Answer:
455554444444555556555555554444
Assume that police estimate that 30% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars
to check for seatbelt use. They stop 40 cars during the first hour.
a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the
fact that the mean of a geometric distribution is j = and the variance is 02 - 9
1
р
2
b. How many cars do they expect to stop before finding a driver whose seatbelt is not buckled?
=
물
...
The mean is
(Round to the nearest tenth as needed.)
The variance is
(Round to the nearest tenth as needed.)
The standard deviation is
(Do not round until the final answer. Then round to the nearest tenth as needed.)
They expect to stop cars before finding a driver whose seatbelt is not buckled.
(Round to the nearest tenth as needed.)
Using the binomial distribution, it is found that:
a)
The mean is of 12.The variance is of 8.4.The standard deviation is of 2.9.b) They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.
For each driver, there are only two possible outcomes, either they wear their seatbelts, or they do not. The probability of a driver wearing their seatbelt is independent of any other driver, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In this problem:
30% of drivers do not wear their seatbelts, hence [tex]p = 0.3[/tex].They stop 40 cars during the first hour, hence [tex]n = 40[/tex].Item a:
[tex]E(X) = np = 40(0.3) = 12[/tex]
[tex]V(X) = np(1-p) = 40(0.3)(0.7) = 8.4[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{40(0.3)(0.7)} = 2.9[/tex]
Hence:
The mean is of 12.The variance is of 8.4.The standard deviation is of 2.9.Item b:
The number of trials until q successes of a binomial variable is modeled by a geometric distribution, with expected value given by:
[tex]E(X) = \frac{q}{p}[/tex]
In this problem, one success, hence [tex]q = 1[/tex] and:
[tex]E(X) = \frac{q}{p} = \frac{1}{0.3} = 3.3[/tex]
They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
pls help me
I am giving brainliest
One-half of one-seventh of T equals one-third of one-fifth of 90. What is the value of T
Answer:
Step-by-step explanation:
This is the equation. Read it carefully.
1/2 * 1/7 T = 1/3 * 1/5 * 90 Reduce
(1/14) * T = 1/15 * 90
1/15 * 90 = 6
(1/14)*T = 6 Multiply both sides by 14
T = 14 * 6
T = 84
100 POINTS PLS ANSWER
There are 7 friends who went to the bowling alley. Three of the friends each 1 point
bought a game of bowling for $x and a snack pack for $5. The other four
friends only bought a game of bowling. Choose ALL equivalent expressions
that represent the total cost for all 7 friends.
3x+15+4x
8 + 3 + 4x
7x+15
3(x+5)+4x
8 + 15 + 4x
Answer:
8+15+4x and 3x+15+3x
Step-by-step explanation:
What is the perimeter of the triangle?
Answer:
L1 + L2 + L3 = perimeter
Step-by-step explanation:
You add each side of the triangle together.
Answer:
L1+L2+L3
Step-by-step explanation:
You add all the sides of the triangle to get the perimeter
What equation represents this sentence? 42 is the quotient of a number and 6.
Answer:
42= x/6
Step-by-step explanation:
Quotient means the answer of a division problem
sense we don’t know the ”number” in this situation it will be seen as a variable or x
x / 6 = 42
to find x we just do 42/6 to get 7
x=7
Serena is driving to the mountains for a summer
camping trip. She is traveling at a constant rate of 45
miles per hour. The graph shows the ratio time:
distance. How far has Serena traveled after 4 hours?
help plsssssssssssssss
Answer:step 2
Step-by-step explanation:
A hybrid car can go 400 miles on 8 gallons of gas. How far can the car take you with 1 gallon of gas?
Answer:
50 miles
Step-by-step explanation:
Take the number of miles and divide by the number of gallons
400 miles / 8 gallons
50 miles per gallon
Answer:
50 miles
Step-by-step explanation:
if for each 8 gallons it can go to 400 miles
so the 8 will be divided to 8 and get 1
and also divide the 400 into 8 you will get 50 miles per 1 gallon
(5 + 16) = 7 + (4 x 7) =
Bidmass
Answer:
(5 + 16)=7 + (4 x 7)
Step by step - explanation:
Solve:
Add the numbers
(5 + 16)= 21.
(4 x 7) = 28 + 7 = 35.
So the result is 21 = 35.
Hope that helps. x
Answer:
Step-by-step explanation:
(5+16)=7+(4.7)
(21)=7+(4.7)
21=7+(4.7)
21=7+(28)
21=7+28
21=35
Answer: 21=35
Don’t know where to start
Answer:
A = 80π
Step-by-step explanation:
Area of a circle is A = πr²
Area of the the largest circle - Area of the smaller circle = the shaded part.
Largest circle - Area of the smaller circle = Shaded part of circle
A = π(12)² - A = π(8)²
144π - 64π = 80π
(Quick Please) 8x - 4 < -36 solve the equality show your work
Answer is -4
Step-by-step explanation:
8x-4< -36
8x < -36+4 (move [- 4] to the other side to find x)
8x < -32
8x < -4
Answer:
x < -4
Step-by-step explanation:
8x - 4 < -36
+4 +4 (Add 4 on both sides)
8x < -32
/8 /8 (Divide by 8 on both sides)
x < -4
Solve for x. 3x+11=9x-14
Answer:
x=25/6
Step-by-step explanation:
3x+11=9x-14
11=6x-14
25=6x
x=25/6
Answer:
[tex]x=\cfrac{25}{6}[/tex]
or
[tex]x=4.16[/tex]
Step-by-step explanation:
[tex]3x+11=9x-14[/tex]
[tex]3x+11-11=9x-14-11[/tex]
[tex]3x=9x-25[/tex]
[tex]3x-9x=9x-25-9x[/tex]
[tex]-6x=-25[/tex]
[tex]\cfrac{-6x}{-6}=\cfrac{-25}{-6}[/tex]
[tex]x=\cfrac{25}{6}[/tex]
Have a good day!
Look back at the plans these students used to solve the word problem below.
Who found a correct solution?
- STEP 4: LOOK BACK
According to soap box derby rules, a racer must weigh 250
pounds or less. The Math Club's car weighed in at 266
pounds on the day of the derby. How many pounds did the
Math Club need to remove from their soap box racer?
Dana added the weight limit to the Hector subtracted the weight limit
racer's weight. Since
from the racer's weight. Since
250 +266 = 516, the Math Club 266 - 250 = 16, the Math Club
needed to remove 516 pounds from needed to remove 16 pounds
the racer
from the racer
O A. Dana
B. Hector
the perimeter of a square is 44 cm find the area
Answer:
The given perimeter is \[44cm\]. Hence, the area of the given square is \[121c{m^2}\].
Step-by-step explanation:
Help help help math math math
81°
Step-by-step explanation:
The sum.of the interior angles of a triangle is equal to 180°. Hence, in our triangle, we can see that
[tex]41° + 58° + \angle{3} = 180° \Rightarrow 99°+\angle{3} = 180°[/tex]
We then see that
[tex]\angle{3} = 180° - 99° = 81°[/tex]
Answer: 81 i believe
Step-by-step explanation:
Grandma Maude wanted a tall cake for her 80th birthday. The baker made a cake with 4x3 – x layers. Each layer was 2 + 3x2 cm. Which expression shows the total height of Grandma Maude’s cake?
Using proportions, it is found that the expression that shows the total height of Grandma Maude’s cake is:
[tex]t = 12x^5 + 5x^3 - 2x[/tex]
This question is solved by proportions, using a rule of three.The measure of one layer, in cm, was of [tex]2 + 3x^2[/tex]. In total, there were [tex]4x^3 - x[/tex] layers.The rule of three is:
1 layer - [tex]2 + 3x^2[/tex] cm
[tex]4x^3 - x[/tex] layers - t cm
Applying cross multiplication:
[tex]t = (4x^3 - x)(2 + 3x^2) = 12x^5 + 5x^3 - 2x[/tex]
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Answer:
12x5 + 5x3 – 2x cm
Step-by-step explanation:
Geoff works at a warehouse , earning $17.50 per hour plus a $200 what’s the equation?
Answer:
P = 17.50x + 200
Step-by-step explanation:
x is the number of hours worked
P is how much money Geoff earns
I need help with this solve
Answer:
the answer is 64%
Step-by-step explanation:
80/125 = 64
-2x^2 + (y)(x/3); use x= -3, and y = 2
Answer:
-2(x^2+1)
Step-by-step explanation:
1. Divide The Numbers:
-2x^2+2(-3/3)
-2x^2+2(-1)
2. Multiply The Numbers:
-2x^2+2(-1)
-2x^2-2
3. Common Factor:
a. Factor by grouping
-2x^2+2(-3/3)
-2x^2-2
b. Factor by Grouping
-2x^2-2
-2(x^2+1)
-2x^2+(2)(-3/3)
Solution: -2(x^2 + 1)
answer both pls help fast
Answer:
Answers given in the photo
Find the median of the following data set. 0.48, 0.66, 1.02, 0.82, 0.7, 0.94 0.44 1.02 0.76
Calculator
6 mm
What is the area of this figure?
6 mm
Enter your answer in the box.
8 mm
8 mm
mm
Answer:
[tex] {84mm}^{2} [/tex]
Step-by-step explanation:
Area of square= l×l
Area of square= 6mm × 6mn
Area if square = 36 mm²
Area of triangle 1= ½b ×h
Area of triangle 1= ½ (6mm)(8mm)
Area of triangle 1 = 24 mm²
Area of triangle 2 is the same as area of traingle 1 because they have the same base and hight
: . area of triangles is 48mm²
Area of the figure= Area of square + Area of triangles
A of figure = 36+48
A of figure = 84 mm²
Option 2
Use trapezium formula
Area of trapezium= (a+b)/2 * h
a=6 mm (base)
b=8+6=14 mm (Base)
h= 6mm (height)
[tex]area \: of \: trapezium = ( \frac{6 + 14}{2} )(6) \\ = 60mm ^{2} [/tex]
Therefore the area of triangle= 24mm² as calculated in option 1
Area of the figure= Area of trapezium +Area of triangle
Area of figure = 60+24
= 84 mm²
Which of the following is the figure most likely the graph of?
A) f(x) = (2/3)x
B)f(x) = –2x
C)f(x) = (3/2)x
D)f(x) = 2x
The accurate line represented by line b because during such experiment ( osmosis or mass transfer) there would be a time where the system be in equilibrium meaning that that the net movement will be zero. In line B at time starting 15 min equilibrium is reached no further movement is attained beyond it.
If x = 6, what is the value of 3x2 - 13?
Answer:
the answer should be 95
Step-by-step explanation:
hope this helps!❆
Answer:
value is 95
Step-by-step explanation:
if x = 6
------------
3x² - 133(6²) - 133(36) - 13108 - 1395value of 3x2 - 13 is 95
How do I rewrite the improper fractions as a mixture number? Please explain step by step to get marked as brainliest
Answer:
1) Divide the numerator by the denominator.
2) Write down the whole number result.
3) Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.
Step-by-step explanation:
not sure of this will help... but hope it does!
Answer:
Explained below :)
I tried my best to explain, sorry if it doesn't make sense
Step-by-step explanation:
Example problem: 11/4 (Mixed number)
1: 11 divided by 4 = 2 (whole number) with a remainder of 3
( Numerator divided by denominator) (Don't turn the number into a decimal leave the remainder)
2: Take the remainder and put it over the denominator 3/4
3: Whole number beside the remainder over the denominator
Your answer would be 2 3/4
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )
Answer:
[tex] \frac{vw}{gf} = \frac{uv}{hg} [/tex]
[tex] \frac{72}{132} = \frac{6x + 12}{143} [/tex]
[tex] \frac{6}{11} = \frac{6x + 12}{143} [/tex]
Now we cross multiply
6×143=11(6x+12)
858=66x+132
858-132=66x
726=66x
x=11
A scuba diver descends farther down into the ocean from an initial depth of 15.2 feet below sea level. The scuba diver descends at a constant rate for 212 minutes and reaches a depth no more than 46.7 feet below sea level.
What is the maximum rate, r, that the scuba diver may descend?
r≥241925
r≤12.6
r≤241925
r≥12.6
Answer:
r <= 12.6
Step-by-step explanation:
Let's calculate the rate at which he descends:
r = (46.7 - 15.2)/212 = 0.15 feet/minute
6) Solve
5x < -10
AX <-2
B) x>-2
CXC-15
D) x < -50
Hey there!
5x < -10
DIVIDE 5 to BOTH SIDES
5x/5 < -10/5
CANCEL out: 5/5 because it gives you 1
KEEP: -10/5 because it helps solve for the x-value
NEW EQUATION: x < -10/5
SIMPLIFY IT!
x < -2
It is an OPEN circle shaded to the RIGHT
Therefore, your answer should be:
Option A. x < -2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please write in full sentences.
Brainliest and 100 points.
If you don't know then don't answer.
Answer:
no because there is a 10 which make it not proportional
Step-by-step explanation:
hope that helps.
Answer: No they are not proportional because the last row has -10 which obstructs the whole relationship.