Answer:
The answer is 2.0190
Step-by-step explanation:
From the given question,
We recall that,
p = 141/241 = 0.5850
so, p = 0.5
The Hypothesis is:
H₀ : P = 0.5, this means that H0:50% of the games played will be won
vs
H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.
n=241,x=141
Then,
SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421
z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190
therefore, there is strong evidence that there is home field advantages in professional football.
Following are the calculation to the hypothesis test:
[tex]\to \hat{p}= \frac{141}{241}=0.5850 \\\\\to p=0.5[/tex]
Hypothesis:
[tex]H_{0}:P=0.5[/tex] implies [tex]H_0:50\%[/tex] of a games would be won.
vs
[tex]H_{1}:P>0.5[/tex] because of home-field advantages, the victory exceeds [tex]0.5[/tex] . [tex]\to n=241 \\\\\to x=141\\\\\to SD(p)=\sqrt{(\frac{p\times q}{n})}=\sqrt{(\frac{0.5\times 0.5}{241})}=\sqrt{(\frac{0.25}{241})}= \sqrt{0.001}=0.0322 \\\\\to z=\frac{\hat{p}-p}{SD(p))}=\frac{0.5850-0.5}{0.0322}=\frac{0.085}{0.0322}=1.624\\\\ \to P(Z>1.624)=0.0521879[/tex]
conclusion [tex]P-value =0.0521879<0.05[/tex], As a result, we reject the null hypothesis, i.e. there's really significant evidence that home-field advantage exists in pro football.
Learn more:
brainly.com/question/17854172
A triangle has a perimeter of 20 cm. It is dilated by a scale factor of 4/5. What is the perimeter of the dilation?
Answer:
i believe it to be 16. Im not sure though
Step-by-step explanation:
The two cones are congruent
A
Determine the unknown measures of the cones,
units
units
units
5.2
B
units 3
6.2
V242 units
VD units
Answer: if you’re talking about the one on edge it’s:
3.1
4.2
5.2
42
Step-by-step explanation:
The cones are congruent so just copy the other cone and find the radius (dividing the diameter by 2)
What is AB? There’s an image of the triangle above
Jen borrowed $1500 from her parents for car repairs. She plans to take 10% of her $450 weekly income to pay them back. At this rate, how many weeks will it take her to pay off the long?
Answer:
34 weeks
Step-by-step explanation:
450* 10% (0.10) = 45
1500/45 = 33.333
But you need to round up, so 34 weeks
round your answer to the nearest hundredth
Answer:
8.54
Step-by-step explanation:
3*3=9
8*8=64
9+64=73
Square root of 73= 8.54
A sports shop sells 3 light bowling balls and 3 heavy bowling balls for ten-pin bowling. The weight of a heavy bowling ball is twice that of a light bowling ball. The total weight of the 6 bowling balls is 52.65 pounds. Find the total weight of the 3 heavy bowling balls to the nearest pound.
Answer:
The weigth of the three heavy balls is 35.1 pounds.
Step-by-step explanation:
In order to solve this problem we will call the weigth of the light ball by "l" and the weigth of the heavy ball by "h". The total weigth of the six balls is 52.65 pounds, so we have:
3*l + 3*h = 52.65
We know that the weigth of the heavy ball is twice the weight of the light ball, so we have:
h = 2*l
We can use this value on the equation to solve for "l". We have:
3*l + 3*(2*l) = 52.65
3*l + 6*l = 52.65
9*l = 52.65
l = 52.65/9 = 5.85 pounds
h = 2*l = 2*5.85 = 11.7 pounds
3*h = 35.1 pounds
The weigth of the three heavy balls is 35.1 pounds.
Final answer:
The weight of a light bowling ball is approximately 5.85 pounds. The weight of a heavy bowling ball is approximately 11.7 pounds.
Explanation:
The total weight of the 6 bowling balls is 52.65 pounds. Let's represent the weight of a light bowling ball as x pounds. Since the weight of a heavy bowling ball is twice that of a light bowling ball, the weight of a heavy bowling ball is 2x pounds. So we can set up the equation:
3x + 3(2x) = 52.65
Simplify and solve for x:
3x + 6x = 52.65
9x = 52.65
x = 52.65/9
x = 5.85
The weight of a light bowling ball is approximately 5.85 pounds. The weight of a heavy bowling ball is twice that, which is approximately 11.7 pounds.
The first day of Alex's trip was a Monday. What day of the week was Day 393939 of Alex's trip? Select the correct answer. Day 393939 of Alex's trip was a
Answer:
Thursday.
Step-by-step explanation:
We have that the first day of Alex's trip was a Monday, that is to say that the next Monday will be obtained by adding 7 to the previous numbers.
1 + 7 = 8
8 + 7 = 15
15 + 7 = 22
22 + 7 = 29
29 + 7 = 36
We have that the 36th is a Monday, therefore:
37, Tuesday
38, Wednesday
39, Thursday
In other words, the 39th would be Thursday.
During a particular week, the art museum had 1,600 visitors, and that was 40% of the total number of visitors for the month. How many total visitors did the art museum have that month?
Answer:
4000
Step-by-step explanation:
this can be found by using the equation
1600/x = 40/100
cross multiply
40x = 160000
simplify
x= 4000
To find the total number of visitors the art museum had in the month, divide 1,600 by 0.4.
Explanation:To find the total number of visitors the art museum had in the month, we can use the given information. We know that 1,600 visitors represents 40% of the total number of visitors for the month. To find the total number of visitors, we can set up the following equation:
1,600 = 0.4 * total number of visitors
To solve for the total number of visitors, we divide both sides of the equation by 0.4:
total number of visitors = 1,600 / 0.4 = 4,000
Therefore, the art museum had a total of 4,000 visitors that month.
Learn more about finding total number of visitors here:https://brainly.com/question/3384116
#SPJ3
A student rolled 8 number cubes and counted the total amount of even numbers to simulate the number of questions she might guess correctly on a true/false test with 8 questions. The dot plot below shows the results of one hundred trials. Based on this data, which number of correct answers is most likely?
Answer:
The number of correct answers most likely is 3
Step-by-step explanation:
A Dot Plot is a histogram form of chart used to represent small amount of data in which the values are small discrete countable variables. It is a graphical display of data using dots and graph like scales to show count (relationships) within a group or a category.
Here from the box plot, we have that the number with the highest frequency is 3. Therefore, the number of correct answers most likely is 3.
What is the decimal multiplier to decrease by 3.4%?
To calculate a decimal multiplier to decrease a quantity by a certain percentage, subtract the percentage you want to decrease by from 100% and then convert to a decimal. For a 3.4% decrease, the decimal multiplier is 0.966.
Explanation:The decimal multiplier to decrease a quantity by 3.4% can be calculated by subtracting the percentage decrease from 100%, then converting into decimal form. Therefore, 100% - 3.4% gives us a remainder of 96.6%. This is the amount we want to remain after the decrease. Convert this to a decimal multiplier by dividing by 100, i.e., 96.6% ÷ 100 = 0.966. Thus, the decimal multiplier to decrease by 3.4% is 0.966.
Learn more about Decimal Multiplier here:https://brainly.com/question/2129682
#SPJ12
square root of 48 plus square root of 3
Answer:
2313
Step-by-step explanation:
Sam and her 3 friends each bought a ticket at the movie theater, and they also bought a large tub of popcorn to share for $8. If the total cost was $36, how much did each ticket cost?
Answer:
each ticket costed $9.33
Step-by-step explanation:
36 - 8 = 28
28 divided by 3 = 9.33
If Sam and her 3 friends each bought a ticket at the movie theater, and they also bought a large tub of popcorn to share for $8. If the total cost was $36 then $9.3 is the cost of each ticket.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Sam and her 3 friends each bought a ticket at the movie theater,
They bought a large tub of popcorn to share for $8.
Total cost was $36.
We have to find the cost of each ticket.
Let us remove 8 from the cost 36.
Thirty six minus eight equal to twenty eight.
36-8 = 28
Let us divide twenty eight by three because there are three friends
28/3=9.30
Hence if Sam and her 3 friends each bought a ticket at the movie theater, and they also bought a large tub of popcorn to share for $8. If the total cost was $36 then $9.3 is the cost of each ticket.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
What is the answer to
–3x2+7=-2x
Step-by-step explanation:
-6 + 7 = 2x
1 =2x
If you have to find the value of x then
1/2 = x
Answer as a power of 6
The value of [tex]\(10^2 - 4^3\)[/tex] is [tex]\(6^2\)[/tex], equivalent to 36.
To solve this expression, first, let's calculate each part:
[tex]$10^2 = 10 \times 10 = 100$[/tex]
[tex]$4^3 = 4 \times 4 \times 4 = 64$[/tex]
Now, we can substitute these values into the expression:
[tex]$10^2 - 4^3 = 100 - 64 = 36$[/tex]
Now, we need to express 36 as a power of 6. We can see that [tex]$36 = 6^2$[/tex], so:
[tex]$36 = 6^2$[/tex]
Therefore, the value of [tex]$10^2 - 4^3$[/tex] as a power of 6 is [tex]$6^2$[/tex]
A man drove his car 396 miles on Monday and 476 miles on Tuesday. How many miles did he drive altogether?
In circle G, r = 3 units. Maria draws a circle with double the area of circle G. What is the area of Maria's circle? 6Pi units squared 9Pi units squared 12Pi units squared 18Pi units squared
Answer: 18pi unit squared
Step-by-step explanation:
Area of a circle = πr2
Radius of Circle G= 3units
Area of circle G= πr2
= π (3×3)
= 9π unit squared
Maria draws a circle with double the area of circle G. This will be:
2 × 9π
= 18π2
= 18pi unit squared
Answer:
18*pi units squared.
Step-by-step explanation:
The area of a circle can be calculated with the following formula:
Area = pi * r^2
Where r is the radius.
The circle G have a radius of 3 units, so its area is:
Area1 = pi * r^2 = pi * 3^2 = 9*pi
If the circle that Maria draws has double the area, so her circle have a area of:
Area2 = 2 * Area1 = 2*9*pi = 18*pi units squared.
Please help me!!!!! How do you get 67.3 and 112.7 from .9228
I attached the problem with the answer but not all the work.
In will make the first answer the brainlyest
Answer and Step-by-step explanation:
You are correct in that we need to use the Law of Sines: [tex]\frac{c}{sinC} =\frac{b}{sinB}=\frac{a}{sinA}[/tex].
Here, when we use the Law of Sines, we have: [tex]\frac{28}{sin(63)}=\frac{29}{sinB}[/tex].
Cross multiply:
(sinB) * 28 = (sin63) * 29
28sinB ≈ 25.839
sinB ≈ 0.9228
Now, in order to solve for B, we need to use inverse sin ([tex]sin^{-1}[/tex]):
[tex]sin^{-1}(sinB)=sin^{-1}(0.9228)[/tex]
The sines on the left cancel out, and we're left with:
B ≈ 67.3 degrees
Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:
180 - 67.3 = 112.7 degrees.
Hope this helps!
Answer:
67.3° , 112.7°
Step-by-step explanation:
sinx = 0.9228
Take inverse of sin, you get:
x = 67.3389176683
Since sin is positive in first two quadrants, second angle is:
180 - 67.3389176683
= 112.6610823317
Machine A and machine B both make car parts.
Machine A makes 7 parts every 10 minute.
Machine B makes 16 parts every 17 minuets.
On Monday
Machine A makes parts for 12 hours.
Machine B makes parts for 10 hours.
Work out the total number of parts made by two machines on Monday. Show your working
Answer:
Machine A=504 parts in 12h
Machine B=564 parts in 10 h
Step-by-step explanation:
please find the attached picture for steps
Answer:
Part A is 504
Part B is 564.7
Step-by-step explanation:
Rates given
A=7 parts every 10 minutes
We know its 1 hour for every 60 minutes
12 hr x 60 min\1 hr is 720 minutes
720 min times 7 part divide by 10 minutes is 504 parts
B= 16 parts every 17 minutes
10 hr times 60 min divide by 1 hour is 600 minutes
600 min times 16 parts divide by 17 minutes is 564.7 parts
A circle has a circumference of 28.26 units. What is the diameter of the circle?
Answer:
Diameter of circle is 9 units.
Answer:
2 x radius
Step-by-step explanation:
Did you know that the outdoor temperature can e found by counting the chirps made by crickets? According to the Farmer's Almanac, the formula C = StartFraction n Over 3 EndFraction + 4 relates degrees celsius (C) to the number of cricket chirps (n) in 25 seconds. One night while camping, Charlie counts 51 chirps in 25 seconds. What is the temperature in degrees Celsius?
Answer:
the answer is 21
Step-by-step explanation:
.
Answer:
21 is correct, & for some reason my answer was deleted... so strange, am I right ?
estimate 196 divided0.499
Answer:
392
Step-by-step explanation:
round 0.499 up to 0.5, then divide 196 by 0.5 and your answer is 392.
what are all the functions that have no real number solution
4x^2+100=0
3x^2-9=0
x^2+1=0
6x^2-216=0
x^2-49=0
Answer:
Step-by-step explanation:
hello :
two equations have no real number solution :
x²+1=0 : bcause x²= - 1 false x²≥ 0
4x²+100 =0 : because x² = -25 false x²≥ 0
The functions that have no real solutions include the given equations.
Explanation:The functions that have no real number solutions in the given equations are:
4x² + 100 = 03x² - 9 = 0x² + 1 = 06x² - 216 = 0x² - 49 = 0For these equations, the solutions are complex numbers or no solution at all. In the first equation, there are no real solutions, while the others have complex solutions. For example, the second equation has solutions x = ±3i, where i is the imaginary unit.
Learn more about functions that have no real solutions here:https://brainly.com/question/13229059
#SPJ12
Samir bought 3 pounds of cement to repair the cracks in his sidewalk. Each crack needs to be filled with 2 ounces of cement. Part A How can he convert 3 pounds to ounces? Use the drop-down menus to explain. 3 by . Part B How many cracks can he repair? Enter your answer in the box. cracks
Answer:
24 cracks will be filled
Step-by-step explanation:
Here, the first question asks how to convert 3 pounds to ounces.
we can do this using a mathematical approach. To convert pounds to ounces, we need to know that there are 16 ounces in a pound. so to convert pounds to ounces, we just need to multiply the number of pounds we have by 16 to get the equivalent number of ounces.
The second question asks to give the number of cracks that be repaired.
From the question, we were made to know that each of the cracks would eat up 2 pounds of cement to be filled.
Let’s calculate the amount of cement we have. That would be 3 * 16 = 48 ounces of cement.
The amount of cracks to be filled is thus 48 ounces/2 ounces = 24 cracks
help please!, i need help
Answer:
The answer to your question is 5
Step-by-step explanation:
Rate of change of a linear function is the slope of the function.
To find the answer:
1.- Find two points of the line
A = (2, 4)
B = (1, -1)
2.- Write the formula of the slope
m = (y2 - y1) / (x2 - x1)
3.- Identify the values of x1, y1, x2 and y2
x1 = 2 y1 = 4 x2 = 1 y2 = -1
4.- Substitution
m = (-1 - 4) / (1 - 2)
5.- Simplification
m = -5/-1
6.- Result
m = 5
Please help me!!
2(5– x)3 – 11=151
Answer:
x = -22
Step-by-step explanation:
2(5– x)3 – 11 = 151
(10 - 2x)3 - 11 = 151
30 - 6x = 162
-6x = 132
x = -22
A cube has an edge lenght of 9 centimeters.
If the side length is increased by a factor of 3, how much larger is the perimeter of a face of the new cube?
A 72cm
B 72cm^2
C 108cm
D 108cm^2
Answer: A
Step-by-step explanation:
Took quiz
Answer:
The correct answer is A on edg
Step-by-step explanation:
1. What is the circumference of the circle
below?
11 cm
The probability that Alma makes a three-point shot in basketball is 20 % 20%20, percent. For practice, Alma will regularly shoot a series of these shots until she makes one. She's curious how many shots it will typically take her to get her first successful shot. She simulated 50 5050 trials of three-point shots where each shot had a 0.2 0.20, point, 2 probability of being made, and in each trial, she counted how many shots it took to get the first successful shot.
Complete Question: Check the file attached to this document to see the complete question
Answer:
P(X < 7) = 0.76
Step-by-step explanation:
Counting properly from the diagram attached to the question,
number of trials it took her to make less than 7 shots(i.e. 0 to 6 shots) = 38
The total number of trials she made = 50
Probability that it takes fewer than 7 shots to get her first successful shot, P(X < 7) = (number of trials it took to make less than 7 shots)/(Total number of trials)
P(X < 7) = 38/50
P(X < 7) = 0.76
Answer:
0.76
Step-by-step explanation:
Marta looked at the results for the USA in the 2004 summer Olympics and noticed that the number of silver medals was 6 fewer (less) than twice the number of bronze medals. She also saw that the number of gold medals was four more than the number of silver medals. If the USA won 52 medals in total that year, how many of each type did they win?
Answer: They won 22 gold, 18 silver and 12 bronze.
Step-by-step explanation: Suppose gold is g, silver is s and bronze is b.
The number of silver was 6 less than twice of bronze: s = 2b - 6
Gold was 4 more than silver: g = s + 4
Total is 52: g + s + b = 52
We have 3 equations and 3 variables. To determine each one:
s = 2b - 6 (1)
g = s + 4 (2)
g + s + b =52 (3)
Substitute (1) in (2):
g = 4 + 2b - 6
g = 2b - 2 (4)
Using (1) and (4), substitute in (3)
2b - 2 +2b - 6 + b = 52
5b = 52+8
b= [tex]\frac{60}{5}[/tex]
b = 12
With b, we find s:
s = 2.12 - 6
s = 18
With s, we find g:
g = 4 + 18
g = 22
Therefore, the team won 22 gold, 18 silver and 12 bronze.
Answer:
Gold : 22 medals , Silver : 18 medals, Bronze : 12 medals
Step-by-step explanation:
Solution:-
- Denote the total number of medals won by USA, T = 52
- The number of bronze medals = x
- The number of silver medals = y
- The number of gold medals = z
- We are given that number of silver medals (y) was 6 fewer (less) than twice the number of bronze medals (x). So the mathematical representation of this observation would be:
y = 2x - 6
- Similarly, the number of gold medals (z) was four more than the number of silver medals (y). So the mathematical representation of this observation would be:
z = y + 4
- The total number of medals T:
T = x + y + z
- We have 3 equations and 3 unknowns. Solve the equations simultaneously,
z = 2x - 6 + 4 = 2x - 2
T = x + ( 2x - 6 ) + ( 2x - 2)
52 = 5x - 8
5x = 60
x = 12 bronze medals
z = 2x - 2
z = 2*12 - 2
z = 22 gold medals
z = y + 4
y = 22 - 4
y = 18 silver medals
What is n/2 - 10 = -8
Answer: [tex]n=4[/tex]
Simplify both sides of the equation
[tex]\frac{1}{2}n+-10=-8\\\frac{1}{2}n-10=-8[/tex]
Add 10 to both sides
[tex]\frac{1}{2}n-10+10=-8+10\\\frac{1}{2}n=2[/tex]
Multiply both sides by 2
[tex]2*(\frac{1}{2}n)=2*2\\n=4[/tex]
Answer:
[tex]n = 4[/tex]
Step-by-step explanation:
[tex] \frac{n}{2} - 10 = - 8 \\ \frac{n}{2} = - 8 + 10 \\ 2 \times \frac{n}{2} = 2 \times 2 \\ n = 4[/tex]
hope this helps you....