I found: Domain: all real x ; Range: all real y
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Solution needed with a fair explanation
Answer: c. 0.40396
Step-by-step explanation:
The total number of flaws is given by:
[tex]{\left({0}\times{4}\right)}+{\left({1}\times{3}\right)}(0\times4)+(1\times3) +{\left({2}\times{5}\right)}+{\left({3}\times{2}\right)}+(2\times5)+(3\times2) +{\left({4}\times{4}\right)}+{\left({5}\times{1}\right)}+(4\times4)+(5\times1) +{\left({6}\times{1}\right)}+(6\times1)={46}=46[/tex]
Average number of flaws for the 20 sheets : [tex]\displaystyle\mu=\frac{46}{{20}}={2.3}[/tex]
Required probability : [tex]=P(X\geq3)=1-P(X<3)[/tex]
[tex]=1-[P(X=0)+P(X=1)+P(X=2)][/tex]
[tex]=1-(\dfrac{e^{-2.3}2.3^0}{0!}+\dfrac{e^{-2.3}2.3^1}{1!}+\dfrac{e^{-2.3}2.3^2}{2!})\ \ \ [\text{Poisson distribution formula: }P(X=x)=\dfrac{e^{-\mu}\mu^x}{x!}]\\\\=1-0.596038825932=0.403961174068\approx0.40396[/tex]
Hence, c. is the correct option.
please answer!
The equation d = 30 − 60h gives the distance d in miles that a bus is from the station h hours after leaving an arena. How far is the station from the arena?
A. 0.5 miles
B. 120 miles
C. 30 miles
D. 60 miles
Amswer
it is b Step-by-step explanation:
The product of t and 6 is greater than 12
Answer:
A possible answer for t could be 3
Step-by-step explanation:
I honestly don't know if this is right, but yeah here ya go!
All values of t which are greater than 2 , are the solutions of given inequality.
Inequality :It is given that,
The product of t and 6 is greater than 12.
So that, inequality is,
[tex]6*t > 12[/tex]
Divide both side by 6.
[tex]6*t > 12\\\\t > \frac{12}{6} \\\\t > 2[/tex]
Therefore, all values of t which are greater than 2 , are the solutions of given inequality.
Learn more about the inequality here:
https://brainly.com/question/24372553
A student is trying to solve the system of two equations given below:
Equation P: y + z = 6
Equation Q: 3y + 4z = 1
Which of the following is a possible step used in eliminating the y-term?
Answer:
Step-by-step explanation:
one step can be multiply equation P by -3 and add it to the equation Q
Which quadrant is the following point in?
Point A (1,3)
Answer:
Its first quadrant bro.
i need help with this practice problem
Answer:
Step-by-step explanation:
V of a sphere is (4/3)*pi*r³, and because we have 3 scoops
V = 3* (4/3) * 3.14 * 4³ = 4* 3.14 * 4³ = 803.84 cm³
Find the slope of the line through each pair of points (-5, -3), (19, 19)
Answer:
[tex]m = \frac{11}{12} [/tex]
Step-by-step explanation:
m= (y2-y1) / (x2-x1)
m = 19 - (-3) / 19 - (-5)
m = 22 / 24
m = 11/12
HELPPPP PLEASE ASAPPPP
Answer:
it the 3rd one
Step-by-step explanation:
because you are comparing the it
Find m∠1. Then classify the triangle by its angles.
The triangle can be classified by its angles as
A. Right
B. Obtuse
C. Equiangular
D. Acute
The measure of angle 1 from the given triangle is 81°.
In the given triangle, the measure of two angles are 78° and 31°.
What is angle sum property of a triangle?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
From the angle sum property of triangle,
78°+31°+m∠1=180°
⇒ 109°+m∠1=180°
⇒ m∠1=180°-109°
⇒ m∠1=81°
Therefore, the measure of angle 1 from the given triangle is 81°.
#SPJ2
A local animal shelter has 600 cats and dogs. There are 2 times more cats than dogs. Let x represent the number of cats and let y represent the number of dogs. Which system of equations represents this situation?
Answer:
2x + y = 600
Step-by-step explanation
Answer:
1,200x + 600y or 2x + y= 600
Step-by-step explanation:
knowing that there are 600 cats and 2 times the amount of cats we will have 1,200 cats which is 1,200x + 600y
Find the distance between the points A(2,-1) and B(-4, 2). (simplify your answer)
Answer:
[tex]d = 3\sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point A (2, -1)
Point B (-4, 2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(-4-2)^2+(2+1)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-6)^2+(3)^2}[/tex]Exponents: [tex]d = \sqrt{36+9}[/tex]Add: [tex]d = \sqrt{45}[/tex]Simplify: [tex]d = 3\sqrt{5}[/tex]Which ordered pairs are soultions to the inequality y-2x<-3
Answer:
(-3, 3/2)
Step-by-step explanation:
Given the inequality function y-2x<-3, to get the solution, we will need to find the x and y-intercept of the inequality function
y-intercept occurs at x = 0
Substitute x = 0 into the expression
y - 2(0) < -3
y < -3
Find the x-intercept by substituting y = 0 into the expression
0 - 2x < -3
-2x < -3
x > 3/2
Hence the ordered pair is (x, y) = (-3, 3/2)
Last year at a certain high school, there were 96 boys on the honor roll and 60 girls on the honor roll. This year, the number of boys on the honor roll increased by 25% and the number of girls on the honor roll increased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
19%
Step-by-step explanation:
Last year:
Number of boys on honor roll = 96
Number of girls on honor roll = 60
Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll
= 96 + 60
= 156
This year:
The number of boys on the honor roll increased by 25%
Number of boys on honor roll = 25% of 96 + 96
= 0.25×96 + 96
= 24 + 96
= 120
The number of girls on the honor roll increased by 10%.
Number of girls on honor roll = 10% of 60 + 60
= 0.10 × 60 + 60
= 6 + 60
= 66
Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll
= 120 + 66
= 186
Percentage the total number of students on the honor roll increase = (186 - 156) / 156 × 100
= 30 / 156 × 100
= 0.19 × 100
= 19% to the nearest tenth
Answer: 19.2%
Step-by-step explanation:
4 A nurse is administering pain medication to
a patient. The patient's chart says that
the patient received 650 milligrams of
medication yesterday, and today he is to
receive 75% less medication than he did
yesterday. How many milligrams of pain
Someone please answer and justify thanks :)
medication should the nurse administer to
the patient today?
F 162.5 milligrams
G 262.5 milligrams
H 487.5 milligrams
J 575.0 milligrams
Help me plssss!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
the 0.1 is rate of change decreasing and 10.1 is original amount
rewrite the equation in standard form
Answer:
The answer is D.
Step-by-step explanation:
sooo UwU which becomes O////O then becomes T.T
I climbed 775 steps in 12 1/2 seconds
how many steps did i average climb per minute?
Answer:
3720
Step-by-step explanation:
60/12 1/2
*775
Answer:
Per minute is 3720 steps.
Step-by-step explanation:
60 divided by 12.5 = 4.8
4.8 times 775 = 3720
HELP TY PLS AND TY!!!!
Answer:
I think its the third step like the other person said
Step-by-step explanation:
Leila received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.58 per pound. After buying the coffee, she had $34.52 left on her card. How many pounds of coffee did she buy?
Answer:
4.55 or about 5 pounds
Step-by-step explanation:
I did 34.52 / 7.58 = 4.55 or rounded up, to about 5 pounds :D
which ratio is same as 2/3
The ratio 4/6 is the same as 2/3 because they have the same proportion.
To find a ratio that is the same as 2/3, multiply or divide both the numerator and the denominator by the same non-zero number.
1. Multiplying by the same number:
If you multiply both the numerator and the denominator of 2/3 by 2, you get:
= (2 × 2) / (3 × 2)
= 4/6
So, the ratio 4/6 is the same as 2/3.
2. Dividing by the same number:
Divide both the numerator and the denominator of 2/3 by 3, you get:
= (2 ÷ 3) / (3 ÷ 3)
= 2/3
So, the ratio 2/3 remains the same.
In conclusion, the ratio 4/6 is the same as 2/3.
Learn more about Ratio here:
https://brainly.com/question/32531170
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Which decimal is equivalent to 40?
moving company rents moving trucks for $20 plus $0.19 per mile. Suppose a customer’s total bill for renting a truck comes to $34.06. How many miles did the customer drive? Write an equation and explain how you used it to find your answer.
Answer:
34.06=20+0.19m
Step-by-step explanation:
The 20 dollars is a one-time thing so we don't need a variable for that. The 0.19 per mile does because the cost will depend on how many miles you drove (I used the variable 'm' but you could use a different letter). Altogether the bill costs 34.06 so that will go on the opposite side of our equal side.
34.06=20+0.19m
First we need to isolate 0.19m to find the number of miles the customer drove, and we can do that by subtracting 20 on each side.
34.06-20=20-20+0.19m
14.06=0.19m
Now we divide 0.19 because 0.19 is multiplied to m and division is the opposite operation
m=74
This means that the customer drove 74 miles.
If it takes 42 strokes to fill up 3/5 of a line of typing, how many more strokes will it take to complete the line?
Answer:
28 strokes
Step-by-step explanation:
The computation is shown below:
It is given that the 42 strokes are required to fill up the 3 by 5th
So for completing the line, the number of additional strokes required is
But before the total strokes required is
= 42 × 5 ÷ 3
= 70
This represent the total
so, the additional strokes is
= 70 - 42
= 28 strokes
Which number is the additive inverse of -5?
Answer:
5
Step-by-step explanation:
Because -5 is a negative number and the opposite of negative is positive and 5 is positive.
Final Answer: [tex]5[/tex]
Steps/Reasons/Explanation:
Write down [tex]-5 + x = 0[/tex] because this is our equation with [tex]-5[/tex] plugged in to get an additive inverse. We will have to add [tex]5[/tex] to both sides. This means our additive inverse is positive [tex]5[/tex].
Question: Which number is the additive inverse of [tex]-5[/tex]?
[tex]-5 + x = 0[/tex]
Step 1: Regroup terms.
[tex]x - 5 = 0[/tex]
Step 2: Add [tex]5[/tex] to both sides.
[tex]x = 5[/tex]
~I hope I helped you :)~
Una casa de dos plantas esta construida en un terreno rectangular de 66m² , tal como lo muestra los siguientes pasos si x es el frente de la casa y x+5 el largo. De la ecuacion cuadratica que define el area del terreno es x² + 5x-66=0 ¿Cuanto mide el frente de la casa?
Answer:
El frente de la casa es 6 metros.
Step-by-step explanation:
El area de la casa está dada por el área de un rectángulo:
[tex]A = f*l = x (x+5) = 66[/tex]
En donde f es el frente = x , l es el largo = x+5 y A es el área = 66m²
Si la ecuación cuadrática que define el área del terreno viene dado por:
[tex] x^{2} + 5x - 66 = 0 [/tex]
Resolviendo la ecuación cuadrática para x tenemos:
x₁ = -11 y x₂ = 6
Tomando el valor positivo, podemos decir que el frente de la casa es 6 metros.
Espero que te sea de utilidad!
OFFERING A LOT OF POINTS (PLEASE DONT TAKE THIS QUESTION DOWN BRAINLY MODERATORS, i HAVE WORKED ON THIS QUESTION FOR THE PAST HOUR AND CANT GET IT RIGHT, NEED HELp),
im confused on this question of my virtual math homework, can anyone help? thanks in advance
Answer:
b) 75%
c) 150%
d) 90%
Step-by-step explanation:
the two lines graphed on the coordinate grid each responds an equation witch orderd pairs represents a solution to both equations
Answer:
Step-by-step explanation:
Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships.
You can use a coordinate plane to plot points and to map various relationships, such as the relationship between an object’s distance and the elapsed time. Many mathematical relationships are linear relationships. Let’s look at what a linear relationship is.
For an end-of-year party, Ms. Wilson purchased 98 stickers and 56 lollipops. Each student will receive an equal number of stickers and an equal number of lollipops. There will be no stickers or lollipops leftover.
Based on this information, what is the greatest number of students that Ms. Wilson can have in her class?
Answer:
14 i think
Step-by-step explanation:
tbh, just guess and check
98/7=14 each student gets 7 stickers
56/14=4 each student gets 4 lollipops
there are 14 students.
on a survey seven students reported how many minutes it takes them to travel to school . here are their responses 5, 12 , 4 , 8 , 7 ,10 , 12 . find the mean travel time for these students if necessary round your answer to the nearest tenth
Answer:
8.28 my guy
Step-by-step explanation:
Easy, because the 'mean' is also called the 'average'.
To find the average of a list:
1). Add up all the items on the list.
then
2). Divide the sum by the number of items on the list.
For your list:
3) 5+12+4+8+7+10+12=58
4) There are 7 students so we divide, 58/7=8.28
The floor of a new planetarium is a circle with a 13-yard diameter.A stage will occupy a quarter circle section of the floor.The material for the stage will cost $31.47 per square yard. If no material is wasted when making the stage,how could you find how much the stage will cost? Use 3.14
Answer:
$1,043.74Step-by-step explanation:
Area of the circular floor = πr²
Since the stage only occupies a quarter circle section of the floor, then;
Area of the stage = πr²/4
Given
diameter of the floor = 13yd
radius = 13/2 = 6.5yd
Find the area of the stage;
Area of the stage = π(6.5)²/4
Area of the stage = 3.14(42.25)/4
Area of the stage = 33.16625yd²
If the material for the stage will cost $31.47 per square yard, this means;
1yd² = $31.47
33.16625yd² = x
Cross multiply
x = 33.16625*31.47
x = 1,043.74
Hence the stage will cost $1,043.74