When two events are dependent, this means that one event cannot occur without the other, or simply put the two events are connected to each other in one way or the other.
When two events are independent, this means that the two events can occur separately, with one event having no effect on the occurrence of the other.
Therefore the dependent and independent events are as follows:
Independent event:
c. rolling a die twice
The outcome of the first die does not affect the outcome of the second die, hence independent.
Dependent event:
d. drawing one card from a standard deck, not replacing it, and then selecting another card
By the act of not replacing the drawn card, we are changing the probability of selecting another card, hence dependent.
The sum of the digits of a two-digit number is 7. the new number obtained when the digits are reversed is 27 less than the original number. find the original number
Patty is inviting her friends to a party. She has 30 snack bars and 45 juice boxes, and she wants to give the same number of each item to each friend. Use the drop-down menus to describe how many friends Patty can invite. At most, Patty can invite friends to the party. If she invites that many friends, each will receive snack bars and juice boxes.
Is the following relation a function? {(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)}
Answer:
No, the given relation is not a function.
Step-by-step explanation:
Consider the given relation
[tex]\{(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)\}[/tex]
We need to check whether the given relation is function or not.
A relation is a function if there exist a unique value of y for each value of x.
In the given relation, for x=0.3 there exist more than one value of y.
y=0.6 at x=0.3
y=0.7 at x=0.3
For one input there exist more than one output. Therefore, the given relation is not a function.
∠DAC and ∠CAB are adjacent. m∠DAC = 53°, m∠DAB = 64°. What is the measure of ∠CAB?
A) 11°
B) 117°
C) 53°
D) 64°
Help plz
What is the approximate distance between points A and B?
A 3.61
B 9.22
C 10.35
D 12.62
Answer:
B 9.22
Step-by-step explanation:
Hello
to find the distance, you can use the distance between two points equation
Given
[tex]P1(x_{1},y_{1})\\P2(x_{2},y_{2})\\\\the\ distance(d)\\\\D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} } \\[/tex]
Step 1
define
[tex]P1=A=(4,3)\\P2=B=(-2,-4)\\[/tex]
Step 2
put the values into the equation
[tex]D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} } \\D=\sqrt{(-2-4)^{2} +(-4-3)^{2} }\\ D=\sqrt{(-6)^{2}+(-7)^{2} }\\ D=\sqrt{36+49} \\D=\sqrt{85} \\D=9.22[/tex]
the distance between the points is 9.22 ⇒B
Have a great day
the answer you are looking for is....
B 9.22Give an example of a rational function that has a horizontal asymptote of y = 2/9.
An airplane traveling 245 m/s east experiences turbulence, so the pilot slows down to 230 m/s. It takes the pilot 7 seconds to slow down to this speed. What is the acceleration of the plane? Round your answer to the nearest hundredth.
2.14 m/s2
–2.14 m/s2
67.86 m/s2
–67.86 m/s2
Answer:
Acceleration, [tex]a=-2.14\ m/s^2[/tex]
Step-by-step explanation:
Initial speed of the airplane, u = 245 m/s
Final speed of the airplane, v = 230 m/s
The pilot takes 7 seconds to slow down to this speed. Let a is the acceleration of the plane. The change in velocity per unit time is called the acceleration of an object. It can be calculated as :
[tex]a=\dfrac{v-u}{t}[/tex]
[tex]a=\dfrac{230\ m/s-245\ m/s}{7\ s}[/tex]
[tex]a=-2.14\ m/s^2[/tex]
So, the acceleration of the plane is [tex]-2.14\ m/s^2[/tex]. Hence, the correct option is (b).
BRAINIEST AND YOU WILL GET 10 POINTS!
What is the value of p in the equation 4p + 3(p + 4) = 12p + 12?
12, 1, 0, -1.
Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
3x = 9, 3x = 1 , 11x = 9, 11x = 1
What is the value of z in the equation 3z + 5 = 4z − 8?
13, 1, -13, -1
The work of a student trying to solve the equation 3(4x − 2) = 9 + 2x + 5 is shown below:
Step 1: 3(4x − 2) = 9 + 2x + 5
Step 2: 12x − 2 = 14 + 2x
Step 3: 12x − 2x = 14 + 2
Step 4: 10x = 16
Step 5: x = 1.6
In which step did the student first make an error and what is the correct step?
Step 2: 12x − 2 = 4 + 2x
Step 2: 12x − 6 = 14 + 2x
Step 3: 12x + 2x = 14 + 2
Step 3: 12x − 2x = 14 − 2
What is the length of each side of the right isosceles triangle with a hypotenuse that measure 2.5√2 units.
a^2 +b^2 = (2.5sqrt(2))^2
2a^2 = 6.25 *2
a^2 = 6.25
a = sqrt(6.25)
a = 2.5
length of each side = 2.5 units
I need help with my essay questions!! Can someone please help me!! It would mean so much to me!!
24. You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.015. How confident can you be that your predicted value will be reasonably close to the actual value ?
I get 2 points for this essay. Please help me someone! I really don't know how to answer this!! :[
PLEASE HELP FOR BRAINIEST ASAP!!
Draw two isosceles triangles, ∆ABC and ∆ADC with common base AC. Vertexes B and D are in the opposite semi-planes determined by AC. Draw the line segment BD. Prove: AC ⊥ BD.
Can someone please help me with number 37?
Answer:
x = 10Step-by-step explanation:
[tex]4-(3x-5)=6-(2x+7)\\\\/-(a+b)=-1(a+b)=(-1)(a)+(-1)(b)-\text{distributive property}/\\\\4-3x-(-5)=6-2x-7\\\\4-3x+5=6-2x-7\qquad\text{combine like terms}\\\\-3x+(4+5)=-2x+(6-7)\\\\-3x+9=-2x-1\qquad\text{subtract 9 from both sides}\\\\-3x+9-9=-2x-1-9\\\\-3x=-2x-10\qquad\text{sdd}\ 2x\ \text{to both sides}\\\\-3x+2x=-2x+2x-10\\\\-x=-10\qquad\text{change the signs}\\\\\boxed{x=10}[/tex]
Answer: [tex]x=10[/tex]
Simplify both sides of the equation
[tex]4-(3x-5)=6-(2x+7)[/tex]
[tex]4+-1(3x-5)=6+-1(2x+7)[/tex] (Distribute the Negative Sign)
[tex]4+-1(3x)+(-1)(-5)=6+-1(2x)+(-1)(7)[/tex]
[tex]4+-3x+5=6+-2x+-7[/tex]
[tex](-3x)+(4+5)=(-2x)+(6+-7)[/tex] (Combine Like Terms)
[tex]-3x+9=-2x+-1[/tex]
Add 2x to both sides
[tex]-3x+9+2x=-2x-1+2x\\-x+9=-1[/tex]
Subtract 9 from both sides
[tex]-x+9-9=-1-9\\-x=-10[/tex]
Divide both sides by -1
[tex]-x/-1=-10/-1\\x=10[/tex]
Use < , > , or = to compare the numbers. 54 68 70 70 55 930 778 703
For a craft project, two equilateral triangles are taped together to create a quadrilateral. What is the quadrilateral? rhombus rectangle trapezoid square
Answer:- The quadrilateral must be a rhombus.
Explanation:-
Given :-For a craft project, two equilateral triangles are taped together to create a quadrilateral.
We know that an equilateral triangle is a triangle in which all the sides and angles are equal such that its each interior angle should be 60°.
If we join two equilateral triangle by to create a quadrilateral then the sides of the quadrilateral would be same as it was constructed by equilateral triangle.
Then the interior angle for the sides which are not joint will remain same as 60°.
But the interior angle for the vertex of quadrilateral which has formed by joining two triangles will become 60°+60°=120°.
Thus it is not a square , rectangle (no right angle )or trapezoid(quadrilateral have equal sides).
Therefore, the quadrilateral must be a rhombus.
Which equation could be used to solve the given problem: if three times a number is increased by 24, the result is 4 less than seven times the number?
The equation of the given problem would be 3x + 24 = 7x - 4 and the solution is 7.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have given that "if three times a number is increased by 24, the result is 4 less than seven times the number"
Let the number be x then we have;
three times a number means 3x
seven times the number means 7x
Therefore, the equation will be;
3x + 24 = 7x - 4
Now solving for x unknown number;
3x + 24 = 7x - 4
24 + 4 = 7x -3x
28 = 4x
x = 7
Hence, the equation of the given problem would be 3x + 24 = 7x - 4, and the solution is 7.
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The perimeter of a rectangle is 525 inches and the ratio of the length to the with is 7:3 find the length of the with
Which of the following is equivalent to 34 · 3-2?
given f(x)=x^2-x; find f(-5)
Describe in a couple of sentences what key features you can identify from the graph of a quadratic equation?
What is the equation in point-slope form for the line parallel to y = -2x + 10 that contains J(6, 8)?
a. y - 8 = -2(x - 6)
b. x - 8 = 2(y - 6)
c. y - 8 = 2(x - 6)
d. y + 8 = -2(x - 6)
Answer: Hello mate!
A linear equation has the form y = ax + b
where x is the variable, a is the slope and b is the x-intercept.
We want to find the pararel line to y = -2x + 10
A paralel line of this, will be another line with the same slope ( -2 in this case) and a different x-intercept; then our line has the shape of:
y = -2x + b
and we know that this line pases through the point (6,8), and with this info we could find the value of b:
8 = -2*6 + b
b = 8 + 12 = 20
then y = -2x + 20 is the pararel line that passes through the point (6.8)
Then the correct answer is the option a:
a) y - 8 = -2(x - 6) = -2x + 12
y = -2x + 12 + 8 = -2x + 20
Which canadian island has a population density that ranges from under 2 people to as many as 250 people per square mile?
Prince Edward Island in Canada has a population density that can range from less than 2 people to as many as 250 people per square mile. This is due to various factors including climate, farmland, and job opportunities.
Explanation:The Canadian island with a population density that ranges from under 2 people to as many as 250 people per square mile is Prince Edward Island. This island is one of the three Maritime Provinces in Canada and is the smallest in both land area and population. But, when it comes to population density, it has a higher range than many other islands in Canada. This is due to its favorable climate, good farmland, and the job opportunities, mainly in farming and tourism, which attract a decent population.
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Find three consecutive odd integers whose sum is 117.
explain using complete sentences whether or not this is the most appropriate format for representing data and why if it is not the best format explain which format should have been used instead
The most appropriate format for representing data depends on the intended audience, data type, and presentation purpose. Adherence to professional formatting guidelines is critical, and while figures can make data accessible, they should not duplicate table data. The effectiveness of formats such as complete sentences, tweets, Prezi, and visual figures varies based on the context.
When choosing the most appropriate format for representing data, several factors need to be considered such as the intended audience, the type of data, and the purpose of the data presentation. Complete sentences, Prezi presentations, 140 character tweets, and drawn pictures each have their own strengths in conveying information effectively and engagingly depending on these factors.
For professional or academic reports, complete sentences and structured paragraphs provide in-depth analysis and explanation. However, for social media platforms, 140 character tweets can quickly capture attention and convey key points. A Prezi can be highly engaging and visually appealing for presentations, making complex information accessible. Conversely, when displaying detailed findings, sometimes a well-illustrated figure or a clear table can speak volumes more efficiently.
Nonetheless, adhering to formatting guidelines is crucial in a professional context, as non-compliance could lead to the rejection of the report. It's also important to note that while figures are useful for making data accessible, they should not duplicate data presented in tables. When using figures, they must be clearly titled, referenced in the text, and situated conveniently in the report. If the figures are too dense, they can be relegated to an appendix.
In summary, there is no one-size-fits-all format for data presentation. Preference may vary depending on personal comfort with certain formats or the requirements of a specific assignment. Reflecting on the exercise of presenting information in various formats can elucidate which is most effective for your specific needs and audience.
Ten times the square of a non zero number is equal to eighty times the number
What is the number?
The Number in the statement is 4/5.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Ten times the square of a non zero number is equal to eighty times the number.
let the number be x.
So, 10x² = 8x
10x² - 8x= 0
2(5)(x)(x) - 2 (2)(2)(x) = 0
2x( 5x - 4)= 0
Now, 2x= 0 or 5x-4=0
x= 0 or x= 4/5
Hence, the number is 4/5.
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During a certain day, a worker did 77 parts. He usually does 55 parts per day. What was the percent by which he increased the usual number of parts?
Given m∠P = 38° and m∠O = 70°, find m∠1.
38
72
108
142
pls
Answer:
The answer is m∠1 = 72°
Step-by-step explanation:
One of the properties of a triangle is that all the angles of the triangle must add up to 180°.
Therefore:
m∠P + m∠O + m∠1 = 180°
Given that:
m∠P = 38° and m∠O = 70°
We can conclude that:
38° + 70° + m∠1 = 180°
m∠1 = 180° - 38° - 70°
m∠1 = 72°
If a box measures 1.2m by 3.4m by 0.50m, what is its volume in liter
An auditorium is to seat 2,400 people. The building code requires three square feet for each person. How many square meters will that auditorium have?
What happens when you multiply 2 negative numbers?
Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two sides measure 13 cm each. One diagonal, EG, measures 24 cm. What is the length of the other diagonal, DF? 5 cm 16 cm 21 cm 32 cm
The length of the other diagonal, DF is 44 cm.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Since the kite has two pairs of congruent adjacent sides, we know that the diagonals of the kite are perpendicular bisectors of each other.
Therefore, we can use the Pythagorean theorem to find the length of the other diagonal DF.
Let x be the length of the other diagonal, DF.
We know that one diagonal EG has a length of 24 cm, so we can use the Pythagorean theorem to find the length of the perpendicular bisector of EG, which is half of DF.
By the Pythagorean theorem, we have:
[tex](20/2)^2 + (x/2)^2 = 24^2\\100 + (x/2)^2 = 576\\(x/2)^2 = 476\\x/2 = \sqrt(476)\\x = 2 \times 21.86\\x = 43.72\\x = 44[/tex]
Therefore,
The length of the other diagonal DF is 44 cm
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