Match all of the description to the term (Match all of the letters with the numbers).

Professional plumbers suggest that a sewer pipe should be sloped 0.25 inch for every foot. find the recommended slope for a sewe

erik [133]

We have been given that professional plumbers suggest that a sewer pipe should be sloped 0.25 inch for every foot.

Therefore, we can find the slope as:

$\text{Slope}=\frac{0.25\text{ inch}}{\text{1 foot}}=\frac{0.25\text{ inch}}{\text{12 inch}}$

$\text{Slope}=\frac{0.25}{12}=\frac{25}{1200}=\frac{1}{48}$

Therefore, the recommended slope for a sewer pipe is $\frac{1}{48}$

5 0

2 years ago

What is 30% of 70. show your work<br>

mamaluj [8]

Answer: 21

Step-by-step explanation:

we have two simple equations:

1) 70=100%

2) x=30%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

70/x=100%/30%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 30% of 70

70/x=100/30

(70/x)*x=(100/30)*x - we multiply both sides of the equation by

70=3.33333333333*x - we divide both sides of the equation by (3.33333333333) to get x

70/3.33333333333=x

The fore, the answer is 21

8 0

3 years ago

Read 2 more answers

Given A = {x | x < 1}, B = {x | x ≥ 5}, and C = {x | x = 5}, match the following items. 1. A B Ø 2. A C {x | x ≥ 5} 3. B C {x

ivann1987 [24]

Answer:

The matching is shown below.

Step-by-step explanation:

The given sets are defined as

A = {x | x < 1}

It means all the values of x which are less than 1.

B = {x | x ≥ 5}

It means all the values of x which are greater than or equal to 5.

C = {x | x = 5}

It means all the value of x is 5.

Union of two sets contains all the elements of both sets.

Intersection of two sets contains only common elements of both sets.

The matching is shown below.

Sets Correct value

1. A ∪ B {x | x < 1 or x ≥ 5}

2. A ∪ C {x | x < 1 or x = 5}

3. B ∪ C {x | x ≥ 5}

4. A ∩ B Ø

5. B ∩ C {x | x = 5}

6 0

2 years ago

What is the approximate circumference of the circle shown below?

aniked [119]

Answer:

D: 109 cm

Step-by-step explanation:

The formula of circumference is

$\pi d$

Diameter =

$17.4 \times 2 = 34.8$

Hence, circumference =

$34.8 \times \pi = 109.32742...$

rounded of to 109.

8 0

2 years ago

Read 2 more answers

An industry representative claims that 10 percent of all satellite dish owners subscribe to at least one premium movie channel.

Greeley [361]

Answer: 1) 0.6561 2) 0.0037

Step-by-step explanation:

We use Binomial distribution here , where the probability of getting x success in n trials is given by :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

, where p =Probability of getting success in each trial.

As per given , we have

The probability that any satellite dish owners subscribe to at least one premium movie channel. : p=0.10

Sample size : n= 4

Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.

1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel = $P(X=0)=^4C_0(0.10)^0(1-0.10)^{4}$

$=(1)(0.90)^4=0.6561$

∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.

2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.

= $P(X>2)=1-P(X\leq2)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\= 1-[0.6561+^4C_1(0.10)^1(0.90)^{3}+^4C_2(0.10)^2(0.90)^{2}]\\\\=1-[0.6561+(4)(0.0729)+\dfrac{4!}{2!2!}(0.0081)]\\\\=1-[0.6561+0.2916+0.0486]\\\\=1-0.9963=0.0037$

∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.

8 0

2 years ago