A part manufactured at a factory is known to be 12.05 cm long on average, with a standard deviation of 0.119. One day you suspect that that the part is coming out a little longer than usual, but with the same deviation. You sample 19 at random and find an average length of 12.25. What is the z-score which would be used to test the hypothesis that the part is coming out longer than usual?

The radius of the cylinder, given that cylinder has a volume of 64π cm³, is 4 cm

The radius and the height of the cylinder can be obtained as illustrated below:

The volume of a cylinder is given as

Volume (V) = πr²h

But,

Height (h) = radius (r),

Thus, we have

Volume (V) = πr² × r

Volume (V) = πr³

Inputting the given parameters, we can obtain the radius as follow:

64π =  πr³

Divide both sides by  π

r³ = 64π / π

r³ = 64

Take the cube root of both sides

r = ³√64

r = 4 cm

Thus, we can conclude from the above calculation that the radius of the cylinder is 4 cm

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Answer:

$10.50

Step-by-step explanation:

If 2 pounds of peaches costs $4.20 then you would divide by 2 to find how much 1 pound costs. After I divided I got $2.10. $8.40 is 4 pounds. If we add one more we get 5. So add $2.10 to $8.40 and you get $10.50. Hope this helps! <3

Answer here you go

Step-by-step explanation:

(-3 x 6 = -18)

6 x -18= -108

multiplication with postive and gegitives rule of thumb

negative times a positive equals a negative

negitive times a negative equals a positive

Answer:

x = 1/2

y = 1/3

Step-by-step explanation:

6x – 3y = 2 (Multiply this by -3)

2x – 9y = -2

-18x + 9y = -6

2x – 9y = -2

-16x = -8

x = 1/2

2x – 9y = -2

2(1/2) - 9y = -2

1 - 9y = -2

-9y = -3

y = 1/3

Answer:

2/5

Step-by-step explanation:

Answer:

7.5 kg

Step-by-step explanation:

Ratio of sand to cement = 24kg : 5kg

Today he needs to make the same type of mortar mix, but he will use 36kg of sand.

Let

x = quantity of cement used

Ratio of sand to cement = 36 kg : x kg

Equate both ratios

24 kg : 5 kg = 36 kg : x kg

24/5 = 36/x

Cross product

24 * x = 5 * 36

24x = 180

x = 180/24

x = 7.5

x = quantity of cement used = 7.5 kg

For the second before last f(f), you have to replace x with the function f(x).

For the last one you have to replace x with the function g(x)

Answer:

6

Step-by-step explanation:

5

Answer:

k = 10

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

2x(2x + kx) = 3x(3x + 5x)

4x² + 2kx² = 3x × 8x = 24x² ( subtract 4x² from both sides )

2kx² = 20x² ( divide both sides by 2x² )

k = 10

Answer

At least 5 laps

Step-by-step explanation:

Divide by 8 on both sides

Answer:

AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.

The hypotenuse is the longest side of the triangle. Side AC of the triangle is its hypotenuse, thus greater than BC (segment and angle theorem of a triangle).

A triangle is a shape with three side and angles. Its longest side is referred to as hypotenuse. And this side is usually opposite to the greatest angle. Examples of triangle include: equilateral, isosceles, acute, right angles, obtuse angle etc.

The given question shows that triangle ACB is a right angled triangle. This is because <CBY = \(90^{o}\).

So that;

<CBY + <CBA = \(180^{o}\)

Now comparing side AC with BC:

The segment and angle theorem of a triangle states that: the longest side of a triangle is always opposite to the greatest angle.

Thus, since <CBA is the greatest of the angles here, then AC is the longest side.

Therefore, the side AC is the hypotenuse of the triangle and it is greater than BC.

A sketch to this question is attached to this answer for more clarifications.

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The statement "Photographers should double check that your camera is assigning the Adobe RGB profile to your file rather than sRGB for better color quality" is False.

Photographers should double check that their camera is assigning the appropriate color profile based on their intended output and workflow. The choice between Adobe RGB and sRGB depends on various factors such as the final output medium (print or web), color gamut requirements, and post-processing preferences. Adobe RGB has a wider color gamut than sRGB, making it suitable for high-quality prints and professional workflows.

On the other hand, sRGB is a standard color space used for web and general-purpose applications to ensure consistent color display across devices. It is essential for photographers to understand the color profiles and choose the one that best suits their specific needs.

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Therefore, you have 25 dogs at the shelter.

Answer:

25

Step-by-step explanation:

We can take our ratio of 3:5 and multiply it by 5 to give us the number of cats we have. We get 15:25. Meaning we have 25 dogs.

Answer:

C

Step-by-step explanation:

807 is equal to 800 + 7, and 24 is equal to 20 + 4. Using the distributive property, we get 20(800) + 4(800) + 20(7) + 20(7)

Answer:

C

Step-by-step explanation:

Because 24*807 in distributive property is C

Answer:

Step-by-step explanation:

Answer: Last one

Step-by-step explanation:

Hello! :)

\(\large\boxed{q = -3.4}\)

-13(q + 4) = 7q + 16

Distribute the coefficient outside of the parenthesis:

-13(q) - 13(4) = 7q + 16

Simplify:

-13q - 52 = 7q + 16

Isolate for q by subtracting 7q from both sides:

-13q - 7q - 52 = 7q - 7q + 16

-20q - 52 = 16

Add 52 to both sides:

-20q - 52 + 52 = 16 + 52

-20q = 68

Divide both sides by -20:

-20q / (-20) = 68 / (-20)

q = -3.4

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______________________

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➤ How to solve ?

⠀⠀⠀⠀

That's quite easy but you need to recall the BODMAS rule .

⠀⠀⠀⠀

BODMAS rule states the correct sequence to solve an equation . First we need to solve the bracket part then solve if any of is present moving further to division then multiplication carrying with addition atlast subtraction

⠀⠀⠀⠀

In this equation we will solve the bracket then we will apply further BODMAS rule

⠀⠀⠀⠀

━━━━━━━━━━━━━━━━━

➠ - 13 ( q + 4 ) = 7q + 16

➠ -13q - 52 = 7q + 16

Now, we will bring the variable on left hand side and constants on right hand side

➠ -13q - 7q = 52 + 16

➠ -20q = 68

➠ q = 68/ -20

➠ q = 34/-10

As we have 10 in the denominator we can directly put the decimal .

➠ q = -3.4

∴ The value of q is - 3.4.

━━━━━━━━━━━━━━━━━

Answer:

Number of males = 6

Number of females = 18

Step-by-step explanation:

Total friends kalyn invited to her party = 24

The number of female friends was 6 more than twice the number of her male friends.

Let

Number of male friends at the party = x

Number of female friends at the party = 2x + 6

Equations that can be used to find the number of male and female friends

Total people at the party = Number of male friends + Number of female friends

24 = x + (2x+6)

24 = x + 2x + 6

Subtract 6 from both sides

24 - 6 = x + 2x + 6 - 6

18 = x + 2x

18 = 3x

Divide both sides by 3

x = 18 / 3

= 6

x = 6

Number of males = 6

Number of females = 2x + 6

= 2(6) + 6

= 12 + 6

= 18

Total people at the party= 6 + 18

= 24

Answer:

The right option is option e.T-shaped.

Step-by-step explanation:

The molecular geometry or shape of clf3 is T-shaped. It acquires such shape because of presence of two lone pairs which take equatorial position and there are greater repulsions. The hybridisation is sp3d and it has 2 lone pairs

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Option e) T-shaped

The shape or molecular geometry  of ClF₃ is T-shaped. It acquires such a shape due to the presence of two lone pairs in the equatorial position and has greater repulsion. The hybrid is sp³d and it has 2 lone pairs.

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Answer:

x^2+y^2-32x+24y+375=0

Step-by-step explanation:

Equation of circle with given centre (h,k) and radius=r is

(x-h)^2+(y-k)^2=r^2

Given centre are=(16, - 12) and radius= 5

So equation of circle=

(x-16)^2+(y- -12)^2=5^2

x^2-32x+256+y^2+24y+144=25

x^2+y^2-32x+24y+375=0

Answer

Answer:

C or x+16= 31

Step-by-step explanation:

The  NPV of the project is $331,085.70. Since the NPV is positive, the project should be undertaken as it creates value for the company.

To calculate the NPV of the project, we need to estimate the cash flows generated by the project and discount them back to their present value using the required return of 11 percent.

The annual cash inflows generated by the project are the annual sales of $2,590,000 minus the annual costs of $1,610,000, which equals $980,000. We can calculate the annual depreciation expense as the initial fixed asset investment of $2,350,000 divided by the three-year tax life, which equals $783,333 per year.

Using the straight-line depreciation method, the fixed asset will have a book value of $1,566,667 (i.e., $2,350,000 - $783,333) at the end of year 3, which is equal to its estimated salvage value. Therefore, the after-tax salvage value is:

($1,566,667 - $0) x (1 - 0.21) = $1,235,000

Now we can calculate the annual after-tax cash flows:

Year 1: $980,000 - $301,667 = $678,333
Year 2: $980,000 - $301,667 = $678,333
Year 3: $980,000 - $301,667 + $1,235,000 = $1,913,333

where $301,667 is the annual depreciation expense.

To calculate the NPV, we need to discount these cash flows back to their present value at the required return of 11 percent. Using a financial calculator or spreadsheet software, we find that the NPV of the project is:

NPV = -$2,350,000 + $678,333/(1+0.11)^1 + $678,333/(1+0.11)^2 + $1,913,333/(1+0.11)^3 = $331,085.70

Therefore, the NPV of the project is $331,085.70. Since the NPV is positive, the project should be undertaken as it creates value for the company.

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Maria's average quiz score is 9.6.

B. The standard deviation of her quizzes is approximately 0.5 (rounded to the nearest tenth).

(a) The average of Maria's quizzes can be found by adding up all her scores and dividing by the total number of quizzes:

Average = (10 + 9 + 10 + 9 + 10) / 5 = 9.6

Therefore, Maria's average quiz score is 9.6.

(b) To calculate the standard deviation of her quizzes, we first need to find the variance. We can do this by finding the average of the squared differences between each score and the mean:

[(10 - 9.6)² + (9 - 9.6)² + (10 - 9.6)² + (9 - 9.6)² + (10 - 9.6)²] / 5 = 0.24

So the variance is 0.24. To find the standard deviation, we take the square root of the variance:

√0.24 ≈ 0.5

So the standard deviation of her quizzes is approximately 0.5 (rounded to the nearest tenth).

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Step-by-step explanation:

Sum of angles in a triangle is 180°

So,

x + 44° + 53° = 180°

x + 97° = 180°

x = 180° - 97°

x = 83°

Answer:

x+44+53=180

Step-by-step explanation:

x+44+53=180

44+53=97

180-97=83

Answer: B: 113.04cm^2

Step-by-step explanation:

Answer:

Equation of the  parabola    x² = -12.56 y

Step-by-step explanation:

Explanation:-

Given Y- intercept ( 0, -3.14)

Given Focus is ( 0 , -a) = ( 0, -3.14)

So  a = 3.14 center C(0,0)

The graph of the parabola is downwards and the axis of the parabola is Y-axis.

Equation of the standard parabola    x² = -4 a y

                                                              x² = -4 (3.14) y

                                                              x² = -  12.56 y

Conclusion:-

Equation of the  parabola    x² = -12.56 y

Answer:

B is your answeer

Step-by-step explanation:

GL hope i helped<333!!

Answer:

The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.

Step-by-step explanation:

Answer:

Where is the rest of the question

Step-by-step explanation: