Answers
Answer:A
Step-by-step explanation:
● Alternate interior angles are always equal.
How are other options incorrect?Angles given in option A are forming linear pair.Angles given in option B are too forming a linear pair.Angles given in option D are corresponding angles.
Related Questions
A circular patio has a radius of 4 yards. The patio is expanded so that the
radius increases by 2 yards. By how many square yards does the area of the
patio increase?
Answers
Answer:
20pi or 62.83
Step-by-step explanation:
when r=4
pi r^2
16pi
when r=6
pi r^2
36pi
36pi-16pi=20pi or 62.83
Use the distributive property to simplify the expression 7 (8x+3).
7(8X+3=
Answers
Answer:
56x+21
Step-by-step explanation:
7times 8x is 56x
7 times 3 is 21
add them together and you get 56x+21
What is the volume of a hemisphere with a radius of 3.1 in, rounded to the nearest tenth of a cubic inch?
Answers
The volume of a hemisphere with a radius of 3.1 in. is 62.39 cubic inch
What is a hemisphere?The Hemisphere is the half part of a sphere.
What is the volume of a hemisphere?The volume of a hemisphere = (2/3)πr³ cubic units where r is the radius
Given radius is 3.1 in.
volume = (2/3)π(3.1)³
=62.39 cubic inch
Thus the volume of a hemisphere with a radius of 3.1 in. is 62.39 cubic inch
To know more about volume of a hemisphere click here
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The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample of 86 units made with gold wire, 68 met the specification, and in a sample of 120 units made with aluminum wire, 105 met the specification. Let pX represent the population proportion units made with gold wire that meet the specification and let pY represent the population proportion units made with aluminum wire that meet the specification. Find a 95% confidence interval for the difference
Answers
Answer:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Step-by-step explanation:
Difference between proportions:
The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So
In a sample of 86 units made with gold wire, 68 met the specification
This means that:
[tex]pX = \frac{68}{86} = 0.7907[/tex]
[tex]sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439[/tex]
In a sample of 120 units made with aluminum wire, 105 met the specification.
This means that:
[tex]pY = \frac{105}{120} = 0.875[/tex]
[tex]sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302[/tex]
Difference:
[tex]p = pX - pY = 0.7907 - 0.875 = -0.0843[/tex]
[tex]s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533[/tex]
Confidence interval:
[tex]p \pm zs[/tex]
In which z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex], with [tex]\alpha[/tex] being 1 subtracted by the confidence level.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Lower bound of the interval:
[tex]p - zs = -0.0843 - 1.96*0.0533 = -0.1888[/tex]
Upper bound of the interval:
[tex]p + zs = -0.0843 + 1.96*0.0533 = 0.0202[/tex]
The 95% confidence interval for the difference is (-0.1888, 0.0202).
It takes Brent 9 minutes and 14 seconds to walk around the pond. It takes Dana 8 minutes 41 seconds to walk around the pond. How many more seconds does it take Brent to walk around the pond than Dana?
Answers
Answer:
0 min 33 sec
Step-by-step explanation:
9 min 14 sec
- 8 min 41 sec
-----------------------
8 min 60+14 sec
- 8 min 41 sec
-----------------------
8 min 74 sec
- 8 min 41 sec
-----------------------
0 min 33 sec
Find the equation of the line shown. Enter yoir answwr in slope intercept form
Answers
Answer:
y = x
Step-by-step explanation:
The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.
Hope this helps!
-Luna
A square pyramid has a height of 6 meters the perimeter of the base is 40 meters what is the volume?
Answers
Answer: 1/3.(√3/4)×40×40 ×5√(5
Step-by-step explanation:
Answer:
200 m^3
Step-by-step explanation:
1) find the side of the base
side = 40 : 4 = 10 m
2) find the base area
base area = side^2 = 10^2 = 100 m^2
3) find the Volume
V = (base area x height)/3 = (100 x 6)/3 = 200m^3
which of the following numbers is a prime number greater than 23?
a)17 b)24 c)25 d)29 please no links
Answers
What is the recursive rule for an=4n-3
Answers
Answer:
1
Step-by-step explanation:
n=1
4×1=4
4-3=1
please help me I want to get a good grade so my mom can appreciate me :D!
Answers
Answer:
The unit rate is 1.5
Step-by-step explanation:
Given
[tex]Ratio = 4/7 : 8/21[/tex]
Required
Determine the unit rate
To do this, we need to express the ratio as:
[tex]Ratio = m : 1[/tex]
Where m is the unit rate
[tex]Ratio = 4/7 : 8/21[/tex]
Express as fraction
[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]
Solve
[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]
[tex]Ratio = 1.5[/tex]
Express as ratio
[tex]Ratio = 1.5 : 1[/tex]
Hence, the unit rate is 1.5
In a sale the normal price of a book is reduced by 30% what singles number must be i multiple by to reduce something by 30%
I need help
Answers
Step-by-step explanation:
This means the price of the book will decrease by 100%-30%=70%
70% decrease in x = 100% of x - 70% of x = 1x - 0.7x = (1 - 0.7)x = 0.3x So 0.3x represents a 70% decrease in x.
Notice that this multiplier .3 is the same as (30% of x).
the answer is 0.3.
15. The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000. Take a random sample of three U.S. women in this age group. What is the probability that at least one of the women has a Chlamydia infection
Answers
Answer:
0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection
Step-by-step explanation:
For each women, there are only two possible outcomes. Either they have a Chlamydia infection, or they do not. The probability of a woman having the infection is independent of any other women. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000.
This means that:
[tex]p = \frac{2791.5}{100000} = 0.027915[/tex]
Take a random sample of three U.S. women in this age group.
This means that [tex]n = 3[/tex]
What is the probability that at least one of the women has a Chlamydia infection?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.027915)^{0}.(1-0.027915)^{3} = 0.9186[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.9186 = 0.0814[/tex]
0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection
What is the answer ? What value is missing from the table?
Answers
Answer A. 17
Step-by-step explanation: The cost, in dollars is increasing by $1.05 by 1’s. To get from 1.05 to 2.10 is 1.05. So to find the Gallons of Gas, you would keep adding 1.05 until you get 17.85 or you can multiply the numbers in the answer choice by 1.05 to get your answer.
How do you write 5.09 104 in standard form?
Answers
Hope that helped :)
How many small cubes are needed to make the large figure shown below?
Key
represents
1 small
cube
9
15
18
21
Answers
Answer:
Step-by-step explanation:
What is the surface area of a triangular prism
Answers
An ice cream store sells 5 drinks, in 3 sizes, and 3 flavors. In how many ways can a customer order a drink?
Answers
Answer:
45 ways
Step-by-step explanation:
5*3*3 = 45
Answer:
45
Step-by-step explanation:
5*3*3
5*3=15
15*3=45
HURRY Antoine is using a horse trailer to transport his horses to his new
ranch.
A. Complete the table by finding the weight, in pounds, of
Antoine's horse trailer and each horse.
+
Weight (T)
Weight (lb)
Horse
0.4
Trailer
1.5
SHIFT Draw circle
Answers
Answer:
Step-by-step explanation:
PLEASE HELP ME ASAPPPPPPPPPPPPPPPPPPPPP
Answers
Box=cubic feet
Good luck!
what numbers multiply to give 100 and when summed up give 25................................
Answers
Which function is linear?
A) y = x^2 + 4
B) 2y = 4x^2
C) 2y = x + 4
D) x^2=2y
Answers
Answer:
A
Step-by-step explanation:
its a
Answer:
C) 2y = x + 4
Step-by-step explanation:
all other functions include x²
How many green jolos are there in balans colony?
Answers
Answer: B. 280
Step-by-step explanation:
ur welcome
Answer:
B) 280
Step-by-step explanation:
On the Federal Job site it states that at a 90% confidence level that the true population mean salary of High School Mathematics teachers in Bergen County New Jersey is between $52,000 and $108,000 per year. 9) I am offered a job as a High School Mathematics teacher in Dale county Florida. The salary they offer is $48,000 a year. Can I make any conclusions based on the confidence interval
Answers
Answer:
Option c (I cannot........Florida) is the appropriate response.
Step-by-step explanation:
The given statement of query seems to be incomplete. Please find the attachment of the complete problem below.
Throughout New Jersey, the Federative Recruitment agency informs you of the average wage of mathematics in high schools.Unless you're in Florida and therefore don't know concerning Dale County Florida wages, this same work you've been given is well beyond the area whereby you know the compensation of teachers or instructors, you can't make any view.The other three given alternatives aren't related to the question. Thus option c is the correct one.
5. In quadrilateral RSTW. diagonals RT and SW are perpendicular bisectors of
each other, Quadrilateral RSTW must be a
Rectangle Rhombus m. Square
a,
c. I and IN
d. 1. I, and I
Answers
Answer:
Rhombus and/or Square
what are the lengths of sides a and c
Answers
Answer: a is 4 mm, c is 8 mm
Step-by-step explanation:
the 30-60-90 triangle rule: in a right triangle with 30, 60 and 90 degree angles, the adjacent side is [tex]\sqrt{3}[/tex] the opposite side, while the hypotenuse is 2 times the opposite.
the adjacent side in this case would be 4[tex]\sqrt{3}[/tex], a is opposite, and c is the hypotenuse
divide the adjacent side by [tex]\sqrt{3}[/tex] and we have the opposite side: 4
the hypotenuse is twice the opposite side, which has a value of 4. 4 times 2 is 8, which means the value of the hypotenuse is 8 mm
For which of the following sample sizes is the sample median most likely to be above $250,000?
A. n = 10
B. n = 50
C n = 100
D. n = 1000
E Impossible to determine without more information
Answers
Answer:
A. n=10
Step-by-step explanation:
your welcome
Answer:
n=100
Step-by-step explanation:
In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000? That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.
I need help
SELECT ALL THAT APPLY.
WHICH SHAPE(S) COULD THE FOLLOWING FORMULA BE USED FOR?
A=3 h(b1 +
+ b2)
A. Rectangle
B. Square
C. Trapezoid
D. Triangle
E. Cube
Answers
Answer:
a
Step-by-step explanation:
A student paid 256.37 in school fees how much has he paid to the nearest hundred
Answers
Answer:
300
Step-by-step explanation:
256.37 5 and 6 is high enoughh to boost that 2 up to a 3
Answer:
uhhh 256.37 is rounded to the nearest hundreth
Unless you mean hundred thwn it would be 300
Subjects with pre-existing cardiovascular symptoms who were receiving subitramine, an appetite suppressant, were found to be at increased risk of cardiovascular events while taking the drug. The study included 9804 overweight or obese subjects with pre-existing cardiovascular disease and/or type 2 diabetes. The subjects were randomly assigned to subitramine (4905 subjects) or a placebo (4899 subjects) in a double-blind fashion. The primary outcome measured was the occurrence of any of the following events: nonfatal myocardial infarction or stroke, resuscitation after cardiac arrest, or cardiovascular death. The primary outcome was observed in 561 subjects in the subitramine group and 495 subjects in the placebo group. Do the data give good reason to think that there is a difference between the proportions of treatment and placebo subjects who experienced the primary outcome
Answers
Which are solutions of
x/5= 1/+4?
A. -5 and 1
B. -1 and 5
C. 0 and 5
D. 0 and - 1
E. 2 and 3
Answers
Answer:
I think a is correct answer.