Answer:
x=3 y=2
Step-by-step explanation:
Step one:
Add both equation
2x+3y=12
+ 15x-3y=39
___________
17x=51
x=3
Step 2: After finding the answer for x, plug it into the first equation to find the value of y
2(3)+3y=12
6+3y=12
3y=6
y=2
Match the vocabulary word with the correct definition.
1. compound event
2. independent event
3. dependent event
- the occurrence of one event affects
the probability of the occurrence of another event
- the occurrence of one event does
not affect the probability of the occurrence of another event
- two or more events considered
independent event-the occurrence of one event does not affect the probability of the occurrence of another event
compound event-two or more events considered
dependent event-the occurrence of one event affects the probability of the occurrence of another event
a) Compound Event refers to the combination of two or more events considered.
b) Independent Event occurs when one event does not affect the probability of the occurrence of another event.
c) Dependent Event describes a situation where the occurrence of one event affects the probability of the occurrence of another event
a) Compound Event: This refers to the combination of two or more events considered together. It involves analyzing the probability of multiple events occurring in a specific situation or experiment. For example, when rolling a pair of dice, the compound event might be the probability of getting a sum greater than 9.
b) Independent Event: This occurs when the outcome or occurrence of one event has no impact on the probability of the outcome or occurrence of another event. In other words, the events are unrelated and do not influence each other. For example, flipping a coin and rolling a die are independent events since the outcome of the coin flip does not affect the outcome of the die roll.
c) Dependent Event: This describes a situation where the occurrence of one event does affect the probability of the occurrence of another event. In dependent events, the outcome or happening of the first event has an impact on the likelihood of the second event. For instance, drawing cards from a deck without replacement is a dependent event since the probability of drawing a certain card changes after each card is drawn.
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En un bolsillo tengo una cantidad de dinero y en el otro tengo el doble. En total tengo 600. ¿cuántos euros tengo en cada bolsillo?
Answer:
La cantidad de dinero en:
Primer bolsillo = x = 200 euros
Segundo bolsillo = 2x = 400 euros
Step-by-step explanation:
Nos dijeron:
En un bolsillo tengo una cantidad de dinero y en el otro tengo el doble.
Representemos, la cantidad de dinero en el:
Primer bolsillo = x
Segundo bolsillo = 2x
En total tengo 600.
Por eso:
x + 2x = 600
3 veces = 600
x = 600/3
x = 200
2x = 200 × 2
x = 400
Por lo tanto, la cantidad de dinero en:
Primer bolsillo = x = 200 euros
Segundo bolsillo = 2x = 400 euros
y = 3x2 – 2x +3
Please help
Answer:
[tex]y = {3x}^{2} - 2x + 3 \\ y = ( \frac{1}{3} + i) {}^{2} [/tex]
What's the mean of {4,7,10}
Answer:
mean = (4 + 7 + 10 ) / 3
= 21 / 3
= 7
Step-by-step explanation:
Answer:
Average of 4,7 and 10:
Add all together 4+7+10=21
Then 21 divided by number of scores so 3.
21 divided by 3=7
So the mean is 7
1. Gwen deposits $7,000 in a savings account with an annual interest rate of 2.5%. What function
represents the value of her account after x years? What will her balance be after 9 years?
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $7,000
Interest rate (i)= 2.5%
To calculate the future value after x years, we need to use the following formula:
FV= PV*(1 + i)^x
Now, for 9 years:
x= 9
FV= 7,000*(1.025^9)
FV=$8,742.04
I NEED THIS ASAP. I WILL GIVE ALL MY 32 POINTS
MY ASSESMENT IS DUE TOMMOROW AND I HAVEN'T STARTED AND I NEED FULL MARKS
ANY QUESTIONS PLEASE COMMENT THANKS
Hi I can help u if you want to!!!
Can someone help me with this thank you
Answer:
30 sq cm
Step-by-step explanation:
The area of a parallelogram is the base times the height. We can see that the base is 10 cm, and 3 cm would be the height because it is perpendicular to the base. We get the equation:
Area = 10 cm x 3 cm
Area = 30 sq cm
please help ASAP! 7th grade
Since their were no numbers to the questions i had to write it by the problem
Circle with 9 feet question
C=2(pi)r or C=(pi)d
Circular table question
A=(pi)r^2
Interest question
I=Prt
Volume of a rectangular prism
V=Bh
Triangular pyramid
V=1/3Bh
The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.
At Sam’s Warehouse, a member pays $25 a year for a membership, and then buys all products at the regular store prices. A non-member does not pay the membership fee, but does pay an additional 5% above the store prices. Write and solve a system of equations to represent this situation where is the store price and is the total amount paid.xy
Answer:
[tex]y = 25 + x[/tex] --- Members
[tex]y = 1.05x[/tex] --- Non-members
Step-by-step explanation:
Given
[tex]x \to store\ price[/tex]
[tex]y\to total\ amount[/tex]
Members
[tex]Membership =\$25[/tex]
Non-members
[tex]Rate = 5\%[/tex] increase
For the members, the equation is:
[tex]y = Membership + Store\ price[/tex]
[tex]y = 25 + x[/tex]
For non-members, the equation is:
[tex]y = Store\ price * (1 + Rate)[/tex]
[tex]y = x * (1 + 5\%)[/tex]
[tex]y = x * (1.05)[/tex]
[tex]y = 1.05x[/tex]
Find the value of x that makes m∥n. PLEASEE HELP
Answer:
Step-by-step explanation:
143=5x+13(being corresponding angles)
143-13=5x
130/5=x
26=x
=======================================================
Explanation:
The angles shown are corresponding angles. Notice how they are in the northeast corner of their respective four-corner configuration.
If m is parallel to n, then the corresponding angles are congruent, and we can say...
5x+13 = 143
5x = 143-13 .... subtract 13 from both sides
5x = 130
x = 130/5 .... divide both sides by 5
x = 26
So taking this logic in reverse: if x = 26, then that leads to 5x+13 equal to 143, making the corresponding angles congruent. Therefore, it would lead to lines m and n being parallel.
Find the area of the shaded region.
Answer:
12.86 sq ft
Step-by-step explanation:
Find area of square and subtract out area of semi-circle; the diameter of the semi-circle equals the side of the square, which is 4 so radius is 2
A(square) = 4 x 4 = 16
A(semi-circle) = πr²/2
= 4π/2 or 2π
Area of Shaded Region = 16-3.14 which is 12.86
One solution to a quadratic equation is 4 - 5i. Find the equation.
Answer:
The answer would be Equation B:
x2 - 8x + 41
Step-by-step explanation:
Aiden uses 1/6 cup of blue paint for every 1/2 cup of red paint to make purple paint what is the number of cups of blue paint aiden uses for 1 cup of red paint
Answer:
your answer is 2/6 or 1/3 a cup.
Step-by-step explanation:
3
Find the missing angle.
20
180°
A
100°
B
50°
80°
D 70°
1,367.5897 to the nearest whole
Answer:
1368
hope this helps
have a good day :)
Step-by-step explanation:
If anybody could help with this question I would appreciate it so much!!
Answer:
d=7
Step-by-step explanation:
Which symbol correctly compares the two angles?
45° pi/3
Answer:
a pi = 3.14
Step-by-step explanation:
The symbol which compares the two angles is "< ".
What is an angle?
Angles around a point define the sum of angles that can be arranged together so that they construct a full arch. Angles around a point add to 360 °.
π/3 =180/3 = 60 degree
π/3 > 45 degree
45 degree < π/3
Therefore, the correct answer is option A. <.
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Hellppp pleaseee
Please be quick lol
Answer:
20(pi)
Step-by-step explanation:
• equation for the circumference of a circle= 2(pi)r
• You are given the diameter ( 20ft) but you need the radius (r) for the equation.
• divide 20 by 2 to get the radius since it is half of the diameter.
• 20/2=10 so c= 2(pi)(10)
• 2(10)=20
• plug in pi and your final answer is 20(pi)
Hey help me out please?
Answer:
I believe it is C
It's the only one that makes sense
what is the area of B1, =4,B2 =8, h =2
Answer: 12
Step-by-step explanation:
And please help me with this one too!! Thank you!!
Answer:
math.way
Step-by-step explanation:
Answer:
Step-by-step explanation:
y^2=49
y=[tex]\sqrt{49}[/tex]
y=7
Can someone please help me?
pls help will give brainliest
Answer:
132
Step-by-step explanation:
Volume for a rectangular prism is V=lwh. so you do 11*3*4. 11 is the length, 3 is the width and 4 is the height
Answer:
uhh, look it up
Step-by-step explanation:
plz help me asap !!!
Answer:
Step-by-step explanation:
x+60=140
x=140-60
x=80 degree
A point is on a circle if the distance from the center of the circle to the point is equal to the
area.
circumference.
radius.
diameter
Answer:
radius
Step-by-step explanation:
Answer:
Radius
Step-by-step explanation:
Center of the circle to a point on a circle would be the radius, seeing how as diameter is one edge of the circle to the other edge,of the circle, crossing the middle of the circle
p-8=3 can some one help me
Answer:
p=3+8=11
Step-by-step explanation:
Answer:
p = 11
Step-by-step explanation:
add 8 to both sides of the equation, so p = 3 + 8
p = 11
Assume that you want to construct a box with a square base (closed top) and a volume of 1000 cm3 . Find the dimensions of the box to minimize the surface area of the box.
Answer:
[tex]x=10\sqrt[3]{2}[/tex]
Step-by-step explanation:
The Volume of a box with a square base
x by x cm and height h cm is
V =x^2h
The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.
The surface area of the box described is
A = x ^2 +4 x h
We need
A as a function of x alone, so we'll use the fact that
V= x^2h = 1000 cm^3
This imples [tex]h=\frac{1000}{x^2}[/tex]
This makes
[tex]A= x^2 + 4x(1000/x^2)\\A= x^2+4000/x[/tex]
Differentiating A w.r.t. x
[tex]A' = 2x-4000/x^2[/tex]
Now, A'=0
[tex]x=10\sqrt[3]{2}[/tex]
Therefore, minimum value x = [tex]x=10\sqrt[3]{2}[/tex]
Three families, a, b, & c share 480 kg of rice. B receives twice as much as a, c receives half of b. How much rice does each family get?
Answer:
Family a got 120kg, b got 240 kg and c got 120 kg
Step-by-step explanation:
Given that 480kg of rice is shared by families a, b, c. let these alphabets represent the amount received by each family.
a + b + c = 480
Given that B receives twice as much as a, c receives half of b then,
b = 2a and
c = 1/2 b = b/2
from b = 2a,
a = b/2
substituting into the first equation
b/2 + b + b/2 = 480
b + b = 480
2b = 480
b = 480/2
= 240 kg
a = c = b/2
hence a = c = 240/2 = 120kg
A ship from Port travels fot 60km on the bearing of 129°.It continues to travel and changes direction for another 50km on a bearing of 080°
Answer:
The ship is approximately 100 km to the Port.
Step-by-step explanation:
The sketch to the question gives a triangle with two sides and an included angle. Let the distance from the Port to the stopping point of the ship be represented by c. It can be determined by the application of cosine rule. Cosine rule states that:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] -2ab Cos C
a = 50 km
b = 60 km
C = 51 + 80 = [tex]131^{o}[/tex]
So that;
[tex]c^{2}[/tex] = [tex]50^{2}[/tex] + [tex]60^{2}[/tex] -2(50 x 60) Cos [tex]131^{o}[/tex]
= 2500 + 3600 -6000 x -0.6561
= 6100 + 3936.6
[tex]c^{2}[/tex] = 10036.6
c = [tex]\sqrt{10036.6}[/tex]
= 100.183
c = 100.18 km
Thus, the ship is approximately 100 km to the Port.