(x - 30°)
to
to
(x - 30)
(x - 30)

With the given order of integration, the interval over D is

[tex]\displaystyle \iiint_D f(x,y,z) \, dV = \int_{-3}^{3} \int_{-\sqrt{9-x^2}}^{\sqrt{9-x^2}} \int_{-\sqrt{9-x^2-z^2}}^{\sqrt{9-x^2-z^2}} f(x,y,z) \, dy \, dz \, dx[/tex]

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[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 neither receives a coupon is P(X = 0), thus:

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

[tex]P(X = 0) = C_{2,0}.(0.1)^{0}.(0.9)^{2} = 0.81[/tex]

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

A similar problem is given at https://brainly.com/question/25326823

Answer:

the answer is D broski

Step-by-step explanation:

trust me on this one

Answer:

63 1/4

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

DO

100 divided by .20

Then move the decimal point two spaces to the right

Answer:

D

Step-by-step explanation:

2 1/2 miles / 3 1/3 minutes = 3/4 mile per minute

A. 3/4 mile per minute x 49 minutes = 35 3/4 miles

B 3/4 miles per minute x 60 minutes (1 hour) = 45 miles

Answer:

2 1/2 miles = 5/2 miles

3 1/3 minutes = 10/3 minutes

Here,

in 10/3 minutes travels = 5/2 miles

in 1 minutes travels = (5/2)/(10/3) miles

in 49 minutes travels = (49*(5/2))/(10/3) miles = 36.75 miles

in 60 minutes (1 hour) travels =  (60*(5/2))/(10/3) miles = 45 miles

Answer:

23

Step-by-step explanation:

=3 ( 8 - 4 ) + 2 × 5.5

= 3 (4)+ 2× 5.5

= 12 + 11

=23

Answer:

y=8x

Step-by-step explanation:

because The equation that represents a proportional relationship, or a line, is y=kx, where k is the constant of proportionality

Answer:

i think its four triangles

Step-by-step explanation:

but , correct me if im wrong ok

balabalabala

Answer:

x = 134°

Step-by-step explanation:

Using the exterior angle theorem, we can say that x is the sum of the two angles shown. 70 + 64 = 134. This means x = 134.

Answer:

For the function f(x) = 3x - 8,

f(0) = -8

f(4) = 4

f(-4) = -20

f(1/3) = 7

Step-by-step explanation:

Given:

f(x) = 3x - 8

f(0) = 3(0) - 8

f(0) = 0 - 8

f(0) = -8

f(4) = 3(4) - 8

f(4) = 12 - 8

f(4) = 4

f(-4) = 3(-4) - 8

f(-4) =  -12 - 8

f(-4) = -20

f(1/3) = 3(1/3) - 8

f(1/3) = 1 - 8

f(1/3) = 7

Answer5 and 7

Step-by-step explanation:

The mass of the load in kilogram is an illustration of subtraction operation

The mass of the load in kilogram is (b) 1645 kg

The complete mass is given as:

[tex]\mathbf{m_t = 2.87\ tonnes}[/tex]

The mass of the lorry is given as:

[tex]\mathbf{m_l = 1.225\ tonnes}[/tex]

The mass of the load is calculated by subtracting the mass of the lorry from the mass of the lorry and its load.

So, we have the following equation:

[tex]\mathbf{m_{load} = m_t - m_l}[/tex]

Substitute known values

[tex]\mathbf{m_{load} = 2.87\ tonnes- 1.225\ tonnes}[/tex]

Subtract

[tex]\mathbf{m_{load} = 1.645\ tonnes}[/tex]

Convert to kilogram

[tex]\mathbf{m_{load} = 1.645 \times 1000kg}[/tex]

Multiply

[tex]\mathbf{m_{load} = 1645 kg}[/tex]

Hence, the mass of the load in kilogram is (b) 1645 kg

Read more about subtraction at:

https://brainly.com/question/20671719

Answer:

Factor the numerator and denominator and cancel the common factors.

Step-by-step explanation:

3x² + 5x - 1

Step-by-step explanation:

6x + 9 = 12

6x = 12 - 9

6x = 3

x = 3/6 = 1/2

Answer:

1/2

Step-by-step explanation:

6x + 9 = 12

6x = 12 - 9

6x = 3

x = 3/6

x = 1/2

Answer:

Only Anna and Donna had correct answers.

Step-by-step explanation:

Answer:

yes

0x=no x

x has no value in this case

Answer:

2/5

Step-by-step explanation:

Answer: To combine like terms, we must first understand what they are. Like terms are, well like. An example will make more sense. See the equation 2 + 4x - 5y * 0.2xy. Here, we have no like terms. Why? Because 2 has no variable while 4x has x. However, 4x and 5y don't have the same variable so they are NOT like either. Do not fall into the 0.2xy trap either because that is not like with 4x or 5y. Now that you (hopefully) understand let us try an example.

5x * 2x - 24 = 16

As you can see, the like terms here are 5x and 2x as well as 4 and 16. Now let us simplify by bringing the like terms together.

5x * 2x = 16 + 24

10x^2 = 40 (Be careful here! since we are multiplying x twice it will become x^2)

x^2 = 40/10

x^2 = 4

x = 2 (or -2)

And there you go! You just simplified using like terms.

Would appreciate brainliest <3

Answer:

where is the question

Step-by-step explanation:

Answer:

it would be A=12bh Substitute 14 for b and 10 for h in the formula and then the area of a tringle would be 70 square meters

Step-by-step explanation:

u welcome hope i help trying to a brainiest so if u mark me brainiest it will make my day

Answer:

Its 4.09

Step-by-step explanation:

Please mark brainliest if correct. :)

Step-by-step explanation:

f(x) = x

g(x) = f(x - 11)

g(x) = x

g(x) = (x - 11)

g(x) = x - 11

So, g(x) = x - 11

The exponential function that can be used to determine how much of the isotope is left after x number of half-lives is given by:

[tex]A(x) = 90(0.5)^x[/tex]

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, the initial amount is of A(0) = 90 mg, and we are working with half-lifes, hence r = 0.5, which means that the equation is:

[tex]A(x) = 90(0.5)^x[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

x2y3×35 (x+y)=5A

35x3y4=5A

A=35 x^2y^3÷5

Step-by-step explanation:

x2y3×35(x+y)=5A

35×3y4=5A

A=35×^2y^3÷5

6 gallons

If you have 4 gallons for 30 plants, half of 4 gallons is 2, which will water 15 plants. Add 4 gallons plus 2 gallons, it gives you 6 gallons and 45 plants.

It use 6 gallons of water to water 45 plants.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

WE have been given that;

Let 4 gallons of water ... 30 plants

Let x gallons of water = ? ... 45 plants

The water will it take to water 45 plants, it can be calculate this using the following steps;

4 * 45 = x * 30

180 = 30 * x    /30

x = 180 / 30

x = 6 gallons of water

Therefore, We will use 6 gallons of water to water 45 plants.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ2

Answer:

60 inches or 5 feet

Step-by-step explanation:

the average height of a brick would be 3 inches

Answer:

[tex]5 - 8 \geqslant z + 4 \\ - 3 \geqslant z + 4 \\ - 3 - 4 \geqslant z \\ \boxed{z \leqslant - 7}[/tex]