Answers
9414 1404 393
Answer:
A. 3.46
Step-by-step explanation:
The side ratios of a 30°-60°-90° triangle are 1 : √3 : 2. You are given the short side GF of this triangle, so its long side is GH = GF·3.
Then the area of ΔGFH is ...
A = 1/2(GF)(GH) = 1/2(4)(4√3) = 8√3 ≈ 13.86 . . . . square units
__
Segment GI divides the area of ΔGFH in half, so that ΔGFI is half the above area. Segments GF, FI, IH, GI are all congruent, so segment GJ divides isosceles triangle GFI in half. That is. ΔGJI is half the area of ΔGFI, so is 1/4 the area of GFH.
Area of ΔGJI = (8√3)/4 = 2√3 ≈ 3.46 . . . square units
Related Questions
In another state, all license plates consist of 6 symbols chosen from the 26 letters of the alphabet and the digits 0-9. How many license plates are possible if no repetitions are allowed and there must be exactly 3 letters followed by 3 numbers
Answers
Answer:
11,232,000 license plates are possible.
Step-by-step explanation:
The order in which the symbols are chosen is important(ABC is a different plate than BAC), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
3 letters from a set of 26.
3 digits from a set of 10. So
[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!} \times \frac{10!}{7!} = 11232000[/tex]
11,232,000 license plates are possible.
Which equation is true?
f of negative 10 = 1
f of 2 = negative 10
f of 0 = 6
f of 1 = negative 10
Answers
Answer:
f(0) = 6
Step-by-step explanation:
Complete question:
The function f (x) is given by the set of ordered pairs 1,0 (-10,2), (0,6) (3,17) (-2,-1) which equation is true
f(-10)=1
f(2)=-10
f(0)=6
f(1)=-10
Given the coordinate (x, y). This shows that the input function is x and the output function is y, i.e. f(x) = y
From the pair of coordinates given, hence;
f(1) = 0
f(-10) = 2
f(0) = 6
f(3) = 17
f(-2) = -1
From the following options, this shows that f(0) = 6 is correct
Answer:
f(0) = 6
Step-by-step explanation:
EDGE
William's assembly unit has decided to use a p-Chart with 2-sigma control limits to monitor the proportion of defective castings produced by their production process. The quality control manager randomly samples 150 castings at 10 successively selected time periods and counts the number of defective castings in the sample.
Sample Defects
1 9
2 14
3 9
4 9
5 13
6 8
7 12
8 10
9 12
10 11
Required:
a. What is the Center Line of the control chart?
b. What value of z should be used to construct the control chart?
c. What is the Upper Control Limit?
d. What is the Lower Control Limit?
Answers
Answer: attached below is the missing p chart
a) 0.07133
b) 2
c) 0.098
d) 0.045
Step-by-step explanation:
sample size = 150 castings
number of periods = 10
a) Determine the center Line of the control chart
( 0.06 + 0.0933 + 0.06 + 0.06 + 0.0867 + 0.0533 + 0.08 + 0.067 + 0.08 + 0.073) / 10
mean = 0.07133
standard deviation = 0.01335
b) Determine the value of Z to be used
Given that we are using 2sigma limits .
the value of Z to be used = 2
c) Upper limit control
= mean value + z-value * std
= 0.0713 + 2*0.01335 = 0.098
d) Lower Control Limit
= mean value - z-value * std
= 0.0713 - 2*0.01335 = 0.045
The mean examination mark of a random sample of 1390 students is 67% with a standard deviation of 8.1%.
How many students scored above 80%? (Round to the nearest student)
Answers
Answer:
76 students scored above 80%.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The mean examination mark of a random sample of 1390 students is 67% with a standard deviation of 8.1%.
This means that [tex]\mu = 67, \sigma = 8.1[/tex]
Proportion above 80:
1 subtracted by the p-value of Z when X = 80, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80 - 67}{8.1}[/tex]
[tex]Z = 1.6[/tex]
[tex]Z = 1.6[/tex] has a p-value of 0.9452.
1 - 0.9452 = 0.0548.
Out of 1390 students:
0.0548*1390 = 76
76 students scored above 80%.
help me please!! please help!
Answers
Answer:
1. 7:20hrs round to 7 hours (1 hour =60 minuite, and 20 is less than half of 60)
2. All numbers when divide by 1 is equal to itself (you can try with any number)
3. 9365<9635
the the second digit of 9635 is 6
the the second digit of 9365 is 3
Thus 9635 is greater
Brainliest please~
Which of the following describes an angle with a vertex at Z?
Answers
About 9% of the population has a particular genetic mutation. 400 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 400
Answers
Answer:
36 people
Step-by-step explanation:
The expected value E(X) = mean of sample = np
Where, p = population proportion, p = 9% = 0.09
n = sample size, = 400
The mean of the number of people with genetic mutation, E(X) = np = (400 * 0.09) = 36
36 people
which of the following tables represents an inverse variation between x and y
Answers
Answer:
I think that d is the answer
The temperature at 5 a.m. was −7.4°C. By 9 a.m., the temperature was −4.7°C. How much warmer was the temperature at 9 a.m.?
Answers
Answer:
2.7°C.
Step-by-step explanation:
If it was -7.4°C. at 5 am, then -4.7°C. at 9am, then the temperature rose by 2.7°C.
Proof:
-7.4
-4.7
--------
2.7
Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the red spectrum from 640 to 680 nm. What is the mean and variance of the wavelength distribution for this radiation?
Answers
2
E.T.S.I. Agronómica, Alimentaria y de Biosistemas, Universidad Politécnica de Madrid, 28040 Madrid, Spain
3
CRETUS Institute, Department of Chemical Engineering, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain
*
Author to whom correspondence should be addressed.
Simplify to the extent possible:
(logx16)(log2 x)
Answers
Answer:
Step-by-step explanation:
Use the change-of-base rule.
write √3 x √6 in the form b√2 where b is an integer
Answers
Answer:
[tex]3 \sqrt{2} [/tex]
Step-by-step explanation:
[tex] \sqrt{(9 \times 2)} [/tex]
Take the square root of 9 out of the square root and leave the 2 in.
Answer:
3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the rules of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{3}[/tex] × [tex]\sqrt{6}[/tex]
= [tex]\sqrt{3(6)}[/tex]
= [tex]\sqrt{18}[/tex]
= [tex]\sqrt{9(2)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex]
= 3[tex]\sqrt{2}[/tex]
1. Which expression is equivalent to 9k + 16? Explain why.
A 4 + 5k + 10 +6
B 4 + 3k + 2k + 10 +6
C2k +7 + 10 + 6
D 3k + 4k + 2k + 10 +6
Answers
Answer:
D
Step-by-step explanation:
3k +4k+2k+10+6
Collect like terms
9k +16
Answred Gauthmath
Answer:
D 3k + 4k + 2k + 10 +6
Step-by-step explanation:
A 4 + 5k + 10 +6 Combine like terms
5k+ 20 not equal
B 4 + 3k + 2k + 10 +6 Combine like terms
5k +20
C 2k +7 + 10 + 6 Combine like terms
2k + 23
D 3k + 4k + 2k + 10 +6 Combine like terms
9k+ 16
Please help me solve log3(2x+5)=3
Answers
Answer:
x = -2
Step-by-step explanation:
Divide both sides by 3
3 (2x + 5)/3 = 3/3
Simplify
2x + 5 = 1
Subtract 5 from both sides
2x + 5 - 5 = 1 - 5
Simplify
2x = -4
Divide both sides by 2
2x/2 = -4/2
Simplify: 2x/2
Divide the numbers: 2/2 = 1
= x
Simplify: -4/2
Apply the fraction rule: -1/b = -a/b
= - 4/2
Divide the numbers: 4/2 = 2
= -2
x = -2
Solve the system of equations below using the inverse of matrix
Answers
Answer:
(x, y) = (4,-3)
Step-by-step explanation:
...............
.
.
.
.
Rectangle QRST with vertices Q(-3,2), R(-1,4), S(2,1), and T(0,-1)) in the x-axis
Answers
Answer:
D
Step-by-step explanation:
The coordinate of the new rectangle after the reflection across will be Q'(-3, -2), R'(-1, -4), S'(2, -1), and T'(0, 1). Then the correct option is D.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The reflection does not change the shape and size of the geometry. But flipped the image.
Rectangle QRST with vertices Q(-3, 2), R(-1, 4), S(2, 1), and T(0, -1).
The coordinate of the new rectangle after the reflection across is given as,
Q' = (-3, -2)
R' = (-1, -4)
S' = (2, -1)
T' = (0, 1)
The coordinate of the new rectangle after the reflection across will be Q'(-3, -2), R'(-1, -4), S'(2, -1), and T'(0, 1). Then the correct option is D.
More about the transformation of a point link is given below.
https://brainly.com/question/27224339
#SPJ2
A survey of 77 teenagers finds that 30 have 5 or more servings of soft drinks a week. a. Give a 90% confidence interval for the proportion of teenagers who have 5 or more servings of soft drinks a week. b. In the general population, 30% have 5 or more servings of soft drinks a week. Is there evidence that a higher proportion of teenagers have 5 or more servings of soft drinks a week than the general population
Answers
Answer:
a) The 90% confidence interval for the proportion of teenagers who have 5 or more servings of soft drinks a week is (0.2982, 0.481).
b) 30% = 0.3 is part of the confidence interval, which means that there is no evidence that a higher proportion of teenagers have 5 or more servings of soft drinks a week than the general population.
Step-by-step explanation:
Question a:
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.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
A survey of 77 teenagers finds that 30 have 5 or more servings of soft drinks a week.
This means that [tex]n = 77, \pi = \frac{30}{77} = 0.3896[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3896 - 1.645\sqrt{\frac{0.3896*0.6104}{77}} = 0.2982[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3896 + 1.645\sqrt{\frac{0.3896*0.6104}{77}} = 0.481[/tex]
The 90% confidence interval for the proportion of teenagers who have 5 or more servings of soft drinks a week is (0.2982, 0.481).
Question b:
30% = 0.3 is part of the confidence interval, which means that there is no evidence that a higher proportion of teenagers have 5 or more servings of soft drinks a week than the general population.
A G.P is such that the 3rd term minus a first term is 48. The 4th term minus 2nd term 144. Find: (i) Common ratio ii) The first term (ii) 6th term of the sequence
Answers
Answer:
Step-by-step explanation:
r is the common ratio.
Third term minus first term is 48.
a₃ - a₁ = 48
a₃ = a₁r²
a₁r² - a₁ = 48
a₁(r²-1) = 48
r²-1 = 48/a₁
Fourth term minus second term is 144.
a₄ - a₂ = 144
a₂ = a₁r
a₄ = a₁r³
a₁r³ - a₁r = 144
a₁r(r²-1) = 144
r²-1 = 144/(a₁r)
48/a₁ = 144/(a₁r)
r = 3
:::::
r²-1 = 48/a₁
a₁ = 6
:::::
a₆ = a₁r⁵ = 1458
(i) The common ratio for the given condition is 3.
ii) The first term of the sequence is 6.
iii) The 6th term of the sequence is 1458.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,
It is given that a is a geometric progression such that the 3rd term minus a first term is 48. The 4th term minus the 2nd term 144.
Each number following the first in a geometric sequence is multiplied by a particular number, known as the common ratio.
As the third term minus the first term is 48.
a₃ - a₁ = 48
a₃ = a₁r²
a₁r² - a₁ = 48
a₁(r²-1) = 48
r²-1 = 48/a₁
The fourth term minus the second term is 144.
a₄ - a₂ = 144
a₂ = a₁r
a₄ = a₁r³
a₁r³ - a₁r = 144
a₁r(r²-1) = 144
r²-1 = 144/(a₁r)
48/a₁ = 144/(a₁r)
r = 3
r²-1 = 48/a₁
a₁ = 6
a₆ = a₁r⁵ = 1458
Thus the common ratio for the given condition is 3, the first term of the sequence is 6 and the 6th term of the sequence is 1458.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ2
Any help would be very appreciated
Answers
Answer:
21
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 60 = x / 7 sqrt(3)
7 sqrt(3) tan 60 = x
7 sqrt(3) sqrt(3) = x
7*3 = x
21 = x
CAN SOMEONE PLEASE HELP??????
Maintaining your balance may get harder as you grow older. A study was conducted to see how steady the elderly is on their feet. They had the subjects stand on a force platform and have them react to a noise. The force platform then measured how much they swayed forward and backward, and the data is in table #7.3.10 ("Maintaining balance while," 2013). Do the data show that the elderly sway more than the mean forward sway of younger people, which is 18.125 mm? Test at the 5% level.
Table #7.3.10: Forward/backward Sway (in mm) of Elderly Subjects
19
30
20
19
29
25
21
24
50
Answers
Answer:
Reject H0 and conclude that adults sway more than the mean forward sway for younger people.
Step-by-step explanation:
H0 : μ = 18.125
H0 : μ > 18.125
Sample data: 19 30 20 19 29 25 21 24 50
Sample size, n = 9
Sample mean, xbar = Σx / n = 237 / 9 = 26.333
Sample standard deviation, s = 9.772 (calculator)
The test statistic :
(xbar - μ) ÷ (s/√(n))
T = (26.333 - 18.125) ÷ (9.772/√(9))
T = 8.208 / 3.2573333
T = 2.519 = 2.520
Decison :
Reject H0 ; If Pvalue < α
The Pvalue :
Degree of freedom, df = n - 1 ; df = 9 - 1 = 8
Pvalue(2.520; 8) = 0.0179
Since 0.0179 < 0.05 ; WE reject H0 and conclude that adults sway more than the mean forward sway for younger people.
This is a list of the heights ( each nearest cm ) of 12 children
150 134 136 139 131 141
132 134 136 137 150 146
Select the type of the data.
Discrete
Continuous
Categorical
Qualitative
choose one
NO FAKE ANSWERS
FIRST MARKED BRAINLIST
Answers
qualitative
Step-by-step explanation:
b cos the question is in quality format
Answer:
cutee!
SUP???
Hiii friend :]
cuteee~!
prettyyy
The function above models hhh, the height of a flower pot in meters, ttt seconds after it falls from a fourth floor balcony. What is the height of the flower pot, in meters, 333 seconds after it falls
Answers
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the function is not given.
However, I will give a general rule.
From the question, we understand that the question requires the value of h(3)
Assume:
[tex]h(t) = 20 - 4t[/tex]
Then:
[tex]h(3) = 20 - 4*3[/tex]
[tex]h(3) = 20 - 12[/tex]
[tex]h(3) = 8[/tex]
Which equation could represent a linear combination of the systems?
Answers
9514 1404 393
Answer:
(b) 0 = -78
Step-by-step explanation:
Subtracting 6 times the first equation from the second will give ...
(4x +15y) -6(2/3x +5/2y) = (12) -6(15)
0 = -78
Answer:
the answer is b
Step-by-step explanation:
round 8 5/6 to the nearest whole number
Answers
Answer:
9
Step-by-step explanation:
8 5/6
5/6 is close to 1 so it will round up
8+1 = 9
8 5/6 rounds to 9
Answer:
[tex]9[/tex]
Step-by-step explanation:
Step 1: Round [tex]8\frac{5}{6}[/tex] to the nearest whole number
In order to round up, the fraction needs to be either 1/2 or greater than 1/2. In our case, it is greater than half therefore we will round up to 9.
Answer: [tex]9[/tex]
Please help me thank you
Answers
9514 1404 393
Answer:
y = 32.1x +779.91165 cases in 2010Step-by-step explanation:
A suitable statistics calculator can tell you the coefficients of the linear regression equation. In the attached, we put the given x- and y-values into a table and asked for the best fit equation. Rounded to tenths, the equation is ...
y = 32.1x +779.9
The year 2010 is 12 years after 1998, so we can find the desired projection using x=12.
y = 32.1×12 +779.9 = 385.2 +779.9 = 1165.1
The number of cases is projected to be 1165 in 2010.
_____
We wonder if using the button "Open Statistics Calculator" will let you solve this question yourself.
I need help with this
Answers
Answer:
D. Rotation reflection is the right answer
Answer:
Rotation, reflection
Step-by-step explanation:
R and I are equal so if you rotate clockwise you'll see I is in the top left and R would be in the bottom left. By reflecting, it's like flipping a pancake. R will now be in the in the top left on top of I.
(It's kind of weird to explain) Sorry if that was confusing.
I tried everything from adding to dividing, subtracting, multiplying but still no correct answer. Can someone help me out here please? Thank you!
Answers
Answer:
a)125/291
b) 48/73
Step-by-step explanation:
a) total of yes/total asked
b) total above average yes/ total above average (yes and no)
Answer:
See explanation. You didn't specify on whether the problem asks for a fraction or decimal, so I put both decimal and fraction.
Step-by-step explanation:
First we answer a:
Total amount of people polled is 291. Number of people who wear glasses is: [tex]48 + 51 + 26 = 125[/tex]
Divide to get the proportion: [tex]\frac{125}{291}[/tex] which is also equal to: 0.4295532646
Then we answer b:
b asks for the proportion of all above average readers who wear glasses, so the total number would be: [tex]48 + 25 = 73[/tex]. The number of above average readers who wear glasses is then 48.
We then get the proportion: [tex]\frac{48}{73}[/tex], which is also equal to 0.6575342466.
a pit is 7m long, 5m wide,and 8m deep how many cubic meter of sand will fill the pit?
Answers
Answer:
280
Step-by-step explanation:
7 x 5 x 8
What is the value of cot ø= 2/3 what is the value of csc ø
Answers
Answer:
Step-by-step explanation:
cotθ = cosθ/sinθ = 2/3
sinθ = 3/√(2²+3²) = 3/√13
cscθ = 1/sinθ = √13/3
Question 7(Multiple Choice Worth 1 points)
(07.02 MC)
Jason has two bags with 6 tiles each. The files in each bag are shown below
1
2
3
4
5
6
Without looking, Jason draws a file from the first bag and then a file from the second bag What is the probability of Jason drawing the file numbered 5 from the first bag and an odd file from the second bag?
0
영
o
Answers
Answer:a.3/6
Step-by-step explanation:
Because there’s a total of 12 files in each bag which is 6 in each
