Answer:
answer option number 4
Step-by-step explanation:
Answer:
p(2,-4) q(3,-1) r(4,-4)
Step-by-step explanation: Reflecting across the y axis changes the x coordinates.
.11 A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution.
Answer:
The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]M = \frac{1.01+0.97+1.03+1.04+0.99+0.98+0.99+1.01+1.03}{9} = 1[/tex]
Sample standard deviation:
Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So
[tex]s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657[/tex]
Confidence interval:
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 = 9 - 1 = 8
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.355
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.355\frac{0.0657}{\sqrt{9}} = 0.07[/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 1 - 0.07 = 0.93
The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07
The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.
A shipment of fibers is not acceptable if the mean breaking strength of the fibers is less than 50.03 N. A large sample of fibers from this shipment was tested, and a 98% lower confidence bound for the mean breaking strength was computed to be 50.1 N. Someone suggests using these data to test the hypotheses H0 : μ ≤ 50.03 versus H1 : μ > 50.03. Is it possible to determine from the confidence bound whether P < 0.01? Explain.
Answer:
NO it is not possible
Step-by-step explanation:
It is not possible to determine from the confidence bound whether p < 0.01 and this is because since the 50.03 is less than 98% lower confidence bound which is 50.1 N , we know that p value < 0.03 but P value might be ≥ 0.01 . hence we cannot determine from the confidence bound whether p < 0.01
Hannah was setting up a room with tables for an event. The room had 12 popular tables and 3 maple tables. What is the probability that the first person to enter the room will be randomly seated at a maple table? Give your answer as a reduced fraction.
Answer:
4 , 12 divided by 3 equals 4
Step-by-step explanation:
A spinner is shown below. What is the probability of spinning a dotted or solid section?
a. 2/3
b. 1/2
c. 1/4
d. 1/5
Answer:
b
Step-by-step explanation:
There are four solid and dotted sections and eight sections in total so the probability is 4/8 or 1/2
help me please:(**********
Answer:
11.7
Step-by-step explanation:
First HK can be found via Pythagorean Theorem
6^2 + 10^2 = 36 + 100 = 136
The square root of 136 is (rounded to the nearest tenth): 11.7
GJ is congruent to HK
GJ = 11.7
Need answer asap, will give brainliest
Answer:
35
Step-by-step explanation:
In the diagram, chords LM and NP are parallel and the measure of angle M = 68º.
Determine the value of x.
Answer: 44
Step-by-step explanation:
180-68-68 = 44
10. What value of x and y will make the polygon a
parallelogram?
Answer:
Step-by-step explanation:
20 = 5y
4=y
x+3y = 2(x+y-1)
x+3y = 2x +2y -2
x+3(4) = 2x + 2(4) -2
x +12 = 2x +8 -2
12-8+2 = 2x -x
6 =x
The values of x and y that makes the polygon a parallelogram is 6 and 4 respectively.
What is a parallelogram?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal, and opposite angles equal.
Given is a polygon,
We know opposite sides of a parallelogram are equal,
Therefore,
5y = 20
y = 20/5
y = 4
And,
Putting y = 4, in x+3y = 2(x+y-1)
x+12 = 2(x+3)
x+12 = 2x+6
x = 12-6
x = 6
Hence, The values of x and y that makes the polygon a parallelogram is 6 and 4 respectively.
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In circle D with mZCDE = 112 and CD = 9 units, find the length of arc CE.
Round to the nearest hundredth.
Answer:
CE= 17.59
Step-by-step explanation:
Arc Length=central angle/ 360 (circumference)
CE= 112/ 360 (2π9)
CE= 17.59
Select the correct answer. The graph of function f is shown. Function g is represented by the table. x -1 0 1 2 3 g(x) -24 -4 0 Which statement correctly compares the two functions? A. They have the same x-intercept and the same y-intercept. B. They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.
The answer is c
A. They have the same x-intercept and the same y-intercept. B. They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.
A sewing instructor asked his students how many spools of knitting yarn they carried in their sewing kits. The table shows the data he recorded.
what is 8 (x/4 - 6) < 4
Answer:
x<26
Step-by-step explanation:
8(x/4 - 6) < 4
Divide both sides by 8;
8(x/4 - 6)/8 < 4/8
Simplify;
x/4-6<1/2
Add 6 to both sides;
x/4-6+6<1/2+6
Simplify;
x/4-6+6<1/2+6
Simplify
x/4-6+6
=x/4
Simplify;
1/2+6
Convert it into a fraction;
6*2/2+1/2
Since the denominators are equal combine the fractions;
6*2+1/2
6*2+1=13
=13/2
x/4<13/2
Multiply both sides by 4;
4x/4<13*4/2
Simplify 4x/4
4x/4
4/4=1
=x
Simplify 13*4/2
Multiply the numbers:13*4=52
=52/2
Divide the numbers:52/2=26
=26
x<26
HOPE THIS HELPED!!!
What is the r-value of the following data, to three decimal places?
х
у
4
26
5
11
8
13
9
2
13
1
Answer:
The answer is -0.828
Step-by-step explanation:
I took the quiz and i gt this question correct, hope it helps!
The r-value of the given data is 0.374.
What is a correlation coefficient?The correlation coefficient, denoted as r, is a statistical measure that describes the strength and direction of the linear relationship between two variables.
It ranges between -1 and +1, where -1 indicates a perfect negative correlation (inverse relationship), +1 indicates a perfect positive correlation (direct relationship), and 0 indicates no correlation between the variables.
We have,
First, we need to find the correlation coefficient (r) of the given data.
We can use the following formula to do this:
r = [n∑(xy) - (∑x)(∑y)] / [√{n∑x² - (∑x)²} √{n∑y² - (∑y)²}]
where n is the number of data points, x, and y are the respective variables, and ∑ denotes the sum of the values.
Using the given data, we can calculate the values as follows:
n = 5
∑x = 39
∑y = 53
∑(xy) = 442
∑x^2 = 483
∑y^2 = 1249
Substituting these values into the formula, we get:
r = [5(442) - (39)(53)] / [√{5(483) - (39)^2} √{5(1249) - (53)²}]
r = [2210 - 2067] / [√(2415) √(5660)]
r = 143 / (61.898 75.245)
r = 0.374 (rounded to three decimal places)
Therefore,
The r-value of the given data is 0.374.
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A right triangle has side lengths d, e, and f as shown below.
Use these lengths to find tanx, sinx, and cosx.
Answer:
tanx=d/f, sinx=d/e, cosx=f/e
Step-by-step explanation:
Find the opposite, Adjacent and hypotenuse of the right triangle.
Opposite= d , Adjacent= f, Hypotenuse= e
Tanx = opposite/adjacent
Sinx= opposite/hypotenuse
Cosx= adcajent/hypotenuse
If a cylinder has a height of 5 and a volume of 98, what is the radius to the nearest tenth?
Answer:
r ≈ 2.5
Step-by-step explanation:
98 = 5(πr^2)
divide 5 by both sides
19.6 = πr^2
divide π by both sides
6.2388 = r^2
square root both sides
r = 2.49777
r ≈ 2.5
Evaluate f(x) = 3x + 8 for x = 1.
-11
5
11
3
Answer:
11
Step-by-step explanation:
f(x)=3x+8
f(1)=3(1)+8
f(1)=3+8
f(1)=11
Answer:
The anwser is 11
Step-by-step explanation:
You just replace x with 1, and solve, so it would be 3(1) + 8, which is 11.
What is the volume of a pentagonal prism that has a base area of 5.16 cm2 and a height of 9 cm? 46.44 cm 3 19.32 cm 3 55.32 cm 3 14.16 cm 3
Answer:
16.44 would be your right answer
Step-by-step explanation:
Answer:
46.44 cm 3
Step-by-step explanation:
can you help me find the value of each shape plz
Answer:
Star = 10Square = 4Circle = 1Step-by-step explanation:
Hope it helps you!
what is the measure of angle KIT?
Answer:
80°
Step-by-step explanation:
In rhombus, opposite angles are equal. i.e <KET = <KIT
Triangle KET is isoceles, which means both parts of angle E are equal.
Angle E = 40 + 40
Angle E = 80
If angle E is 80 than Angle I is also 80.
Nolan has a points card for a movie theater.
He receives 20 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs at least 40 points for a free movie ticket.
Write and solve an inequality which can be used to determine
v
v, the number of visits Nolan can make to earn his first free movie ticket?
Answer:
V>_8
Step-by-step explanation:
20+2.5v >_ 40
The number of visits Nolan can make to earn his first free movie ticket is 8.
How many visits before Nolan wins a free movie ticket?The inequality that represents the information in the question is: 20 + 2.5x ≥ 40.
Where x represents the number of visits to the movie theater.
In order to determine the value of x, take the following steps combine similar terms
2.5x ≥40 - 20
Add similar terms
2.5x ≥ 20
Divide both sides by 2.5
x ≥ 8
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Simplify using the product rule.
a^4 x a^3
Answer: the answer to the question is a7x
Step-by-step explanation:
11
5. What is the volume of a cuboid that is 8cm long, 4cm
wide and 3cm high.
Answer:
Volume = 96 cm³Step-by-step explanation:
Length (L) = 8cm
Breadth (B) = 4cm
Height (H) = 3cm
........................................
Volume = L × B × H
= 8 × 4 × 3
= 96cm³
HELP THIS IS DUE AT 1:30
Focus Question. (Respond to the following prompt in three to five sentences please.)
Describe the accomplishments in the arts, philosophy, and literature during the Ming dynasty learn from the Ming Dynasty?
Answer:
The Ming Dynasty contributed significantly to the fields of culture, science, and technology. Moreover, textiles and mining industries also flourished during this time. Towards the end of the Ming Dynasty, a capitalist production system was gradually developing. The Ming Dynasty achievements resulted in many entrepreneurs readily seizing economic development opportunities building the great wall. One of the most significant Ming Dynasty achievements in engineering is the completion and repair of the Great Wall. Ming, The restoration of the Grand Canal was also an important achievement of this era. A wide range of machinery and equipment from which silk and cotton looms were made were invented during this era. Dynasty achievements also included significant contributions in the fields of philosophy, art, and literature. The Forbidden City, Beijing, was an essential architectural achievement that was also constructed during this era.
The famous white and blue porcelain of China originated in the era of the Ming Dynasty.
Step-by-step explanation:
The Ming Dynasty (1368-1644) was a period of great artistic and cultural achievements in China.
What is Ming dynasty?In China, the Ming dynasty was a time of great cultural and artistic flourishing, with significant contributions to literature, philosophy, and the arts.
Here are some of the Ming dynasty's achievements in the arts, philosophy, and literature:
Ming dynasty art was distinguished by a return to traditional Chinese painting techniques as well as a focus on naturalistic and realistic depictions of the world.Confucianism was the dominant philosophy during the Ming dynasty, and it played an important role in shaping society and culture.Literature: During the Ming dynasty, vernacular Chinese literature developed, which was more accessible to common people than classical Chinese language.The Ming dynasty is known for its magnificent architecture, which includes the Great Wall of China, the Forbidden City, and the Temple of Heaven.Thus, these are the accomplishments in the arts, philosophy, and literature during the Ming dynasty learn from the Ming Dynasty.
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Asa has 4 pairs of shoes, 5 pairs of pants, and 4 shirts which can be worn in any combination. he need to choose an outfit to wear to his friends birthday party. how many different combinations consisting of one item in each category are possible?
A.9
B.13
C.20
D.40
E.80
Answer:
E
Step-by-step explanation:
Please help me I need help with this as quick as possible my dad is right next to me...
Answer:
there isnt a question... what do you need help with?
Answer:
.-. >_>
Step-by-step explanation:
Helppp pleaseeeeeeweeeeeeee
Answer:
55°
Step-by-step explanation:
The angle is part of a 90° angle, so you do 90°-35° to get 55°.
Give branliest please. :)
Answer:
90 degrees - 35 degrees = x degrees, this will give you 55 degrees
find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any trial is 9%
Answer:
0.8746 = 87.46% probability of at least 6 failures in 7 trials.
Step-by-step explanation:
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.
7 trials
This means that [tex]n = 7[/tex]
The probability of success in any trial is 9%?
So the probability of a failure is 100 - 9 = 91%, which means that [tex]p = 0.91[/tex]
Probability of at least 6 failures in 7 trials?
This is:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{7,6}.(0.91)^{6}.(0.09)^{1} = 0.3578[/tex]
[tex]P(X = 7) = C_{7,7}.(0.91)^{7}.(0.09)^{0} = 0.5168[/tex]
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.3578 + 0.5168 = 0.8746[/tex]
0.8746 = 87.46% probability of at least 6 failures in 7 trials.
Nicole is solving the equation and realizes there's a mistake.
A) Determine the mistake
B) Determine the correct answer.
- 2x -4>8
-2x - 4+4>8+4
-2x >12
- 2x/2 > 12 /2
x>-6
Answer:
She forgot to multiply both sides by -1 and reverse the inequality. She also didn't flip the signs.
Step-by-step explanation:
- 2x -4>8
-2x - 4+4>8+4
-2x >12
(-2x)(-1)<12(-1)
2x<-12
2x/2<-12/2
x<-6
Hope this helped!!!
Find the value of x in the triangle shown below.
a. x=4
b.x=5
c.x=2
d.x=32
Answer:
Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]by using Pythagoras law:h²=p²+b²
9²=x²+7²
x²=81-49
x=√32units
The cosine of a 30 degree angle is equal to the sine of a