The given coordinates to polar forms are:
[tex]\sqrt{5}[/tex]1.107How to find the polar formIn order to calculate it to polar forms we would have
We have these equations
r² = x² + y²
tanθ = y/x
From here we would have
r² = (-1)² + (-2)
r² = 1 + 4
r = √5
We have tanθ = -2 / -1
= we have θ = tan⁻¹(2)
= 1.107
Read more on polar forms here:
https://brainly.com/question/9363127
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Suppose you log on to an online chess website and are randomly assigned a match against an opponent.
Suppose at any time on the site, 30% of opponents are rated ovice", 55% are rated mid", and 15% are
rated high". In a chess match, a player can either win, lose, or draw. Suppose that you win 75% and
draw 10% of matches against novice rated opponents, you win 50% and draw 20% of matches against
mid rated opponents, and you win 10% and draw 25% of matches against high rated opponents.
(a) For a randomly assigned match, what is the probability that you play someone ranked high and
lose?
(b) For a randomly assigned match, what is the probability that you win?
(c) You play a match and win. What is the probability that you played a high rated opponent?
Answer:
a) 0.1125 = 11.25% probability that you play someone ranked high and lose.
b) 0.5435 = 54.35% probability that you win
c) 0.0690 = 6.90% probability that you played a high rated opponent
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
(a) For a randomly assigned match, what is the probability that you play someone ranked high and lose?
15% probability that you play someone that is ranked high.
If you play someone ranked high, 100 - 25 = 75% probability you lose
0.15*0.75 = 0.1125
0.1125 = 11.25% probability that you play someone ranked high and lose.
(b) For a randomly assigned match, what is the probability that you win?
75% of 30%(novice oponent)
50% of 55%(mid oponent)
25% of 15%(high opponent). So
[tex]p = 0.77*0.3 + 0.5*0.55 + 0.25*0.15 = 0.5435[/tex]
0.5435 = 54.35% probability that you win
(c) You play a match and win. What is the probability that you played a high rated opponent?
Here, we use the conditional probability formula.
Event A: Winning
Event B: Playing a high opponent.
0.5435 = 54.35% probability that you win
This means that [tex]P(A) = 0.5435[/tex]
Intersection of events A and B:
25% of 15%(high opponent). So
[tex]P(A \cap B) = 0.25*0.15 = 0.0375[/tex]
Question:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0375}{0.5435} = 0.0690[/tex]
0.0690 = 6.90% probability that you played a high rated opponent
equations with variables on both sides that make the answer x=8
Answer:
x/4 = x-6
Step-by-step explanation:
x/4 = x-6 makes x = 8
Hope this helps!!!
please help me with geometry question :)
Given:
The graph of a triangle ABC.
A line is parallel to AC and passes through the point D.
To find:
The point at which the intersection of this parallel line be with the line BC.
Solution:
From the given figure it is clear that A(1,7), B(9,7), C(9,1) and D(5,7).
Slope of AC is
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\dfrac{1-7}{9-1}[/tex]
[tex]Slope=\dfrac{-6}{8}[/tex]
[tex]Slope=\dfrac{-3}{4}[/tex]
Slope of parallel lines are same. So, the slope of parallel line is also [tex]-\dfrac{3}{4}[/tex].
The parallel line passes through D(5,7) with slope [tex]-\dfrac{3}{4}[/tex]. So, the equation of the line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-7=-\dfrac{3}{4}(x-5)[/tex]
[tex]y=-\dfrac{3}{4}(x)+\dfrac{15}{4}+7[/tex]
[tex]y=-\dfrac{3}{4}(x)+\dfrac{28+15}{4}[/tex]
[tex]y=-\dfrac{3}{4}(x)+\dfrac{43}{4}[/tex] ...(i)
From the given graph it is clear that the line BC is a vertical line. So, the x-coordinates of all the points lie on BC are the same, i.e., 9.
Putting x=9, we get
[tex]y=-\dfrac{3}{4}(9)+\dfrac{43}{4}[/tex]
[tex]y=\dfrac{-27}{4}+\dfrac{43}{4}[/tex]
[tex]y=\dfrac{16}{4}[/tex]
[tex]y=4[/tex]
Therefore, the point at which the intersection of this parallel line be with the line BC is (9,4).
234.2 in expanded form
Answer:
Expanded Notation Form:
234.2
=
200
+
30
+
4
+
0.2
Expanded Factors Form:
234.2
=
2 ×
100
+
3 ×
10
+
4 ×
1
+
2 ×
0.1
Expanded Exponential Form:
234.2 =
2 × 102
+
3 × 101
+
4 × 100
+
2 × 10-1
Word Form:
234.2 =
two hundred thirty-four and two tenths
Can a quadrilateral be both a rectangle and a rhombus
Answer:
no, a rectangle must have 4 right angles and opposite sides are congruent
a rhombus must not have right angles and all sides are congruent
Step-by-step explanation:
Answer:
no
Step-by-step explanation: no it cant since a rhombus has 4 equal sides while a rectangle has 2 sets of equal sides.
-35 = -3x + 8 + 5x
Can someone please help me with this math problem
Answer:
22.5 i think
Step-by-step explanation:
-3x + 8 + 5x = - 35
add like terms
2x + 8 = -35
subtract 8 on both sides
2x = 43
divide by 2
22.5
Answer:
22.5
Step-by-step explanation:
add subtract and multiply on a algebra calcutalor aka mathpapa dowload it and it should help
il find the distance bin the orgin
and the lone x = 4x-34=10
Answer:
11 units from the origin
Step-by-step explanation:
When graphing the line 4x-34=10, it intersects the x-axis 11 units from the origin.
Find x, please don't put random answers for points
Answer:
The answer will be x=6.07 I believe
Step-by-step explanation:
I hope this Helped
Answer:
[tex]2\sqrt{13}[/tex]
Step-by-step explanation:
Since the 0CA and ACL are equal, we know that OA equals AL.
Using the Pythagorean Theorem, 10^2-6^2=100-36=64.
Under square root 64 is equal to 8, so OL is equal to 8.
Since OA is equal to AL, AL=6.
Again, using the Pythagorean Theorem, 6^2+4^2=36+16=52.
Under square root 52 simplifies to [tex]2\sqrt{13}[/tex]
Hope I helped!
Abosolute value of -5
what is the rate of markup applied for a cellphone sold for 15,000 with an original price 13,000?
need help po
MATH
Answer:
2000 profit
Step-by-step explanation:
15000 - 13000 is 200 I may be wrong I didn't understand the question
1. Given A = {1,2,3,4}, B ={1,2,4,5), C={3,4,6}, D= {7,8}. U={1,2,3,4,5,6,7,8,9}
What is A UB? Bn C? CD? A'? (A U B)
Answer:
Step-by-step explanation:
A∪B = {1,2,3,4,5}
B∩C = {4}
I don't know what CD means.
A' = {5,6,7,8,9}
Evaluate the expression.
−
2.2
⋅
(
−
2
)
÷
(
−
1
4
)
⋅
5
−2.2⋅(−2)÷(−
4
1
)⋅5
um is this all one equation?
like -2.2×(-2)÷(-14)×5-2.2×(-2)÷(-41)×5?
3y-4=6-2y
How do I solve this
Answer:
solve the 3y and 2y first
Step-by-step explanation:
Answer:
y = 2.
Step-by-step explanation:
We need to have y terms on one side of the equation and numbers on the other side:-
3y - 4 = 6 - 2y
Add 2y to both sides:
3y + 2y - 4 = 6 - 2y + 2y
5y - 4 = 6
Add 4 to both sides:
5y - 4 + 4 = 6 + 4
5y = 10
y = 10/5
y = 2.
1. lara but a dress that originally cost 575 with 20% discount how much did lara pay for the dress
2. a salesman sells a car for 860,000 if you receives a commission of 15% how much will be his commission
Answer:
( $ 120 )
Step-by-step explanation:
cause
p they original price given
p - 2p = 96
8 p = 96
p = 120
sana makatulong carry on
the relationship between two variables a and b is proportional. when a is 3 b is 25.5. write an equation to represent this relation
The answer is y = 8.5x
explanation is in the picture.
hope it helps.
Answer:
y= 8.5x
Step-by-step explanation:
Find the perimeter of a square with side lengths of 3x + 1. Use the distributive property to write an expression.
Work out the length of EF
Answer:
EF=2 cm
Step-by-step explanation:
Answer:
EF = 2 cm
Step-by-step explanation:
HK = HG + GK
10 = 4 + GK
GK = 10 - 4
GK = 6 cm
or
KG = 6cm
[tex] \triangle EGH \cong\triangle KGF... (given) [/tex]
[tex]\because EG\cong KG.. (cpct) [/tex]
[tex]\therefore EG = 6 cm [/tex]
[tex]\because FG\cong HG.. (cpct) [/tex]
[tex]\therefore FG = 4 cm [/tex]
EF = EG - FG (E-F-G)
EF = 6 - 4
EF = 2 cm
please solve and receive brain list
Answer:
26 = -28 - 12
Step-by-step explanation:
1. 12 x 1 - 12 x 3x
2. 8x - 36
Answer:
x = 1
Step-by-step explanation:
6x + 26 = 8x - 12(1 - 3x)
6x + 26 = 8x - 12 + 36x
6x + 26 = -12 + 44x
-6 + 6x + 26 = -12 + 44x - 6
26 = -12 + 38x
12 + 26 = -12 + 12 + 38x
38 = 38x
38/38 = 38x/38
1 = x
a shopkeeper had purchased 400 products for $40 each the goods did not sell due to quality issues he sold them to a scrap dealer for $6500 what is the profit/loss that he made in the transaction
Answer:
6500-40=6460
Step-by-step explanation:
The ratio of the length to the width of a map is 5 to 2. The map is exactly 15 inches in length. What is the width of the map? A. 6 inches B. 7 inches C. 10 inches D. 12 inches
Complete the missing parts of the table for the following function. y = 6 x -2 -1 0 1 0 1 2 3 1 y [ ] 6 36 36 1?
Answer:
Under -1 it will be 1/6
Under zero it would be 1
under 3 it would be 216
Explanation:
y = 6 to the power of x
What is 2/3 divided by 5
Answer: Hey here’s your answer: 2/3 divided by 5=2/15
Hth
Step-by-step explanation:
Answer:
2/15 is ur answer
Step-by-step explanation:
2/3 ÷ 5
2/3 x 1/5
2/15
what is the number 10^2×10^5 in ordinary language
I'm guessing ordinary language means not in scientific method and in words. So...
First we combine the exponent because they are multiplied with the same base getting...
10^2+5=10^7
Now we can convert this into everyday numbers...
10,000,000
Or...
10 million
Since I do not know what ordinary language means to your teacher, just choose the answer that is the one your teacher wants! If you have any more questions about this just ask in the comments.
The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period. a. Which form of the null and alternative hypotheses most appropriate for this situation
The question is incomplete. The complete question is :
The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 24 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period.
a. Which form of the null and alternative hypotheses most appropriate for this situation.
[tex]$H_0$[/tex]: is (greater than or equal to 24/greater than 24/less than or equal to 24/less than 24/equal to 24/not equal to 24)
[tex]$H_a$[/tex]: is (greater than or equal to 24/greater than 24/less than or equal to 24/less than 24/equal to 24/not equal to 24)
Solution :
It is given that the current mean sales volume in one month is 24 automobiles. The automobile dealership manager wants to conducts research study to check the increase in the sales volume due to the launch of a new bonus plan. So to collect the data on plan, sample of the sales personnel is allowed to sell for one month period only according to the new bonus plan.
Therefore the null hypothesis and the alternate hypothesis that most appropriates the situation is :
[tex]$H_0 \leq 24$[/tex][tex]$H_a > 24$[/tex]Find the volume of a rectangular prism with dimensions 21 in. by 20 in. by 19 in., to the nearest hundredth cubic foot
Answer:
The dimensions of a rectangular prism are 21 in. by 20 in. by 19 in.
To find:
The volume of the rectangular prism.
Solution:
Let the length, breadth and height are 21 in, 20 in and 19 in respectively.
Volume of the rectangular prism is
[tex]V=Length\times Breadth\times Height[/tex]
[tex]V=21\times 20\times 19[/tex]
[tex]V=7980[/tex]
Therefore, the volume of the rectangular prism is 7980 cubic inches.
If gasoline costs $3.28 per gallon, how much would 15.5 gallons cost?
Answer:
$50.84
Step-by-step explanation:
By multiplying $3.28 × 15.5 = $50.84
What is the equivalent measure of 2.8 grams in hectograms?
Answer:
0.028 hectograms
Step-by-step explanation:
1 gram = 0.01 hectograms
15% of the students in the library have brown eyes. If there are 9 students with brown eyes, How many students are in the library
Answer:
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
ENGLISH
If you Multiply 9x100 you get 900 then you divide 15 divided by 900 is 60
SPANISH
Si multiplica 9x100 obtiene 900, entonces divide 15 dividido por 900 es 60
Hope this will help you
1. ¿Con cuál de las siguientes opciones se
obtiene la siguiente cantidad: $ 18.90?
a) 1 moneda de $ 10, 2 monedas de $ 1,
10 monedas de 50 y 1 moneda de
20
b) 3 monedas de $5, 5 monedas de 50 €
y 2 monedas de 20 €.
c) 1 monedas de $ 10, 5 monedas de 50
¢ y 2 monedas de 20 ¢.
d) 3 monedas de $5, 7 monedas de 50 ¢
y 2 monedas de 20 ¢.
Answer:
gkcmh .dfjdjhdjkjihndbdndndfp
Concept Bank a) central tendency d) event g) population j) random experiment m) sample mean p) sample space b) continuous random variable e) measures of spread h) probability k) range n) sample median q) standard deviation c) discrete random variable f) outlier i) variability l) sample o) sample mode r) statistical inference ____ The practically infinite number of possible values that a random variable can take on in an experiment ____ The process of observing the outcome of a random chance event ____ The number that quantifies the likelihood that a certain random event will happen ____ All possible outcomes that can result from a random experiment ____ This exist when successive observations of a particular system vari
Answer:
Continuous random variable - The practically infinite number of possible values that a random variable can take on in an experiment
Random experiment - The process of observing the outcome of a random chance event
Probability - The number that quantifies the likelihood that a certain random event will happen
Sample space - All possible outcomes that can result from a random experiment
Variability - This exist when successive observations of a particular system variable or phenomenon do not produce the exact same result.
Statistical inference - The use of information from a sample to draw conclusions about the population
Sample mean - The most commonly used measure of central tendency of a distribution of data
Event - A subset of the sample space
Standard deviation - A measure of the extent to which the values in the data set differ from the mean
Outlier - An observation point that is distant from other observation.