Answer: Ask the king to draw first and read it. Explain that if the king selects "leave" the PM's choice could only be "stay". It is then unnecessary for the PM to draw. It avoids embarrassing the king in his lie, demonstrates the PM's intelligence, and keeps his job.
Step-by-step explanation:
Ou are taking a multiple-choice test that has 4 questions. Each of the questions has 3 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions?
Answer:
In 256 ways
Step-by-step explanation:
The number of answer choices will be; 4 * 3 = 12 answer choices
Okay, so per question we have 4 choices
The number of ways we can answer the first question is 4 ways since there are 4 choices
For the second question, 4 ways also
For the third 4 ways
And for the last question, four ways too
So the number of ways to correctly answer the question will be ;
4 * 4 * 4 * 4 = 256 ways
Write an equation expressing the volume of the box made by paper x by 16 from which a square with side length 2 is cut from each corner and the sides of a box will are folded as shown.
Answer: V = 24*(x - 4) with the condition x > 4.
Step-by-step explanation:
The volme of a cube/box is equal to:
V = W*L*H
where W = width, L = lenght and H = heigth.
First:
We know that the cubes cut in the corner have a side length of 2.
Then the remaining part is folded up, and this is now the height.
So the height of the box is equal to 2.
Now, we know that the initial measures of the piece of paper are x by 16
But now, in each extreme, we subtracted 2 units, that are now the new heiht, so now the piece of paper is (x -2 -2) by (16 -2 - 2)
or (x - 4) by 12.
Then the volume of the box is:
V = (x -4)*12*2 = 24*(x -4)
Notice something, if x is equal or smaller than 4, then we have a negative volume or a volume equal to zero. Those are problems in our model, so we should use the condition x > 4.
plz help me .................
the price of a jacket was slashed from RS 960 to RS 816 .then the rate of discount offered is 10 percentage
Answer:
15%
Step-by-step explanation:
Question:
The price of a jacket was slashed from Rs.960 to Rs.816.Then the rate of discount offered is
Solution
Original price= Rs.960
Discount price= Rs.816
Difference in price=Original price - discount price
=Rs. 960 - Rs. 816
=Rs. 144
Percentage discount= Difference in price / Original price × 100
=Rs. 144 / Rs. 960 × 100
=0.15 × 100
=15%
The percentage discount =15% NOT 10% as you have written
On a piece of paper, graph y> -x+ 2. Then determine which answer matches
the graph you drew.
Answer:
Step-by-step explanation:
y> -x+ 2.
The graph of the inequality y > -x + 2 is shown below.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
The given inequality is,
y > -x + 2.
To determine which of the graph is correct,
Plot the graph of the given inequality,
The graph of the inequality is shown below.
To know more about Inequality on:
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The two-way table shows the distribution of gender to favorite film genre for the senior class at Mt. Rose High School.
Which statement is true?
The probability of randomly selecting a student who has a favorite genre of drama and is also female is about 17 percent.
Event F for female and event D for drama are independent events.
The probability of randomly selecting a male student, given that his favorite genre is horror, is
16/40
.
Event M for male and event A for action are independent events.
Answer:
The second statement is correct
Step-by-step explanation:
Hello!
The table shows the information of the favorite film genre of the students of the class regarding their gender.
You have to prove which statement is correct:
1)The probability of randomly selecting a student who has a favorite genre of drama and is also female is about 17 percent.
If you chose a student at random, you need to calculate the probability of its favorite genre being "Drama" (D) and the student being female (F), symbolically: P(D∩F)
To do so you have to divide the number of observed students that are female and like drama by the total number of students:
P(D∩F)= [tex]\frac{24}{240}= \frac{1}{10} =0.10[/tex]
This means that the probability of choosing a student at random and it being a female that likes drama is 10%.
This statement is incorrect.
2) Event F for female and event D for drama are independent events.
Two events are independent when the occurrence of one of them doesn't affect the probability of occurrence of the other one.
So if F and D are independent then:
P(F)= P(F|D)
-or-
P(D)=P(D|F)
The probability of the event "Female" is equal to [tex]P(F)= \frac{Total females in the class}{n} = \frac{144}{240} = \frac{3}{5}= 0.6[/tex]
The probability of the event "Drama" is:
[tex]P(D)= \frac{Total students that like "Drama"}{n}= \frac{40}{240}= \frac{1}{6}= 0.166[/tex]
[tex]P(F|D)= \frac{P(FnD)}{P(D)}= \frac{\frac{1}{10} }{\frac{1}{6} }= \frac{3}{5} = 0.6[/tex]
As you can see P(F)= 0.6 and P(F|D)= 0.6 so both events are independent.
This statement is correct.
3) The probability of randomly selecting a male student, given that his favorite genre is horror, is 16/40
This is a conditional probability, you already know that the student likes horror movies (H), and out of that group you want to know the probability of the student being male (M):
[tex]P(M|H)= \frac{number of male students that like horror movies}{total students that like horror movies}= \frac{16}{38}= \frac{8}{19} = 0.42[/tex]
This statement is incorrect.
4) Event M for male and event A for action are independent events.
Same as the second statement, if the events "Male" and "Action" are independent then:
P(M)= P(M|A)
-or-
P(A)= P(A|M)
[tex]P(M)= \frac{96}{240}= \frac{2}{5}= 0.4[/tex]
[tex]P(A)= \frac{72}{240} =\frac{3}{10}= 0.3[/tex]
[tex]P(AnM)= \frac{28}{240}= \frac{7}{60}= 0.11666[/tex]
[tex]P(M|A)= \frac{P(MnA)}{P(A)}= \frac{\frac{7}{60} }{\frac{3}{10} } = \frac{7}{18}= 0.3888[/tex]
[tex]P(M)= \frac{2}{5}[/tex] and [tex]P(M|A)= \frac{7}{18}[/tex]
P(M)≠ P(M|A) the events are not independent.
This statement is incorrect.
I hope this helps!
using the grapgh on the right which point below is the vertex
Answer:
its D
Step-by-step explanation:
a vertex is the highest point and that's the only point that actually exist in the graph....Hope that helps...
Point P' is the image of P(3, 5) under a reflection across the y-axis. What are the coordinates of P'?
Answer:
hope this helps :)
Step-by-step explanation:
.......
y=8-2x. What is the value of y when x = 8?
Answer:
y = -8
Step-by-step explanation:
Start by filling 8 in place of x
y = 8 - 2(8)
Multiply -2(8)
y = 8 - 16
Subtract 16 from 8
y = -8
How can systems of linear equations with two variables be solved using algebraic methods?
Answer: The systems are solved by solving for one variable in one of the equations, then substituting that equation into the second equation. Solve for a in the second equation, then substitute the second equation into the first. The Elimination Method: Both equations are in standard form: Ax + By = C.
Solve by the quadratic formula: 3x2 - 4x + 1 =0
Answer:
x=1.75
Step-by-step explanation:
3*2-4x+1=0 subtract 1 from both sides
3*2-4x=-1 multiply 3 and 2
6-4x=-1 Subtract 6 from both sides
-4x=-7 divide both sides by -4
x=1.75
If this helped, please consider giving me brainliest, it will help a lot :)
Have a good day
A right triangle has legs of 5 ft and 6 ft. What is the length of the hypotenuse? _____ ft. A. 7.8 B. 3.3 C. 11.0 D. 1.0
Answer:
7.8Option A is the correct option.
Step-by-step explanation:
Base (b) = 5 ft
Perpendicular (P) = 6 ft
Hypotenuse (h) = ?
Now,
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex] {h}^{2} = {(6)}^{2} + {(5)}^{2} [/tex]
[tex] {h}^{2} = 36 + 25[/tex]
[tex] {h}^{2} = 61[/tex]
[tex]h = \sqrt{61} [/tex]
[tex]h = 7.8 \: ft[/tex]
Hope this helps...
Good luck on your assignment
Answer:
a. 7.8
Step-by-step explanation:
Find the 9th term geometric sequence 1,1/2,1/2^2
Answer: [tex]t_9=\dfrac{1}{2^8}[/tex]
Step-by-step explanation:
[tex]t_n=t_1\times r^{n-1}\\\\Given: t_1=1,\quad r=\dfrac{1}{2}\\\\\\t_9=1\times\bigg(\dfrac{1}{2}\bigg)^{9-1}\\\\\\.\quad =\large\boxed{\dfrac{1}{2^8}}[/tex]
Sadie simplified the expression √54a^7b^3, where a>=0, as shown: √54a^7b^3= √3^2•6•a^2•a^5•b^2•b=3ab √6a^5b
Answer:
We are to find the error made by Sadie and then find the correct simplification.
The error Sadie made is that she wrote [tex]a^7[/tex] as [tex]a^2 * a^5[/tex] instead of [tex]a^6 * a[/tex].
The square root of [tex]a^6[/tex] is [tex]a^3[/tex] and so she could have further simplified.
The correct simplification is shown below:
[tex]\sqrt{54a^7b^3} = \sqrt{2 * 3 * 3 * 3 * a^6 * a * b^2 * b} \\ \\= \sqrt{3^2 * a^6 * b^2 * 6 * a * b} \\\\= 3a^3b\sqrt{6ab}[/tex]
Answer:
We are to find the error made by Sadie and then find the correct simplification.
The error Sadie made is that she wrote as instead of .
The square root of is and so she could have further simplified.
Step-by-step explanation:
On edge2021
lcm of b square and b cube is
Answer:
HCF is b since we take the least value. That's it. When the two numbers have same base, the LCM will be the base with greater power. So the answer is LCM = b^2
HOPE THIS HELPS AND PLS MARK AS BRAINLIEST
THNXX :)
HCF is b since we take the least value. That's it. When the two numbers have same base, the LCM will be the base with greater power. So the answer is LCM = b^2.
just a few questions pls!!!!!!
Which of the following possibilities will form a triangle?
Side = 13 cm, side = 6 cm, side = 6 cm Side = 13 cm, side = 5 cm, side = 8 cm Side = 14 cm, side = 7 cm, side = 6 cm Side = 14 cm, side = 6 cm, side = 9 cm
Wendy described four triangles as shown below:
Triangle A: All sides have length 9 cm. Triangle B: Two sides have length 10 cm, and the included angle measures 60°. Triangle C: Two angles measure 50°. Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle? Triangle A Triangle B Triangle C Triangle D
Victor wrote the following statement: "You can only draw one unique isosceles triangle that contains an angle of 85°." Which statement is true?
Victor is correct, because only one unique triangle can be drawn with the given information.
Victor is incorrect, because more than one triangle can be drawn with the given information.
Victor is incorrect, because the triangle described cannot be drawn with the given information.
None of the above.
Answer:
First question: last option
The triangle inequality states that the sum of he two shortest sides of a triangle must be greater than the longest side, therefore the answer is 14, 6, and 9 because 6 + 9 > 14 is a true statement.
Second question: I'm not sure, sorry
Third question: second option
He never specified if 85° was the base angle or not so he could draw 2 triangles: one with 85° as the base angles and one with 85° as the other angle.
Answer:
Step-by-step explanation:
first : Side = 13 cm, side = 6 cm, side =6
second : Side = 13 cm and 5 and 8
third: Side = 14 cm, side = 7 cm and 6
forth : 14 cm, side = 6 cm, side = 9 cm
to form a triangle the theory is: a+b>c and b+c>a and a+c>b
first one : a=13 b=6 and c=6 ( not a triangle)
second: a=13 b=5 and c=8 ( not a triangle)
third : a=14,b=7,c=6 (not a triangle)
forth : a=14,b=6,c=9 ( a triangle 14+6>9,6+9>14, and 9+14>6)
Wendy description :Triangle A: All sides have length 9 cm.
Triangle B: Two sides have length 10 cm, and the included angle measures 60°
Triangle C: Two angles measure 50°.
Triangle D: Base has length 8 cm, and base angles measure 45°
triangle A is equilateral triangle all sides are equal it is a special triangle because it has three sides and angles equal.
Triangle C: is not unique because you can not specify triangles by given angles only
Victor is incorrect, because more than one triangle can be drawn with the given information because only two sides are given and the third con be different.
Please help me.. please
Hey there! :)
Answer:
$10 balcony
$15 orchestra
Step-by-step explanation:
We can solve for the prices of each seat by creating an algebraic expression:
Let 'x' be the cost of a balcony seat:
and 'x + 5' be the cost of an orchestra seat.
200 of both seats were sold, therefore:
200(x) + 200(x + 5) = 5000
Distribute:
200x + 200x + 1000 = 5000
Combine like terms:
400x + 1000 = 5000
Subtract 1000 from both sides:
400x = 4000
Divide:
x = $10 for the balcony seat.
Substitute this value of x to solve for the cost of an orchestra seat:
(10) + 5 = $15.
Therefore:
$10 balcony
$15 orchestra
A man is 26 years older than his son. He is also 8 years older than three times his son’s age. Find the son’s age. A. 9 years B.10 years C. 12 years D. 14 years
Answer:
9 years
Step-by-step explanation:
hope it helps the
the explanation is kinda long
1.
solve the
following
simultaneous equations graphically.
y = 8-x
y=x-2
Answer:
(5,3)
Step-by-step explanation:
Well to solve the following,
y = 8 - x
y = x - 2
Graphically.
We need to graph both equations,
Look at the image below ↓
By looking at the graph we can tell the intercept point is at (5,3).
Thus,
the solution is (5,3).
Hope this helps :)
What is the standard deviation of the data set given below?
4, 7, 8, 9, 12
O A. -2.5
O B. 18.5
O c. 6.8
O D. 76.8
E. 2.5
O F. 8.5
Answer:
The answer is 2.6 but that's not listed as an option so try 2.5?
Do,2 of Y is:
(5, 4)
(6,4)
(3/2,1)
Answer:
(6,4)
Step-by-step explanation:
This question asks you to dilate by a factor of 2, and from the origin. Because it is from the origin, we can simply multiply the coordinates of Y by 2
3*2=6
2*2=4
so the result is 6,4
The dilation of the coordinate Y(3, 2) by 2 is (6, 4). we just have to multiply the y coordinate by 2.
What is dilation?Dilation simply means changing the size of an object without changing its shape.
In other words dilation is a transformation that reudces or enlarges a particular shape.
Therefore, we are asked to dilate the coordinate of y by 2.
Hence, we have to multiply the coordinates of y by 2 to get the new dilated figure.
Dilation of Y by 2 is 2(3, 2) = (6, 4)
learn more on dilation here: https://brainly.com/question/10222082
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Hello!! Plz ans with explanation.. Plz!! I need it ASAP!!! PLZ TYSM
Faaast!!
Answer:
1/4
1/2
3/4
Step-by-step explanation:
Given:
Types of colors in the spinner
Yellow 1
Red 2
Blue 1
Total:4
Successful outcome of Yellow:1
Successful outcome of Red:2
Successful outcome of Blue:1
Required:
Probability of the
blue sectorred sectornot on yellow sectorFormula:
Probability= successful outcome ÷ possible outcome
Solution
Blue sectorProbability=1 ÷ 4
Red sectorProbability= 2÷4
not on yellow sectorProbability= 3÷4
Hope this helps ;) ❤❤❤
What is the equation of the line that passes through (–2, –3) and is perpendicular to 2x – 3y = 6?
Answer:
[tex]y=-\frac{3}{2}x-6[/tex]
Step-by-step explanation:
Since the line needs to be perpendicular to [tex]2x-3y=6[/tex], that means the slope of the line must be the opposite reciprocal. Rearrange the equation [tex]2x-3y=6[/tex] to solve for the value of y, with variable y on the left side.
[tex]-3y=-2x+6\\y=\frac{2}{3} x-2[/tex]
So, the slope of the line given already is [tex]\frac{2}{3}[/tex]. The opposite reciprocal of this is [tex]-\frac{3}{2}[/tex].
From what information we know so far (the slope) about the equation of the line we are trying to find, we can write a basic equation that allows us to solve for the y-intercept. Use the equation [tex]y=mx+b[/tex], where m is the slope (which we already found) and b is the y-intercept.
[tex]y=-\frac{3}{2}x+b[/tex]
Since we are given a set of coordinate points that the line must pass through, we can substitute (-2, -3) in for x and y in the equation above. Then, solve for the value of b, which is our y-intercept.
[tex]-3=-\frac{3}{2}(-2)+b\\ -3=3+b\\b=-6[/tex]
Now we have all the necessary information to create our equation.
[tex]y=-\frac{3}{2}x-6[/tex]
Answer: A.
explanation:just did the test
a fish tank is : 16 in
Height : 10 in
Width : 8 in how many gallons is it ? NEED HELP ASAP
Answer:
5.541 gallons
Step-by-step explanation:
The fish tank is 1280 cubic inches, which equates to 5.541 US liquid gallons.
Answer:
5.54 gallons (aprox.)
Step-by-step explanation:
volume = 16in * 10in * 8in
volume = 1280in³
Convert cubic inch to gallons is:
1 inch³ = 0.004329 gallon
then:
1280in³ = 1280*0.004329 = 5.54 gallons (aprox.)
On an uphill hike Ted climbs at 3mph. Going back down, he runs at 5mph. If it takes him forty minutes longer to climb up than run down, then what is the length of the hike? if possible, I would like a clear equation.
Answer:
He hiked 10 miles.
Step-by-step explanation:
rate x time = distance
The distance up and the distance down are equal
3 mi/1 hr x (h hours + 2/3 hr) = 5 mi/1 hr x h hours
3h + 2 = 5h
2 = 2h
h = 1 hour
3mi/hr x 1 2/3 hr = 5 miles
5 mi/hr x 1 hr = 5 miles
Please answer answer question answer
Answer:
346.38022
Step-by-step explanation:
Using Law of Sines, we know that v=50
[tex]\frac{34}{sin(36)}=\frac{x}{sin(24)}[/tex]
Area = ab·sin(C) /2
[34x50xsin(24)]/2
=346.38022
Answer:
i think he/she is right
Step-by-step explanation:
A student in a statistics class asks students in a long lunch line about their opinions about the school cafeteria. The sample that results is most likely __________________.
A. quota
B. symmetric
C. large
D. biased
Answer:
The correct option is;
D. Biased
Step-by-step explanation:
A sampling method in which the members of the sample are not representative of the population, such that some members of the population have a higher or lower probability within the sample which is indicative that not all members of the population are sampled
A biased sample is a non random sample and the can lead to misleading data conclusion
In the question, the sampling of student opinion about the school cafeteria among students who are on the lunch line and so prefer the school cafeteria leaves out the portion of the population that get their lunch from alternative sources.
Answer:
biased
Step-by-step explanation:
PLEASE ANSWER FAST.What is the probability that only girls bought lunches? 25% 41.6% 75% 50%
Answer:
The correct answer is 50.6195
Step-by-step explanation:
The probability that only girls bought lunches is given as D. 50%
How to solve
To find the probability that only girls bought lunches, we solve:
We can see that the total number of girls is 30 and the total number of both boys and girls is 60
So, to solve, it becomes:
30/60= 50%
Probability is a mathematical concept used to measure the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain), and is calculated using ratios, frequencies, or subjective judgments.
Read more about probability here:
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Ahmed earns $1.50 for every video game he sells. When he sells one carton of 30 video game, he earns an additional $10. What is the minimum number of video games he has to sell in order to earn $450?
Answer:
Step-by-step explanation:
1.50x + 10[x/30] >= 450
x >= 246.3
check:
1.50*246 + 10*8 = 449
$450
Help please! Thanks
Answer:
E. 0
Step-by-step explanation:
There isn't any guarantee that there are any people that have their birthdays in the same month based on what you're given, so your answer would be 0.
Price elasticity of demand for tomatoes is 1.30. If hail storm adversely affects the nation’s production of tomatoes what will be the impact on total revenue from tomatoes and why?
Answer:
The total revenue will decrease.
Step-by-step explanation:
The price elasticity of demand is 1.30 that shows that change in the quantity of tomatoes is greater than the change in the price of tomatoes. The hail storm will decrease the quantity (supply) of tomatoes. However, this decrease in supply will increase the price but the ratio of change in quantity will be more than the ratio of change in price. Thus, total revenue from tomatoes will also fall.