Answer:
The required probability is option [tex]C)\ \dfrac{1}{9}[/tex]
Step-by-step explanation:
There are a total of 9 cards.
Total number of cases = 9
Let A be the event of choosing 1, 2 or 3.
Total number of favorable cases for event A = 3
Let B be the event of choosing 7, 8 or 9.
Total number of favorable cases for event B = 3
Formula for finding probability of an event E is:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Finding P(A), using the formula:
[tex]P(A) = \dfrac{3}{9}\\\Rightarrow \dfrac{1}{3}[/tex]
Now, it is given that the card is replaced, so again total number of cases are 9.
For finding P(B), using the formula:
[tex]P(B) = \dfrac{3}{9}\\\Rightarrow \dfrac{1}{3}[/tex]
To find the probability that events A and B both happen, we can simply multiply P(A) and P(B) because these are independent events.
[tex]\text{Required probability = }P(A) \times P(B)\\\Rightarrow \dfrac{1}{3} \times \dfrac{1}{3} \\\dfrac{1}{9}[/tex]
In the figure shown below,
DE || AB. What is the length of BE?
A. 24cm
B. 26 cm
C. 33 cm
D. 36 cm
Answer:
DE//AB, applying Thales theorem:
CD/DA = CE/EB
=> EB = DA x CE/CD = 39 x 12/18 = 26 cm
=> Option B is correct
Hope this helps!
:)
Question 2: What is a sample space in an event?
A.the total amount of outcomes
B.a list of all the different possible outcomes
C.any random possibilities that you can think of
Answer:
B. I'm petty sure about this one but cant quite put it into words Hoped this helped!!
A 15 feet tree casts a shadow that is 8 feet long. What is the distance from the tip of the tree to the tip of it's shadow?
Answer:
17 feet
Step-by-step explanation:
I used the Pythagorean theorem to answer this question.
a^2 + b^2 = c^2
15^2 + 8^2 = c^2
225 + 64 = c^2
289=c^2
c^2=289
c=√289
c=17 feet
The length of the tip of the tree to the tip of it's shadow will be;
⇒ 17 feet
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
A 15 feet tree casts a shadow that is 8 feet long.
Now,
Since, A 15 feet tree casts a shadow that is 8 feet long.
Hence, The length of the tip of the tree to the tip of it's shadow = x feet
So, We get by using the Pythagoras theorem;
⇒ x² = 15² + 8²
⇒ x² = 225 + 64
⇒ x² = 289
⇒ x = √289
⇒ x = 17
Thus, The length of the tip of the tree to the tip of it's shadow will be;
⇒ 17 feet
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
#SPJ2
Does anyone know geometry?
Answer:
286m²
Step-by-step explanation The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
Answer:
286m²Step-by-step explanation:
IDK
Simplify:
(4 + 2i) 2
so the answer is 16+4i ^2
Look at the attached picture
Hope it will help you
Good luck on your assignment
What is the surface area of a cylinder with base radius 4 and height 5?
Either enter an exact answer in terms of PI or use 3.14 for PI and enter your answer as a decimal.
Step-by-step explanation:
S = (2 * pi * r^2) + (2 * pi * r * h)
S = (2 * pi * 4^2) + (2 * pi * 4 * 5)
S = (32 pi) + (40 pi) = 72pi = 226.08 ANS.
If 8x−4y=20 and 4x−8y=4, what is the value of x−y
Answer:
x-y=3-1=2
Step-by-step explanation:
[tex]8x-4y=20[/tex] [tex]4x-8y=4[/tex]
[tex]8x=20+4y[/tex] [tex]4(\frac{20+4y}{8})-8y=4[/tex]
[tex]x=\frac{20+4y}{8}[/tex] [tex]\frac{80+16y}{8} -8y=4[/tex]
[tex]x=\frac{20+4}{8}[/tex] [tex]10+2y-8y=4[/tex]
[tex]x=\frac{24}{8}[/tex] [tex]10-6y=4[/tex]
[tex]x=3[/tex] [tex]-6y=4-10[/tex]
[tex]-6y=-6[/tex]
[tex]y=1[/tex]
so x-y=3-1=2
What is -3 1/3 + (-1 2/3)?
Answer:
-5
Step-by-step explanation:
-3 + -1 = -4
-1/3 + -2/3 = -1
-1 + -4 = -5
Can somebody answer this...
Answer:
1. 72
2. 60
3. 35
4. 32
Step-by-step explanation:
1. 6 x 4 x 3= 72
2. 5 x 3 x 4= 60
3. 5 x 2 x 2= 20
5 x 3 x 1= 15
20 + 15= 35
4. 5 x 3= 15
2 x 2=4
4 x 8= 32
-2(3x)+1=7-6x
X Is equal to what
Answer:
there is no solution
Step-by-step explanation:
When we solve it, the first step is [tex]-6x+1=7-6x[/tex].
-6x+6x is 0, so there is no solution
Answer:
There are no solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(3x)+1=7−6x
Step 1: Simplify both sides of the equation.
−2(3x)+1=7−6x
−6x+1=7+−6x
−6x+1=−6x+7
Step 2: Add 6x to both sides.
−6x+1+6x=−6x+7+6x
1=7
Step 3: Subtract 1 from both sides.
1−1=7−1
0=6
Hope this helps.
Which statement is true?
pls help me ! * ill give you BRAINLIST , have to get it right !
Answer:
The y value of Function A when x = -4 is greater than the y value of Function B when x = -4.
Step-by-step explanation:
A.) y = 2(-4) + 5 = -8 + 5 = -3
B.) y = 2(-4) + 2 = -8 + 2 = -6
-3 is greater than - 6.
What is the area of the triangle?
Answer:
4
Step-by-step explanation:
The area of a triangle is
A=1/2 bh
Where b is the base and h is the height
A = 1/2 (4)(2)
A = 4
If LO ≅LM and OP ≅ PM , then a correct conclusion would be:
ΔLMP ≅ ΔLOP by AAA.
ΔLMP ≅ ΔLOP by SSA.
ΔLMP ≅ ΔLOP by SSS.
None of these choices are correct.
Answer:
Step-by-step explanation:
None of these Choices are correct..
He fills the pencil holder with sand before he wraps it to make it feel like a heavy, expensive gift. How much sand will he need to "borrow" from his sister's sandbox to fill the pencil holder? *
1 point
a) 21 cubic inches
b) 7.5 cubic inches
c) 9.375 cubic inches
d) 10.5 cubic inches
e) 15 cubic inches
NEEEED help ASAP please!
Answer:
d) 10.5 cubic inches
Step-by-step explanation:
[tex]volume = \frac{1}{2} \times 3 \times 2 \times 3.5 \\ = 3 \times 3.5 \\ = 10.5 \: cubic \: inches[/tex]
Answer:
(a 21
Step-by-step explanation:
3 times 3.5= 10.5
10.5 times 2= 21
Find the arc length of a sector with a radius of 9 feet and a central angle of 18°. Give answer in
terms of pi.
Answer:
The arc length of a sector:
[tex]A = \frac{9}{10} \pi[/tex]
Step-by-step explanation:
-The equation for finding the Arc length, would be:
[tex]Arc length = \frac{a}{360\textdegree} 2\pi r[/tex]
-Use the given radius and the central angle for the equation:
[tex]A = \frac{18\textdegree}{360\textdegree} 2\pi (9)[/tex]
-Then, solve the equation:
[tex]A = \frac{18\textdegree}{360\textdegree} \times 2\pi \times 9[/tex]
[tex]A = \frac{1}{20} \times 2\pi \times 9[/tex]
[tex]A = \frac{2}{20}\pi \times 9[/tex]
[tex]A = \frac{1}{10}\pi \times 9[/tex]
[tex]A = \frac{9}{10}\pi[/tex]
So, the arc length of a sector is [tex]\frac{9}{10} \pi[/tex] .
Justin works as a car salesman. Last week, he had a total of $42,000 in sales. If his commission is 2%, how much did Justin earn last week?
Answer: $840
Step-by-step explanation:
42,000 total sale multiplied by .02 sales commission
42,000x.02 = 840
The leading coefficients of 3x^2-3x-4=0
Answer:
3
Step-by-step explanation:
Leading Coefficients are numbers in front of the variable (x in this case) with the largest exponent (2 in this case)
3x^2 where 3 is the number in front of the variable.
A painter charges $12 per hour plus $50 for every job. If he made $194 on a job, how many hours did he work?
Answer:
12
Step-by-step explanation:
194-50=144
144/12=12
Answer:
12 hours
Step-by-step explanation:
We can start with an equation: 12x+50 = 194 (x being number of hours)
solving gives 12x = 144
x = 144/12
x = 12
A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, the factory has operating expenses of $12,000 per week. The factory's goal is to make a profit of at least $9,800 per week. Which inequality represents the number of backpacks, x, that need to be sold each week for the factory to meet this goal?
Answer:
The factory needs to sell 327 packbacks to make at least 9,800 per week.Step-by-step explanation:
We know that each backpacks is sold for $40.00.
The goal is to make at least $9,800 per week. With this information we can define the inequality
[tex]40x -10x \leq 9,800[/tex]
Where [tex]x[/tex] represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so
[tex]30x\leq 9,800[/tex]
Solving for [tex]x[/tex]
[tex]x\leq \frac{9800}{30}\\ x \leq 326.67[/tex]
Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.
plzzzzzzzzzzzzzzzzzzzzzzzzzzz neeeed helpppppppppppppppppppppp
Answer:
D
Step-by-step explanation: hope this helps
The width of a rectangle is 7 units less than the length. The area of the rectangle is 18 units. What is the length, in units, of the rectangle?
Answer:
9
Step-by-step explanation:
Let x and y be real numbers such that x^2 + y^2 = 4(x + y). Find the largest possible value of x.
Answer:
The largest possible value of x is 2 + √8
Step-by-step explanation:
Given;
x² + y² = 4(x + y)
This is an equation of circle
x² + y² = 4x + 4y
x²- 4x + y² - 4y = 0
complete the square by taking half of coefficient of x and y, then add the squares to both sides;
x²- 4x + (-2)² + y² - 4y + (-2)² = (-2)² + (-2)²
factorize
(x - 2)² + (y - 2)² = √8
This circle has its center at (2, 2) with a radius of √8
The largest x-value occurs at the right end of the circle = x value of the center plus the radius = 2 + √8
On an average day, a horse might drink 50 L a sheep might drink 4 l and a chicken might drink 200 mL how much water would a farm need with 4 horses 8 sheep and 16 chickens need for a day
Answer:
The farm would need 235.2 liters daily for 4 horses, 8 sheep and 16 chickens.
Step-by-step explanation:
The daily consumption of water in the farm must be:
[tex]x = (4\,horses)\times \left(50\,\frac{L}{horse} \right) + (8\,sheep)\times \left(4\,\frac{L}{sheep} \right) + (16\,chickens)\times \left(0.2\,\frac{L}{chicken} \right)[/tex]
[tex]x = 235.2\,L[/tex]
The farm would need 235.2 liters daily for 4 horses, 8 sheep and 16 chickens.
Mike discovered that the pool in his backyard is leaking slowly. The pool holds 16,307 gallons of water, and is leaking at a rate of 4 gallons per day. If Mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool after 192 days?
Answer:
15,539 gallons will remain after 192 days
Step-by-step explanation:
16,307 - 4x = y
Plug in 192 for x since that's how many days will have passed.
16,307 - 4(192) = y
4 x 192 = 768
Then, subtract 768 from 16,307 to see how many gallons will remain.
16,307 - 768 = 15,539
Answer:
15,539 gallons
Step-by-step explanation:
16,307 - 4x = y;
16,307 - 4(192) = y;
4 x 192 = 768;
16,307 - 768 = 15,539
Please help me ASAP. Need to hand in by today
Step-by-step explanation:
Pls ignoré the scribbled part.
a: b = 7:2
How many times larger is a than b ?
Answer:
Step-by-step explanation:
A/b = 7 / 2
Then
A / b = 3½
A = 3½ × b
Then, a is 3.5 times greater than b.
Help!!!! Which represents the base of the cone
Answer:
the first option
Step-by-step explanation:
the 6 represents the diameter of the base
the 4 represents the height of the cone
if it needs a radius to solve the problem, divide the diameter by 2 (aka half of the diameter)
can someone help me with a series of questions?
Answer:
yes
Step-by-step explanation:
send the questions....
If a cone has a 5inch radius and a 12inch height what is the volume of the cone
Answer:
V = 75π
Step-by-step explanation:
The volume of a cone is πr^2 * h / 3
r = 5
h = 12
25π * 3 = 75π
Answer:
Step-by-step explanation:
r = 5 inches
h = 12 inches
Volume of cone = (1/3)πr²h
[tex]\frac{1}{3}*\pi *5*5*12\\=\pi *5*5*4[/tex]
= 100π cubic inches
The number of people who voted for the Green Party in a election was 1500.
The number of people who voted for the Blue Party was 9000.
Write the ratio of Green Party voters to Blue a Party voters in it’s simplest form.
Answer:
Momentum is how much something wants to keep moving in the same direction. p = m v. p = m v. p = 1500 kg × 28 m/s. p = 42 000 kg m/s. The unit for momentum is
Step-by-step explanation: