Calculate the volume of this cylinder, giving your answer to 1 decimal place.
14 cm ( diameter )
12 cm ( height )

Answer:

A subset is when all of the elements in the subset are in the actual set. A proper subset is a subset which the actual set has at least on more element than the proper subset.

Step-by-step explanation:

For example, Set A, {1,2,3} is a subset of B {1,2,3}. But Set C, {1,2} is a proper subset of B. Set {5,8} is a subset of {2,5,8}.

Answer:

probability of an electric power outage shipboard is 0.075 or 7.5 %

Step-by-step explanation:

Given the data in the question;

Probability of engine malfunction = 25% = 0.25

Probability of generator malfunction = 10% = 0.1  

Probability of generator being repaired = 50% = 0.5

probability of an electric power outage shipboard = ?

To get the probability of an electric power outage shipboard, we use the expression;

probability of an electric power outage = 2[tex]_c_1[/tex] × p( Probability of generator malfunction ) × p( Probability of generator being repaired ) × ( 1 - p( Probability of engine malfunction ) )

so we substitute in our given values;

probability of an electric power outage = 2 × 0.1 × 0.5 × ( 1 - 0.25 )

probability of an electric power outage = 2 × 0.1 × 0.5 × 0.75

probability of an electric power outage = 0.075 or 7.5 %

if functions  f(x) = 2x²-4x-6 and g(x)= 2x+7 then f(g(x)) is 8(x+2)(x+4)

A relation is a function if it has only One y-value for each x-value.

Given functions are f(x)= 2x²-4x-6

g(x)=2x+7

We need to find expression of f(g(x))

f(g(x))=f(2x+7)

Now replace x with 2x+7 in f(x)

f(2x+7)=2(2x+7)²-4(2x+7)-6

=2(4x²+49+28x)-8x-28-6

Apply distributive property

=8x²+98+56x-8x-28-6

Add the like terms

=8x²+48x+64

f(g(x))=8(x+2)(x+4)

Hence, if functions f(x) = 2x²-4x-6 and g(x)= 2x+7 then f(g(x)) is 8(x+2)(x+4)

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Answer:

-28(x + 2) = (y - 1)²

Step-by-step explanation:

..............

The equation (y + 1)² = -12(x - 2) represents the given parabola.

What is a parabola?

A parabola is a U-shaped plane curve. It is assumed to be mirror symmetrical. A parabola is produced by the intersection of a right circular cone and a plane parallel to the cone.

The vertex is at (-2, 1) and the directrix is x = 5.

Therefore, the vertex of the given parabola is at 2nd quadrant.

Again, the directrix is also parallel to the y-axis.

As a result, the parabola will open towards the left.

The general form of a parabola is (y - k)² = 4a(x - h)

Here, h and k are x and y coordinates respectively of the vertex.

Now, the coordinates of the focus are (h + a , k) and the directrix is at x = h − a.

Therefore, h - a = 5 (as, x =5)

⇒ 2 - a = 5

⇒ a = -3

Therefore, the equation of the parabola is (y − k)² = 4a(x − h)

⇒ [y - (-1)]² = 4(- 3)(x - 2)

⇒ (y + 1)² = -12(x - 2)

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

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There are 36 pieces in one case. The store has 90 loose storage units. The store manager requested an inventory count where 2.5 units would fill her 90 units.

Typically, this process involves the retailer (or team of employees) walking through the retailer's warehouse and storefront, counting each item. Information is captured manually using pen and paper or electronically using a mobile device.

Create a storage location map showing each shelf, bin, drawer, receiving dock, and return area. Place geographic divisions, not product lines, between each storage area. Let's start counting! After each counter completes a certain range, allow a manager or someone else to check the count.

90/36 = 2.5

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Answer:

maybe 10

if this is wrong then sorry

Answer:

1500006875

Step-by-step explanation:

Multiply 2 numbers at a time

Answer:

I think this is right

Step-by-step explanation:

Answer:

15*n=p

Step-by-step explanation:

Answer:

hope this helped

Step-by-step explanation:

Answer:

fart

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

The given two triangles are congruent , by SSS congruence condition , therefore the corresponding sides will be equal .

=> x - 4 = 19

=> x = 19 + 4

=> x = 23

Answer:

Yes, there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.

No ;

Step-by-step explanation:

n = 1000

x = 545

Phat = x / n = 545/1000 = 0.545

H0: p ≤ 0.5

H1: μ > 0.5

The test statistic :

(phat - p0) ÷ √(p(1 - P0) / n)

Test statistic :

(0.545 - 0.5) ÷ √(0.5(0.5) / 1000)

0.045 / 0.0158113

Test statistic = 2.846

α = 0.01

Decison :

Reject H0 ; if Pvalue < α

Using the Pvalue from Test statistic (Z) calculator :

Pvalue = 0.002214

With Pvalue < α ; We reject H0 and conclude that there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.

No, making generalization about all women would not be reasonable as the data employed for the research mainly focuses on a particular

Answer:

The state income tax to be paid will be $ 2,300.

Step-by-step explanation:

Given that an annual salary of $ 40,000 pays a state income tax of 5.75% of said value, to determine the total amount of tax to be paid, the following calculation must be made:

40,000 x 5.75 / 100 = X

230,000 / 100 = X

2,300 = X

Therefore, the state income tax to be paid will be $ 2,300.

The statement five less than four times a number is greater than or equal

to 3 indeed has a solution results to 2.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A statement five less than four times a number is greater than or equal to 3.

Let, The unknown number be 'n'.

Therefore, The numerical form of the statement is,

4n - 5 ≥ 3.

4n ≥ 8.

n ≥ 2.

So, Yes 2 is a solution.

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The two congruent segments in the figure are LJ and LI.

What is congruency?

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

An included angle is found between two sides that are under consideration.

Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.

In the figure, the two segments marked are LI and LJ these two segments are congruent to each other.

Congruency means the shape and the size of the segments will be equal to each other.

Hence, the two congruent segments in the figure are LJ and LI.

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Answer:

13. The mode is 265

14. The range is 42

15. The median is 250

16. The mean is 249

Answer:

$25.50

Step-by-step explanation:

85 X 0.3 (30%)=25.5

$25.50

Answer:

Step-by-step explanation:

sinD = opposite/hypotenuse = 12/15 = 4/5

cosD = adjacent/ hypotenuse = 9/15 = 3/5

sinE = opposite/hypotenuse = 9/15 = 3/5

cosE = adjacent/ hypotenuse = 12/15 = 4/5

Answer: 1653.8

Step-by-step explanation: Find the number in the tenth place  7  and look one place to the right for the rounding digit  8 . Round up if this number is greater than or equal to  5  and round down if it is less than  5.

904.32 is the volume.

Volume of sphere

= (4/3)πr³

= (4/3) × 3.14 × (6cm)³

= (4/3) × 3.14 × 6cm × 6cm × 6cm

= 4 × 3.14 × 2cm × 6cm × 6cm

= 904.32 cm³

Answer:

IT IS EASY FORMULAE OF SPHERE IS 4/3πr³ so,

Step-by-step explanation:

                                                    put the value,

                                              =   4/3 * 3.14 *  6³

                                              =  1.333 * 3.14 * 216

                                              =  4.18562 * 216

                                               =  904.09 cm³ ans

In the sample compound interest rate tables presented in your reading material, the first column on the left-hand side of each table shows you the number of periods. Option C

When interest is computed, it is done so on the initial principal as well as all of the accrued interest from prior periods.

The ability of compound interest is defined as producing "interest on interest."

Any frequency schedule, including continuous, daily, and yearly, can be used to compound interest.

Money increases more quickly when compounded.

Formula is given as :
[tex]A = P(1 + \frac{r}{n})^n^t[/tex]

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Answer:

Th (0,0)

the centre of dialation

Answer:

5x+9

Step-by-step explanation:

Answer:

I got 14

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

took da test

Answer: D

Step-by-step explanation: 25.12

Answer: The actual answer is (175.84 square inches)

Step-by-step explanation:

First, find the area of the pizza.

You need to use the formula for area of a circle: A = πr^2

or in words, the area of a circle is equal to pi times radius to the second power.

So find the radius which is half the diameter.

The diameter is 16 inches, so the radius is 8 inches.

Now raise 8 to the second power, meaning that you need to times 8 by 8

(8 * 8 = 64) Now you times 64 by pi or 3.14. (64 * 3.14 = 200.96)

That is the area of the entire pizza.

But you still need to find how many square inches are left after 1/8 is eaten.

If 1/8 is eaten, then that means the pizza is divided into eighths.

Take 200.96 and divided that by 8 to find how much the individual pieces are.

200.96/8 = 25.12

But you need to find what is left is the pizza, so times 25.12 by 7 because that is how many pieces are left. 25.12 * 7 = 175.84

Sorry for the long explanation, but here is proof that the answer is correct. I took the same test and got the answer right

Here is a photo from my test:

Have a good day

Elijah used 24 gigabytes memory on his cell.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Elijah used 3/4 of the memory on his cell phone memory card.

And, The memory card can hold 32 gigabytes.

Now,

Since, The memory card can hold 32 gigabytes.

And, She used 3/4 of the memory on his cell phone memory card.

Hence. The used memory = 3/4 of 32

                                         = 3/4 × 32

                                         = 3 × 8

                                          = 24 gigabytes

Thus, Elijah used 24 gigabytes memory on his cell.

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Answer:

5/2

Step-by-step explanation:

cscθ = 1/sinθ = 1/(2/5) = 1 x (5/2) = 5/2

We know,

[tex] \boxed{sin( \theta) = \frac{1}{csc( \theta)} }[/tex]

So,

=》

[tex] \dfrac{2}{5} = \dfrac{1}{ \csc( \theta) } [/tex]

=》

[tex] \csc( \theta) = \dfrac{5}{2} [/tex]