Answer:
There are two ways to do this depending on the information you know.
Step-by-step explanation:
In order for a quadrilateral to be a rhombus, the sides have to be of equal length, so proving that all four sides are the same length would be one way. A second way is to prove that diagonals connecting opposite corners are perpendicular bisectors (connect in such a way that they cut each other into equal pieces at right angles).
Suppose that Eitan rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the
sum of the dice is 8 and B be the event that Eitan rolls doubles. Using the sample space of possible outcomes
below, answer each of the following questions,
What is P(A), the probability that the sum of the dice is 8?
What is P(B), the probability that Eitan rolls doubles?
What is P(A and B), the probability that the sum of the dice is 8 and Eitan rolls doubles?
Are events A and B independent?
Choose 1 answer:
A Yes, events A and B are independent events.
No, events A and B are not independent events.
Given : Eitan rolls a fair six-sided die and a fair four-sided die simultaneously. A be the event that the sum of the dice is 8 and B be the event that Eitan rolls doubles
To find : probability of event A , event B , Event A or B , Event A & B
Solution:
Six Sides Dice has { 1 , 2 , 3 , 4 , 5 ,6 }
4 Sides Dice has = { 1 , 2 , 3 , 4 }
Total possible outcome = 6 * 4 = 24
n(S) = 24
A = Sum of Dice = 8
(4 , 4) , ( 5 , 3) , ( 6 , 2)
n(A) = 3
B = Double ( means same number on each Dice )
B = ( 1 , 1) , ( 2, 2) , ( 3 , 3) , ( 4, 4)
n(B) = 4
A U B = ( 1 , 1) , ( 2, 2) , ( 3 , 3) , ( 4, 4) ( 5 , 3) , ( 6 , 2)
n (A U B ) = { 6 }
A ∩ B = { 4 , 4}
n(A ∩ B) = 1
Probability of Event A = 3/24 = 1/8
probability of Event B = 4/24 = 1/6
Probability of Event A or B = 6/24 = 1/4
Probability of Event A and B = 1/24
Learn more:
You are given one 6 sided dice and an 8 sided dice. The 8 sided die
https://brainly.in/question/12351673
You roll a fair 666-sided die. What is ext{P(roll greater than 4})P(roll ...
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Drag the tiles to the correct boxes to complete the pairs.
Consider the functions below.
f(x) = 12 - 61 – 27
g(t) = 1 - 9
Match the expressions to the correct function combinations.
( + 5)()
(1.9)(*)
(5-8)(=)
13 – 15.12 + 271 + 243
>
2 - 71 - 18
>
22 – 50 – 36
I + 3
Answer:
answer attached
Step-by-step explanation:
just solve them out
The expressions to the correct function combination is (f. g)(x).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
f(x) = 12 - 61 – 27
g(t) = 1 - 9
Now,
To match the expressions to the correct function combinations, you can substitute the values of f(x) and g(t) into the expressions and simplify. For example:
( + 5)() = (f(x) + 5)(g(t))
( + 5)() = ((12 - 6x - 27) + 5)(1 - 9t)
( + 5)() = (17 - 6x)(1 - 9t)
( + 5)() = 17 - 153t - 6x + 54xt
Therefore, by the given equation the answer will be (f. g)(x).
Learn more about equations here;
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#SPJ7
30 POINTS
How many cubic feet of water canthi in-ground swimming pool design below hold?
A) 520 ft3
B) 528 ft3
D) 548 ft3
C) 550 ft3
Answer:
B.
Step-by-step explanation:
1) the volume can be calculated as sum:
V=V₁+V₂;
2) V₁=6*8*8=384 [ft³];
3) V₂=0.5*6*6*8=144 [ft³];
4) the required volume:
V=384+144=528 [ft³]
(80 + 240 times 3) ÷ 20
Solve the equation
Rajani has a bag that contains strawberry chews, cherry chews, and lime chews. She performs an experiment. Rajani randomly removes a chew from the bag, records the result, and returns the chew to the bag. Rajani performs the experiment 38 times. The results are shown below: A strawberry chew was selected 23 times. A cherry chew was selected 4 times. A lime chew was selected 11 times. Based on these results, express the probability that the next chew Rajani removes from the bag will be strawberry or cherry as a fraction in simplest form.
Answer:
[tex]\frac{27}{38}[/tex]
Step-by-step explanation:
P (Srawberry or Cherry)
= [tex]\frac{23 + 4}{38}[/tex]
= [tex]\frac{27}{38}[/tex]
I hope this help out.
Katie lives in the Florida Keys. She loves
to dive and take pictures of marine life.
During her last dive, she used her depth
gauge to change her position relative
to sea level by -4.5 feet to reach her
goal, -12 feet. Let x represent her
initial position. Write and solve an
equation to find x.
Identify the trinomial that is not a perfect square.
A. 64x2 + 48x + 9
B. 25x2 + 70x + 49
C. 100x2 + 60x + 9
D. 121x2 + 100x + 25
Answer:
Option D, [tex]121x^2 + 100x + 25[/tex]
Step-by-step explanation:
Step 1: Determine the one that is not a perfect square
Factor Option A
[tex]64x^2 + 48 + 9[/tex]
[tex](8x + 3)(8x + 3)[/tex]
[tex](8x + 3)^2[/tex]
Factor Option B
[tex]25x^2 + 70x + 49[/tex]
[tex](5x + 7)(5x + 7)[/tex]
[tex](5x + 7)^2[/tex]
Factor Option C
[tex]100x^2 + 60x + 9[/tex]
[tex](10x + 3)(10x + 3)[/tex]
[tex](10x + 3)^2[/tex]
Factor Option D
[tex]121x^2 + 100x + 25[/tex]
Cannot factor this equation with rational number
Answer: Option D, [tex]121x^2 + 100x + 25[/tex]
which is greater 0.209 or 0.21
Answer:
0.21
Explanation:
210 hundredths is larger than 209 hundredths.
Answer:
0.21 because .210 is more than .209
The tubing was 146 feet long if each piece of tubing was cut so that it was 6 feet long how many six-foot pieces could be made from the tubing
In a city election, two people ran against each other to be the next mayor. Candidate 1 received 24,000votes and candidate 2 received 80,000
.
Answer:
What is the question You are just stateing facts?
Step-by-step explanation:
Pleasse I need help Asap!!!!
Help Pleaseeee
Answer:
33
Step-by-step explanation:
simply replace x with 7!
7^2 = 49
49-16=33
NO LINKS!! Use the cylinder shown to mark each statement as true or false. Rewrite and correct any false statements.
Problem 9
Answer: FalseReason:
The height of the cylinder is 2.5 ft. It's misleading because the cylinder is tipped onto its side, so it appears that 4 ft is the height. The height of any cylinder is always perpendicular to the circular base. It might help to rotate the paper so that the circular base is horizontal.
==============================================================
Problem 10
Answer: FalseReason:
The diameter of the base is 4 feet, which divides in half to 2 feet and it's the radius of the circle.
Area = pi*(radius)^2 = pi(2)^2 = 4pi
So the area expression should be either pi(2^2) or pi(4) or 4pi
==============================================================
Problem 11
Answer: TrueReason:
V = pi*r^2*h
V = 3.14*2^2*2.5
V = 31.4 cubic feet
This volume is approximate since pi = 3.14 is approximate.
A trapezoid has sides of length 11 inches, 1.5 inches, 11 inches, and 19.1 inches. What is the perimeter?
Answer:
The Perimeter of the trapezoid = 42.6 inches
Step-by-step explanation:
______
Formula:
let a , b , c , d be consecutively the lengths of the sides of the trapezoid
then
The Perimeter of the trapezoid = a + b + c + d
___________________________________
Suppose a = 11 , b = 1.5 , c = 11 , d = 19.1
therefore,
The Perimeter of the trapezoid = a + b + c + d
= 11 + 1.5 + 11 + 19.1
= 42.6
If $300 is invested at an interest rate of 3.5% per year , find the amount of the investment at the end of 15 years for the following compounding methods
Beth is going to paint her dog's house
this weekend. If her dog's house is
24cm long, 20cm wide and 15cm tall,
how much paint Will Beth need to
buy?
3. Prove that the associative property holds true for (7/8 + 2/5) + 8/3
Answer:
(7/2+2/5)+8/3
=(3.5+0.4)+2.66
=(3.9)+2.66
=6.56
so its 6.56
Step-by-step explanation:
Today when the dwarf planet Ceres is furthest from Earth, it is 564 million km away. 233 days from now, it will be at its closest average distance of 264 million km away. Using this information, formulate a sinusoidal function that models Ceres's distance from Earth.
Answer:
currently 464,833,060 kilometers, equivalent to 3.107217 Astronomical Units. Light takes 25 minutes
To feed his plants logan creates a mixture that requires 3/8 cup of plant food for every gallon of water. If he uses 10 1/2 gallons of. Water what is the total amount of. Plant food he needa
Answer:
[tex]3\ \frac{15}{16}[/tex]
Step-by-step explanation:
The mixture requires 3/8 cup of plant food for every gallon of water
Then it requires (10 1/2)×(3/8) cup of plant food for 10 1/2 gallons of water
Now we have to calculate (10 1/2)×(3/8)
[tex]10\ \frac{1}{2} \ =\ \frac{10\times 2}{2} +\frac{1}{2} \ =\frac{20+1}{2} =\frac{21}{2}[/tex]
[tex]\frac{21}{2} \times \frac{3}{8} =\frac{63}{16} =3\ \frac{15}{16}[/tex]
then he needs :
[tex]\frac{63}{16}\ \ \text (cup\ of\ plant\ food)[/tex]
The ABC brand hand sanitizer is sold at four stores. table below: The bottle size and cost are shown in the Store Size (millilitres) Price Andrea's Store 600 $650.00 Sandra's Store 540 $550.00 Cynthia's Store 480 $530.00 Janet's Store 400 $450.00 Which store has the lowest price per millilitre? a) Andrea's Store b) Sandra's Store c) Cynthia's Store d) Janet's Store
Answer:
can you post the question but more clear I didn't understand
Step-by-step explanation:
post it again I didn't understand
Alice, Bob, and Christy are setting up aquariums. The design of each aquarium is below. Alice has enough pebbles to cover 9 square feet. Does she have enough to put a layer of pebbles on the bottom of Aquarium A?
Answer:
answer below
Step-by-step explanation:
alice- no
bob- no
christy- yes
you just gotta find the area
Find the area of the figure
Answer:
132cm^2
Step-by-step explanation:
to solve for the area of this we can split it into smaller shapes and sum the areas afterward-
the top rectangle has an area equal to Length x Width
4x7 = 28cm^2
the centre rectangle is done similarly-
7x8 = 56cm^2
lastly the two triangles which are solved with base x height divided by two
now since we know that the centre piece is 7cm across, and that the two side triangles are equal in size, that means that we know the base to be 19-7 divided by 2 which gives 6 each-
[tex]\frac{(6)(8)}{2}[/tex] (2) = (6)(8) = 48cm
now summing them we have 28 + 56 + 48 = 132cm^2
saved: 12:19 PM
Week 1
Week 2
Week 3
Total
Lettuce
$5.48
?
$3.55
$12.00
Apples
$3.57
$ 2.12
$4.44
?
Chicken
$8.12
$10.13
?
$20.45
Enter his total cost for lettuce, apples, and chicken during Week 2.
$
Answer:
15.22
Step-by-step explanation:
You add the amount for lettuce on week 1 and week 3. then you subtract the total for lettuce from that number to get lettuce for week 2. After that just add the lettuce, apples, and chicken in the week two section and thats your answer
In a certain Algebra 2 class of 21 students, 12 of them play basketball and 14 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
The probability that a student is chosen randomly from the class plays both basketball and baseball is 4/21
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcomeIf the total number of people in the class is 21 students, hence the total outcome is 21Get the number of students that plays both basketball and baseball
n(U) = n(B)only + n(Ba)only + n(BnBa) + n(BuBa)'
21 = 6-x + 14-x + x + 5
21 = 25 -x
x = 25 - 21
x = 4
Hence 4 students play both basketball and baseball
Pr(basketball and baseball) = 4/21
Hence the probability that a student chosen randomly from the class plays both basketball and baseball is 4/21
Learn more on probability here; https://brainly.com/question/13604758
1. P= 17 and t=25
2. T= 15 and a=9
3. P=10 and < A=50°
4. A=13 AND < A=37°
5. T=20 and < P=66°
Step-by-step explanation:
MARK A BRAIN LESS
CARRY ON LEARNING
If a permutation is chosen at random what is the probability that it begins with at least two A's
Answer:
Starting with AT LEAST 2 A's means starting with 3 A's, or starting with 2 A's with some different letter third.
P(AAA...) = (3/9)(2/8)(1/7) = 1/84
Step-by-step explanation:
PLEASEEEE 100 POINTS AND BRAINLIEST PLEASEE HELPP ASAPPPPPPPPP!!!!! THANKS <3333
Answer:
2 5 7
Step-by-step explanation:
hopefully it helps sorry if it wrong
Answer:
here is your answer
Step-by-step explanation:
Find the perimeter and area of the shaded region.
Answer:
1. 144 m; 2. 720m²;
Step-by-step explanation:
1.
First we need to know how much edges are of the figure. Since there is 12, we need to multiple the length of an edge to how many of them are:
12 • 12 = 144 m
2.
Since one edge is 12 m, first calculate the plot of a little square (as there are 5 in the pic):
12 • 12 = 144 m² (one square)
Now we know that one square's plot is 144 m².
Since there is 5 of them, we need to multiply the plot 5 times, since there are five mini squares:
144 • 5 = 720 m²
Now we know the plot of the full figure.
What is the interquartile range of the data represented in the box plot below??
A.30
B.50
C.60
D.70
Option A: 30.
Step-by-step explanation:
Hope this helped.
Geometry. please help. image is attached. will give brainliest
Answer:
B (x= 14/3 , y= -5/3)
Step-by-step explanation:
A (x= 6, y= 1) and C (x= 2, y = -7)
On x-axis between A and C are 6 -2 = 4 units
On y-axis between A and C are 1 + 7 = 8 units
AB = (1/3) BC
Divide the distance between AC in 3 pieces
On x-axis will have 4/3 units on each piece
On y-axis will have 8/3 units on each piece
Now move away from A the 1/3 distance
A (x= 6, y= 1)
B (x= 6 -(4/3) , y= 1 -(8/3))
B (x= (18- 4)/3) , y= (3-8)/3))
B (x= 14/3 , y= -5/3)
Based on the histogram, how many items cost less than $3.00 per pound?
here are the option I already eliminated one
A. 1
B. 3
C. 7