Explanation:
We have three numbers that aren't even, and they are {1,3,5}
There are three numbers that are even, and they are {2,4,6}
The odds in favor of not getting an even number is 3:3 = 1:1
To list the odds in favor, you write the number of ways to get what you want, followed by a colon, then the number of ways to get what you don't want. In this case, both counts are 3. The ratio 3:3 reduces to 1:1 after dividing both parts by 3.
Answer:
1:1
Step-by-step explanation:
how many odd sections are even: 3
how many sections are not even: 3
the odds are 3 : 3= 1:1
odds are what you expect to come out versus what you don't expect(favorable to un favorable).
confusion comes in when talking about probability
probability is what you want to come out versus the total chances whether odd or even(favorable to total outcomes). eg
in this example
the probability of it not landing on the even number is:
number of odd sections= 3 = 1:2
number of total outcomes= 6
An architect designs two similar triangular patios. The first patio has angle measures of (x + 10)°, (y + 15)°, and 70°. The second patio has angle measures of (x + 20)°, 50°, and 60°. Find the values of x and y.
Given:
An architect designs two similar triangular patios.
The first patio has angle measures of (x + 10)°, (y + 15)°, and 70°.
The second patio has angle measures of (x + 20)°, 50°, and 60°.
To find:
The values of x and y.
Solution:
We know that, corresponding angles of similar triangles are equal. So, the value of (x + 20)° must be 70°.
[tex]x+20=70[/tex]
[tex]x=70-20[/tex]
[tex]x=50[/tex]
The value of x is 50.
Now,
[tex](x+10)^\circ=(50+10)^\circ[/tex]
[tex](x+10)^\circ=(60)^\circ[/tex]
So, remaining angles must be equal, i.e., (y + 15)° and 50° are equal.
[tex]y+15=50[/tex]
[tex]y=50-15[/tex]
[tex]y=35[/tex]
Therefore, the values of x and y are 50 and 35 respectively.
The values of x and y are 50 and 35 respectively.
The corresponding angles of similar triangles are equal. Therefore,
The first patio angles are:
x + 10
y + 15
70°
The second patio angles are ;
x + 20
50°
60°
Therefore,
x + 20 = 70
x = 70 - 20
x = 50
y + 15 = 50
y = 50 - 15
y = 35
read more: https://brainly.com/question/19297980?referrer=searchResults
Which of the following is the solution to 17 - 2x=-11?
3
-14
14
he
-3
Answer:
17-2x =-11 I got 14
Step-by-step explanation:
Subtract the 17 from the -11 which will be -28 and then divided -28 by -2 and your answer is 14
Draw a circle of radius 4cm construct a pair of tangents to it the angle between which is 60°
Step-by-step explanation:
i hope its image help youDonald Duck has the option of being paid biweekly or weekly? He chooses
weekly because he tells you, more paychecks means more money. What
would you tell him?
A. Donald you are wrong. You get more money if you get paid biweekly, the checks are
double
B. not enough information
C. Donald you are wrong. Its the same amount of money in a year.
D. Donald you are right. I am changing to weekly paychekcs.
Answer:
b
Step-by-step explanation:
doesn't tell the amount of money each check he gets
Answer:
answer is C
C. Donald you are wrong it's the same amount of money in a year
1000 branilys Determine the coordinates of the point shown.
A coordinate grid shown. There are increments of 0.5 for each grid line on each of the two axes. A point is located at 3 grid lines to the right and 1 grid line down from the origin.
(1.5, −0.5)
(−0.5, 1.5)
(3, −1)
(1, −1)
Answer:
Its A ( 1.05, -0.5)
Step-by-step explanation:
mathematics, Mariana and her juice
Answer:
2350
Step-by-step explanation:
Answer:
2350
Step-by-step explanation:
You just add both of the apple and cranberry juice together then subtract by 1900.
Which correctly explains how to estimate 55 percent of 64? A. Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as 1/4 so 1/4 of 60 is 15 B. Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as 1/3 so 1/3 of 70 is 23.3 C. Round 55 percent to 50 percent and 64 and 70. Think of 50 percent as 1/5 so 1/5 of 60 is 12 or D. Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2 so 1/2 of 60 is 30
Answer: Choice D
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2 so 1/2 of 60 is 30.
===================================================
Explanation:
There are many ways to estimate, but this is probably the easiest since 1/2 = 0.50 = 50%, and taking half of something is fairly straightforward and quick.
Taking half of 60 is like taking half of 6, except we stick at 0 at the end.
Half of 6 is 3
Half of 60 is 30
The estimate of 55% of 64 is 30
The actual value is
55% of 64 = 0.55*64 = 35.2
which isn't too far off.
-------------------------
Extra info:
Choice A is false because 40% is not equal to 1/4. Instead 1/4 = 0.25 = 25%Choice B is false because 1/3 = 0.333 = 33.3% approximately, so 1/3 is not equal to 60%Choice C is false because 1/5 = 0.20 = 20% and not 50% ILL MARK BRAINLEST IF YOU GIVE ME RIGHT ANSWER!!!! Which of the following is a Pythagorean triple?
A. (3,4,6)
B. (10, 12, 15)
C. (5,5, 10)
D. (6,8,10)
Answer:
C.(5,5,10)
1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, ... 5, 10, 13, 15, 17, 20, 26, 29, 30, 34, 35, ... 25, 50, 75, 100, 150, 169, 175, 200, 225, ...
Can someone please help?
What property goes on the right side?
example: addition, subtraction, etc.
Answer:
3. definiton of angle bisector
4. substitution property (of equality)
5. 2x+14=34
5. subtraction property of equality
6. 2x = 20
6. subtraction property of equality
WILL GIVE BRAINLIEST IF RIGHT!!! PLS HELP!!!
Answer: The answer is C Have a good day
Step-by-step explanation:
please help i’ll give brainliest
Step-by-step explanation:
maybe 11 I'm not a 100% just trying to help because that's how many full squares it has
-22 + 36
adding and subtracting integers
plz help me
Answer:
14
Step-by-step explanation:
5x+x=-18
solve for x
Answer:
x=-3
Step-by-step explanation:
5x+x=-18 Combine like terms.
6x=-18 Divide by 6 on both sides.
/6 /6
x=-3
Hope this helps...have an amazing day Σ(っ °w °;)っ
Solve the equation for all real solutions 4z^2-8z+5=2
Answer:
z=1/2 and z=3/2
Step-by-step explanation:
Hi. I need help with these questions.
See image for question.
Answer 23 , 24,25,26
Answer:
23) 4x² - 8k²x + k⁴ = 024) (i) 2, (ii) 725) (i) 11/8, (ii) -81/826) (a³ + b³ + c³ + 3abc)/a³Step-by-step explanation:
23..............................
GivenEquation 2x(x - k) = k² with the roots α and βTo findThe equation with roots α² and β²Solution2x(x - k) = k²2x² - 2kx - k² = 0The sum and the product of the roots
α + β = - (-2k)/2 = kαβ = - k²/2The equation with roots α² and β² is:
(x - α²)(x - β²) = 0x² - (α² + β²)x + α²β²= 0x² - ((α + β)² - 2αβ)x + (αβ)² = 0x² - (k² - 2( -k²/2))x + (- k²/2)² = 0x² - (k² + k²)x + k⁴/4 = 04x² - 8k²x + k⁴ = 024..............................
GivenEquation 3x² - 9x + 2 = 0 with the roots α and βTo findThe values of
αβ² + α²βα² - αβ + β² SolutionThe sum and the product of the roots
α + β = - (-9)/3 = 3αβ = 2/3(i)
αβ² + α²β =αβ(α + β) =2/3(3) =2(ii)
α² - αβ + β² = α² + 2αβ + β² - 3αβ =(α + β)² - 3αβ =3² - 3(2/3) =9 - 2 =725..............................
GivenEquation 2x² + 9x + 12 = 0 with the roots α and βTo find(a) show that the quadratic equation whose roots are (α - 1/α) and (β - 1/β) is 24x² + 90x + 115 = 0The values of
(i) αβ (1/α² + 1/β²)(ii) α³ + β³SolutionThe sum and the product of the roots
α + β = - 9/2αβ = 12/2 = 6a) The quadratic equation whose roots are (α - 1/α) and (β - 1/β) is:
(x - (α - 1/α))(x - (β - 1/β)) = 0x² - (α - 1/α + β - 1/β)x + (α - 1/α)(β - 1/β) = 0x² - ((α + β) - (α + β)/αβ)x + αβ + 1/(αβ) - (α/β + β/α) = 0x² - ((α + β) - (α + β)/αβ)x + αβ + 1/(αβ) - ((α+β)² - 2αβ)/(αβ)= 0x² - (-9/2 - (-9/2)/6)x + 6 + 1/6 - ((-9/2)² - 2(6))/6 = 0x² - ( -9/2 + 3/4)x + 37/6 - (81/4 - 12)/6 = 0x² + 15/4x + 37/6 - 33/24 = 0x² + 90/24x + 148/24 - 33/24 = 024x² + 90x + 115 = 0Proven(i)
αβ (1/α² + 1/β²) =αβ(α² + β²)/(α²β²) =((α + β)² -2αβ)/(αβ) =((-9/2)² - 2(6))/6 =(81/4 - 12)/6 =81/24 - 2 =33/24 =11/8(ii)
α³ + β³ =(α + β)(α² - αβ + β²) = (α + β)(α² + 2αβ + β² - 3αβ) =(α + β)((α + β)² - 3αβ) =(-9/2)((-9/2)² - 3(6)) =-9/2(81/4 - 18) =-9/2(9/4) =-81/826..............................
GivenEquation ax² + bx + c = 0 with the roots α and βTo findExpress (1 - α³)(1 - β³) in terms of a, b and cSolutionThe sum and the product of the roots
α + β = - b/aαβ = c/aThe expression is evaluated as follows:
(1 - α³)(1 - β³) = 1 - (α³ + β³) + α³β³ =1 - (α + β)((α + β)² - 3αβ) + (αβ)³ =1 - (-b/a)((-b/a)² - 3c/a) + (c/a)³ =1 + (b/a)³ + 3bc/a² + c³/a³ =1 + (b³ + c³ + 3abc)/a³ =(a³ + b³ + c³ + 3abc)/a³What is the product of 35 and 434?
A. 21720
B. 3320
C. 4310
D. 515
Answer:
none of the answer choices are correct.
CORRECT ANSWER: 15,190
Answer:
The actual product is 15,190
Step-by-step explanation:
-2x + 15 = 7
Show your work steps and solution
Answer:
-2x+15=7
-15
-2x=7
+15
-2x=22
then divide -2 by 22 and you get -11
Step-by-step explanation:
hopefully this is right
Oceanside Bike Rental Shop charges 12 dollars plus 6 dollars an hour for renting a bike. Write an expression for the cost of renting bikes for x hours.
Answer:
[tex]y = 12 + 6x[/tex]
Step-by-step explanation:
Given
[tex]Base\ Amount = 12[/tex]
[tex]Additional = 6[/tex] per hour
Required
Determine the expression for the cost in x hours
Represent the cost with y
y is calculated using the following expression
[tex]y = Base\ Amount + Additional * x[/tex]
Where x represent the number of hours.
Substitute values for the base amount of bike and the additional cost per hour
[tex]y = 12 + 6 * x[/tex]
[tex]y = 12 + 6x[/tex]
So, the expression to determine the cost of bike in x hours is: [tex]y = 12 + 6x[/tex]
FOR A TEST PLS HELP!
A circle has a circumference of 21.98m. What is the diameter?
Where is the Y- intercept at
Answer:
(0, -2)
Step-by-step explanation:
The y-intercept is where the graph crosses through the y axis, when x is equal to 0. On this graph, the line goes through the y-axis at -2. At -2, we can also see that x=0
In general, the y-axis of a graph will always be (0, y).
Meredith deposits $1,400 into an account that earns 3% annual simple interest. How many years will it take Meredth to earn $294 in simple interest on the account?
Answer:
21 years
Step-by-step explanation:
-30 + (-10) + 12
Answer:
-25
-28
23
Dr. Cohn is testing how long it takes for a person's body to process a new medicine. She observes that the medicine is used by the body at a constant rate. For her latest test, Dr. Cohn starts with 15 milligrams of the medicine and notes that 12.6 milligrams remain unused after 1 hour. Which equation could Dr. Cohn use to solve for p, the percentage of the medicine that is used in 1 hour? A. p100=12.615 B. p100=2.415 C. p15=1002.4 D. p15=10012.6
Answer:
the options were not copied correctly, option B could be correct but it is missing the division signs:
B. p / 100 = 2.4 / 15
the percentage of medicine used in 1 hour:
p / 100 = (15 - 12.6) / 15 = 2.4 / 15
p / 100 = 0.16
p = 0.16 x 100 = 16%
another option could be C but it would be missing the multiplication signs:
C. p x 15 = 100 x 2.4
p x 15 = 240
p = 240 / 15 = 16%
Help me solve this please
Answer:
180 - 90 - 41 = 49
Step-by-step explanation:
Have a great day :)
Answer: 49
Step-by-step explanation:
90 + 41 + G = 180
131 + G = 180
G = 49
Nathaly is twice as old as her little sister. The sum of their ages is 24. Letting
the age of Nathaly's little sister be N, write an equation for the problem and
then solve it. Then state how old Nathaly and her little sister are.
Answer:
AN equation would be N=x•2x
Nathaly would be 16 and her little sister would be 8
May I have brainliest please? :)
i need help what is w-8=32
Answer:
w=40
Step-by-step explanation:
w=40 because when you subtract 40-8 the sum is 32 so W=40
w-8=32
------------------------------------------------------------------------------------------------------
add 8 to -8, and 32.
8 and -8 will cancel out. 32 and 8 will increase though. So, it should be:
w=40
A weather station on the top of a mountain reports that the temperature is currently and has
been falling at a constant rate of per hour. Find each temperature. Explain or show your
reasoning.
What was the temperature?
D. An hour ago?
E. 3 hours ago?
F. 4.5 hours ago?
Answer:
1 hour ago-0*C3
hours ago-(-3*C)
4.5 hours ago- (-9*C
Factor the GCF: −14y2 + 12y − 22
Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).
Step-by-step explanation:
Question 19
The smallest number by which 45 should be multiplied so as to get a perfect square is
(1 Point)
3
05
O 7
O2
Answer:
45 * x = 49
x = 49 / 45 = 1.0888888888888...
Step-by-step explanation:
Katie is making chocolate candies for her classmates' Valentine's Day gifts. She melts 12.8 ounces of chocolate and divides it among 40 candy molds. If Katie divided the melted chocolate evenly, how much would each candy weigh?
Answer:
0.32 ounces of chocolate per mold
Step-by-step explanation: