penny is worth $0.01.

A nickel is worth $0.05.

A dime is worth $0.10.

A quarter is worth $0.25.

2(0.1) + 2(0.05) + (0.01) + (0.25) = 0.2 + 0.1 + 0.01 + 0.25 = 0.3 + 0.26 = 0.56.

So, Vivian is using $0.56, or 56¢, to buy a toy. That's a cheap one!

Hope this helps!

The amount of yellow paint Curt and Melanie should use is 0.45 quarts so that they can make 1.5 quarts bucket of seafoam green paint.We can use per cent equation.

Given that to make 1.5 quarts bucket of seafoam green paint Curt and Melanie have to mix 70 parts blue paint and 30 parts yellow paint.If 100 percent represent total paint then for 1.5 quarts we have to find the proportion of yellow paint.Let it be x.

30%  / 100% =30 / 100 = x / 1.5 quarts.

We can reduce the equation further,

0.3  = x / 1.5.

0.3 * 1.5 = x

x = 0.45

We can also find blue paint proportion similar by substituting 30 per cent to 70 per cent.

As a result of our calculation, we found the amount of yellow paint to be 0.45 quarts.

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The height that describes how tall the tree is is 37.5 feet.

To determine how tall the tree is, we need to apply the proportion formula to arrive at the right answer. We express the values this way:

\(\frac{x}{75} = \frac{50}{30}\)

Now we cross multiply to have

30x = 1125

x = 1125/30

= 37.5

So, the length of the tree is 37.5 feet.

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Answer:

Step-by-step explanation:

An equation of the line that passes through the point (−4,8) and is parallel to the line x+y=6 could be y = - x + 4 .What is the Point-slope form?The equation of the straight line has its slope and given point.If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equationy-y₁ = m(x-x₁)Which is the required equation of a line in a point-slope form.WE havex + y = 6y = - x + 6Slope= -1Now, Use the same slope since the two lines are parallel to each other.Point-slope formula:y - 8 = -1 (x - - 4)y - 8 = -1 (x + 4)y - 8 + 8 = -x - 4 + 8y = - x + 4 (Slope-intercept form)Hence, an equation of the line that passes through the point (−4,8) and is parallel to the line x+y=6 could be y = - x + 4 .Learn more about slope here: brainly.com/question/2503591#SPJ2

⇒Parallel lines have equal gradients . It means that to obtain the gradient of the new equation we should first find the gradient of the given equation by writing the given equation in the form y=mx+c

\(x-y=6\\y=x-6\)

⇒The gradient of the given equation is 1 as we know that the gradient of the equation is the coefficient of the variable x

This means the equation of the new equation is also going to be 1 since I explained above why.   to find the value of c in the new equation we will substitute the known values in the general equation including the point.

\(5=1(-1)+c\\6=-1+c\\c=5+1\\c=6\)

This means that the new equation is going to be:

\(y=x+6\)

Answer:

x= 2 y= -2

(2, -2)I hope this helps you!

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Answer:

The rational number includes only those decimals, which are finite and repeating.

Step-by-step explanation:

Rational Number is defined as the number which can be written in a ratio of two integers in the form a/b where a,b are integers and b≠ 0, while an irrational number is a number which cannot be expressed in a ratio of two integers (that is it cannot be expressed as fraction in the form a/b).

The rational numbers are numbers whose decimal expansion are finite and repeating, while irrational numbers include those numbers whose decimal expansion is infinite, non-repetitive and shows no pattern e.g. π.

H0 says that the population means are equal.

In the context of a hypothesis test for the difference of means between two independent populations (x1 and x2), the null hypothesis (H0) states the following about the relationship between the two population means:
H0 says that the population means are equal.
In other words, the null hypothesis assumes that there is no significant difference between the means of the two populations. The alternative hypothesis would then state that the population means are different. Remember that hypothesis testing is a process to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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The right answer is a i think i don't known step by step

Step-by-step explanation:

a

a