Answer:
89 degrees
Step-by-step explanation:
What value does point P represent on the number line given?
–3.9
–3.1
–2.9
–0.3
Number line ranging from negative five to five, with the point P labeled between negative two and three
Which description of the transformation of z on the complex plane gives the quotient of 2 = 8(COS(30°) + i sin(30°)) and w = 2(cos(5°) + i sin(5°))?
scale z by a factor of 2 and rotate it 5 degrees clockwise
scale z by a factor of 1 and rotate it 5 degrees clockwise
scale z by a factor of 2 and rotate it 5 degrees counterclockwise
scale z by a factor of 1 and rotate it 5 degrees counterclockwise
The description of the transformation of z on the complex plane gives the quotient is B. scale z by a factor of 1 and rotate it 5 degrees clockwise.
What is a quotient?It should be noted that a quotient simply means the number that obtained when division of numbers takes place.
In this case, the description of the transformation of z on the complex plane gives the quotient of 2 = 8cos30° + i sin30° and w = 2cos5° + i sin5° is to scale z by a factor of 1 and rotate it 5 degrees clockwise.
Learn more about quotient on:
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(19, 18)
(6, 16)
(19, 8)
Is this relation a function?
what is 2 1/4 as a fraction
Answer:2 and 1/4 is = 9/4
Step-by-step explanation:
what is the probability of spinning a spinner with 4 equal sections labeled 1, 2, 3, and 4 and landing on either 1 or 4
Answer:
the probability is 2 out of 4
Step-by-step explanation:
A box contains 5 red and 10 white marbles. If 8 marbles are to be chosen at random (without replacement), determine the probability that (a) 4 will be red, (b) all will be white, (c) at least one will be red.
Answer:
a) 0.0023
b) 0.007
c) 0.993
Step-by-step explanation:
The total number of marbles are;
5 + 10 = 15
Probability of red = 5/15
Probability of white = 8/15
Probability of 4 being red means, 4 will be white too;
Thus, the probability without replacement will be;
5/15 * 4/14 * 3/13 * 2/12 * 10/11 * 9/10 * 8/9 * 7/8 =
0.002331002331 which is approximately 0.0023
b. All white
Here, we have all the marbles selected being white
Thus the probability without replacement will be;
10/15 * 9/14 * 8/13 * 7/12 * 6/11 * 5/10 * 4/9 * 3/8
= 0.006993006993 which is approximately 0.007
c. At least one will be red
Mathematically, that will be;
1 - p(no red)
p(no red) = p(all white)
P(all white) = 0.007
hence P(no red) = 0.007
P(at least one red) = 1 - 0.007 = 0.993
Using the hypergeometric distribution, it is found that there is a:
a) 0.1632 = 16.32% probability that 4 will be red.
b) 0.0070 = 0.7% probability that all will be white.
c) 0.993 = 99.3% probability that at least one will be red.
The marbles are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
There are 15 marbles, hence [tex]N = 15[/tex]There are 5 red marbles, hence [tex]k = 5[/tex].There are 8 marbles chosen, hence [tex]n = 8[/tex]Item a:
This is P(X = 4), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,15,8,5) = \frac{C_{5,4}C_{10,4}}{C_{15,8}} = 0.1632[/tex]
0.1632 = 16.32% probability that 4 will be red.
Item b:
0 red, hence P(X = 0).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,15,8,5) = \frac{C_{5,0}C_{10,8}}{C_{15,8}} = 0.0070[/tex]
0.0070 = 0.7% probability that all will be white.
Item c:
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
From item b:
[tex]P(X \geq 1) = 1 - 0.007 = 0.993[/tex]
0.993 = 99.3% probability that at least one will be red.
A similar problem is given at https://brainly.com/question/24320200
EXPRESAR CADA UNO DE LOS VALORES NUTRICIONALES DE LA NARANJA COMO FRACCIÓN. cuál es el valor nutricional total de la naranja
Answer:
This question is incomplete. You need to specify each of the nutritional values of the orange which are the following:
Fat: 0.2 Carbohydrates: 21.6 Sugars: 17.2 Proteins: 1.7 Water: 159.6 Dietary Fiber: 4.4Step-by-step explanation:
With this information we know that the total traditional value of an orange is 204.7 grams.
To transform each of these values into a fraction, we must place the same figure without decimals in the numerator and divide by a multiple of 10, with as many zeros as decimals the figure had and then we take the figure to its minimum expression
Fat 0.2 = 2/10 = 1/5 Carbohydrates = 21.6 = 216/10 = 108/5 Sugars = 17.5 = 175/10 = 35/2 Proteins = 1.7 = 17/10 Water = 159.6 = 1596/10 = 798/5 Dietary fiber = 4.4 = 44/10 = 22/5
This brings us to the following total nutritional value of the orange:
Total Nutritional Value = 204.7 = 2047/10
What is the value of x in the equation 2(8%+4)-6+ 2%= 3(4%+3)+1
O 1
O 3
04.
O 6
Answer:
20 feet
Step-by-step explanation:
The speed of horse A is
The speed of horse B is
We define the speed as distance divided by time.
Given that the horses started the race at the same time (and assuming in the same position) we can write :
After 5 seconds for Horse A :
After 5 seconds, Horse A will have traveled 160 feet
After 5 seconds for Horse B :
After 5 seconds, Horse B will have traveled 140 feet
The difference between the distances :
is how much farther Horse A will have traveled.
After 5 seconds, The Horse A will have traveled 20 feet farther than the Horse B.
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Step-by-step explanation:
Solve
2x = -16
a.-8
b.8
c.1/8
d.-1/8
Answer:
A
Step-by-step explanation:
The correct answer will be A
Have a great day
I need to know if this is correct
i thinks its correct.
a) 5x/2+ 1 = 11
b) 2x/7- 3 = 2
The base of a triangle is 3 inches more than 2 times the height.If the area is 7 square inches, find the base and the height.
Answer: 6 inches
Step-by-step explanation:
Hope this helped
write y = -2x + 1 in standard form
Answer:
2 x + y = 1
Step-by-step explanation:
Answer:
y = 2x + 1
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
There is triangle ABC triangle XYZ is similar to ABC scale factor 1/4
Answer:
The side that is labeled as 7 is 28 the side that is labeled as 5 shoud be 20 the side that is labeled as 4 should be 16
Step-by-step explanation:
Sorry I cant take a screen shot with my computer but here is the explanation it says that the scale factor is 1/4 so I just did 1/4 ÷ 7,5,and 4
Simplify your answer and keep improper, if necessary
8
7
⋅
4
1
Answer:
Кинокомпания «Русское» создана в 2007 году продюсером Ириной Смирновой. В числе самых известных проектов ... 8 7 .
Step-by-step explanation:
Answer:
3567
Step-by-step explanation:
87*41= 3567
Gabrielle found a recipe for soup that uses 5/6 cup of milk. If she uses half the recipe how many cups of milk should she use ?
Answer:
5/12 cups of milk.
Step-by-step explanation:
I may have misunderstood the question, but the answer is fairly simple. Let me know if I got it right. Hope I could help :)
3x-1/4y=-2 solve for y
Answer:
y= 1/4(2+3x)
Step-by-step explanation:
The solution of the expression for the value of y is y = 8 + 12x.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is 3x-1/4y=-2. The value of y will be calculated as below:-
3x-1/4y=-2
-(1/4)y = -2 - 3x
y = 4 ( 2 + 3x)
y = 8 + 12x
Therefore, the solution of the expression for the value of y is y = 8 + 12x.
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Given d=a and bcd=bca prove abc=dbc
Answer:
I'm dead that not even a question
The cost of a meal at a local restaurant last year was $7.50. This year the meal costs $9.00. What is the percent increase of the meal price from last year to this year?
Answer:
20%
Step-by-step explanation:
Price increase
= 9.00-7.50
=$1.50
Percentage increase
=1.50/7.50 ×100%
=20%
Simplify the expression.
9/16q3+9−
12q3
Answer:
haha lol
Step-by-step explanation:
David drove 172 miles in 4 hours. If he drove at a constant rate, how far did
he travel in one hour?
NEED HELPPPPPPPPPP !
Answer:
5
Step-by-step explanation:
trust me im the smartest guy in the world
The scale for a map to actual distance is 2 cm to 100 miles. The driving distance on the map between Los Angeles and Las Vegas is 4.5 cm. What is the actual distance in miles between Los Angeles and Las Vegas?
Answer:
225 miles
Step-by-step explanation:
We start by converting it into a fraction, then multiply by the quantity
[tex]\frac{100 miles}{2 cm} *4.5 cm =225 miles[/tex]
pls anwer quick, i need this before tomorrow
Answer:
a = 0.3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
(5.3a - 0.8) - (1.6 - 4.7a) = 2a - (a - 0.3)
Step 2: Solve for a
Distribute negative: 5.3a - 0.8 - 1.6 + 4.7a = 2a - a + 0.3Combine like terms: 10a - 2.4 = a + 0.3Subtract a on both sides: 9a - 2.4 = 0.3Add 2.4 on both sides: 9a = 2.7Divide 9 on both sides: a = 0.3Step 3: Check
Plug in a to verify it's a solution.
Substitute: (5.3(0.3) - 0.8) - (1.6 - 4.7(0.3)) = 2(0.3) - (0.3 - 0.3)Multiply: (1.59 - 0.8) - (1.6 - 1.41) = 0.6 - 0Subtract: 0.79 - 0.19 = 0.6Subtract: 0.6 = 0.6Here we see that 0.6 does indeed equal 0.6.
∴ a = 0.3 is a solution of the equation.
You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 5 years of the actual mean with a confidence level of 94%, how many citizens should be included in your sample? Assume that the standard deviation of the ages of all the citizens in this community is 22 years.
Answer:
The sample size is [tex]n = 68 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 5 \ years[/tex]
The standard deviation is [tex]\sigma = 22[/tex]
From the question we are told the confidence level is 94% , hence the level of significance is
[tex]\alpha = (100 - 94 ) \%[/tex]
=> [tex]\alpha = 0.06[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.881[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{1.881 } * 22 }{5} ] ^2[/tex]
=> [tex]n = 68 [/tex]
i need help finding x
Answer: x = 6
ΔABC is a isosceles triangle at A
=> m∠B = m∠C
=> 4x + 56 = 80
⇔ 4x = 80 - 56 = 24
⇔ x = 24/4 = 6
Step-by-step explanation:
Please look at the picture;;
I thought it was Y=7x-48 and I’m not sure what to do
9514 1404 393
Answer:
y = 7x -48
Step-by-step explanation:
Your answer is correct. You just need to write it in the box without the "y =".
__
The 2-point form of the equation for a line is ...
y = (y2 -y1)/(x2 -1x)(x -x1) +y1
y = (8 -(-6))/(8 -6)(x -6) +(-6)
y = 14/2(x -6) -6
y = 7x -42 -6
y = 7x -48
You probably want your answer to look like ...
[tex]y=\boxed{7x-48}[/tex]
Madeline solved this problem: A basketball player made 10 shots and scored 26 points. She made only two-point and three-point shots. How many of each type of shot did she make? Complete the statement about Madeline’s solution. Math item stem image CLEARCHECK In Madeline's solution, 6 is the number of -point shots and 4 is the number of -point shots.
Answer:
six is 3 pointers 4 is the 2 pointers
Step-by-step explanation:
would correct answer be c
Answer:
No, A
Step-by-step explanation:
Relfexive property refers to a mirror. It is a same side or angle shared by two figures.
A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a one-hour flight is .02. a) What is the probability that both will fail?b) Neither will fail?c) One or the other will fail? Show all steps carefully.
Answer:
a) 0.0004
b) 0.9604
c) 0.02
Step-by-step explanation:
When trying to find the probability of a sequence occurring you would simply need to multiply the probability of both of those things occurring together. Since the probability of an alternator failing is 0.02 then the probability of both failing would be...
0.02 * 0.02 = 0.0004
Now the probability of an alternator not failing is 0.98 (100% or 1 minus 0.02) therefore, the probability of both failing would be...
0.98 * 0.98 = 0.9604
Finally, the probability of one or the other failing would simply be the same as the probability of a single alternator failing which is 0.02
