Answer:
i) The probability that the number on the ticket is even is [tex]\mathbf{\frac{1}{2}}[/tex]
ii) the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]
iii) The probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]
iv) the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]
Step-by-step explanation:
Tickets numbers are: 4, 5, 6......48, 49
So, total tickets in box = 46
We need to find probability that the number on the ticket is:
i) an even number.
Even number in tickets are: 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48
Total number of favourable outcomes = 23
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 23
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{23}{46}\\Probability=\frac{1}{2}[/tex]
So, the probability that the number on the ticket is an even number is [tex]\mathbf{\frac{1}{2}}[/tex]
ii) A number less than 16
Even number in tickets are: 4,5,6,7,8,9,10,11,12,13,14,15
Total number of favourable outcomes = 12
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 12
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{12}{46}\\Probability=\frac{6}{23}[/tex]
So, the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]
iii) a perfect square
Perfect squares are: 4,9,16,25,36
Total number of favourable outcomes = 5
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 5
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{5}{46}[/tex]
So, the probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]
iv) a prime number less than 30.
Prime numbers less than 30 are: 5,7,11,13,17,19,23,29
Total number of favourable outcomes = 8
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 8
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{8}{46}\\Probability=\frac{4}{23}[/tex]
So, the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]
Tony buys 3 bags of oranges there are 6 oranges in each bag. which expression represents the total number or oranges
Answer:
3x6
Step-by-step explanation:
Brainliest to the correct answer
No, x and y do not have a proportional relationship because if we do cross multiplication they are not equal to each other.
4x^3(5x) = what,
will mark brainliest
Answer:
the answer is 20x^4
Step-by-step explanation:
too long to explain, simple answewr
Find the 52nd term of the arithmetic sequence-8, -12, -16,...
Answer:
-212
Step-by-step explanation:
This question seems to be incrementing by steps of -4, starting at -8. To get the 52'nd term, we can simply start at the first term and add that -4 51 more times.
Assuming that negative eight is the first term then, we get:
-8 - 4 * 51
= -8 - 204
= -212
The 52nd term of the sequence will be -212.
What is a sequence?A sequence of events or things is a number of events or things that come one after another in a particular order.
Given a sequence, -8, -12, -16,...
nth term of a sequence is given by
an = a + (n-1)*d
a(-212) = -8 + (52-1)*-4
a(-212) = -8-204
a(-212) = -212
Hence, The 52nd term of the sequence will be -212.
For more references on sequences, click;
https://brainly.com/question/21961097
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Please help! I’ll mark brainlist and 5 stars!
(You have to see which one is right for the sentence provided, and which ones are false out of A-D)
A. The equation of the line is y = 1/2x
B. Sasha can make 60 gift bags in 2 hours.
C. The constant of proportionality is l = 1/2
D. Sasha can make 2 bags per minute.
Answer:
D
Step-by-step explanation:
The reason D is false is because it states that Sasha can make 2 bags per minute while she cant make 2 bags per minute. She can make half a bag per minute. D is wrong 100%
Answer:
Step-by-step explanation:
Distance covered = speed × time.
Sasha runs at a constant speed of 3.8 meters per second for 1/2 hour.
This means distance covered while running would be
3.8 × 1/2 = 1.9 meters
Then she walks at a constant rate of 1.5 meters per second for 1/2 hour. This means distance covered while walking would be
1.5 × 1/2 = 0.75 meters
Total distance that Sasha covered while running and walking in 60 minutes would be
1.9 + 0.75 = 2.65 meters
Step-by-step explanation:
for geometry help thanks <33
Answer:
12
Step-by-step explanation:
Write an equation to represent the table. (1 point)
Boxes of Candy
5
7
9
Pieces of Candy
80
112
144
9514 1404 393
Answer:
pieces of candy = 16 × boxes of candy
Step-by-step explanation:
Each "pieces" number is 16 times the corresponding "boxes" number, so we can write ...
pieces of candy = 16 × boxes of candy
__
If you like, you can assign variables. Let x = boxes of candy, and y = pieces of candy. Then you have ...
y = 16x
Write an equation of the line that passes through (-4,3) and (0,6
)
Answer:
y=¾+8
Step-by-step explanation:
Using the approach y-y1=m(x-x1),where m is the slope defined by ∆y/∆x
So ∆y/∆x=y2-y1/x2-x1
m=6-3/0-(-4)
m=¾
Now plug in m=¾ into the approach and simplify
y-3=¾(x-(-4))
y-3=¾(x+4) Multiply through by 4
4y-12=3x+12 Transpose it for y
4y=3x+12+12
4y=3x+24 divide through by 4
y=¾+8
Someone please help me I’m struggling rn
Answer:
HAVE A GOOD DAY !! YAYAYA
Find the sale price of the item. Round to two decimal places if necessary. Original price: $82.00 Markdown: 33%
Answer:
54.67 Dollars
Step-by-step explanation:
82 / 3 = 27.33, 82 - 27.33 = 54.67 :D
Answer:54.94
Step-by-step explanation:
Question 24 (1 point)
Which of the following is NOT a Congruence Postulate/Theorem
SSS
4
АА
SAS
ASA
Find the value of f (-2)for the function f (c) = 5x+8
F(-2) means to replace x in the equation with -2 and then solve.
5(-2) +8 = -10 + 8 = -2
The answer is -2
p(x)=6/7x+4 What is P(42)
40
P(42) = (6/7)(42) + 4 = 36 + 4 = 40
At a real estate agency, an agent sold a house for $396,000. The commission rate is 7.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
$29,700 and $79,200
Step-by-step explanation:
Step one:
given
The selling price of the house is $396,000
The commission rate is 7.5% for the real estate agency
The commission rate for the agent is 20%
Step two:
1. How much did the agency make on the house?
This amount is 7.5% of $396,000
= 7.5/100*396,000
= 0.075*396,000
=$29,700
2. How much did the agent earn in commission?
This amount is 20% of $396,000
= 20/100*396,000
= 0.2*396,000
=$79,200
plz help it’s the pythagorean theorem
a rectangular window frame has demotions expressed by 3x and (2x -5). find a simplified expression for its perimeter and determine the actual perimeter if x equals 3meteres
Answer: Simplified Equation (10x-10)
Answer if 3=x is 20
Step-by-step explanation:
the original side lengths are 3x and (2x-5) so multiply both those by 2.
Now you have 6x and 4x-10.
Now combine those and you have 10x-10.
Then plug in 3 for x
If the height of Mount Everest is about 8.8 time 10 to the third power meters and the height of the Empire State Building is about 3.8 times 10 to the second power meters which of these statements is a true
Answer: C. Mount Everest is about 23 times as tall as the Empire State Building
Step-by-step explanation:
The options are:
A.There is no way to compare these heights
B.Mount Everest is about 40 times as tall as the Empire State Building
C.Mount Everest is about 23 times as tall as the Empire State Building
D.The Empire State Building is about 23 times as tall as Mount Everest
Mount Everest = 8.8×10^3 meters = 8800 meters
Empire State Building = 3.8×10^2 = 380 meters
Mount Everest is (8800 / 23) = 33 times as tall as the Empire State Building. Therefore, the correct option is C.
Answer:
Mount Everest is about 23 times as tall as the Empire State Building. Hope that helps!
In which quadrant is point C located
Answer:
Quadrant 4
Step-by-step explanation:
An 8-column table with 14 rows titled Table 1, Employment by major industry sector, 1996, 2006, and projected 2016. Column 1 is labeled Industry sector with entries services-providing, utilities, wholesale trade, retail trade, transportation and warehousing, information, financial activities, professional and business services, educational services, health care and social assistance, leisure and hospitality, other services, federal government, state and local government. Column 2 is thousands of jobs in 1996 with entries 97,042.9, 639.5, 5,522.1, 14,142.6, 3,935.5, 2,940, 6,968.6, 13,461.8, 2,077.5, 11,604.8, 10,776.5, 5,434.9, 2,877, 16,662.1. Column 3 is labeled thousands of jobs in 2006 with entries 114,407.3, 548.5, 5,897.7, 15,319.4, 4,465.8, 3,054.9, 8,363.2, 17,551.6, 2,918.4, 14,919.8, 13,143.4, 6,234.6, 2,728.3, 19,261.7. Column 4 is labeled thousands of jobs in 2016 with entries 130,189.7, 517.6, 6,326.2, 16,006.4, 4,962, 3,266.7, 9,570.1, 21,643.7, 3,527.4, 18,954.1, 15,016.7, 7,077.2, 2,625.7, 20,696.1. Column 5 is labeled Numeric change 1996 to 2006 with entries 17,354.4, negative 91, 375.6, 1,176.8, 530.3, 114.9, 1,394.6, 4,089.8, 840.9, 3,315, 2,366.9, 799.7, negative 148.7, 2,599.6. Column 6 is labeled numeric change 2006 to 2016 with entries 15,782.4, negative 30.9, 428.5, 687, 496.2, 211.8, 1,206.9, 4,092.1, 609, 4,034.3, 1,873.3, 842.6, negative 102.6, 1,434.4. Column 7 is labeled Average annual rate of change, 1996 to 2006 with entries 1.7, negative 1.5, .7, .8, 1.3, .4, 1.8, 2.7, 3.5, 2, 1.4, negative .5, 1.5. Column 8 is labeled average annual rate of change, 2006 to 2016 with entries 1.3, negative .6, .7, .4, 1.1, .7, 1.4, 2.1, 1.9, 2.4, 1.3, 1.3, negative .4, .7. Based on the above chart, which industry’s average annual rate of change is projected to decrease the most in the 2006-2016 period as compared to its average annual rate of change during 1996-2006? a. Utilities b. Educational services c. Federal government d. State and local government
Answer:
It's not A or D it has to be B or C.
Step-by-step explanation: i just took the quiz on edge and it wasn't A or D.
Answer:
Its B
Step-by-step explanation:
pls helppp
math work
bleh
Answer:
m = -10
Step-by-step explanation:
>:)
Answer:
m= -10
Step-by-step explanation:
2< -7 - (-10)
2< -7 + 10
2< 3
CAN SOMEONE ASAP HELP ME PLEASE
Answer:
Step-by-step explanation:
6+11=17/2*8=136/2
68.
pls help me solve this
Answer:
x=10
Step-by-step explanation:
Because BC is a mid segment
Answer:
10
Step-by-step explanation:
These are similar triangles, which means that the ratio between 16 to 8 will equal x+10 to x. This could be written out as 16/8 = x+10/x. 16/8 is 2, which means that x+10 is twice the amount of x. We can write this out as 2x = x+10. We can then simplify this and get x = 10
pls help :( i’ll give brainliest
Answer:
x=12; Converse of conrresponding angles postulate
Step-by-step explanation:
On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:
8x-17=5x+19
Solve
X=12
The converse used was the Converse of Corresponding Angles Postulate
which of the following gives all of the sets that contain √9?
a. the set of all irrational numbers
b. the set of all natural numbers, the set of all whole numbers, and the set of all integers
c. the set of all integers, the set of all rational numbers, and the set of all real numbers
d. the set of all natural numbers, the set of all whole numbers, the set of all integers, the set of all rational numbers, and the set of all real numbers
Soldiers for the nation of Gilead. “Blessed Be the Fruit”: The standard greeting amongst Gilead residents. The traditional reply is “May the Lord open.” “Under His Eye”: The Gileadean equivalent of “Aloha” — it works as both a hello and a goodbye.
Find the original ordered pairs.
I have 8 questions witch means 80 points answer correctly!
[tex] \Large \pink{\tt \dfrac{35}{36}}[/tex]
Solution :[tex] \tt \dfrac{3}{4} + \dfrac{2}{9}[/tex]
By taking LCM = 4 × 9 = 36
[tex] \tt = \dfrac{3 \times 9}{4 \times 9} + \dfrac{2 \times 4}{9 \times 4}[/tex]
[tex] \tt = \dfrac{27}{36} + \dfrac{8}{36}[/tex]
[tex] \tt = \dfrac{27 + 8}{36}[/tex]
[tex] \tt = \dfrac{35}{36}[/tex]
[tex] \pink{\tt \therefore \: Answer \: is \: \dfrac{35}{36}}[/tex]
NEED ANSWER ASAP!!!!!!!!
An airplane is flying at 32,000 feet when it starts it’s decent. It is
descending at a rate of 2000 feet per minute. Let x represent the minutes
of the flights descent and y represent the plane’s altitude.
a. Fill in the table.
b. Write an equation in slope-intercept form for the plane’s altitude.
c. Graph the equation from part (b).
Step-by-step explanation:
table
0 32000
1 30000
2 28000
3 26000
4 24000
question 2
y= - 2000*x+32000
graphic
-3/4-5/8=
This is a simple math problem
But it’s to hard for me
And I really need help
Not from someone who doesn’t know the answer
Suri saved $50 of her paycheck the first week she worked and $25 of her paycheck each week after the first week.
How many weeks did it take Suri to save a total of $1,000?
Answer: 40 weeks
Step-by-step explanation:
1000/x=25
1000 divided by 25=40
x=40 weeks
Nathan has a 16 ounce energy drink. He drinks 9 ounces. Enter the percentage of ounces Nathan has left of his energy drink. Round your answer to the nearest hundredth
Answer:
56%
Step-by-step explanation:
Let me know if you need an explanation! Hope this helped :)
Answer:
43.75%
Step-by-step explanation:
step 1
16-9=7
7ounce remains
step2
7 of 16 ounce remains
convert into percentge
7/16×100=43.75%