Answer:
P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Step-by-step explanation:
Mean = 63
Standard Deviation =6
We need to find probability that X lies between 45 and 81 i.e P(45<X<81)
First we will find z-score for X=45 and X=81
For X=45 the z-score can be found using formula: [tex]z-score=\frac{X-\mu}{\sigma}[/tex]
Putting values and finding z-score
[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{45-63}{6}\\z-score=-3[/tex]
For X=45, z-score is -3
For X=81 the z-score can be found using formula: [tex]z-score=\frac{X-\mu}{\sigma}[/tex]
Putting values and finding z-score
[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{81-63}{6}\\z-score=3[/tex]
For X=81, z-score is 3
Now finding the probability of P(-3<z<3)
It can be solved as:
P(-3<z<3)=P(z<3)-P(z<-3)
Looking at the z-score table to find
P(z<3)= 0.9987
P(z<-3)=0.0013
So, P(-3<z<3)=P(z<3)-P(z<-3)
P(-3<z<3)=0.9987 - 0.0013
P(-3<z<3)=0.9974
or P(-3<z<3)= 99.74%
So, P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Plz help me with this?!?! I will mark you brainliest!!!
Answer: 2/5 liters
Step-by-step explanation: This is because you need to add 1/10 and 3/10. The answer is 4/10, which can be simplified to 2/5.
There are 120 students and 23 teachers going on a class trip. The buses used for the class trip hold at most 45 passengers. How many buses will be needed?
Answer: 4 busses if each bus only hold 45 passengers at most.
Step-by-step explanation:
120 students
23 teachers=143 people
143 divided by 3 busses is only 47 so 3
busses wouldn’t be enough
Solve the question above please <3
Determine whether the lines are parallel, perpendicular, or neither. Justify your answer. y = 2x - 8
Y = 1/2x + 6
⚠️if you answer correctly I will give you brainliest
Answer:
perpendicular
Step-by-step explanation:
it is perpendicular because you flipped and negative the slope. if it was parallel the slope would be the same with no negative
Which expression is equivalent to 5(2y + 8) − 4y ?
A. 6y + 40
B. 6y + 8
C. 14y + 40
D. 14y + 8
CMON PLEASE ITS TIMED.
Answer:
I also think its A.
Step-by-step explanation:
10y + 40- 4y
(10y-4y)+40
6y+40
Us
What is the mole fraction of KCl in an
aqueous solution that contains
26.3% KCI (weightweight %)?
Answer:
0.0794%
Subtract the 26.3 from 100 and get the amount for water giving you 73.7
Divide both from their molar masses
26.3/74.55=0.3528
73.7/18.016=4.0908
Add both answers, 0.3528+4.0908=4.4436
Divde the KCl total from the the total moles which gives you your final amswer
0.3528/4.4436=0.0794
Answer: 0.0794
Step-by-step explanation:
There is a line that includes the point (2, 10) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
Answer:
The line is y=1x+8
Step-by-step explanation:
We can use point-slope form of a line to make an equation. Point-slope form is as follows:
y-y₁=m(x-x₁)
**The variables y₁ and x₁ are where we will plug in our given coordinates and the variable m is your slope.
1. Plug in the given info:
y-10=1(x-2)
2. Distribute the 1:
y-10=1x-2
3. Add 10 to both sides:
y=1x+8
Wendy stops running
A.Speed
B.Velocity
C.Acceleration
Answer:
i think is c tell me if im right
A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For that purpose, she assigned each student a number. Then she rolled two dice numbered from 1 to 6 three times and selected the student whose number was repeated most often.
Which of the following best describes the method used by the principal?
It's an unfair method because each student will not post the same outcomes.
It's a fair method because each result is an equally likely possible outcome.
It's a fair method because it's a limited number of students.
It's an unfair method because two or more students could get the same results.
Answer: It's an unfair method because two or more students could get the same results./ D
Step-by-step explanation: hope this helps
Answer:
B. It's a fair method because each result is an equally likely possible outcome.
Step-by-step-explanation :
According to the question , there are a total of 6 students to be selected by the principal.
So, the principal chose to roll two dice numbered 1, 2, 3, 4, 5, 6 for the selected students and choose the one whose number is most repeated.
Since we have sis sides on a dice , 2 dice [tex]= 6\times6=36[/tex]
The probability that a student will choose one number :[tex]\frac{1}{36}[/tex]
Thus, the selection of each student is given by the number
[tex]\frac{1}{36}[/tex]
So,each result is an equally likely possible outcome.
So, the principal choose a fair method.
directions - solve the liner system. enter your answer as an ordered pair. 2x + 3y = 31 y = x + 7
(1) 2x + 3y = 31 y
(2) 2x + 3y = x + 7
(3) 31y = x + 7
(3) x = 31y - 7
(2) 2(31y - 7) + 3y = 31y - 7 + 7 ; 62y - 14 + 3y = 31y ; 34y = 14 ; y = 14/34 ; y = 7/17
(3) x = 31y - 7 ; x = 31*(7/17) - 7 ; x = (217 - 119)/17 = 98/17
x = 98/17 ≈ 5.76
y = 7/17 ≈ 0.41
complete the last four terms by dragging the missing value to correct locations in the expression
Answer:
Brainly does not have the correct answer listed as a choice - it should be [tex]2187y^{14}[/tex]
Step-by-step explanation:
Tommy had a rectangular strip of paper that is 21 cm long. If he cuts it into smaller pieces, each 2 1/3 cm long, how many pieces of paper will he have?
Answer:
The answer is 9.
Explanation: 21÷ 2 1/3= 9
Answer:
9
Step-by-step explanation:
Use the extended form find the perimeter of the square shape of 10cm and 18cm
Jim has 3 pairs of pants
and 2 shirts. How many
different ways can he
dress?
Answer:
2 to 5 different ways
Step-by-step explanation:
Answer:
12 different ways he can dress
Step-by-step explanation:
Let The Pant be A and Shirt be B
So, we have 3 pair of pants i.e., 6 Pants
Here, We assumed that the pant be A then 6 pants be
A₁ A₂ A₃ A₄ A₅ A₆
Now, For Shirts
We have 2 Shirts
But we assumed that the Shirt be B then 2 Shirts be
B₁ B₂
Then, We will make pair of A and B
A₁ = B₁
A₂ = B₁
A₃ = B₁
A₄ = B₁
A₅ = B₁
A₆ = B₁
A₁ = B₂
A₂ = B₂
A₃ = B₂
A₄ = B₂
A₅ = B₂
A₆ = B₂
Thus, 12 different ways he can dress
-TheUnknownScientist
A family's monthly utility costs are: phone $200, electric $100, cable TV $100, water/gas $50, internet $50. By eliminating cable, by what percent does the family reduce total utility cost?
Answer: The total will drop by 20%
Which of the following angles would not be congruent to the measure of ∠7? HELPPP!!!
Answer:
6, 2, & 3
Step-by-step explanation:
I hope that this answer helps, feel free to ask questions
which of the following inequalities matches the graph?
10 times as much as 72.67
Answer:
726.7 hope this helps
A school bought $548 in basketball equipment and uniforms costing $29.50 each. The total cost was $2,023. Write an equation you can use to find the number of uniforms the school purchased.
(a) what would the variable (x) represent in this problem?
(1) the cost of the uniforms
(2) the number of basketballs purchased
(3) The number of uniforms purchased
(b) what is the total cost of the equipment and uniforms? |____________| (no symbols)
(c) write an equation to represent this problem. use x as your variable. |___________|
Answer:
Step-by-step explanation:
Using the graph, determine the coordinates of the x-intercepts of the parabola.
Y
Answer: -2 and 4
Step-by-step: You see the horizontal line? now look at the the numbers -2 and 4 on that line. Notice how the line passes through them? those are your x-intercepts.
The required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).
What is x-Intercept?The x-intercept is defined as an intercept that is located at the x-axis of the plane, which is the location or coordinates from where the line crosses.
We have to determine the coordinates of x-intercepts and y-intercepts that would function in the given graph.
The parabola of the graph is given in the question
A horizontal axis, or x-axis, and a vertical axis, or y-axis, are present in a 2-dimensional coordinate graph. Intercepts are the points (0, -2) and (0, 4) here lines representing a range of values intersect these axes.
Therefore, the required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).
Learn more about the x-intercept here:
https://brainly.com/question/14180189
#SPJ2
In a really exciting part of the book, the student read 18 pages in one sitting. For how many minutes did she read?
What is the sign of the product (-5)(-3)(-8)(-6)? (5 points)
Answer:
750
Step-by-step explanation:
brainliest please
Answer: positive
Step-by-step explanation:
two negatives equals a positive
50 POINTS!!!!
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+212x+139
How many different ID cards can be made if there are six digits on a card and no digit can be used more than once?
Answer:
10
Step-by-step explanation:
write down the relation between mass and inerti
Answer:
The mass of an object is directly proportional to its inertia.
[tex]m\alpha I[/tex]
Where
m = mass
I = inertia
Step-by-step explanation:
We can first of all start by defining the two key terms present here - mass and inertia.
The mass of an object is the quantity of matter contained in the object.
The inertia of an object is the resistance of an object which is in a state of rest to motion
The mass of an object is directly proportional to its inertia.
The heavier an object is, the more inertia it has. To put things into perspective, you can easily push a bicycle because it does not really have a lot of mass, as opposed to pushing an eighteen-wheeler trailer.
2= f/8 f= solve the equation
24 € (17, 19, 21,..., 35)
Is it true or false
Answer:
true
Step-by-step explanation:
WILL GIVE BRAINLIEST ANSWER!
You are locked out of your house and the only open window on the second floor is 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There is a bush along the edge of the house, so you will have to place the ladder 10 feet from the house. What length of the ladder do you need to reach the window?
Find all solutions to the equation $x^2 - 8x = -16$.
Answer:
x = 4
Step-by-step explanation:
x^2 - 8x = -16
Add 16 to both sides.
x^2 8x + 16 = 0
This may be the square of a binomial.
x^2 is the square of x
16 is the square of 4 and -4.
Let's check the middle term:
2ab = 2(x)(-4) = -8x
Yes, it is the square of a binomial.
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x - 4 = 0 or x - 4 = 0
x = 4 or x = 4
Answer: x = 4