The probability of both events occurring is 4/15
How to determine the probability?The given parameters are:
P(A) = 4/5
P(B) = 1/3
Because the events are independent, we have:
p(A and B) = P(A) * P(B)
This gives
P(A and B) = 4/5 * 1/3
Evaluate
P(A and B) = 4/15
Hence, the probability of both events occurring is 4/15
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Mateo rmpio su alcancia y compro dos articulos,uno de $700 y otro de $500.
Pago los dos articulos con monedas del mismo valo.¿Cual es la moneda de mayor valor que pudo haber usado y cuantas monedas entrego por cada articulo?
Answer:
Pesos: $20
Dolares: $1
Step-by-step explanation:
Si la moneda mas alta tiene un valor de $20 pesos, tendria que pagar el primer articulo con 35 monedas. $20 x 35 = $700
Tendria que pagar 25 monedas para el segundo articulo. $20 x 25= $500
Si fuera en dolares, tendria que pagar el primer articulo con 700 monedas y el segundo articulo con 500 monedas.
Espero que esto te haya ayudado :)
If 7 litres of petrol will last 23 minutes in Dave's car, then how long will 25 litres last? Give your answer to the closest minute.
Answer:
25 liters will last 82 minutes.
Step-by-step explanation:
All you have to do is divide 23 by 7 to get the minutes per liter.
This will get 3.285714285714286.
Next you multiply 3.285714285714286 by 25 and you get 82.14285714285714.
But since we need to round the answer by the closest minute the answer would be 82 minutes.
Hope this helped :D
HELP ASAP)
How many degrees is angle X?
How many degrees is arc ZY?
How many degrees is arc XY?
(Picture is below)
Answer:
X = 70°arc ZY = 140°arc XY = 82°Step-by-step explanation:
The angle sum theorem helps you compute the angle inside the triangle. The inscribed angle theorem helps you compute the arc measures outside the triangle.
TheoremsThe Angle Sum theorem tells you the sum of angles in a triangle is 180°. That lets you write the equation ...
X +Y +Z = 180°
X +69° +41° = 180°
The Inscribed Angle theorem tells you an inscribed angle has half the measure of the central angle subtending the same arc. The arc and the central angle have the same measure: twice that of the inscribed angle.
arc ZY = 2×∠X
arc XY = 2×∠Z
SolutionsUsing the equations we wrote describing the relationships of the unknowns to the known information, we find ...
X = 180° -110° = 70°
arc ZY = 2×70° = 140°
arc XY = 2×41° = 82°
Answer:Angle x=70°
Step-by-step explanation:interior angles add up to 180° so we add 41° and 69°. After addition,you minus from 180° and you get 70°
PLEASE HELP I WILL GIVE BRAINLIEST
What is the range of the function f(x) = |x| – 3?
{f(x) ∈ ℝ | f(x) ≥ –3}
{f(x) ∈ ℝ | f(x) < –3}
{f(x) ∈ ℝ | f(x) ≤ –3}
{f(x) ∈ ℝ | f(x) > –3}
The graph of this function opens up and all the y-values range from -3 to infinity, so therefore the range is all x≥-3
The range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.
What is the range of the function?The range of a function in mathematics can refer to one of two closely related ideas: The function's codomain a representation of the action A binary relation f between two sets X and Y is a function if there is exactly one y in Y such that f connects x to y for every x in X.
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The graph of this function opens up and all the y-values range from -3 to infinity, therefore, the range is all x≥-3. The graph is attached with the answer below.
Therefore, the range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.
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to its 4. RST maps to AR'S'T'.
Preimage
R(1, 1)
S(1,-1)
T(2,-2)
(197
dixes 180x
↑
↑↑
The coordinate rule is:
The transformation is:
Image
R'(3,2)
S'(3,-2)
T'(6,-4)
The coordinate rule for each point is;
R'(x, y) → (x + 2, y + 1)
S'(x, y) → (x + 2, y - 1)
T'(x, y) → (x + 4, y - 2)
How to Interpret Transformations?Coordinate plane rules is simply (x, y) → (x ± h, y ± k)
where h and k are the horizontal and vertical shifts.
Thus, the coordinate rule for each point is;
R'(x, y) → (x + 2, y + 1)
S'(x, y) → (x + 2, y - 1)
T'(x, y) → (x + 4, y - 2)
The transformation is (x, y) = (x, y) for Point R
The transformation is (x, -y) = (x, -y) for Points S and T
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please helpp
Answer:
(B). 86°
Step-by-step explanation:
Why are there two solutions for the equation |6+y| = 2?
Explain.
Answer:
y=-4 and y=-8
Step-by-step explanation:
When you have an absolute value around something, you can remove it, expect it's like a square root, it's going to be a [tex]\pm[/tex]. Because 6+y could've been -2 and the absolute value just made it positive 2
So set 6+y equal to -2 and 2 to find the two solutions:
6+y = 2
y = -4
6+y = -2
y = -8
Hey there!
YOUR EQUATION: |6 + y| = 2
CONVERT THAT TO:
y + 6 = 2 OR y + 6 = -2
FIRST let’s solve for: y + 6 = 2
y + 6 = 2
SUBTRACT 6 to BOTH SIDES
y = 6 - 6 = 2 - 6
SIMPLIFY THAT!
y = 2 - 6
y = -4
Possible solution #1: y = -4
LASTLY let’s solve for: y + 6 = -2
y + 6 = -2
SUBTRACT 6 to BOTH SIDES
y + 6 - 6 = -2 - 6
SIMPLIFY THAT AS WELL!
y = -2 - 6
y = -8
Possible solution #2. y = -8
Therefore, your answer should be:
y = -4 or y = -8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which two activities are examples of data collecting?
A. Graphing the heights of baseball players
B. Measuring the time between bus stops
C. Asking people what their favorite food is
D. Using the results of a race to predict who will win future races
Hello!
The 2 activities which represent data collecting are :
A. Graphing the heights of baseball playersC. Asking people what their favorite food isThe two activities in the choices represents data collecting are:
A. Graphing the heights of baseball players
C. Asking people what their favorite food is.
Because, in collecting data we will asking or not asking but measuring the data th needed to represents.
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The figure shows a circle circumscribed around a triangle.
Triangle U T V is inscribed within a circle. A point is at the center of the triangle. Lines are drawn from the points of the triangle to the point in the middle. Lines are drawn from the point in the middle to the sides of the triangle to form right angles.
What is constructed first when creating the circle?
perpendicular segments to the vertices of the triangle
perpendicular bisectors of the sides of the triangle
angle bisectors of each angle of the triangle
the incenter of the triangle
Option B is right perpendicular bisectors of the sides of the triangle
What circumcircle?If we draw a circle through all the vertices of a triangle then the circle obtained is the circumcircle of the given triangle. We have in a triangle there are some properties inherent.
One is the perpendicular bisectors of all sides are concurrent. These three concur at a point called the circumcentre of the triangle.
When we draw a perpendicular bisector for a side AB, we get that all points on the perpendicular bisector are equidistant from A and B.
When we take the point of intersection of the perpendicular bisector of AB and BC, we have the intersecting point S(say) is equidistant from A and B and also from B and C
In short, this is equidistant from all 3 vertices and hence is the centre of the circumcircle of triangle ABC
Therefore Option B is right perpendicular bisectors of the sides of the triangle.
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Which pairs of rectangles are similar polygons?
Select each correct answer.
(See image for details.)
The pairs of rectangles are similar polygons; Option C and Option D.
What is a polygon?A polygon is a closed figure made up of three or more line segments connected end to end.
Similar polygon beings their sides have equivalent ratios to each other.
Two polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional.
C. 1.89/2.1 = 81/0.9 = 90
D. 120 / 24 = 60 / 12 = 5
Hence, Option C and Option D are similar polygons only.
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Choose the ordered pair which is the solution to: x + y = 5 and x − y = 1.
find the solution of the polynomial 2x^2 - 3x
Answer:
(2x-3)x
Step-by-step explanation:
The question has grouping, for the answer you have to ungroup the problem to get your solution.
Use the drawing tools to form the correct answer on the number line. Graph the solution set to this inequality. 3x11 > 7x + 9 Drawing Tools Select Point Open Point Ray Click on a tool to begin drawing. -10 -8 -6 -4 -2 0 + Delete 2 4 Undo 6 ·00 8 Reset 10 Use the drawing tools to form the correct answer on the number line . Graph the solution set to this inequality . 3x11 > 7x + 9 Drawing Tools Select Point Open Point Ray Click on a tool to begin drawing . -10 -8 -6 -4 -2 0 + Delete 2 4 Undo 6 · 00 8 Reset 10
Hello,
3x - 11 > 7x + 9
⇔ -11 - 9 > 7x - 3x
⇔ - 20 > 4x
⇔ -20/4 > 4x/4
⇔ - 5 > x
⇔ x < - 5
The solution to the inequality 3x - 11 > 7x + 9 is x ∈ (-∞, 5) the graph is shown in the picture.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
The inequality is:
3x - 11 > 7x + 9
After simplification:
3x - 7x > 9 + 11
-4x > 20
-x > 5
Multiplying by a negative sign on both sides:
x < -5
The number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.
After plotting on the number line:
x ∈ (-∞, -5)
Thus, the solution to the inequality 3x - 11 > 7x + 9 is x ∈ (-∞, 5) the graph is shown in the picture.
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Help plsssssss WILL GIVE BRAINLIEST
Answer: (1,2)
Step-by-step explanation:
I will help you..
Given:
[tex]-2x-5y=-12\\10x-4y=2[/tex]
Lets cancel out the x term..
[tex]5(-2x-5y)=-12(5)\\=-10x-25y=-60[/tex]
Now our system looks like this:
[tex]-10x-25y=-60\\10x-4y=2[/tex]
Add.
[tex]-29y=-58\\y=2[/tex]
plug in 2 for y
[tex]-2x-5(2)=-12\\-2x-10=-12\\-2x=-2\\x=1[/tex]
Therefore the system is:
[tex](1, 2)[/tex]
If this helped consider marking brainiest.
Answer:
y=2 x=1
Step-by-step explanation:
1. 5(-2x-5y=-12)
10x-4y=2
2. -10x-25y=-60
+
10x-4y=2
3. -29y=-60+2
-29y=-58
y=2
What is cos(30°)?
2
1
cos (30°)
30%
= =
√3
√[?
Enter
Answer:
Cos (30°) = √3/2
Step-by-step explanation:
that is the solution above
The value of the trigonometric equation cos ( 30 )° = √3/2
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of ∠BAC = 30°
The adjacent side of the triangle AC = √3 units
The hypotenuse of the triangle AB = 2 units
So , from the trigonometric relations
cos θ = adjacent / hypotenuse
On simplifying , we get
cos ( 30 )° = √3/2
Therefore , the measure of cos ( 30 )° = √3/2
Hence , the trigonometric relation is cos ( 30 )° = √3/2
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PLEASE HELP ILL GIVE BRAINLIEST!!!! I AM STUMPED AS I HAVE NOT PAYED ANY ATTENTION IN CLASS PLEASE HELP ME!!!!
Answer:
[tex]y=\frac{-2}{3} x-15[/tex]
Step-by-step explanation:
First draw a line. I will put it in an attachment so you can see the line.
Now choose to points on the line to use the slope formula.
(0,15) and (3,13).
Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
Plug in the information needed using the two points chosen.
[tex]\frac{13-15}{3-0}=\frac{-2}{3}[/tex]
The slope is [tex]\frac{-2}{3}[/tex].
Now use point-slope formula.
Point-slope formula: y-y1=m(x-x1)
y-15=[tex]\frac{-2}{3}[/tex](x-0)
y-15=[tex]\frac{-2}{3}[/tex]x-0
Subtract 15 from both sides.
y=[tex]\frac{-2}{3}[/tex]x-15
Hope this helps!
If not, I am sorry.
Solve using a paragraph proof
Given:Rectangle DVEO with diagonals DE and OV
Prove: OVE ≅ DEV
Answer:
you will use the SOHCAHTOA METHOD IF ITS A TRIANGLE. Not sure
Aiden works in a warehouse. 1,200 men work in the warehouse, while only 300 women work there. Write a ratio that compares men to women working at the warehouse. Question 2 options: 300 : 1,200 3 : 1 4 : 1 1,200 : 400
The ratio that compares the men to the women who work at the warehouse is 4 : 1.
What is a ratio?A ratio is a value that shows the proportional relationship between two quantities.
A ratio indicates how many times one number is contained in another.
For example, in the above task, there is 4x the number of men when compared with the number of women who work at the warehouse.
Data and Calculations:Men working at the warehouse = 1,200
Women working at the warehouse = 300
Ratio of men to women = 4 : 1 (1,200 : 300)
Thus, the ratio that compares the men to the women who work at the warehouse is 4 : 1.
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Answer: 4:1
i just took a test
Step-by-step explanation:
PLEASE HELP URGENT!!!!
Answer:
j fingertip was not an easy choice but
Sum of three consecutive even numbers is 36. Find the numbers.
Answer:
12
Step-by-step explanation:
12 + 12 + 12 = 36
ORlet each number = X
3x = 36
x = 36/3
x = 12
Hope this helps.Good luck ✅.Consider the Expression
An equivalent expression with the rational denominator is,[tex](-8x+5)^ {\frac{-1}{2}}[/tex].Option A is correct from the drop-down menu.
What is a fraction simplification?Fraction simplification is a method of fraction reduction that entails making a fraction as simple as possible.
This is accomplished by dividing the numerator and denominator by the biggest integer that divides both integers exactly.
A fraction is consist of the form p/q
Where,
P is the numerator and q is denominator
An equivalent expression with the rational denominator is,[tex](-8x+5)^ {\frac{-1}{2}}[/tex].
Hence option A is correct.
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Please help I’ll make Brainlest
Step-by-step explanation:
y = 1/x^2 => g
y = x^2 => a
y = (x)^1/3 => f
y = 1/x => b
For the following exercises, solve the equations below and express the answer using set notation.
14. 2| 4 − x | = 7
Answer: 1/2, 15/2
Step-by-step explanation:
to solve this absolute value equation, all you need to do is divide the 2 over to the other side of the equation, giving:
|4-x|=7/2
and then you can remove the absolute value symbols and make 2 equations:
4-x=7/2
4-x=-7/2
solve these and you're done!
Need help asap pls
In the photo
Answer:
26 is my guess
Given the midpoint B (-41, 23), create 2 different set of end points that don’t have the same x or y value of the midpoint. Verify your points by solving for the midpoint and identify them as points G and H. Show your work to prove your answer
can someone pleas help
Using the mid-point concept, the set of points that has midpoint B(-41,23) is: G(10,10) and H(-92,36).
What is the mid-point concept?The mid-point between two points is the halfway point between them, and is found using the mean of the coordinates.
In this problem, we have that:
The mid-point is B(-41,23).The other points are G(10,10) and H(x,y).Hence the coordinates of H are found as follows:
[tex]-41 = \frac{10 + x}{2}[/tex]
10 + x = -82.
x = -92.
[tex]23 = \frac{10 + y}{2}[/tex]
10 + y = 46.
y = 46.
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Which number is irrational?
Answer:
4.12
Step-by-step explanation:its 4.12 because all except it are in fraction form and irrational numbers cant be in fraction.
Zoltan has a list of whole numbers, all larger than 0 but smaller than 1000. He notices that every number in his list is either one-third of another number in the list or three times another number in the list. What is the largest number of different whole numbers that can be on Zoltan's list?
The largest number of different whole numbers that can be on Zoltan's list is 999
How to determine the largest number?The condition is given as:
Number = 1/3 of another number
Or
Number = 3 times another number
This means that the list consists of multiples of 3
The largest multiple of 3 less than 1000 is 999
Hence, the largest number of different whole numbers that can be on Zoltan's list is 999
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find the area of the shape below
Answer:
47.92cm²
Step-by-step explanation:
Area = length x width
We first section off different rectangles to use the above formulaThe blue represents the total length of the F sideMake P the subject.
Q = 3P + 2
Answer:
P = [tex]\frac{Q-2}{3}[/tex]
Step-by-step explanation:
Q = 3P + 2 ( subtract 2 from both sides )
Q - 2 = 3P ( isolate P by dividing both sides by 3 )
[tex]\frac{Q-2}{3}[/tex] = P
I need answer quickly
Hello !
Answer:
Step-by-step explanation:
Pythagorean Theorem : a² + b² = c² ⇔ b² = c² - a²
Here, we have a = 4 and c = 6 so :
b² = 6² - 4²
⇔ b² = 36 - 16
⇔b² = 20
⇔ b = √20 (and not b= -√20 because b ≥ 0)
Answer:
b = [tex]\sqrt{20}[/tex]
Step-by-step explanation:
Using the Pythagorean Theorem:
6² = 4² + b²
⇒ b² = 6² - 4²
⇒ b = [tex]\sqrt{6^2 - 4^2}[/tex]
⇒ b = [tex]\sqrt{36 - 16}[/tex]
⇒ b = [tex]\sqrt{20}[/tex]