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3 years ago

A student wants to write an expression for, "all of the elements which are in set A or

Mathematics

1 answer:

Allushta [10]3 years ago

7 0

The correct answer is: D. (A u B)

Step-by-step explanation:

The operations on sets are of two types

1. Union

2. Intersection

In union, the elements of both sets are combined in one set while in intersection only common elements of both sets are considered.

Here,

"all of the elements which are in set A or B"

This statement means the elements of both sets have to be considered. The word "Or" points to the combination of both sets as an elements belonging to any of the set will be considered. So union operation will be used.

Hence,

The correct answer is: D. (A u B)

Keywords: Sets, Union

Learn more about sets at:

#LearnwithBrainly

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Let Y be a random variable with a density function given by

Neporo4naja [7]

From the given density function we find the distribution function,

$F_Y(y)=P(Y\le y)=\displaystyle\int_{-\infty}^y f_Y(t)\,\mathrm dt=\begin{cases}0&\text{for }y$

(a)

$F_{U_1}(u_1)=P(U_1\le u_1)=P(3Y\le u_1)=P\left(Y\le\dfrac{u_1}3\right)=F_Y\left(\dfrac{u_1}3\right)$

$\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1$

$\implies f_{U_1}(u_1)=\begin{cases}\frac{{u_1}^2}{18}&\text{for }-3\le u_1\le3\\0&\text{otherwise}\end{cases}$

(b)

$F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y$

$\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2$

$\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}$

(c)

$F_{U_3}(u_3)=P(Y^2\le u_3)=P(-\sqrt{u_3}\le Y\le\sqrt{u_3})=F_Y(\sqrt{u_3})-F_y(\sqrt{u_3})$

$\implies F_{U_3}(u_3)=\begin{cases}0&\text{for }u_3$

$\implies f_{U_3}(u_3}=\begin{cases}\frac32\sqrt u&\text{for }0\le u\le1\\0&\text{otherwise}\end{cases}$

5 0

3 years ago

A box without a top is made from a rectangular piece of cardboard, with dimensions 27 centimeters by 18 centimeters, by cutting

GaryK [48]

By cutting each corner we have that the resulting dimensions are:
27 - 2x
18 - 2x
Height = x
Therefore, the volume of the box in terms of the variable x, is given by:
V (x) = (x) * (27-2x) * (18-2x)
Answer:
The volume of the box in terms of x is:
(27-x) (18-x) x

8 0

3 years ago

Read 2 more answers

Harriet earns the same amount of money each day. Her gross pay at the end of 7 work days is 35h + 56 dollars. Which expression r

Aleks [24]

Answer:

<em>The expression that represents her gross pay each day will be: $(5h+8)$ dollars.</em>

Step-by-step explanation:

Suppose, Harriet's gross pay each day $= x$

So, her total gross pay for 7 work days $=7*x= 7x$

Given that, her gross pay at the end of 7 work days is $(35h + 56)$ dollars.

So, the equation will be.......

$7x= 35h+56 \\ \\ x=\frac{35h+56}{7}\\ \\ x=\frac{35h}{7}+\frac{56}{7}\\ \\ x=5h+8$

Thus, the expression that represents her gross pay each day will be: $(5h+8)$ dollars.

8 0

3 years ago

Pls help with a good explanation and show ur work will give brainleiest

lyudmila [28]

From the graph: there are 200 students overall. For the next 100, we can divide each number by 2 to find an estimate for how many with participate in MATH tutoring. 40 divided by 2 =20 students participating in MATH tutoring.

Part B- There are currently 55 students out of 200 in SCIENCE tutoring. We add 55 more for 400 = 110, add 55 more for 600=165, and then add half of 55 (27.5 or 28 because you CANNOT have half a student) for 700 students total. 55+55+55+28=193 students.

7 0

2 years ago

At pizza hut, 9% of the pizzas made last night had extra cheese. if 27 pizzas has extra cheese, how many pizzas in all were made

True [87]

Answer: 300

You need to change 9% into a decimal so it would be 0.09

Then divide 27 ÷ 0.09 = 300

So 9% of 300 is 27

3 0

2 years ago