In Fig. 6.39, sides QP and RQ of ΔPQR are produced to points S and T respectively. If ∠SPR = 135° and ∠PQT = 110°, find ∠PRQ.
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Thank u :)
Answers
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Given: ∠SPR = 135° and ∠PQT = 110°To find: ∠PRQ[tex] \leadsto[/tex]According to Angle sum property of a triangle , sum of the interior angles of a triangle is 180°.
➱ ∠SPR + ∠QPR = 180° [Linear pair]
➱ 135° + ∠QPR = 180°
➱ ∠QPR = 180° - 135°
➱ ∠QPR = 45°.....(i)
➱ ∠PQT + ∠PQR = 180° [Linear pair]
➱ 110° + ∠PQR = 180°
➱ ∠PQR = 180° - 110°
➱ ∠PQR = 70°.....(ii)
Now,➛ ∠PQR + ∠QPR + ∠PRQ = 180° [Angle sum property of a triangle]
➱ 70°+ 45° + ∠PRQ = 180° [from (i) and (ii)]
➱ ∠PRQ = 180° - 115°
➥ ∠PRQ = 65°
hope it's help u!! :D
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Υ
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Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
Your answer
Price = x dollar. Discount = 40%
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Answers
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Step-by-step explanation:
Which of the following are reasons that a sampling technique may not be scientific.
a. People who were asked refused to answer.
b. The graphs are drawn in a way to mislead the reader.
c. The researcher was not able to survey every individual from the population.
d. The funders of the project are partial to the results.
e. Two factors cannot be separated to determine which is the one that is responsible for the outcome.
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Answers
Answer:
b. The graphs are drawn in a way to mislead the reader.
f. Trying to conclude that there is a cause-and-effect relationship when something else causes both.
Step-by-step explanation:
The sampling technique is used to make observation about entire population. The sampling may be misleading if the graphs are not properly drawn. This could mislead the reader and the sampling technique will not be scientific.
Sampling may be unscientific when the graphs are drawn in a way to mislead the reader.
Sampling is a simple way of carrying out scientific studies. In a sampling technique, a small fraction of the whole is selected for study in such a manner that represents the whole.
A sampling may not be scientific if;
The graphs are drawn in a way to mislead the reader.Trying to conclude that there is a cause-and-effect relationship when something else causes both.Learn more about sampling: https://brainly.com/question/857770
The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce parts with highly narrow requirements, or tolerances, that are typical in the aerospace industry. Consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0008. Suppose the sample variance for 30 parts turns out to be s2 = 0.0009.
Required:
Use α = 0.05 to test whether the population variance specification is being violated. State the null and alternative hypotheses.
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]H_0: \sigma^{2} \leq 0.0008\\\\H_a: \sigma^{2} > 0.0008[/tex]
The testing states value is:
[tex]\to x^2=\frac{(n-1)s^2}{\sigma^2}=32.6250[/tex]
therefor the [tex]\rho - \ value = 0.2931[/tex]
Through out the above equation its values Doesn't rejects the H_0 value, and its sample value doesn't support the claim that although the configuration of its dependent variable has been infringed.
A college statistics class conducted a survey of how students spend their money. They asked 25 students to estimate how much money they typically spend each week on fast food. They determined that the mean amount spent on fast food each week is $31.52 and the median is $32. Later they realized that a value entered as $2 should have been $20. They recalculate the mean and the median. Which of the following is true? Group of answer choices
a. The mean and median will increase.
b. The mean will increase, but the median will remain the same.
c. The mean will stay the same, but the median will increase.
d. Both the mean and median will remain the same.
Answers
Answer:
Option B, The mean will increase, but the median will remain the same.
Step-by-step explanation:
Given
Mean value is [tex]31.52[/tex] dollars
Median Value is [tex]32[/tex] dollar.
Mean is the average of all the units in a given set of data. Change in any of the number will change the mean.
Here the mean is 31.25
Total money would be [tex]31.25 * 25 = 781.25\\[/tex]
A number is changed from 2 to 20 , i.e addition of 18 dollars
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However, the median value is the value of the unit at the center of the arrangement. Hence, it will not change.
Option B is correct
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Answers
Answer:
force (f)= 14000N
acceleration (a)=5m/s²
mass (m)=?
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f=ma
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will give brainliest pls
Answers
Answer:
It's false
Step-by-step explanation:
1.25*200=250 not 300.
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Answers
Answer:
A. c = 60 / p
Step-by-step explanation:
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Answer:
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I solved the inequality but i don't know if that was what you were asking for lol, if not sorry.
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Step by step :-
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Answers
Answer:
Step-by-step explanation:
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Answers
Answer:
The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
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85% confidence level
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[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 - 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.7877[/tex]
The upper limit of this interval is:
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The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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I hope that helps!!
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Answers
Answer:
Step-by-step explanation:
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Answers
Answer:
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Answers
Answer:
Step-by-step explanation:
23-92 = -69
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Answers
Answer:
D. 2x+71=180
Step-by-step explanation:
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Tez
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Answer:
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Will mark brainliest!
Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:
Part B: Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept.
BTW. PLESE DON'T ANSWER IF YOU DON'T KNOW.
Answers
Answer:
y = 0.44 x - 0.1
Step-by-step explanation:
Using the points (2.5, 1) and (27.5, 12) (first and last points of the plot - please see attached image), we obtain the following slope:
slope = (y2 - y1) / (x2 - x1)
slope = (12 - 1 ) / (27.5 - 2.5) = 0.44
Now we use this slope to complete the equation of the line through those points:
y = 0.44 x + b
1 = 0.44 (2.5) + b
1 = 1.1 = b
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y = 0.44 x - 0.1
Answer:
y = 0.44x + 0
Step-by-step explanation:
I am going to use the first and lowest and highest points on the graph to make an equation representing the approximate slope of this graph.
(2.5,1) and (27.5,12)
To find slope I am going to calculate change in y over change in x.
12 - 1 over 27.5 - 2.5 = 11/25 = 0.44
So far we have y = 0.44x + 0
To find "b" (the y-intercept) we are going to plug zero in for x, because the defintion of y-intercept is "the value of y when x = 0"
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y = 0.44x + 0 or just y = 0.44x
I know I won't get brainliest, but hopefully, this helps, and you said that the other person couldn't get brainliest unless someone else answered, so here ya go!
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Answers
Answer:
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what is the solution to 5(4x-1.5x)+12-2
Answers
Answer:
12.5x+10
Step-by-step explanation:
I'm assuming that you want to simplify this, because there is no equal sign.
If you want to simplify, first combine like terms.
First solve the first half of the equation: 20x-7.5x=12.5x
Now solve the second half of the equation: 12-2=10, so we have 12.5x+10.
That's your answer: 12.5x+10
Answer:
x = 0.8
Step-by-step explanation:
Your equation is 5(4x - 1.5x) + 12 - 2. Simply, you have to solve for x.
First, you have to do distributive property. 5 x 4 and -1.5 (1.5 is negative as I plus-minus.) This will now lead you to have the equation 20x + -7.5x + 12 - 2.
Next, you subtract 12 - 2. Then add 20x + -7.5x. Your equation should be 12.5x = 10.
Since you want x by itself, you will divide all by 12.5 in which 10 divided by 12.5 is 0.8. So your final answer is
x = 0.8