The events A and B are independent events, and the values of P(A) and P(B) are 7/12 and 1/2, respectively
The value of P(A)The event A is given as:
A : Sum greater than 6
In the sample space of a roll of two dice, there are 21 outcomes that are greater than 6, out of a total of 36 outcomes
This means that:
P(A) = 21/36
Simplify
P(A) = 7/12
The value of P(B)The event B is given as:
B : Sum is divisible by 2
In the sample space of a roll of two dice, there are 18 outcomes that are divisible by 2, out of a total of 36 outcomes
This means that:
P(B) = 18/36
Simplify
P(B) = 1/2
Hence, the probability values of P(A) and P(B) are 7/12 and 1/2, respectively
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Solve the equation for x. Do not include "x =" in your answer.
-3+√3x-11=5
Help pls
The value of x in the equation is 25
How to solve for x?The equation is given as;
[tex]-3 + \sqrt{3x - 11} = 5[/tex]
Add 3 to both sides
[tex]\sqrt{3x - 11} = 8[/tex]
Take the square of both sides
3x- 11 = 64
Add 11 to both sides
3x = 75
Divide both sides by 3
x = 25
Hence, the value of x in the equation is 25
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please help picture below
Answer:
720
Step-by-step explanation:
height is 22
right triangle sides are
5 12 and 13
Answer:
B) 720 cm²
Explanation:
Area of triangular prism = Base × Height + Length × (perimeter of base)
Here given:
Base: 12 cmHeight: 5 cmLength: 22 cmPerimeter of Base: (5 + 12 + 13) = 30 cm=======================================
Solve for area: 12 × 5 + 22 × (30) = 720 cm²
A rectangular prism with a length of 4 meters, width of 0.5 meters, and height of 4 meters. 2 triangular prisms are cut out of the cube. The triangular prisms have triangular sides with a base of 2 meters and height of 1 meters. The prism has a height of 0.5 meters.
Using the dimensions in the diagram, calculate how much cement is needed to build the monument.
4 m3
7 m3
8 m3
16 m3
i need the answer as fast as possible like i need it today and if right many marked branliest
Answer:
7 m3
Step-by-step explanation:
Correct
The cement that is needed to build the monument will be 7 m³. Thus, the correct option is B.
What is the volume?The volume of the rectangular prism is calculated as,
V = LWH
V = 4 m x 0.5 m x 4 m
V = 8 m³
The volume of the triangular prism is calculated as,
V = (BHL) / 2
V = (2 m x 1 m x 0.5 m) / 2
V = 0.5 m³
Since there are two triangular prisms, the total volume of both triangular prisms is:
⇒ 2 x 0.5 m³
= 1 m³
The total amount of cement is calculated as,
⇒ (Volume of rectangular prism - Total volume of both triangular prisms)
⇒ (8m³ - 1m³)
⇒ 7 m³
Thus, the correct option is B.
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Find the equation of the line that passes through the points:(2, 2) and (3, 4)
Answer:
y=2x-2
Step-by-step explanation:
the slope of the two points can be found using rise over run which would be 4/2 and that equals 2. then you have to pout the y intercept.
6 worker can construct 10 m long wall in 4 days . in how many days 2 worker can contruct 15 m long wall ?
Answer:
it should take the workers 18 days to finish
Step-by-step explanation:
Hi, please choose the correct answer. please
Answer:
y = -x + 1
Step-by-step explanation:
I just checked it in the desmos graphing calculator and it was correct.
Answer:
y = -x + 1.
Step-by-step explanation:
The graph rises to the left so has a negative slope.
slope = -1 and y-intercept = 1
Sam is doing a project about pets. what is an example of a statistcal question he could write about the topic
An example of a statistcal question that Sam could write about is the weight of the members of a sample of 100 dogs.
What is statistical question?Statistical question can be regarded as the question that needed alot of data processing before one can answer it.
When choosing a Statistical question, one should know that it will involve collection of data for processing such as classification of the pet base on their weights.
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Evaluate the equation below
Answer:
55
Step-by-step explanation:
we can get the answer by putting it in the calculator
please help. Trying to find the missing measure. Explanations needed
Answer:
l=5.1in
r=2.4in
Step-by-step explanation:
size increase of 50% so just add (+50%) to both existing values
I need help with? this question. what is 7(-7)+149-56/2=?
Answer:
the answer is 22 hope this helps
Step-by-step explanation:
7(-7)= -49
-49+149=100
100-56=44
44/2=22
For times t> 0 in seconds, a superhero's height above the ground in meters is given by the function
s(t) = 600 - 14.7t2. Directly below the superhero, a person is in free fall. The person's height above
the ground is given by the function P(t) = 300 - 10t - 4.912. At what time are the superhero and the
person at the same height above the ground and how high above the ground are they?
Answer:
NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by
Assuming rocket launched at t = 0 and height is measured above sea level in meters.
Step-by-step explanation:
Find the values of x and y.
Answer: x=60°, y=60°
Step-by-step explanation:
because they are equilateral triangles, which the angles are all 60° Please correct me if I’m wrong, but I’m quite sure.
Find the ratio of 4cm and 8mm
Answer:
5 : 1
Step-by-step explanation:
Unit conversion (between cm and mm) : 1 cm = 10 mm
⇒ 4 cm : 8 mm
⇒ 4 x 10 mm : 8 mm
⇒ 40 mm : 8 mm
⇒ 5 : 1
Joan has a semi-circular swimming pool. The pools has a radius of 13 feet. What is the distance around the swimming pool
Answer:
66.84 feet.
Step-by-step explanation:
Distance around = length of straight part + length of the semi-circle
= 2*13 + π*13
= 66.84 feet.
What is the Slope-Intercept form of the equation of a line that passes through the point (5,-3) and is parallel to the line y = 2x +3?
Answer:
y = 2x + 7
Step-by-step explanation:
The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day.
Which statements are true based on the model?
Select each correct answer.
The store earns about $50,000 in profits on its best days.
Maximum profits are earned when there are 6 clerks working.
The store earns profits when no clerks are working.
Maximum profits are earned when there are 3 clerks working.
The store loses money when 7 or more clerks are working.
Answer:
See below ~
Step-by-step explanation:
The true statements based on the graph :
Maximum profits are earned when there are 3 clerks working.The store loses money when 7 or more clerks are working.Does anybody know this?Find the surface area of the triangular prism the ares of the base is 7.75yd
Answer:
10.308
Sure hope this helps you
please help me with these questions
Answer:
Here is the ans ..hope it helps
What is the area of the figure shown?
Check the picture below.
[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2-r^2) ~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=10.5\\ r=7 \end{cases}\implies \begin{array}{llll} A=\pi (10.5^2 - 7^2)\implies A=61.25\pi \\\\\\ A\approx 192.42~m^2 \end{array}[/tex]
hhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
A.
Step-by-step explanation:
Because if she plays for a certain amount of time it would go up. And it she took a break it would be a straight line then go up the same line as the one at the bottom. Thus making your answer A.
What is the solution to this system of equations? 3.2 x 0.5 y = 4.2. negative 1.6 x minus 0.5 y = 3.4. (4.75, 38.8) (4.75, negative 22) no solution infinitely many solutions
The solution to the system of equation is (4.75, -11)
3.2x + 0.5y = 4.2
-1.6x -0.5y = 3.4
How to solve system of equation?
3.2x + 0.5y = 4.2
-1.6x -0.5y = 3.4
add equation(i) to equation(ii)
Therefore,
1.6x = 7.6
divide both sides by 1.6
x = 7.6 / 1.6
x = 4.75
Therefore,
3.2(4.75) + 0.5y = 4.2
0.5y = 4.2 - 15.2
0.5y = -11
y = - 11 / 0.5
y = - 22
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Answer:
The solution is x=4.75 and y = -22
Step-by-step explanation:
To find the solution to the system of equations, we will follow the steps below:
3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)
-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)
add equation (1) and equation (2)
1.6x =7.6
Divide both-side of the equation by 1.6 to get the value of x
1.6x /1.6 =7.6/1.6
x =4.75
substitute x = 4.75 into equation (1) and solve for y
3.2(4.75) + 0.5y = 4.2
15.2 + 0.5y = 4.2
subtract 15.2 from both-side of the equation
15.2 - 15.2 + 0.5y = 4.2-15.2
0.5y = -11
Divide both-side of the equation by 0.5
0.5y/0.5 = -11/0.5
y = -22
The solution is x=4.75 and y = -22
What is the ratio of the area of sector abc to the area of sector dbe?
The ratio of the area of sector abc to the area of sector dbe is 4:3
Area of a sectorThe formula for calculating the area of a sector is expressed as:
A = r²Ф
where:
r is the radiusФ is the subtended angleFor the sector ABC
A1 = (2r)²β
A1 = 4r²β
For the sector DBE
A2 = (r)²3β
A2 = 3r²β
Take the ratios
Ratio= A1/A2
Ratio = 4r²β/3r²β
Ratio = 4/3
Hence the ratio of the area of sector abc to the area of sector dbe is 4:3
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Which statements are true? select three options. milk was requested for 16 of the large-sized meal orders. soda was requested for 280 of the kids’ meal orders. a juice box was requested for 82 of the regular-sized meal orders. sixty-three of the orders of soda came with a regular-sized meal. a total of 124 large-sized meals were ordered.
The true statements are:
A. Milk was requested for 16 of the large-sized meal orders;D. Sixty-three of the orders of soda came with a regular-sized meal; andE. A total of 124 large-sized meals were ordered.Calculations and Parameters:Given:
Total no of meals with milk= 71Regular size meals= 55Regular sized meals with soda= 63To find the large size meals that came with milk,
71-55= 16.
Therefore, the total number of large size meals ordered was:
16+22+86 = 124.
Hence, options A, D and E are correct.
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What is the length of the diagonal of the rectangle?
a) 2.5 units
b) 4.5 units
c) 5 units
d) 7 units
Answer:
I do believe its 5 units, if I am incorrect I apologize
Step-by-step explanation:
how do you measure the perimeter of a shape
Perimeter is a measure of the area or distance around a two-dimensional shape. On a rectangle, for instance, the perimeter is the total length of the rectangle's outline, including the two widthwise borders and the two lengthwise borders.
To determine the perimeter of a shape, therefore, you add together all the dimensions that make up the shape's outer edge. Being able to find the perimeter of a shape has many applications in the real world. Say, for example, that you wanted to build a fence around your backyard. In order to purchase materials, you need to know how much fencing you'll need, and to determine that you have to figure out the perimeter of the area you want to fence in.
4/5(x+7)=20 I cant find it pls help :(
who can help me finish a course on edge ive done half of the course already its algebra !!
Sure, post the questions.
Steve earns $10.00 per hour. he worked 40 hours at regular rate, 8 hours at time and a half and 8 hours at double time. compute the total wages.
The total wages of Steve will be equal to W=$560 worked for 56 hours.
What are wages?The amount of money charged by a worker for working for a particular company on an hourly or day basis is called the wages.
Here the time of the worker is given as . he worked 40 hours at a regular rate, 8 hours at a time and a half and 8 hours at double time and the earning per hour is $10.
The total time will be:-
40+8+(1÷2)x8x2=56
Now the total earnings will be given as:-
T=10x56=$560
Hence the total wages of Steve will be equal W=$560 worked for 56 hours.
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a vertical meter stick casts a shadow of 0. 4 meters. if a tree casts a shadow of 12 meters at the same time, how tall is the tree?
The height of the tree is 30 times the height of the verticle stick.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
A vertical meter stick casts a shadow of 0. 4 meters.
If a tree casts a shadow of 12 meters at the same time.
Let x be the height of the stick and y be the height of the tree. Then we have
y/x = 12/0.4
y/x = 30
y = 30x
The height of the tree is 30 times the height of the verticle stick.
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central angle is a right angle. Find x.
Answer:
It's 90° degrees .
Explanation :
A right angle meseaures correct 90° degrees .