Answer:
a is the answer
Step-by-step explanation:
The equation of P(E1 ∪ E2) that represents the condition that the mutually exclusive events is one of the events occurs, or both occur which is correct option(A).
What are Mutually Exclusive events?Mutually Exclusive events is defined as in probability the particular addition rule is applicable when two occurrences are incompatible with one another. It claims that the probability of either event is equal to the probability of each event separately.
If E₁ and E₂ are said to be mutually exclusive events then the probability of an event E₁ occurring or the probability of event E₂ occurring is given as P(E₁) + P(E₂) :
P(E₁ ∪ E₂) = P(E₁) + P(E₂)
Hence, the equation of P(E1 ∪ E2) that represents the condition that the mutually exclusive events is one of the events occurs, or both occur.
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In Mr. Martins math class there are 15 students out of which 4 will be selected to receive a special award. How many combinations of students can be selected
Answer:
1365 combinations
Step-by-step explanation:
This is 15C4
= 15!/ (4!11!
= 15*14*13*12 / 4*3*2*1
= 32760/24
= 1365.
What is the center of the circle x ^ 2 + y ^ 2 + 14 = 9x
I NEED HELP ASAP!!!!!!!
Answer:
f(-3)= 15
Step-by-step explanation:
f(-3) means x is equal to -3
-3 squared - 2(-3)
-3*-3 -2(-3)
*Negative multiplied by a negative equals a positive
9+6= 15
f(-3)= 15
Hope this helps!
Answer:
put (-3) in place of x then it will be 9-6 then f(-3)=3
Harry has a cable the cable has a length of 16 meters harry cuts the cable into two parts, part A and part B the length of part A is 5 meters the weight of part A is 8kg work out the weight of part B
Answer:
17.6 kg
Step-by-step explanation:
5 meters = 8 kg
8/5 = 1.6 kg per meter
16-5 = 11
11*1.6 = 17.6 kg
Solve for x, given the perimeter = 40 cm.
2x+1+x+4
I need fast please help me
Someone pls help????????????????????????????
Answer:
The answer is 32 square inches.
Step-by-step explanation:
A square has 4 sides, and each side is 8 square inches. So the area of an object if the space of it. That means 8 x 4 which is 32.
Have a nice day!
what is the value of this
Answer:
I believe the value is equal to 8
106.5 divided by 3 partial quotients pls Answer ASAP
Answer:
35.5
Step-by-step explanation:
Hopefully this is what you mean
Part E
Now check your work by using the GeoGebra geometry tool to repeat parts A through D. Open GeoGebra e, and complete
each step below. If you need help, follow these instructions for using GeoGebra. You'll take a screenshot of your work when
you're through, so be sure to clearly label your construction as you work.
1. Plot points A, B and C, and draw a polygon, AABC, through the points.
2. Draw a line perpendicular to AC through point B. 3. Label the intersection of the line perpendicular to AC through Band AC point D.
4. Measure and display the slopes of AC and BD.
5. Display the equations of AC and BD in the Algebra margin.
6. Measure and display the lengths of AC and BD.
7. Calculate and display the area o Part F
Compare the calculations displayed in GeoGebra with the calculations you completed in parts A through D. Look in the Algebra
margin too. Do the results in GeoGebra match the results you obtained earlier? If not, where do the discrepancies occur? You
might have to rearrange equations algebraically to determine whether two equations match. Part 6
You've seen two methods for finding the area of AABC-using coordinate algebra (by hand) and using geometry software.
How are the two methods similar? How are they different? Why might coordinate algebra be important in making and using
geometry software?
Answer:
Part E is the pic
Part F is the triangle
sorry if it is kinda blurry
Part 6:
You've seen two methods for finding the area of AABC-using coordinate algebra (by hand) and using geometry software.
How are the two methods similar?
They both apply the fundamentals of triangle geometry in solving the area of a triangle using the formula for the area of triangle 1/2×base of triangle×height of the triangle.
How are they different?
Using coordinate algebra in finding the area of a triangle, you would have to measure coordinates(XY coordinates) of a triangle manually on the graph and find y coordinates based on x. If you used geometry software, it would get these coordinates automatically(based on your graph on the software) and calculate the area of the triangle using the formula.
Why might coordinate algebra be important in making and using geometry software?
A solid grasp of coordinate algebra allows you to understand how the geometry software works because it makes use of the same geometry fundamentals, making it easier for you to tweak and get the best value out of the software for your geometry calculations.
Hope it helps!!!Brainliest pls!!!Tickets to Disney World are $100. The price is going to increase on January 1. What is
the percent of change if the cost increases to a $120?
Answer:
120%
Step-by-step explanation:
What is 5(y-2)-2=2(y+1)-5? Solve for y and show your work please.
Answer:
y = 3
Step-by-step explanation:
Let's start with the left side of the equation.
5(y-2)-2= 2(y+1)-5
5y-10-2= 2(y+1)-5
Now let's solve the right side
5y-10-2= 2y+2-5
5y-12= 2y-3
-2y -2y
3y-12=-3
+12 +12
3y = 9
3y/3 = 9/3
y = 3
hope this helps!
Rounded to the nearest whole degree, what is the measure of angle boa? ° rounded to the nearest tenth of a centimeter, what is the length of arc bac? cm
1) The measure of ∠BOA is 60.16°.
2) the length of arc BAC is 14.68cm.
What is the formula for arc length?
Arc length = Central Angle(in radian) * Radius
So, length of arc AC = (45π/180) * 8
Arc AC = 2π
Arc AC = 6.28cm
So, length of arc BAC = arc AC+ arc AB
Arc BAC = 6.28 +8.4
Arc BAC = 14.68cm
∠BOA = length of Arc AB / Radius
∠BOA = 8.4/8 = 1.05 radian
∠BOA= 1.05 *(180/π)°
∠BOA=60.16°
Therefore, 1) The measure of ∠BOA is 60.16°.
2) the length of arc BAC is 14.68cm.
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Answer:
BOA= 60
BAC= 14.7
Step-by-step explanation:
i did it
Please help me!! Il give u brainliest(:
Answer: f^-1(x)= 2-4x/3
This is because the power of f is -1
Answer:
A. Answer: f^-1(x)= 2-4x/3
Step-by-step explanation:
This is because the power of f is -1, all you would do is solve the 4x-2 divided by 3 to get the answer pls give brainiest thank you.
Compute... 2x + 5 = 11
Answer:
Your answer is x=3
Step-by-step explanation:
So you have the equation 2x+5=11
First, subtract 5 from 5 and from 11.
Then you will cancel out the 5's.
After that, you should have "2x=6"
Now divide 2 from 2x and from 6.
Your answer is x=3
Find the value of x
Hannah opened a bank account. She placed $120 into the bank account and added $30 per week. Now she has $450 in her account. A. Write an equation that represents her savings. B. Find the number of weeks that have passed since she opened her savings account. Explain how you arrived at your answer
The equation that represents her savings is $450 = $120 + $30n.
The number of weeks that have passed since she opened her savings account is 11 weeks.
What equation represents her savings?Total amount saved = amount initially deposited + (amount added weekly x number of weeks)
$450 = $120 + $30n
Where n = number of weeks
In order to determine the value of n, take the following steps:
Combine similar terms = $450 - $120 = 30n
$330 = 30n
Divide both sides by 30
n = 11 weeks
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Henry enjoys watching his pet frog hop.
Each time his frog hops, Henry skip-counts backward by 100s.
Henry starts his first count at 815.
How many times does his frog have to jump to get to 15?
Explain your thinking below.
8 times does his frog have to jump to get to 15.
Why do frogs hops?The frog jump is a plyometric exercise that primarily works your quads, glutes, and hip flexors. This exercise strengthens the wrists, ankles, knees, hips, and ligaments in the joints. It also stretches your hips and ankles while strengthening your legs and lower back muscles.Frogs jump and hop around using their long, strong legs. Toads, on the other hand, prefer to walk rather than hop. They only move modest distances when they jump or hop. As a result, they don't require long legs like a frog, hence their legs are quite short.The starting number is 815.
the frog hops once (715)
2nd (615)
3rd (515)
4th (415)
5th (315)
6th (215)
7th (115) and
one last time (15) there are 8 numbers.
No. of Times = (815-15)/100 = 8 times.
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what will be the total number of pencils in 9 packages?
Answer:
9x
Step-by-step explanation:
9 packages and x pencils
9x
DOES ANYONE KNOW THIS????
Answer:
9/10, 1 3/15, 1 6/10, 2 2/9
Step-by-step explanation:
Let's make all the numbers a fraction.
1 6/10, 1 3/15, 9/10, 2 2/9
Find the LCD of the fractions.
1 6/10 = 144/90
1 3/15 = 108/90
9/10 = 81/90
2 2/9 = 200/90
Order the fractions least to greatest.
9/10, 1 3/15, 1 6/10, 2 2/9
Here is a famous prize problem that Sam Loyd issued in 1882, offering $1000 as a prize for the best answer showing how to arrange the seven figures and the eight 'dots' .4.5.6.7.8.9.0. which would add up to 82
Answer: The dot over a number signifies that it is a repeater which would go on for ever, as when we endeavor to describe 1/3 decimally as 0.33333 . . . . (etc) With a series of numbers we place the dot over the first and last, as with 0.97979797979 . . . (etc) The remarkable feature being that a proper fraction divided by 9s e.g. 46/99 is exactly equal to the numerator with the repeater sign followed by the decimal.
Step-by-step explanation: Hope This Helps, Have A Nice Day.
Match the equations of the lines with their graphs.
y = 2x + 3
y = -2x + 3
y = 2x − 3
y = -2x − 3
pictures are in order on the sheet ill label them 1,2,3,4 so now you can answer which goes where to that.
Answer:
Step-by-step explanation:
1. y=2x-3
2. y=2x+3
3. y=-2x+3
4. y=-2x-3
The equations of the lines which goes with their graphs.
1. y=2x-3
2. y=2x+3
3. y=-2x+3
4. y=-2x-3
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have to points (1.5,0) and, (0,-3)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>3x-1.5y=4.5
y=2x-3
Again,
Here, we have to points (-1.5,0) and, (0,-3)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>3x+1.5y=-4.5
y=2x+3
Here, we have to points (1.5,0) and, (0,-3)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>-3x+1.5y=4.5
y=-2x+3
Here, we have to points (-1.5,0) and, (0,3)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>3x+1.5y=4.5
y=-2x-3
Hence, the required equations are,
1. y=2x-3
2. y=2x+3
3. y=-2x+3
4. y=-2x-3
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How many milliliters are in
10 teaspoons? 1 tsp = 5 mL
Answer:
about 50
Step-by-step explanation:
Ten teaspoons equal 50 milliliters using the conversion factor 1 tsp = 5 mL.
1 tsp = 5 mL
By multiplying 10 teaspoons by the conversion factor (10 tsp × 5 mL/1 tsp)
10 teaspoons × 5 mL/1 tsp = 50 milliliters
So, there are 50 milliliters in 10 teaspoons.
The conversion factor enables us to maintain the same quantity while converting between different units of measurement. It is an essential tool for performing precise conversions in a variety of disciplines including chemistry, medicine and cooking. For practical applications unit conversions must be understood in order to ensure accurate measurements and consistent outcomes across various measurement systems. Since milliliters are a more commonly used unit of measurement, the conversion in this instance enables us to express the volume of teaspoons in that unit.
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While evan and sam are fishing 12kms from shore, their boat springs a leak, and water comes in at a constant rate of 3 gallons per minute. Same starts rowing towards the shore at a constant rate of 24kms per hour while evan bails water out of the boat. What is the slowest rate, in gallons per minute, at which evan can bail if they are to reach the shore with out sinking?
Based on the calculations, the slowest rate is equal to 4 gallons per minute.
Given the following data:
Distance from shore = 12 km.In-rate = 3 gallons per minute. Rowing rate = 24 km per hour.How to calculate the slowest rate.Let's assume the boat would sink if it takes in more than 20 gallons of water.
Conversion:
24 km/h to km/min = [tex]\frac{24 }{60}[/tex] = 0.4 km/min.Translating the word problem into an algebraic expression, we have;
[tex]\frac{12}{0.4} \times 3 - \frac{12}{0.4} \times x\geq 30\\\\\frac{36}{0.4}-\frac{12x}{0.4} \geq 30\\\\90-\frac{12x}{0.4} \geq 30\\\\\frac{12x}{0.4} \geq90+30\\\\\frac{12x}{0.4} \geq120\\\\12x \geq120 \times 0.4\\\\12x \geq 48\\\\x\geq 4[/tex]
Therefore, the slowest rate is equal to 4 gallons per minute.
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True or False: When converting a percent to a decimal you can multiply by 100 or move the decimal two spaces to the right. *
Answer:
true
Step-by-step explanation:
true
Answer: True
Step-by-step explanation:
The original selling price of a share of stock was d dollars. The selling price for a share of the same stock at a later date was represented by the expression 1.15(0.95d). Which description could explain what happened to the price of the share of stock?
Group of answer choices
Answer:
96
Step-by-step explanation:
Can I get some help?
A. 48
B. 55
C. 77
D. There is not enough information given to find the value of x
Find the perimeter of the rectangle. The drawing is
not to scale.
47 ft
57 ft
Answer:
p=2l+2w
p=2(57)+2(47)
p=208 feet
The perimeter of rectangle is 208 ft.
What is perimeter of rectangle?The perimeter of a rectangle is the total length or distance of its boundary on all sides. The perimeter of a rectangle is a linear measure and is expressed in linear units of meters, feet, inches, or yards. Let us first understand the two main properties of a rectangle.
All four angles of a rectangle are 90°.The opposite sides of a rectangle are equal in measure.Therefore, the Perimeter of a rectangle = 2(l + w).
Given:
length = 47 ft
width = 57 ft
So, the perimeter of rectangle
= 2( l + w)
=2( 47 + 57)
= 2 x 104
= 208.
Hence, the perimeter of rectangle is 208 ft
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A
45°
B
Reflex Angle B =
degrees.
Answer:
315
Step-by-step explanation:
360 - 45 = 315
since a full circle is 360 degrees that is why we take away the 45 degrees.
What is substitution?
Answer:
to put a letter in the place of a number
Step-by-step explanation:
Find the slope of the line drawn below
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (1, - 3)
m = [tex]\frac{-3-2}{1-1}[/tex] = [tex]\frac{-5}{0}[/tex]
Since division by zero is undefined then the slope of the line is undefined