All categories

2 years ago

1) The relation R on the set {1,2,3, 4}is defined as

1 answer:

7 0

Matrix dimension 4x4. We put 1 if role is in relation with the collon (role is first number of (a,b), number a, and collone is number b. We have them 4). So, the matrix representation is:

0 0 1 1

0 1 0 0

0 0 0 0

You might be interested in

Maori created this shape out of construction paper using a ruler and scissors. She made sure that all of her angles were right a

Maru [420]

Answer:

B) 48cm²

Step-by-step explanation:

find the area of the 2 rectangles

A = bh

A = 9×4

A = 36

A = bh

A = 6×2

A = 12

add them up you get 48cm²

6 0

3 years ago

Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches. What is

raketka [301]

Answer: 0.5

Step-by-step explanation:

Given : Adult male heights have a normal probability distribution .

Population mean : $\mu = 70 \text{ inches}$

Standard deviation: $\sigma= 4\text{ inches}$

Let x be the random variable that represent the heights of adult male.

z-score : $z=\dfrac{x-\mu}{\sigma}$

For x=70, we have

$z=\dfrac{70-70}{4}=0$

Now, by using the standard normal distribution table, we have

The probability that a randomly selected male is more than 70 inches tall :-

$P(x\geq70)=P(z\geq0)=1-P(z$

Hence, the probability that a randomly selected male is more than 70 inches tall = 0.5

4 0

3 years ago

Read 2 more answers

The Benjamin Franklin Parkway in Philadelphia, PA, runs diagonally from City Hall to the Philadelphia Museum of Art. In the scal

Ghella [55]

Answer:

6895ft

Step-by-step explanation:

Given data

The coordinates

City Hall is located at (11.4, 1.2) x1,y1= 11.4, 1.2

Museum of Art is located at (1.5, 10.8) x2,y2= 1.5, 10.8

Required:

the distance between the two points

Applying the Pythagorean theorem as

$d= \sqrt((x_2-x_1)^2+(y_2-y_1)^2)$ we can find the distance by substituting the given point coordinates

$d= \sqrt((1.5-11.4)^2+(10.8-1.2)^2)\\\\d= \sqrt((-9.9)^2+(9.6)^2)\\\\d= \sqrt(98.01+92.16)\\\\d= \sqrt190.17\\\\d=13.79$

in feet, we are told that a unit is 500 ft

then 13.79 will be 500*13.79

=6895.107ft

=6895ft

3 0

3 years ago

Jim is working at a restaurant. His first table ordered 4 sodas and 4 baskets of fries for $16.00. His second table ordered 4 so

PtichkaEL [24]

Answer:

the price of each soda is $1.75

Step-by-step explanation:

Notice that there are two unknowns; the price of each soda (let's assign the letter "s" to it), and the price of the basket of fries 9let's assign the letter "b" to it)

We can then write two equations using the information on the total price for each order:

(a) 4 s + 4 b = 16

(b) 4 s + 3 b = 13.75

we can now subtract term by term equation (b) from equation (a), and obtain:

4 s - 4 s + 4 b - 3 b = 16 - 13.75

0 + b = 2.25

So now that we know the price of each basket of fries ($ 2.25) , we can use that info in either equation and solve for "s". Let's use equation (a) for example:

4 s + 4 (2.25) = 16

4 s + 9 = 16

4 s = 16 - 9

4 s = 7

s = 7/4

s = 1.75

So, the price of each soda is $1.75

5 0

3 years ago

What is the value of z? ( please help)

maxonik [38]

Answer:

z = 1

Step-by-step explanation:

See the diagram of the triangle attached to this question.

We know the property of angles of a triangle as if we sum any two interior angles then we will get the opposite exterior angle.

Hence,

42z + 37 = 40z + (26z + 13)

⇒ 42z + 37 = 66z + 13

⇒ 37 - 13 = 66z - 42z

⇒ 24 = 24z

⇒ z = 1 (Answer)

7 0

3 years ago