Two groups separately performed an experiment by tossing a coin in the air. Group X performed 50 trials and group Y performed 100 trials. Each group recorded the results in the table below: Group Heads Tails X 33 17 Y 53 47 What conclusion can be drawn about the number of trials and the probability of the coin landing on heads or tails? The experimental probability is closer to the theoretical probability for group Y than group X. The experimental probability and the theoretical probability for group X is the same. The experimental probability and the theoretical probability for group Y is the same. The experimental probability is closer to the theoretical probability for group X than group Y.
Answer:
D. The experimental probability is closer to the theoretical probability for group H than group G.
With any experimental probability, the more trials that are done will make the experiment move more likely to be the theoretical probability. in this case, the theoretical probability for flipping a coin is 50 heads 50 tails which H is closer to. any statistical data the more data collected the more close to reality it is.
Step-by-step explanation:
Answer:
B. The experimental probability and the theoretical probability for group X is the same.
what is the 9th term in a geometric sequence with a common ratio of 2 and a first term of 3?
Answer:
768
Step-by-step explanation:
a=3
r=2
t9=ar^n-1
=3×2^9-1
=3×2^8
=3×256
=768
Which order pair is a solution of y=4x-3?
Answer:
4x-y=3
Step-by-step explanation:
IT'S standard form
Andy went on a hike and finished at 1:30 P.M. He hiked for 1 hour and 5 minutes. What time did he start?
Answer:
12:25
Step-by-step explanation:
Answer:
12:25 p.m
Step-by-step explanation:
1:30 - 1 hour = 12:30
12:30 - 5 minutes = 12:25
I hope this helped, please mark Brainliest, thank you!! :)
A recipe calls for 2
cups of sugar. How many fourths is that?
(1 point)
03
08
011
O 14
Answer:
8
Step-by-step explanation:
2*4=8
Answer:
8 fourths
Step-by-step explanation:
Let x = 6. What is the value of the expression 5x2+x−7? Enter your answer in the box.
Answer:
Well the answer would be 9.
Step-by-step explanation:
All you have to do is put 6 in the place of X. So the new equation would be 5x2+6-7, and all you do is solve that. So multiply 5 and 2 to get 10, than add 10 to 6 and get 16, 16 minus 7 to get your answer of 9.
Hope this is right, pls tell me and sorry its so late lol
Which of these could be the lengths of side of a right triangle?
Answer:
c
Step-by-step explanation:
reason:
5^2+12^2=13^2
Answer:
c
Step-by-step explanation:
1. square the two smaller numbers and add them (5^2 + 12^2 = 169)
2. Take the square root of answer ( 13 )
In ΔXYZ, the measure of ∠Z=90°, ZY = 4, XZ = 3, and YX = 5. What ratio represents the tangent of ∠X?
Answer: 4/3
Step-by-step explanation:
you're finding the tangent of X which is at the top so you do opposite over adjacent
(Giving branliest on this 1 !! :D)
Solve five and four tenths times two.
A) ten and four twentieths
B) ten and four tenths
C) ten and eight tenths
Answer:
I am not sure if I am correct but I think it is ten and eight tenths too not a 100% sure
Answer:
its 10 8/10 :) <3
Step-by-step explanation:
M is the midpoint of RS. R has coordinates (-2,-3) and M has coordinates (1,0). Find the coordinates of S.
Answer:
[tex](4,3)[/tex]
Step-by-step explanation:
Given
[tex]R = (-2,-3)[/tex]
[tex]M = (1,0)[/tex]
Required
Determine the coordinates of S
Midpoint is calculated as:
[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]
Where:
[tex](x,y) = (1,0)[/tex]
[tex](x_1,y_1) = (-2,-3)[/tex]
Substitute these values in the above formula:
[tex](1,0) = \frac{1}{2}(-2 + x_2,-3+y_2)[/tex]
Multiply through by 2
[tex]2 * (1,0) = 2 * \frac{1}{2}(-2 + x_2,-3+y_2)[/tex]
[tex](2,0) = (-2 + x_2,-3+y_2)[/tex]
By direct comparison:
[tex]2 = -2 + x_2[/tex] and [tex]0 = -3 + y_2[/tex]
Solving for x2
[tex]2 = -2 + x_2[/tex]
[tex]x_2 = 2 + 2[/tex]
[tex]x_2 = 4[/tex]
Solving for y2
[tex]0 = -3 + y_2[/tex]
[tex]y_2 = 0 + 3[/tex]
[tex]y_2 = 3[/tex]
Hence, the coordinates of S is: [tex](4,3)[/tex]
lillian is a business woman of manufacturing phones. she must pay a daily fixed cost to rent the building and equipment and also pays a cost per phone produced for materials and labor. let c represent the total cost in dollars of producing p phones in a given day. the table below has select values showing the linear relationship between p and c. determine fixed cost for rent and equipment?
P: 2,4,6
C: 1200, 1400, 1600
Answer:
1000 dollars
Step-by-step explanation:
Given
P: ---2 -----,4 ----,6
C: 1200, 1400, 1600
Required
Calculate the fixed cost
First, we need to determine the equation that determines the relationship between P and C
We start by selecting any two corresponding values of P and C
We have that:
[tex](P_1,C_1) = (2,1200)[/tex]
[tex](P_2,C_2) = (6,1600)[/tex]
Calculate the slope, using:
[tex]m = \frac{C_2 - C_1}{P_2 - P_1}[/tex]
[tex]m = \frac{1600 - 1200}{6 - 2}[/tex]
[tex]m = \frac{400}{4}[/tex]
[tex]m = 100[/tex]
The equation is then calculated using:
[tex]C - C_2 = m(P - P_2)[/tex]
Where
[tex]m = 100[/tex] and
[tex](P_2,C_2) = (6,1600)[/tex]
[tex]C - 1600 = 100(P - 6)[/tex]
[tex]C - 1600 = 100P - 600[/tex]
Collect Like Terms
[tex]C = 100P - 600 +1600[/tex]
[tex]C = 100P + 1000[/tex]
From the equation above,
100P represents the amount paid for P phones produced
1000 represents the fixed cost paid
C represents the total amount paid
The quotient of 363636 and 333 is jjj.
Solve for jjj.
Answer:
What Do U Mean By Jjj?? Can U Pls Reply
Answer:
What is jjj
Step-by-step explanation:
363636 seems like a big number are you sure that is what you wanted to put in?
Find the value of x. Then tell whether the side lengths from a Pythagorean triple sides 20,16 find x
Answer:
x = 12
Step-by-step explanation:
Pythagorean triplet
12,16,20
So, the value of x is 12
x + 256 = 400
x = 400 - 256
x = 144
The square of 12 is 144
At noon, a tank contained 20 in. of water. After several hours, it contained 16 in. of water. What is the percent decrease of water in the tank
Answer:
20 percent decrease
Step-by-step explanation:
it lost 4 inches of water (20-16) and 4 is a fifth of 20. a fifth is 20 percent so it is a 20 percent decrease
You are most likely to encounter an irrational number when you're
Answer:
working with circles (using pi for circumference, area, etc)
PLEASE EXPLAIN
Yvonne wants to rent a kayak for 7 hours. How much would this cost at each company? Which one should she choose?
Answer: IT will cost $63
Step-by-step explanation:
hope it helps.
it given that sin(-x) = -m where x is acute angle . express sec x in terms of m
Answer:
[tex]\sec(x)=\frac{1}{\sqrt{1-m^2}}[/tex]
Step-by-step explanation:
We know that:
[tex]\sin(-x)=-m[/tex]
First, since sine is an odd function, we can move the negative outside:
[tex]=-\sin(x)=-m[/tex]
Divide both sides by -1:
[tex]\sin(x)=m[/tex]
We will now use the Pythagorean Identity:
[tex]\cos^2(x)+\sin^2(x)=1[/tex]
Substitute m for sine:
[tex]\cos^2(x)+m^2=1[/tex]
Solve for cosine:
[tex]\cos^2(x)=1-m^2[/tex]
Take the square root of both sides:
[tex]\cos(x)=\pm\sqrt{1-m^2}[/tex]
Since x is an acute angle, cosine will always be positive. Thus:
[tex]\cos(x)=\sqrt{1-m^2}[/tex]
Take the reciprocal of both sides. Hence:
[tex]\frac{1}{\cos(x)}=\sec(x)=\frac{1}{\sqrt{1-m^2}}[/tex]
A movie theater complex gave a poll as viewers exited from two theaters showing the same film. They had a 20% response rate from the people in theater A and a 30% response rate from the people in theater B. There were 800 people in total in theaters A and B.
Part A: It was estimated that an equal number of people from each theater responded to the poll. If this was the case, how many people in total would have been in theater A?
Part B: In reality, 440 people were in theater A and 360 people were in theater B. What was the total response rate for the poll? Express your answer as a percentage.
Answer:
Let´s define the variables:
x = number of people in theater A
y = number of people in theater B
We know that a 20% (or 0.2 in decimal form) of the people in theater A answered the survey, then the number of people from theater A that answered the survey is: Na = 0.2*x
We know that a 30% (or 0.3 in decimal form) of the people in theater B answered the survey, then the number of people from theater B that answered the survey is: Nb = 0.3*y
There where 800 people in total (counting from the two theatres)
Then x + y = 800.
A) In this case we have:
Na = Nb
this means that:
0.2*x = 0.3*y
and we also have the equation:
x + y = 800
To solve this, we need to isolate one variable in one of the equations, i will isolate x in the second equation:
x = 800 - y
And now we can replace this in the other equation to get:
0.2*(800 - y) = 0.3*y
We need to solve this for y:
160 - 0.2*y = 0.3*y
160 = 0.3*y + 0.2*y = 0.5*y
160/0.5 = y = 320
Then there where 320 people in theater B, and:
x + y = 800
x + 320 = 800
x = 800 - 320 = 480
There where 480 people in theather A.
B) Now we have:
x = 440
y = 360
then:
Na = 0.2*440 = 88
In theater A, 88 people answered the survey.
Nb = 0.3*360 = 108
In theater B, 108 people answered the survey.
In total, 88 + 108 = 196 people answered the survey.
PLEASE HELP ME OUTTTTTTTTT
===============================================
Work Shown:
Subtract the time values
131.25 - 119.5 = 11.75
This rounds to 12 when rounding to the nearest whole number.
This means she ran about 12 minutes faster. Since she ran 12 miles, this tells us she ran about 12/12 = 1 minute faster per mile.
The more accurate amount is 11.75/12 = 0.97916666666667 and we can see this is fairly close to 1. If we round to the nearest whole number, then we would get 1.
Factor the algebraic expression 4x + 12y.
how do i give brainiest ill give it
Help me out ASAP please
Answer:
4(x+3y)
Step-by-step explanation:
factor 4 out of 4x and 12 y
Noah bought 4 tacos and paid $6. At this rate how many tacos could he buy for 15$
Could you help me please with the answer: 2 + 2 / 4 - 9 % 2 = ?
Answer:
-4/25
Step-by-step explanation:
which pair of factors of 8 has a sum of 9
Answer:
jbbhhhhhhhhhhhhhhhhh,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Step-by-step explanation:
Find the equation, in standard form, of the parabola going through (-2,4),(0,-4), and (2,4). What is a + b + c?. There is no visual. I NEED THIS ASAP
Answer:
y = 2x^2 - 4a + b + c = -2Step-by-step explanation:
Parabola is the graph of a quadratic function:
y = ax^2 + bx + cGiven points:
(-2,4), (0,-4) and (2,4)Substituting the points:
1.
4 = a(-2)^2 + b(-2) + c ⇒ 4 = 4a - 2b + c ⇒ 4a -2b + c = 42.
-4 = a*0 + b*0 + c ⇒ c = -43.
4 = a(2)^2 + b(2) + c ⇒ 4 = 4a + 2b + c ⇒ 4a + 2b + c = 4Considering c = -4 in the other equations:
4a - 2b - 4 = 4 ⇒ 4a - 2b = 8and
4a + 2b - 4 = 4 ⇒ 4a + 2b = 8Comparing the above two equations:
4a - 2b = 4a + 2b ⇒ 4b = 0 ⇒ b = 0Then finding a:
4a = 8 ⇒ a = 2So we have equation:
y = 2x^2 - 4and
a + b + c = 2 + 0 - 4 = -2
John left the museum and drove south at a rate of 55 mph. Sally left four hours later driving 10 mph faster than John in an effort to catch up to him. How
long did Sally have to drive to catch up with John?
28 hours
22 hours
20 hours
18 hours
Answer:
22 hours (B)
Step-by-step explanation:
John's velocity = 55mph
Sally's velocity = 65mph
John's time taken = x
Sally's time taken = x - 4
since they must cover the same distance.
and, distance = vel × time
Sally's vel × time = John's vel × time
55x = 65(x-4)
55x = 65x - 220
-10x = -220
x = 22 hours.
Therefore, Sally catches up after 22 hours
Ade is baking mini-loaves of bread. How many mini-loaves could he make with 10 cups of flour?
12.5
15
25
50
Answer
10
Step-by-step explanation:
it takes 3/4 of a cup to make a mini loaves of bread and 3/4 is about one cup so 10
The number of mini-loaves that he could make with 10 cups of flour will be 25 cups.
From the complete information, it was stated that 1 cup of flour can be used to make 2.5 loaves.
Therefore, based on the information given, in order to calculate the number of mini-loaves that he could make with 10 cups of flour, we've to multiply the values. This will be:
= 2.5 × 10 = 25
In conclusion, the correct option is 25 cups.
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A right triangle, DEF, is shown below.
What is sin FDE?
Answer:
sin ∠FDE is 12/13
Step-by-step explanation:
The trigonometric ratios will be used to find the value of sin∠FDE
In the given triangle, according to angle FDE
Base = DE = 5
Hypotenuse = DF = 13
Perpendicular = EF = ?
sin ∠FDE = [tex]\frac{perpendicular}{Hypotenuse} = \frac{EF}{DF}[/tex]
We have to find the length of DF first
Pythagoras theorem will be used as the given triangle is a right angled triangle
[tex](Hypotenuse)^2 = (Base)^2+(perpendicular)^2\\(DF)^2 = (DE)^2+(EF)^2\\(13)^2 = (5)^2 + EF^2\\169 = 25+EF^2\\EF^2 = 169-25\\EF^2 = 144\\\sqrt{EF^2} = \sqrt{144}\\EF = 12[/tex]
So,
sin ∠FDE = EF/DF
sin ∠FDE = 12/13
Hence,
sin ∠FDE is 12/13
2. Last year, Springfield Middle School had 620
students. This year, it has 582 students. To the nearest
tenth, what is the percent of decrease?
A) 6.1%
B) 6.6%
C) 93.9%
D) 106.5%
Answer: A
Step-by-step explanation: In all logic its only a 40 soemthing difference and its a bigger number so my guess is 6.1
The percentage decrease in the number of students will be 6.6%. The correct option is B.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that last year, Springfield Middle School had 620 students. This year, it has 582 students.
The percentage decrease will be calculated as:-
Percentage decrease = ( 620 - 582 ) / 582
Percentage decrease = ( 38 / 582) = 0.0652
Percentage decrease = 0.0652 x 100 = 6.52% ≅ 6.6%
Therefore, the percentage decrease in the number of students will be 6.6%. The correct option is B.
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7th grade math help me pleasee
Mr.Sanchez bought 2 magazines for $9.95 each and 1 book for $14.95. If the sales tax is 6%, what is the total cost of Mr.Sanchez’s purchase?
Answer:
36.94
Step-by-step explanation:
Multiply 34.85 (the total cost of the book and mags) by 0.06 (cost of sales tax) = 2.91
34.94 + 2.91 = 36.94