The area of the trapezium above is 22 cm².
What is the value of x ?

Answer:

1) P(First card was a king) =  1/13 2.) 1/4

Step-by-step explanation:

1) P(First card was a king) = n(King)/n(Total) = 4/52 = 1/13

2. P(Heart)13/52 = 1/4

Answer:

1/52

Step by step explanation:

First, find the probability that the first card will be a King. Since there are 4 possible kings, and 52 cards, the probability is 4/52.

Then, find the probability that the second card will be a heart. "given that the first card is replaced" means that there are 13 possible hearts regardless of the suit of the first card. So 13/52 is the probability.

To find the probability of both occurrences, multiply them.

4/52 * 13/52 = 52/2704

52/2704 can be simplified to 1/52. So that is the probability that the first card will be a king and the second card will be a heart.

Answer:

9 years

Step-by-step explanation:

Given data

Principal= $10000

Rate= 3%

Final amount= $12700

The simple interest expression is given as

A=P(1+rt)

substitute

12700=10000(1+0.03*t)

12700=10000+300t

collect like terms

12700-10000= 300t

2700=300t

divide both sides by 300

t= 2700/300

t= 9 years

Answer:

we have

diameter {d}=6.8m

radius (r)=3.4m

height]h}=8.5

now

volume of cylinder=πr²h=π([6.8]/2)²×8.5=

π(3.4)²(8.5) is your answer

Step-by-step explanation:

Diameter of the cylinder=6.8m

Radius=Diameter/2=6.8/2=3.4

[tex]\boxed{\sf Volume=\pi r^2h}[/tex]

[tex]\\ \tt \mapsto \:Volume_{(Cylinder)}=\pi(3.4)^2\times 8.5 units^3[/tex]

Answer:

9 for the hypotenuse, [tex]\sqrt{64}[/tex] and [tex]\sqrt{25}[/tex] for the two legs

Step-by-step explanation:

For these types of problems, we need to make sure that the values of legs are as big as possible while keeping the hypotenuse larger than legs because otherwise, it won’t be a right triangle.  

So for the hypotenuse, we have to put the largest number in this number bank because the hypotenuse has to be larger than both legs. So the hypotenuse will equal 9. The rest is simple. Get the numbers as large as possible. Since the hypotenuse must be larger than both legs, we cannot use sqrt(81) and sqrt(64) (that would’ve been sweet). So we have to use sqrt(64) and sqrt(25) because sqrt(49) and sqrt(36) are already taken since we can only use a number once.

I'm not an expert at this and I cannot guarentee that this is correct. But I hope that this helps.

Answer:

−28x

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

From the line plot, the length of wood measuring atleast 1/2 in length include :

Piece with length 1/2 and pieces with length 2/3

Number of pieces with length 1/2 feets = 4

Number of pieces with length 2/3 feets = 2

Pieces with atleast 1/2 feet length = 4 + 2 = 6

Step-by-step explanation:

Volume of a cone= 150

Volume of a cylinder=?

Now,

Volume=22/7*r^

Answer:

(C) 450

Step-by-step explanation:

Volume of cone: (1/3)×(pir^2h)

Volume of cylinder: (pir^2h)

The volume of the cone multiplied by (1/3) should give you your answer. (150 × 3)

For example, a classroom of 30 students with 15 males and 15 females could generate a representative sample that might include six students: three males and three females

so true i think

Answer:

Step-by-step explanation:

From late 2010, Kim Jong-un was viewed as successor to the leadership of North Korea. Following the elder Kim's death in December 2011, state television announced him as the "Great Successor". Kim holds the titles of General Secretary of the Workers' Party of Korea,[7] Chairman of the Central Military Commission, and President of the State Affairs Commission. He is also a member of the Presidium of the Politburo of the Workers' Party of Korea, the highest decision-making body. In July 2012, Kim was promoted to the highest rank of Marshal in the Korean People's Army, consolidating his position as Supreme Commander of the Armed Forces. North Korean state media often refers to him as "the Marshal" or "Dear Respected Leader". He has promoted the policy of byungjin, similar to Kim Il-Sung's policy from the 1960s, referring to the simultaneous development of both the economy and the country's nuclear weapons program.

Answer/Step-by-step explanation:

To find out the mistake of the student, let's find the min, max, median, Q1 and Q3, which make up the 5 important values that are represented in a box plot.

Given, {2, 3, 5, 6, 10, 14, 15},

Minimum value = 2

Median = middle data point = 6

Q1 = 3 (the middle value of the lower part of the data set before the median)

Q3 = 14 (middle value of the upper part of the data set after the median)

Maximum value = 15

If we examine the diagram the student created, you will observe that he plotted the median wrongly. The median, which is represented by the vertical line that divides the box, ought to be at 6 NOT 10.

See the attachment below for the correct box plot.

Answer:

6, 0

Step-by-step explanation:

Step-by-step explanation:

put it in least to greatest and then put your fingers on the opposite side of the numbers and count down at the same time

Answer:

c = 1

Step-by-step explanation:

9 x 1 + 1 = 10

Hope this helps!

Answer:

c=1

Step-by-step explanation:

9c+1=10

9c=10-1

9c=9

9c/9c= 9/9

c=1

Answer:

18cm3

Step-by-step explanation:

3x2x3=18

Length x Width x Height

Hope this helps plz like& brainly

Answer:

8.99 + 12.50x < 55 and x = 3

Step-by-step explanation:

The cost of their pitchers of soda ($8.99) and the cost of x number of pizzas ($12.50x), is less than 55.

Answer:

I believe it's C

Step-by-step explanation:

The surface area of the bottom is 64 because it's 8 times 8.

All of the sides are 8 times 12.

8 times 12 is 96.

96 times 4 (for all four sides) is 384.

So the sides (384) plus the bottom (64) is 448, or C

Answer:

a) t (α)  =  30 * tan α

b) α =  75 °  is not possible because

Step-by-step explanation:

The vertical cliff  (y),  the observing partner ( 150 ft ) from the point o ( the common point for the cliff and the ground ) between the cliff, and the line of sight from the observer and the climber, shape a right triangle. Hypothenuse is the distance between the partners, the cliff, and distance of the observer to the cliff are the legs.

Then

α is the elevation angle

tan α  =  y / 150           (1)

y(t)  = elevation of the climber

y(t) = speed * time

y(t)  =  5 * t

tan α  =  5 *t / 150

tan α  =  t / 30

t (α)  =  30 * tan α

b) α =  75 °  is not possible because:

tan α  =  y / 150              tan 75°  =  3.73

Then     y  =  3.73 * 150  =  559 ft and the cliff is only 500 ft

Answer:

353.77

Step-by-step explanation:

the formula of finding the volume of a cone is 1/3times pie times radius squared times height do it with a calculator to get the answer

Answer:

105 m²

Step-by-step explanation:

Dividing the figure into 3 rectangle will be easier to find its area.

The area of the larger rectangle

= (10-5) × 13

= 65 m²

The total area of the 2 smaller rectangles

= 2 × (4×5)

= 40 m²

The area of the figure

= 65 + 40

= 105 m²

Answer:

hola

Step-by-step explanation:

como estas?

Answer:

18 meters

Step-by-step explanation:

The circumference is given by

C = pi *d

18 pi = pi *d

Divide each side by pi

18 pi / pi = pi * d/pi

18 =d

Answer:

18 m

Step-by-step explanation:

C = π · d

18π = π · d

18 = d

Answer:

72 markers along entire trail

Step-by-step explanation:

Divide 12 miles by 1/6 mile:

  12 miles

------------------------- = 72 markers

1 marker/6 miles

Answer:

G

Step-by-step explanation:

The most likely to have the greatest variability is,

⇒ The height of all students at West Middle school.

A Mathematical expression is defined as collection of the numbers, variables and functions by using operations like addition, subtraction, multiplication, and division

Now, We know that;

Greatest variability is large spectrum of possibilities.

Hence, We get;

The costs of candy from vending machine are going to be about the same price because they are all candy, so that does not vary much more.

And, The age of all the students in the sixth grade is going to be about the same because they are in the same grade.

Since, The number of days in a month is usually 31 or 30, so that also does not vary much.

This means, it has to be the height of all the students at West Middle school because it is a middle school so there are 3 different grades each having many students. This means that it will have the greatest variability.

Thus, The most likely to have the greatest variability is,

⇒ The height of all the students at West Middle school

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer: 36,290,000

Step-by-step explanation:

Answer:

What's the question?

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

So since a || b,

7x + 11 = 10x - 43

3x = 54

x = 18

Answer:

8y-36x=16

Step-by-step explanation:

Dialating means you are multiplying or dividing. Since 2 is positive you multiply everything by 2, usually it would be coordinates, like if it said dialate (2,4) by 6 we would get (12, 24), but I didn't really want to have to solve the equation for the coordinates so try the answer I wrote, if not I am so so so sorry but at least now you know what dialating means.