Use 3.14 for pi
A bicycle tire has a radius of 12 inches. If the tire rotates 20 {times, about how many inches did
it travel? Round to the nearest inch.
Answer:9342
Step-by-step explanation:
I am smart UwU
Please help!!! Thank you!!!
Answer:
See below
Step-by-step explanation:
Statement | Reason
1. m∠A + m∠B + m∠C = 180° | 1. Angles in a triangle sum to 180°
2. 28° + x - 4° + 2x = 180° | 2. Substitution
3. x=(180° - 24°)/3= 156°/3°= 52° | 3. Algebra
Hurry I need help help
Step-by-step explanation:
C. This system is consistent. It has one solution.
particularly in algebra, a linear or nonlinear system of equations is called consistent
what is 5.45 x 3.275?
Simplify: 3 + 2s - 4 + 3s
Answer:
-1 + 5s
Explanation:
3 - 4 = -1
2s + 3s = 5s
Answer:
5 − 1
Step-by-step explanation:
Twenty students from Sherman High School were accepted at Wallaby University. Of
those students, eight were offered military scholarships and 12 were not. Mr. Dory
believes Wallaby University may be accepting students with lower SAT scores if they
have a military scholarship. The newly accepted student SAT scores are shown here.
Military scholarship: 850, 925, 980, 1080, 1200, 1220, 1240, 1300
No military scholarship: 820, 850, 980, 1010, 1020, 1080, 1100, 1120, 1120, 1200,
1220, 1330
Part A: Do these data provide convincing evidence of a difference in SAT scores
between students with and without a military scholarship? Carry out an appropriate
test at the a = 0.05 significance level. (5 points)
Part B: Create and interpret a 95% confidence interval for the difference in SAT
scores between students with and without a military scholarship. (5 points) (10
points)
Answer:
Data provide convincing evidence of a difference in SAT scores between students with and without a military scholarship is explained below in details.
Step-by-step explanation:
This is a quiz of 2 autonomous groups. The population model differences are not understood. it is a two-tailed examination. Let w be the index for scores of students with army research and o be the index for scores of students without army research.
Therefore, the population means would be μw and μo.
The irregular variable is x w - xo = variation in the sample mean records of students with military accomplishments and students without.
For students with military accomplishments,
n = 8
Mean = (850 + 925 + 980 + 1080 + 1200 + 1220 + 1240 + 1300)/8
Mean = 1099.375
Standard deviation = √(summation(x - mean)/n
Summation(x - mean) = (850 - 1099.375)^2 + (925 - 1099.375)^2 + (980 - 1099.375)^2 + (1080 - 1099.375)^2 + (1200 - 1099.375)^2 + (1220 - 1099.375)^2 + (1240 - 1099.375)^2 + (1300 -1099.375)^2 = 191921.875
Standard deviation = √(191921.875/8 = 154.89
For students without military scholarship,
n = 12
Mean = (820 + 850 + 980 + 1010 + 1020 + 1080 + 1100 + 1120 + 1120 + 1200 + 1220 + 1330)/12
Mean = 1073.83
Summation(x - mean) = (820 - 1073.83)^2 + (850 - 1073.83)^2 + (980 - 1073.83)^2 + (1010 - 1073.83)^2 + (1020 - 1073.83)^2 + (1080 - 1073.83)^2 + (1100 - 1073.83)^2 + (1120 - 1073.83)^2 + (1120 - 1073.83)^2 + (1200 - 1073.83)^2 + (1220 - 1073.83)^2 + (1330 - 1073.83)^2 = 238199.4268
Standard deviation = √(238199.4268/12 = 140.89
We would set up the hypothesis.
The null hypothesis is
H0 : μw = μo H0 : μw - μo = 0
The alternative hypothesis is
Ha : μw ≠ μo Ha : μw - μo ≠ 0
Since sample standard deviation is recognized, we would analyis the examination statistic by using the t examination. The formula is
(xw - xo)/√(sw²/nw + so²/no)
From the information given,
xw = 1099.375
xo = 1073.83
sw = 154.89
so = 140.89
nw = 8
no = 12
t = (1099.375 - 1073.83)/√(154.89²/8 + 140.89²/12)
t = 0.37
The formula for determining the degree of freedom is
df = [sw²/nw + so²/no]²/(1/nw - 1)(sw²/nw)² + (1/no - 1)(so²/no)²
df = [154.89²/8 + 140.89²/12]²/(1/8 - 1)(154.89²/8)² + (1/12 - 1)(140.89²/12)² = 21650688.37/1533492.15
df = 14
We would get the probability count from the t test calculator. It becomes
p value = 0.72
Since the level of importance of 0.05 < the p value of 0.72, we would not neglect the null hypothesis.
Therefore, these data do not present an acceptable indication of a difference in SAT scores between students with and without a military scholarship.
Part B
The formula for getting the confidence interval for the difference of two population means is expressed as
z = (xw - xo) ± z ×√(sw²/nw + so²/no)
For a 95% confidence interval, the z score is 1.96
xw - xo = 1099.375 - 1073.83 = 25.55
z√(sw²/nw + so²/no) = 1.96 × √(154.89²/8 + 140.89²/12) = 1.96 × √2998.86 + 1654.17)
= 133.7
The confidence interval is
25.55 ± 133.7
One third of a number T is equal to 12???
Answer:
1/3×t=12
t=3×12
t=36
Step-by-step explanation:
need thanks for the answer.
Christine needs to make a total of 40 deliveries this week. So far she has completed 14 of them . What percentage of her total deliveries has Christine completed?
Answer:
Christine has completed 35% of her total deliveries.
Step-by-step explanation:
To find the answer, you can use a rule of three considering that as Christine needs to make a total of 40 deliveries this week, this would represent 100% and with this you can find the percentage that the 14 deliveries completed represent:
40 → 100%
14 → x
x=(14*100)/40=35%
According to this, the answer is that Christine has completed 35% of her total deliveries.
Erica is hiking down a mountain. She descends at a rate of 36 feet per hour. She began the descent at 10 a.M. And finished at 6 p.M. What was her change in elevation after two hours?
Answer:
72 feet
Step-by-step explanation:
Given that:
The speed of Erica while descending down the mountain = 36 feet per hour
Time at which the descent was started = 10 AM
Time at which the descent was finished = 6 PM
To find:
The change in elevation after two hours ?
Solution:
First of all, let us learn about the relation between speed, distance and time.
The formula between speed, distance and time is given as:
[tex]Speed = \dfrac{Distance }{Time}[/tex]
Here, we are given that:
Speed = 36 feet per hour
Time = 2 hours
We have to find the Distance now.
Putting the given values:
[tex]36 = \dfrac{Distance}{2}\\\Rightarrow Distance = 36 \times 2\\\Rightarrow Distance = \bold{72\ feet}[/tex]
Change in elevation = 72 feet
Justin is considering two websites for downloading music. The costs are detailed here.
Website 1: a yearly fee of $30 and $1.50 for each download
Website 2: $2 for each download
What is a system of equations to represent the costs for one year?
Express your equations in the form of y=mx+b where x is the number of downloads for the year and y is the total cost for the year.
Enter your equations in the boxes.
Website 1:
Website 2:
Answer:
website 2 hope this helps
Please help I will give brainliest!!
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $30 monthly fee and charges an additional
$0.14 for each minute of calls. The second plan has a $22 monthly fee and charges an additional $0.19 for each minute of calls. For how many minutes of calls
will the costs of the two plans be equal?
Answer:
The plans will be equal at 160 minutes of call
Step-by-step explanation:
1st plan: y = 0.14x + 30
2nd plan: y = 0.19x + 22
0.14x + 30 = 0.19x + 22
Subtract 0.19x from both sides;
-0.05x + 30 = 22
Subtract 30 from both sides;
-0.05x = -8
Divide both sides by -0.05
x = 160
Scientists released 6 rabbits into a new habitat in year 0. Each year, there were four times as many rabbits as the year before. How many rabbits were there after x years?
Answer: 6 × 4^x
Step-by-step explanation:
From the question, we are told that scientists released 6 rabbits into a new habitat in year 0 and that each year, there were four times as many rabbits as the year before.
The number of rabbits there after x years will be:
= 6 × 4^x
For example, let us say we want to calculate the number of rabbits after 2 years.
= 6 × 4^x
= 6 × 4²
= 6 × 16
= 96 rabbits
Mr , Rodríguez tried to find the slope of the line, FIND HIS ERROR AND CORRECT IT .
Answer:
23
Step-by-step explanation:
Andre is trying to solve the equation 2x plus 6 equals 3x minus 8. The result of Andre’s first step was -x + 6 = -8. What was Andre’s first step?
Answer:
C. Subtracted 3x from each side.
Step-by-step explanation:
I'm not 100% sure that this is correct but it's the only one that makes sense in my brain. But I'm going to explain anyways.
2x + 6 = 3x - 8 (initial equation)
subtract 3x from 2x and it leaves you with -xsubtract 3x from 3x and it leaves you with 0 which is why there is no number there anymore.It could also be D. Subtract 6 from each side, which is why I'm confused. Hopefully this helps, sorry if it doesn't. But happy holidays! :))
Write the numerical answer only. Do not include labels, dollar signs, or units.
A plane flew 720 miles in 6 hours. How many miles did the plane fly in 4 hours?
Answer:
480 miles
Step-by-step explanation: 4 times 120
Please help me with this!!!!
What is the area of the rectangle 3cm 3cm
Answer:
18 square centimeters
Step-by-step explanation:
To find the area of a rectangle follow the formula, A=lw. Where A is the area, l is the length, and w is the width. So to find the area plug the dimensions into the formula. This would be A=6 x 3, which equals 18. Therefore the answer is 18 centimeters squared.
Answer:
9 cm
Step-by-step explanation:
Area is length x width
3 cm x 3 cm = 9 cm
But if you are doing the problem from the picture it is
A = 6 cm x 3 cm
= 18 cm
Somebody Please solve this question without using L Hospital rule.
Evaluate if:
Answer:
1/2
Step-by-step explanation:
Given that,
[tex]\lim_{n \to 1} (\dfrac{1+\cos\pi x}{\tan^2\pi x})[/tex]
Using L Hospital's rule to find it :
[tex]\lim_{n \to a} \dfrac{f(x)}{g(x)}= \lim_{n \to a} \dfrac{f'(x)}{g'(x)}[/tex]
We have,
a = 1, [tex]f(x)=1+\cos\pi x, \ \ g(x)=\tan^2\pi x[/tex]
[tex]f'(x)=\dfrac{d}{dx}(1+\cos\pi x)\\\\=-\pi \sin \pi x\ .....(1)[/tex]
[tex]g'(x)=\dfrac{d}{dx}(\tan^2\pi x)\\\\=2\tan\pi x\times \sec^2\pi x\times \pi\ .....(2)[/tex]
From equation (1) and (2) :
[tex]\lim_{n \to 1} \dfrac{f(x)}{g(x)}= \lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\\lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\=\lim_{n \to 1} \dfrac{-1}{2}\times\cos^3\pi x\\\\=\dfrac{-1}{2}\times \cos^3\pi \\\\=\dfrac{1}{2}[/tex]
So, the value of the given function is 1/2.
HELPPPPPPP!!!!!!!!!!
Answer:
The Second choice y+5=-3/4(x-2
Step-by-step explanation:
4y=3x+8 solve for y so it's y=-3/4x+2
and use the slope which is -3/4
2 = x then 5 = y
you used to pass through formula and plug it in soooo it's
y+5=-3/4(x-2)
sorry if this doesn't make any sense, I'm terrible at explaining
Rick is buying a $115 tennis racquet from a sporting goods store. If the racquet is on sale for 35% off and sales tax is 8%, how much will he pay in total?
Answer:
$79.65
Step-by-step explanation:
115-40.25= 73.75
73.75 x 0.08 = 5.90
73.75 + 5.90 = 79.65
Rick will pay 80.73 dollar in total.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that Rick is buying a $115 tennis racquet from a sporting goods store.
If the racquet is on sale for 35% off and sales tax is 8%,then
First,we need to find 35% of 115.
35% as a decimal is 0.35
0.35 x 115 = 40.25
Now, subtract 40.25 from 115;
115 - 40.25 = 74.75
Now, the sales tax, find 8% of 74.75.
8% as a decimal is 0.08
0.08 x 74.75 = 5.98
Now, subtract add 5.98 to 74.75;
5.98 + 74.75 = 80.73
Therefore, he will pay 80.73 dollar in total.
Learn more about multiplications;
https://brainly.com/question/14059007
#SPJ2
Write and solve an equation to find x and also find the measure of angle EHF.
2x + 28 = 40 and and 2(x + 14) = 40 have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.
Answer:
yes they are the same
Step-by-step explanation:
2x + 28 =40
you subtract 28 from both sides
2x + 28 - 28 = 40 - 28
2x=12
divide 12 by 2 and get 6
2(6)=12
2(x + 14)= 40
So, 2(x) + 2(14)
2x + 28 = 40
So they're both the same, just with 2 different ways to solve the same equation...Hope this helps!!
The solution for 2x + 28 = 40 is 6.
The solution for 2(x + 14) = 40 is 6.
Yes, they have the same solution.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
2x + 28 = 40
Solve for x.
2x = 40 - 28
2x = 12
x = 6
2(x + 14) = 40
Solve for x.
2x + 28 = 40
2x = 40 - 28
2x = 12
x = 6
Thus,
The solution for both equations is the same.
Learn more about solutions to equations here:
https://brainly.com/question/545403
#SPJ2
3/4 divided by 1/5
HELPPP
Answer:
3.75
Step-by-step explanation:
3/80 as a fraction maybe
3 3/4 as a mixed fraction
t: 3(t + 3) + 5(3 + 2t) – 76 = 0
Answer:
[tex]\huge\boxed{\sf t = 4}[/tex]
Step-by-step explanation:
[tex]\sf 3(t+3)+5(3+2t)-76 = 0\\\\Expanding \ Parenthesis\\\\3t + 9 + 15 + 10t -76 = 0\\\\13t + 24 -76 = 0\\\\13t - 52 = 0\\\\Add \ 52 \ to \ both \ sides\\\\13t = 52\\\\Dividing\ both\ sides\ by\ 13\\\\t = 52/13\\\\t = 4\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Using the elimination method and showing all of your steps. Solve the following System of Equations. Make sure to write your answer as an order pair.
`-3x-4y=2`
`3x+3y=-3`
Answer:
ummm......i need more details.
Step-by-step explanation:
HELP ASAP PLS!!!
p(x)=x^3 : m(x)= 4p(x-3)-5
Describe the transformation(s) performed on p(x) that produced m(x).
Then, write a specific equation for m(x).
Simplify: 3a - 4 + 5a + 7 + 2(a + 1)
Answer:
10a + 5
Step-by-step explanation:
3a - 4 + 5a + 7 + 2(a + 1)
3a - 4 + 5a + 7 + 2a + 2
10a +5
Group the variables and non variables.
what are the coordinates of the circumcwnter of this triangle
Answer:
A: (-1,5) B: (-2,-1) C: (8,-1)
find the ratio of 5m to 11m in simple ways
Answer:
5m to 11m simplified to a ratio would be 5:11.
Step-by-step explanation:
To calculate ratios, try to think of them as fractions instead.
When a ration is expressed in the "a to b" form, you can actually treat it as [tex]\frac{a}{b}[/tex]!
As an example, the ratio of 1 to 2 would be [tex]\frac{1}{2}[/tex]. and the ration of 5 to 9 would be [tex]\frac{5}{9}[/tex].
Hence, the ration of 5m to 11m would be [tex]\frac{5m}{11m}[/tex], which when simplified equals to [tex]\frac{5}{11}[/tex].
Now, we can do the opposite to the fraction! For example, [tex]\frac{10}{19}[/tex] would be equal to 10:19!
Hence, 5m to 11m simplified to a ratio would be 5:11!
Hope this helped!
