A fair coin is tossed 3 consecutive times. What is the probability that the result of the first toss is heads and the results of the next two are tails?
A: 1/8
B: 1/6
C: 1/2
D: 1/4

Answer:

Step-by-step explanation:

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.

__

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.

__

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

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!

3x-12y=6

Lets convert to slope intercept form

Slopes are equal so lines are parallel

Hence no solutions

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

Answer: the answer is

Step-by-step explanation:

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:)

Answer:

3/10

Step-by-step explanation:

Hope this helped

Answer:

30 tons of concrete

There are 2000 pounds in 1 ton

So 2000 pounds * 30 tons

30 * 2000 = 60000

60,000 pounds

     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

The number of movies that are 2.5 hours long that Cora watched is 10 hours.

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

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

Answer:

False.

Step-by-step explanation:

Because 12 and 9 are both multiples of 3.

Answer:

0.40 is your answer

Step-by-step explanation:

0 .40 is your answer

Answer:

120°=1

Step-by-step explanation:

step 1 do 2/1

step 2 cut braket and ans will be 53

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.

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

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

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

Answer:

1 solution

Explanation:

[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

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.

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

The generalization of the weighted average is the expected value of a distribution. The score that is most likely to occur is 3.

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

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?

Answer:

8

Step-by-step explanation:

hope this is right????

im not sure if i did it correctly but i tryed

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

Answer:

x = - 9

y = 5

Step-by-step explanation:

EQ1 + EQ2

Substitute the value of X in either EQ1 or EQ2

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

Answer:

1 9/40

Step by step explanation:

\frac{49}{40}=1\frac{9}{40}

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.

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

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