Answer:
[tex]\pi (\frac{diameter}{2} )^{2}[/tex]
Step-by-step explanation:
The formula is pretty similar to the standard equation, π·r², since the diameter is just the radius times two.
Hope that helps! :)
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 1 2 3 4
The generalization of the weighted average is the expected value of a distribution. The score that is most likely to occur is 3.
How to find the mean (expectation)?The generalization of the weighted average is the expected value of a Probability distribution. It is given by the formula,
[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i[/tex]
As we need to calculate the score that is most likely to occur, therefore, we need to calculate the expected value of the given probability distribution, therefore, the expected value can be written as,
[tex]E(x) = \sum xP[/tex]
where x is the score and P is the probability of the score occurring.
[tex]E(x) = (1 \times 0.06)+(2 \times0.20)+(3 \times 0.48)+(4 \times 26)\\\\E(x) = 2.94[/tex]
Since 2.94 is the most expected value to occur which is close to 3, therefore, the score that is most likely to occur is 3.
Also, the probability of score 3 coming is maximum which is equal to 0.48.
Hence, the score that is most likely to occur is 3.
Learn more about Expectation:
https://brainly.com/question/4515179
Answer:c
Step-by-step explanation: just took the test
If a coin is flipped 5 times and heads comes up 2 times, what is the relative frequency of heads coming up?
Answer:
0.40 is your answer
Step-by-step explanation:
0 .40 is your answer
Can someone please help??? I can’t figure this out. Pleaseeee
Answer:
120°=1
Step-by-step explanation:
step 1 do 2/1
step 2 cut braket and ans will be 53
-
Find the equation of the line that
is perpendicular to y = -2x - 9 and
contains the point (8, -4).
Answer:
[tex]y=\frac{1}{2} x-8[/tex]
Step-by-step explanation:
The final answer is in the slope-intercept form, which is y=mx +c, where m is the slope and c is the y-intercept.
The slope of a perpendicular line is the negative reciprocal of the slope of the given line (the line it is perpendicular to). Thus, let's find the slope of the given line first.
Given line: y= -2x -9
The above equation is already in the slope-intercept from and thus, the slope is the coefficient of x.
Slope of given line= -2
The coefficient is the number that comes before a variable and it includes the positive or negative sign, which explains why the slope of the given line is -2 instead of 2.
Slope of perpendicular line= [tex]\frac{1}{2}[/tex]
Substitute the value of the slope into the equation:
[tex]y=\frac{1}{2} x+c[/tex]
To find the value of c, substitute a pair of coordiantes the line passes through.
When x= 8, y= -4,
[tex]-4=\frac{1}{2}(8)+c[/tex]
-4= 4 +c
c= -4 -4
c= -8
Thus, the equation of the perpendicular line is [tex]\bf{y=\frac{1}{2} x-8}[/tex].
What is reciprocal?
The reciprocal of a number is 1 divided by that numberFor example, the reciprocal of 2 is [tex]\frac{1}{2}[/tex]In this question, we are interested in negative reciprocal. This means that if the slope of the given line is m, the slope of the perpendicular line is [tex]-\frac{1}{m}[/tex].3x - 12y = 6
x - 4y = 2
solve by elimination
3x-12y=6
x-4y=3--(1)x-4y=2--(2)Lets convert to slope intercept form
4y=x-34y=x-2Slopes are equal so lines are parallel
Hence no solutions
4 9/10 X 1/4. {State your answer as a mixed number in simplest form.} State your answer as a mixed number in simplest form
Answer:
1 9/40
Step by step explanation:
\frac{49}{40}=1\frac{9}{40}
Solve 58 - 10x< 20 + 9x.
-
O A. x2
O B. Xs2
O c. xs-2
O D. x2-2
I am not sure what you are asking by the options provided as the formatting has been messed up, but if you simplify the given equation you end up with:
x > 2
Step-by-step explanation:
Given
58 - 10x< 20 + 9x
Add 10x to both sides of the equatoin
58 < 20 + 19x
Subtract 20 from both sides of the equatoin
38 < 19x
2 < x
x > 2
a shopkeeper selling an article at discount of 20% looses rs 400 if he allow 10% discount he gains rs 200 find the marked price and the cost price of the article
Answer:700
Step-by-step explanation:
Let the M.P of the article be x .
A discount of 20% was given on the M.P .
So the selling price of the article ( S.P ) will be M.P - Discount .
Discount = 20 % of x
⇒ Discount = 20/100 of x
⇒ Discount = 1/5 × x
⇒ Discount = x/5
Now S.P = M.P - Discount .
⇒ S.P = x - x/5
⇒ S.P = ( 5 x - x ) / 5
⇒ S.P = 4 x / 5
The shopkeeper loses Rs 200 .
Loss = C.P - S.P
⇒ C.P = Loss + S.P
⇒ C.P = 200 + 4 x / 5
⇒ C.P = ( 1000 + 4 x )/5
Now if he allows 10 % discount then the gain is Rs 150 .
Gain = S.P - C.P
⇒ S.P = Gain + C.P
⇒ S.P = 150 + ( 1000 + 4 x )/5
⇒ S.P = ( 750 + 1000 + 4 x )/5
⇒ S.P = ( 1750 + 4 x )/5
Discount = 10 % of x .
⇒ Discount = 10/100 × x
⇒ Discount = x/10
S.P = M.P - Discount
⇒ ( 1750 + 4 x )/5 = x - x/10
⇒ ( 1750 + 4 x )/5 = 9 x / 10
⇒ 1750 + 4 x = 9 x / 2
⇒ 3500 + 4 x = 9 x
⇒ 9 x - 4 x = 3500
⇒ 5 x = 3500
⇒ x = 3500/5
⇒ x = 700
Cora watched 30 movies for a combined total of 55 hours over her last summer break. Some of the movies were 1.5 hours long, and others were 2.5 hours long.
How many of Cora's movies were 2.5 hours long?
The number of movies that are 2.5 hours long that Cora watched is 10 hours.
What are the linear equations that represent this question?a + b = 30 equation 1
1.5a + 2.5b = 55 equation 2
Where:
a = movies that are 1.5 hours long
b = movies that are 2.5 hours long
How many movies are 2.5 hours long?Multiply equation 1 by 1.5
1.5a + 1.5b = 45 equation 3
Subtract equation 3 from 2
1b = 10 hours
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
Having difficulty finding the correct explanation for the boxes.
Answer:
agree - the central angle is 360°/nagree - a hexagon has 6 degrees of rotational symmetryagree - the altitude is r×cos(180°/n)Step-by-step explanation:
a)Agree. All radii of a circle are the same length, so any triangle drawn from the center of a circle to points on the circle will be an isosceles triangle. By definition, all interior angles and all side lengths of a regular polygon are congruent. So, an n-sided regular polygon inscribed in a circle can be divided into n non-overlapping congruent isosceles triangles. That means the central angle is 360°/n, a value found based on the rotational symmetry of the figure.
__
b)Agree. See the explanation in part (a). A regular hexagon has six congruent sides. Each of those can form the base of an isosceles triangle. Hence, the hexagon can be decomposed into 6 congruent isosceles triangles.
__
c)Agree. The altitude divides each of the isosceles triangles of parts (a) and (b) into two congruent right triangles. The length of the altitude can be found as the product of the radius of the circle and the cosine of half the central angle of the isosceles triangle. That is, trigonometry can be used to find the altitude.
The altitude (apothem of the polygon) is ...
a = r·cos(180°/n)
_____
Additional comment
A "correct" explanation is one that makes sense to you and your grader. The explanation you read here may not be "correct" in that sense. YMMV
Nil and Ethan are brothers. They left their home at the same time and drove to the same beach. Nil drove at a speed of 30 miles per hour. Ethan drove at a speed of 20 miles per hour. Nil arrived at the beach 0.5 hour earlier than Ethan. What is the distance between their home and the beach?
Answer:
10 miles
Step-by-step explanation:
Ethan drove at a speed of 20 miles per hour. Nil arrived at the beach 0.5 hour earlier than Ethan. What is the distance between their home and the beach? Every hour, Nil gets ahead of Ethan 30 - 20 = 10 miles.
White gold is made from gold, palladium, nickel and zinc in the ratio 15:2:2:1. A white gold ring contains 9g of gold. What is the mass of the ring?
Answer:
The mass of the ring is 12 grams.
Step-by-step explanation:
Total 20 parts
Gold 3/4 total mass (15/20)
3/4=9g
1/4=3g
4/4=12g
Answer:
mass of the ring = 12 g
Step-by-step explanation:
Given ratio
gold : palladium : nickel : zinc = 15 : 2 : 2 : 1
Add the ratios: 15 + 2 + 2 + 1 = 20
Therefore, as a fraction, gold is [tex]\sf \dfrac{15}{20}=\dfrac34[/tex] of the total mass of the ring.
Let the mass of the ring = x
As the ring containts 9 g of gold
[tex]\sf \implies \dfrac34x=9[/tex]
[tex]\sf \implies x=9 \cdot \dfrac43[/tex]
[tex]\sf \implies x=12[/tex]
Therefore, the mass of the ring is 12 g
comprising 9 g of gold, 1.2 g of palladium, 1.2 g of nickel and 0.6 g of zinc.
Helpp me with my sister's math
Answer:
the 1/2w +22 one is a binomial
Step-by-step explanation:
a binomial is a equation with one two separate numbers AFTER simplifcation. so "1+1" is not a binomial because its equal to just 2, but "1 + x" is a binomial because its simplifed
For the rotation 379°, find the coterminal angle from 0 <0 360°, the quadrant
and the reference angle,
To find the coterminal angle, it is similar to going around the entire circle once and then a bit more.
379 - 360 = 19
Coterminal Angle = 19 degrees
---All the way around and a bit more
Quadrant = 1
---Where the angle is
Reference Angle = 19 degrees
---Distance between the x-axis and the angle
Hope this helps!
9 and 12 are relatively prime.
True or false
Answer:
False.
Step-by-step explanation:
Because 12 and 9 are both multiples of 3.
Answer please!!!
Best answer gets brainliest!!!
Answer:
8
Step-by-step explanation:
hope this is right????
im not sure if i did it correctly but i tryed
3x+2x+6v-9g+hd+2v-1g
Answer:
5x+8x-10g+hd
Step-by-step explanation:
please mark me as brainlest
Hey there!
3x + 2x + 6v - 9g + hd + 2v - 1g
= 3x + 2x + 6v - 9g + 1hd + 2v - 1g
COMBINE the LIKE TERMS
= (3x + 2x) + (6v + 2v) - (9g - 1g) + (1hd)
= 3x + 2x + 6v + 2v - 9g - 1g + 1hd
= 5x + 7v - 10g + 1hd
= 5x + 7v - 10g + hd
= hd - 10g + 8v + 5x
Therefore, your answer is:
hd - 10g + 8v + 5x
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Solve the system of equations below. Thankyou!
Answer:
x = - 9
y = 5
Step-by-step explanation:
EQ1 + EQ2
Substitute the value of X in either EQ1 or EQ2
Can you please help me quickly!!
Answer:
to struggle to succeed when chances are bad
Step-by-step explanation:
She got nervous and froze when she thought she was going to lose.
Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?
Answer:
Hope this helps!!!!!!
Mark Brainlest!!!!!!!!!!
Step-by-step explanation:
Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?
Ratio = 1 : 3
Let Mark's share be 1x = x
and Henry's share be 3x
We know that Mark gets £9
So,
1x = x = £9
Then 3x = £(3 * 9) = £27
HENCE,
Mark's share = £9
Henry's share = £27
Total money = Mark's share + Henry's share = £9 + £27 = £36
Answer:
£27
Step-by-step explanation:
so it shows mark is 1 while Henry is 3
we know that Mark is 1/4 while Henry is 3/4
/4 because the total is 4 so whatever their ratio is over their total
so we do: 1 = 9
3 = ?
and then u cross multiply
3*9 = 27 ÷ 1 = 27
so Henry receives £27
1 doller bill and a 10 doller bill and for quarters makes what?
Answer:
12$
Step-by-step explanation:
1 plus 10 from the singular dollar bill and the 10 dollar bill now we have 11 then we add one because there are 4 quarters which are 1 dollar that is why we have 12 dollars
In this figure, ∠1 and ∠2 are located on a line.
Let m∠1=x° and m∠2=(45x)°.
What is the value of x?
Enter your answer in the box.
Answer:
Your answer would be 100
Step-by-step explanation:
4/5 of 100 is 80, 100 and 80 add up to 180, which makes it a supplementary angle, we know it is a supplementary angle because the figure has a line, so x = 100
ILL GIVE BRAINLIST THING IF YOU HELP PLEASE QUICK
Answer:
B and C are wrong
B: 7.89 x 10^-4
C: 3.15 x 10^2
Step-by-step explanation:
B is not written correctly. The purpose of scientific notation is to get rid of the decimal places with 0s. So instead of 0.789, it should be 7.89 x 10^-4
C is wrong, it should be 3.15 x 10^2
six hundred kilograms of tea were packed in 500 g packets. how many packets of tea were there?
Answer:
1200
Step-by-step explanation:
600 in grams = 600 x 1000
= 6 x 10^5
(6 x 10^5) / 500 = 1200.
Answer:
1200 packets
Step-by-step explanation:
1 kg = 1000 gram
600 kg = 1000 × 600 = 600,000
now,
packets of tea were ( 600000 ÷ 1000) = 1200 packets
Convert 30% to a fraction in lowest terms
Answer:
3/10
Step-by-step explanation:
Hope this helped
A manager drew this box-and-whisker plot to represent the number of minutes each of the company's 360 employees took on their break.
How many employees took a break that lasted between 37 and 41 minutes?
Select from the drop-down menu to correctly complete the statement.
Given the box-and-whisker plot, the number of employees that took a break that lasted between 37 - 41 minutes is: 180.
What is a Box-and-whisker Plot?A box-and-whisker plot is a graphical representation of a data set showing how the data set is distributed into percentiles such as 25%, 50%, and 75%.
The range of the rectangular box covers 50% of the data set.
Thus, 37 - 41 minutes lies between 50% on the box-and-whisker plot, therefore:
50/100 × 360 = 180 employees.
In summary, given the box-and-whisker plot, the number of employees that took a break that lasted between 37 - 41 minutes is: 180.
Learn more about box-and-whisker plot on:
https://brainly.com/question/3473797
Answer:
The answer is 90
Step-by-step explanation:
Its not 180 I take k12 also.
Joel has 24 sports trophies. Of the trophies 1/8 are soccer trophies. How many soccer does Joel have ?
Answer:
We are given that Joel has 24 sports trophies, of the 24 trophies there are 1/8 soccer trophies.
1/8 of 24 is 3.
24 divided by 8 = 3 soccer trophies
There are 3 soccer trophies all the rest of the trophies, which is 21 trophies, will be other sports. 21 trophies + 3 soccer trophies = 24 trophies in total
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Evaluate the function for the given value of x.
Answer:
f(-6)= -41 923
Step-by-step explanation:
f(-6)= -( -6)⁶ +5(-6)⁴+8(-6)³+2(-6) -7 you substitute x with -6 the you use a calculator which will then give you - 41923
How many solutions are there for the quadratic equation?
Y=x^2+12x+36
Show work
Answer:
1 solution
x = -6Explanation:
[tex]\rightarrow \sf y=x^2+12x+36[/tex]
[tex]\rightarrow \sf x^2+12x+36=0[/tex]
[tex]\rightarrow \sf x^2+6x+6x+36=0[/tex]
[tex]\rightarrow \sf x(x+6)+6(x+6)=0[/tex]
[tex]\rightarrow \sf (x+6)(x+6)=0[/tex]
[tex]\rightarrow \sf x=-6[/tex]
Hence there is only one solution for this quadratic equation and the value is -6
[tex]\\ \rm\rightarrowtail x^2+12x+36=0[/tex]
[tex]\\ \rm\rightarrowtail x^2+6x+6x+36=0[/tex]
[tex]\\ \rm\rightarrowtail (x+6)(x+6)=0[/tex]
Only one solution present
x=-6
Concrete truck loaded with concrete was about 30 tons about how many pounds does the loaded concrete truck weigh
Answer:
30 tons of concrete
There are 2000 pounds in 1 ton
So 2000 pounds * 30 tons
30 * 2000 = 60000
60,000 pounds