Answer: 0.125
Step-by-step explanation:
Add up the probabilities in the other ones and subtract that sum by 1, since 0 boys is out remaining answer
Question 1.
Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11}
Write the elements for the following: [4 marks]
(a) R ⊂ P
(b) Q ⊂ P
(c) R ⊂ S
(d) S ⊂ Q
(e) S ⊂ P
(f) P ⊄ Q
(g) Q ⊄ R
(h) S ⊄ Q
Question 2.
i) Write down all the possible proper subsets for each of the following:
[3marks]
(a) {a, b, c, d}
(b) {1, 2, 3}
(c) {p, q, r}
(d) {5, 10}
(e) {x}
(f) ∅
ii) Which of the following sets is a universal set for the other four sets?
(Select your answer) [1mark]
(a) The set of even natural numbers
(b) The set of odd natural numbers
(c) The set of natural numbers
Answer:
Question 1
a) { 3, 5, 9 }
b) { 9, 11 }
c) { }
d) { 11, 13 }
e) {11}
f) {3, 5, 7}
g) {11, 13}
h) {9}
Question 2 ( i )
a) { a,b,c,d }
{a}
{b}
{c}
{d}
{a,b,c}
{a,b}
{a,c}
{a,d}
{b,c}
{b,d}
{c,d}
{a,b,d}
{b,c,d}
{a,c,d}
{ }
b) {1,2,3}
{1,2}
{1,3}
{1}
{2}
{3}
{2,3}
{ }
c) {p, q ,r}
{ p,q}
{ p,r}
{ q,r}
{p}
{q}
{r}
{ }
d) { 5,10}
{ 5}
{10}
{ }
e) {x}
{ }
f) { ○ }
{ }
Question 2 ( ii )
(c) The set of natural numbers
PLEASE HELP ASAP!!! WITH EXPLANATION IF POSSIBLE!!!!!!!!!
Two chords PQ and ST of length 6cm and 10cm respectively of a circle are parallel to each other and are on opposite side of its center. If the distance between PQ and ST is 5cm. Find the radius of the circle
Answer:
Draw two parallel chords AB and CD of lengths 5 cm and 11 cm. Let the center of the circle be O. Join one end of each chord to the center.
Draw two perpendiculars OM and ON to AB and CD, respectively, which bisects the chords.
Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of its center. If the distance between AB and CD is 6 cm, find the radius of the circle.
Thus, MB = 2.5 cm and ND = 5.5 cm [The perpendicular drawn from the center of the circle to the chords bisects it.]
Let OM = x and ON = 6 - x
Consider ΔOMB
By Pythagoras theorem,
OM2 + MB2 = OB2
x2 + 2.52 = OB2
x2 + 6.25 = OB2..................(1)
Consider ΔOND
By Pythagoras theorem,
ON2 + ND2 = OD2
(6 - x)² + 5.52 = OD2
36 + x2 - 12x + 30.25 = OD2
x2 - 12x + 66.25 = OD2............... (2)
OB and OD are the radii of the circle. Therefore OB = OD.
Thus, OB2 = OD2
Equating (1) and (2) we get,
x2 + 6.25 = x2 - 12x + 66.25
12x = 60
x = 5
Substituting the value of x in (1),
OB2 = x2 + 6.25
OB2 = 52 + 6.25
OB2 = 31.25
OB = 5.59 (approx.)
Thus, we get the radius of the circle = 5.59 cm.
Order the numbers from least to greatest.
13/50
22%
0.28
1/5
0.41
1/5, 13/50, 0.28, 0.41, 22%
Step-by-step explanation:
hopes this helps
Kala and david each opened a savings account today, kala opened her account with a starting amount of $180, and she is going to put in $70 per month. David opened his account with no starting amount, and he is going to put in $100 per month
let x be the number of months after today
(a) for each account, write an expression for the amount of money in the account after x months
(b) write an equation to show when the two accounts have the same amount of money
[tex]Elsa:y_1=70x+180[/tex]
[tex]brian,y_2=100x[/tex]
Step-by-step explanation:[tex]Rnown\ by\ the\ topic,[/tex]
[tex]Assuming\ that\ the\ Elsa\ amount\ of\ money\ is\ y_1,[/tex]
[tex]Brian's\ amount\ of\ money\ is\ y_2[/tex]
[tex]so,y_1=70x+180[/tex]
[tex]\{put\ in\ \$70\ per\ month,\ storting\ amount\ of[/tex]
[tex]y_2=100x[/tex]
[tex]\{\ put\ in\ \&\ 100\ per\ month,\ no\ starting\ emount[/tex]
[tex]\{\$70,\ \$100\ are\ monthly\ voriation,[/tex]
[tex]\$180\ is\ fixed\ value?[/tex]
I hope this helps you
:)
MUTUALLY OR NOT MUTUALLY EXCLUSIVE EVENTS?
Answer:
All are not mutually exclusive events
PLEASE HURRY 30 POINTS
A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 2 and the coln
toss is heads?
Write your answer as a fraction in simplest form.
hope it helps...!!!!
The probability that the number rolled is greater than 2 and the coin toss is heads is,
⇒ 1/ 3
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Now, In probability theory, "AND" means multiplication and "OR" means "addition".
Hence, We can find the 2 probabilities separately and multiply them (as there is "AND")
So, Probability for number rolled greater than 2 = number of numbers that are greater than 2/total number of numbers
Since, There are 4 numbers greater than 2 in a die (3, 4, 5, 6) and total 6 numbers, so
P(number greater than 2) = 4/6 = 2/3
Now, Probability that heads come up in coin toss = 1/2 (there are 1 tail and 1 head in a coin)
Hence,
P(number greater than 2 and heads in coin) = 2/3 × 1/2 = 1/3
Thus, the probability that the number rolled is greater than 2 and the coin toss is heads is,
⇒ 1/ 3
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ7
Question 11
1 pts
A baby was 6 lb 8 oz at birth. At one month old, she weighed 9 lb 2 oz. How much weight did the
baby gain in the first month?
Answer:
2 lb and 4oz
Step-by-step explanation:
because if you do 9lb 2oz minus 6lb 8oz you get 2 lb 4oz
Select the correct answer.
What are the roots of this quadratic equation?
help
Answer:
A
Step-by-step explanation:
I took the test it was right
Lines a, b, c, and d Intersect as shown.
124
95
42°
53
39°
95°
What is x ?
Answer:
95 is the answer I took the test
=
EXPONENTS AND POLYNOMIALS
Factoring a quadratic by the ac-method
Factor by grouping (sometimes called the ac-method).
2
2x + 3x-9
-
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.
Answer:
5x-9
Step-by-step explanation:
Add 2x and 3x since they're like terms
5x-9
Bill is A yr old. Write a simplified expression for his daughter's age if Bill's daughter is 28 yr younger than he is.
Bill's daughter is _____yr old?
Mark bought two candy bars and a soda for $3.96. If each candy bar cost $1.10 how much did the soda cost?
Answer:
$1.76
Step-by-step explanation:
$1.10+$1.10 = $2.2
$3.96 - $2.2 = $1.76
What did is the total volume,in cubic feet of the shape below
Answer:
64ft^3 (The ^3 is meant to be cubed) 64 feet cubed.
Step-by-step explanation:
The picture has already split the two shapes.
*Remember Volume Formula: LWH or Length times Width times Height.*
The first shape is 4ft x 2ft x 2ft
The second shape is a little bit of a fuss but it's alright.
*Talking about the length of Shape no.2*
Since the second shape is longer than the first one (by length). You need to double it meaning: 4x2 or 4+4 = 8ft
The second shape is 8ft x 2ft x 3ft
First shape should have a volume of 16ft
Second shape should have a volume of 48ft
Now, you need to add the two volumes:
48ft + 16ft = 64ft cubed
If z = 3cis30°, z3 in rectangular form is:
[tex]\qquad \textit{power of two complex numbers} \\\\\ [\quad r[cos(\theta)+isin(\theta)]\quad ]^n\implies r^n[cos(n\cdot \theta)+isin(n\cdot \theta)] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ z=3[\cos(30^o)+i\sin(30^o)] \\\\\\ z^3=3^3[\cos(3[30^o])+i\sin(3[30^o])]\implies z^3=27[\cos(90^o)+i\sin(90^o)] \\\\\\ z^3=27(0~~ + ~~i1)\implies z^3=0+27i[/tex]
so that gives us the point (0 , 27) on the imaginary plane, and we also know the line goes through the origin, since it'd be a line in component form, and to get the equation of a line we only need two points off of it, let's use those two.
[tex]\stackrel{origin}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{27}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{27}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{0}}}\implies \cfrac{27}{0}\implies und efined[/tex]
a line with an undefined slope is a vertical line, namely in this case x = 27.
what is the volume of this container 1ft 1ft 2ft
Answer:
Remember length times width times height when finding volume.
In non-terms of pi, the answer would be [tex]2[/tex] [tex]ft^2[/tex]
Answer:
Volume is 2ft
Step-by-step explanation:
Multiply the length x width once you find the answer for lengthxwidth.
Multiply the answer you got by height
Write the equation for the function graphed attached
f(x)=
Answer:
here
Step-by-step explanation:
simplify the expression m^-6n^-3/m^-13n^-1
A)m^7n^2
B)n^-9/n^-14
C)m^3n^12
D)m^7/n^2
[tex]\dfrac{m^{-6} \cdot n^{-3}}{m^{-13} \cdot n^{-1}}\\\\=m^{-6-(-13)} \cdot n^{-3-(-1)}\\\\=m^{-6+13} \cdot n^{-3+1}\\\\=m^7 \cdot n^{-2}\\\\=\dfrac{m^7}{n^2}[/tex]
B
ca
(3y +9)°
1149
4yº
D C
А
1.
o
Question 6(1 point)
QS is a tangent to circle P. Find QS.
If someone can help me step by step exactly
The value of z using the information and the formula provided in the question is -5.292.
What is the value of z?
Subsituting for the missing values in the formula, the formula becomes: [tex]\frac{130 - 135}{\frac{5}{\sqrt{28} } }[/tex]
Solving for the numerator, the number becomes -5. Solving for the denominator, the number becomes 0.94491
z = -5/0.94491
z = -5.292
To learn more about mathematical equations, please check: https://brainly.com/question/26427570
Is it possible that all solutions of a homogeneous system of ten linear equations in twelve variables are multiples of one fixed nonzero solution
The answer is no, because the Rank Theorem tells us that rank A + dim Nul A = 12 . Since the rank can be at most 10, the null space has to have dimension at least two.
Which selection shows the correct order of points from least to greatest on the number line?
SUOSI
27 4 7 4
3 8 5 10 3
H
-2
+
0
2.
-1
A.
nim
4
5'
-
-
bu
4 7
3' 10
in
NICO
3
av
4
7
B.
4 2
5' 3'
7
3' 8' 10 de file upon two locou
2
4.
-
C.
4 7 7
5' 10' 8
3
3
4
2
7
7
D.
---
3
5'
3
10
8
Answer:
D.
Step-by-step explanation:
As is often the case with multiple choice questions, you only need to find part of a correct answer to be able to make the right choice.
The number line picture shows the left-most point has a value less than -1. That means the numerator of its negative fraction will be greater than the denominator. The only fraction like that on the list is -4/3, and the only answer choice with that listed first is choice D.
D. -4/3, -4/5, -2/3, 7/10, 7/8
D. -4/3, -4/5, -2/3, 7/10, 7/8
Step-by-step explanation:
# Brainliest Bunch
Find the next two numbers in the sequence 5,2,-1,…
Answer:
The answer is (-4) and (-7).
Step-by-step explanation:
Given;a₁ = 5a₂ = 2a₃ = (-1)To Find;a₄ = ?a₅ = ?Formula;aₙ = a + (n – 1) × dNow, for common difference (d)
d = a₂ – a₁ = 2 – 5 = -3
d = a₃ – a₂ = (-1) – 2 = -3
Here, common difference is same everywhere.
So, for fourth term or n = 4
aₙ = a + (n – 1) × d
a₄ = 5 + (4 – 1) × (-3)
a₄ = 5 + 3 × (-3)
a₄ = 5 – 9
a₄ = -4
Then, for fifth term or n = 5
a₅ = 5 + (5 – 1) × (-3)
a₅ = 5 + 4 × (-3)
a₅ = 5 – 12
a₅ = -7
Thus, The fourth term is (-4) and fifth term is (-7).
help please!!!!!!!! please be correct
Answer:
Step-by-step explanation:
the answer is 66. To find the third angle subtract 80 and 34 by 180.
Find the chance of having a face card if a card is drawn randomly from a deck of cards.
Answer:
3/13
Step-by-step explanation:
P(Choosing a Face card) =
12/52= 3/13
pls mark as brainliest
Write the given expression as a single trigonometric function.
2 sine (StartFraction 3 pi Over 8 EndFraction) cosine (StartFraction 3 pi Over 8 EndFraction)
Sine (StartFraction 3 pi Over 16 EndFraction)
2 sine (StartFraction 3 pi Over 16 EndFraction)
Sine (StartFraction 3 pi Over 4 EndFraction)
2 sine (StartFraction 3 pi Over 4 EndFraction)
Answer:
sin(3pi/4)
Step-by-step explanation:
I got it right on edg
Answer:
The answer is letter c
Step-by-step explanation:
The slope of a line is -1/3. Find the slope of a line that is perpendicular to this line.
Answer: 3
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other.
Answer:
Slope = 3
Step-by-step explanation:
The question is asking us to find the slope of the line that is perpendicular to the line whose slope is -1/3.
Main idea: Perpendicular lines have slopes that are opposite reciprocals.
So our task boils down to finding the opposite reciprocal of -1/3.
First, we change the sign from negative to positive. We get 1/3.
Then, we turn the number over. We get 3.
Therefore, the slope is 3.
11. Reduce 48/72 to its lowest terms.
A. 6/9
B.2/3
c. 24/36
D. 30/54
Answer:
its A my friend because: 48/2=24. 72/2=36
24/2=12. 36/2=18
12/2=6. 18/2=9
Solve one half ÷ 8 = ___.
one seventh
one sixteenth
one twenthieth
one thirtieth
Answer:
one sixteenth
Step-by-step explanation:
I hope this helps! Have a lovely day!! :)
log7(49)=2 in exponential form
Answer:
49 = 7²
Step-by-step explanation:
A logarithm is an exponent. The base of the logarithm is the base of the exponent. The base to that exponent is the argument of the log function.
__
The logarithm (exponent) is 2. The base is 7. The argument of the log function is 49. In exponential form, this is written ...
7² = 49