Answer:
18057
Step-by-step explanation:
uh just 200 x 10 = 200 add that to the 6 to make 18057$ which is the price of the second van.
5/6 x 3/20 as a fraction
Answer:
1/8
Step-by-step explanation:
(5/6) × (3/20)
= (5*3) / (6*20)
= 15/120
= 3/24
= 1/8
A contractor is required by a county planning department to submit 1, 2, 3, 4, or 5 forms (depending on the nature of the project) when applying for a building permit. Let y denote the number of forms required for an application, and suppose the mass function is given by p(y) 5 cy for y 5 1, 2, 3, 4, or 5. Determine the value of c, as well as the long-run proportion of applications that require at most three forms and the long-run proportion that require between two and four forms, inclusive.
Answer:
[tex](a)\ c = \frac{1}{15}[/tex]
[tex](b)\ 40\%[/tex]
[tex](c)\ 60\%[/tex]
Step-by-step explanation:
The given parameters can be represented as:
[tex]P_Y(y) \ge 0, y =1,2,3,4,5[/tex]
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
Solving (a): The value of c
To do this, we make use of the following rule;
[tex]\sum\limit^5_{y=1}P_Y(y_i) = 1[/tex]
Given that:
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
This is translated to:
[tex]c*1 + c * 2 + c * 3 + c * 4 + c * 5 = 1[/tex]
[tex]c + 2c + 3c + 4c + 5c = 1[/tex]
[tex]15c = 1[/tex]
Solve for c
[tex]c = \frac{1}{15}[/tex]
(b) The proportions of applications that requires at most 3 forms
This implies that: y = 1,2,3
So, we make use of:
[tex]P(Y \le 3) = P(Y=1) + P(y=2) + P(Y=3)[/tex]
Recall that:
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
Substitute [tex]c = \frac{1}{15}[/tex]
[tex]P_y(y) =\frac{1}{15}y[/tex]
So:
[tex]P(Y \le 3) = P(Y=1) + P(y=2) + P(Y=3)[/tex]
[tex]P(Y\le 3) = \frac{1}{15} * 1 +\frac{1}{15} * 2 +\frac{1}{15} * 3[/tex]
[tex]P(Y\le 3) = \frac{1}{15} +\frac{2}{15} +\frac{3}{15}[/tex]
Take LCM
[tex]P(Y\le 3) = \frac{1+2+3}{15}[/tex]
[tex]P(Y\le 3) = \frac{6}{15}[/tex]
[tex]P(Y\le 3) = 0.4[/tex]
Express as percentage
[tex]P(Y\le 3) = 0.4*100\%[/tex]
[tex]P(Y\le 3) = 40\%[/tex]
(c) The proportions of applications that requires between 2 and 4 forms (inclusive)
This implies that: y = 2,3,4
So, we make use of:
[tex]P(2 \le Y \le 4) = P(Y=2) + P(Y=3) + P(Y=4)[/tex]
[tex]P(2 \le Y \le 4) = 2 * \frac{1}{15} + 3 * \frac{1}{15} + 4 * \frac{1}{15}[/tex]
[tex]P(2 \le Y \le 4) = \frac{2}{15} + \frac{3}{15} + \frac{4}{15}[/tex]
Take LCM
[tex]P(2 \le Y \le 4) = \frac{2+3+4}{15}[/tex]
[tex]P(2 \le Y \le 4) = \frac{9}{15}[/tex]
[tex]P(2 \le Y \le 4) = 0.6[/tex]
Express as percentage
[tex]P(2 \le Y \le 4) = 0.6 * 100\%[/tex]
[tex]P(2 \le Y \le 4) = 60\%[/tex]
A quality control expert wants to estimate the proportion of defective components that are being manufactured by his company. A sample of 300 components showed that 20 were defective. How large a sample is needed to estimate the true proportion of defective components to within 2.5 percentage points with 99% confidence?
A sample size of approximately 9909 components is needed to estimate the true proportion of defective components within 2.5 percentage points with 99% confidence.
To estimate the true proportion of defective components with a desired level of confidence and precision, we can use the formula for sample size determination in a proportion estimation problem.
The formula is given by:
n = (Z² p (1-p)) / E²
Where:
- n is the required sample size,
- Z is the Z-value corresponding to the desired confidence level (in this case, 99% confidence),
- p is the estimated proportion of defective components from the initial sample (20/300 = 0.0667),
- (1-p) is the estimated proportion of non-defective components,
- E is the desired margin of error (2.5 percentage points = 0.025).
Determine the Z-value corresponding to a 99% confidence level. The Z-value can be obtained from a standard normal distribution table or using statistical software. For a 99% confidence level, the Z-value is approximately 2.576.
Substitute the values into the formula:
n = (2.576² * 0.0667 * (1-0.0667)) / (0.025²)
n = (6.641 * 0.9333) / 0.000625
n = 6.194 / 0.000625
n ≈ 9908.8
Therefore, a sample size of approximately 9909 components is needed to estimate the true proportion of defective components within 2.5 percentage points with 99% confidence.
More can be learned about proportions at;
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PLEASE HELP!!!!
use Euler's formula to find the missing number
faces: 25
verticies: 17
edges: ?
answer choice-
a. 43
b. 41
c. 39
d. 40
Answer:
d. 40
Step-by-step explanation:
The number of faces, edges and vertices is related by the following formula:
[tex]V - E + F = 2[/tex]
In which V is the number of vertices, E is the number of edges and F is the number of faces.
In this question:
[tex]F = 25, V = 17[/tex]
We want to find E. So
[tex]V - E + F = 2[/tex]
[tex]17 - E + 25 = 2[/tex]
[tex]E = 42 - 2 = 40[/tex]
The correct answer is given by option D.
Write - x2 = 15 in standard form.
An equation in standard form is
Answer:
An equation in standard form is -x^2-15=0.
Step-by-step explanation:
-x^2=15
-x^2-15=0
ax^2+bx+c=0
-x^2-15=0
A train leaves Miami at 4:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels 124mph faster than the first. If the second train overtakes the first at 10:00 PM, what is the speed of each of the two trains?
Answer:
Step-by-step explanation:
The late but fast train traveled for 2 hours while the slow but early train traveled for 6 hours.
SPEED TIME DISTANCE
SLOW EARLY r 6 d
FAST LATE r+124 2 d
Catchup means each train traveled equal distance
help i need answers quickly about this
Answer:
938 millibars
Step-by-step explanation:
please mark me as brainlist..
PLEASE HELP NOW!!!
fill in "always", "sometimes", or "never" to make a correct statement.
if you add a multiple of 4 and a multiple of 7, the sum is ____ a multiple of 7
9514 1404 393
Answer:
sometimes
Step-by-step explanation:
4 + 7 = 11 . . . not a multiple of 7
28 + 7 = 35 . . . a multiple of 7
If you add a multiple of 4 and a multiple of 7, the sum is sometimes a multiple of 7.
__
It will be a multiple of 7 when the multiple of 4 used is a multiple of 7, such as 4×7 or 4×14 or 4×21, for example.
what is the standard deviation
Answer:
The Standard Deviation is a measure of how spread out numbers are.
Its symbol is σ (the greek letter sigma)
The formula is easy: it is the square root of the Variance. So now you ask, "What is the Variance?"
Variance
The Variance is defined as:
The average of the squared differences from the Mean.
To calculate the variance follow these steps:
Work out the Mean (the simple average of the numbers)
Then for each number: subtract the Mean and square the result (the squared difference).
Then work out the average of those squared differences. (Why Square?)
Step-by-step explanation:
The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.) (b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.08
Answer:
a) 0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.
b) Capacity of 252.6 cubic feet per second
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second).
This means that [tex]m = 100, \mu = \frac{1}{100} = 0.01[/tex]
(a) Find the probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)
We have that:
[tex]P(X > x) = e^{-\mu x}[/tex]
This is P(X > 190). So
[tex]P(X > 190) = e^{-0.01*190} = 0.1496[/tex]
0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.
(b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.08?
This is x for which:
[tex]P(X > x) = 0.08[/tex]
So
[tex]e^{-0.01x} = 0.08[/tex]
[tex]\ln{e^{-0.01x}} = \ln{0.08}[/tex]
[tex]-0.01x = \ln{0.08}[/tex]
[tex]x = -\frac{\ln{0.08}}{0.01}[/tex]
[tex]x = 252.6[/tex]
Capacity of 252.6 cubic feet per second
What is the area of the triangle below?
4
18
A. 72 sq. units
B. 16 sq. units
C. 36 sq. units
D. 32 sq. units
Answer:
it is a
Step-by-step explanation:
its 72 sq. units igdoug
The area of the triangle is 36 square units, option C is correct.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We have to find the area of triangle whose base is 4 units and height is 18 units
Area of triangle = 1/2 base ×height
Plug in the values of base and height in the above formula
=1/2×4×18
Divide numerator and denominator by 2
=36 square units
Hence, the area of the triangle is 36 square units, option C is correct.
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Montrell saves 8% of each paycheck for his college fund. This week he saved $18.80 from his paycheck, how much was he paid?
Find the midpoint of the line segment with end coordinates of:
(-2,-4) and (-1,-5)
Give coordinates as decimals where appropriate.
Answer:
The midpoint of this line segment is (-1.5, -4.5).
Step-by-step explanation:
In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:
-2 -1
x-coordinate of midpoint = --------- = -3/2 = -1.5
2
-4 -5
y-coordinate of midpoint = ---------- = -4.5
2
The midpoint of this line segment is (-1.5, -4.5).
Helppppp
The sides of a triangle measure 7, 4, and 9. If the longest side of a similar triangle measures 36, determine and state the length of the shortest side of this triangle.
The aspect ratio (the ratio of screen width to height) of a rectangular flat-screen television is 16 : 9. The length of the diagonal of the screen is the television's screen size. Determine and state, the width of the flat-screen television if the height is 20.6 inches. Round your answer to the nearest hundredth.
Answer:
1. 16
2. 36.62 in
Step-by-step explanation:
For the first one:
If you don't want to read the explanation go to the next section in bold
We are told that the triangles are similar.
We are told that the side lengths of the smaller triangle measure 7,4 and 9
And we are told that the longest side of the similar triangle measures 36
Given this information we need to find the other side lengths.
Because the triangles are similar each side length will share similar ratios. Note that the ratios must be between the two longest side, the two medium length sides and the two shorter sides
Because we are given the longest side length of the similar triangle and the longest side length of the smaller triangle we can set up a proportion to find the other side lengths.
The proportion can be found by dividing the longest side length of the larger triangle (36) by the longest side length of the smaller triangle (9)
proportion = [tex]\frac{36}{9} or4[/tex]
So the ratio to the side lengths of the triangle is 4 to 1
Now that we have created a proportion we can find the other side lengths.
Once again this information is not needed. If you don't want to read it go to the next section in bold.
For the medium length side: [tex]\frac{4}{1} =\frac{x}{7}[/tex] ( remember x = missing side length)
multiply each side by 7
4 * 7 = 28
x/7 * 7 = x
x = 28
For the shorter side: [tex]\frac{4}{1} =\frac{x}{4}[/tex] ( once again x = missing side length )
multiply each side by 4
4 * 4 = 16
x/4 * 4 = x
x = 16
So we can conclude that the side length of the shortest side is 16
For the second one
This problem is like the other one.
The only difference is we are already given the ratio
( note that the ratio is width to height )
16 : 9
Given the proportion and the height (20.6) of the other flat screen tv we need to find the width
To do so we set up an equation using the ratio:
let x = width
[tex]\frac{16}{9} =\frac{x}{20.6}[/tex]
using cross multiplication
16 * 20.6 = 329.6
9 * x = 9x now we have 9x = 329.6
step 2 divide each side by 9
9x / 9 = x
329.6/9 = 36.62
we're left with x = 36.62
Meaning that the width of the other flat screen tv is 36.62 in
Find the area of the trapezoids
Answer:
I need help in math too so
Answer:
120 units²
Step-by-step explanation:
A= [tex]\frac{a+b}{2}[/tex]×h
A= [tex]\frac{15+15}{2}[/tex]×8
A= [tex]\frac{30}{2}[/tex]×8
A= 15×8
A= 120
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answer:
v = 196.25
Step-by-step explanation:
v = 3.14*r^2*h
v = 3.14*5^2*2.5
v = 196.25
Area of a semicircle is 308cm. Find the perimeter
Answer:
72 cm
Step-by-step explanation:
Find the radius using the given information
308=1/2(πr^2)
r^2=616/π
r=14
The perimeter is πr + 2r so plug in 14
π(14) + 2(14)
43.96+28=71.96
How much space will the tissue box take up on
my desk if the base dimensions are 3.5 inches
and 8 inches?
square inches
Hint: Find the area of the base of the tissue box.
Answer:
3.5 x 8 = 28 in²
Yesterday 27 out of 36 students received an A on the test. What percent of
students received an A?
Mind showing how u solved it?
Answer:
75%
Step-by-step explanation:
[tex] \frac{27}{36} \times 100\%[/tex]
El producto de un número y 56
Answer:
x+56
Step-by-step explanation:
The product of two numbers is the result you get when you multiply them together. And refers to addition.
The sum of two numbers is 48 and the difference is 22 what are the numbers
Answer:
35 and 13
Step-by-step explanation:
Sum: 35 + 13 = 48
Difference: 35 - 13 = 22
Help pls I need it someone
Answer:
search up demos graphing calculator and plug in the numbers there.
Step-by-step explanation:
its super easy to use try it :)
The function p(x) = 8x – 10 shows the profit, in dollars, for selling x books.
Answer:
Every book is 8 dollars but you have to subtract 10, so like this:
Step-by-step explanation:
p(x) = 8x - 10 Lets say you sell 2 books
p(2) = 8(2) - 10
p(2) = 16 - 10
p(2) = 6 You would make 6 dollars.
IT IS TIMED!!!!!
please help!!!!!!!
Answer:
b
Step-by-step explanation:
You deposited $10.00 in your bank at 8% for a period of 6 years. What will be your total amount at the bank according to: a) simple interest, b) compound interest?
Answer:
Simple=$14.80 Compound=$16.14
Step-by-step explanation:
Simple=A=P(1+rt)
10.00(1+0.08×6)
Compound-A=P(1+r/n)^nt
10.00(1+0.08/6)^12*6
find the values of x and y
Hi there!
[tex]\large\boxed{y = 12, x = 3}[/tex]
The two trapezoids are similar, so we can determine a common scale factor:
OL/UR = NM/TS
9/3 = 6/2
3 = 3
Trapezoid ONML is 3x larger than UTSR, so:
RS = 4, LM = y
3RS = LM
3 · 4 = y = 12.
Find x using the same method:
3UT = ON
3(2x+1) = 4x + 9
6x + 3 = 4x + 9
2x = 6
x = 3.
HELO PLEASE ILL DO ANYTHING ITS DUE
Answer:
send money and i gotchu
Step-by-step explanation:
1. Student ID number at a certain University are made up of a letter, followed by six 1-digit
numbers, and then another letter (example: L132389M). How many student ID numbers are
possible if the letters cannot be repeated? [4 points]
Answer:
650,000,000 student ID numbers are possible if the letters cannot be repeated.
Step-by-step explanation:
The order in which the digits or letters are placed is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
2 letters from a set of 26(permutations, as letters cannot be repeated).
6 digits, each with 10 possible outcomes.
How many student ID numbers are possible if the letters cannot be repeated?
[tex]T = 10^6 \times \frac{26!}{24!} = 650000000[/tex]
650,000,000 student ID numbers are possible if the letters cannot be repeated.
Evaluate 4x3 + 4x when x = 3.
Answer:
24
Step-by-step explanation:
12 + 4(3)
24
Answer:
[tex]4 \times {3}^{3} + 4 \times 3 \\ 108 + 12 \\ = 120[/tex]
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = 8/17, find sin 0.
sin 0 =
[?]
Simplify the fraction.
Answer:
Step-by-step explanation:
cos θ=8/17
sin θ=√(1-cos²θ)=√(1-(8/17)²)=√(1-64/289)=√((289-64)/289)=√(225/289)=15/17
