Answer:
0.2143
Step-by-step explanation:
Let A be the event denote that getting into a car accident and B be the event denote being a texter-and-driver.
Thus, P(A)=0.04, P(B)=0.14.
P(A or B)=0.15.
We have to find P(A/B).
P(A/B)=P(A and B)/P(B)
P(A and B)= P(A)+P(B)-P(A or B)
P(A and B)=0.04+0.14-0.15
P(A and B)=0.03.
Thus, P(A/B)=0.03/0.14
P(A/B)=0.2143 (rounded to four decimal places)
Thus, the probability a person was in a car accident given that they are a texter-and-driver is 0.2143. This probability is higher than the probability among the general population because texting while driving is fatal.
Four years ago the average age of A,B and C was 25 years. Five years ago the average age of B and C was 20 years. A's present age is
Four years ago average age of A , B & C was 25 years.
Find:A's present age
Solution:Let the ages of A , B , C be A , B , C years.
Age of A before 4 years = (A - 4) years. Age of B before 4 years = (B - 4) years. Age of C before 4 years = (C - 4) years.We know that,
Average = Sum of observations/Number of observations.
Here,
Sum of observations = A - 4 + B - 4 + C - 4 = (A + B + C - 12) years.
Number of observations = 3.
So, (A + B + C - 12)/3 = 25
⟹ A + B + C - 12 = 3 * 25
⟹ A + B + C = 75 + 12
⟹ A + B + C = 87 -- equation (1)
Also given that,
Average age of B & C before 5 years was 20 years.
⟹ (B - 5 + C - 5)/2 = 20
⟹ B + C - 10 = 2 * 20
⟹ B + C = 40 + 10
⟹ B + C = 50 -- equation (2)
Subtract equation (2) from equation (1).
⟹ A + B + C - (B + C) = 87 - 50
⟹ A + B + C - B - C = 37
⟹ A = 37 years
∴ A's present age is 37 years.
I hope it will help you.
Regards.
Answer:
→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]
→ 4md - 2nd = 2 * [ a + (n - 1)d ]
→ 2(2md - nd) = 2 * (a + nd - d)
→ 2md - nd - a + d = nd
→ 2md - nd - (md - 2nd) + d = nd
[ From equation (1) ]
→ 2md - nd - md + 2nd + d = nd
→ md + nd + d = nd
→ (m + n + 1)d = n * d
→ (m + n + 1) = n
Step-by-step explanation:
Use the rule y = 3x + 1 to fill in the missing entries in the input-output tables.
Answer:
y=4, y =16, x=10, x=15
Step-by-step explanation:
Plug the x values in the x place and then solve from there and for y values plug em in and easy answer
f(x) = -2x+3
find f(-3)
Answer:
3
Step-by-step explanation:
this is because 3 would be the answer
Gill wears a device that counts the number of steps she takes every day. One day she did onefifteenth of her steps before breakfast, a further half walking into town and another one-tenth walking round the supermarket. a What fraction of her steps were not taken yet? b That day the device recorded 12 000 steps. How many steps were not taken yet?
Answer:
6000 steps
Step-by-step explanation:
1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3
2/3=12000 steps
1/3=6000 steps
3/3=18000 steps
Her total steps should be 18000 and she has done 12000 steps.
18000-12000=6000 steps
6000 steps were not taken yet.
[tex]1/15 +1/10+1/2=2/30+3/30+15/30=20/30=2/3[/tex]
[tex]2/3=12000 steps[/tex]
[tex]1/3=6000 steps[/tex]
[tex]3/3=18000 steps[/tex]
Her total steps should be 18000 and she has done 12000 steps.
[tex]18000-12000=6000 steps[/tex]
What is the most important thing when walking?Walking prevents heart disease, raises the heart rate, lowers blood pressure, and strengthens the heart. Postmenopausal women who walk 1-2 miles a day can lower their blood pressure by about 11 points in 24 weeks.
For example, regular and active walking helps maintain a healthy weight and reduce body fat. Prevents or treats a variety of conditions, including heart disease, stroke, high blood pressure, cancer, and type 2 diabetes. Improves cardiovascular health.
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2 1/7+3/7(3x−5)=−4
A) x= -5 1/7
B) x= -3 1/9
C) x= -1 23/49
D) x= - 8/9
The answer fam is...........B) x= -3 1/9
Name The Angle Pair And Find The Missing Value.
Answer:
Angle 1 and angle 2
x=9
Step-by-step explanation:
The angle pair is complementary since it makes a right angle, so you could technically name it anything like angle 1 and angle 2. You make the equation 4x+8+5x+1=90. Then, you combine like terms and get 9x+9=90. Then, subtract the 9 from 90, 81. 9x=81. Then, divide the 9 from 81. X=9.
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). ∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.) The value of x is , and the value of y is .
*See attachment for the given diagram.
Answer:
∆ABC and ∆FDE are congruent by the SSS criterion.
The value of x is 11 and the value of y is 8
Step-by-step explanation:
Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.
Thus:
AB ≅ DF
BC ≅ DE
CA ≅ FE
Find x:
Since BC ≅ DE, therefore measure of BC = measure of DE.
BC = x + 3
DE = 14
Thus,
x + 3 = 14
Subtract 3 from each side
x = 14 - 3
x = 11
Find y:
Since AB ≅ DF, therefore the measure of both sides are equal.
AB = 3
DF = x - y
Thus,
x - y = 3
Substitute x = 11 into the equation
11 - y = 3
Subtract 11 from both sides
-y = 3 - 11
-y = -8
Divide both sides by -1
y = -8/-1
y = 8
Answer:
Below
Step-by-step explanation:
got it right
sashi weaves 25 baskets in 35 days how many days will it take for her to weave 110 baskets pls tell with steps
Answer:
Step-by-step explanation:
If Sashi weaves 25 baskets in 35 days, let's find out how long it takes her to weave 1 basket.
25 baskets = 35 days
To find how long one basket takes, divide 35 by 25
1 basket = 35/25 = 1.4 days
Next to find how many days it takes for her to weave 110, you just multiply by 110 since we know it takes her 1.4 days to weave 1 basket.
110 baskets = 1.4 times 110 = 154 days.
Can you help me to solve this
Answer:
[tex]\frac{4a-2}{2a+1}[/tex]
Step-by-step explanation:
Factorise the numerator and denominator
8a² - 2 ← factor out 2 from each term
= 2(4a² - 1) ← 4a² - 1 is a difference of squares
= 2(2a - 1)(2a + 1)
4a² + 4a + 1 ← is a perfect square
= (2a + 1)²
Thus
[tex]\frac{8a^2-2}{4a^2+4a+1}[/tex]
= [tex]\frac{2(2a-1)(2a+1)}{(2a+1)(2a+1)}[/tex] ← cancel (2a + 1) on numerator/ denominator
= [tex]\frac{2(2a-1)}{2a+1}[/tex]
= [tex]\frac{4a-2}{2a+1}[/tex]
A system of equations and its solution are given below system
System A
Solution: (-2,1)
To get system B below, the second equation in a system A was replaced by sum of that equation and the first equation in system A mutiplied by -2.
System B
5x - y = -11
A) The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
B) The second equation in system B is 7x = 30. the solution to system B will not be the same as the solution to system A.
C) The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
D) The second equation in the system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
What are the y-intercepts to graph the equation -4x – 3y = 36?
4x-3y =36
Move the constant to the left by adding its opposite to both sides
4x-3y-36=36-36
The sum of two opposites equals 0
Answer: 4x-3y-36=0
PLEASE MARK ME AS BRAINLIEST
A chef earns $27 per year. She is paid every 2 weeks.
These are 26 pay periods per week?
How much does the chef
earns pay period.
Round to the neared cent
Answer:
1
Step-by-step explanation:
27 divided by 26.
Can you explain pls
Answer:
d
Step-by-step explanation:
If you're solving for a, you'll want to isolate it on one side of the equals sign. When doing this, you have to add q to the left side so it equals zero; and whatever you do to the right, you do the left so (3/4a=k+q). After this, you want to use the same logic to get rid of of the 3/4 on the left side. Since the opposite of 3/4 is 4/3, multiply (3/4)x(4/3) instead of (3/4)/(3/4) to make it easier. Since you did that to the left side, you should do it to the right (a=4/3(k+q)). Sorry for my bad handwriting.
HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
What is the type of angle 12 and 6 form? and what is their relationship?
Answer:
Alternate angles
Step-by-step explanation:
Alternates angles are in a form of Z so the relationship between angle 12 and 6 are alternate angles.
answer number 1 or 2 or both please<3
Answer:
1. 1.96 g/L
2. 1 g/cm³
Step-by-step explanation:
Density is found by dividing mass by volume: d = m/v.
1.
We know that the mass is 0.196 grams, while the volume is 100 mL.
Converting the volume to liters, we get:
100 mL = 0.1 L
Then, applying our density formula:
d = m/v
d = 0.196 g / 0.1 L = 1.96 g/L
2.
Here, we know that the mass is 27 grams. However, we don't know the volume, which we need to find.
The block of wood is 3 cm on all sides, which means it's a cube. The volume of a cube is denoted by V = s³, where s is the side length. Here, s = 3, so V = s³ = 3³ = 27 cm³.
Applying our density formula gives:
d = m/v
d = 27 g / 27 cm³ = 1 g/cm³
~ an aesthetics lover
how do I do slope? i know nothing about it and i need to learn it.
Answer:
slope is easy it is rise over run.
Step-by-step explanation:
rise/run
rise means up
run means move sideways.
Answer: what do you mean by slope?
Step-by-step explanation:
the game that you have to control a ball and you have power-ups and you have to stay on platforms and you have to avoid the red rectangles?
What is 2+2? I think the answer is 6 :)
Answer: wut yea i think it's six too.
The answer is 4 because look at this: ♥ ♥
That's 2 hearts
If you add 2 more:
♥ ♥ ♥ ♥
1 2 3 4 --> 4 hearts!
♥ ♥ + ♥ ♥ = ♥ ♥ ♥ ♥
So, 2 + 2 = 4.
Ok :
The perimeter of a rectangle is 70cm. If the length of the rectangle is 5cm more than its breadth, find the dimensions of the rectangle.
Plsss help I put 15 points
Hope it helps man .....
Is this a good freestyle poem
Do you have a recommendation
What would people say if I were gone?
What would they write on my tombstone?
In 10 years would they even remember me?
If I don't even like myself why would people like me?
I feel like I am carrying my problems up a mountain, people have tried and helped but after a while, they just walk away.
Someone asks me can you take some of mine, of course, why not.
I feel like I am letting myself be crushed by my own problems but I want to help everyone else.
I don't want anyone to feel like I do so I try to take their problems to.
I have taken to many I am finally falling.
I am falling off the mountain will anyone even try to stop me from falling or will they let me go.
Let me go. Let me go.
Sometimes I wish someone would save me because I have been trying to save myself for too long.
But others times I wnder do they really want to help me or do they just want me to take some of their pain?
Answer:
Yes that is actually a good free verse, it contains emotions, questions, ( rhetorical) it don't have a repletion, a word that repeats in each stanza, but yes it is very good i actually showed this to my teacher and she said it was good :)
Rhombus ABCD with vertices A(2, 6), B(6, 7),
C(5, 3), and D(1, 2): 180°
Answer:
Step-by-step explanation:
Rule for the rotation of a point 180° about the origin is,
(x, y) → (-x, -y)
Therefore, images of the points after the rotation of 180° will be,
A(2, 6) → A'(-2, -6)
B(6, 7) → B'(-6, -7)
C(5, 3) → C'(-5, -3)
D(1, 2) → D'(-1, -2)
Now we can plot these points on the graph as attached.
5/8x + 1/3x = 69 x=_
Answer:
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Step-by-step explanation:
NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!!!!!!!!
I NEED HELP ON ALL THREE PLEASE!!!!
Answer:
16. H
17. C
18. G
Ayden filled up his car with gas before embarking on a road trip across the country. The car uses 2 gallons of gas for every hour driven, and after driving for 4 hours, there were 4 gallons of gas left in the tank. Write an equation for G,G, in terms of t,t, representing the number of gallons of gas remaining in Ayden's gas tank after tt hours of driving.
Answer:
G=-2t=12
Step-by-step explanation:
uh well i did delta thats was the answer they gave me...
Total capacity: 12 gallons
Equation: G = 12 - R*t
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Let R be rate of gas consumption by car = 2 gallons/hr
Let G be the gallons in the car left
let g be the gallons used by the car while driving
Driven time, t = 4 hrs
Remaining gas =4 gallons
according to the question,
consumption rate, R = g/t
After driving for 4 hours
2 = g/4
g = 2*4 = 8 gallons
remaining gas = 4 gallons
therefore, total capacity of the car = 8 + 4 = 12 gallons
equation in terms of gas left,
G = 12 - R*t
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The total budget for a landscaping project was $349.02, and the project called for 42 plants. What is the average cost per plant? Explain the method used for solving the problem.
Answer:
$8.31
Step-by-step explanation:
you have your budget of $349.02 that's for 42 trees you are deciding tour budget by 42 giving you $8.31 per tree.
please help me!! :)
Answer:
1/2
Step-by-step explanation:
hope this helps :o
Kevin and monica lead visitor tours at a museum. Last month, both kevin and monica led the same number of vistors. Kevin lead 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, which equation could be used to determine the number of students in each group?
Answer:
Number of students in each group = 8
Step-by-step explanation:
kevin and monica led the same number of vistors.
Let x = number of students in each group
Kevin lead 150 adults, plus 6 student groups.
150 + 6x
Monica led 134 adults, plus 8 student groups.
134 + 8x
Equate both equations
150 + 6x = 134 + 8x
Collect like terms
150 - 134 = 8x - 6x
16 = 2x
Divide both sides by 2
x = 16 / 2
= 8
x = 8
Number of students in each group = 8
what is the area of a semicircle with a diameter of 12.5 ft
radius = 12.5/2 = 6.25 feet
area = [tex]\frac{1}{2} \pi r^{2} = \frac{1}{2}\pi (39.0625) = 19.5312\pi[/tex] square feet
Graph y > 2x - 3 , Is (3 , -1) a possible solution to the inequality graphed above?
Answer:
No it cant
Step-by-step explanation:
(3,-1) is not a possible solution for the equation y > 2x-3
The points that touch the x and y intercept are (1.5,0) and (0,-3)
HELP PLEASE THIS IS DUE IN FIVE MINUTES
Answer: 0, 50
Step-by-step explanation: (h=0), 0=2t+100
2t=100
t=50
hopefully this helps
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
Answer:
19.04
Step-by-step explanation:
convert 170% into decimal form number:
1.7
Then multiply by 11.2:
1.7 × 11.2 = 19.04
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