More than 50 in mathematical expression is written as >50.
Any two integers can be compared using the greater than and less than symbols. Greater than and less than symbols are used to indicate whether one number is greater than or less than another. The greater than sign (>) is used when the first number exceeds the second number. The less than sign (<) is used when the first number is less than the second number.
The quantity on the left of the > sign is the greater quantity. It could be a variable or expression [like 3x - 2 > 50].
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At the school carnival, 50 sixth-grade, 30 seventh-grade, and 40 eighth-grade students bought tickets for the raffle. At the end of the night, Quincy draws out two names without replacement. What is the probability that she draws two-seventh-grade students? Please explain?
Answer:
1/60
Step-by-step explanation:
50+30+40=120 (take all the students and add them together.)
2/120 (you only want 2 seventh graders)
simplified is 1/60
The probability that Quincy draws two-seventh-grade students is 0.061, or 6.1%.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
There are a total of 50 + 30 + 40 = 120 students who bought tickets for the raffle.
Quincy draws two names without replacement, which means that the total number of possible outcomes is given by the combination formula.
Total number of outcomes = C(120, 2) = 7,140
Now, we need to find the number of outcomes in which Quincy draws two-seventh-grade students.
Let us calculate the number of ways in which Quincy can choose 2 students from the 30 seventh-grade students
Number of ways to choose 2 seventh-grade students = C(30, 2) = 435
Therefore, the probability of Quincy drawing two-seventh-grade students is:
Probability = Number of desired outcomes / Total number of outcomes
Probability = C(30, 2) / C(120, 2)
Probability = 435 / 7,140
Probability ≈ 0.061
Hence, the probability that Quincy draws two-seventh-grade students is 0.061, or 6.1%.
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Maggie is creating a cushion for a circular stool. The stool has a diameter of 14 inches. If she needs fabric to extend 2 inches all the way around the cushion, how much fabric will she need?
Answer:
396 in.^2
Step-by-step explanation:
The cushion is shaped like a cylinder with 14 inch diameter and 2 inch height.
We need to find the surface area of the cylinder.
diameter = 14 in.
radius = diameter/2 = 7 in.
height = 2 in.
A = 2(pi)r^2 + 2(pi)rh
A = 2(3.14159)(7 in.)^2 + 2(3.14159)(7 in.)(2 in.)
A = 395.84 in.^2
A = 396 in.^2
The amount of fabric that Maggie will need for manufacturing the cushion is 395.84 sq. inches.
What is the surface area of a cylinder?Supposing that a considered cylinder has radius of 'r' units and height 'h' units, then the surface area of that cylinder would be:
[tex]S = \pi r^2 + \pi r^2 + 2\pi r h = 2\pi r(r + h) \: \rm unit^2[/tex]
The table's diameter is of 14 inches. That means, its radius is of 14/2 = 7 inches.
The cushion is going to have 2 inches extra from all sides, so approximately, it is going to be like a cylinder with radius 7 inches and height 2 inches.
The fabric needed for making cushion (from outer side only) in terms of area is same as the surface area of cylinder with radius of 7 inches and height of 2 inches.
Thus, the amount of fabric that Maggie will need for manufacturing the cushion is [tex]S = 2\pi r(r + h) = 2\pi \times 7(7 + 2) \approx 395.84 \: \rm in^2[/tex]
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I will give brainlist if someone awnsers this correctly.. thank u have a good day!
Answer:
Step-by-step explanation:
3. The sale price is $37.50 and the discount is $12.50 off.
You can get this by doing 25/100 = x/50 and solving the equation to find the discount and then use the discount and subtract it from the total
4. The Forever 21 dress is less because if you use the equation that we used for question 3 you can find the discount of both and then use the discount and subtract from the total.
Hope that helps!
(6,3); (1,4)
Slope
Giving brainless answer
Answer:
-(1/5)
Step-by-step explanation:
Well slope is basically
(y2-y1) / (x2-X1)
Subsitute in those numbers and solve, you’d get -(1/5)
A store had 112 diet sodas. The ratio of diet sodas to regular sodas was 8:4. How many regular sodas were there?
Answer:
56
Step-by-step explanation:
There are two ways the answer to this question can be determined
Method 1 : the fast method
We know that 8 is twice 4
4 x 2 = 8
The ratio of diet soda = 8
the ratio of regular sodas = 4
Diet sodas = 112
the number of regular sodas = 112 / 2 = 56
Method 2 : The long method
I would first determine the total number of diet and regular sodas. Let the total number be represented by d
from the question, the following equation can be derived :
(8/12) x d = 112
divide both sides of the equation by 12/8 to determine the value of d
d = 112 x (12/8) = 168
We can now derive a value for the number of regular soda
regular sodas = ( ratio of regular sodas / total soda) x total number of sodas
(4/12) x 168 = 56
A bag contains a mixture of 300 red and 75 yellow candies. If you choose one candy at random, what is the probability that it is yellow?
Answer: A solid 4% chance of picking a yellow
brainliest plz
Step-by-step explanation: We first should combine 300 and 75 because those are the total values of the candies in the bag. After, we should divide the different candies by the total amount of them getting the numbers .8 for red and .2 for yellow. Since the question is that the yellow occurs but not the red and you can miss the bag you would want to calculate what the probability would be to have B happen but not A. The equation for that is:
(1 - P(A)) × P(B)
where P(A)=.8 and P(B)=.2
plugging in all things it would be
(1-.8)*.2
which equals .04 or 4%
Round 4.743 to the nearest hundredth
Answer:
4,700
Step-by-step explanation:
4 is not big enough to round the 7 up to a 8
if the sum of roots of the quadratic equation x^(2)-3kx-(k+2)=0 is equal to the product of roots,find k
Answer:
1/2
Step-by-step explanation:
quadratic equation is ax²+bx+c=0
Products of roots is c/a
Sum of roots is -b/a
On comparing the above equation with general equation we have
a=1
b=-(3k)
c=-(k+2)
Now it is given that sum of roots and product of roots is equal
So,
-b/a=c/a
-b=c
-[-(3k)]=-(k+2)
3k=-k-2
3k+k=-2
4k=-2
k=-1/2
Rachel types 50 words per minute. She needs to type a 1,500 word report. Determine how many minutes it will take her to type the report from the solution set
Answer:
30 min
Step-by-step explanation:
1500/50=30
Answer:
30 minutes
Step-by-step explanation:
1500 words/50 words per minute = 30 minutes
? Pls help!!!!!!!!!!!!
Question 1: Are the following two monomials multiplied correctly?
Yes or no
Which expression can be used to find the volume of this box 3ft 7ft 5ft? A: 35 + 3 B: 35 x 3 C: (7 + 5) x 3 D :7 + 5 + 3 E: 35 + 35 +35
Answer:
(35 * 3)
Step-by-step explanation:
Given the box with dimension : 3ft * 7ft * 5ft
The volume of the box is :
Length * width * height
(3feets * 7 feets * 5 feets) = 3 * 7 * 5 = 105 feet³
From the options given, the expression which could be used to correctly find the volume would be :
(7 * 5) * 3 = 35 * 3 = 105 ft³
This table represents the monthly fees for checking accounts at two banks.
Which statement is best supported by the information in the table?
Answer options:
a) The fee at Sunset Bank will be less than the fee at Oceanview Bank only when the checking account balance is more than $200.
b) The fee at Sunset Bank will always be less than the fee at Oceanview Bank.
c) The fee at Sunset Bank will always be more than fee at Oceanview Bank.
d) The fee at Sunset Bank will be less than the fee at Oceanview Bank only when the checking account balance is less than $200.
can someone please help I don’t get this
Answer:
mABC = 110
Step-by-step explanation:
HELP ME PLSLSS I WILL MARK BRAINLEST
Answer:
1017.36cm^3
Step-by-step explanation:
9^2pi*4=1017.36
3 + 2x - y = 0, -3 - 7y = 10x}
Answer:
In point form:
( -1 , 1 )
In equation form:
x = − 1 , y = 1
What is the measure of each interior angle of the regular polygon pictured below? If necessary, round to the nearest tenth.
Answer:
144
Step-by-step explanation:
Sum of interior angles:
180(n-2)
180(10-2)
1440
Measure of each interior angle:
1440/10=144
Jan notes that 6 out of every 18 cars that pass her on the
highway are red. Which of the following is the best prediction of
how many red cars will pass Jan out of the next 54 cars that go
by?
A) 6
B) 18
C) 48
D) 54
Answer:
B) 18
Step-by-step explanation:
6 out of 18 is 6/18 = 1/3
1/3 x 54 = 18
SOMEONE HELPPPPPPPP PLEASE?!!?!!!??!!?
Answer:
(10, 5)
Step-by-step explanation:
The circle is located at (10, 5)
A bill of $424 was paid with $5 bills and $2 bills. A total of 128 bills were used. How
many of them were fives?
Answer: 56
Step-by-step explanation:
Let the number of $5 be x
Let the number of $2 be y.
Based on the information given, we can form an equation as:
x + y = 128 ........ i
5x + 2y = 424 ....... ii
Multiply equation i by 2
Multiply equation ii by 1
2x + 2y = 256 ...... iii
5x + 2y = 424 ....... iv
Subtract iii from iv
3x = 168
x = 168/3
x = 56.
Therefore, there were 56 $5 bills.
pls dont put links or I'll report ty
x < 9
_
Step-by-step explanation:
I am not sure if this is correct. but i think the answer is x with closed circle so that will mean underlined.
can someone please help i beg you. i have to say why this is wrong and solve this correctly. i beg you please
.Step-by-step explanation:
Hey guys I really need help can somebody help me please I’m struggling
Answer:
C
Step-by-step explanation:
IQR means interquartile range.
first, lets organize the numbers in ascending form.
21, 23, 25, 29, 30, 31, 33, 34
the median, or the middle number is between 29 and 30.
we need to use the method Q3-Q1
find the median of the two halves.
Q3 is 32 (between 31 and 33) and Q2 is 24 (between 23 and 25)
32 - 24 = 8
the answer is 8
I just need help on confirming my answers please.
Answer:
A and D would be the correct answers
Step-by-step explanation:
help please thank you!
Answer:
yes
Step-by-step explanation:
good
Whats 50x^3 - 23x +9
anegays this for my friends
Answer: there are no like terms
I'm not sure if you have the wrong equation but there are no like terms
The product of two consecutive positive integers is 1,332. Explain how you can write and solve a quadratic equation to find the value of the larger integer.
Answer:
The numbers can be written as x and x + 1. Set the product of the numbers equal to 1,332 to get x(x + 1) = 1,332. You can solve the quadratic equation by using the quadratic formula, completing the square, or factoring. When you solve the quadratic equation, you find that x = –37 and 36. Since the question asked for positive integers, the only viable solution is x = 36. To solve for the larger integer, you add 1 to 36 to get an answer of 37.
Step-by-step explanation:
sample response
The first consecutive number is 36 and the second consecutive number is 37.
What are the consecutive numbers?Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
Let the first consecutive number be x and the second consecutive number be (x+1).
The product of two consecutive positive integers is 1,332.
[tex]\rm x\times (x+1)=1332\\\\x^2+x=1332\\\\x^2+x-1332=0\\\\x^2+37x-36x-1332=0\\\\x(x+37)-36(x+37x)=0\\\\(x+37)(x-36)=0\\\\x+37=0, \ x=-37\\\\x-36=0, \ x=36[/tex]
(Ignoring the negative value of x).
The first consecutive number = x = 36
The second consecutive number = x+1 = 36 + 1 = 37
Hence, the first consecutive number is 36 and the second consecutive number is 37.
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Describe the translation between the blue pre-image and the Maroon image.
(Multiple Choice In image)
Step-by-step explanation:
D.. all points on blue are translated 7 units downwards
What’s the answer to this?!!!!!
Answer:
a = 6.7
Step-by-step explanation:
a² + b² = c²
a² + 6² = 9²
a² + 36 = 81
a² = 45
[tex]\sqrt{a^2} =\sqrt{45}[/tex]
a = 6.7
can some give me the anwsers
Answer:
150 -160
Step-by-step explanation:
I not amazing at this but i do know this is kinda hard. sorry if it is wrong