Answer:
(a) 0.5184
(b) 0.0784
(c) 0.4816
Step-by-step explanation:
According to the given estimation over a 1-year period, 18% of cars will need to be repaired once, 7% will need repairs twice, and 3% will require three or more repairs.
So, the probability that a car need repair once = 18/100=0.18 ...(i)
The probability that a car needs repair twice = 7/100=0.07 ...(ii)
The probability that a car needs repair thrice or more = 3/100=0.03 ...(iii)
From equations (i), (ii), and (iii), the probability that a car needs repair = (0.18+0.07+0.03) = 0.28 ...(iv)
The probability that a car doesn't needs repair = 1-(0.18+0.07+0.03)= 1-0.28=0.72 ....(v)
Given that I own two cars, denoting the cars by A and B.
(a) The probability that neither will need repair=(Probability that car A doesn't need repair) and (Probability that car B doesn't need repair)
=0.72 x 0.72 [ from equation (v)]
=0.5184
(b) The probability that both will need repair = (Probability that car A needs repair) and (Probability that car B needs repair)
=0.28 x 0.28 [ from equation (iv)]
=0.0784
(c) The probability that at least one car will need repair= 1 - (The probability that neither will need repair)
=1-0.5184 [ by using part (a)]
=0.4816
Can someone help me with this question
Answer:
It’s c my fren its 40 because you are doing the math as in adding and multiplying..... I tried to help lol tell me if I’m wrong.
Step-by-step explanation:
Find the simple past tense of these verbs in the passage.
is
go
begin
do
make
grow
sell
get
ring
Answer:
was
went
began
did
made
grow
sell
get
rang
I don't know if it's right though?
Answer:
was
went
began
did
made
grew
sold
got
rang
Write and solve an inequality to fit each phrase; the product of -7 and a number is no more than 77
Answer:
- 7n ≤ 77
Step-by-step explanation:
- 7n ≤ 77
n ≥ - 11
A computer store buys a computer system at a cost of $572.40. The selling price was first at $954, but then the store advertised a 20% markdown on the system. Answer parts a and b.
Answer:
The sale price is $763.20
The price for club members is $610.56
The current selling price is $763.20, and the cost to members with an additional 10% reduced rate is $686.88.
What is a percentage?A percentage is a ratio or number that may be expressed as a fraction of one hundred. And the sign for it is "%."
Given, a computer store buys a computer system at a cost of $572.40.
And the selling price was first at $954, but then the store advertised a 20% markdown on the system.
To find the current sale price:
Current sales price;
use percentage formula,
= $954 - (20% × $954)
= $954 - (0.2 × $954)
= $954 - $190.80
= $763.20
To find the cost to club members at 10% additional reduced price:
use percentage formula,
= $763.20 - (10% × $763.20)
= $763.20 - (0.1 × $763.20)
= $763.20 - $76.32
= $686.88
Therefore, the current sale price is $763.20, and it will cost $686.88 to the members.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
Graph the function in your notebook. Determine whether the function is linear or nonlinear.
Answer:
It is linear because if all x values are different, it makes it linear.
89 x 89, whats the answer?
Answer:
7921 is the correct answer
Answer:
7,291
Step-by-step explanation:
Just multiply. 89 x 89
Hi can you guys help me please?!
Answer:
7B, 8C, 9D, 10A
Step-by-step explanation:
help me
the question about algebra
➡️do not inconsequential and must with and must be accompanied by steps for the process
thanks
9514 1404 393
Answer:
(x, y, z) = (8√7/105, 2√7/21, 4√7/35)
Step-by-step explanation:
The algebra is straightforward, if tedious.
We'll define X = x^2, Y = y^2, Z = z^2, -1/16 = a, -1/25 = b, -1/36 = c. Then the equations become ...
√X = √(Y +a) +√(Z +a) . . . . [eq1]
√Y = √(Z +b) +√(X +b) . . . . [eq2]
√Z = √(X +c) +√(Y +c) . . . . [eq3]
__
As with any radical equation, you square both sides, isolate the remaining radical, then square both sides again. Each squaring introduces extraneous solutions.
The equations are symmetrical, so we can do the tedious stuff on the first one, then make the appropriate substitutions to see the other two equations.
X = Y +a + 2√((Y+a)(Z+a)) +Z +a
X - Y - Z -2a = 2√((Y+a)(Z+a)) . . . . isolate the remaining radical
(X -Y -Z -2a)^2 = 4(Y+a)(Z+a) . . . . square both sides again
X^2 +Y^2 +Z^2 +4a^2 -2XY -2XZ +2YZ -4aX +4aY +4aZ = 4YZ +4aY +4aZ +4a^2
Subtracting the right side gives ...
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4aX = 0 . . . . [eq4]
Then the remaining equations are ...
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4bY = 0 . . . . [eq5]
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4cZ = 0 . . . . [eq6]
Subtracting [eq6] from [eq5] gives a relation between Y and Z:
-4bY +4cZ = 0
Z = bY/c . . . . [eq7]
Substituting this into [eq4], we have ...
X^2 +Y^2 +(bY/c)^2 -2XY -2X(bY/c) -2Y(bY/c) -4aX = 0
X^2 +Y^2(1 -2b/c +(b/c)^2) -2XY(1 +b/c) -4aX = 0 . . . . [eq8]
Subtracting [eq5] from [eq4] gives a relation between X and Y:
-4aX +4bY = 0
Y = aX/b . . . . [eq9]
Substituting this into [eq8], we have ...
X^2 +(aX/b(1 -b/c))^2 -2X(aX/b)(1 +b/c) -4aX = 0
Dividing by X* gives a linear equation in X:
X(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c)) -4a = 0
X = 4a/(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c))
Substituting the above values for a, b, c, we have ...
X = 64/1575
x = √X = √(64/1575) = 8/(15√7)
Y = X(25/16)
y = x(5/4) = 2/(3√7)
Z = Y(36/25)
z = y(6/5) = 4/(5√7)
The solution is ...
x = 8√7/105 ≈ 0.201581y = 2√7/21 ≈ 0.251976z = 4√7/35 ≈ 0.302372_____
* At this point the equation is of the form pX^2 +qX = 0 or X(pX +q) = 0. One solution is X=0, which is extraneous. The solution of interest is X = -q/p.
4s - 13 = 51 SHOW ALL WORK
Answer:
you have to get rid of the numbers and then get rid of the letters until only s is left
Step-by-step explanation:
4s - 13= 51
51+13= 64
4s= 64
64÷4 = 16
s= 16
What is the volume of the geometric solid produced by the triangle below
when it is rotated 360 degrees about the vertical axis YZ? *
Answer:
The volume of the geometric solid produced is 391 cubic cm ⇒ A
Step-by-step explanation:
When a right triangle is rotated about its vertical leg 360°, then it formed a cone its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle.
The rule of the volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where
r is the radius of its baseh is the length of its height∵ Triangle XYZ is rotated 360° about the vertical side YZ
∴ It formed a cone with a radius = XZ and a height = YZ
∵ [tex]\frac{YZ}{XZ}=tan(60)[/tex]
∵ YX = 6√3
∴ [tex]\frac{6\sqrt{3}}{XZ}=tan(60)[/tex]
∵ tan(60) = √3
∴ [tex]\frac{6\sqrt{3}}{XZ}[/tex] = √3
→ By using cross multiplication
∴ 6√3 = XZ(√3)
→ Divide both sides by √3
∴ 6 = XZ
∵ XZ = r and YZ = h
∴ r = 6 and h = 6√3
→ By using the rule of the cone above
∵ V = [tex]\frac{1}{3}[/tex] (π) (6)² (6√3)
∴ V ≅ 391 cm³
∴ The volume of the geometric solid produced is 391 cubic cm
What is the slope of the line that goes through the points (-1,4) and (14,-2)?
Answer:
hi! so we have 2 points right? you will need to use something called the slope formula y2-y1/x2-x1 we're subtracting our y values of both points and x values of both points while dividing them this gives us a slope of a line
now I want you to label before you do this in your head! it can get confusing to think about it so label label (x1-1,y1 4) (x2 14,y2 -2) now you have them labeled this parts easy! use the formula -2-4/14--1 okay now use your calculator you get -2/5 and now you have your m or slope!
memorize y2-y1/x2-x1 now! it will save you!
Step-by-step explanation:
Answer:
-2/5 is the answer
At noon, the temperature was 5 degrees Celsius. By late afternoon, it has risen 6 degrees Celsius. What was the temperature late in the afternoon?
Answer:
11 degress celcius
Step-by-step explanation:
there was an original 5 but it increased by 6
5 + 6 = 11
11 degrees celcuis
Answer:
11 degrees Celsius
Step-by-step explanation:
5+6=11
Henry showed all the steps he took to solve the equation. 4 (negative one-half x + 7) + 5 x = 15 Step Simplified Expression 1 -Negative 2 x + 28 + 5 x = 15 2 3 x + 28 = 15 3 3 x = 15 4 x = 5 Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry's solution is incorrect? Step 1 is wrong because the distributive property of equality was used incorrectly. Step 2 is wrong because the addition property of equality was used incorrectly. Step 3 is wrong because the subtraction property of equality was used incorrectly. Step 4 is wrong because the division property was used incorrectly.
Answer:
Step 3 is wrong because the subtraction property of equality was used incorrectly
Step-by-step explanation:
Henry showed all the steps he took to solve the equation.
The steps as show in the question is
4 (negative one-half x + 7) + 5 x = 15 Step 1
-Negative 2 x + 28 + 5 x = 15
Step 2
3 x + 28 = 15
Step 3
3 x = 15
Step 4
x = 5
Verifying the steps
The steps as show in the question is
4 (negative one-half x + 7) + 5 x = 15 Step 1
-Negative 2 x + 28 + 5 x = 15 (Distributive property of equality) This is correct
Step 2
3 x + 28 = 15(Addition property of equality this is correct)
Step 3
3 x = 15 (Subtraction property of equality) This is incorrect
The correct form is
3x +28 - 28 = 15 - 28
3x = -13
Step 4
x = -13/3
x = - 4.3333333333
Henry's solution is incorrect because Step 3 is wrong because the subtraction property of equality was used incorrectly.
x = -4.3
Answer:
c
Step-by-step explanation:
The cost of a pizza varies directly as the square of its radius. If a pizza with a 6 inch radius costs Php 8.00, how much should a pizza with an 11 inch radius cost?
Answer:
An 11 inch radius pizza costs Php 14.63!
Step-by-step explanation:
We have to find the average cost for each inch radius of pizza!
8/6 = 1 1/3
The average cost is Php 1.33
Now we multiply that by 11
1.33 * 11 = 14.63
An 11 inch radius pizza costs Php 14.63
A pizza with a 6 inch radius costs Php 8.00.
A pizza with 11" radius costs Php 26.88.
Let:-
k = constant
c = cost of a pizza
r = radius of pizza
The cost of a pizza varies directly as the square of its radius.
[tex]c[/tex] ∝ [tex]r^{2}[/tex]
[tex]c=kr^{2}[/tex]
Where: c = 8, r = 6
[tex]8=k(6)^{2} \\k=\frac{8}{36} \\\\k=\frac{2}{9}[/tex]
When r = 11 inch
[tex]c=kr^{2}\\c=(\frac{2}{9})(11)^{2}\\c=26.88[/tex]
Therefore, A pizza with 11" radius costs Php 26.88.
For more information:
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that is the question
PLEASE HELP ASAP!!! MAKE SURE YOU KNOW YOU’RE CORRECT (sometimes people put wrong answers)
Identify the function shown in this graph
Answer:
i think its d
Step-by-step explanation:
not copying i think
Answer:
C - y = 3x - 2
Step-by-step explanation:
I took the test. Hope this helps! :)
Ala has 24 dollars, Barb has 66 dollars, and Sophia has as many dollars more than Ala as she has less
than Barb.
How many dollars does Sophia have?
A) $35
B) $42
C) $45
D) $48
Answer:42
Step-by-step explanation:
help!!! please & explain if can:(
Answer:
x = 15
Step-by-step explanation:
AEB is a right angle, a right angle is 90 degrees
this means 5x+15 needs to equal 90
plug in 15 for x
5 x 15 + 15 = 90
Please help me?? Solve for x
Step-by-step explanation:
95+8x+5=180
100+8x=180
8x=80
X=80/8
x=10
The water level in a reservoir is now 52 meters. If this was a 23% increase, what was the initial depth?
Answer:
40.04
Step-by-step explanation:
It was at 40.04 before the 23% increase. To find 23 % of 52 set it up as a inequality.
x/52 = 23/100
Cross multiply
52 * 23 = 1,196 100 * x =100x
Now solve for x.
100x /100 = 1,196/100 x = 11.96
Subtract answer from 52 to get answer
52 - 11.96 = 40.04
A line passes through the points (-6,4) and (-2,2). Which is the equation of the line?
A. y= -1/2x + 1
B. y= 1/2x + 7
C. y= -2x + -8
D. y= 2x + 16
Please Help ☺️
Answer:
Is A
Step-by-step explanation:
(2-4)/(-2--6) = -1/2
And the only answer that has -1/2 as the slope is A
Find the next term of the given sequence. 1.31, 2.54, 3.77, ...
4.90
5.00
5.10
Answer:
5.00
Step-by-step explanation:
the following two triangles are congruent. Select the correct statement for the correct corresponding part that must be congruent.
Answer:
You are correct.
Step-by-step explanation:
y and j are the vertexes. Given that M and S are the corresponding parts of the 2 triangles, I would say you picked the right answer. But the question is ambiguous and there might be some hidden meaning why this is wrong. The reason might not stand up in a court of law, but instructors do hold the gun at your head.
Curse at it and move on.
Three of the four points below are on the graph of a proportional relationship between the variables x and y. Which point is NOT on the graph(0,0)
(1,5)
(2,6)
(3,15)?
Answer:
I think 2,6
Step-by-step explanation: X5
3644-878 x 4 = a
a+54-21=b
a =
b =
the answer is supposed to be 132 at the most of a
for b it is 165
Answer:
a=132
b=165
Step-by-step explanation:
,
PLZZz HELP I WILL GIVE BRAINIEST
Answer:
Step-by-step explanation:
b = bouquet c = centerpieces
13b + 4c = 487
6b + 2c = 232
Which of the following expressions is equivalent to 3m(m - 2) - (m^2 + 1)
A. 2m^2 - 1
B. 4m^2 - 1
C. 4m^2 - 6m + 1
D. 2m^2 - 6m - 1
what is the Symmetric property
Answer:
The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .
Step-by-step explanation: you couldnt have looked it up on ggle?...haha -_-'
RuthAnn is 28 years old and is retiring at the age of 65. When she retires, she estimates that she will need an annual
income of $32,523 for 30 years. If RuthAnn contributes 11% of her annual income to a 401(k) paying 7.1% compounded
annually, will she reach her goal for retirement given that her annual income is $36,278.13? If she does not make her goal
then state by what amount she will need to supplement her income. Round all answers to the nearest cent.
a. RuthAnn will meet her annual goal of exactly $32,523 for retirement.
b. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
C. RuthAnn will not make her annual goal of $32,523 and will need $1,039.85 to supplement her
yearly income when she retires.
d. RuthAnn will not make her annual goal of $32,523 and will need $10,395.80 to supplement her
yearly income when she retires.
Answer: It is B. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
Step-by-step explanation: