Answer:
B.
Step-by-step explanation:
The two dots are on 8 and -9
-9 is less than 8
and 8 is greater than -9
And the dots are solid dots so its greater than or equal to
Hope this helped!
what's the midpoint of (0,9) and (10,5)
Answer:
\((5,7)\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Midpoint Formula: \((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)Step-by-step explanation:
Step 1: Define
Point (0, 9)
Point (10, 5)
Step 2: Find midpoint
Substitute: \((\frac{0+10}{2},\frac{9+5}{2})\)Add: \((\frac{10}{2},\frac{14}{2})\)Divide: \((5,7)\)Step-by-step explanation:
Hey there!
Given points are: (0,9) and (10,5)
Then;
Using midpoint formula;
\((x,y) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )\)
Put all values.
\((x,y) = ( \frac{0 + 10}{2} , \frac{9 + 5}{2} )\)
Simplify it.
\((x,y) = (5,7)\)
Therefore, the midpoint is (5,7)
Hope it helps...
Find the specified areas for a Upper N left-parenthesis 0 comma 1 right-parenthesis density. (a) The area below z equals 1.04 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001 (b) The area above z equals -1.4 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001 (c) The area between z equals 1.1 and z equals 2.1 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001
The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.
To find the area below z=1.04 for an Upper N(0,1) density, you will need to use the standard normal distribution table or a calculator with a z-table function. Here are the steps:
1. Locate the value of z=1.04 in the table or use the calculator's function.
2. Find the corresponding area value (which represents the probability or percentage of values below z=1.04).
The area below z=1.04 is approximately 0.851, rounded to three decimal places.
(b) To find the area above z=-1.4 for an Upper N(0,1) density, follow these steps:
1. Locate the value of z=-1.4 in the table or use the calculator's function.
2. Find the corresponding area value.
3. Since we need the area above z=-1.4, subtract the area value found in step 2 from 1.
The area above z=-1.4 is approximately 1 - 0.0808 = 0.919, rounded to three decimal places.
(c) To find the area between z=1.1 and z=2.1 for an Upper N(0,1) density, follow these steps:
1. Locate the values of z=1.1 and z=2.1 in the table or use the calculator's function.
2. Find the corresponding area values for both z=1.1 and z=2.1.
3. Subtract the area value of z=1.1 from the area value of z=2.1 to find the area between them.
The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.
Learn more about area
brainly.com/question/27683633
#SPJ11
A boat sails on a bearing of 63 for 124 miles and then turns and sails 201 miles on a bearing of 192. Find the distance of the boat from its starting point.
The distance of the boat from its starting point is 156.226 .
According to the question
A boat sails on a bearing of 63 degree for 124 miles
i.e
By making 63 degree covers 124 miles
therefore ,
In figure below
AC = 124 miles
Then turns and sails 201 miles on a bearing of 192 degree
therefore ,
In figure below
CD = 201 miles
Now,
According to the sum of triangle
∠ACB + ∠ABC + ∠BAC = 180°
∠ACB + 90° + 63° = 180°
∠ACB = 27°
CE = 180° (Straight line )
therefore,
∠DCE = 192° - 180°
= 12°
As ∠C = 90°
therefore
∠ACD = ∠C - ∠DCE - ∠ACB
= 90° - 12°- 27 °
= 51°
Now,
The distance of the boat from its starting point = AD
By using Law of Cosines
As
The Law of Cosines can be used to find the unknown parts of an oblique triangle(non-right triangle), such that either the lengths of two sides and the measure of the included angle is known (SAS) or the lengths of the three sides (SSS) are given.
The Law of Cosines (also called the Cosine Rule) says:
c² = a² + b² − 2ab cos(C)
As we have 2 sides and one angle available we can use Law of Cosines
Therefore,
by substituting the value
(AD)² = (AC)² + (CD)² − 2(AC)(CD) cos(∠ACD)
(AD)² = (124)² + (201)² − 2*124*201 cos(51)
AD = 156.226
Hence, the distance of the boat from its starting point is 156.226 .
To know more about Law of Cosines here:
https://brainly.com/question/17289163
#SPJ4
80 points
Question 1(Multiple Choice Worth 4 points)
(07.01)
Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29?
{4, 5, 6}
{3, 4, 5}
{3, 4}
{3}
Question 2(Multiple Choice Worth 5 points)
(07.04)
Fraction 3 over 4x = Fraction 1 over 5. x = ___?
3Fraction 3 over 4
Fraction 11 over 20
Fraction 4 over 15
Fraction 3 over 20
Question 3(Multiple Choice Worth 5 points)
(07.03)
Jen bought a cinnamon bun for $3.42 and a giant candy cane for $5.76. She then used the rest of her money to buy a notebook. She spent a total of $12.83. How much money did Jen spend on the notebook?
$9.41
$7.07
$3.65
$2.34
Question 4(Multiple Choice Worth 4 points)
(07.03)
Bobbi, Kate, and Rebecca earned a combined 12 points during their team's game. Bobbi earned 6 points and Kate earned 3 points. Which of the following equations can be used to determine how many points Rebecca earned?
6 + 3 + n = 12
3x + 6 = 12
6 + 3 = 12 + n
6x + 3 = 12
Question 5 (Essay Worth 6 points)
(07.04)
Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.
Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.
Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it.
Question 6 (Essay Worth 6 points)
(07.02)
Part A: Larry earned $11 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Write an expression with a variable that shows the total amount of money Larry has earned Saturday and Sunday.
Part B: Larry was able to walk 4 more than twice as many dogs as his friend Kyle. Write an algebraic expression to represent the number of dogs Larry walked compared with Kyle.
I already answered 3 and 4
Answer step-by-step explanation:
solution set is { 3,4 }
4/15
3.65
n=9
5x + 4 < 29
5x < 29 - 4
5x < 25
x < 25/5
x < 5
solution set is { 3,4 }
Simple math
1. 3.42 + 5.76 = 9.18
2. 12.83 - 9.18 = 3.65
3.65 would be the cost of the notebook Jen bought
Given that Bobbi, Kate, and Rebecca earned a combined 12 points during their team's game.
If n is the unknown point made by Rebecca then we get
total = 12
Bobbi earned = 6 points
Kate earned = 3 points
Total = 6+3+n =12
So answer is
6+3+n=12
n=9
I guess that this would work for these Part A.....let x be the amount he earned on Sunday.....so
Amount earned on Saturday + amount earned Sunday =
11 + x =
Represents the total amount he earned
Part B
Let N be the number of dogs that Kyle walked
Then, Larry walked 2N + 4 dogs
Then you can also do.....
Anything given that is not a definite number and has phrases like "does not know", "is looking for" will most likely indicate that it is the variable. We can represent the no. of desserts with the variable x like most equations do.
An expression representing how many strawberries will be needed in x desserts: 4x The variable "x" represents the number of desserts Heather will make.
In part B, we are given the ounces of strawberries Heather will be using. With the expression above, we can make an equation out of it. 4x = 24 With "x" of desserts, Heather is making, all we have to do is solve for the value of "x" to find the no. of desserts she will make with 24 ounces of strawberries. Divide both sides by 4. x = 6 She can make 6 desserts with 24 ounces of strawberries.
How many terms are in this expression?
1 + 9u
I
Submit
The lengths of two sides of a triangle are 5 and 14. Find the lengths that the third side must be greater than and less than.
Answer:
The third side of the triangle must be greater than 4 and less than 19. This follows from the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side, and the difference between any two sides of a triangle must be less than the third side. Therefore, the third side must be greater than 4 (5 + 4) and less than 19 (14 - 4).
The diagram shows two parallel lines cut by a transversal.
If the measure of ∠3=(2y+20)∘ and the measure of ∠5=(210−4y)∘, what is the measure of ∠4 ?
Enter the correct answer in the box.
Answer:
∠4 = 110
Step-by-step explanation:
∠3 + ∠5 = 180 {Co-interior angles are supplementary}
2y + 20 + 210 - 4y = 180
2y - 4y + 20 + 210 = 180 {Combine like terms}
-2y + 230 = 180
Subtract 230 from both sides
-2y = 180 - 230
-2y = -50
Divide both sides by (-2)
y = -50/-2
y = 25
∠5 = 210 - 4y
= 210 - 4*25
= 210 - 100
∠5 = 110
∠4 = ∠5 {Alternate interior angles are equal}
∠ 4 = 110°
Answer:
Step-by-step explanation:
110
How do you find the ratios for sin A and cos A?
In given right triangle ACB, the ratios for sin A and cos A :
sin(A) = 48/50
cos(A) = 14/50
Consider the following diagram.
In a right triangle ACB, the angle ACB = 90 degrees.
We know that in right triangle for an angle θ, the trigonmetric ratios are:
sin(θ) = opposite side of θ/ hypotenuse
cos(θ) = adjacent side of θ / hypotenuse
Here, side AC = 14 units, side CB = 48 units and the hypotenuse AB = 50 units
We need to find the ratios for sin A and cos A
In right triangle ACB for angle A,
sin(A) = opposite side of angle A/ hypotenuse
sin(A) = CB/AB
sin(A) = 48/50
And cos(A) = adjacent side of A / hypotenuse
cos(A) = AC/AB
cos(A) = 14/50
Learn more about the ratio here:
https://brainly.com/question/29774220
#SPJ4
A machine has 28 identical components which function independently. The probability that a component will fail is 0.19 . The machine will stop working if more than three components fail. Find the probability that the machine will be working. Round to the nearest thousandth.
By definition of a binomial random variable, the probability that the machine will be working is 0.82045.
Definition of probabilityFirst of all, you should know that the Probability is the greater or lesser possibility that a certain event will occur.
In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.
Definition of random variableOn the other hand, a random variable is a function that associates a real number, perfectly defined, to each sample point.
A random variable is discrete if the numbers it gives rise to are integers.
Definition of binomial distributionFinally, a binomial distribution is a discrete probability distribution that describes the number of successes in performing n independent experiments on a random variable.
The expression to calculate the binomial distribution is:
P(X=x)=(\(n\\ x\)) pˣ qⁿ⁻ˣ
Where:
n = Number of trials/experimentsx = Number of successesp = Probability of successq = Probability of failure (1-p)Remember that:
(\(n\\ x\))=\(\frac{n!}{x!(n-x)!}\)
where the exclamation mark represents the factorial symbol, that is, the product of all positive integers from 1 to n.
Probability that the machine will be workingA machine has 28 identical components which function independently. The probability that a component will fail is 0.19.
The following random variable is defined:
x= the number of components will stop working.
Being n the total number of pieces (in this case, 12 pieces) and p the probability of success (the piece fails, in this case 0.19), the expression to be used is expressed as:
P(X=x)=(\(12\\ x\)) 0.19ˣ (1-0.19)¹²⁻ˣ
P(X=x)=\(\frac{12!}{x!(12-x)!}\) 0.19ˣ (0.81)¹²⁻ˣ
Since the machine will stop working if more than three components fail, you need to know the probability that the machine will be working if 3 or less than 3 components fail. In other words, it may be that 0, 1, 2 or 3 pieces are broken and the machine continues to work:
P(X≤3)= P(X=0) + P(X=1) + P(X=2) + P(X=3)
Then:
P(X≤3)= \(\frac{12!}{0!(12-0)!}\) 0.19⁰ (0.81)¹²⁻⁰ + \(\frac{12!}{1!(12-1)!}\) 0.19¹ (0.81)¹²⁻¹ + \(\frac{12!}{2!(12-2)!}\) 0.19² (0.81)¹²⁻² + \(\frac{12!}{3!(12-3)!}\) 0.19³ (0.81)¹²⁻³
Solving:
P(X≤3)= \(\frac{12!}{0!12!}\) ×1×(0.81)¹² + \(\frac{12!}{1!11!}\) 0.19×(0.81)¹¹ + \(\frac{12!}{2!10!}\) 0.19²×(0.81)¹⁰ + \(\frac{12!}{3!9!}\) 0.19³×(0.81)⁹
P(X≤3)= 1×1×(0.81)¹² + 12×0.19×(0.81)¹¹ + 66×0.19²×(0.81)¹⁰ + 220×0.19³×(0.81)⁹
P(X≤3)= (0.81)¹² + 2.28×(0.81)¹¹ + 2.3826×(0.81)¹⁰ + 1.50898×(0.81)⁹
P(X≤3)= 0.82045
Finally, the probability that the machine will be working is 0.82045.
Learn more about binomial random variable:
https://brainly.com/question/15246027
https://brainly.com/question/13699715
https://brainly.com/question/14482254
https://brainly.com/question/14867806
#SPJ1
f(x) = x^8e^x f'(x) = f"(x) = Find an equation of the tangent line to y= e^x/x, (1, e).
As per the given function, the equation of tangent line is y - e = e(x -1)
The term tangent line in math referred as a function y=f(x) can be calculate the slope by taking derivative m=f′(x) then at a given point (x1,y1) equation of tangent line is given by the formula y−y1=m(x−x1)
Here we have given the expression y = eˣ/x
Now, we have to calculate the tangent line for the given function,
Let us consider, Slope of the tangent line is written as,
=> m = dy/dx
Now, we have written it as,
=> dy/dx = eˣ/x
then the equation is equate with the slope, then we get,
=> m = eˣ/x
When we put the value of x as 1, then we get
=> m = e
Here we know that the point value is (1, e)
Therefore, the equation of the tangent line is written as,
=> y - e = e(x -1)
To know more about Equation here.
https://brainly.com/question/10413253
#SPJ4
other factors held constant, a one-tailed test is more powerful than a two-tailed test.
The given statement is True.
Because the one-tailed test provides more power to detect an effect in one direction by not testing the effect in the other direction.
Statistical PowerIn statistics, power is defined as the likelihood of correctly rejecting a null hypothesis. In other words, avoiding a type II error. There are many ways to increase the power of a study to ensure that significant effects are not missed and incorrect conclusions are not drawn.
The main difference between one-tailed and two-tailed tests is that one-tailed tests will only have one critical region whereas two-tailed tests will have two critical regions. If we require a 100(1−α) 100 ( 1 − α ) % confidence interval we have to make some adjustments when using a two-tailed test.
Learn more about Tailed test at:
https://brainly.com/question/8170655
#SPJ4
can i get some on these please?^^
Answer:
These should be right hopefully! Hope it helps!
Is the number 17 prime or composite? Select the correct explanation. Prime, because its only factors are 1 and 17 Prime, because its factors are 1, 2, 9, and 17 Composite, because its only factors are 1 and 17 Composite, because its factors are 1, 2, 9, and 17
Simplify.
Remove all perfect squares from inside the square root. Assume aaa is positive.
\sqrt{27a}=
Answer:
I hope this is the whole question
Step-by-step explanation:
Well I can only see one way and it is this...
\(\sqrt{27a}\) = \(\sqrt{3.3.3.a}\)
= \(3\sqrt{3a}\)
I got rid of one perfect-square. I dont think you can do much more.
Question 12(Multiple Choice Worth 5 points)
(02.03 MC)
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?
A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure PQRS has P at ordered pair 1, 2, Q at 2,1, R at 3,2, S at 3,3. Figure P prime Q prime R prime S prime has P prime at ordered pair 1,negative 2, Q prime at 2,negative 1, R prime at 3,negative 2 and S prime at 3,negative 3.
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis
Step-by-step explanation:
answer: counterclockwise rotation about the origin by 90degrees followed by reflection about the x-axis.
please give me brainliest:)
Could someone also help me out on this please?
Answer:
A
Step-by-step explanation:
When cross multiplied they equal the same thing
Mr. smith leaves 3 hours before mrs smith. if he averages 55mph and she 65mph how many hours will it take mrs smith to catch up
It will take 16hr 30min for Mrs. Smith to catch up.
To find how many hours will it take Mrs smith to catch up:Let,
t + 3 = Time of Mr. Smith
t = Time of Mrs. Smith
v1 = 55 mph the speed of Mr. Smith
v2 = 65 mph the speed of Mrs. Smith
Formula: Distance = speed × time
v1 ( t + 3) = v2t
55 ( t + 3 ) = 65t
65t = 55t + 165
65t - 55t = 165
10t = 165
t = 16.5 hr
t = 16 hr 0.5 × 60 min
t = 16 hr 30 min
Therefore, it will take 16hr 30min for Mrs. Smith to catch up.
Know more about distance here:
https://brainly.com/question/17273444
#SPJ4
Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops how many hens does her in all if every hens lays 9 on Monday how many eggs will farmer Jim collect on Monday
Question
Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops
a) how many hens does she have ?
b) if every hens lays 9 eggs on Monday how many eggs will farmer Jim collect on Monday
Answer:
a) 240 hens
b) 2160 eggs
Step-by-step explanation:
a) Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops
Hence,
1 coop = 12 hens
20 coops = y hens
Cross Multiply
y hens = 20 coops × 12 hens/1 coop
y hens = 240 hens
Therefore Farmer Jim has 240 hens
b) We are told in question b that: if every hens lays 9 eggs on Monday how many eggs will farmer Jim collect on Monday?
From question a) we determine that the number of hens that Farmer Jim has:
240 hens
Hence,
1 hen = 9 eggs
240 hens = z eggs
z eggs = 240 hens × 9 eggs/1 hen
z eggs = 2160 eggs
Therefore, on Monday Farmer Jim will collect 2160 eggs
There are many cylinders with a height of 9 inches. Let r represent the
radius in inches and V represent the volume in cubic inches.
Complete the table relating the radius and volume of cylinders with
height 9 inches. Write each volume as a multiple of it, just typing the
coefficient in the blank.
Radius
Volume
row 1
1
7T
2
7T
row 2
3
7T
row 3
Is there a linear relationship between the radius and the volume of these
cylinders? Just type Y or N in the blank, and be prepared to explain your
answer.
If a cylinder with height 9 inches and radius r is filled with water, it can fill
a certain pitcher. How many of these pitchers can a cylinder with height 9
inches and radius 2r fill? (Just type the whole number answer.)
Answer: 1- 9
2-36
3-81
Step-by-step explanation:
write the linear equation in slope intercept form.
4x+y=1
Answer: y=-4x+1
Step-by-step explanation:
The slope-intercept form of a line is y=mx+b. Therefore, y needs to be on one side of the equation, and the x term and constant need to be on the other. Rearrange the equation to make this true:
4x+y=1
(4x+y)-4x=1-4x
y=1-4x
y=-4x+1
Write an equation for the line through the point (1,3) parallel to
the line y =
1/2x + 10.
Answer:
y=1/2x+5/2
Step-by-step explanation:
The slope will not change if the line is parallel.
So start with 1/2x and plug in 1.
You will get 1/2 and you need to get a total of 6/2 to get a y of 3.
since you already have 1/2 the remanding value needed is 5/2 and once you add the two you will get 6/2 which equals a y of 3.
BRAINLIEST PERSON WHO GETS IT
Nyoko wrote these two questions.
Equation 1: 6x-5+2x = 4(2x-1) - 1
Equation 2: 3x +7 = bx+7
Part A
Nyoko says that Equation 1 has one solution. Do you agree with her? Explain your reasonings.
Part B
Can Nyoko find a value for b in Equation 2 so that the equation has no solutions? Explain Your REASONING!
a) The equation 1 has an infinite number of solutions, as both linear functions have the same slope and internet, hence Nyoko is incorrect.
b) Nyoko cannot find a value of b so that the equation has no solutions.
How to solve the equations?The equation 1 is given as follows:
6x - 5 + 2x = 4(2x - 1) - 1.
Combining the like terms and applying the distributive property, the simplified equations are given as follows:
8x - 5 = 8x - 4 - 1
8x - 5 = 8x - 5.
As they are linear functions with the same slope and intercept, the number of soltuions is of infinity.
The equation 2 is given as follows:
3x + 7 = bx + 7.
A system of linear equations will have zero solutions when:
The equations have the same slope.The equations have different intercepts.As they have the same intercept for this problem, it is not possible to attribute a value of b such that the equation will have no solution.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
a carpenter is fitting some bookcases to an alcove, using as much of the space as possible from floor to ceiling, a height of 2.5 m. The books to be fitted into the shelves are 210 mm high and a gap of at least 30 mm is necessary above each book so that they can be removed. The shelves are 20 mm thick. The alcove is 1.2 m wide. The bottom shelf should not be less than 300 mm from the ground, as the house-owner cannot bend down easily. How many shelves can be fitted into the alcove?
The number of shelves that fit in the alcove is given by the height of each shelve and the height of the bookshelf above the ground
The number of bookshelves that fit into alcove, is 8 bookshelves
Reason:
Height of the alcove = 2.5 m
Height of the books = 210 mm = 0.21 m
The gap above each book = 30 mm = 0.03 m
The thickness of the shelves = 20 mm = 0.02 m
Width of the alcove = 1.2 m
Height of the bottom shelf above the ground = 300 mm = 0.3 m
Required:
The number of shelves that can be fitted into the alcove
Solution;
Let x, represent the number of shelves that can be fitted into the alcove
We have;
An initial height of the bookshelves above the ground = 0.3 m
Height of a shelve, H = Height of books + Gap above books + Thickness of shelves
Height above ground, including the bottom shelve = 0.3 m
\(x = \dfrac{2.5 - (0.3)}{0.02 + 0.03 } = 8\frac{6}{13}\approx 8.46\)Therefore, the maximum number of whole bookshelves that can be fitted into alcove, x ≈ 8 bookshelves
Learn more here:
https://brainly.com/question/23945932
1. Trini needs more than 51
cubic feet of soil to top up
his raised garden. Each bag
of soil contains 1.5 cubic
feet. Write and solve an
inequality to find how many
bags of soil Trini needs.
Answer:
Step-by-step explanation:
51 feet / 1.5 = 34 bags needed minimum
But trini needs more than 51 bags so:
X>34 is the answer
This figure consists of a rectangle and a quarter circle.
What is the perimeter of this figure?
Use 3. 14 for π.
Enter your answer as a decimal in the box.
The perimeter of the figure is the sum of the lengths of all its sides. To calculate it, we need to find the perimeter of the rectangle and the circumference of the quarter circle and then add them together.
To find the perimeter of the rectangle, we need to sum up the lengths of all its sides. Let's assume the length of the rectangle is 'l' and the width is 'w'. Therefore, the perimeter of the rectangle is 2(l + w).
For the quarter circle, we need to find the circumference. The formula for the circumference of a circle is 2πr, where π is approximately 3.14 and 'r' is the radius. In this case, the radius is equal to half of the width of the rectangle. So the circumference of the quarter circle is 0.5πw.
To find the total perimeter, we add the perimeter of the rectangle and the circumference of the quarter circle:
Perimeter = 2(l + w) + 0.5πw
Now, you can substitute the given values for 'l' and 'w' to find the perimeter. Remember to use the approximation 3.14 for π.
learn more about perimeter here:
https://brainly.com/question/7486523
#SPJ11
We roll a fair 6-sided die 5 times. what is the probability that we get an odd number in exactly 4 of the 5 rolls
Answer:
Step-by-step explanation:
The die is 6-sided. This means that there are 3 odd numbers and 3 even numbers.
When the die is rolled once, the probability of getting an odd number is:
3/6 = 1/2
The probability that this event will occur 4 out of 5 times will be:
4/5 * 1/2 = 4/10 = 2/5
The sum of fifteen and six times a number t is eighty-one.
Answer:
11
Step-by-step explanation:
15 + (6 multiplied by x) = 81
81 - 15 = 66
66 / 6 = 11
In a particular college class, 60% of the students are female. Of the female students, 75% have long hair. One student is picked randomly in the class. What is the probability that it is a female with long.
The probability that it is a female with long hair is 0.75 .
Potential is described by probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability generally refers to the degree to which something is likely to occur. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is. In the probability scale, 0 indicates an impossibility and 1 indicates a certainty. Every event's probability in a sample space is one.
the likelihood of an occurrence, E is
P(E) = The proportion of positive outcomes to all outcomes.
In probability, an event is said to be independent if it is completely unaffected by the occurrence of any other event, and it is considered to be dependent if it is affected by other occurrences.
Using the literature and formulas mentioned above, we have:
Let F stand for the circumstance that the student is a female and L for the circumstance that the student has long hair.
In this illustration, the probability are as follows:
P(F) = 0.60; P(L) = 0.50
P(F AND L) = 0.45 and P(L|F) = 0.75 as a result.
As a result, there is a 0.75 percent chance that a randomly chosen student has long hair.
To learn more about probability , tap on the link below:
https://brainly.com/question/1296187
#SPJ10
Under her cell phone plan, Serenity pays a flat cost of $36 per month and $4 per gigabyte. She wants to keep bill at $51.60 per month.Write and solve an equation which can be used to determine x, the number of gigabytes of data Serenity can use while staying within her budget.
Solvign a linear equation we will see that Serenity can use 3.9 gigabytes of data while staying within her budget.
How to write and solve the equation?
Here we know that the cell phone plan has a flat cost of $36 plus $4 per gigabyte used, so the total cost if Serenity uses x gigabytes will be:
c(x) = $36 + $4*x
And she wants to spend $51.60, then the equation we need to solve is:
$36 + $4*x = $51.60
Solving the linear equation for x we get:
$4*x = $51.60 - $36
x = $15.6/4 = 3.9
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
x/-18=-6 what is x?????
Answer:
x = 108
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
x/-18 = -6
Step 2: Solve for x
Multiply -18 on both sides: x = 108Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 108/-18 = -6Divide: -6 = -6Here we see that -6 does indeed equal -6.
∴ x = 108 is the solution to the equation.