Answer:
The probability of getting 2 defective items
P(X=2) = 0.0317416
Step-by-step explanation:
Step(i):-
Given that size of the components n = 10
Given that the probability of getting the defective item
p = 3% = 0.03
q = 1-p =1- 0.03 = 0.97
Let 'X' be a random variable in a binomial distribution
[tex]P(X=r) =n_{C_{r} } p^{r} q^{n-r}[/tex]
Step(ii):-
The probability of getting 2 defective items
[tex]P(X=2) =10_{C_{2} } (0.03)^{2} (0.97)^{10-2}[/tex]
[tex]10_{c_{2} } = \frac{10!}{(10-2)!2!} = \frac{10 X 9 X8!}{8!2!} = 45[/tex]
P(X =2) = 45 × 0.000705
P(X=2) = 0.0317416
Factor the expression-28x-14
Answer:
-14(2x+1)
Step-by-step explanation:
Factor out the GCF, which is 14.
Answer:
-14(2x+1)
Step-by-step explanation:
this is a question on my math test and i got it write
At work jenine helps 6 customers every 40 minutes. How many customers can she expect to help in 240 minutes before her break?
Answer: 36 customers
Step-by-step explanation:
I'm pretty sure because you have to multiply 40 x 6 which is 240 and 6 x 6 which is 36 to get your answer.
Select the three statements that represents a unit rate.
15 orders in three days
6 chairs per table
12 donuts in two boxes
6 stickers per page
25 miles per hour
Answer:
6 chairs per table
6 stickers per page
25 miles per hour
Step-by-step explanation:
Each one of these three answers has a ratio of x:1
Pls help, because I need it desperately
Answer:
1) 13
2) is
3) s/13
Step-by-step explanation:
It’s one adult to 13 students. It IS proportional.
a=s/13
bob wants to sub 3x + y = 13 into 4x +3y = 6 he needs to do what to get this
Answer:
x = 6.6, y = -6.8
Step-by-step explanation:
Subtract 3 x from both sides of the equation.
y = 13 - 3x
4x + 3y = 6
Replace all occurrences of y with 13 − 3 x in each equation.
-5x + 39 = 6
y = 13 - 3x
Solve for x in the first equation.
x = [tex]\frac{33}{5}[/tex] or 6.6
Replace all occurrences of x with 6.6 in each equation.
y = [tex]-\frac{34}{5}[/tex] or - 6.8
hope this helps, good luck :)
The time, t, for am ice cube to melt. is inversely proportional to the temperature, T, of the water the ice cube is placed. If it takes an ice cube 2 minutes to melt in 75f water, how long will it take an ice cube of the same size to melt in 80f water?
Answer:
15/8 minutes
Step-by-step explanation:
The inverse relationship implies the following equation.
[tex]t=\frac{k}{T}[/tex]
where k is a constant.
You are given a t and T that go together, so
[tex]2=\frac{k}{75}[/tex]
This implies that k=150. Now you know that the relationship is
[tex]t=\frac{150}{T}[/tex]
Now substitute 80 for T to get the answer.
[tex]t=\frac{150}{80}=\frac{15}{8}[/tex][tex]t=\frac{150}{80}=\frac{15}{8}[/tex]
minutes.
It takes an ice cube of the same size to melt in 80f water 15/8 minutes.
We have given,
The time t for am ice cube to melt. is inversely proportional to the
temperature T of the water in the ice cube is placed.
What is the inverse relationship?The inverse relationship implies the following equation.
[tex]t=\frac{k}{T}[/tex]
Where k is a constant.
You have given a t and T that go together, so
[tex]2=\frac{k}{75}[/tex]
This implies that k=150.
Now you know that the relationship is
[tex]t=\frac{150}{T}[/tex]
Now substitute 80 for T to get the answer.
[tex]t=\frac{150}{80} =\frac{15}{8}[/tex]
It takes an ice cube of the same size to melt in 80f water 15/8 minutes.
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If ab=5 and a*a+b*b=25,then (a+b)(a+b)=?
Answer:
(a + b) (a + b) = 35
Step-by-step explanation:
[tex] {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ \\ (a + b) (a + b) = a \ast a + b \ast b + 2ab \\ \\ = 25 + 2 \times 5 \\ \\ 25 + 10 \\ \\ (a + b) (a + b) = 35[/tex]
marta walked at 4.9 miles per hour for 0.95 hours. how far did she walk
Answer:
she walked 4.65 miles
Step-by-step explanation:
4.9 × 0.95
PLEASE HELP IM FAILING MATH
The math SAT score of a high school student graduate can be approximated by S(x)=573-133(0.987), where x is the household income of the student in thousands of dollars per year. What is the average rate of change of the SAT score for students with household incomes ranging from $40,000 to $60,000 per year, in points per thousand dollars? Round answers to 3-decimal places and do not include units with your answer.
Answer: 0.907
Step-by-step explanation:
The average rate of change in a function from x= a to x = b is given by :-
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given: [tex]S(x)=573-133(0.987)^x[/tex]
Then, the average rate of change of the SAT score for students with household incomes ranging from $40,000 to $60,000 per year will be :
[tex]\dfrac{S(60)-S(40)}{60-40}=\dfrac{573-133(0.987)^{60}-573-133(0.987)^{40}}{20}\\\\=\dfrac{512.34-494.20}{20}\\\\=\dfrac{18.14}{20}\\\\=0.907[/tex]
Hence, the average rate of change of the SAT score for students with household incomes ranging from $40,000 to $60,000 per yearr= 0.907
Julie has put a map of the United States on a coordinate grid.
Phoenix is at approximately (–2.4, -4.2) and Atlanta is at
approximately (2.9,-4.2). If each unit on the grid represents
300 miles, what is the approximate distance between Phoenix
and Atlanta?
Julie has put a map of the United States on a coordinate grid.
Phoenix is at approximately (–2.4, -4.2) and Atlanta is at
approximately (2.9,-4.2).
How many solutions does y=1/2x have
125^-1/3 integer or a fraction.
What is the sun of 15 5/9 + 10/12?
a. 16 17/18
b. 15 7/10
c. 16 7/18
d. 188/18
Answer:
C. 16 7/18
Step-by-step explanation:
First find the least common denominator for the fractions: 36
Change the fractions: 15 20/36 + 30/36
Add the fractions: 20/36+30/36=50/36
Turn into proper fraction: 16 14/36
Simplify: 16 7/18
A convex octagon has interior angles with measures (x + 55). (3x + 20), 4x°. (4x - 10). (6x - 55) (3x + 52). 3.xº, and (2x + 30). Find
the value of x.
Answer:
Step-by-step explanation:
The sum of all the internal angles of a convex octagon must equal 1080.
You'll want to add all the angles together and then solve.
[tex](x+55)+(3x+20)+4x+(4x-10)+(6x-55)+(3x+52)+3x+(2x+30) = 1080[/tex]
Just combine like terms and then solve for x.
help fast please and thanks
Answer:
C-1,800
Step-by-step explanation
.2*1800=360
Mark brainliest,rate,and thanks
Answer:
20% = 5th of the people so 5*360= 1800
Or 20%=.20 360/.20=1800
Step-by-step explanation:
Use the function g () = 5x – 2 to complete the table.
-4
-7
0
23
38
How do I get the answer?
Answer:
Step-by-step explanation:
You are given the equation g(x)=5x-2. You simply take the values given and put those values into the equation.
g(-4)=5(-4)-2=-20-2=-22
g(-7)=5(-7)-2=-35-2=-37
g(0)=5(0)-2=-2
g(23)=5(23)-2=115-2=113
g(38)=5(38)-2=190-2=188
How much time is this?
339 hours 31 minutes 52 second and 36 milliseconds.
which is 14 days.
i need step by step answers pleasseeee
Systems of Equations
4x-3y=-20
-x-8y=5
Answer:
(-5, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
4x - 3y = -20
-x - 8y = 5
Step 2: Rewrite Systems
-x - 8y = 5
[Addition Property of Equality] Add 8y on both sides: -x = 8y + 5[Division Property of Equality] Divide -1 on both sides: x = -8y - 5Step 3: Redefine Systems
4x - 3y = -20
x = -8y - 5
Step 4: Solve for y
Substitution
Substitute in x: 4(-8y - 5) - 3y = -20[Distributive Property] Distribute 4: -32y - 20 - 3y = -20Combine like terms: -35y - 20 = -20[Addition Property of Equality] Add 20 on both sides: -35y = 0[Division Property of Equality] Divide -35 on both sides: y = 0Step 5: Solve for x
Define original equation: -x - 8y = 5Substitute in y: -x - 8(0) = 5Multiply: -x = 5[Division Property of Equality] Divide -1 on both sides: x = -5Answer:
x = -5
y = 0
Step-by-step explanation:
4x-3y=-20
-x-8y=5 then x = 8y-5
substitute for x
4(8y-5)-3y = -20
32y-20-3y = -20
29y = 0
y = 0
4x-0 = -20
x = -5
A travel agent receives a 9% commission on the base fair of a customer- that is the fair before sales tax is added if the total fare charged to a customer comes to $784.59 including 5.5% sales tax, how much commission should the agent receive?
Answer:
98 he should receive yodjct7
Find the difference between 20 and 10
Answer: 10
Step-by-step explanation:
Answer:
It is 10
Step by step:
20
- 10
__
10
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer: It depends on how many times Tyrell wants to reserve the court. Sorry but there's not enough info to solve rn
Hope this helps! <3
A brick has a mass of 18.4 kg and a volume of 923cm squared. Evaluate the density of the brick in g/cm cubed round?
18.4kg = 1840g
D = m / v
1840 / 923 = 1.993
What is the point-slope form of a line with slope -3 that contains the point
(10, -1)?
Answer:
y + 1 = -3(x - 10)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Slope m = -3
Point (10, -1)
x₁ = 10y₁ = -1Step 2: Write Function
Substitute in variables into general form.
y - -1 = -3(x - 10)
y + 1 = -3(x - 10)
what is the solution: y=x and y=-x+4
Answer:
(2, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Coordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = x
y = -x + 4
Step 2: Solve for x
Substitution
Substitute in y: x = -x + 4[Addition Property of Equality] Add x on both sides: 2x = 4[Division Property of Equality] Divide 2 on both sides: x = 2Step 3: Solve for y
Define original equation: y = xSubstitute in x: y = 23x + 2(4x - 4) = 3
Anyone know the answer?
Answer:
x=1
Step-by-step explanation:
3x+2(4x-4) = 3
3x+8x-8 = 3
11x-8 = 3
11x = 11
x = 11/11 = 1
The solution for x in the expression 3x + 2 (4x- 4) = 3 is,
⇒ x = 1
The given expression is,
⇒ 3x + 2 (4x- 4) = 3
We can simplify by apply distributive property and combine like term,
⇒ 3x + 2 (4x- 4) = 3
Apply distributive property,
⇒ 3x + 8x - 8 = 3
Combine like term,
⇒ 11x - 8 = 3
Add 8 both side,
⇒ 11x = 3 + 8
⇒ 11x = 11
Divide by 11,
⇒ x = 11 / 11
⇒ x = 1
Therefore, The solution for x in the expression 3x + 2 (4x- 4) = 3 is,
⇒ x = 1
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‼️‼️I REALLY NEED THIS ASAP PLS I’ll give 60 pts thank you
For each pair of function, describe a transformation that maps f(x) to g(x)
1. F(x)=x;g(x)= -x
2.f(x)=x;g(x)=(x-1)+7
3.f(x)=x;g(x)=2(x+4)
4.f(x)=x;g(x)= -2/3x +4
5.f(x)=x;g(x)= -(x-3)-5
6.f(x)=x;g(x)=1/2x-3
Hi I need this answer and show work PLZZZ
solve x+4=10 A.x=2 B.x=3 C.x=6 D.x=14
Answer:
C. x = 6
Step-by-step explanation:
6 + 4 = 10
Kayla wants to prove the Pythagorean theorem: if a triangle is a right triangle, then the area of the square whose side is hypotenuse is equal to the sum of the areas of the squares on the other two sides.
Answer:
in ABC,if<B=90,then AB^2+BC^2=AC^2
Step-by-step explanation:
the third option
i did that khan assignment
The appropriate rephrase statement to proof the Pythagorean theorem is
In ΔABC , if ∠B = 90°, then AB² + BC² = AC²
Pythagoras's theorem is used to calculate the sides of a right angle triangle. The formula is represented as follows
c² = a² + b²where
c = hypotenuse
a and b are either adjacent or opposite sides of the triangle.
A right angle triangle is a triangle that has one angle as 90°. Therefore, from the triangle below, the appropriate rephrase statement to proof Pythagoras theorem is as follows:
In ΔABC , if ∠B = 90°, then AB² + BC² = AC²read more: https://brainly.com/question/15546331?referrer=searchResults