Question d:
(D) Find the probability of F'nA'
Answer:
0.4140
0.7619
0.2381
0.9576
Step-by-step explanation:
Given that :
Female in fatal accident P(F) = 0.2805
Driver is 24 years or less P(A) = 0.1759
Driver is female and 24 years or less P(FnA) = 0.0424
A.) Find the probability of FUA.
P(FUA) = P(F) + P(A) - P(FnA)
= 0.2805 + 0.1759 - 0.0424
= 0.4140
(b) Find the probability of F'UA.
P(F'UA) = 1 - P(F) + P(FnA)
= 1 - 0.2805 + 0.0424
= 0.7619
C.) P(FnA') = 1 - P(F'UA)
= 1 - 0.7619
= 0.2381
(d) Find the probability of F'nA'
P(F'nA') = (FnA)' = 1 - (FnA)
= 1 - 0.0424
= 0.9576
A bicycle is $55 at Walmart. It is 35% off. What is the discount?
Answer:
after a discount of 35% it would be $35.75
Step-by-step explanation:
hope this helped :D have a great day!
Bridget, Brian & Caroline share some money in the ratio 4 : 9 : 4.
In total, Bridget and Caroline receive £48.
How much does Brian get?
Answer:
the answer is 54
Step-by-step explanation:
48 / 4 is 12, so then divide that by 2 so they split equally because theirs combined added to 48, so 6.
6 * 9 is 54
Based on the given figure, determine the angles that show congruent alternate exterior angles
Answer:
Angle 1 and angle 8
Angle 2 and angle 7
Step-by-step explanation:
Alternate exterior angles are angles positioned alternating each other along the transversal, where both angles are found outside the two parallel lines cut across by the transversal.
Thus from the diagram given, the following are alternate exterior angles that are congruent:
Angle 1 and angle 8
Angle 2 and angle 7
0.14 quarts to 0.24 quarts
Enter the ratio as a fraction of whole number in lowest tents ( no decimals )
Answer: [tex]\dfrac{7}{12}[/tex] .
Step-by-step explanation:
To find : Ratio of 0.14 quarts to 0.24 quarts.
In fraction it will be
[tex]\dfrac{\text{0.14 quarts}}{\text{0.24 quarts}}\\\\=\dfrac{14}{24}\ \ \ \ \\\\=\dfrac{7}{12}\ \ \ \ \ [\text{Divide numerator and denominator by 2}][/tex]
= 7:12
Hence, the required fraction = [tex]\dfrac{7}{12}[/tex] .
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
Answer:
The answer is 315 inches
Step-by-step explanation:
180+75%
Answer:315
Step-by-step explanation:
Solve equations by using elimination
-4+5y= 13
X-5y=21
( , )
Answer:
y=17/5 ,x= 38
Step-by-step explanation:
-4+5y =13 add 4 both side
4-4+5y=13+4
5y=17
5y/5=17/5 y=17/5
x-5y=21
x-5(17/5)=21
x-17=21
x=21+17= 38
Identify the triangle by its sides and angles:
equilateral, isosceles, scalene, acute, obtuse, right.
(you should have two answers)
Answer: Right and isosceles
Which equation could have been used to create this graph?
y = x + 5
y = 3x
y = 6x
y = x + 6
Answer:
y= 3x
Step-by-step explanation:
Because between each point your going up by 3
Hope this helps you
Answer:
y = 3x
Step-by-step explanation:
This is dealing with slope so think of it as rise over run
[tex]\frac{Rise}{Run}[/tex]
The y intercept is a 0 so you don't have to worry about adding a number after the plus symbol. You can if you want but that's not an option. You go up 3 over 1 and then you get to your next point.
Three students Tahat, Promi and Kabi, Appeared at an examination. Promi secured 11 marks less than Tahat, 5 marks more than kabi and again. Tahat's marks were 75% of the sum of Promi and Kabi's marks. Find out their individual marks
Answer: Tahat= 40.5 marks Promi =29.5 marks, Kabi =24.5 marks
Step-by-step explanation:
Step 1
Let the marks be represented as x+11, x and x-5 for Tahat, Promi and Kabi respectively
and Tahat's marks which was 75% of the sum of Promi and Kabi's marks be expressed as
x+11 = 75/100(x + x-5)
Step 2 --- Solving
x+11 = 75/100(x + x-5)
x+ 11 = 3/4(2x-5)
x+11= 6x-15/4
4x+44=6x-15
44+15=2x
x= 59/2= 29.5,
A) x= Promi's mark was 29.5
B)Promi secured 5 marks more than kabi
Therefore, Kabi's mark was 5 marks less than Promi
= x-5
29.5- 5= 24.5 marks
C)Promi secured 11 marks less than Tahat, Therefore Tahat marks were 11 marks more than Promi
x+11= 29.5 + 11= 40.5
Please somebody help me.
Answer: I do believe its A.
Tho I advise you plug it into Midpoint Calculator (Free math website) just to be sure.
Happy Holidays and Good luck
help me please for brainlest
Answer:
25
I believe
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Determine the equation of the circle graphed below.
Answer: (-7,3)
Step-by-step explanation:
Which is an irrational number?
(rewarding brainiest and a follow)
A) 0.6
B) 5/3
C) |-3|
D) 0/9
Answer:
B
Step-by-step explanation:
Hope this helped you!!
1 2/5m - 3/5(2/3m+1)
Answer:
step by step
STEP
1
:
Equation at the end of step 1
((((3•(m3))+5m2)-5m)+1)
(———————————————————————•m)-1
3
STEP
2
:
Equation at the end of step
2
:
(((3m3+5m2)-5m)+1)
(——————————————————•m)-1
3
STEP
3
:
3m3 + 5m2 - 5m + 1
Simplify ——————————————————
3
Checking for a perfect cube :
3.1 3m3 + 5m2 - 5m + 1 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 3m3 + 5m2 - 5m + 1
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -5m + 1
Group 2: 5m2 + 3m3
Pull out from each group separately :
Group 1: (-5m + 1) • (1) = (5m - 1) • (-1)
Group 2: (3m + 5) • (m2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
3.3 Find roots (zeroes) of : F(m) = 3m3 + 5m2 - 5m + 1
Polynomial Roots Calculator is a set of methods aimed at finding values of m for which F(m)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers m which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 3 and the Trailing Constant is 1.
The factor(s) are:
of the Leading Coefficient : 1,3
of the Trailing Constant : 1
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 8.00
-1 3 -0.33 3.11
1 1 1.00 4.00
1 3 0.33 0.00 3m - 1
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
3m3 + 5m2 - 5m + 1
can be divided with 3m - 1
Polynomial Long Division :
3.4 Polynomial Long Division
Dividing : 3m3 + 5m2 - 5m + 1
("Dividend")
By : 3m - 1 ("Divisor")
dividend 3m3 + 5m2 - 5m + 1
- divisor * m2 3m3 - m2
remainder 6m2 - 5m + 1
- divisor * 2m1 6m2 - 2m
remainder - 3m + 1
- divisor * -m0 - 3m + 1
remainder 0
Quotient : m2+2m-1 Remainder: 0
Trying to factor by splitting the middle term
3.5 Factoring m2+2m-1
The first term is, m2 its coefficient is 1 .
The middle term is, +2m its coefficient is 2 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1
Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is 2 .
-1 + 1 = 0
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step
3
:
(m2 + 2m - 1) • (3m - 1)
(———————————————————————— • m) - 1
3
STEP
4
:
Equation at the end of step 4
m • (m2 + 2m - 1) • (3m - 1)
———————————————————————————— - 1
3
STEP
5
:
Rewriting the whole as an Equivalent Fraction
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
1 1 • 3
1 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
m • (m2+2m-1) • (3m-1) - (3) 3m4 + 5m3 - 5m2 + m - 3
———————————————————————————— = ———————————————————————
3 3
Polynomial Roots Calculator :
5.3 Find roots (zeroes) of : F(m) = 3m4 + 5m3 - 5m2 + m - 3
See theory in step 3.3
In this case, the Leading Coefficient is 3 and the Trailing Constant is -3.
The factor(s) are:
of the Leading Coefficient : 1,3
of the Trailing Constant : 1 ,3
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -11.00
-1 3 -0.33 -4.04
-3 1 -3.00 57.00
1 1 1.00 1.00
1 3 0.33 -3.00
3 1 3.00 333.00
Polynomial Roots Calculator found no rational roots
Final result :
3m4 + 5m3 - 5m2 + m - 3
———————————————————————
3
Terms and topics
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2/3X18 Multypily plzzzz
Answer:
12
This is the answer because 2/3 times 18 is 12...
Answer: 12
Step-by-step explanation:
2/3 * 18
you put 18 over 1
so 2/3 * 18/1
2*18= 36
3*1= 3
36/3 = 12
NEED HELP ASAP!!!! PLEASE HELP!!!!
Answer:
1/9a
Step-by-step explanation:
i used math.way lm.ao hope it helps
81 ≥ 100 – m. Please help.
Answer:
x > 19
Step-by-step explanation:
Answer:
m ≤ -19
Step-by-step explanation:
81 ≥ 100 - m
-100 -100
-19 ≥ m
or
m≤-19
hope this helps!!!
Please help ASAP! :)
I WILL MARK Brainliest!!!
Answer:
3
Step-by-step explanation:
What is the common ratio for the sequence 1, 4, 16, 64,..?
Answer:
1:4
Step-by-step explanation:
1/4
4/16 ->1/4
16/64-> 1/4
Answer:4 is the answer to all of this
6/8w= -9/3
solve for w
pls hurry I need help I will give brainliest
Answer: w=−4
Step-by-step explanation:
hoped this helped
Someone please help mee!! It's Algebra 2...Will give brainliest/5 stars if correct. ONLY ANSWER IF SERIOUS PLEASEEE ♥ ♥
Answer:
Log7(1/49)=x The first one
Step-by-step explanation:
I can't really explain how but hopeful this help
44. Find the arc length on a circle with radius =5 inches and a central angle of pi/3 help plsss
Answer:
Step-by-step explanation:
Because your angle is in radians, I'm assuming we can use the pre-calculus version of the arc length formula which is
s = rt where s is the arc length, r is radians, and t is the angle in radian measure. Filling in accordingly:
[tex]s=5(\frac{\pi}{3})[/tex] so
[tex]s=\frac{5\pi}{3}[/tex] inches
Carla makes $20 for each lawn she mows. The money she makes depends on the number of lawns she mows.
How much money will she make if she mows 5 lawns?
ANSWER THE QUESTION IN THE IMAGE PLEASE ASAP!!!!!!!!!!!!!!!!!!!
Answer:
100
Step-by-step explanation:
20 times 5
An electrician charges an initial fee of $35 for attending a house call. Thereafter, he charges $15 for every hour spent on the job. The equation for this is represented = 35 + 15, where $Y represents the charges the house owner has to pay and is the number of hours the electrician spends on the job: (a) , find the amount of money the house owner needs to pay if he spends (i) 1 hour (ii) 2 hours (iii) 3 hours (iv) 4 hours on the job very urgent
Answer:
1 hour=35+15=50
2 hours=35+15(2)=65
3 hours=35+15(3)=80
4 hours=35+15(4)=95
Step-by-step explanation:
State whether each pair of triangles is similar by AA-SSS-or SAS-. If none of
these apply. write N.
Pls help ;-;
Given the equation below, if x=10, what is the value of y?
y= x -6.5
Answer: 3.5
Step-by-step explanation:
y=(10)-6.5
if i am on my side i am everything i you chop me in half i am nothing what am i
i know it i am just seeing who can get it
Answer:
the number 8
Step-by-step explanation:
Solve both of these please.
Answer:
1.
( n + 4 ) - 9
- n - 4 - 9
- n - 13
2.
40 = x - 1
- x = - 1 + 40
- x = 39
Step-by-step explanation:
I duno if this is right...
What is the circumference?
30 ft
Answer:
94.248 feet
1,131.0 inches
94′ 3″ feet and inches
28.727 meters
2,872.7 centimeters
Step-by-step explanation:
Evaluate the following for f(-2)
F(x)=3x+2
Answer:
f(-2) = -4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x + 2
f(-2) is x = -2
Step 2: Evaluate
Substitute in x: f(-2) = 3(-2) + 2Multiply: f(-2) = -6 + 2Add: f(-2) = -4Answer 4
Step-by-step explanation:
3(-2)= -6
-6+2= -4