Answers
Related Questions
find the measure of arc URT
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Hello!
This question is about relating vertical angles and their arc lengths.
Vertical angles have equal angle measures, meaning that they will also have the same arc measure.
We know that arc QR and arc UT have equal angle measures because they are formed with vertical angles.
That means since we know the measure of the other two arcs, which will both be 125 since they are formed with vertical angles, we can solve for the two unknown arc lengths.
A circle is 360 degrees, meaning that we can make the following equation,
[tex]360=QR+UT+125+125[/tex]
[tex]QR+UT+250=360[/tex]
[tex]QR+UT=110[/tex]
Since QR = UT
[tex]QR/UT=55[/tex]
Now, we can solve for arc URT using all the arc measures we have.
[tex]URT=125+55+125[/tex]
[tex]URT=305[/tex]
Hope this helps!
A shoemaker claims his best product has an average lifespan of exactly 14 years. A skeptical customer asks for evidence (data) that might be used to evaluate this claim. The customer was provided data collected from a random sample of 45 people who used the product. Using the data, an average product lifespan of 15 years and a standard deviation of 6 years was calculated. Select the 95%, confidence interval for the true mean lifespan of this product.
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Answer:
The 95%, confidence interval for the true mean lifespan of this product is between 13.2 and 16.8 years.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 45 - 1 = 44
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0154
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0154\frac{6}{\sqrt{45}} = 1.8[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 15 - 1.8 = 13.2 years
The upper end of the interval is the sample mean added to M. So it is 15 + 1.8 = 16.8 years.
The 95%, confidence interval for the true mean lifespan of this product is between 13.2 and 16.8 years.
Find 3 consecutive even integers such that 5 times the second is 82 more than the first .
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Ti best of my understanding the answers are: 1st integers is 18, 2nd is 20, and 3rd is 22.
x is 1st integer
x+2 is 2nd integer
x+4 is 3rd integer
All even
5(x+2)=82+x
5x+10=82+x
5x-x=82-10
4x=72
x=18
1st is x=18
2nd is x+2=18+2=20
3rd is x+4=18+4=22
Good luck.
write the following comparison as a ratio reduced to lowest terms.
128 hours to 6 days
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Answer:
21.3:1
Step-by-step explanation:
So we have to find the unit rate, and we do that by getting that 6 down to a 1, and we do that by dividing 6 by 6 and then we gotta do that on the other side too:
6 ÷ 6 = 1
128 ÷ 6 = 21.3 (simplified)
So 128 to 6 days in simplest terms is 21.3 hours to 1 day
hope this helps:)
Question 20 (5 points)
All of the pairs of corresponding angles and sides in ACATand ADOG are congruent.
Based on this information, which of the following is a true statement?
A) A DOG has half the area of ACAT.
B) ACATis congruent to ADOG.
C) ADOG has been dilated to form ACAT.
D) There isn't enough information to make a statement about ADOG and ACAT.
Answers
9514 1404 393
Answer:
B) ΔCAT is congruent to ΔDOG
Step-by-step explanation:
If angles are congruent, the triangles are similar. When both corresponding angles and corresponding sides are congruent, the triangles are congruent.
ΔCAT is congruent to ΔDOG
Kaylee is decorating a ballroom ceiling with garland. If the rectangular ceiling is 20 meters by 48 meters, how much garland will Kaylee need to reach from one corner of the ceiling to the opposite corner?
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Answer:
960
Step-by-step explanation:
Given the length of segment EB is 12 meters. Find the length of arc EA. Round your answer to the nearest tenth.
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Answer:14.9
Step-by-step explanation:
my calc 3 friend told me
Solve and check each equation below . show all work . 24=g+14. f-9=12
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Answer:
g = 10
f = 21
Step-by-step explanation:
Given equations:
24 = g + 14
f - 9 = 12
24 = g + 14
Subtract 14 from both sides
24 - 14 = g + 14 - 14
10 = g
g = 10
Check:
24 = g + 14
24 = 10 + 14
24 = 24
f - 9 = 12
Add 9 to both sides
f - 9 + 9 = 12 + 9
f = 21
Check:
f - 9 = 12
21 - 9 = 12
Please help with math asap:
Rewrite without parentheses and simplify
(y+7)^2
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y * y = y^2
y * 7 = 7y
7 * y = 7y
7 * 7 = 49
So we have:
y^2 + 7y + 7y + 49
Combine like terms:
y^2 + 14y + 49
choosing an ice cream cone from waffle, plain,
or sugar and a flavor of ice cream from
chocolate, vanilla, or strawberry
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Answer:
vanilla,cone
Step-by-step explanation:
A 3 ounces b 4 ounces c 12 ounces or D 15 ounces helps plsss
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Answer:
D 15
Step-by-step explanation:
[tex]\frac{5}{20}[/tex]=[tex]\frac{x}{60}[/tex]
Find the slope,
(5,0) and (0.-7)
Answers
Answer:
[tex]\frac{-7}{-5}[/tex]
-7/-5
is the slope.
or -1 -2/-2
you pick.
Step-by-step explanation:
Δy/Δx
-7-0 / 0-5
-7 / -5
-7/-5
is the slope.
change in y over change in x
y2-y1 over x2-x1
simplify if possible.
-1 -2/-2
it's negative.
Answer:
Slope = 1 2/5 or 1.4
Step-by-step explanation:
Using the y2 - y1/x2 - x1 format, you first replace the variables with the points (5 and 0 can be x1, y1, while 0 and -7 can be x2, y2)
-7 - 0/0 - 5
Now subtract: -7 - 0 = -7; 0 - 5 = -5
You would get -7/-5, which simplified: 1.4 or 1 2/5
:p
there you go!
Can someone please help me I will mark u brilliant
Answers
Answer:
I believe the answer is 1/12
Step-by-step explanation:
the volume of a rectangular prism is length × width × height
Answer:
[tex] \frac{1}{12} \: cubic \: foot[/tex]
Step-by-step explanation:
[tex]V_{box} = lbh \\ = 1 \frac{1}{2} \times \frac{1}{6} \times \frac{1}{3} \\ \\ = \frac{ \cancel3}{2} \times \frac{1}{6} \times \frac{1}{ \cancel3} \\ \\ = \frac{1}{12} \: cubic \: foot[/tex]
Convert 65 degress celsius to degress farenheit.
If necessary, round your answer to the nearest tenth of a degree
Here are the formulas :
C=5/9 ( f-32)
F= 9/5 C+32
Answers
Answer: 150 degrees
Step-by-step explanation:
Answer:
149°F
Step-by-step explanation:
The Celsius measure is 65° . We know the relation between Celsius and Farenheight as ,
⇒ C/5 = F-32/89
⇒ 65/5 = F-32/9
⇒ 13 = F-32 / 9
⇒ F - 32 = 13 × 9
⇒ F = 117 + 32
⇒ F = 149 °F
Hence the Faeenheight measure is 149°F .Emily bought 48 yards of fabric to make curtains. What is that length in inches?
Answers
Answer:1 yard = 36 inches
48 X 36 = 1728 inches
Peyton is going to invest $440 and leave it in an account for 5 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Peyton to end up with $520?
Answers
Answer:
The required interest rate would be of 3.4% a year.
Step-by-step explanation:
The amount of money earned in compound interest, after t years, is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial investment and r is the interest rate, as a decimal.
Peyton is going to invest $440 and leave it in an account for 5 years.
This means that [tex]P(0) = 440, t = 5[/tex]
So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 440(1+r)^5[/tex]
What interest rate, to the nearest tenth of a percent, would be required in order for Peyton to end up with $520?
This is r for which P(t) = 520. So
[tex]P(t) = 440(1+r)^5[/tex]
[tex](1+r)^5 = \frac{520}{440}[/tex]
[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{\frac{52}{44}}[/tex]
[tex]1 + r = (\frac{52}{44})^{\frac{1}{5}}[/tex]
[tex]1 + r = 1.034[/tex]
Then
[tex]r = 1.034 - 1 = 0.034[/tex]
The required interest rate would be of 3.4% a year.
F178 * 34 = 6052, then 60.52 = 17.8 is equal to
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Answer:
sin ( 330 ) − 4 cot( − 45 ) csc ( 60 )
Step-by-step explanation:
Convert 1.375 to decimal fraction؟
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Step-by-step explanation:
11/8 if I'm not wrong
...
Answer:
fgiigdyh
Step-by-step explanation:
Write the polynomial in factored form as a product of linear factors:
p(a) = a^3 + 3a^2+ 9a + 27
zeros of polynomial.
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Answer:
Step-by-step explanation:
p(A) = a^3 + 3a^2 + 9a + 27
put brackets around the 1st and second terms and another set around the 3rd and 4th
P(a)= (a^3 + 3a^2) + (9a + 27)
Using the distributive property, pull out the common factor for each of the 2 terms that contain the brackets.
P(a) = a^2 ( a + 3) + 9(a + 3)
Let a + 3 = x
P(a) = a^2x + 9x
Put brackets around these 2 terms
P(a)= x(a^2 + 9)
Substitute a + 3 for x
P(a) = (a + 3) ( a^2 + 9)
Is this linear, exponential growth, exponential decay, or neither?
Answers
Answer:
exponential decay
Step-by-step explanation:
the y coordinates are getting smaller while x gets bigger so for 1x y is .5 then .25 then .125 etc..
f(x) = 6X-8
g(x) = -3x+2
Find 3f(x)+2g(x).
What is this answer
Answers
Answer:
12x-20
Step-by-step explanation:
f(x)=6x-8
3f(x)=3(6x-8)
3f(x)=18x-24
g(x)=-3x+2
2g(x)= -6x+4
3f(x)+3g(x)=(18x-24)+(-6x+4)
=18x-24-6x+4
=12x-20
Many professional sports are arguing that they need a new stadium to be competitive, as newer stadiums can bring in more fan revenue which can in turn allow teams to buy more expensive players. Some major league baseball teams have built new stadiums in the past decade. Consider the attendance (in millions) in the last year of the old stadium and the first year of the new stadium. Using a sample of 5 randomly selected teams, researchers would like to determine if there is any evidence that attendance levels differ between using old vs new stadiums. The data for these five teams are shown below:
Team Attendance (in millions)
Old Stadium New Stadium
Cincinnati Reds 1.9 2.4
New York Yankees 4.3 3.7
Philadelphia Phillies 2.3 3.3
Seattle Mariners 2.7 2.9
Washington Nationals 1.9 2.3
Required:
a. Calculate the test statistic appropriate to the correct statistical method.
b. Suppose all assumptions were satisfied for valid inference, and the researcher found a statistically significant lower average attendance in the new stadium compared to the old stadium. (This does not mean that this data support this conclusion - this is just hypothetical.) Does this mean that the new stadium caused attendance to decrease? Why or why not?
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Answer:
Test statistic = 1.1508
Step-by-step explanation:
Given the data provided
We have to make a table and find d and d²
From the calculations I did in the attachment
n = 5
d² = 1.81
d = 1.5
The t test statistic = 1.5/1.3038 = 1.1505
B. No the new stadium may not have caused the attendance t decrease in this case. Other factors could be responsible for the low attendance.
roy is 30 miles from dallas ready to leave for pecos
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Answer:
It represents the 270 miles that Roy and Travis must travel in 4 hours in order to meet somewhere along the highway.
Step-by-step explanation:
From the information given, the point of interception (4, 270) represent the number of distance, 270 miles, that both Roy and Travis must travel in 4 hours in order to meet along the highway where Roy will give Travis the key to a treasure chest to Roy.
The point intersection (4, 270) represents the time and distance Roy and Travis met
The graph above are linear graph.
Linear graphLinear graph are straight line graph.
Therefore,
d represents a distance in miles from Dallas
h represents the hours travelled
Roy is leaving for Pecos while Travis is in Pecos ready to leave for Dallas.
Therefore, the point intersection (4, 270) represents the time and distance Roy and Travis met.
learn more on linear graph here:https://brainly.com/question/1328896
The Lane School sold 1,152 granola bars to raise money for digital cameras. All the granola bars were either berry bars or raisin bars. They sold 528 berry bars, and the rest were raisin bars. The granola bars came in boxes of 24 bars. How many boxes of raisin bars did they sell?
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Answer:
26 boxes of raisin bars
Step-by-step explanation:
Take the total bars sold 1152 then subtract the berry bars 528 and you'll get 624. Next you'll divide the 624 by 24 because that's how many that's in a full box. Finally you'll get your answer of 26 boxes.
1152-528=624 ➗ 24 = 26
an exponential function is graphed on the gid. which function is best represented by the graph
a) g(x)=6(1/3)^x
b)g(x)=6(3)^x
c) g(x)=6-(1/3)^x
d) g(x)=6-(3)^x
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Pls help me with this
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Find the area of the trapezoid. A trapezoid has a base of 8 meters, a height of 6 meters, and a top side length of 4 meters.
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Answer:
36 m²Step-by-step explanation:
A = 1/2(b₁ + b₂)hA = 1/2(8 + 4)*6 = 36 m²Which letter is the correct answer and why
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Answer:
Option CStep-by-step explanation:
Here,
[Taking 'A' = 'a']
[tex]a \: = \: 4\pi {r}^{2} [/tex]
Then for 'r',
[tex] = > 4\pi {r}^{2} = a[/tex]
[tex] = > {r}^{2} = \frac{a}{4\pi} [/tex]
[tex] = > r = \sqrt{\frac{a}{4\pi} }[/tex]
[tex] = > r = \frac{1}{2}\sqrt{ \frac{a}{\pi} } [/tex]
Hence,
Option C is correct .
Lukas is trying to lose weight. He starts the year
weighing 254 pounds. If he plans to burn enough
calories to lose 2 pounds per week, which
equation can be used to find w, the number of
weeks that will pass before Lukas weights 228
pounds?
For BRAINLIST!!
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Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
is 0.70 equal to 7/10
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yes the fraction of .70 is 7/10
Answer:
Yes
Step-by-step explanation:
0.70 = 7/10