what is the value of x
22x+-15=100
Answer:
X=115/22
Step-by-step explanation:
22x-15=100
22x=100+15
22x=115
X= 115/22
Tony had $z. He lost $3.
a) Write an algebraic expression for the amount he has left.
Answer: T = z - 3
Step-by-step explanation: "T" represents the total amount of money he has left, so T = z [Whatever amount he had to begin with] - 3 [The amount he lost]. Hope that this helps!
Another way to show this equation is with the slope-intercept for of y = x -3
Inclusions are defects in poured metal caused by contamitants. The number of (large) inclusions in cast iron follows a Poisson distribution with a mean of 2 per cubic millimeter. Deter mine the following:
a. Probability of at least one inclusion in a cubic millimeter.
b. Probability of at least 3 inclusions in 4.0 cubic millimeters.
c. Volume of material to inspect such that the probability of at least one inclusion is 0.98
d. Determine the mean inclusion per cubic millimeter such that the probability of at least one inclusion is 0.98.
Answer and Step-by-step explanation:
Solution: given:
(a)
Mean = λ = µ = 2permm3
By using formula:
P(x = k) = λk e- λ / k!
P ( not A) = 1 – p(A)
Passion probability at k = 0
P( x = 0) = 20 e-2/ 0!
= 0.1353
Probability of at least one inclusion:
P(x≥1) = 1- p(x=0) = 1 – 0.1353
= 0.864
(b) Probability of at least 3 inclusions in 4.0 cubic millimeters.
Mean = λ = µ = 2 per mm3
Inclusion in 4 cubic mm = 4 x 2 per 4 mm3 = 8 per 4 mm3
P(not A) = 1 – p(A)
Passion probability at k = 0,1,2
P(x=0) = 80 e-8 / 0!
= 0.00034
P(x = 1) = 81 e-8 / 1!
= 0.00272
P(x = 2) = 82 e-8 / 2!
= 0.01088
Probability at least 3 inclusion:
P(x≥3) = 1 – p(x<3) = 1 – p(x = 0) – p(x =1) – p(x = 2)
= 1 – 0.00034 – 0.00272 – 0.01088
= 0.98606
(c) . Volume of material to inspect such that the probability of at least one inclusion is 0.98
The probability of x ≥ 1 has to be equal to 0.98
P(x ≥ 1) = 0.98
P(x = 0) = p(x < 1)
= 1 – p(x≥ 1) = 1 – 0.98
= 0.02
Poission probability at k = 0
P(x = 0) = (2 n )0 e-2n / 0! = e-2n
e-2n = 0.02
taking ln on both sides :
-2 n = ln e-2n = ln 0.02
Divided by -2,
n = ln 0.02 / -2
= 1.955
Volume is 1.955 mm3.
(d) Determine the mean inclusion per cubic millimeter such that the probability of at least one inclusion is 0.98.
The probability of x ≥ 1has to be at least 0.98
P(x ≥ 1 )≥ 0.98
P(x = 0 ) = p(x < 1 ) = 1 – p(x≥1) = 1- 0.98
= 0.02
Poisson probability at k = 0
P(x = 0) = λ0 e-λ / 0! = e-λ
e-λ ≤ 0.02
taking ln on both sides:
ln e-λ ≤ ln 0.02
λ = ln 0.02 / -1
= 3.912
5 Isabella ran the 100-meter dash five times. The time it took her to complete each
race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.
Part A
Isabella wants to order the race times from her longest time to her shortest time.
Write the decimals in order from greatest to least.
12.87
12.1.
12.07
12.07
DE
Answer:
12.87 12.1 12.07 12.07
Step-by-step explanation:
Please help me with this
(Image)
10pts)
3/4(8x+12)+4/5(25x+20)
simplify quick please D:
Answer:
26x + 25
Step-by-step explanation:
3/4(8x + 12) + 4/5(25x + 20)
Distribute
3/4(8x) + 3/4(12) + 4/5(25x) + 4/5(20)
24/4x + 36/4 + 100/5x + 80/5
Reduce the fractions
6x + 9 + 20x + 16
Combine like terms
26x + 25
A solid shape is made by joining two cones. Each cone has the same radius. One cone has The other cone has slant height = 2x radius The total surface area of the shape is slant height = 3x radius 57.8 pi cm^ 2 Curved surface area of acone = pi*r * l where r is the radius and I is the slant height Work out the radius. Each cone has the same radius.
The given area of the shape of 57.8·π cm², and length of the slant sides
being a factor of the radius, gives the length of the radius as 3.4 cm.
How can the length of the radius be calculated?Given;
Radius of the two cones are equal.
Slant height of one cone = 2 × Radius
Slant height of the other cone = 3 × Radius
Surface area of the shape = 57.8·π cm²
The curved surface area of a cone = π·r·l
Required:
The radius of the cone.
Solution;
Surface areas of the cones are therefore;
π·r × 2·r, and π·r × 3·r
The total surface area is therefore;
π·r × 2·r + π·r × 3·r = 57.8·π
5·r²·π = 57.8·π
Which gives;
r² = 57.8 ÷ 5 = 11.56
r = √(11.56) = 3.4
The radius of the cones, r = 3.4 cmLearn more about finding the surface area of 3-D shapes here:
https://brainly.com/question/15635229
A grocery orders 4 large containers of milk for every 7 small containers of milk.Which ratio could present the number large containers of milk to small containers of milk in an order from the grocery store?
Answer:
4 : 7
Step-by-step explanation:
A professor of statistics noticed that the marks in his course are normally distributed. He also noticed that his morning classes average 71% with a standard deviation of 12% on their final exams. His afternoon classes average 78% with a standard deviation of 8%. A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class? Probability = B. What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class? Probability =
Answer:
0.3137 ; 0.2228
Step-by-step explanation:
Given a normal distribution :
Morning class :
Mean(Mm) = 71%
Standard deviation (Sm) = 12%
Afternoon class:
Mean(Ma) = 78%
Standard deviation (Sa) = 8%
M = Mm - Ma = (71 - 78) = - m7
S = √Sm + Sa = √12² + 8² = √208
A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class?
P(morning > afternoon) = p(morning - afternoon > 0)
Using:
Z = (0 - (-7)) / S
Z = 7 / √208
Z = 0.4853628
P(Z > 0.49) = 0.3137
B)
What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class?
Using:
Z = (4 - (-7)) / S
Z = 11 / √208
Z = 0.7627127
P(Z > 0.49) = 0.2228
The Brown family has a 15 year old home loan. How many months is their home loan
Answer:
180 months
Step-by-step explanation:
15x12=180
Answer:
180 months
Step-by-step explanation:
15 (years)12 (months in a year)15x12=180 months totalHope I helped:)
-Adiel
Cheryl wants to save at least $500 to buy a video game console. She already has $100 saved up and is going to babysit for $20 an hour until she can save up the rest. Write an inequality to represent this scenario, then solve the inequality to find out the minimum number of hours she must babysit to save a total of $500?
Answer:
x + 5 ≥ 25 [Inequality]
Minimum no. of hours = 15 hours
Step-by-step explanation:
Given :-
Price of video game console = $500
Money in hand = $100
Rate at which money is gained = $20/h
To Find :
Inequality to represent the situation
Variables :-
h = number of hours
Solving :-
20x + 100 ≥ 500
x + 5 ≥ 25 [Inequality]
x + 5 ≥ 20
x ≥ 15
Minimum no. of hours = 15 hours
Plato please help me
If we plot it, we see that the two inequalities have no commonality in any range of numbers.
Thus I think it never alerts.(( I'm not sure about it ))
Drag each coordinate pair to the correct location on the table. Each coordinate pair can be used more than once, but not all coordinate pairs will
be used.
A system of inequalities is graphed below.
1
2
у
4
6
4
2
1-6
-4
2
2
6
4
6
Determine if each point satisfies one of the Inequalities or the system graphed. Then, place each solution point in the correct category. If the
point is a solution for more than one category, place the point in each category that is satisfied.
(-3,-4)
(-4,-5)
(-1,-1)
(-3,6)
(2,6)
(1,-3)
(-2,5)
Answer:
For inequation 1:
(2, 6)(1, -3)(-2, 5)
For inequation 2:
(2, 6)(-1,-1)(-3. 4)(1,-3)
For the system:
(2, 6)(1, -3)
Step-by-step explanation: got it right on the test
Worked out 67.5÷16.875
Answer:
Step-by-step explanation:
your answer if 4
- 12, -4,4, 12,
What is the tenth term?
How to get 24 by integers
Answer:
There is no particular formula for integer as it is nothing but a set of numbers. But there are certain rules when we perform any mathematical operations like addition, subtraction, etc on integers: Adding two positive integers will always result in a positive integer.
Step-by-step explanation:
Solve the inequality.
7(2 − x) − 4(2 − 3x) > 2
The solution is
Please help ASAP
a recipe call for 3 cups of flour and 2 tablespoons of butter .How many tablespoons of butter would be needed if the amount of flour were increased to 12 cups
Answer:
8 tablespoons of butter.
Step-by-step explanation:
12/3= 4
4x2= 8
How do you do this problem?
Answer:
55°
Step-by-step explanation:
In the triangle towards the bottom-left, we can see that it is an iscosceles triangle, which means that the two angles opposite of those two sides are also equal. Along with this, a triangle will also only have 180° for the sum of all of its angles.
When you put another x in the angle next to the 37°, you get an equation similar to:
[tex]x+x+37+33 = 180\\2x + 70 = 180\\2x = 110\\x = 55[/tex]
x in this case will then be 55 degrees.
Which of the following is a perfect square?Single choice.
a) 1057
b) 625
c) 7928
d) 64000
Answer:
b. 625
Step-by-step explanation:
you just have to find the square root
which is 25
the rest have decimals
Need this answer if any 9ne no it
Answer:
I think it's 2
Step-by-step explanation:
You have to put x and y in the right places where they belong, where x = - 1 and y = 2, that's it !
solve the equation 2(x+3)=X-4
Answer:
x = -10
Step-by-step explanation:
2(x + 3) = x - 4
2x + 6 = x - 4
x = -10
Select the correct answer.
Chase is constructing equilateral triangle EFG inscribed in a circle.
He begins by using a compass to draw circle X. He then uses a straightedge to draw a diameter of the circle and labels the endpoints D and E.
How can Chase find points Fand G?
OA.
Points Fand G are endpoints of a chord that is perpendicular to and bisects DE.
OB.
Points F and G are the points where circle X intersects a congruent circle centered at D.
O c.
Points Fand G are the points where circle X intersects a congruent circle centered at E.
OD
Points F and G are points of intersection of two congruent circles centered at D and E.
In the construction of the equilateral triangle EFG inscribed in a circle, Chase can find points F and G as D. Points F and G are points of intersection of two congruent circles centered at D and E.
What is an equilateral triangle?It should be noted that an equilateral triangle simply means a triangle that has all the sides and angles to be equal.
After drawing the diameter of the circle through the center, it's important to open the compass to a width that's equivalent to the radius the circle.
In this case, it can be deduced that Points F and G are points of intersection of two congruent circles centered at D and E.
Learn more about triangles on:
https://brainly.com/question/17335144
Answer: D
Step-by-step explanation:
I got it write on edmentum
A bottle contains 125 multivitamin tablets. Each tablet contains 20 milligrams of niacin.
How many grams of niacin in all are contained in the bottle?
Answer
2.5
Step-by-step explanation:
125 vitamins, 20 milligrams in each.
convert 20 milligrams to grams, 0.02
multiply 0.02 by 125
2.5
Answer2.5
Step-by-step explanation:
hope it helps
La edad actual de Jorge es el triple que la de Perdro y dentro de 10 años será el doble. Cuál es la edad actual de cada uno de ellos?
Necesito operación por favor.
Answer:
Planteas un sistema de ecuaciones 2x2 y solucionas por el método que prefieras.
Step-by-step explanation:
Edad de Jorge: j
Edad de Pedro: p
[tex]\left \{ {{j=3p}\atop {j+10=2(p+10)}}\right.[/tex]
Ec (1) en Ec (2)
[tex]3p+10=2(p+10)[/tex] → [tex]3p+10=2p+20[/tex] → [tex]3p-2p=20-10[/tex] → [tex]p=10[/tex]
Reemplazamos en Ec (1)
[tex]j=3(10)[/tex] → [tex]j=30[/tex]
Por ende, Jorge tiene 30 años y Pedro 10
may anyone give me an example please , this is an instruction of what we should do , we have to make a video and I need an idea.
Answer:
Make a presentation/video explaining how you convert the measures of length stated, using an object. Use different objects for different lengths. I'm guessing you do online school? So, send it to your teacher or instructor when you're done.
I need help on number 3 please.
m = (1 +19)(2) How do i solve it?
Answer:
40
Step-by-step explanation:
Firstly, i solved for the first pair of parenthesis and got 20. If there is no sign in between a pair of brackets of parenthesis its multiplication
Put as brainliest if you wish
What is the length of AB?
B
4x
2x + 6
50"
A
50°
C
O A. 9
O B. 3
O C. 12
O D. 6
Answer:
C. 12
Step-by-step explanation:
[tex]4x=2x+6[/tex]
[tex]4x-2x=6[/tex]
[tex]2x=6[/tex]
[tex]x=3[/tex]
~
[tex]AB=4x\\=4(3)\\=12[/tex]
~
Therefore, your answer is C) 12 !!!!!!
How many minutes will she need to finish labeling all books if she takes no breaks and labels 15 books a minute? *
Answer:
15 i think but im sry if i get it wrong
step-by-step explanation: