A company is designing a new cylindrical water bottle. The volume of the bottle will be 150 cm^3. The height of the water bottle is 8.9 cm. What is the radius of the water​ bottle? Use 3.14 for π.

The value of the score that was removed is 15.

We have,

To find the value of the score that was removed, we can use the formula for the mean (average):

Mean = Sum of scores / Number of scores

Initially, the population of 10 scores has a mean of µ = 6.

Therefore, the sum of the 10 scores is 10 x 6 = 60.

After one score is removed, the mean becomes µ = 5.

The number of scores is now 10 - 1 = 9.

The new sum of the 9 scores is 9 * 5 = 45.

To find the value of the score that was removed, we can subtract the new sum from the initial sum:

Value of removed score = Initial sum - New sum

= 60 - 45

= 15

Therefore,

The value of the score that was removed is 15.

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the correct answer is c. find an assignable cause.When a control chart shows seven data points in a row on one side of the mean, it is an indication of a potential issue with the process being monitored.

This pattern is known as the "rule of seven" and should not be ignored.

The appropriate action to take would be to investigate the potential assignable causes for this pattern. This could involve analyzing the data to identify any factors that may have contributed to the pattern, such as changes in the process or equipment, or variations in the input materials. Once the assignable cause has been identified, appropriate corrective action can be taken to address the issue and bring the process back into control.

Performing a design of experiments or adjusting the chart to reflect the new mean would not be appropriate responses to this pattern, as these actions do not address the underlying cause of the issue. Therefore, the correct answer is c. find an assignable cause.

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Answer:

\(735 = 3 \times 5 \times {7}^{2} \)

Step-by-step explanation:

\(735 = 7 \times 105\)

\(735 = 7 \times 3 \times 35\)

\(735 = 7 \times 3 \times 5 \times 7\)

\(735 = 3 \times 5 \times {7}^{2} \)

The evaluated result of the given number is 1/625 and not the 840 Thus the evaluated value of the Rashad is not correct, because he multiplied the exponent by the base.

Power rule of exponents states that, when the two numbers with same base are multiplied then the exponents of both the numbers added.

Positive power of the negative number gives the positive result.

Given information-

The number which is evaluated by the Rashad is,

\((\dfrac{-2}{10})^4\)

Let the evaluated result of the number is n. Thus,

\(n=(\dfrac{-2}{10})^4\)

As the power is out of the bracket. This indicates that the power is for both numerator and denominator. Thus,

\(n=\dfrac{(-2)^4}{10^4}\)

Positive power of the negative number gives the positive result. Thus the above equation can be written as,

\(n=\dfrac{2\times2\times2\times2}{10\times10\times10\times10}\)

\(n=\dfrac{1}{625}\)

As the evaluated result of the given number is 1/625 and not the 840 Thus the evaluated value of the Rashad is not correct, because he multiplied the exponent by the base.

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Answer:

No, he multiplied the exponent by the base.

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

If you treat this as a ratio, it would be 3 vowels to every 7 tiles. If one value in the ratio is multiplied by a number, the other should be multiplied by the same number. So if there are 105 tiles, the 7 in the ratio was multiplied by 15. Multiply the other value, 3, by the same number and you get 45.

Total cost in dollars of the meal, tax and tips is $18.75

Tips are bonus or extra payment that a customer wants to pay to the counter of restaurant or to certain workers to express the gratitude toward their hospitality. How much money will be paid is determined by the customer himself.

given, cost of meal = $15 before tax and tip

After that $7% tax and $18% tip are included upon the cost of meal

Now, cost for tax = $ (7/100 × 15) = $1.05

cost for tip = $ (18/100 × 15) =$2.7

Total cost for meal, tax and tips = cost for meal + cost for tax + cost for tip

 Total cost = $18.75

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Answer:

Multiply 1st equation by -4

Step-by-step explanation:

Multiply the 1stequation by-4

-20x+8y=-44. Leave 2nd equation

8x-8y=-16

See how the 8y cancels with -8y

Answer:

1/2bh

Step-by-step explanation:

graph has base and height

also triangle have base and height

Bryce Harper's slugging percentage is 0.462

Given that Bryce Harper (Philadelphia Phillies) has: 409 at-bats, 102 hits, 53 singles, 30 doubles, zero triples, and 19 home runs.

To calculate the Slugging percentage we use the formula for slugging percentage.

The formula is: (1B + 2(2B) + 3(3B) + 4(HR)) / AB

Where: 1B = singles

2B = doubles

3B = triples

HR = home runs

AB = at-bats

Now, let us calculate the Slugging percentage of Bryce Harper (Philadelphia Phillies) using the above formula.

(53 + 2 * 30 + 0 * 3 + 4 * 19) / 409= (53 + 60 + 0 + 76) / 409= 189 / 409= 0.4618037

Bryce Harper's slugging percentage (rounded to the thousandth place) is 0.462.

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In exercise 4.30 on page 271, the significance level (1%, 5%, or 10%) that makes the most sense depends on the specific situation described in each case.

The choice of significance level (1%, 5%, or 10%) in hypothesis testing depends on the desired level of confidence and the consequences of making a Type I error (rejecting a true null hypothesis). In each situation, we need to consider the specific context and the potential impact of the claim.

For example, if the company wants to advertise that its milled flaxseed contains at least 3800 mg of alna per tablespoon, and it is crucial to ensure the accuracy of this claim, a lower significance level such as 1% might be appropriate. This would provide a higher level of confidence before concluding that the claim is supported.

On the other hand, if the consequence of making a Type I error is less severe and a slightly looser criterion is acceptable, a significance level of 5% or 10% may be sufficient. These higher significance levels allow for a greater chance of observing an effect that is not truly present.

Ultimately, the choice of significance level depends on the specific circumstances, including the importance of the claim, the consequences of making a Type I error, and the desired level of confidence.

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Answer:

x = 15/\(\sqrt{3}\) and y = 30/\(\sqrt{3}\)

Step-by-step explanation:

I just used this trick I remembered from Honors Geometry. I am now in Honors Algebra II w/ Trig. So this trick is what is used for 30-60-90 special right triangles

Answer:

D. 6 feet

Step-by-step explanation:

The volume of a rectangular prism can be found by using L * W * H, or B * H

-> The length (L) times the width (W) is equal to the base (B)

V = B * H

528 = 88H

6 = H

Answer:

HELLO CARA IT'S ME CONNIE, I MISS U SO MUCH!! <33

the radius of the circle is 30 cm when the circumference is 188.4 . The length of the boundary is its circumference.

A boy has traveled a certain distance if, after sprinting around the park once, he arrives at point "A" from point "A" in the first place. The park's circumference, which has the shape of a circle, is the length or border that it encompasses. The length of the boundary is its circumference.

calculation

Circumference=2πr

188.4=2×3.14×r

188.4=6.28×r

r= 188.4/6.28

radius=30cm

the radius of circle is 30 cm when the circumference is 188.4 .

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Answer:

A. 0

General Formulas and Concepts:

Perpendicular Lines always have 1 solution.

Parallel Lines always have no solution.

Same Lines always have infinite amount of solutions.

Step-by-step explanation:

We see from the graph given that the 2 lines are parallel. Since they are parallel, they will never intersect.

Therefore, we would have no solution, or 0 solutions, as our answer.

There are actually two correct answers, one of them is y-4=-0.5(x-4)

First of all, the slope-intercept that can be derived from the points (-4,8) and (4,4) is y=\(-\frac{x}{2} +6\), with -0.5 being the slope. To bring this to point-slope form, you must signify the slope and the coordinate intersection. Since there are two coordinates, there are actually two point-slope equations.

Answer:

-6(a+8) simplified using distributive property would equal -6a+-120

Step-by-step explanation:

a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.

b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.

c) Player 1 has infinitely many strategies.

d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.

e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.

Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.

Finding Nash Equilibrium

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Answer:

5³

Step-by-step explanation:

kira rides = 5 miles

cory rides = 5 * 5

tina rides : 5 * 5 * 5

therefore tina rides = 5³

Answer:

The answer would be 5 with 3.

Step-by-step explanation:

Answer:

2/25 of the dogs.

Step-by-step explanation:

Two of the dogs are fed only dry food, and there are 25 dogs, so the answer is 2/25.

The experimental probability of rolling a 1 or a 2 is 0.2.

Hence, Option A is correct.

We know that,

The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.

In this case,

The event is rolling a 1 or a 3,

Which occurred ⇒  3 + 1

                           = 4 times.

Given that there are total number of trials = 20.

Therefore,

The experimental probability of rolling a 1 or a 3 = 4/20,

                                                                                = 1/5

                                                                                 = 0.2

Hence, the required probability is 0.2.

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The complete question is:

Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?

Number on cube:1,2,3,4,5,6

Number of times event occurs:3,6,1,5,3,2

A.0.2

B.0.3

C.0.6

D.0.83

Step-by-step explanation:

Price of a book costing sh.250

reduced to sh.200

percentage decrease on the price = (250-200)/250×100

= 20%

The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.

Substitute x = 0 into the function T(x):

T(0) = -19 + 39e^(-0.45*0).

Simplify the expression:

T(0) = -19 + 39e^0.

Since e^0 equals 1, the expression simplifies to:

T(0) = -19 + 39.

Calculate the sum:

T(0) = 20.

Therefore, the initial temperature of the soda is 20 degrees Celsius.

To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):

Substitute x = 20 into the function T(x):

T(20) = -19 + 39e^(-0.45*20).

Simplify the expression:

T(20) = -19 + 39e^(-9).

Use a calculator to evaluate the exponential term:

T(20) = -19 + 39 * 0.00012341.

Calculate the sum:

T(20) ≈ -19 + 0.00480599.

Round the answer to the nearest degree:

T(20) ≈ -19 + 1.

Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.

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INCOMPLETE QUESTION

A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.

Answer:

it is 2 feet per second

Step-by-step explanation:

Answer:

2 ft per sec.

Step-by-step explanation:

the distance between 3 and 5 is 2

7-5=2, 9-7=2, 11-9=2 if all are the same, then that shows the answer is a 2 ft per sec rate of change

Answer:

Given two right triangle legs

Use the Pythagorean theorem to calculate the hypotenuse from the right triangle sides. Take a square root of sum of squares: c = √(a² + b²)

Step-by-step explanation:

The hypotenuse can be discovered using Pythagoras' Theorem.

The definition of "the longest side of a right triangle" is simply "hypotenuse." The triangle's hypotenuse is the side that faces away from the right angle. It is also the triangle's longest side.

The Pythagorean theorem is formalized mathematically via the hypotenuse formula. It states that the square of the length of the hypotenuse c is equal to the sum of the squares of the lengths of the shorter two sides of the triangle, a and b: a2+b2=c2.

The 3:4:5 triangle is the only way to know for sure if an angle is 90 degrees. According to this rule, a triangle cannot be a right triangle if one side of the triangle measures 3 and the other side measures 4 and the diagonal connecting those two locations does not measure 5.

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Answer:

The shorter side of pentagon is 6cm long

Step-by-step explanation:

Given two equations are:

\(y = x + 2\\2x + 3y = 36\)

We can use any one of the methods to solve the simultaneous linear equations

As it is also given that x is the length of shorter side, we have to find the value of x

Using the substitution method

We will put the value of y i.e. x+2 in the 2nd equation

So,

\(2x+3(x+2) = 36\)

Simplification gives us:

\(2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\x = \frac{30}{5}\\x =6\)

Hence,

The shorter side of pentagon is 6cm long

Answer:

5x^3+15x^2-35x

Step-by-step explanation:

Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!

The equation that represents the graph is y equals negative three halves times x minus 3, and option A is correct.

The ratio of the change in y coordinate to the change in x coordinate is known as a line's slope.

y and x, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate.

Consequently, the connection between a change in y-coordinate and a change in x-coordinate

Given a graph,

from the graph, we find that when y is 0, x = -2

and when x is o, y = -3

so the line passes from (-2, 0) and (0, -3)

the slope of the line is (y₂-y₁)/(x₂-x₁)

m = (-3 - 0)/(0 - 2)

m = -3/2

and the y-intercept is -3

equation of line is y = mx + c

y = -3x/2 - 3

which is y equals negative three halves times x minus 3.

Hence option A is correct for the equation of the line,

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Answer:D

Step-by-step explanation:D