Let us denote by P the set of all people, by S the set of people who are single, by C the set of people who have children, by W the set of women and by M the set of men. For each question below, write down an expression that represents the set being described. Write exactly one expression for each question.
a. Women who are either married with children, or single and do not have children.
b. All possible married heterosexual couples, i.e., all possible pairings of married men and married women.
c. The number of all possible married heterosexual couples.
Solution :
Given :
The events are as follows :
P : Set of all the people
S : Set of people those who are single
C : Set of people having children
W : Set of women
M : Set of men
a). Now set of married women having children is given by :
[tex]$\left( (P-S)-M \right) \cap C $[/tex]
And set of single women who do not have any children : (S -C) - M
Thus the set of women those who are either married and have children or they are single and they do not have any children is represented by :
[tex]$\left( (S-C)-M\right) \cup \left( ((P-S)-M) \cap C \right) $[/tex]
b). Set of Married men : [tex]$\left( (P-S) \cap M$[/tex]
Set of Married men : [tex]$\left( (P-S) \cap W$[/tex]
Set of all possible married who are heterosexual couples, that is, all possible pairings of the married men and the married women is represented by :
[tex]$((P-S) \cap M) \cap ((P-S) \cap W )$[/tex]
c). The number of all the possible married heterosexual couples will be represented by the cardinality of the above set, which represents the number of the elements in the set.
Thus the number of the married heterosexual couples is given by :
[tex]$n[((P-S) \cap M) \cap ((P-S) \cap W)]$[/tex]
Use shifts and scalings to graph the given function. The
p(x)= x² + 2x - 6
What is the original function?
y =
(Type an expression. Simplify your answer.)
Answer:
x^2+2x
Step-by-step explanation:
This function was shifted down 6 units.
It does not seem like this function was shifted horizontally since the x value is not being subtracted nor added inside the parentheses. Therefore, the original function would just be p(x) + 6, which would give us x^2+2x.
pleeeaseee heelllppp
Step-by-step explanation:
$4 per week from washing car
$2 per week for bathing dog
$1.5 four times a week for dishwasher -> 6 dollars total
4+2+6 = 12$
Money earned = 12*weeks
Answer:
Step-by-step explanation:
$4 from washing car
$2 for bathing dog
$1.5 four times a week for dishwasher= 6 dollars total
4+2+6 = 12$
Jeffrey is making an apple pie. He has 15 apples and 8 of them are red. What percent of the apples are red?
Answer:
53.333%
Step-by-step explanation:
Simple probability. 8 / 15 = 0.53333 = 53.33%
Estimate the product
0.9x82
Step-by-step explanation:
Solution,
Here,
0.9 x 82
=73.8
Again, if we round it then it will be 74, so the estimate of 73.8 is 74.
The estimate product is 74. The actual product is 73.8. I hope this is what you're looking for!
Christi has $7,500 to invest. She was offered a simple annual interest rate of 4% for three years, but wants to look at other options. Which of the following changes will increase the interest she earns the most?
A-Simple interest, 4.2%, 3 years
B-Simple interest, 4.1%, 3 years
C-Simple interest, 4%, 3.25 years
D-Compound interest, 4%, 2.75 years
Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
[tex]SI = \dfrac{P \times R \times T}{100}[/tex]
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The simple Interest she is currently getting,
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3}{100} =\$900[/tex]
A.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.2 \times 3}{100} =\$945[/tex]
B.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.1 \times 3}{100} =\$922.5[/tex]
C.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3.25}{100} =\$975[/tex]
D.)
[tex]CI = P(1+\dfrac{R}{100})^t -P = \$7,500(1+0.04)^{2.75}-\$7500 = \$854.16[/tex]
Hence, Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.
Learn more about Simple Interest:
https://brainly.com/question/2793278
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✨Why does gum run out of flavor so soon I WANT TO CHEW FOREVERRRR✨
Answer:
i know right it is stubid
Step-by-step explanation:
Answer:
I know bro them people are unforgivable for making the flavor not last long
Step-by-step explanation:
Comment if y'all know what i mean
find x please!!
a.10
b.32
c.116
d.16
9514 1404 393
Answer:
(d) 16
Step-by-step explanation:
Angles opposite sides of the same measure are congruent. Here, the triangle is isosceles, so the base angles are congruent:
2x = 32
x = 16 . . . . . . divide by 2°
What is the product
of (a - 5) and (a + 3)?
Answer:
a^2 - 2a - 15
Step-by-step explanation:
( a - 5 )(a + 3 )
distribute
a^2 + 3a - 5a - 15
a^2 - 2a - 15
Hope this helps!!!
(c) Select all that describe JM.
K
Perpendicular bisector of KL
Angle bisector of 2
M
U Median of AJKL
u Altitude of AJKL
L
I None of the above
Answer: Can someone please help me on my most recent question?
Step-by-step explanation: Sorry man I dunno how to do this but I need help too
Suppose that 40% of households use their cell phones for their home phone. If 12 households are randomly selected, what is the probability that at least three use their cell phones
Answer:
0.917
Step-by-step explanation:
What is the "x" in the equation?
4.2 = x + 0.6
April is making necklaces using beads
that are 6 millimeters in diameter.
What is the diameter of each bead in
centimeters?
Step-by-step explanation:
To convert millimeters to centimeters we divide
As, 10 millimeters = 1 centimeter
So 1 centimeter = 1/10 millimeter
So here of we have 6 millimeters, so centimeters = 6/10 = 0.6cm
So the diameter of each bead in the necklace = 0.6cm
The diameter of bead in a necklaces is 0.6 centimeters.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
Given that, April is making necklaces using beads that are 6 millimeters in diameter.
We know that, both millimeters and centimeters is the unit to measure the length. One millimeter is equal to 0.1 centimeters and 1 cm is equal to 10 mm.
Here, 6 millimeters
= 6×0.1
= 0.6 centimeters
Therefore, the diameter of a bead is 0.6 centimeters.
To learn more about the metric conversion visit:
brainly.com/question/21244256.
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PLEASE HELP!!
a
b
c
d
Answer:
D
Step-by-step explanation:standard form for monomoial,binomial, quadratic, trinomal are
ax^2 +bx+c, meaning the largest degree is first then the degree get smaller everytime we go to the right.
4-6x^3
Switch it around
-6x^3+4
a binomial includes two terms which in this case is x cubed and 4.
What is the equation of a line that has a slope of 0 and passes through (5, −2)?
y=-2
Step-by-step explanation:
if line has zero slope (b) it means that b is undefined.
if x=0 y=-2 because line has no slope. so b=-2
y=-2
Name all of the angles that have "V" as a vertex.
Answer:
angle 5, angle 4 and angle FVH.
Step-by-step explanation:
V is the highest point for all of these angles.
Evaluate the expression 8x for x=2
Answer:
16
Step-by-step explanation:
8x2
8x = 16
8 * 2 = 16
If "x" is equal 2.
Then 8 multiplied by 2 is equal to 16.
Name a linear pair.
Answer:
It is C. Linear pairs make a 180 degree turn. Hope this helps!
Step-by-step explanation:
Answer:
C. ∠GQI, ∠IQM
Step-by-step explanation:
linear pairs must add up to 180°
∠GQI and ∠IQM make a straight line which is 180°
What is the slope of the line whose equation is 3x – 4y – 16 = 0
Answer:
Slop is 3/4
Step-by-step explanation:
3x - 4y - 16 = 0
- 4y = -3 x + 16
y= ( -3 / -4 ) x + 16 / ( -4 )
y= (3/4) x - 4
Henry has p colored pencils. katie has 7 times as many pencils as henry. ben has 8 fewer pencils then Katie. How many pencils do they have in all?
Answer:
7 x 8=56
Step-by-step explanation:
21x29 step by step give brainliest
21x29=609
21
x 29
_______
189
+ 420
______
609
Answer:
609
Step-by-step explanation:
21 * 29 = 609
What is 4 5/6 - 9 8/9
Answer:
-91/18
Step-by-step explanation:
hope this helps!
What goes in the box????
Answer:
It should be Factored 3(3x - 7).
What is the slope of a line perpendicular to the line whose equation is x-y=6
Answer:
1
hope this helps!!:)
Step-by-step explanation:
2x (3x - 7) + 5x - 8
Answer:
6x^2 - 9x -8
Step-by-step explanation:
by expanding the first bracket you get 6x^2 - 14x
-14x +5x = -9x
and then you write it all together
Help You Will Get Brainiest Please I Don't Have Time
Answer:
What is the area of the border of the wall?
Step-by-step explanation:
If f(x)= x/2-2 and g(x)= 2x^2+x-3, find (f+g)(x).
Answer:
2x^{2} + \frac{3}{2} x - 5
Step-by-step explanation:
(f+g)(x) = f(x)+g(x)
(f+g)(x)= [tex]\frac{x}{2} -2[/tex] + [tex]2x^{2} +x-3[/tex] = [tex]2x^{2} + \frac{3}{2} x - 5[/tex]
Clinton has a spinner labelled orange, blue, green and pink. He spins the spinner 100 times. He gets orange 33 times. What the experimental probability of him getting an orange?
Answer:
22%
Step-by-step explanation:
looked it up duhhhhhhhh
Answer:
The answer is 22%
Step-by-step explanation:
I took the test
2. Dustin Henderson lives 1 mile from Hawkins National Laboratory. A demogorgan can travel at a top
speed of 70 mph. How long will it take a Dart, Dustin's pet demogorgan, to reach the laboratory.
Give me a quick answer no need for fixing grammar mistakes and It’s not for a assessment, quiz, or test
Three years ago joelene brought $650 worth of stock in a software company.since then the value purchase has been increasing at an average rate of 13 1/2% per year.How much is the stock worth now
Answer: stock<= gamestop stock
1.135(1.135(1.135(650))) USD
Step-by-step explanation: