Solve the problem involving probabillities withindependent events.A single die is rolled twice. Find theProbability of getting a 6 the first time anda 3 the second time.
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Solution
If a single die is rolled twice, we would have
[tex]P((6,3))=\frac{1}{36}[/tex]
Related Questions
I need help on what the answer is
Answers
In order to show these triangles congruent , we must identify the vertical angles
What is SAS congruent triangle?
SAS criterion stands for Side-Angle-Side criterion. Under this criterion, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
As in the given figure there are two triangles( ΔABC and ΔCDE)
And it is given that the side AC=CE & BC=CD
as we can see that the sides AB and DE are parallel.
So, the ∠ACB and ∠DCE will be equal (vertically opposite angle)
And we can also say that;
∠ABC = ∠CDE & ∠BAC = ∠CED (alternate interior angle)
so, the triangles ΔABC and ΔCDE are congruent through SAS congruency criteria
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find the value of the expression 4a + 7 when a equals 1/2
Answers
Answer:
9
Explanation:
Given the expression:
[tex]4a+7[/tex]When the value of a =1/2
[tex]\begin{gathered} 4a+7=4(\frac{1}{2})+7 \\ =2+7 \\ =9 \end{gathered}[/tex]The value of the expression when a=1/2 is 9.
If 9% of a number equals 3, find 36% of that number.
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A chemist is using 347 milliliters of a solution of acid and water. If 13.9 of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
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48.233 milliliters of acid are there.
Given:
A chemist is using 347 milliliters of a solution of acid and water.
13.9% of the solution is acid.
converting 13.9% to decimal:
13.9% = 13.9/100
13.9% = 0.139
milliliters of acid = total milliliters*0.139
= 347*0.139
= 48.233 milliliters.
Therefore 48.233 milliliters of acid are there.
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95ft 40ft 65 ft what is the area of this trapezoid
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You can find the area of the trapezoid using the following formula:
[tex]\begin{gathered} A=\frac{a+b}{2}\times h \\ \text{Where:} \\ a=Long\text{ base=95ft} \\ b=\text{short base=65ft} \\ h=\text{height}=40ft \\ A=\frac{95+65}{2}\times40=80\times40=3200ft^2 \end{gathered}[/tex]A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. (READ PICTURE FOR RESTc=
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I'll send a pic ! I need a rlly fast response !!
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The expression given is:
[tex](3^3\cdot3^{-1})^{-2}[/tex]One property of exponents that we know is:
[tex]a^xa^y=a^{x+y}[/tex]We use this property shown above to simplify the expression:
[tex]\begin{gathered} (3^3\cdot3^{-1})^{-2} \\ =(3^{3-1})^{-2} \\ =(3^2)^{-2} \end{gathered}[/tex]Now, we use the power property of exponents, which is:
[tex](a^b)^c=a^{bc}[/tex]to simplify our expression, fully:
[tex]\begin{gathered} (3^2)^{-2} \\ =3^{2\times-2} \\ =3^{-4} \end{gathered}[/tex]Using the property:
[tex]a^{-n}=\frac{1}{a^n}[/tex]we can write the answer as:
[tex]3^{-4}=\frac{1}{3^4}=\frac{1}{81}[/tex]From the choices, given, we can say:
• 2nd choice is correct
,• 3rd choice is correct
[tex]3^{-11}\cdot3^7=3^{-11+7}=3^{-4}[/tex]STS Solve Applications Involving Normal DistributionsA set of 1200 exam scores is normally distributed with a mean of 84 and standard deviation of 9. Use theEmpirical Rule to complete the statements below.
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Let us upload the bell curve for standard normal distribution
Given that
[tex]\begin{gathered} \mu=84 \\ \sigma=9 \\ \end{gathered}[/tex]15) How many students scored higher than 84
Therefore, the number of students that will score higher than 84 which is the mean will be 50% from the bell curve standard normal distribution.
Hence, the answer is 50%.
19) How many students scored lower than 75?
To get the number of students that score lower than 75, we will subtract 1standard deviation from the mean.
[tex]\begin{gathered} \mu-\sigma=84-9=75 \\ \end{gathered}[/tex]Hence, the number of students will be
[tex]9.2\text{ \%+4.4\%+1.7\%+0.5\%+0.1\%=15.9\%}[/tex]The answer is 15.9%.
20) How many students scored lower than 93?
To get the number of students that score lower than 93, we will add 1standard deviation from the mean.
[tex]\mu+\sigma=84+9=93[/tex]Hence, the number of students will be
[tex]100\text{ \% -(9.2+4.4+1.7+0.5+0.1)\%=100\%-15.9\%=84.1\%}[/tex]The answer is 84.1%.
What would be the height of a building the cast a shadow 50 feet long at the same time
Answers
Given:
The height of the girl is 5 ft and the length of the shadow is 2 ft., at the same time the shadow of the building is 50 ft .
Required:
To find the height of the building.
Explanation:
Let the height of the building is h ft.
Since triangle ABC is similar to the triangle DEF.
Thus by using the similarity condition.
[tex]\begin{gathered} \frac{AC}{DF}=\frac{AB}{DE} \\ \frac{5}{h}=\frac{2}{50} \\ h=\frac{50\times5}{2} \\ h=125\text{ ft} \end{gathered}[/tex]Final Answer:
Thus the third option is the correct answer.
Problem 2.1
I monitor the amount of battery left on my computer so I can make sure it doesn't die at the wrong time.
My battery loses charge at a constant rate.
This graph shows the percent of charge left on my computer, c, after I have been awake for h hours.
What was the percent charge when I woke up?
---------------------------------------------------------------------------------
Problem 2.2
This graph shows the amount of charge left on my computer, c, after I have been awake for h hours.
Enter an equation that describes the relationship between c and h.
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Using the graph, the percent chare when you woke up was: 90%.
The equation that describes the relationship between c and h is: c = -20h + 90.
How to Write the Graph of an Equation?To write the equation of a graph that represents a linear relationship between two variables, x and y, determine the initial value/y-intercept (b) and the value of the constant rate/slope (m), then substitute the values into y = mx + b.
The graph given shows the relationship between charge left on the computer, c, and the number of hours awake, h.
The initial value/y-intercept, b, represents the percent charge when you woke up = 90%.
The constant rate/slope (m) = change in c/change in h = (30 - 10)/(3 - 4)
m = -20/1
m = -20
To write the equation that describes the relationship between c and h, substitute m = 20 and b = 90 into c = mh + b:
c = -20h + 90
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What is 66253/19
please help this must be turned in by tonight
Answers
Answer:
3487
Step-by-step explanation:
Set up and solve. Round answers to the nearest tenth.A young giraffe casts a shadow of 27 feet when the angle of elevation of the sun is 20°. Draw and label a picture that represents the given information then find the height of the giraffe.
Answers
Given,
The length of the shadow is 27 feet.
The angle of elevation is 20 degree.
Required:
The height of the giraffe.
The diagram of the giraffe and shadow is,
The height of the giraffe is:
[tex]\begin{gathered} tan\theta=\frac{side\text{ opposite to }\theta}{side\text{ adjacent to }\theta} \\ tan20^{\circ}=\frac{AB}{BC} \\ BC=tan20^{\circ}\times AB \\ BC=27\times0.36397 \\ BC=9.8\text{ feet} \end{gathered}[/tex]Hence, the height of giraffe is 9.8 feet.
Is 4/21 and 16/84 proportional
Answers
Answer:
yes
Step-by-step explanation:
[tex]\frac{16}{84}[/tex] ( divide numerator and denominator by 4 )
= [tex]\frac{4}{21}[/tex]
they represent the same proportion
HELP ME I'LL GIVE YOU ALL OF MY POINTS (85) Which form of political participation includes walking in the streets with banners? (2 points)
a
Petition
b
Protest
c
Running for public office
d
Writing letters to officials
Question 2 (2 points)
(04.05 LC)
Who was chosen as the main writer of the Declaration of Independence? (2 points)
a
Benjamin Franklin
b
John Adams
c
Roger Sherman
d
Thomas Jefferson
Question 3 (2 points)
(04.05 LC)
What does the introduction of the Declaration of Independence explain? (2 points)
a
The amount of taxes people pay
b
The living conditions of the poor
c
The natural rights everyone has
d
The route from Philadelphia to New York
Question 4 (2 points)
(04.05 LC)
How does the Declaration of Independence end? (2 points)
a
With a final statement that the Thirteen Colonies are now free from British rule
b
With a list of British town names in the colonies
c
With a list of families from the Mayflower
d
With a suggestion on how to make things better between the colonies and Britain
Question 5 (2 points)
(04.05 LC)
Who was the first person to sign the Declaration of Independence? (2 points)
a
George Washington
b
John Hancock
c
Robert R. Livingston
d
Thomas Paine
Question 6 (2 points)
(04.05 LC)
What did King George III place in the colonies without their permission even during times of peace? (2 points)
a
British coal
b
British troops
c
Plum pudding
d
Spanish cattle
Question 7 (2 points)
(04.05 LC)
Which of these grievances is included in the Declaration of Independence? (2 points)
a
Britain controls who the colonies can trade with.
b
Britain tells the colonies how to build their homes.
c
King George III has never visited the colonies.
d
King George III should wear a silver crown.
Question 8 (2 points)
(04.05 LC)
What does the list of grievances in the Declaration of Independence describe? (2 points)
a
Important towns in the British colonies
b
Places King George III had visited in Britain
c
Ways King George III had violated colonists' rights
d
Ways the government of Britain could be kinder
Question 9 (2 points)
(04.05 LC)
What is political participation? (2 points)
a
Being involved in activities that help decide how a town, state, or country is structured and runs
b
Being involved in local theater and helping promote the plays by placing posters around town
c
Choosing what to wear to go to work or school
d
Doing chores at home to receive an allowance
Question 10 (2 points)
(04.05 LC)
What were Patriots doing that was considered treason against Britain? (2 points)
a
Going to church once a month
b
Planting French lavender in their gardens
c
Selling British tea at the market
d
Talking about independence from Great Britain
Answers
Answer:
1. Protest
2. Thomas Jefferson
3. The natural rights everyone has
4. With a final statement that the Thirteen Colonies are now free from British rule
5. John Hancock
6. British troops
7. Britain controls who the colonies can trade with.
8. Ways King George III had violated colonists' rights
9. Being involved in activities that help decide how a town, state, or country is structured and runs
10. Talking about independence from Great Britain
In the equation g(x)--2x^2(x-4)(2x-3) you are tasked to find the roots of the equation, how would you go about solving (2x-3)?
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I would solve 2x-3 by first off multiplying, then subtracting. Make sure to start with the equations in the parentheses.
Rebecca is playing a video game that involves planting and cutting down trees. She moves up an energy level for each tree she plants, and she moves down a level for each tree she cuts. If Rebecca reaches energy level 10, she will earn bonus points.
Rebecca is currently at energy level 4. The results of her next 3 turns are:
Turn 1: 6 trees cut
Turn 2: 8 trees planted
Turn 3: 1 tree cut
Answer the questions to find out whether Rebecca earned bonus points in the next 3 turns. Use the number line to help you add.
(You can go into the negetives)
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The points she will have using the given inequalities are;
1) After the three turns is; 4 + (-6) + 8 + (-1)
2) After turn one she will have 0 points
3) After turn 2 she will have 8 points
4) After turn 3 she will have 7 points; She will not earn bonus points because she could not reach ten points
How to interpret inequality lines graph?We are told that the rule for Rebecca's movement is that
She moves up an energy level for each tree she plants.
She moves down a level for each tree she cuts.
If she reaches energy level 10, she will earn bonus points.
Now, we are told that she is at level 4.
A) Turn 1 = 6 trees cut
Turn 2 = 8 trees planted
Turn 3 = 1 tree cut.
The expression that represents Rebecca's energy level after the three turns is;
4 + (-6) + 8 + (-1)
B) Rebecca's energy level after the first turn is; 0 points because she cut 6 trees
C) Rebecca's energy level after the second turn is; 8 points because she planted 8 trees
D) Rebecca's energy after turn 3 is; 8 + (-1) = 7
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what is the y and x intercept of 5x-7y= -8
Answers
SOLUTION
Write out the equation given
[tex]5x-7y=-8[/tex]To find y-intercept, we replace x with 0, hence
[tex]\begin{gathered} \text{for x=0} \\ 5(0)-7y=-8 \\ -7y=-8 \\ \text{Divide both sides by -7} \\ -\frac{7y}{-7}=-\frac{8}{-7} \\ \text{Hence } \\ y=\frac{8}{7} \\ \end{gathered}[/tex]Hence
Y - intercept is ( 0, 8/7 )
Similarly, for x-intercept, we replace y with 0 and find x
[tex]\begin{gathered} \text{for y=0} \\ 5x-7(0)=-8 \\ \text{Hence } \\ 5x=-8 \\ \text{Divide both sides by 5, } \\ \frac{5x}{5}=-\frac{8}{5} \\ \text{Hence } \\ x=-\frac{8}{5} \end{gathered}[/tex]Hence
x- intercept is ( - 8/5 , 0 )
help meeeeeeeeeeeeeee pleaseeeeeee
Answers
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]
A direct variation includes the points (6, 18) and (n, -3). Find n.
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Since we have a direct variation, we can use the following equation:
[tex]\frac{y}{x}=k[/tex]where k is the constant of variation.
If we use the point (6,18), then, we have:
[tex]\begin{gathered} (x,y)=(6,18) \\ \Rightarrow\frac{18}{6}=k \\ \Rightarrow k=3 \end{gathered}[/tex]now that we have that the constant of variation is k = 3, we can use this information to find n:
[tex]\begin{gathered} (x,y)=(n,-3) \\ k=3 \\ \Rightarrow-\frac{3}{n}=3 \\ \Rightarrow-3=3\cdot n \\ \Rightarrow n=-\frac{3}{3}=-1 \\ n=-1 \end{gathered}[/tex]therefore, n = -1
The table shows the results of the men’s long jump in a recent Olympics. Use the table for exercises 1-3.
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1. We need to find the distance jumped by the Gold winner, we know that the total distance jumped by three athletes is 25.04, so we can subtract the distances from the Silver and Bronze winners in order to determine what we want. This is done below:
[tex]\begin{gathered} \text{Gold}=25.04-8.37-8.29 \\ \text{Gold}=8.38 \end{gathered}[/tex]Now we need to represent this number as a fraction in its simplest form.
[tex]\text{Gold}=\frac{838}{100}=\frac{419}{50}[/tex]2. In order to determine which medal he would receive, we need to add the distance he actually jumped by 0.06 and compare to the table. We have:
[tex]d=8.25+0.06=8.31[/tex]He would win a Bronze medal.
3. In order to determine how farther Athlete B jumped more than Athlete D, we need to subtract their distances.
[tex]d=8.37-8.11=0.26[/tex]The athlete B jumped 0.26 meters farther than Athlete D.
PLEASE HELP NOW!: QS is a perpendicular bisector.Find the value of x.Find the value of y.
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Since QS is perpendicular:
[tex]\begin{gathered} 4y=90 \\ \text{solve for y:} \\ y=\frac{90}{4} \\ y=22.5 \end{gathered}[/tex]Can you find the slope and type the correct code? Please remember to type in ALL
CAPS with no spaces.
Puzzle #2
1: Find the slope:
X
Y
-1
7002
9339
-9
Your answer
-3
3: Find the slope:
2: Find the slope:
(-1, 5), (2, -7)
4: Find the slope:
X88
88
HI234
Y
1
answer choices
B:
A: ma
C: I
m=
undefined m=6
4
D: - E
m =
3
G:
m=-4
F:
m=3
m=-6
H:
I:
m = 4 m=0
Type the 4-
letter code into
the answer
box. All CAPS,
no spaces.
8000
Answers
Answer:
(-1.5).(2.-7)
Step-by-step explanation:
ECHA. Step-by-step explanation: 1.) E. m = 1/2. 2.) C. y2 - y1/x2 - x1 = m. -4 - (-8)/3 - 1 = m. 8 - 4/3 - 1 = m.
Can someone help? :)
Answers
Answer:
The equation of the line is -1/3x + 4
Step-by-step explanation:
You would do rise over run or use the slope formula
y2-y1/x2-x1=
2-4/6-0 = -2/6 = -1/3
The y-intercept is when the line hits the y-axis so it would be (0,4) or 4
A report card shows that a student earns 21 points on a test with a total of 25 points. What percentage of the total points has the
student earned on the test?
Answers
Answer: The student got an 84%
Step-by-step explanation:
This one is comparatively simple because 25 is a factor of 100,
we just have to multiply each side by 4 so we get 81 out of 100
Cheers!
Rsmbro
If f(1) = 5, which expression could represent f (x)?
A- 3x(2) + 14x + 8
B- 3x(2) - 14x - 8
C- 3x(2) + 10x -8
D- 3x(2) - 10x -8
Answers
If f(1) = 5, then you can find your answer by substituting 1 in for x in all of the options to figure out which one gives you 5 as a result.
A: 3(1)^2 + 14(1) + 8 = 25 ≠ 5 Nope
B: 3(1)^2 - 14(1) - 8 = -19 ≠ 5 Nope
C: 3(1)^2 + 10(1) - 8 = 5 Yup
D: 3(1)^2 - 10(1) - 8 = -15 Nope
Only C fits f(1) = 5.
An online furniture store sells chairs for $150 each and tables for $650 each. Every day, the store can ship at most 16 pieces of furniture and must sell no less than $3900 worth of chairs and tables. If x represents the number of tables sold and y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Using graphical method to solve the system of linear inequalities, the solution are (x, y) 3, 13.
System of Linear InequalitiesA system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.
To solve this, we can write out the equations as
x + y ≤ 16 ...eq(i)
650x + 150y ≥ 3900 ...eq(ii)
Solving both equations with a graph.
Kindly find the attached graph to the problem.
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please check my answer i need help asap!
Answers
Answer:
The answer would be Domain: 6; Range: -8, -2, 0, and 3; so, The answer is B
Step-by-step explanation:
Domain is what x can be, while range is what y can be. We are only given four points: (6, -8), (6, -2), (6, 0), and (6, 3). The only x value to appear is 6, and the only y values to appear are -8, -2, 0, and 3. So, the domain is just 6, and the range is -8, -2, 0, 3
geometry homework.....help me
Answers
Answer:
1. Acute Isosceles Triangle
2. Equiangular Equilateral Triangle
3. Obtuse Scalene Triangle
Step-by-step explanation:
Triangle 1:
It is given that there are two congruent sides. By the definition of an Isosceles Triangle, where at least two or more sides are congruent, it is an Isosceles Triangle.
An acute angle is less than 90 degrees. A right angle is 90 degrees. An obtuse angle is greater than 90 degrees. An equiangular triangle is a triangle whose angles are all of the same measure.
By these definitions, Triangle 1 is an acute Isosceles Triangle.
Triangle 2:
It is given that all three sides are congruent. By the definition of an Equilateral Triangle, where all the sides must be congruent, this is an Equilateral Triangle.
An equilateral triangle is also equiangular. So, Triangle 2 is an equiangular Equilateral Triangle.
Triangle 3:
It is given that none of the sides are congruent. By the definition of a Scalene Triangle, where none of the sides are congruent, this is a Scalene Triangle.
By the angle definitions above, as one of the angles are greater than 90 degrees, this is an obtuse triangle.
So, Triangle 3 is an obtuse Scalene Triangle.
In a right triangle one of the acute angles is 1/4 the size of the other acute angle find the measure of the larger angle
Answers
In a right triangle, there are 2 acute angles and 1 right angle.
Let x be the measure of the larger acute angle, using the triangle sum theorem (that states that the sum of the interior angles of a triangle is 180) we have that:
[tex]\begin{gathered} x+\frac{1}{4}x+90=180 \\ \frac{5}{4}x=180-90 \\ \frac{5}{4}x=90 \\ 5x=360 \\ x=\frac{360}{5} \\ x=72 \end{gathered}[/tex]The larger acute angle measures 72°.
Sarina's piano teacher gave her a large candy bar. One serving has amass of 39 grams. The candy bar has 2 and 1/2 servings. What is the mass of thewhole candy bar?
Answers
We are told that Sarina's piano teacher gave her a large candy bar
The candy bar has 2 and 1/2 servings and one serving has a mass of 39 grams.
We wsnt to determine the mass of the whole candy bar.
The mass of the candy bar can be found to be equal to;
Therefore, we get the mass of the candy bar as;
[tex]2\frac{1}{2}\times39=\frac{5}{2}\times39=97.5[/tex]Therefore, the mass of the candy bar is 97.5 grams