The central angle of mobile phones section in February be 91°
Given,
The total number of electronic devices sold by a shop in January = 900
According to pie chart
900 implies 360°. Therefore, 900/360 = 2.5
Now lets check the number of devices sold in January:
Desktop = 60° ⇒ 60 × 2.5 = 150
Laptop = 146° ⇒ 146 × 2.5 = 365
Tablet = 84° ⇒ 84 × 2.5 = 210
Mobile = 70° ⇒ 70 × 2.5 = 175
Its given that in February, all other numbers are same except Mobile phones.
40% more mobile phones are sold in February than in January.
So, number of mobile phones sold in February = 175 × (140/100) = 245
Now lets calculate the total number of devices sold in February:
900 - 175 = 725
725 + 245 = 970
970 devices sold in February.
According to pie chart:
970 implies 360 = 970/360 = 2.69
Now lets check the degree in pie chart for each devices,
Desktop = 150 ⇒ 150/2.69 = 55.7°
Laptop = 365 ⇒ 365/2.69 = 135.5°
Tablet = 210 ⇒ 210/2.69 = 78°
Mobile = 245 ⇒ 245/2.69 = 91°
That is, the central angle of mobile phones section in February be 91°
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add 45.071 + 2.95 =
Answer:
45.071+2.95= 48.021
Step-by-step explanation:
That's the answer
Answer:
48.021
Step-by-step explanation:
ella bought 2.7 yards of fabric for $3 per yard how much did she spend
Answer:
$8.10
Step-by-step explanation:
You can just multiply how many yards she bought by the price per yard.
3×2.7=
$8.10
She spent 8 dollars and 10 cents.
Rewrite, using the distributive
property.
16b-8b = ([?]-8)b = [?]b
Answer:
8b
Step-by-step explanation:
You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:
\(\displaystyle{16b-8b=\left(16-8\right)b}\)
Then evaluate and simplify:
\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)
∠A and \angle B∠B are vertical angles. If m\angle A=(2x-10)^{\circ}∠A=(2x−10) ∘ and m\angle B=(x+8)^{\circ}∠B=(x+8) ∘ , then find the measure of \angle A∠A.
Answer:
m∠B=52
∘
Step-by-step explanation:
Two or more angles are said to be complementary if they sum up to 90 degrees.
Given that angles A and B are complementary, then:
\begin{gathered}\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}\end{gathered}
A researcher conducts a one-way ANOVA in which one independent variable has four levels.
(a) How many different groups are in this study?
(b) How many different factors are in this study?
The total number of groups in the study of one way ANOVA with the given condition of variable and levels is four different groups and number of different factors in one-way ANOVA is equal to one.
In a one-way ANOVA with one independent variable with four levels, there are four different groups in the study.
Each group represents a level of the independent variable.
There is only one factor in a one-way ANOVA.
The factor is the independent variable with the four levels, which is used to classify the groups in the study.
The factor is what the researcher is interested in studying.
And the ANOVA is used to determine if there are any statistically significant differences in the mean scores between the groups.
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A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?
the are the awnsers :
a:30 : 54
b:6 : 10
c:10 : 45
d:27 : 15
Answer:
a
Step-by-step explanation:
5 times 6 = 30
9 times 6 = 54
Answer:
was it correct the guy above me answers?
find the probability that a point chose a t random on the part of the number line shown will lie between points B and C. (anwser should be in a fraction or decimal)
The probability of point being in between B and C is 0.167
A probability definition is what?Probability is a statistic used to indicate the likelihood or potential that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.
What are examples and probability?The likelihood is based on the range of potential outcomes. the total number of possible outcomes. As an illustration, since there is only one way to get a head and a total of two possible results, the likelihood of flipping a coin and getting heads is one in two. a tail or a head.
Distance between B and C= 4 units
Total distance=24
Probability that point lie between B and C = 4/24 =1/6
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Martin takes a test that has five multiple choice questions. Each question has three possible
answers. If Martin guesses on each question, in how many different ways can he answer the
questions on the test?
Answer:
The answer is 243
Step-by-step explanation:
Since there are 3 answers for each question and a total of 5 questions, you could do 3*3*3*3*3 or 3^5. Both will equal 243. 243 is the amount of possible different combinations that exist in this problem.
Hope this helps!
Evaluate the function.
f(x) = -3.x2 - 6x +1
Find f(8)
Answer:
-50.82
Step-by-step explanation:
((0−3.82)−6×8)+1
(-3.82−6×8)+1
(-3.82−48)+1
-51.82+1
-50.82
What percent of 69 is 87?
Answer:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 69 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 69, so we can write it down as 100%=69.
4. We know, that x% equals 87 of the output value, so we can write it down as x%=87.
5. Now we have two simple equations:
1) 100%=69
2) x%=87
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=69/87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 87 is what percent of 69
100%/x%=69/87
(100/x)*x=(69/87)*x - we multiply both sides of the equation by x
100=0.79310344827586*x - we divide both sides of the equation by (0.79310344827586) to get x
100/0.79310344827586=x
126.08695652174=x
x=126.08695652174
now we have:
87 is 126.08695652174% of 69
Step-by-step explanation:
Hope it helps :)
Brainliest pls? Have a good day/night
Determine the equation of the circle with center (0,−6) containing the point (−\sqrt{28 },3)
I did not get Your Question Probably But the way I see it the answer is:
The equation of a circle with center (h, k) and radius r can be written as:
(x - h)^2 + (y - k)^2 = r^2
In this case, the center of the circle is (0, -6). To find the radius, we can use the distance formula between the center and the given point (-√28, 3):
r = √((x₂ - x₁)^2 + (y₂ - y₁)^2)
Plugging in the values:
r = √((-√28 - 0)^2 + (3 - (-6))^2)
Simplifying:
r = √(28 + 81)
r = √109
Therefore, the equation of the circle with center (0, -6) and containing the point (-√28, 3) is:
(x - 0)^2 + (y + 6)^2 = (√109)^2
Simplifying further:
x^2 + (y + 6)^2 = 109
Answer:
The equation of the circle with center (0, -6) containing the point (-√28, 3) is x^2 + (y + 6)^2 = 109.
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is given by the formula:
(x - h)^2 + (y - k)^2 = r^2
In this case, the center of the circle is (0, -6), which means that h = 0 and k = -6. We also know that the circle contains the point (-√28, 3), which means that this point is on the circle and satisfies the equation above.
To find the radius r, we can use the distance formula between the center of the circle and the given point:
r = sqrt((0 - (-√28))^2 + (-6 - 3)^2) = sqrt(28 + 81) = sqrt(109)
Substituting h, k, and r into the equation of the circle, we get:
x^2 + (y + 6)^2 = 109
Therefore, the equation of the circle is x^2 + (y + 6)^2 = 109.
A boat sails on a bearing of 73 degrees for 128 miles and then turns and sails 209 miles on a bearing of 190 degrees. Find the distance of the boat from its starting point.
Answer:
189.14 miles.
Step-by-step explanation:
This is a vector problem.
A boat sails on a bearing of 73°. This means it is going north, forming a 90° triangle.
The sum of angles in a triangle = 180°
We need to find the third angle.
180° = 90° + 73° + x°
x° = 180° - (90 + 73) °
x = 180° - 163°
x = 17°
The boat then turns and sails 209 miles on a bearing of 190 degrees.
Since it is sailing 190°, it is sailing more than 180°
= 190° - 180° = 10°
This would lead to the formation of another triangle let us call it ABC
Hence, we would have:
90° - ( 10 + 17)°
90° - 27° = 63°
To find the distance of the boat, we would use Cosine rule.
a² = b² + c² - 2bc × Cos A
a = √(b² + c² - 2bc × Cos A
b = 128 miles
c = 209 miles
A = 63°
a = √(128² + 209² -2 × 128 × 209 × Cos 63°)
a = 189.14199miles
Approximately 189.14 miles.
Therefore, the distance of the boat from it's starting point is 189.14 miles.
At Mr. Hynd's ranch, there are 35 chickens and 20 cows. What is the ratio of the number of cows to the
number of chickens at Mr. Hynd's ranch?
A 4/7
B 11/4
C 4/11
D 7/4
The length of the side of the cube is 5x units, what is the volume of the cube?
Answer:
The side length of the cube is 5 cm. Then the volume is simply 5\times 5\times5 = 125
LxWxH
The volume of a cube is the cube of the length of the side of the cube. The volume of the cube whose side length is 5x units is 125x³ units³.
What is the volume of a cube?The volume of a cube is the cube of the length of the side of the cube. Therefore, the formula can be written as,
The Volume of the cube = a³
Given the length of the side of the cube is 5x units. Therefore, the volume of the cube will be,
Volume of the cube = a³ = (5x)³ = 125x³ units³
Hence, the volume of the cube whose side length is 5x units is 125x³ units³.
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which equation can be used to find t the total price of the feed?
Answer:
t=p(unit pf weight)
Step-by-step explanation:
t=plbs
total price is the price time the lbs of feed
(unit of weight may change) depending on question
What is the difference between a reasonable and unreasonable time algorithm?
Reasonable algorithms expand at polynomial rates or less quickly. Unreasonable algorithms expand exponentially. Even for relatively small problem sizes, the time to solve an unreasonable algorithm increases very quickly.
What is Unreasonable time algorithms?When the algorithm takes an excessively long time, we say that the number of steps is an exponential function of the size of the input (or some other function that is larger than any polynomial). Simply increasing the input size (n) by 1 doubles the number of steps for an algorithm that runs in 2n time.
Depending on the polynomial, polynomial time can be further decomposed. Algorithms with a runtime of approximately n2 operate in quadratic time. (If the input size is doubled, the number of steps is quadrupled.) In practise, polynomial time algorithms that take longer than cubic (n³) time are uncommon.
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32. At 8 AM, the temperature was 3°F below zero. By 1pm, the temperature rose
14F and by 10 PM, dropped 12. Plot points and draw arrows on the number
line below to model this situation.
What was the temperature at 10 PM? Explain how the number line helped you
find your answer.
Answer: - 1°F
Step-by-step explanation:
Given that:
At 8a.m:
Temperature = 3°F below 0
By 1p.m ; Temperature rose by 14F ;
By 10pm ; temperature dropped by 12F
Temperature at 10 pm:
3°F below 0 = - 3°F
Temperature at 1pm: temperature increased by 14°F
-3°F + 14°F = 11°F
Temperature at 10pm: temperature dropped by 12°F
11°F - 12 = - 1°F
um i dont know how to do this so like help
I need help with question 5, I need an answer pls
5a. A function to show p, the number of parrots t years after 2010 is \(P(t) = 515(1.54)^t\\\\\).
5b. The number of parrots that is expected to be there in 2016 is 6,870 parrots.
How to create a function that can be used to find the number of parrots t years after 2010?In Mathematics and Statistics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:
\(P(t) = I(1 + r)^t\\\\\)
Where:
P(t) represents the population.t represents the time or number of years.I represents the initial value of the population.r represents the decay rate.Part a.
By substituting the given parameters into the formula, an exponential function to show p, the number of parrots t years after 2010 is given by;
\(P(t) = I(1 + r)^t\\\\\)
4418= 515(1 + r)⁵
(1 + r)⁵ = 4418/515
(1 + r)⁵ = 8.5786407766990
1 + r = 1.54
Therefore, the required exponential function to show p is given by;
\(P(t) = 515(1.54)^t\\\\\)
Part b.
When t = 6 years, the number of parrots can be calculated as follows;
\(P(6) = 515(1.54)^6\)
P(6) = 6,869.60 ≈ 6,870 parrots.
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Determine if the given lines are parallel, perpendicular or neither. line a: 6x - 12y = -24 line b: 3y = 2x + 18
Answer: n = 1/2; m = 2/3
Step-by-step explanation:
A ⇒ 12 y = 6x + 24
\(y=\frac{n}{2}+2\)
\(n=\frac{1}{2}\)
B ⇒ 3y = 2x + 18
\(y=\frac{2}{3}n+6\)
\(m=\frac{2}{3}\)
∴ Lines are neither because slop diff.
Social media is popular around the world. Statista provides estimate of the number of social media users in various countries in 2017 as well as the projections for 2022. Assume that the results for surveys in the United Kingdom, China, Russia, and the United States are as follows. Excel File: data 12-23.xlsx Country Use Social United United Media Kingdom China Russia States Yes 480 215 343 640 No 320 285 357 360 a. Conduct a hypothesis test to determine whether the proportion of adults using social media is equal for all four countries. Using a 0.05 level of significance. 1. H. : P1 + P2 = P3 = P4 2. H. : P1 = P2 = P3 = P4 3. H. : P1 + P2 = P3 + P4 Choos correct answer from above choice 2 + Ha: Not all population proportions are equal What is the p-value?
Based on the given data, we can calculate the sample proportions of adults using social media for each country as follows:
United Kingdom: p1 = 480/(480+320) = 0.6
China: p2 = 215/(215+285) = 0.43
Russia: p3 = 343/(343+357) = 0.49
United States: p4 = 640/(640+360) = 0.64
To test whether the proportion of adults using social media is equal for all four countries, we can use a chi-squared test of independence with the null hypothesis:
H0: P1 = P2 = P3 = P4
And the alternative hypothesis:
Ha: Not all population proportions are equal
We can calculate the expected frequencies for each cell assuming the null hypothesis is true, and use these to calculate the chi-squared test statistic:
Expected frequency for Yes-UK = (480+320) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 400
Expected frequency for No-UK = (320+480) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 400
Expected frequency for Yes-China = (215+285) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 320
Expected frequency for No-China = (285+215) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 320
Expected frequency for Yes-Russia = (343+357) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 350
Expected frequency for No-Russia = (357+343) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 350
Expected frequency for Yes-US = (640+360) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 500
Expected frequency for No-US = (360+640) * (480+215+343+640) / (480+215+343+640+320+285+357+360) = 500
Using these expected frequencies and the observed frequencies, we can calculate the chi-squared test statistic:
chi2 = sum((observed - expected)^2 / expected) = (480-400)^2/400 + (320-400)^2/400 + (215-320)^2/320 + (285-320)^2/320 + (343-350)^2/350 + (357-350)^2/350 + (640-500)^2/500 + (360-500)^2/500 = 33.49
The degrees of freedom for this test are df = (r-1)(c-1) = (2-1)(4-1) = 3, where r is the number of rows (2 for Yes/No) and c is the number of columns (4 for the countries).
We can then use a chi-squared distribution with 3 degrees of freedom to calculate the p-value for the test:
p-value = P(Chi2 > 33.49) = 0.00000031 (using a chi-squared calculator)
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If 2x = 3y + 11 and 2 to the power of x = 2 to the power of 4(y+1), determine the value of x + y
Z = -2
Y = 5
is your answer
Which of the following graphs represents the equation y-2 = 3(x - 1)?
Answer:
Graph B
Step-by-step explanation:
The vertical intercept I am getting is (0,-1) and B is the only one with that point. Therefore, it should be B.
.jjkjjjhygybhnjuikjuhyb
Answer:
okay...
Step-by-step explanation:
which two parts of the vehicle are most important in preventing traction loss
The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.
The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.
Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.
Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.
The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.
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(1 point) to avoid collisions with invasive species of aliens, new imperial regulations allow only positive integer space jumps parallel to the three space axes defined in the jedi council's booklet of rules and regulations. how many ways can the millenium falcon travel from earth with coordinates (4,1,0) to the wookiee smugglers trading place at (11,4,3)?
The total number of ways to travel from Earth (4,1,0) to the Wookiee Smugglers' Trading Place (11,4,3) is 18
The Millennium Falcon can travel from Earth (4,1,0) to the Wookiee Smugglers' Trading Place (11,4,3) in a total of 18 different ways. The number of ways to travel can be determined using the concept of a combination with repetitions.
The formula for combinations with repetitions is (n+k-1)!/((n-1)!*k!). For this problem, we have n = 3 and k = 8, where n is the number of dimensions of space, and k is the total distance traveled along each axis. Therefore, the total number of ways to travel is (3+8-1)!/((3-1)!*8!) = 18.
The 18 different paths are determined by the combination of the 8 steps taken along each of the three axes, with each step being either positive or negative. Therefore, each path can be written as a 3-tuple (a,b,c) where a,b, and c are the total number of positive and negative steps taken along each of the three axes.
For example, one of the paths from (4,1,0) to (11,4,3) is (5,5,5), meaning that the Millennium Falcon would travel 5 positive steps along the x-axis, 5 positive steps along the y-axis, and 5 positive steps along the z-axis.
In conclusion, the total number of ways to travel from Earth (4,1,0) to the Wookiee Smugglers' Trading Place (11,4,3) is 18, determined using the concept of combinations with repetitions.
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Can someone please graph this? I'll give brainliest!
Answer:
Add cheese to the Mac and you’ll be igh
Step-by-step explanation:
Using the following diagram, determine the values of x, y, and z.
State the solution in simplest radical form or x equals a √b, y = c to the square root d, and z equals e to the square root of f, where a, c, and E are coefficients and become a d, and F are radicants. use NA when necessary
The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.
How to evaluate the values of x, y, and z for the triangleThe perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.
√15/(y + 2) = y/√15 {opposite/adjacent}
y(y + 2) = (√15)² {cross multiplication}
y² + 2y = 15
y² + 2y - 15 = 0
by factorization;
(y - 3)(y + 5) = 0
y = 3 or y = -5
by Pythagoras rule:
(√15)² = x² + y²
15 = x² + 3²
x = √(15 - 9)
x = √6
z² = (√6)² + 2²
z = √(6 + 4)
z = √10
Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.
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Can someone help me ASAP it’s due tomorrow. I will give brainliest if it’s all done correctly. Show work.
127 is the answer
there are 5 even number of card in deck of card i.e 2,4,6,8,10. there are 4 acrds in each number of single number card.ie. spade,club,heart,diamond.
there is total number of card is 52.
and the trials goes on 330 times so.
the procedure is 5×4÷52×330= 126.9 which means 127 even cards.
Triangles 1 and 2 are similar. What ratio relates a side length of triangle 1 to the corresponding side length of triangle 2? Fill in thebox to complete the ratio.25.528022.562A8BTriangle 1Triangle 2to 12
If triangles 1 and 2 are similar then ratio of two sides is 25:52
A triangle is a polygon with edges and three terminals. It belongs to the basic geometric shapes. A triangle containing the angles A, B, and C is referred to by the term ABC.
Any three Euclidean points that are not collinear result in a triangle and a rectangle. In other words, any triangle is exclusively covered by that plane and is contained within that plane.
We know that any two triangles are similar by three axioms:
SSS , AAS , SAS or AAA axiom of similarity.
In the Euclidean plane, every triangle is contained within a single plane, but in higher-dimensional Euclidean spaces, this is no longer the case. This article addresses triangles in terms of geometry, more specifically the Euclidean plane, unless otherwise stated.
ratio of the sides of two triangle are in same ration when the triangles are similar
Now given ratio is 25:52, hence the ratio of the sides will be same.
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