Answer:
Dependent Events
Step-by-step explanation:
Suppose we have 3 balls 1,2,3 and we have to find the probability of choosing one ball.
If the first ball is chosen the probability will 1/3 leaving behind 2 balls in the bag. If the first ball is not replaced and we have to choose again the probability of choosing the second or third ball would be 1/2 which is changed from the original probability of choosing 1 ball out of 3. In this the outcome of the first event does affect the outcome of the second, so that the probability is changed. This is when choosing is done without replacement.
In this the events are called dependent events.
Consider this scenario again and suppose we replace the first ball after it is chosen back into the bag. Then again we choose another ball . And the probability of choosing the second ball after replacement remains the same as choosing the first ball. In this he outcome of the first event does not affect the outcome of the second, so that the probability remain the same. This is done by replacement.In this the events are independent.
An investor puts $4,500 into a life insurance policy that pays 6% simple annual interest. if no additional investment is made into the policy, how much accumulated interest should the investor expect at the end of 15 years?
A) $4,050
B) $40,500
C) $4,500
D) $405,00
What is the measure of angle CBD? ° What is the length of segment CD? cm Which trigonometric ratio can be used to compare BC to CD using angle CBD? What is the approximate length of BC? cm What is the approximate length of BD? cm
Answer:
Answer: The measure of ∠CBD is 36°. The length of segment CD is 6 cm.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the segment CD will be equal to 12cm (60/5).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1. For a regular pentagon, the measure of an internal angle is equal to 108°, therefore, the measure of ∠ABD is 108°.
2. Since the line CB is bisecting ∠ABD, therefore, the measure of the ∠CBD is 54°.
3. The length of the segment CD will be equal to the length of a side of the pentagon, therefore, the length of the segment CD will be equal to 12cm (60/5).
4. The trigonometric ratio that can be used to compare BC to CD using ∠CBD is Tangent.
5. The approximate length of BC can be determined as,
Tan(54°)=CD/BC
BC = CD/Tan(54°)
BC = 8.719 cm
6. The approximate length of BD can be determined using the Pythgorus theorem,
BD² = CD² + BC²
BD = 10.5835 cm
Learn more about Trigonometric functions:
https://brainly.com/question/6904750
#SPJ2
I need help with this.
Answer:
(3z+15) cm
Step-by-step explanation:
Perimeter: z cm + 8 cm + (z+3) cm + (z+4) cm = z cm + (z+3) cm + (z+4) cm +8 cm = (3z + 7) cm + 8 cm = (3z+15) cm.
On a coordinate plane, triangle G H J has points (1, 1), (4, 1), (4, 5). What is the area of triangle GHJ? 5 square units 6 square units 7 square units 12 square units
Answer:
B: 6 units
Step-by-step explanation:
just took the test
The area of triangle GHJ is 6 square units.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To find the area of triangle GHJ, we can use the formula:
Area = (1/2) x base x height
where the base is any one of the sides of the triangle, and the height is the perpendicular distance from that side to the opposite vertex.
We can choose any side of the triangle as the base, but it is convenient to choose the side that is horizontal or vertical to simplify the calculations.
In this case,
We can choose the base to be the side GH, which has a length of 3 units (since the x-coordinates of G and H are different).
To find the height of the triangle,
We need to draw a perpendicular line from the vertex J to the base GH, and then calculate its length.
Since the x-coordinate of J is 4 and the x-coordinates of G and H are both 1, the base GH is 3 units long.
Also,
The y-coordinate of J is 5, and the y-coordinates of G and H are both 1, so the height of the triangle is 4 units.
The area of triangle GHJ is:
Area = (1/2) x base x height
Area = (1/2) x 3 x 4
Area = 6 square units
Thus,
The area of triangle GHJ is 6 square units.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ7
I'm not exactly sure what this question is asking? This is all information that is given. I don't really need an answer and I could just figure out the rest from there-
Answer:
i think it wants you to find how mnay cubits the pyramid is- but like how are you supposed to do that with the info given hdjbfsd sorry shawty i would ask a teacher on this one :(
Step-by-step explanation:
A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one prism and △DEF for the bases of the other prism.
(a)Is △ABC similar to △DEF? Explain.
(b)Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? SHOW YOUR WORK FOR BRAINLIEST!!
Answer:
a)
Verify is the corresponding sides have same ratio:
AB / DE = 50/60 = 5/6 BC / EF = 20/24 = 5/6Since the ratios are same, the triangles are similar
b)
If one dimension is same, the base areas will make difference by the square of the scale factor:
(6/5)² = 1.44 times
Kensington charges $20 per hour, h, teaching music lessons. Last year, Kensington earned $37,705, including tips, t. Given this information, which of the following equations can be used
the amount Kensington made in tips last year?
Of=37705 + 20h
O t = 37705 - 20h
Ot=37705h + 20
O = 37705h - 20
Answer:B-t=37705-20h
Step-by-step explanation:The answer is B because you need to get rid of all of the money she made working so you subtract 20 by how ever many hours she has worked
Answer:
Second option : t = 37705 - 20h
Step-by-step explanation:
I took the test
PLEASE HELP ASAP RNNNN
Answer:
Step-by-step explanation: b I think
This graph represents the distance a train traveled over a 20-hour time period. Approximately
how far has the train traveled after 1 hour? After 4 hours?
1: After 1 hour 50 miles, after 4 hours 150 miles
2: After 1 hour 20 miles, after 4 hours 100 miles
3: After 1 hour 25 miles, after 4 hours 100 miles
4:After 1 hour 25 miles, after 4 hours 150 miles
commen denominaor for 1/4 2/3
Answer:
The least common denominator is 12.
Step-by-step explanation:
Here's how I got my answer.
First, I listed out the multiples of 4, which is the denominator of 1/4.
4: 4, 8, 12, 16
Next, I listed out the multiples of 3, which is the denominator of 2/3.
3: 3, 6, 9, 12
The smallest number they have in common is 12.
Therefore, the least common demoninator (LCM) is 12.
How do I solve 3x-5>0 ? Can someone explain please
Answer:
Find my Answer attached.
Step-by-step explanation:
9514 1404 393
Answer:
x > 5/3
Step-by-step explanation:
In general, inequalities are solved the same way that equations are: undo what is done to the variable. (Whatever you do to one side of the inequality, you must also do to the other side.)
If you were to evaluate this inequality for some value of x, you would ...
multiply by 3subtract 5When solving for x, you undo these operations in reverse order. You undo the "subtract 5" by doing "add 5" to both sides of the inequality:
3x -5 +5 > 0 +5
3x > 5
You undo the "multiply by 3" by doing "divide by 3" to both sides of the inequality:
(3x)/3 > 5/3
x > 5/3 . . . . . . . the solution
__
Additional comment
The only difference between solving an equation and solving an inequality is that multiplication or division by a negative number reverses the comparison symbol.
Consider -1 > -2. When this is multiplied by -1, it becomes 1 < 2, with the comparison reversed.
__
As you can see, as long as multiplication and division are with positive numbers, the actual comparison symbol doesn't matter:
3x -5 > 0 ⇒ x > 5/3
3x -5 = 0 ⇒ x = 5/3
3x -5 < 0 ⇒ x < 5/3
Can someone please help me with this math problem please:):)
Answer:
y = 126° + 29° = 155°
Step-by-step explanation:
I think this may be a solution:
126°+29°=155°
So, y=155°
how do the two examples differ in their approach to similar subject matter? A example 2 presents the steps for proper tongue care in a detached way, while example 1, reminds us that the tongue is an organ that we rarely take as seriously as we should
Answer:
It's B
Step-by-step explanation:
What is the value of z in the equation 3z + 5 = 4z - 2? I NEED THE WORK
Answer:
z=7
Step-by-step explanation:
3z+5=4z-2
5=4z-2-3z
5=z-2
5+2=z
7=z
z=7
Anastasia has been accepted into a 4- year University as an architect student. She was offered a scholarship of $17,800 per year. The cost per year is $17,400 in tuition and fees, $10,350 for room and board, and 850 for books. What would the cost be after attending school for four years?
Answer:
256,800 I believe
Step-by-step explanation:
you add up all the numbers and multiply by 4
Emmy baked 18 cookies with 3 scoops of flour. With 4 scoops of flour, how many cookies can Emmy bake? Assume the relationship is directly proportional.
Step-by-step explanation:
For 3 scoops = 18 cookies
Lets use the unitary method,
So for 1 scoop, how many cookies?
So, 18 /3 = 6
So, 1 scoop = 6 cookies
So for 4 scoops we will multiply by 6 (as 1 scoop = 6 cookies)
So, 4 x 6 = 24
So, 24 cookies can be made if we add 4 scoops of flour
4 scoops = 24 cookies
yo i need help with this question please and thank u i need the correct answer to please i will give u a brainliest as well
What is the length of the missing side? 7 and 12
Answer: 9.75
Step-by-step explanation:
if the missing side is the leg of the triangle. 13.89 if missing side is the hypotenuse
May someone please help me with this?
Find the solution to the system
of equations.
Which equation has no real solutions?
A 2x2 + 2x + 15 = 0
B 2x2 + 5x – 3 = 0
C 1 x2 + 7x + 2 = 0
D x2 - 4x + 2 = 0
Which number of spins would most likely result in a relative frequency that is closest to the theoretical probability?
• 10 spins
• 50 spins
• 100 spins
• 400 spins
With the spinner shown the theoretical probability of landing on 2 is 0.25!
Answer:
The answer is four since the probability is 1/4 in fraction form
Step-by-step explanation:
hope this helps!
ASAP PLEASE HELP!!!!
this is so confusing to me
a.) 990 is the TOP volume.
b.) 825 is the BOTTOM volume.
c.) 1815 is the total volume.
Hope it helps!
- JK Mitsu
#SpreadTheLove
_________________________________________
Some help so you can be independent next time!
1.) Finding the top volume mean multiplying the height of the top (6 m) , width, and length.
2.) Finding the bottom is the height of the bottom (5 m) , width, and length.
3.) Finding the total is adding both bottom and top!
2 Question 9
Help I’ll give Brainly est
Answer:
it c
Step-by-step explanation:
Use the spinner to find the theoretical probability of spinning a 1 and then a 2. Round answer to the nearest hundredth. A spinner is divided into 9 equal sections. Starting from the top right and moving clockwise direction, the regions are labeled 1,2,3,4,5,6,7,8, and 9. The spinner pointed at near the boundary line of 3.
Answer:
1/18
Step-by-step explanation:
yur welcome
20. A construction company is hired to resurface a straight section of road.
• The section is 100 yards long and 18 feet wide.
• The company's truck can haul 250 cubic feet of gravel per load.
What is the minimum number of truckloads required to completely cover the section of
road to a depth of 6 inches?
A 3
B. 4
C.
10
D. 11
Answer:D
Step-by-step explanation:
Convert 100 yards to feet, which becomes 300 feet.
6 inches into feet, 0.5 feet.
18 feet times 300 feet times 0.5 feet is 2700 cubic feet.
Divide 2700 by 250 and you get 10.8. Meaning, you need 11 trucks since there is a remaining 0.8.
The minimum number of truckloads required to completely cover the section of road to a depth of 6 inches should be 11.
Calculation of the minimum number:Since
The section is 100 yards long and 18 feet wide. The company's truck can haul 250 cubic feet of gravel per load.
So here first we have to convert 100 yards to feet so it should be 300 feet.
Now 6 inches into feet should be 0.5 feet
Now the total be like
= [tex]18 \times 300 \times 0.5[/tex]
= 2700
Now the minimum number should be
= [tex]2700 / 250[/tex]
= 10.8
= 11
Learn more about number here: https://brainly.com/question/24585170
A number of dimes and quarters are worth $2.55. If the number od dimes and quarters were interchanged the resulting new amount would be $2.70. How many of each kind of coin were there before the interchange?
Answer:
8 dimes
7 quarters
Step-by-step explanation:
Let number of
Dimes = x ; quarters = y
10x + 25y = 255 ___(1)
25x + 10y = 270 ___(2)
From (1)
10x = 255 - 25y
x = (255 - 25y) / 10
x = 25.5 - 2.5y
Put x = 25.5 - 2.5y in (2)
25(25.5 - 2.5y) + 10y = 270
637.5 - 62.5y + 10y = 270
-52.5y = - 367.5
y = 367.5 / 52.5
y = 7
x = 25.5 - 2.5(7)
x = 25.5 - 17.5
x = 8
Please, help! Help! Help!
Answer:
HOW DO I ANSWER THIS
Step-by-step explanation:
What are the solutions for 4x^2+81=36x
