the weights of cars passing over a bridge have a mean of 3550 lb and a standard deviation of 870 pounds. Assume that the weights of cars passing over the bridge or never distributed. Use the empirical rule to estimate the probability that a randomly-selected car going over the bridge will weigh less than 940 lbs
Answers
Answer:
a. 0.15%
Step-by-step explanation:
The Z-score of 940 pounds is ...
(X -µ)/σ = (940 -3550)/870 = -3
The empirical rule tells you that 99.7% of the normal distribution lies within Z = ±3. Half of the remaining 0.3% lies below Z = -3, which is the set of weights of interest.
The probability that a car weighs less than 940 lbs is about 0.15%.
Related Questions
Find a linear second-order differential equation F(x, y, y', y'') = 0 for which y = c1x + c2x4 is a two-parameter family of solutions. Make sure that your equation is free of the arbitrary parameters c1 and c2. (Use yp for y' and ypp for y''.)
Answers
Answer:
[tex]4y+ y"x^2-4y'x = 0[/tex]
↓
[tex]F(x, y, y', y'') = 0[/tex]
Step-by-step explanation:
From the information given:
[tex]y = c_1x + c_2x^4 \\ \\ y^1'= c_1 + 4c_2x^3 \\ \\ c_1 =y' - 4c_2x^3 \\ \\[/tex]
So;
[tex]y = y'x -4c_2x^4+c_2x^4 \\ \\ y - y'x - 3c_2x^4 \\ \\ y'= y"x+y'- 12c_2x^3 \\ \\ c_2= \dfrac{y"x}{12x^3} \\ \\ c_2= \dfrac{y"}{12x^2}[/tex]
∴
[tex]y = y'x- \dfrac{3x^4*y'' }{12x^2} \\ \\ \\ y = y'x - \dfrac{y" x^2}{4} \\ \\ \\ 4y+ y"x^2-4y'x = 0[/tex]
↓
[tex]F(x, y, y', y'') = 0[/tex]
Hi can any one please help me In math please I don’t know any thing of it
Answers
Answer:
Step-by-step explanation:
volume=area of base×height
area= length×witgh
a)
a=5×4
a=20
v=20×10
v=200 sq. cen.
b)
lol idk how to explain this one
a=153
v=153×16
v=2448 sq. cm.
c)
V = 1/3AH
a= 15×15
a=225
v=1/3 225 17
v=1/3 3825
v=1275 sq. cm.
im to tired to do the rest but i hope i helped with what i did
also that took a long time can i plz get brainilest?
Answer:
a=l times w
Step-by-step explanation:
give her brainilest. that’s why i answered some she can get brainilest
which of the following statements are Ture...?
ANWSER:
[] The prime factorization of 14 is 2 times 7.
[] The prime factorization of 21 is 3 times 7.
[] 21 is a prime number.
[] 14 is a composite number
[] The GCF of 14 and 21 is 14.
[] The LCM of 14 and 21 is 42
Answers
Answer:
1, 2, 4, 6 are true statements
Which arcs are congruent? Check all that apply. Arc B C ≅ Arc M P Arc B C ≅ Arc M O Arc C F ≅ Arc K P Arc E G ≅ Arc K L Arc L O ≅ Arc M P
Answers
Answer:
Step-by-step explanation:
The arcs that are congruent are:
Arc B C ≅ Arc M P. Arc E G ≅ Arc K L. Arc L O ≅ Arc M P.What congruent angles in math?
Two geometric figures can be described as congruent if on can be superpose on the other.
Conclusively, congruent' is said to be a word that connote 'exactly equal' when looking at the shape and size of the angles. The options chosen above are congruent because they have the sides to be equal.
Learn more about congruent from
https://brainly.com/question/2938476
Function g can be thought of as a translated (shifted) version of f(x)=x^2 Write the equation for g(x) g(x)=______
Answers
Answer:
g(x)=(x^2)-3
Step-by-step explanation:
f(x) is shifted down by 3 units
Solve the inequality.
Answers
Answer:
the first one, v < 1 23/25
Step-by-step explanation:
multiply both sides by 6 and divide by 5
v < 48/25, or v < 1 23/25
Answer:
v < 1 23/25
Step-by-step explanation:
5/6 v < 8/5
Multiply each side by 6/5
6/5*5/6 v < 8/5*6/5
v < 48/25
Rewrite as a mixed number
v < 1 23/25
2⁄5 + 3⁄7 + 5⁄6 = is what?
Answers
Answer:1.661905 or 349/210 Or 1 139/210
Step-by-step explanation:
2⁄5 + 3⁄7 + 5⁄6
29/35+5/6
349/210
Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work please! I have the answer: 21 + `12i but I need to show my work, thank you!
Answers
Answer:
21+12i i hope this will help you
Step-by-step explanation:
(3-4i)(1+5i)-(2-i)
=[3(1+5i)-4i(1+5i)]-(2-i)
=[3+15i-4i-20i²]-(2-i)
=(3+11i-20i²)-(2-i)
opening brackeys
=3+11i-20i²-2+i
=3+11i+1i-20i²-2
as we know that i²=-1
=3-20(-1)-2+12i
=3+20-2+12i
=21+12i
The expression (3 - 4i)(1 + 5i) - (2 - i) is simplified as 21 + 12i
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the expression be A = (3 - 4i)(1 + 5i) - (2 - i)
Now , we know i² = -1
And , on simplifying the expression , we get
A = (3 - 4i)(1 + 5i) - (2 - i)
A = 3 + 15i - 4i - 20i² - 2 + i
A = -20i² + ( 3 - 2 ) + ( 15i - 4i + i )
A = -20 ( -1 ) + 1 + ( 11i + i )
A = 20 + 1 + 12i
A = 21 + 12i
Hence , the value of the expression (3 - 4i)(1 + 5i) - (2 - i) is ( 21 + 12i )
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
Pls help emergency will Mark bigbrain
Answers
Answer:
C.
Step-by-step explanation:
Volume of a Sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where volume of sphere = 81 π cm³
So, the equation becomes
81 π = [tex]\frac{4}{3} \pi r^3[/tex]
Answer:
the correct answer is the third row.
Step-by-step explanation
Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?
Write your answer as a decimal rounded to four decimal places.
Answers
Answer: Lester gets about 400 k - 700k in casino hiest
Step-by-step explanation:
In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC.
btw i need two answers for bc not just one
Answers
Answer:
AB = 30 inch
BC = 14 inch or BC = 50 inch
Step-by-step explanation:
Make a drawing. Please see the attachment. All measurements are in inches.
Consider the two triangles:
∆ ABC and ∆ AB'C
1. Looking only at ∆ ABC. Since this is not a rectangular triangle, let's first consider ∆ ANC, so we can calculate NC.
AN is the height and there fore is perpendicular to NC and thus also to BC.
In ∆ ANC
AN² + NC² = AC²
We want to calculate NC, so:
NC² = AC² - AN²
Given: AC = 40 and AN = 24
NC² = 40² + 24²
NC² = 1600 + 576
NC² = 1024
NC = +-SQRT(1024)
NC = 32
NC = NB + BC
We want to know BC
BC = NC - NB
Given: NB = BN = 18 and we just calculated NC to be 32 so...
BC = 32 - 18
BC = 14
2. Looking only at ∆ AB'C
AN is the height and there fore is perpendicular to B'C. Let's consider ∆ AB'N, so we can calculate AB'.
AN is the height and there fore is perpendicular to B'N, which means it has an angle of 90° in ∆ AB'N.
In ∆ AB'N
c² = a² + b²
AB'² = AN² + B'N²
Given: AN = 24 and B'N = 18
AB'² = 24² + 18²
AB'² = 576 + 324
AB'² = 900
AB' = +-SQRT(900)
AB' = 30
In ∆ AB'C
with AB' = 30 and AC = 40
c² = a² + b²
B'C² = AB'² + AC²
B'C² = 30² + 40²
B'C² = 900 + 1600
B'C² = 2500
B'C = +-SQRT(2500)
B'C = 50
Now we have our answers.
Extra:
Please look at the picture again, but now concentrate on the indicated 50 and - 50...
I am trying to explain something about the meaning of the outcome of mathematical calculations like:
c² = 2500
c = +- SQRT(2500)
c = 50 or c = - 50
Depending on where you want to start from, you can "move" 50 inch in one direction or 50 inch in the opposite direction, hence the -50 inch. Please let me explain why I am making a fuss...
1). Let's consider ∆ AB'C. Going from B' to C, you "move" -50 inch form B' towards C. This 50 inch is what we calculated earlier, but the we neglected to explain why we discarded the minus value of the SQRT... We just stated it to be only the positive value! Normally we give no meaning to the negative variant of it... Well, is this true in this case?
2). Let's consider ∆ ABC'. Going from B to C', you "move" 50 inch form B towards C'. Please understand that the direction is opposite that of - 50 inch in 1).
It is important to understand that a negative sign means the 180° in the direction of the other way.
In general. When calculating a square side by using the SQRT, you carefully need to consider if you can discard the -
minus value of your calculated outcome.
Not always, but usually there is some sort of meaning to the negative part of the SQRT, you just need to be willing to understand what it possibly could mean.
I hope this has made some sense to you :-).
subtract the following integer in number line =5 from 3
Answers
Answer:
-2
Step-by-step explanation:
3-5= -2
The answrr is 2
I WILL GIVE YOU BRAINLIEST!!!!!
Answers
Answer:
Brainelist goes to me!
Step-by-step explanation:
-6/3 = -2
Answer:
B
Step-by-step explanation:
Given
[tex]\frac{3-x}{x-6}[/tex] ← substitute x = 9 into the expression
= [tex]\frac{3-9}{9-6}[/tex]
= [tex]\frac{-6}{3}[/tex]
= - 2 → B
Considere as funções com domínio dos números reais dadas por f(x) = -x + 5 e g(x) = 2x + 2 Calcule o valor de : F(0) + g(1) ________ F(2)
A 3.
B4.
C9.
D5.
E 7
Answers
Answer:
C) 9
f(0) +g(1) = 5 +4 =9
F(2) = -2 + 5 =3
Step-by-step explanation:
Given f(x) = -x + 5
g(x) = 2 x + 2
Put x=0 in f(x) = -x +5
f(0) = -0 +5 =5
g(x) = 2 x + 2
Put x= 1
g(1) = 2(1) +2
g(1) = 4
f(0) +g(1) = 5 +4 =9
b) f(x) = -x +5
put x = 2
F(2) = -2 + 5 =3
Henry's wage is £450 per week.
He spends 2/5 of his wage on food.
30% goes on the household bills and the rest is saved.
How much does Henry save each week?
Answers
Answer:
He saves £135 each week
Step-by-step explanation:
He spends 2/5 of his wage on food
2/5x450=£180
He spends 180£ on food each week
30% of 450 is 135 which he spends on house holdbills. thus, he pays £135 on bills
so his total expenditure is 135+180= £315
he saves the rest which is £135.
thus, your answer is £135
What’s the answer to this question?
Answers
Answer:
h=2A/b
Step-by-step explanation:
Try to isolate the variable H. Multiply by 2 on both sides to get rid of the fraction. This gives us 2A=bh. Now, divide both sides by B to get h by itself. h=2A/b is your answer.
explanation: i took the test :)
The discriminant is b2 – 4ac = (–8)2 – (4)(2)(–10) =
Answers
Answer:
144
Step-by-step explanation:
b2 – 4ac =
(–8)^2 – (4)(2)(–10) =
64 + 80
144
If u subtract 1/2 from a number and multiply the result by 1/2, u get 1/8, what is the number. please help whoever answers correctly I will mark them brainiest, rate them, and thanks to them.
Answers
Answer:
3/4
Step-by-step explanation:
Let the unknown number be x.
Subtract 1/2 from the unknown number: x - 1/2
Multiply the result by 1/2: 1/2(x - 1/2)
You get 1/8: 1/2(x - 1/2) = 1/8
Now we solve the equation for x.
1/2(x - 1/2) = 1/8
Multiply both sides by 2.
2 * 1/2(x - 1/2) = 2 * 1/8
x - 1/2 = 1/4
Multiply both sides by 4
4x - 4 * 1/2 = 4 * 1/4
4x - 2 = 1
Add 2 to both sides.
4x = 3
Divide both sides by 4.
x = 3/4
Answer: The number is 3/4.
What is the equation of the following line? Be sure to scroll down first to see all answer options
Answers
Answer:
E. y = 1/4x
Step-by-step explanation:
Using y = 1/4x. Do rise over run. The graph rises 1 on the y-axis for every 4 on the x-axis
Evaluate:
12.16 x .13 =
Answers
Answer:
1.5808
Step-by-step explanation:
rounded
hundreds
1.58
tens
1.6
first
2
Which of the following is divisible by all of the integers from 1 to 10?
A) 23x34
B) 34x45
C) 45x56
D) 56x67
E) 67x78
Answers
Answer:
B or C or A or E or D i dont know
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
The result of the multiplication must end in 0 so A, D nor E are the answer.
Consider B:
34 * 45
Neither of the numbers are divisible by 7 so it's not this one.
It's C because:
56 is divisible by 1, 2,4,7,8 and
45 is divisible by 3, 5, 9
The factors contain 2 and 3 so its also divisible by 2*3 = 6.
The product ends in 0 so its also divisible by 10.
It take 160 ribbons to make 4 football mums.What is the constant of proportionality that relates the number of football mums made ,y, to the number of ribbons used,x? A.40 B.1/10 C.80 D.1/4
Answers
Answer:
The constant of proportionality is [tex]\frac{1}{40}[/tex]
Step-by-step explanation:
We have a function that relate the number of football mums made to the number of ribbons needed, since they are proportional the function that relates the two variables is a linear function is shown below:
[tex]y = a*x[/tex]
The constant of proportionality is the number, "a", that relates the two variables. It was state that 160 ribbons make 4 mums, therefore:
[tex]4 = a*160\\a*160 = 4\\a = \frac{4}{160} = \frac{1}{40}[/tex]
The constant of proportionality is [tex]\frac{1}{40}[/tex]
Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4
–13y4 + 3x4 – 8x2y2 + x3y + 9xy3
–13y4 + x3y – 8x2y2 + 9xy3 + 3x4
3x4 – 8x2y2 + x3y + 9xy3 – 13y4
3x4 + x3y – 8x2y2 + 9xy3 – 13y4
Answers
Answer:
D. [tex]3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]
Step-by-step explanation:
[tex]9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =[/tex]
[tex]= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4[/tex]
[tex]= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]
The standard form of a polynomial is the general way of writing the polynomial.
The standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
The polynomial expression is given as:
[tex]9xy^3 - 4y^4 -10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4[/tex]
Collect like terms
[tex]9xy^3 - 4y^4 - 9y^4 -10x^2y^2 + 2x^2y^2 + x^3y + 3x^4[/tex]
Evaluate the like terms
[tex]9xy^3 -13y^4 -8x^2y^2 + x^3y + 3x^4[/tex]
Rewrite the polynomial in decreasing order of the power of x
[tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
Hence, the standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
Read more about polynomials at:
https://brainly.com/question/2833285
factorize p^2+pq-pqr
Answers
Answer:
p(p+q-qr)
Step-by-step explanation:
p^2+pq-pqr
Factor out a p
p(p+q-qr)
Answer:
p(p+q-qr)
Step-by-step explanation:
p^2 +pq-pqr
= p(p+q-qr)
Charlie is helping refill ketchup bottles at his uncle's diner. He has a huge container with 2 gallons of ketchup, which he distributes evenly among 15 bottles. How much ketchup goes in each bottle? Write your answer as a proper fraction or mixed number.
Answers
Answer:
A = 2/15 gallons per bottle
Step-by-step explanation:
Given;
Total volume of ketchup V = 2 gallons
Number of bottles N = 15
The amount of ketchup per bottle A;
A = total volume of ketchup ÷ number of bottles
A = V/N
Substituting the values;
A = 2gallons ÷ 15bottles
A = 2/15 gallons per bottle
Answer:
2/15
Step-by-step explanation:
2 divided by 15 is the same or equal to 2/15
example: 2 divided by 15= 2/15
1. Tickets to a dance performance cost $9 for adults and $5 for kids. A group purchased 15 tickets and spent a total of $91. Which of the following is a true statement?
a. The group purchased 4 adult tickets.
b. The group purchased 9 kid’s tickets.
c. Both a and b are true.
d. Neither a nor b are true.
Answers
Answer:
A
Step-by-step explanation:
Multiply the cost of an adult ticket by 4 which is 36 and then subtract it from 91 you will get 55. You will see that 55 is divisible by 5 so you get 11kids
rational numbers are always sometimes never natural numbers
Answers
Answer:
Rational numbers are sometimes natural numbers
Step-by-step explanation:
8 is a Rational number and is natural too
1/2 is a Rational number and but is not natural
Find the value of x the triangle shown below
Answers
Answer:
[tex]82[/tex]
Step-by-step explanation:
[tex]24+74+x=180[/tex]
[tex]98+x=180[/tex]
[tex]x=180-98[/tex]
[tex]x=82[/tex]
Answer:
x =82
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees
24+74+x = 180
Combine like terms
98+x = 180
Subtract 98 from each side
98+x-98= 180-98
x =82
Find the volume of the specified cone. Use 3.14 for Pi, and round your answer to the nearest whole number. Diameter = 5 cm, Height = 9 cm a. 59 cu. cm b. 25 cu. cm c. 38 cu. cm d. 19 cu. cm
Answers
Answer:
a
Step-by-step explanation:
r = 2.5 cm
V= 3.14[tex](2.5 cm)^{2}[/tex](9 cm)/3 = [tex]59 cm^{3}[/tex]
Answer:
a
Step-by-step explanation:
5 Points
Rebecca is given two triangles, AABC and A DEF. At first glance, she thinks
that the triangles are congruent. How can she use what she knows about
rotations and triangle congruence to prove the triangle congruence?
Answers
Answer:
A
Step-by-step explanation:
Rotating ABC 90° will make segment AB parallel to segment DE, facilitating comparison of sides and angles. The triangles are marked with two angles and the side between them, so the appropriate theorem to use is the ASA theorem. (That theorem refers to a side (S) between two angles (A..A).)
She can use what she knows about rotations and triangle congruence to prove that triangle congruence as per option A.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
As per the given figure, we have triangles in which two angles and one side are equal.
∠A = ∠E = 65° (angle)
BA = ED (side)
∠A = ∠E = 30° (angle)
By rotating ABC 90°, section AB becomes parallel to segment DE, allowing for easier comparison of sides and angles. Because the triangles are defined by two angles and the side between them, the ASA theorem is relevant. (This theorem is about a side (S) between two angles (AA).)
Thus, the correct answer is option A.
Learn more about congruent triangles here:
brainly.com/question/4364353
#SPJ7
