Answer:
x=12
Step-by-step explanation:
Complementary angles add up to 90 degrees. 90-66=24. 24 divided by 2 is 12.
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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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:
NEED HELP ASAP 10 min !!!!!!!!!!!!!!
hurry please i have 2 minutes left
Answer:
Option D
Step-by-step explanation:
Option A would not be accurate
Option B would not be accurate
Option C wouldn’t be a valid option
Option D would be accurate
Option E wouldn’t be accurate at all
Option F not a good one
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 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
Simplify using the product rule.
a^4 x a^3
Answer: the answer to the question is a7x
Step-by-step explanation:
Use the binomial squares pattern to multiply (6u3−v)2.
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Answer: 36u^6-12u^3v + v^2
Explanation:
I hope this helped!
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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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Help me pls. You will get a lot of points
Answer:
2y = 7
y = 3 1/2
Step-by-step explanation:
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.
Will all slices created by a slicing plane that passes through a sphere be the same size
Answer:
The suggestion proposed considering special cases, so that’s what we’ll do.
One special case we could consider is when x=0. If h=r, then we have a hemisphere. You may have learnt that the surface area of a sphere is 4πr2, so the answer in this case is 2πr2. Likewise, we can consider the most extreme cases: when h=2r, we get an area of 4πr2 (the entire sphere), and when h=0, we get zero area.
So if we do manage to get a general formula, we will be able to check it in these special cases.
Another possible idea when x=0 is to consider what happens when h is very small. In this case, the surface area looks a lot like a circle, but the radius of the circle does not seem particularly easy to work out, so maybe we’ll leave this one for a moment. (There are things we can do to approximate the radius using more advanced techniques, but they are currently beyond us.)
Another thing we could consider is the situation where h is very small. Then the part of the sphere between the planes looks very much like the frustum of a cone, and we know how to find the (surface) area of such a shape – see Cones.
If we recall our answer from that problem, we find the formulae for the surface area
π(R+r)s=π(R+r)hcosθ=π(R2−r2)sinθ.
Here, R is the radius of the base of the frustum, r is the radius of the top, h is the perpendicular height, s is the slant length and θ is the angle the slant makes with the vertical.
Step-by-step explanation:
Answer: no
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
Plz explain how to do this!!!
Answer:
Step-by-step explanation:
You are trying to find the value of K, so to do that you need to get k by itself (example : K= 3-5 instead of K+5= 3)
So in 1a i would simplify 7k-3k= 4k
then 4k=11
now to get rid of the 4 and get the k alone- you DIVIDE 4k by 4 and divide 11 by 4 cause you need to do it on both sides of the equation, it should look like this.
4k= 11
- = -
4 4
(4k over 4 and 11 over four)
so the answer is k = 2.75 cause 11/4 = 2.75
Lawrence wants to drive from Durban to Johannesburg 550km. If he travels at an average speed of 100km/hr, how long does he tale to get there?
Answer:
5.5hr
Step-by-step explanation:
Distance=550Km
Speed=100Km/hr
Speed=(Distance/Time)
Time=(Distance/Speed)
Time=550/100=5.5hr
Dominic has 1 1/2 cups of yogurt to make smoothies. Each smoothie uses cup
1 1/2 of
yogurt. How many smoothies can Dominic make with the yogurt?
Answer:
Dominic can only make one smoothie considering he only has one full cup of yogurt.
Step-by-step explanation:
1.5(yogurt he has)-1.0(yougurt needed)=.5(leftover yogurt)
5(2x+1)=50
how do i find x
Answer: 4.5
Step-by-step explanation:
[tex]5(2x+1)=50\\\\2x+1=10\\\\2x+9\\\\x=\boxed{4.5}[/tex]
Need answer asap, will give brainliest
Answer:
35
Step-by-step explanation:
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.
Kelly recorded the number of people who wore school shirts to the football game on Saturday. Of the 525 fans, 224 wore school shirts. If 840 people are expected to attend next Saturday, how many of them would Kelly expect to be wearing school shirts?
A)224
B)301
C)358
D)525
I need help solving this problem.
9514 1404 393
Answer:
8/7
Step-by-step explanation:
[tex]\displaystyle\left(\frac{g}{f}\right)(-2)=\frac{g(-2)}{f(-2)}=\frac{7(-2)-2}{-2(-2)^2+3(-2)}\\\\=\frac{-16}{-8-6}=\boxed{\frac{8}{7}}[/tex]
Answer:
the answer is 8/7
Step-by-step explanation:
:)))))
PLEASE HELP
Jolie manages an annual film festival in her town. Every year, one movie from every genre is chosen as a finalist to win best film. The following double bar graph represents the votes each film received by adults and children. Answer the following questions based on the data in this bar graph.
⦁ What percentage of children voted for the Action movie? Show your work. Round to the nearest percent if needed.
⦁ Which movie received 20% of the total votes? Show your work.
Answer:
• 25%
• Drama movie
Step-by-step explanation:
• Total number of children
= 16 +12 +18 +20 +14
= 80
Percentage of children that voted for action movie
[tex] = \frac{no. \: of \: children \: that \: voted \: for \: action \: movie}{total \: number \: of \: children} \times 100\%[/tex]
[tex] = \frac{20}{80} \times 100\%[/tex]
[tex] =\textbf{25\%}[/tex]
------------------------------------------------------------
• Total number of votes
= 30 +32 +36 +36 +26
= 160
20% of total votes
= 20% ×160
= 32 votes
Since Drama movie received 32 votes, it received 20% of the total votes.
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
Write 0.721 as a fraction. Show your work.
ASPP
Answer:
721/1000
Step-by-step explanation:
0.721/1 × 1000/1000=721/1000
Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test). For each statement, enter Correct if the argument is valid, or enter Incorrect if any part of the argument is flawed. Note: if the conclusion is true but the argument that led to it was wrong, you must enter Incorrect.
1. For all n>1, sin2(n)n2<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑sin2(n)n2 converges.
2. For all n>1, arctan(n)n3<π2n3, and the series π2∑1n3 converges, so by the Comparison Test, the series ∑arctan(n)n3 converges.
3. For all n>2, 1n2−5<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑1n2−5 converges.
4. For all n>2, n+1−−−−−√n>1n, and the series ∑1n diverges, so by the Comparison Test, the series ∑n+1−−−−−√n diverges.
5. For all n>2, nn3−2<2n2, and the series 2∑1n2 converges, so by the Comparison Test, the series ∑nn3−2 converges.
6. For all n>1, n2−n3<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑n2−n3
thric
b. The perimeter of a square room is 48m, how much square metre carpet is
required to cover it?
Answer:
144
Step-by-step explanation:
A square room has all sides the same length
the perimeter is the length of the sides (which are the same length) therefore dividing it by 4 to get the length of 1 side multiplied by itself will give us the area to be covered.
PLSS HELP ASAP! Only answer if you know pls I'm running out of points & no links to other sites or ill report you
Answer:
90-35=55
x=55
Step-by-step explanation:
Answer:
x = 55
Step-by-step explanation:
x and 35 must = 90 degrees because of the Angle Addition Postulate. So if you subtract 90 and 35, you get x.
The circumference of a circle is 125.6 inches. What is the circle's radius?
Help pls!
Answer:
i believe the answer is 19.99 inches
Courtney bought 2 quarts of milk, 4 quarts of orange juice, and 2 quarts of apple juice. How many gallons of liquid did she buy?
The number of gallons of liquid that Courtney bought is 2 gallons.
What are Measurements?Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object.
Given that,
Amount of milk bought = 2 quarts
Amount of orange juice bought = 4 quarts
Amount of apple juice bought = 2 quarts
Total amount of liquid bought = 2 + 4 + 2 = 8 quarts
We have the conversion,
1 quart of liquid = 0.25 gallon of liquid
Total amount of liquid bought in gallons = 8 × 0.25 = 2 gallons
Hence the total amount of liquid bought is 8 gallons.
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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.