Answer:
Relative frequency for guest who will win the prize:
Relative frequency = 50%
Step-by-step explanation:
Total No. of guest = 500
No. of Guests with even-numbered tickets:
Ticket NO. 2 = 42
Ticket NO. 4 = 56
Ticket NO. 6 = 43
Ticket NO. 8 = 41
Ticket NO. 10 = 68
Total No. of Guest with even-numbered ticket = 42+56+43+41+68
Total No. of Guest with even-numbered ticket = 250
So.
Relative frequency = (frequency of desirable event/ total frequency) · 100
Relative frequency = (250/500)· 100
Relative frequency = 50%
What is the value of the angle marked with I?
3.2
87°
3.2)
3.2
C
3.2
50 points. Please quick.
Drag each condition to the correct location on the table. Match each condition to the number of triangles that can be constructed to fit the condition.
Answer:
Condition A.
A rectangle with four right angles
There can be many quadrilaterals satisfying this condition.
Condition B.
A square with one side measuring 5 inches
There can be only one quadrilateral satisfying this condition.
Condition C.
A rhombus with one angle measuring 43°
There can be many quadrilaterals satisfying this condition.
Condition D.
A parallelogram with one angle measuring 32°
There can be many quadrilaterals satisfying this condition.
Condition E.
A parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches.
There can be only one quadrilateral satisfying this condition.
Condition F.
A rectangle with adjacent sides measuring 4 inches and 3 inches.
There can be only one quadrilateral satisfying this condition
Step-by-step explanation:
Answer:
No Triangles: A, C
One Triangle: D, F
Many Triangles: B, E
Step-by-step explanation:
Did it on Edmentum and got it right.
The segment shown below could form a triangle. 6, 5, 8
AC 6 , CB 5, BA 8
Answer:
Yes
Step-by-step explanation:
In order to form a triangle sum of the lengths of any two sides must always be greater than the length of the third side.
Here,
6 + 5 = 11 > 8
5 + 8 = 13 > 6
8 + 6 = 14 > 5
Given side lengths satisfy above condition. Hence the given segment can form a triangle.
Simplify the expression.
[tex]\frac{6}{1+\sqrt{3} }[/tex]
Answer:
Step-by-step explanation:
Rationalize the denominator by multiplying both denominator & numerator by the conjugate of the denominator.
Conjugate of the denominator 1 + √3 is 1 - √3
[tex]\frac{6}{1+\sqrt{3}}=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{1^{2}-(\sqrt{3})^{2}}\\\\=\frac{6(1-\sqrt{3})}{1-3}\\\\=\frac{6(1-\sqrt{3})}{-2}\\\\=(-3)(1-\sqrt{3})\\\\=-3+3\sqrt{3}[/tex]
What is the exact value of sinF?
Answer:
Option 2
Step-by-step explanation:
To find the sine of F, we have to find the length of the hypotenuse which is 2√13 from the Pythagorean Theorem. Then, sinF = opposite side / hypotenuse = 4 / 2√13 = 4√13 / 26 = 2√13 / 13. Hope this helps!
Your school is planning a field trip to a history museum. They are going to rent a large bus for $450. The cost of the ticket to the museum is $15.75. Write an equation to represent this situation. Then, find how many people need to go on the trip for it to cost $40 per person.
Answer:
19
Step-by-step explanation:
To write an equation for the first situation, you need to determine which factors can be changed. The bus will not change since you can have multiple people in one. The ticket to the museum is per person. This will change depending on how many people there are.
450 + 15.75x
For the second equation, you need to find how many people can go for it the cost to be equal to $40 per person. Set the equation equal to $40 per person and solve.
450 + 15.75x = 40x
450 = 24.25x
x = 18.56
Round up to 19 since you can't 0.56 of a person.
What is the interquartile range of the box and whisker plot
Answer:
(IQR) interquartile range = 5
Step-by-step explanation:
Lower quartile: 48
Upper quartile: 53
Median: 52
Lowest value: 46
Highest value: 55
(IQR) interquartile range: Upper quartile - Lower quartile = final answer
(IQR) interquartile range: 53 - 48 = 5
4) Grant had an account balance of $550 in her checking account. Over the next month, he deposits $25, pays his annual credit card fee of $100.00, and makes ATM withdrawals of $200.00 and $80.00 from an ATM that charges a $2.50 fee per transaction. What is his account balance at the end of the month?
Enter your answer as a number, for example: 260
Answer:
190
Step-by-step explanation:
550 + 25 = 575
575 - 100 = 475
475 - 202.5 = 272.5
272.5 - 82.5 = 190
The account balance at the end of the month would be; 190 dollar.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We have given that Grant had an account balance of $550 in her checking account.
Then he deposits $25,
550 + 25 = 575
So he pays his annual credit card fee of $100.00,
575 - 100 = 475
Then he makes ATM withdrawals of $200.00
475 - 202.5 = 272.5
Then $80.00 from an ATM that charges a $2.50 fee per transaction.
272.5 - 82.5 = 190
Therefore, the account balance at the end of the month would be; 190 dollar.
Learn more about account here;
https://brainly.com/question/15641418
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Help on an input question?
Answer:
The input is the letter in the parentheses.
Step-by-step explanation:
f(h) is h
g(f) is f
h(g) is g
Is 0.11 * 10-6 in scientific notation? If not, explain.
The number is in scientific notation.
No, it is not in scientific notation. The number is not written as a product of 2 factor
No, it is not in scientific notation. The first factor is not less than 10.
No, it is not in scientific notation. The first factor is not greater than or equal to 1.
Answer:
No, it is not in scientific notation. The first factor is not greater than or equal to 1.
Step-by-step explanation:
Scientific notation is a method of writing numbers as the product of two factors where the first factor is a number whose absolute value is greater than or equal to 1 but less than 10.
Answer:
last option
Step-by-step explanation:
In scientific notation the number being multiplied by the power of 10 has to be in between 1 and 10, and since 0.11 doesn't satisfy this the answer is it is not in scientific notation because the first factor is not greater than or equal to 1.
The circumference of a redwood tree trunk is 16 ft, and it is 100 ft tall. What is the approximate volume of the redwood tree trunk?
O2,560rt ft
O 640 ft
O 25,600r ft
O 6,400rt ft
Answer:
O 25,600r ft
Step-by-step explanation:
Volume =πr2h
= π×82×100
= 6400π
= 20106.192982975 feet ^3
Answer:
6,400π ft3
Step-by-step explanation:
took test and got it right
an expression is given: 35c + 14b - 7 . use the GCF of the terms to write an equivalent expression.
Answer:
7(5c+2b-1)
Step-by-step explanation:
GCF stands for greatest common factor, so you need to find a common factor between 35, 14, and -7. Use a method of your choice to find the GCF and you should find that it's 7. Then, you take the 7 "out" and put parentheses around the original equation while dividing every "term" by 7.
Answer:
k
Step-by-step explanation:
Charlie's puppy, Coby, weighs 8 pounds. How many ounces does Coby weigh?
Answer:
128 oz
Step-by-step explanation:
recall that 1 lb is 16 oz
hence 8 lbs = 8 x 16 = 128 oz
Alex drew a shape that belongs to both the category of rhombuses and the category of rectangles.
Part A
Alex said the most specific name for the shape is a quadrilateral. Is Alex correct? Explain why or why not.
Part B
Name one additional category of polygons that Alex's shape belongs to. Justify your answer.
Answer:
yes because they have equal sides
It can also be called a polygon because they have congruent sides.
4(2x-3)+8(x-4)=2(2x+6) help plzzz
Answer:
x = 14/3
Step-by-step explanation:
4(2x-3)+8(x-4)=2(2x+6)
Distribute
8x -12 +8x - 32 = 4x +12
Combine like terms
16x -44 = 4x+12
Subtract 4x
16x-4x -44 = 4x+12-4x
12x -44 =12
Add 44 to each side
12x-44+44 = 12+44
12x = 56
Divide each side by 12
12x/12 = 56/12
x = 14/3
Answer:
[tex]x=\dfrac{14}{3}[/tex]
Step-by-step explanation:
[tex]4(2x-3)+8(x-4)=2(2x+6)[/tex]
Expand parentheses:
[tex]8x-12+8x-32=4x+12[/tex]
Combine similar terms:
[tex]16x-44=4x+12[/tex]
Subtract 4x and add 44 to both sides:
[tex]12x=56[/tex]
Divide both sides by 12:
[tex]x=\dfrac{14}{3}[/tex]
Hope this helps!
A number, x, rounded to 2 significant figures is 1300
Write down the error interval for x.
Answer:
[tex][1250,1350)[/tex].
Step-by-step explanation:
It is given that a number, x, rounded to 2 significant figures is 1300.
It is possible if,
1. The value of x is greater than of equal to 1250 and less than or equal to 1300.
i.e., [tex]1250\leq x\leq 1300[/tex] ...(1)
2. The value of x is greater than of equal to 1300 and less than 1350.
i.e., [tex]1300\leq x<1350[/tex] ...(2)
On combining (1) and (2), we get
[tex]1250\leq x < 1350[/tex]
1350 is not included in the error interval for x.
Interval notation is [tex][1250,1350)[/tex].
Therefore, the error interval for x is [tex][1250,1350)[/tex].
Two boys, starting at the same point, walk-in opposite directions for x meters, turn right and walk another y meters, and turn right and walk another x meters. What is the distance between them?
Answer:
2y meters
Step-by-step explanation:
The first x meters are cancelled with the last x meters because after turning right two times they walk in the opposite direction that each of them started to walk.
The y meters each of them walk are also in the opposite direction, so given that each of them walked y meters, the distance between them is 2y meters.
(FAST ANSWER, 20 POINTS!) The heights of a group of boys and girls at a local middle school are shown on the dot plots below. When comparing the shapes of the two sets of data, what conclusion can someone draw?
A. The shortest boy is taller than the shortest girl.
B. The range for the girls is greater than the range for the boys.
C. There is an outlier in the data for the boys, but not for the girls.
D. The girls are generally taller than the boys.
Answer:
The answer is D) The girls are generally taller than the boys.
Step-by-step explanation:
The heights of a group of boys and girls at a local middle school are shown on the dot plots. When comparing the shapes of the two sets of data, the girls are generally taller than the boys.
I hope I helped, please correct me if I'm wrong!
At the end of a year, the gross debt of a country stood at about $24 trillion. Express this amount in dollars per person, assuming that the population of the country is about 298 million
Answer: $80536.9
Step-by-step explanation:
From the question, at the end of a year, the total debt of a country stood at about $24 trillion and the country has a population of 298 million.
To calculate the amount in dollars per person, we divide the gross debt by the population. This will be:
= 24 trillion ÷ 298 million
= 24,000,000,000,000 ÷ 298 000 000
= 80536.9
The amount in dollar per person will be $80536.9
5(2-y)+y=-6 Please the yr is almost over
Answer:
4
Step-by-step explanation:
5(2-y)+y=-610-5y+y= -610-4y= -64y=10+64y=16y=16/4y=4Answer: 4
Step-by-step explanation:
16 - 4y =-4 • (y - 4)
-4 • (y - 4) = 0
y-4 = 0
y = 4
PLEASE HELP ME PLEASEEEEE
Our first step is to get rid of the fraction by multiplying both sides by 3.
So in our second step we have x - 4 > -36.
Now add 4 to both sides to get x > -32.
Since x is greater than -32, the values that would
make this inequality true are -31 and 31.
Simplify the expression below.
13y + x - 7y
[tex]\text{Simplify:}\\\\13y + x - 7y\\\\\text{Combine like terms}\\\\13y + x - 7y\\\\6x+y\\\\\text{Since you can't combine anything else, that will be your answer}\\\\\boxed{6y+x}[/tex]
Select the ordered pairs that satisfy the equation y=1/5x.Check all that apply.
Answer: C, E, F
Step-by-step explanation:
Plug in the "x" and "y" values from the ordered pairs into the equation.For A: 3 = [tex]\frac{1(5)}{5}[/tex] → 3 ≠ 1 → A is eliminated.For B: 5 = [tex]\frac{1(1)}{5}[/tex] → 5 ≠ [tex]\frac{1}{5}[/tex] → B is eliminated.For C: 2 = [tex]\frac{1(10)}{5}[/tex] → 2 = 2 → C satisfies the equation.For D: 10 = [tex]\frac{1(4)}{5}[/tex]→ 10 ≠ [tex]\frac{4}{5}[/tex] → D is eliminated.For E: -1 = [tex]\frac{1(-5)}{5}[/tex]→ -1 = -1 → E satisfies the equation.For F: 3 = [tex]\frac{1(15)}{5}[/tex]→ 3 = 3 → F satisfies the equation.Therefore, C, E, and F are the answers.Answer:
C, E, and F
Step-by-step explanation:
Substitute each pair in for the variables and see which pairs are true.
A blue die and a white die are tossed. Find n
Answer: Then the sample space is 36.
Step-by-step explanation:
n is the number of possible combinations.
Now, as the die are of different colors, the case where:
white = 1 blue = 2, sum = 1+ 2 = 3
white = 2 blue = 1, sum = 2 + 1 = 3
are different.
So the number of possible combinations is:
6 options for the white dice and 6 options for the blue dice, so we have:
6*6 = 36 different combinations.
Then the sample space is 36.
What is the next term of the following sequence?
20, 10, 5, 21/2, ...
Answer:
1 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Note there is a common ratio between consecutive terms, that is
10 ÷ 20 = 5 ÷ 10 = 2 [tex]\frac{1}{2}[/tex] ÷ 5 = [tex]\frac{1}{2}[/tex]
Thus to obtain the next term in the sequence multiply the previous term by [tex]\frac{1}{2}[/tex]
2 [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = 1 [tex]\frac{1}{4}[/tex]
What is the value of x?
Answer & Step-by-step explanation:
We can use the Pythagorean Theorem to find the value of x.
[tex]a^2+b^2=c^2[/tex]
For a, we will use 3.
For b, we will use 4.
For c, that will be our x.
[tex]3^2+4^2=c^2\\9+16=c^2\\25=c^2\\\sqrt{25} =\sqrt{c^2}\\ 5=c[/tex]
So, the value of x is 5.
CAN SOMEONE PLS HELP ME 10 POINTS PLS
a. Which of these could be the area of Circle B? *
About 100 in ^2
About 300 in^2
About 900 in^2
About 2,700 in^2
b. Explain your reasoning for part a. Use the approximation of about 3 for pi. *
Answer:
D) About 2,700 in^2
Step-by-step explanation:
Equation for area of a circle is A=3r² (it would usually be A=πr² but we are using the approximation)
The diameter is 60, we want to find the radius for the equation. We can use the equation d=2r to find the radius of the circle.
60=2r
30=r
Put radius into the area equation.
A=3(30)²
A=3(900)
A=2700
Answer:
2,700 in^2 ; Option D
Step-by-step explanation:
If it is known that the diameter of Circle B ⇒ 60 inches,
[tex]Diameter - 60 inches,\\\\Radius - 60 / 2 = 30 inches,\\\\Area of Circle B ( \pi stands for 3 ) - \pi * ( r )^2 = ( 3 ) * ( 30 )^2 = ( About ) 2,700 square inches\\\\Solution; 2,700 square inches[/tex]
( About ) 2,700 square inches; Option D
Match the rate - - .08 -- with corresponding time of year.
A. Three Months, 1/4 =
B. Six Months, 6/12 =
C. Nine Months, 9/12 =
D. 1 Month, 1/12 =
Answer: D. 1 Month, 1/12 =1÷12 = 0.08
Step-by-step explanation:
Hi, to answer this question we have to convert the fraction into decimals and compare:
A. Three Months, 1/4 = 1÷4 = 0.25
B. Six Months, 6/12 = 6÷12 =0.5
C. Nine Months, 9/12 = 9÷12 = 0.75
D. 1 Month, 1/12 =1÷12 = 0.08
The option that matchs the rate 0.08 is D.
Feel free to ask for more if needed or if you did not understand something.
What is the constant of proportionality in the equation y = 2.5x?
Answer:
2.5
Step-by-step explanation:
The standard equation representing quantities in proportion is
y = kx ← k is the constant of proportionality
y = 2.5x ← is in standard form
with k = 2.5
Answer:
2.5
Step-by-step explanation:
Y = 2.5x
then you would have put in with x
so i got x =2.5
PIck from smallest to largest Smallest 8.008 8.018 8.088 8.88 8.808 Largest
Answer:
8.880,8.808,8.018,8.008
The numbers 8.008, 8.018, 8.088, 8.88, and 8.808 are in ascending order will be 8.008, 8.018, 8.088, 8.808, and 8.88.
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The numbers are given
8.008, 8.018, 8.088, 8.88, and 8.808.
Then we are arranging in ascending order, then we have
8.008, 8.018, 8.088, 8.808, and 8.88.
More about the ascending order link is given below.
https://brainly.com/question/320500
