Question
Seat belt use in a state was estimated at 89%,
which means 89 % of people use their seat belts. Suppose two independent drivers have been randomly selected.
a. What is the probability that both of them are using aseatbelt?
b. What is the probability that neither of them is using aseatbelt?
c. What is the probability that at least one is using aseatbelt?
The probability that both of them are using a seatbelt is ?
Answer:
a
[tex]P(B) = 0.7921[/tex]
b
[tex]P(B)' = 0.0121[/tex]
c
[tex]P(K) = 0.9879[/tex]
Step-by-step explanation:
From the question we are told that
The proportion of seat belt use is p = 0.89
The sample size n = 2
Generally the probability that both drivers are wearing seat belt is mathematically represented as
[tex]P(B) = (p)^n[/tex]
=> [tex]P(B) = (0.89 )^2[/tex]
=> [tex]P(B) = 0.7921[/tex]
Generally the probability that neither of the two drivers are wearing seat belt is
[tex]P(B)' = (1 - p)^2[/tex]
=> [tex]P(B)' = (1 - 0.89)^2[/tex]
=> [tex]P(B)' = 0.0121[/tex]
Generally the probability that at least one of the drivers is wearing a seat belt is
[tex]P(K) = 1 - P(B)'[/tex]
=> [tex]P(K) = 1 - 0.0121[/tex]
=> [tex]P(K) = 0.9879[/tex]
On a farm, a cow eats about 24 pounds of hay per day. If hay costs $1.55 per pound, how much does it cost to feed a cow each day?
Answer:
$37.20 per day
Step-by-step explanation:
Since $1.55 is the amount per pound you would multiply 1.55 x 24 to get 37.5 and since it is money you would add a zero at the end, it would look like so,
$37.20
Hope that helps and have a great day!
Answer:37.2
Step-by-step explanation:
so first you do 24 since its the pounds and since that's for a whole day so if you do a 24 times 1.55 which is 37.2 i hope this helps and can i get the brainiest
HELP QUICKLY!!! HELP QUICKLY!!!
When simplifying 5(−2)(9) − 3, a student first subtracted 3 from 9. Is this the correct first step? Explain.
Answer:
No, you should multiply first.
Step-by-step explanation:
Use PEMDAS. It means parenthesis, exponents, multiplication and division (left to right), and addition and subtraction (left to right). You should multiply 5*-2, then that product *9, then subtract 3. Hope this helps! :)
A family is saving up for a house payment. If they deposit $400 each month into an account that pays 4.8%intrest compounded monthly how much money will they have in 8 years from now
Answer:
44,956
Step-by-step explanation:
Future value
A family is saving up for a house payment. If they deposit $400 each month into an account that pays 4.8% interest compounded monthly how much money will they have in 8 years from now
The formula =
P = d( (1 + r/k)^nk - 1)/r/k
d = Amount deposited monthly = $400
r = interest rate = 4.8% = 0.048
k = compounding frequency = 12 months
n = number of years = 8
P = 400((1 + 0.048/12)^8 × 12 - 1)/0.048/12
P = (400 ( 1 + 0.004)^96 - 1)/0.004
P = (400 ( 1.4495569791 - 1)/0.004
P = 40(0.4495569791)/0.004
P = 179.82279162/0.004
P = 44955.697906
Approximately
P = 44,956
There Are 13 Girls And 17 Boys In Juan's Math Class Girls Are What Fraction Of The Class? Boys Are What Fraction? Girls= Boys=
Answer:
girls: 13/30
boys:17/30
Step-by-step explanation:
Answer:
13/30(girls) =0.43333333 repeating
Step-by-step explanation:
17/30(boys)=0.56666666 repeating
Hope this helped :D
somebody help me :(
Evaluate the following expression if w = 10, x = 8, y = 6, z = 4
3z to the power of 2 minus 20
Answer:
28
Step-by-step explanation:
3z^2 - 20
substitute z for 4 (given)
3*4^2 - 20
3*16 - 20
48 - 20
28
Jada and Noah went to dinner. They added up the prices listed on the menu for everything they ordered and got a subtotal of $54. When they got their check, Noah realized that the tax was not figured in. If the tax rate is 7.5%, what is their new total?
Answer:
$58.05
Step-by-step explanation:
[tex] \frac{7.5}{100} \times 54 = 4.05[/tex]
[tex]54 + 4.05 = 58.05[/tex]
i think this is the answer
Answer:
$58.05
Step-by-step explanation:
Which step should they take next to find a meeting place that is the same distance from each person's house? Find the midpoint of the segments which connect their houses. Bisect each of the angles with vertices at their houses. Draw perpendicular lines through any point on the segments which connect their houses. Draw perpendicular line segments from each vertex to the opposite side.
Answer:
A. Find the midpoint of the segments which connect their houses.
Step-by-step explanation:
correct on edge 2020.
Answer:
Find the midpoint of the segments which connect their houses.
Step-by-step explanation:
If you find the midpoint between all of their houses, then that midpoint represents where they will meet up. And that is indeed what you are trying to find, you are trying to find.. the midpoint.
Therefore A is the correct answer.
(also verified on edge)
Hope this helps! :)
1.
Bill has
WIN
of his pizza left from lunch. If he eats
7
more of the pizza, how much pizza is left pls answer I need help
Answer:
Option D) 5/21 pizza is left.
Step-by-step explanation:
Bill has 2/3 of his pizza left from lunch. If he eats 3/7 more of pizza then we have calculate the pizza left.
Let the size of a pizza is x. Now 2x/3 pizza is left with Bill after lunch.
Therefore pizza eaten by Bill = x - 2x/3 = x/3
Now Bill eats 3/7 more of pizza has been eaten by Bill.Therefore total pizza left is
x - x/3 - 3x/7 = x(1 - 1/3 - 3/7) = x( 21 - 7 - 9)/21 = 5x/21
So 5/21 part of pizza is left.
1/4 OF MY POINTS For this assignment, you will use sinusoids to model mathematical and real-world problems.
Background Information
Data sets that are cyclical, harmonic, oscillating, or periodic can be modeled with sinusoidal functions.
Finding key features such as minimum, maximum, amplitude, period, and frequency are helpful in
determining a sinusoidal model. Recall that the general forms of equations of sinusoids can be in these
forms: y = a sin(b(x – h)) + k or y = a cos(b(x – h)) + k.
Assignment Instructions
For this project, you are expected to submit the assignment (Parts 1 and 2) at the end of this document.
Step 1: Prepare for the performance task.
a) Read through the guide before you begin so you know the expectations for this assignment.
b) If there is anything that is not clear to you, be sure to ask your teacher.
a) If your word processing program has an equation editor, you can insert your equations here.
Otherwise, print this activity sheet and write your answers by hand.
Step 2: Complete Parts 1 and 2 in the Assignment section of this document.
a) Read all directions carefully.
b) Complete each task.
c) Insert images or screenshots of graphs when needed. Be sure that all graphs or screenshots
include appropriate information such as titles, labeled axes, etc.
d) Be sure to show all your work, You will be given partial credit based on the work you show and
the completeness and accuracy of your explanations
e) Consider underlining and circling important components in the problems.
Step 3: Evaluate your project using this checklist.
If you can check each box below, you are ready to submit your project.
Have you answered all questions in Part 1 and Part 2?
Have you shown your work?
Did you include an image or screenshot of a graph when requested?
Are all your equations correct? Be sure to check your formatting carefully.
Step 4: Revise and submit your project.
a) If you were unable to check off all of the requirements on the checklist, go back and make
sure that your project is complete. Save your project before submitting it.
b) Your teacher will give you further directions about how to submit your work. You may be
asked to submit your responses through the virtual classroom, email it to your teacher, or print
it and hand in a hard copy.
c) Congratulations! You have completed your project.
Answer:
A) (x + 3)2
+ (y -1)2
= 2
B) (x - 3)2
+ (y + 1)2
= 2
C) (x + 3)2
+ (y - 1)2
= 4
D) (x - 3)2
+ (y + 1)2
= 4A) (x + 3)2
+ (y -1)2
= 2
B) (x - 3)2
+ (y + 1)2
= 2
C) (x + 3)2
+ (y - 1)2
= 4
D) (x - 3)2
+ (y + 1)2
= 4
Step-by-step explanation:
Derrick's Doggie Day Care charges a $12 registration fee plus $5 per hour for pet sitting. Pauline's Pooch Park charges $3 per hour plus an $18 registration fee. Which inequality below can be used to find the number of hours, h, for which the cost of Derrick's Doggie Day Care is at most the cost of Pauline's Pooch Park?
Answer:
the number of hours is >4
Step-by-step explanation:
given data
Derrick's Doggie
$12 registration fee plus $5 per hour for pet sitting.
the total charges for Derrick's Doggie will be
y=12+5h---------------1
Pauline's Pooch Park charges $3 per hour plus an $18 registration fee.
the total charges for Derrick's Doggie will be
y=18+3h---------------2
equating 1 and 2 we can solve for h which is the number of hours
12+5h=>18+3h
12-18=3h-5h
-8=-2h
h=8/2
h=>4
Please help due in 15 min
Answer:
Options 2, 4, 6
Step-by-step explanation:
1/3x+2/3=10 remember to eliminate the denominator
Answer:
x=28
Step-by-step explanation:
1/3x+2/3=10
3(1/3x+2/3)=3(10)
x+2=30
x=28
Use the following information to complete parts I, II and III.
1 hour = 3,600 seconds
1 year = 31,556,952 seconds
Part I: Use scientific notation to estimate the number of hours in one year.
Part II: Use scientific notation to calculate the exact number of hours in one year.
Part III: In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences in your answers.
Answer:
Part I: Use scientific notation to estimate the number of hours in one year
Using the conversion factors
Estimate using scientific notation
31,556,952 seconds = 3.2 * 10^7
3600 seconds = 3.6 * 10 ^2
1 year = 3.2 * 10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds
3.2 /3.6 =.88888 (repeating)
10^7 / 10^2 = 10^5
8.88888 * 10 ^5
8.888 * 10 ^4 hours
Part II: Use scientific notation to calculate the exact number of hours in one year.
31,556,952 seconds = 3.1556952 * 10^7
3600 seconds = 3.6 * 10 ^2
1 year = 3.1556952 * 10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds
3.1556952 /3.6 =.876582
10^7 / 10^2 = 10^5
.876582 * 10 ^5
8.76582*10^4 hours
Part III: In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences in your answers.
Part II is an exact answer, where Part I is an estimate. Both Parts give values in the thousands of hours, and are both between 8700 and 8900 hours. Part I can be done without a calculator where Part II is much harder to do without a calculator.
Step-by-step explanation:
Find the length of the missing side
Answer:
23
Step-by-step explanation:
first we flip the shape on its head so we can use pythagrean theroum so 8+15= 23squared is the hypotonuse.
Answer:
x = 17
Step-by-step explanation:
Pythagoreme Theorme:
a2 + b2 + c2
8*2 + 15*2 = c2
289 = c2
17 = c --> x
Fredrick earned $104 for 8 hours of work. At this rate, how much will he earn for 40 hours of work?
$104=8hours
Let's find by how much he earns every hour by
$104/8
=$13
So he earns $13 every hour and for 40hours he earns
13x4= $52
So he earns $520 in 40 hours
Answer:
$520
Step-by-step explanation:
104÷8=13
13×40=520
Lee's uncle is installing a new pool in his backyard. The pool is a square and has an area of 121ft^2. He decides to build a 4 ft wide deck to surround the pool. What is the outside perimeter of the deck? The small square is the pool and the deck is the big square
Answer: 76 feet
Step-by-step explanation:
Given: The pool is a square and has an area of [tex]121ft^2[/tex].
We know that , area = side²
⇒ side= √area
⇒ side= √121=11 feet
Width of deck =4 feet
Length of deck around pool = 11+4+4 = 19 feet
Outside perimeter of deck = 4 (19) = 76 feet [since perimeter of square = 4 (side)]
Hence, Outside perimeter of deck = 76 feet
What is the slope of a line perpendicular to the line whose equation is 2x+y=6. Fully reduce your answer
Answer:
The slope would be -2.
sandy has several pitchers to hold lemonade
Answer:
320 ounces
Step-by-step explanation:
64 3 1 1
x2 48 128
___ x4 +192
128 ___ ___
192. 320
Please help fast will give brainliest
Answer: A. 32
Step-by-step explanation:
John lost 1.44 after a week of exercise. One kilogram is equal to approximately 2.2 pounds. Which measurement is closest to the number of pounds that john lost?
Given :
John lost 1.44 kg after a week of exercise.
One kilogram is equal to approximately 2.2 pounds.
To Find :
Which measurement is closest to the number of pounds that john lost.
Solution :
1 kg = 2.2 pounds .
Let, John lost x pounds.
x = 2.2 × 1.44 pounds
x = 3.168 pounds
Therefore, the number of pounds that john lost is 3.168 .
Hence, this is the required solution.
Given :
John lost 1.44 kg after a week of exercise.
One kilogram is equal to approximately 2.2 pounds.
To Find :
Which measurement is closest to the number of pounds that john lost.
Solution :
1 kg = 2.2 pounds .
Let, John lost x pounds.
x = 2.2 × 1.44 pounds
x = 3.168 pounds
Therefore, the number of pounds that john lost is 3.168 .
Hence, this is the required solution.
HELP!!!! BRAINLIEST
WHATS THE ANSWER+EXPLINATION
Answer:
If 5x = 8 then 5x + 3
= 8+3
= 11
Answer:
5x+3=11
Step-by-step explanation:
5x=8
transpose
x=8/5
x=1.6
5 x 1.6= 8
..........x..........
5x+3=?
5(1.6)+3=?
8+3=11
therefore, 5x+3=11
please mark as brainliest!!!
hope this helps
help please and thank you
Answer:<
Step-by-step explanation:the square root of 11 is 3.3 and that is less than 4
Answer:
<
Step-by-step explanation:
We can solve this easily by simply converting 4 to the root of its square. 4 squared is 16, and root 16 gives back 4 so the value remains the same.
[tex]4 = \sqrt{16 } \\ [/tex]
Now, we can compare the two values. As 11<16, the same will hold true for its square roots.
So your final answer would be <.
Hope this helps! :D
Which fraction is equivalent to 16.6%
Answer:
16.6%=83500 , this is roughly equal to 16
Determine if (4, -5) is a solution of the equation y=12x−7. Explain how you made your decision.
what is the value of y in the proportion?
Answer:
The value of y is I'm pretty sure is 4
Step-by-step explanation:
6+(-5)+7-1
A. 9
B. 7
Which one?
-1/2 divided by what = -7/3
3/14
yan na yung answer sana maka tulong
Answer:
(3/14)
Step-by-step explanation:
(-1/2)/x = (-7/3)
(-1/2) = (-7/3)x
(-3/6) = (-14/6)x
(-3/6) = (-14/6)(3/14)
(-3/6) = (-42/84)
(-1/2) = (-1/2)
(-1/2)/x = (-7/3)
(-1/2)/(3/14) = (-7/3)
(-1/2) x (14/3) = (-7/3)
(-14/6) = (-7/3)
(-7/3) = (-7/3)
Find the distance from pint A(-6,4) To the equation y=1/3x-4
Only these two questions, I need answers with proof!