Answers
Given :
In triangle AOR and triangle KTE :
Segment AO = Segment KT Segment OR = Segment TE ∠AOR = ∠KTESince two sides and one included angle of these two triangles are equal, we can conclude that these triangles are congruent under the SAS congruence criterion.
Related Questions
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9. The mean score on the SAT mathematics test was 480 and the standard deviation was 130. The distributions of both scores are approximately bell-shaped. Round the answers to at least two decimal places.
Required:
Find the z-score for an ACT score of 26.
Answers
Answer:
The z-score for an ACT score of 26 is 0.17.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that [tex]\mu = 25, \sigma = 5.9[/tex]
Find the z-score for an ACT score of 26.
This is Z when X = 26. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{26 - 25}{5.9}[/tex]
[tex]Z = 0.17[/tex]
The z-score for an ACT score of 26 is 0.17.
PLEASE HELP IDHD >~<
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Answer:
multiply the height and width of each side to get the area
PLSSS HELPPP DUE SOON ILL GIVE BRAINLESS
Answers
Answer:
D
Step-by-step explanation:
A, B, and C are not linear functions
D would be y=x/2
If you graphed y=x/2, you would get the points (4, 2), (7, 3.5), (8, 4), and (10, 5)
It's more obvious if you notice that y is half of x.
Solid A is dilated using a scale factor of 2⁄5, resulting in Solid B. Solid B is also dilated using a scale factor of 2⁄5, resulting in Solid C. If the volume of Solid B is 72 km^3, what is the volume of Solid A and Solid C?
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Answer:
28.8 and 180
Step-by-step explanation:
you just times B by 2/5 to get C and divide it by 2/5 to get A
C = (72)(2/5) = 28.8 km³
A = (72)/(2/5) = 180 km³
We know the answers make sense because A shrinks to get B and B shrinks to get C, and our answers match that.
1. spotlight is placed 25 feet from a flag that is 20 feet high Spotlight Which expression can be used to find the angle of elevation needed for the spotlight to illuminate the flag ?
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Answer:
Im not entirely sure this is right but
0 = tan^-1(20 ÷ 25)
0 ≈ 38.65°
hope i helped lol
Fill in the blanks. See picture and give answers please as quickly as possible.
Answers
Answer: Global maximum: max{-(x - 1)^2 + 4} = 4 at x = 1
Step-by-step explanation:
NO ONE IS PICKING MY QUESTION AND I AM RUNNING OUT OF POINTS TO USE. PLS HELP
Answers
Answer: 1. 3 • (x + 5) • (x - 5)
2. 2a*(2b+9)
Step-by-step explanation:
Answer:
1) 3(x+)(x-5)
2) 2a(2b+9)
Step-by-step explanation:
Over the weekend, Jada made three times as much money babysitting than Han did mowing lawns. Jada made an additional $27 selling lemonade. From babysitting and selling lemonade, she has a total of $96 .If the equation is 3x+27=96 represents this situation, what does the variable x represent?
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what is the opportunity cost (in civilian output) of a defense buildup that raises military spending from 4.0 to 4.3 percent of a $20 trillion economy?
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Answer:
hdhdhdhrheheheheheehhdhdududueueehheb
1. (3x - 2) + (5x – 4) = 100
El valor de x
Answers
Answer:
x= 13.25
Step-by-step explanation:
If you simplify that it becomes 8x-6= 100
Then, if you rearrange it, its 8x= 100+6 or 8x=106
So that means x= 13.25
(3x+5x)+(-2+-4)=100
8x+-6=100
8x-6=100
8x-6+6=100+6
8x=106
8x/8=106/8
X=53/4
Simplify the expression.
- 2.65 +0.5f - 14 - 8
- 2.6f +0.5f - 14 - 8 =
(Simplify your answer. Use integi
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Answer:
-1.6f-46.65
Step-by-step explanation:
A fruit shop bought 500 kg of apples for R900 and sold them R2.80 per kg.What is the profit per kg?
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Answer:
total cost= RS.4050
Total SP= 75*45+25*47.5
TOtal SP= 4562.5
PRofit= 512.5
Profit %= 512.5/4050*100
Profit%=12.7%
Step-by-step explanation:
PLS HELP ASAP If -2 is added to each of the x and y intercepts of the line 3x + 2y = 6, find the new equation of the line
Answers
Answer:
3x + 2y = -4
Step-by-step explanation:
x intercept of the line occurs at y = 0
Given the equation 3x+2y = 6
3x+2(0) = 6
3x = 6
x = 2
The x intercept is at (2, 0)
Adding -2 to each axis will give (2-2, 0-2) = (0, -2)
y intercept of the line occurs at x = 0
Given the equation 3x+2y = 6
3(0)+2y = 6
2y = 6
y =3
The x intercept is at (0, 3)
Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)
The new coordinates are (0, -2 and (-2, 1)
Using the point slope form of the equation y - y0 = m(x-x0)
slope m = y2-y1/x2-x1
m = 1-(-2)/-2-0
m = 1+2/-2
m = -3/2
Using m = -3/2 and (0, -2)
y - (-2) = -3/2(x-0)
y+2 = -3/2 x
2(y+2) = -3x
2y+4 = -3x
-3x-2y = 4
3x + 2y = -4
Hence the required equation is 3x + 2y = -4
For a certain population of sea turtles, 18 percent are longer than 6.5 feet. A random sample of 90 sea turtles will be selected. What is the standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90
Answers
Answer:
The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405
Step-by-step explanation:
Central Limit Theorem:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
18 percent are longer than 6.5 feet.
This means that [tex]p = 0.18[/tex]
A random sample of 90 sea turtles
This means that [tex]n = 90[/tex]
What is the standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.18*0.82}{90}} = 0.0405[/tex]
The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405
In this exercise we have to use the knowledge of proportionality to calculate the samples, so we have to:
The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.00164
Using the knowledge about central limit theorem, we will have what the proportion will be;
For a balance between parts of whole p fashionable a sample of extent or bulk of some dimension n, the sampling allocation of the sample relative amount will exist nearly usual with mean and predictable difference, so we have that:
[tex]S=\sqrt{\frac{p(1-p)}{n} }\\p=0.18\\n=90\\S=\sqrt{\frac{0.18(1-0.18)}{90} }=0.00164[/tex]
See more about proportion at brainly.com/question/2548537
Help please I need help with this mathematic question ????
Answers
Answer:
D
Step-by-step explanation:
Not 100 percent sure but if you add the 50 and 62 degrees then you get 112
Answer:
112
Step-by-step explanation:
you need to add 50 and 62
First verify that y(x)y(x) satisfies the given differential equation. Then determine a value of the constant CC so that y(x)y(x) satisfies the given initial condition. Use a computer or graphing calculator (if desired) to sketch several typical solutions of the given differential equation, and highlight the one that satisfies the given initial condition.
x dy/dx+3y=2x5; y(x)=1/4 x5+Cx−3,y(2)=1
Answers
Answer:
at constant C = -56 satisfies the given condition of y(x)
Step-by-step explanation:
differentiate y(x) w.r.t.x
[tex]y' (x ) = \frac{d}{dx} (\frac{1}{4} x^5 +Cx^{-3} )[/tex]
= [tex]\frac{1}{4}\frac{d}{dx} (x^5) + C\frac{d}{dx} (x^{-3} )[/tex]
= [tex]\frac{5}{4} x^4 - 3Cx^{-4}[/tex]
attached is the remaining part of the detailed solution and the sketch of the several typical solutions
Rich is tossing a normal quarter. He tosses the quarter 25 times and it lands on heads 5 times. If Rich tosses the quarter again, what is the probability that it lands on tails? Input your answer in fraction form.
Answers
Answer:
ss
Step-by-step explanation:
sss
Answer:
1/2
Step-by-step explanation:
No matter how many times you get tails or heads it will always be 50/50
NEED HEPL ASAP. If mZPOQ = 19, and mZQOR = 31
and mZROS = 15, what is mZPOS?
Answers
Answer:
65
Step-by-step explanation:
just to sum all the given measurements:
19+31+15=65.
Sam can ride his bike 4.2 kilometers in 6 minutes. Amanda can ride her bike 3.2 kilometers in 8 minutes. Jesse can ride his bike 3.0 kilometers in 5 minutes.
Which rider might go farther in 1 minute?
Answers
Answer:
jesse or sam i think its sam by a little bit.
Step-by-step explanation:
Answer:
Sam
Step-by-step explanation:
Find all of their speeds to find how far they will go in 1 minute, by dividing the number of kilometers by the number of minutes:
Sam
4.2/6
= 0.7 km/min
Amanda
3.2/8
= 0.4 km/min
Jesse
3/5
= 0.6 km/min
Since 0.7 is the greatest number, that means Sam is the rider that will go the farthest in one minute.
I need some help please !
Answers
Answer: prob 8
Step-by-step explanation:
[tex]10 + {8}^{2} \div 2 \times {3 }^{2} [/tex]
Answers
=10+32*9
=10+288
=298
A technician can complete a mammogram is 15 minutes. How many mammograms can the technician complete in an 8 hour workday? (8 hours = 480 minutes)
Answers
Answer:
78
Step-by-step explanation:
NEED THESE ASAP Identify the vertex of each :
Answers
6: (1,-4)
7:(1,4)
Terry and Jan are in college. Terry has earned twice as many credits as Jan. How many credits do Jan & Terry have if together they earned 51 hours ?
Answers
Answer:
Jan has 17 credits and Terry has 34 credits.
Step-by-step explanation:
Set up an equation:
Assume Jan’s credits is x
Terry’s credits is 2x
They add up to 51 hours.
Equation: 2x+x=51
x= 17
Jan: 17 credits
Terry: 34 credits.
I need help what is the simplest form for the number 10 6/9?
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3 - r/8 = -9.2
solve for r and explain
Answers
Answer:
r = 97.6
Step-by-step explanation:
3 - r/8 = -9.2
24 - r = - 73.6
- r = - 73.6 - 24
- r = - 97.6
r = 97.6
can you answer this
Answers
Answer:
B. 7ab²c
Step-by-step explanation:
The GCF of 21a²b^4c and 49ab²c³ is
7ab²c
Answer:
The correct answer is b.
Diana takes twice as long as her sister to swim across a pool. Diana swims across in 410 410 seconds. How many seconds does her sister take to swim across?
Answers
Answer:
205 sec
Step-by-step explanation:
x = sister
2x = Diana
2x = 410
x = 205
205 sec
hope this makes sense
410 / 2 = 205 seconds
x + 15 = 28
O A. x= 13
O B. x = 33
O C. x = 43
O D. x = 23
Answers
Answer:
A
Step-by-step explanation:
the answer is
x+15=28
x=28-15
x= 13
Answer:
A
Step-by-step explanation:
x+15=28
move 15 to the other side
and change the + to -
x=28-15
x=13
Can someone help me please
Answers
Answer:
5n units
Step-by-step explanation:
C=2πr =2·π·2.5