Answer:
$3,550 dollars
Step-by-step explanation:
6.4% off savings
- a total of $2,400
The percentage is that indicating the hundredth total amount in the saving account before withdrawing such that 6.4% of that is $2400 is $37500.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
Let's suppose the total amount of money before withdrawing x.
It is known that x% of y is given as, (x/100)y.
Therefore,6.4% of x is (6.4/100)x = 0.064x
The 6.4% of the x is 2400
So, 0.064x = 2400
x = 2400/0.064 = $37500
Hence "The percentage is that indicating the hundredth total amount in the saving account before withdrawing such that 6.4% of that is $2400 is $37500.".
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Nicole runs 6 miles in 45 minutes. At the same rate, how many minutes would she take to run 4 miles?
Answer:
30 minutes
Step-by-step explanation:
6=45
4=x
6x2/3=4
45x2/3=30
x=30
Answer:
66 minutes
Step-by-step explanation:
please please please help me do not get this
Answer:
4
Step-by-step explanation:
The blue figure is a dilation of the red figure. Identify the type of dilation and find the scale factor.
The dilation is
an enlargement
.
Question 2
The scale factor is
.
The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. (a) What is the probability that more than three aircraft arrive within an hour? (b) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals?(c) Determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.10.
Answer:
(a) The probability that more than three arrive in one hour is approximately 0.018988
(b) The probability that no interval contains more than 3 arrivals in 30 separate one-hour intervals is approximately 0.56264
(c) The length of time such that the probability of no arrival is 0.1 is approximately 2.30259 hours
Step-by-step explanation:
The distribution of the arrival time of a small aircraft = Exponential distribution
The mean arrival time, μ = 1 hour
The pdf of a exponential distribution, f(x) = λ·e^(-λ·x)
The mean, μ = 1/λ
∴ 1 = 1/λ
λ = 1 hour
∴ For the exponential distribution, f(x) = 1·e^(-x)
(a) The Poisson probability is given as follows;
[tex]P(X = k) = \dfrac{\lambda^k \times e^{-k}}{k!}[/tex]
The probability for more than 3 is given as follows;
[tex]P(X > 3) = 1 - \dfrac{1^0 \times e^{-1}}{0!} - \dfrac{1^1 \times e^{-1}}{1!} - \dfrac{1^2 \times e^{-1}}{2!} - \dfrac{1^3 \times e^{-1}}{3!} \approx 0.018988[/tex]
(b) P(X ≤ 3) for 30 1 hour intervals = P(X ≤ 3)³⁰ = (1 - 0.018988)³⁰ ≈ 0.56264
(c) When the probability that no arrival occurs is 0.1, we have;
0.1 P(X > x) = f(x) = 1·e^(-x) = e^(-x)
-x·ln(e) = ln(0.1)
∴ x = -㏑(0.1) ≈ 2.30259
The length of time such that the probability that no arrival occur during the interval is 0.1, x ≈ 2.30259 hours.
11.68 - 0.48 ÷ (-1.6) =
need help I need a way to solve this problem
Step-by-step explanation:
11.68-0.48
= 11.20
11.20÷1.6
= 7.0 or 7
ahh this is the correct answer.
so if it helps don't forget to like and Mark me.
PLZ HELP DUE TODAY NO LINKS I WILL REPORT!!!
Answer:
452.16 in^2
Step-by-step explanation:
multiply 12 times 12
then multiply that number by Pi(3.14)
write an EQUATION that represents what is seen in the figure and then find the value of x.
OK you look like your going through a tuff time, the cold harden truth is that you have no choice but to live with it. Listen closely life is not all about being with somebody you have to work hard for your goals. God gave you a road to walk down, Not for somebody else to walk down with you therefore YOU walk down that road and that road has alot of choices all the way to a through z.. You choice your choices in life no buddy else. Its all on you. somebody wants to break up with you then let it be THEY walked out the door before the party had started not you. You live your own life and dont let anybody tell you other wise. Have a good day its you choice not anybody elses be wise with you choices tho it will effect your future and ppl around you. (:
Im finna get band after this lol
Answer:
ok
Step-by-step explanation:
PLLZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPP PLZZZZZZZZZZZZZZZZZZZZZ
Answer: your answer is C. there is no common factor between 6 and 15.
Answer:
the answer is D 9w=21
how
21/9 = 2.3333333333
Step-by-step explanation:
All of my points to these "simple" questions
Answer:
x = 66°
∠MON = 57°
x = 13°
Step-by-step explanation:
To tired to explain, just take my word for it...
Answer:
1.
X=66
2.
57
3.
13
Step-by-step explanation:
Good luck .
ok this is my almost last one
The line plot below shows the lengths of bolts Mr. Slivka found in his drawer.
He needs 16 bolts that are longer than 1 inch for a project he is working on.
Does he have enough bolts for his project?
A line plot named
A.
Yes. There are 16 bolts that have lengths greater than 1 inch, which is just enough.
B.
Yes. There are 18 bolts that have lengths greater than 1 inch, which is more than enough.
C.
No. There are only 3 bolts with lengths greater than 1 inch, which is not enough.
D.
No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough.
Answer:
D.)
No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough.
Step-by-step explanation:
Based on information provided by the dot plot above, we can deduce that the number of bta longer Than 1 inch are those with length ; 1 1/8, 1 3/8, 1 4/8
Counting the number of these bolts :
1 1/8 = 5 bolts
1 3/8 = 3 bolts
1 4/8 = 4 bolts
Hence, total number of bolts longer Than 1 inch :
(5 + 3 + 4). = 12 bolts
The number of bolts longer than 1 inch is 16. Therefore, he does not have enough bolt for the project.
Graph the equation y=-x^2-12x-35y=−x 2−12x−35 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
please help and explain I'm very confused and I have no idea what to do.
The graph of y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
To graph the equation y=-x^2-12x-35, we can start by finding the x-intercepts (or roots) and the vertex of the parabola.
To find the x-intercepts, we can set y=0 and solve for x:
0 = -x² - 12x - 35
Using the quadratic formula, we get:
x=-b±√b²-4ac/2a
x=12±√144-140/2(-1)
x=12±√144-140/(-2)
x=12±2/(-2)
The x-intercepts are approximately x=-7 and x=-5
To find the vertex, we can use the formula x=-b/2a to get the x-coordinate, and then substitute it into the equation to get the y-coordinate:
x = -b / 2a = -(-12) / 2(-1) = 6
y = -x² - 12x - 35 = -(6)^2 - 12(6) - 35 = -107
So the vertex is at (6, -107).
Hence, the graph of y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).
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A running track has a straight stretch that measures 200m at the ends there are
semicircles with a radius of 16m. What is the distance of the running track?
Answer:
300.57 m
Step-by-step explanation:
The answer of the question
Answer:
123cm
Step-by-step explanation:
becuse
b) 1325 + 13 long division
Answer:
1325 divided by 13 is 101.92 rounded to the nearest hundredth
Step-by-step explanation:
I'm not sure what the question is asking though.
The perimeter of a rectangular horse pasture is
38 meters. The length is 5 meters more than its
width. What is the width of the pasture?
Answer:
W = 7
Step-by-step explanation:
Theo has x beach toys. He shares them with 6 other friends. Each of them got 4 beach toys. Find x. Show all work
Answer:
24 beach toys
Step-by-step explanation:
We don't know how many beach toys Theo has, but we know that 6 of his friends each got 4 toys. The equation could be set up as x/6 = y, where x is equal to the total amount of toys Theo had, and y is equal to the amount of toys each friend received. We know that y = 4, so now you could say x/6 = 4, and now using opposite operations, 6 × 4 = 24, hence Theo had 24 toys.
Hope this helps!!
Preform the indicated operation. Be sure the answer is reduced.
Answer:
D. [tex]\frac{2x+1}{x-8}[/tex]
Step-by-step explanation:
[tex]\frac{x+1}{x-8} - \frac{x}{8-x} = \\\\\frac{x+1 + x}{x-8} = \\\\\frac{x+1}{x-8} +\frac{x}{x-8} =\\\\\frac{x+1+x}{x-8} =\\\\\frac{2x+1}{x-8}[/tex]
Correct choice is D
Is this a function? Why or why not?
please help!! this is due today!! (number 5)
The vertices of AABC have coordinates A(-2, -1), B (10,-1), C (4,4). State the
area of AABC.
HELP ASAP
Answer:30
Step-by-step explanation:
to classify
ons.
Classify the system of equations.
– x=2-y
1 + y = 3x + 0
Click on the correct answer.
in slope-
intersecting
y-intersects.
2
parallel
coincident
Answer:
The system of linear equations consist of parallel lines
Step-by-step explanation:
Here, we want to classify the system of linear equations
Firstly, let us write both in the standard forms
For the first;
y = 3x + 2
For the second;
y = 3x-1
The general form of a linear equation is;
y = mx + b
where m is the slope and b is the y-intercept
In both cases, m = 3 and that means the slope is the same
When two lines have same slope values, they are said to be parallel to each other
[tex]=59(F−32)[/tex]
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 59
A degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
Think of the equation as an equation for a line y = m x + b where in this case C = 5 9 ( F − 32 ) or C = 5 9 F − 5 9 ( 32 ) You can see the slope of the graph is 5 9 , which means that for an increase of 1 degree Fahrenheit, the increase is 5 9 of 1 degree Celsius. C = 5 9 ( F ) C = 5 9 ( 1 ) = 5 9 Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9 5 degrees Fahrenheit. C = 5 9 ( F ) 1 = 5 9 ( F ) ( F ) = 9 5 Since 9 5 = 1.8, statement II is true. The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5 9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true: C = 5 9 ( F ) C = 5 9 ( 5 9 ) C = 25 81 ( which is ≠ 1 ) An increase of 5 9 degree Fahrenheit leads to an increase of 25 81 , not 1 degree, Celsius, and so Statement III is not true. The final answer is D.
A stepladder has an angle of elevation of 60° with the front of the house. The length of the stepladder is 24 feet. At what height does the stepladder meet the house?
Answer:
20.78 feets
Step-by-step explanation:
Based on the solution diagram attached below :
The height at which the step ladder meets the house can be obtained thus :
Using trigonometry :
Sin θ = opposite / hypotenus
Sin θ = h / 24
Sin 60 = h / 24
0.8660254 = h/24
Height, h = 0.8660254 * 24
Height, h = 20.78 feets
add all these numbers together im too lazy to
Answer:
874
Step-by-step explanation:
702 is correct
quick mathz
Mrs. Ortiz measured the outside temperature at noon as -2°F. Later that
day, she measured the temperature as -5°F. Write an inequality that
correctly compares -2 and -5. Then explain the meaning of the inequality
for the situation. 6.NS.7, 6.NS.7b
Answer:
-2°F>-5°F
Step-by-step explanation:
-2°F is greater than -5°F
This also means the first time Mrs. Ortiz measured the outside tempurature it was hotter than the second time she measured it.
The graph of f(x) = -2^2 was transformed to create g(x) = -(x+3)^2. Which of these describes the transformation from the graph of f to the graph of g
find the measure of the angle
Answer:
95
Step-by-step explanation:
Answer:
95°
Step-by-step explanation:
it is five away from 90° so 95°
Give Brainllest plz
URGENT PLEASE GET THIS QUICKLY PLEASE
If f(x)= 2x+7, find f(2)=
Answer:
21
Step-by-step explanation:
2(2) +7
14+7
21
Answer:
11
Step-by-step explanation:
