A regular hexagon and a regular octagon are joined as shown on the diagram

Work out the size of angle x

Answer:

oooooh Mathswatch.a=3/12  b=7/12

Step-by-step explanation:

a=You need to list all the probability out

There is a total of 24 possibility and 6 of them are the same colour. Simplify it, it becomes 3/12

b= see the photo. (sorry the photo wasn't too good, I am on a computer)

There are a total of 14 combination that has one red counter in it, simplify it, it is 7/12

A) The probability that the two counters will be the same colour is; ¼

B) Probability that exactly one of the counters will be red is; P(exactly one counter is red) = 7/12

We are told that he has 2 bags of counters;

First bag;

- 2 red counters

- 1 blue counter

Second bag;

- One red counter

- One blue counter

- two yellow counters

A) He takes a counter from both bags, probability that they will be same colour is;

RR or BB

Now, P(RR) = ⅔ × ¼ = 2/12

P(BB) = ⅓ × ¼ = 1/12

Thus;

P(both same colour) = 2/12 + 1/12

P(both same colour) = ¼

B) Probability that exactly one of the counters will be red;

The possible combinations in this way that have a red is 14.

Meanwhile total possible combinations is 24.

Thus;

P(exactly one counter is red) = 14/24

P(exactly one counter is red) = 7/12

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Answer:

fx

sum of (fx)= 214

mean = £fx/ N

N=100

mean= 214÷100

mean = 2.14

Answer:

x = 96

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides:

(1/3)x - 4 (+4) = 28 (+4)

(1/3)x = 28 + 4

(1/3)x = 32

Next, multiply 3 to both sides:

(3)(1/3)x = (32)(3)

x = 32 * 3

x = 96

x = 96 is your answer.

~

Answer:

96=x

Step-by-step explanation:

Add 4 to each side

1/3x= 32

multiply 3 on each side to cancel out the fraction

x=96

Answer:

20 hours

Step-by-step explanation:

20x20

Answer: 20 hours

Step-by-step explanation:

Hour=60 min

20 cakes=60 min

400 ÷ 20 = 20 hours

Answer:

equilateral right triangle

Step-by-step explanation:

7^2+7^2=c^2

49+49=c^2

c^2=98

c=10

Therefore, equilateral right triangle

Your answer would be 37.5%

For the first card you picked, the probability of picking a number less than 3 is 2/4 = 1/2, because there are 2 cards that are less than 3 and a total of 4 cards.

When picking the second card, it is still out of 4 because you replaced the first one, so the probability of picking a card greater than 1 is 3/4 because there are 3 cards that are greater than 1 out of a total of 4.

Therefore the total probability would be 1/2 × 3/4 = 3/8. To find this as a percentage we just multiply by 100, and this gives us 37.5%.

I hope this helps!

Answer:

You have three card : 1, 2, 3 and 4.

You first pick one card randomly, the probability of picking a number less than 3 is:

P = 2/4  

You then pick a second card after putting the first card back, the probability of picking a number greater than 1 is:

P = 3/4

=> The probability of picking a number less than 3 and then picking a number greater than 1:

P = (2/4) x (3/4) = 3/8

Hope this helps!

:)

Answer:

12/5 cm^3

Step-by-step explanation:

When you try and figure out volume, you want to multiply all of the sides a shape in order to get it.

The formula for volume is L x W x H

Now let's substitute all of the units with it's corresponding numbers:

L=3

W=4/3

H=3/5

Then just multiply:

3*4/3 = 4

4*3/5=12/5

Then you get the answer 12/5 cm^3

Answer:

[tex]2 \frac{2}{5} {cm}^{3} [/tex]

Step-by-step explanation:

[tex]volume = whl \\ = 3 \times \frac{4}{3} \times \frac{3}{5} \\ = \frac{36}{15} {cm}^{3} \\ = 2 \frac{6}{15} {cm}^{3} \\ = 2 \frac{2}{5} {cm}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!!

Answer:

For the given equation of the line of best fit, the values that complete the table are as follows

An equation for a line of best fit follows the same guidelines as a linear function where 'y' represents the total (value), 'x' represents time (years), -2.9 is the rate, and 17.7 is the starting value.  The table indicates that for any year, there is a given value, but what we are solving for is the predicted value.  The residual is the different between the given and predicted values.  So, for 'a', we need to solve for the 'y' in our equation by replacing 'x' with '1', multiplying by -2.9 and adding 17.7.  This gives us 14.8.  For 'b', we simply need to subtract the given and predicted values to get a residual of 0.1.  For 'c', we again solve for 'y' by replacing 'x' with '3' in our given equation to get 9. And, for 'd' we subtract the given value of 5 and the predicted value of 6.1 to get 1.1.

answer-

a = 14.8

b = 0.1

c = 9

d = -1.1

The answer you seek is

answer-

a = 14.8

b = 0.1

c = 9

d = -1.1

Answer:

2. a^3+2^3=24

1. Jack has 24 pieces of candy and divided them into groups of 3. He put 2 pieces in each group. How many more are in each group?

Step-by-step explanation:

im not sure if this is correct but i tried sorry.

Answer:

≅ 0.02083333

Step-by-step explanation:

(3.5 * 2/7 - 2/3)÷16 = 1

48

≅ 0.02083333

1: Conversion a decimal number to a fraction: 3.5

2: Multiple: 3.5 * 2

7

= 7 · 2

2 · 7

= 14

14

= 1 · 14

1 · 14

= 1

3: Subtract:

4: Divide

Hope this helps.

1/48 is the value of  (3.5· 2/7 − 2/3 )÷16.

An expression is combination of variables, numbers and operators.

(3.5 × 2/7 − 2/3 )÷16

Three point five times of two by seven minus two by three divided by sixteen.

Three point five times of two is 2 is seven

(7/7-2/3)÷16

(1-2/3)÷16

(1/3)÷16

1/3×1/16

1/48

Hence, 1/48 is the value of  (3.5· 2/7 − 2/3 )÷16.

To learn more on Expressions click:

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Answer:

3/16 of an onion

Step-by-step explanation:

3/4 onion divided by 4

3/4÷4

Copy dot lip

3/4 * 1/4

3 /16 of an onion

Answer:

[tex] \frac{3}{16} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} \div \frac{4}{1} \\ \frac{3}{4} \times \frac{3}{4} \\ = \frac{3}{16} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The answer is A it is correct.

Answer: THE OBJECT MUST MOVE IN THE SAME DIRECTION AS THE FORCE. WORK IS DONE ON AN OBJECT IF TWO THINGS OCCUR 1. THE OBJECT MOVES AS A FORCE IS APPLIED 2. THE DIRECTION OF THE OBJECT'S MOTION IS THE SAME AS THE DIRECTION OF THE FORCE APPLIED.

Step-by-step explanation:

Answer:

GDC

Step-by-step explanation:

Answer:

 cotθ = √35 = 5.91

Step-by-step explanation:

Explanation:-

Given sin(θ) = -1/6

         [tex]cosec(theta) = \frac{1}{sin(theta)} = \frac{1}{\frac{-1}{6} } = -6[/tex]

We will use trigonometric formula

   co sec ²θ -cot²θ  =1

    cot ² θ =  co sec ²θ - 1  

    cot ² θ =   (-6)² -1 = 36 -1 =35

   cotθ = √35 = 5.91

   Given' θ' is  Quadrant III.

In third quadrant cotθ and tanθ are positive

   cotθ = √35 = 5.91

Answer:

102 in^3.

Step-by-step explanation:

Volume of the  ice cream container = 10*14*12 = 1680 in^3.

Volume of the  sherbet container = 11*18^9 = 1782 in^3.

So the answer is 1782 - 1680

= 102 in^3.

Answer:

your answer would be 9. hope this helps!

Answer:

-Dividing 3,024 by 336 would give you 9:

[tex]3,024 \div 336 = 9[/tex]

Answer:

* Siobhan's profit at the grocery store ⇒ $ 10.8 *

Step-by-step explanation:

See below;

Priya's 40% profit in the grocery store ⇒ 40/100 * 9 = 2/5 * 9 = 18/5 ⇒ $ 3.6,

Priya's profit at the grocery store ⇒ 9 + 3.6 ⇒ $ 12.6,

Siobhan's 15% of Priya's profit from the store ⇒ 15/100 * 12.6 = $ 1.8

Siobhan's profit at the grocery store ⇒ 12.6 - 1.8 = $ 10.8

* Siobhan's profit at the grocery store ⇒ $ 10.8 *

Answer:

36

Step-by-step explanation:

make proportion giants to elves

120/144 = 90/x cross multiply

120x =144*90

120x =12960 divide by 120

x = 108

so if there are 90 giants in the theater there are  108 elves also

considering that total 144 elves can be  in the theater subtract 144 and 108 so 36 more elves can be admitted

Answer:

36 elves

Step-by-step explanation:

Using proportions

We have space for 30 more giants

30 giants     x elves

------------- = ----------

120  full      144 elves  full

Using cross products

30*144 = x*120

Divide each side by 120

30*144/120 = 120x/120

36 = x

We can have 36 elves

Answer:

All real numbers

Step-by-step explanation:

The range is the possible output values

This is a line and the output goes from negative infinity to positive infinity

The range is all real numbers

Answer:

A

Step-by-step explanation:

Since it's a straight line, it extends from negative infinity to positive infinity

Answer:

0.5

Step-by-step explanation:

Answer:

answer is 0.5 just got it right

Step-by-step explanation:

Step-by-step explanation:

"identity" means an operation that does nothing.

For adding numbers, adding 0 changes nothing, so 0 is the identity for addition.

For multiplication, multiplying by 1 changes nothing, so 1 is the identity for multiplication.

Answer:

1.056 seconds

Step-by-step explanation:

Solution:-

- When a ball is thrown vertically in air from a height of "so" from the ground at a velocity of " vo " it follows a parabolic trajectory. The ball undergoes its upward motion against gravity. Hence, it has negative acceleration of a = -g = -32 ft/s^2.

- When the balls reaches its maximum height in air, it starts its downward journey under the complete influence of gravity; hence, it accelerates with a = +g = 32 ft/s^2.

- The entire trajectory of the ball is governed by the constant acceleration "a" due to gravity and neglecting any other effects on the ball i.e air resistance.

- There are three kinematic equation of motion valid for any particle undergoing independent one dimensional motion with constant acceleration.

- For vertical trajectory the displacement "h" from the ground is given by the second kinematic equation of motion:

                  h - so = vo*t + 0.5*a*t^2

                  h = vo*t + 0.5*a*t^2 + so

Where the parameters are given as:

                so = 2 feet

                vo = 15 ft/s

                a = - 32 ft/s^2

Therefore we have:

                  h = 15*t + 0.5*(-32)*t^2 + 2

                  h = -16t^2 + 15t + 2

- To determine the amount of time the ball is in air the displacement is given by the distance from the ground. The journey starts when the ball is thrown from height "so" and ends when it strikes the ground; hence, at h = 0 ft.

                0 = -16t^2 + 15t + 2

                0 = 16t^2 -15t - 2

- Use the quadratic formula to solve for time "t":

               [tex]t = \frac{-b+/-\sqrt{b^2 - 4*a*c} }{2a} \\\\at^2 + bt + c = 0[/tex]

- Plug in the respective constants:

                [tex]t = \frac{15+/-\sqrt{15^2 - 4*16*-2} }{32} \\\\ t = \frac{15+/-18.78829 }{32} \\\\t = 1.056 s[/tex]

- The total time for ball in air would be 1.056 seconds. ( Neglect the negative value of time )

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You have to convert them so they have a common denominator

A common multiple of all these is 24

3/4 --> 18/24

5/12 --> 10/24

1/2 --> 12/24

1/4 --> 6/24

2/3 --> 16/24

Now you can easily compare the values

The correct order would be:

D B C E A

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Answer:

Order is DBCEA (1/4, 5/12, 1/2, 2/3, 3/4)

Step-by-step explanation:

Reason that is the order is if you make everthing have a common denominator of 12 you get:

A=9/12

B=5/12

C=6/12

D=3/12

E=8/12

If you rearrange and simplify again you get the order of DBCEA or 1/4, 5/12, 1/2, 2/3, 3/4

Answer:

The volume would increase 8 times

Step-by-step explanation:

The volume of a cube is given by the following formula:

Volume = side^3

With a volume of 125 cm3, we have:

125 = side^3

Now, if we double the length of the side, we have that:

New volume = (2*side)^3

New volume = 8*side^3

New volume = 8 * 125 = 1000

So the ratio of the new volume over the old volume is:

New volume / Volume = 1000 / 125 = 8

So the volume increased 8 times.

Answer:

$2195.80

Step-by-step explanation:

For a initial principal, P compounded with period k over n years at an annual interest rate, r, the amount (A(n)) at the end of n years is determined using the function:

[tex]A(n)=P(1+\frac{r}{k})^{nk}[/tex]

In the given case:

P=$1800

n=4 years

r=5%=0.05

Since it is compounded quarterly, Period, k=4

Therefore, the amount of money in the account after 4 years is:

[tex]A(n)=1800(1+\frac{0.05}{4})^{4*4}\\=1800(1+0.0125)^{16}\\=1800(1.0125)^{16}\\=\$2195.80[/tex]

After 4 years, there will be $2195.80 in the account.

Answer:

Total Cost (T)=  .80a+1.25c

T= a+c

Step-by-step explanation:

This equation has 2 variables. It also has 2 equations

Answer: 330 pounds

Step-by-step explanation:

Hey!!!

Here's your answer

-9*4=-36

So the right answer -36.

Hope it will help you

Good luck on your assignment

Answer:

-36

Step-by-step explanation:

-9*4 = -(9*4) = -36

Answer:

6 pi

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

The diameter is 2 so the radius is 1/2 d = 1

V = pi (1)^2 * 6

V = 6 pi

Answer:

The y intercept of Function A is greater than the y intercept of Function B.

Step-by-step explanation:

-3 is greater than -4.