9514 1404 393
Answer:
27 minutes
Step-by-step explanation:
The relevant relations are ...
1 min = 60 s
1 km = 1000 m
time = distance/speed
__
time = (8.1 km)×(1000 m)/(1 km)/(5 m/s)×(1 min/(60 s))
= (8.1×1000)/(5×60) min = 27 min
It takes 27 minutes to cover 8.1 km at a speed of 5 m/s.
Suppose that an airline overbooks seats on their flights. In particular, it sells 300 tickets for a flight when there are only 270 seats available. On average, we expect 15% of those with tickets to not show up. What is the probability that we will have enough seats for everyone who shows up
Using the normal approximation to the binomial, it is found that there is a 0.994 = 99.4% probability that we will have enough seats for everyone who shows up.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem:
15% do not show up, so 100 - 15 = 85% show up, which means that [tex]p = 0.85[/tex].300 tickets are sold, hence [tex]n = 300[/tex].The mean and the standard deviation are given by:
[tex]\mu = np = 300(0.85) = 255[/tex]
[tex]\sigma = \sqrt{np(1-p)} = \sqrt{300(0.85)(0.15)} = 6.185[/tex]
The probability that we will have enough seats for everyone who shows up is the probability of at most 270 people showing up, which, using continuity correction, is [tex]P(X \leq 270 + 0.5) = P(X \leq 270.5)[/tex], which is the p-value of Z when X = 270.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{270.5 - 255}{6.185}[/tex]
[tex]Z = 2.51[/tex]
[tex]Z = 2.51[/tex] has a p-value of 0.994.
0.994 = 99.4% probability that we will have enough seats for everyone who shows up.
A similar problem is given at https://brainly.com/question/24261244
which is closer to one, 7/8 or 8/7?
Explain without converting to decimals or using common denominators.
Do you mean one as a whole or number?
This is what I have got:
7/8 because it is only 1/8 less than a whole
A computer is on sale for 45% off the original price of $879. If you use the store credit card, you can receive an additional 10% off of the sale price.
What is the final price of the computer if you use the store credit card?
Answer:
$395.55
Step-by-step explanation:
45%+10%=55%
100%-55%=45%
Since 45% is 45/100 in fractions, use that x 879 for the final price.
45/100x879=395.55
Hope this helps! Thanks.
Answer:
435.11
Step-by-step explanation:
First find the sale price of the computer. Then take the additional 10% off of the sale price.
9
A car mechanic charges an initial fee to inspect a car plus an hourly rate to repair the car if no new parts
are needed. The total charges for the inspection and repair of cars with no new parts needed are shown in
the table below
The Mechanic's Bill
Number of
Total
Hours
Worked
Charges
$25
$60
2
$95
$130
4
$165
Which equation best represents the linear relationships between y, the total charges in dollars, and x, the
number of hours the mechanic worked?
0
1
3
A y = x + 35
B y = x + 60
cy - 35x + 25
Dy = 35x +60
Answer:
C) is correct answer
Step-by-step explanation:
In pic
(Hope this helps can I pls have brainlist (crown)☺️)
The equation y = 35x +25 represents the linear relationship between y, the total charges in dollars, and x, the number of hours the mechanic worked.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The given table shows the relationship between the total charges and the number of hours worked by the mechanic.
Number of hours worked, x Total charges, y
1 60
2 95
3 130
4 165
Let the equation for this relationship:
y = mx + c ....(i)
From the table, we can see that the mechanic charges an initial fee of $60, and then an additional $35 for each hour worked.
Here, m = {(95-60)/(2-1)} = 25
60 = 25(1) + c
c = 60 - 25 = 35
So, the equation is y = 25x + 35
Therefore, the equation y = 35x +25 represents the linear relationship.
Learn more about the equation here:
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Your fundraising group earns 25c for each lemonade and
50c for each tạco sold. One hundred tacos are sold. Your total profit is $100.
How many levonades are sold? Write an equation that models this situation.
Solve the equation using mental math.
Answer:
The answer is 100$ worth of lemonades
Step-by-step explanation:
Because 200$ are made with the tacos and lemonade so if the profit is 100 then you divide 100 by 2, so 50+50= 100.
the sum of three consecutive even integers if the largest number is y
Answer:
y
Step-by-step explanation:
4y=6 sorry thats all i know
solve the following system of equations for all three variables.
-9x-y+2z= -4
-6x+y+5z= 2
-4x+y+5z= 6
Answer:
x=2, z=4, y=-6
Step-by-step explanation:
Add
-9x-y+2z= -4
-6x+y+5z= 2
-9x-6x is -15x
-y+y is 0
2z+5z is 7z
-4+2 is -2
So the equation now looks like this: -15x+7z=-2
Subtract
-6x+y+5z= 2
-4x+y+5z= 6
So the equation will look like this:
-6x+y+5z= 2
-(-4x+y+5z= 6)
-6x+4x is -2x
y-y is 0
5z-5z is 0
2-6 is -4
So the equation now looks like this: -2x=-4
You can find x by dividing -2 on both sides:
x=2
So 2 is x
Now you can substitute x into 2
-15(2)+7z=-2
-30+7z=-2
7z=28
Divide 7 on both sides:
z=4
So now you can substitute z into 4 (For any of the three equation)
-4(2)+y+5(4)=6
-8+y+20=6
20 minus 8 is 12
y+12=6
Subtract 12 on both sides:
y=-6
So the answers are
x=2, z=4, y=-6
Hope this helps!
Help with question 13 only please.
I think it is B
It makes the most sense to me to do that
Jenny's test grades are 88, 95, 97, and 100.
What is her average?
Answer:
95
Step-by-step explanation:
For average you just add all the numbers together and divide by how many numbers there are.
88+95+97+100=380
380÷4=95
The average of the given data is 95.
What is an average?Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Given that Jenny's test grades are 88, 95, 97, and 100. The average of the numbers will be calculated by adding all the numbers and dividing it by the total count of the numbers.
For average you just add all the numbers together and divide by how many numbers there are.
Average = ( 88+95+97+100 ) / 4
Average = 380 / 4
Average = 95
Therefore, the average of the given data is 95.
To know more about an average follow
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wHaT iS tHe AnWsEr?????????????
2,000 +300000000000000000000000000000000000
Answer:
3.0 E35
Step-by-step explanation:
Thanks.
-3/5 is greater than or less than -4/5
-3/5 is greater than -4/5
Step-by-step explanation:
If they were just regular positive numbers then yes, it would be less than -4/5. However since they are negative for this I will switch them to decimals, . -.60 is more an -.80 because it is basically like a dept you owe.
HELP LAST ATTEMPT!! marking as brainliest!
Answer:
i m not sure... whether it's correct or not......
bt I tried my best
Plz help I need help
Answer:
What do you need help with mate?
Step-by-step explanation:
you don't have a question posted.
What does it mean to “solve” the following equation for y.
Grandpa has a barrel of apples. 2/5 of the apple are rotten. 24 of the apples are good. How many apples are there in total?
Answer:
40 Apples
Step-by-step explanation:
3/5 of the apples are good so divide 24 by 3 which is 8, then multiply 8 by 2 which is 16, add 24 and 16 together to get 40. Let me know if I'm wrong.
I don’t get this at all help.?
Answer:
Step-by-step explanation:
a) Volume of prism: 6 units x 4 units x 7 units = 168 cubic units
b) Area of shaded base: 4 units x 7 units = 28 square units
Volume of prism: 6 x 4 x 7
Write the equation in point slope form
Answer: X=4/2x+3
Step-by-step explanation:
I just know
If there were 310 million people in the United States, what was the daily consumption rate in barrels per person in the United States? This is also called "barrels per capita." Round to the nearest hundredth of a barrel.
The daily consumption rate in the United States will be 10 barrels per person.
Your question is incomplete as you didn't provide the total barrels, therefore, an overview of the answer will be given. In their case, let's assume that the total barrels is given as 3.1 billion.
Therefore, the barrels per person will be:
= Total barrels / Population
= 3.1 billion / 310 million
= 10 barrels per person.
In conclusion, the correct option is 10 barrels per person.
Read related link on:
https://brainly.com/question/25261899
Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use to find x, the number of gallons of water he should add?
[tex]1.( \frac{0.8}{8 + x} )( \frac{5}{100} = 1 \\ 2. \frac{0.8}{8 + x} = \frac{5}{100} \\ 3. \frac{0.8}{8 + x} = \frac{100}{5} \\ 4. \frac{0.8}{8 + x} \div \frac{5}{100} = 1[/tex]
Answer:
2) 0.8/8+x=5/100
Step-by-step explanation:
Answer:
letter B is the correct answer!
please answer the question above
If a polygon has 20 sides, then the sum of all of its interior angles is 3240°.
There are 120 apples, 1/16 have sprinkles. How many have sprinkles?
Answer:
7.5
Step-by-step explanation:
because 7.5 x 16 = 120
-8+r>-8
please show work
Hello there!
-8+r>-8
Move all the numbers to the right:
r>-8+8
r>0
Hope it helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
Last year Kaitlin opened an investment account with $7600. At the end of the year, the amount in the account had increased by 6.5%. How much is this increase in dollars? How much money was in her account at the end of the year
The increase was: 494
step 1: find the factors of ac that add up to b. ac=6(−10)=−60 b=−11 the factors of −60 that add up to −11 are and . step 2: rewrite the trinomial with the x-term expanded, using the two factors from step 1. 6x2−11x−10 (6x2− )+( −10) step 3: group the first two and second two terms together, find the gcf and factor again. (2x−5)+ (2x−5
Answer:
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅−10=−60 and whose sum is b=−11
.
6x2+4x−15x−10
Factor out the greatest common factor from each group.
2x(3x+2)−5(3x+2)
Factor the polynomial by factoring out the greatest common factor, 3x+2
.
(3x+2)(2x−5)
Reniel is 13 years old. He is two years younger than his brother, Gelo. If Gelo is five times older than their sister, how old is their sister?
Use the Quadratic Formula to solve for x and then determine whether your solution is real or
complex.
y = x2 - 4x + 9
**Remember y = 0**
O Real
o Complex
Answer:
[tex] {x}^{2} - 4x + 9 = 0 \\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x=\frac{-( - 4)\pm\sqrt{( - 4)^2-4(1)(9)}}{2(1)} \\x=\frac{ 4\pm\sqrt{ 16-36}}{2} \\ x=\frac{ 4\pm\sqrt{ - 20}}{2} \\ x=\frac{ 4\pm2i\sqrt{ 5}}{2} \\ x = 2\pm \: i\sqrt{ 5} \\ D = {b^2-4ac} \\D = { 16-36} \\ = - 20 < 0 \rightarrow \: x \in \: \mathbb{C} \: \\ x \: is \: complex [/tex]
You buy tomatoes sauce for 0.37per ounce. One portion of potatoes gnocchi requires 3.5 ounces of tomatoe sauce. How much does the sauce for one portion cost
Answer:
it would cost $0.74 = 74 cents
Step-by-step explanation:
The cost of one ounce of tomato = $0.37
1 portion of potato gnocchi requires 2 ounces of tomato sauce.
To find the cost of one portion of the potato gnocchi, we have to simply find the cost of 2 ounces of tomato sauce.
That is:
Cost = 2 * 0.37 = $0.74
Hence, one portion of potato gnocchi costs $0.74
Since $1 = 100 cents, the cost in cents will be:
0.74 * 100 = 74 cents
Plz help I need help
Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown: A coordinate grid is shown from negative 5 to 0 to 5 on both x -and y-axes. A polygon ABCD has A at ordered pair 1, 3, B at ordered pair 3, 4, C at ordered pair 2, 1, D at ordered pair 1, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 3, 3, B prime at ordered pair negative 5, 4, C prime at ordered pair negative 4, 1, D prime at ordered pair negative 3, 1. Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD? (1 point) Reflection about the x-axis followed by a translation to the right by 2 units Reflection about the y-axis followed by a translation to the left by 2 units Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 2 units Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units
Answer:
i need this answer too
Answer:
The appropriate choice is the 2nd one ...
... Reflection over the y-axis followed by a translation down by 5 units.
Step-by-step explanation:
The transformed figure has the opposite orientation (A'B'C'D' is counterclockwise, whereas ABCD is clockwise), so a reflection is involved. The sgment C'D' is still at the bottom, as is CD, so the reflection must be across a vertical line.
In the attached, the light-blue figure A''B''C''D'' shows the reflection of ABCD across the y-axis. It is easy to see that figure A'B'C'D' is a translation of that 5 units downward.
The appropriate choice is the 2nd one ...
... Reflection over the y-axis followed by a translation down by 5 units.
step by step explanation, please
Answer:
[tex]a=\displaystyle \frac{k}{w+v}[/tex]
Step-by-step explanation:
Hi there!
[tex]\displaystyle \frac{k}{a} =w+v[/tex]
Multiply both sides by a:
[tex]a*\displaystyle \frac{k}{a} =a(w+v)\\\\k=a(w+v)[/tex]
Divide both sides by (w+v):
[tex]\displaystyle \frac{k}{(w+v)} =\displaystyle \frac{a(w+v)}{(w+v)}\\\\\displaystyle \frac{k}{w+v} =a[/tex]
I hope this helps!
