Solve the following:

four and seven twelfths plus six and nine twelfths

[tex]30 + 2 \sqrt{3} cubic \: units[/tex]

This the answer

Answer:

5sqrt3

Step-by-step explanation:

Know that area of a Equilateral triangle is

[tex] \frac{ \sqrt{ 3} }{4} {a}^{2} [/tex]

where as a is the side of it.

so area of the triangle in the base of the prism is

[tex] \frac{ \sqrt{ 3} }{4} \times {2}^{2} = \sqrt{3} [/tex]

so the volume will be

[tex]area \: of \: the \: base \: of \: the \: prism \: \times the \: length \: of \: it = 5 \sqrt{3} [/tex]

Using the binomial distribution, it is found that there is a 0.0116 = 1.16% probability that exactly 4 out of the first 14 customers buy a magazine.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that exactly 4 out of the first 14 customers buy a magazine is P(X = 4), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{14,4}.(0.07)^{4}.(0.93)^{10} = 0.0116[/tex]

0.0116 = 1.16% probability that exactly 4 out of the first 14 customers buy a magazine.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

D

Step-by-step explanation:

You want to make sure your coefficients in the first equation are 0.25 and 0.05 and add up to the total price. (3.65)

You want to make sure you have an equation that models the amount of coins, which was said to be 20 coins.

Answer:

Its .8 or #4.

Step-by-step explanation:

Answer:

Triangle

Step-by-step explanation:

Using the combination formula, it is found that there are 37,044 ways to form the soccer team.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

Since they are independent of each other, the total number of combinations is given by:

[tex]T = C_{9,3} \times C_{7,4} \times C_{7,3} = \frac{9!}{3!6!} \times \frac{7!}{3!4!} \times \frac{7!}{3!4!} = 37,044[/tex]

There are 37,044 ways to form the soccer team.

More can be learned about the combination formula at https://brainly.com/question/25821700

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Answer:

I would say city B.

Step-by-step explanation:

Because NC is closer to the equator than Ohio, Ohio might have weirder weather. I've also read that Ohio's weather is always super unstable and always a gamble. I'm not 100% sure tho. Hope that helps! (:

Answer:

Step-by-step explanation:

[tex]\frac{5}{10} * \frac{7}{11} = \frac{35}{110}\\ \frac{35}{110} = \frac{7}{55}[/tex]

Answer:

2/11.

Step-by-step explanation:

5/10 is 1/2, and you sen 7/11 of this away, meaning you have 4/11 for yourself.  Multiplying 4/11 by 1/2, we get 2/11.

Answer:

The Total interest paid is $3,306.87

Answer:

21 + 3x

Step-by-step explanation:

Use Distributive property: a(b + c) =(a *b) + (a*c)

3( 7 + x)= 3*7 + 3*x

           = 21 + 3x

Answer:

D) 320

Step-by-step explanation:

10 x 8 for the base is 80. For the 4 triangles it is 12 x 10 divided by 2 x 4 which gives you 240. 240 + 80 is 320.

Answer:

D, because the word problem separates the minus nine with a comma.

a is incorrect because there is no cube root

b is incorrect because again, no cube root

c is incorrect because the minus nine should not be within the cube root

Four times the cube root of x, minus nine is [tex]4\sqrt[3]{x-9}[/tex].So, our correct answer is 3. [tex]4\sqrt[3]{x-9}[/tex] .Here are a few ways to write "Four times the cube root of x, minus nine":

4 * √(x) - 9

4√(x) - 9

[tex]4\sqrt[3]{x-9}[/tex]

The first way to write it is the most literal way. It uses the multiplication symbol (*) to indicate that we are multiplying 4 and √(x). The second way to write it is a bit more concise. It uses the exponent notation to indicate that we are taking the cube root of x. The third way to write it is the most mathematical way. It uses the LaTeX symbol for the square root, which is \sqrt{}.Which way you choose to write it depends on the context. If you are writing in a more informal setting, you might use the first way. If you are writing in a more formal setting, you might use the third way

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Answer: 2.54 centimeters

Step-by-step explanation: multiply the length value by 2.54

Answer:

The toys cost about $12.

Roger should have gotten back about $5.15 in change.

Step-by-step explanation:

Dog Toys Question:

Bone cost $5.25, so you can estimate it to be about $5.

Frisbee cost $6.75, so you can estimate it to be about &7.

To get estimated total, add $5 + $7 = about $12 total.

Roger's Change Question:

The hamburger and fries cost $4.84, so you can round that out to $4.85.

$10 - estimated $4.85 = about $5.15 in change.

You could also round the $4.84 cost of the hamburger and fries to $5 even. In this case, $10 - estimated $5 = about $5 in change.

Answer:

504 Paise

Step-by-step explanation:

10x = 5040

x = 5040/10

x = 504

Answer:

first one, put value of x= -3 and y = 0

second one, pit vale of x=7 and y= -7

Step-by-step explanation:

first one,

-14(-3) -20(0) =42

or, 42-0 = 42

or, 42 = 42

proved

second one,

-14(7) -20(-7) = 42

or, -98 + 140=42

or, 42 = 42

proved

Answer:

32π or 100.53 cm^3  to the nearest hundredth.

Step-by-step explanation:

dr/dt = 0.5

V = (4/3)π r^3

So dV/dr = (4/3)* 3 π r^(3-1)

= 4πr^2

Rate of increase in volume:  

dV/dt = dV/dr * dr/dt

At r = 4:

Rate of increase in Volume

dV/dt = 4π(4)^2 * 0.5

= 64π * 0.5

= 32π.

Answer:

42/17

Step-by-step explanation:

First term, a = 18

T18 = 60

Common difference, d = ?

[tex]T_{18} = 18 + (18 - 1)d \\ 60 = 18 + 17d \\ 17d = 42 \\ d = \frac{42}{17} [/tex]

Answer:

I think is no triangle possible.

Step-by-step explanation:

There is no 2 or 5.

I hope this helps. If it is wrong I am sorry. Please have a good day

Answer:

276ft^2

Step-by-step explanation:

A triangular prism is made up of multiple faces, just like any three-dimensional shape. Let's do the calculations for this shape together.

Top two faces: 5ft × 14ft × 2 = 140ft^2 (we multiply by two b/c there are two rectangles, so we save a step)

Front and back face: 8ft × 3ft = 24ft^2 (we do not divide by two b/c there are two triangles, so we save a step)

Bottom face*: 8ft × 14ft = 112ft^2

*Note: Don't solve for this face when calculating latent surface area, or when calculating the SA of a compound shape.

Now, we just add up the areas of all the shapes.

140 + 112 + 24 = 276

Final answer: 276ft^2

Answer:

26

Step-by-step explanation:

complementary means two angles that add up to 90 degrees

90-38=52

52÷2=26

to check work you can do 26×2 (since there's 2x) = 52

52+38=90

The amount that the would be paid after 40% discount is $27

Given Data

Let us find the cost of three shirt

= 15*3

= $45

Let us find 40% discount of $45

= 40/100*45

= 0.4*45

= $18

Let us find the amount after discount

= 45-18

= $27

Learn more about word problem here:

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Answer: -1

in a function:

f(x) = mx + b

or

y = mx+ b

y=f(x) so,

y = -(1) x - 3

m=slope --------

x=x-coordinate

b=y-intercept

Answer: 52 degrees

Step-by-step explanation: the sum of interior angles of a triangle is equal to 180 degrees. So, the missing angle is equal to 180-90-38