Answer:
30m,90m,180m
Step-by-step explanation:
With this question the fastest way is to do trial and error.
if u cut up a 300m string into 3 sections, you know the smallest string has to be less than 100 because 300/3=100.
When you tried 30 you would find,
30×3=90.
90×2=180
180+90+30=300
. The monthly worldwide average number of airplane crashes of commercial airlines is 2.2. What is the probability that there will be a. more than 2 such accidents in the next month?
Answer:
Probability (N more than 2) = 0.3773
Step-by-step explanation:
Given:
Average number of crashes (N) = 2.2
Find:
Probability (N more than 2)
Computation:
Probability (N more than 2) = [1-P(N=0)-P(N=1)-P(N=2)]
Probability (N more than 2) = [1 - e⁻²°² - 2.2e⁻²°² - (2.2²e⁻²°²)/2]
Probability (N more than 2) = 0.3773
Simplify: | 4² - 34| \ 4 × 6² - 12² - 14 a. 4 b. 11/2 c. 1/4 d. 11/8
━━━━━━━☆☆━━━━━━━
▹ Answer
a. 4
▹ Step-by-Step Explanation
|4² - 34| ÷ 4 × 6² - 12² - 14
|16 - 34| ÷ 4 × 6² - 12² - 14
|16 - 34| ÷ 4 × 36 - 144 - 14
|-18| ÷ 4 × 36 - 144 - 14
18 ÷ 4 × 36 - 144 - 14
18/4 × 36 - 144 - 14
9/2 × 36 - 144 - 14
9 × 18 - 144 - 14
162 - 144 - 14
ANSWER = 4
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Please Assist With This Equation
*Please Show Work*
Answer:
240 hours
Step-by-step explanation:
One person hour is a unit indicating the rate at which one person is working on the project .
The company estimates that it will take 2880 person- hours to complete the job
So let's determine how many hours it will take 12 workers to complete same job
The rate = 2880 person/hour
12 persons or workers =( 2880 person/hour)/12 persons
12 persons or workers = 2880/12
12 persons or workers=240 hours
It will take 12 workers 240 person hour to finish the project.
Thank you
Express it in slope-intercept form.
I need help on this one
Find the area of D ABCD if mZA = 650, AB = 14, BC = 12.
Answer:
152.3
Step-by-step explanation:
area of a parralellogram is L×B
since a degree is given
it will make it
sin 65×14×12
sin 65=0.9063
so 0.9063×14×12
=152.3
A math teacher asks Nico and Katya to solve the following word problem. A car travels 98 miles in 1.7 hours on a freeway where the speed limit is 55 mph. Was the car speeding? Nico and Katya both agree that they should use their calculators to divide the miles by the hours to find the speed of the car, and then compare the answer to 55 mph. However, Nico says it's okay to round what his calculator says to the nearest whole number. Katya says that because the calculator displays eight numbers after the decimal point, they shouldn't round. She says they should write down exactly what the calculator shows. Do you agree with Nico or with Katya? In a short paragraph, explain who you agree with and provide the reasons why.
Answer:
- Was the car speeding?
Yes, the car was speeding as its current speed of 57.65 mph was more than the speed limit of that freeway.
- Do you agree with Nico or with Katya?
I agree somewhat with both Nico and Katya, but, I agree more with Nico.
- Explain your reasoning.
Like I said, I agree more with Nico's method of rounding the speed to the nearest whole number. This is because in this question, the standard speed we want to compare the calculated speed with is given as a whole number. Hence, it is more proper to estimate the calculated speed to its nearest whole number too.
Step-by-step explanation:
Speed during a travel is given as distance travelled divided by time taken
Speed = (Distance/time)
Distance = 98 miles
Time = 1.7 hours
Speed = (98/1.7) = 57.6470588235 = 57.65 mph = 58 mph
- Was the car speeding?
The speed limit for the road is 55 mph and the current speed of the car = 57.65 mph
Since 57.65 > 55
The car was overspeeding.
- Nico says it's okay to round what his calculator says to the nearest whole number. Katya says that because the calculator displays eight numbers after the decimal point, they shouldn't round. She says they should write down exactly what the calculator shows. Do you agree with Nico or with Katya?
I agree somewhat with both Nico and Katya as the both methods of recording the speed ate right, depending on what the speed is required for.
Although, I agree more with Nico's method as it seems like a better fit for the situation described in the question.
- explain who you agree with and provide the reasons why.
Like I said earlier, I agree more with Nico's method of rounding the speed to the nearest whole number. This is because in this question, the standard speed we want to compare the calculated speed with is given as a whole number. Hence, it is more proper to estimate the calculated speed to its nearest whole number too.
Katya's method of writing the calculated speed as is will be correct in cases where extreme accuracy is required, not an estimate. For this question, the estimate will do.
Hope this Helps!!!
Answer:
Yes, the car was speeding as its current speed of 57.65 mph was more than the speed limit of that freeway.
Step-by-step explanation:
Nico and Katya i agree with.
At noon, ship A is 120 km west of ship B. Ship A is sailing east at 20 km/h and ship B is sailing north at 15 km/h. How fast is the distance between the ships changing at 4:00 PM?
Answer:
1.39 km/h
Step-by-step explanation:
Let the initial position of ship B represent the origin of our coordinate system. Then the position of ship A as a function of time t is ...
A = -120 +20t . . . (east of the origin)
and the position of B is ...
B = 15t . . . (north of the origin)
Then the distance between them is ...
d = √(A² +B²) = √((-120 +20t)² +(15t)²) = √(625t² -4800t +1440)
And the rate of change is ...
d' = (625t -2400)/√(625t² -4800t +14400)
At t = 4, the rate of change is ...
d' = (625·4 -2400)/√(625·16 -4800·4 +14400) = 100/√5200 = 1.39 . . . km/h
The distance between the ships is increasing at about 1.39 km/h.
If a hexagon is distorted into a curve, what happens to the order of points around the curve?
Answer:
the order of points remains the same
Step-by-step explanation:
Assuming the distortion is isomorphic, the order of points on any line or other continuous curve will remain the same.
HELP HELP PLEASE!!!
A laptop computer is purchased for $2250. After each year, the resale value decreases by 30%. What will the resale value be after 5 years?
Answer:
2260(0.70)^5=3.80
Step-by-step explanation:
Please answer this correctly
Answer:
Question 1
Step-by-step explanation:
1) Let the outside temperature = x ° F
Now, the inside temperature = (x + 3)° F
Outside temperature has increased by 3,
So, outside temperature at lunch time = (x + 3)°F
So, at lunch time the outside & inside temperature are same.
So, the difference in temperature at lunch time is 0
given that f(x) = x² + 6x and g(x) = x + 9 calculate
a) f•g (4) =
B) g•f (4) =
Answer:
247
49
Step-by-step explanation:
a) f•g (4) =
f•g (x) = f(g(x)) = (x + 9)^2 + 6(x + 9)
f•g (4) = (4 + 9)^2 + 6(4 + 9)
= 13^2 + 6(13)
= 247
B) g•f (4) =
g•f (x) = g(f(x)) = x^2 + 6x + 9
g•f (4) = 4^2 + 6(4) + 9
= 16 + 24 + 9
= 49
Find the area of a triangle whose two sides are 12 inches and 14 inches long, and has a perimeter of 34 inches.
Answer:
[tex]\huge\boxed{A=3\sqrt{255}\ in^2\approx47.91\ in^2}[/tex]
Step-by-step explanation:
We have two sides
[tex]a=12in;\ b=14in[/tex]
and the preimeter
[tex]P=34in[/tex]
We can calculate the length of the third side:
[tex]c=P-a-b[/tex]
substitute
[tex]c=34-12-14=8\ (in)[/tex]
Use the Heron's formula:
[tex]A=\sqrt{p(p-a)(p-b)(p-c)[/tex]
where
[tex]p=\dfrac{P}{2}[/tex]
substitute:
[tex]p=\dfrac{34}{2}=17\ (in)\\\\A=\sqrt{17(17-12)(17-14)(17-8)}=\sqrt{(17)(5)(3)(9)}\\\\=\sqrt{9}\cdot\sqrt{(17)(5)(3)}=3\sqrt{255}\ (in^2)\approx47.91\ (in^2)[/tex]
A graph is given to the right. a. Explain why the graph has at least one Euler path. b. Use trial and error or Fleury's Algorithm to find one such path starting at Upper A, with Upper D as the fourth and seventh vertex, and with Upper B as the fifth vertex. A C B D E A graph has 5 vertices labeled A through E and 7 edges. The edges are as follows: Upper A Upper C, Upper A Upper B, Upper A Upper D, Upper C Upper D, Upper C Upper E, Upper B Upper D, Upper D Upper E. a. Choose the correct explanation below. A. It has exactly two odd vertices. Your answer is correct.B. It has exactly two even vertices. C. It has more than two odd vertices. D. All graphs have at least one Euler path. b. Drag the letters representing the vertices given above to form the Euler path.
Answer:
a. It has exactly two odd vertices
b. A C E D B A D C
Step-by-step explanation:
(a) There will not be an Euler path if the number of odd vertices is not 0 or 2. Here, the graph has exactly two odd vertices: A and C.
__
(b) We are required to produce a path of the form {A, _, _, D, B, _, D, _}.
Starting at A, there is only one way to get to node D as the 4th node on the path: via C and E. Node B must follow. From B, there is exactly one way to cover the remaining three edges that have not been traversed so far.
The Euler path meeting the requirements is ...
A C E D B A D C
It is shown by the arrows on the edges in the graph of the attachment.
Select the correct answer from each drop down menu. AB is dilated by a scale factor of 3 to form A 1 B1. Point O, which lies on AB, is the center of dilation. The slope of AB is 3. The slope of A1 B1 is___. A1 B1 _____ through point O.
Answer:
the slope of A'B' = 3
A'B' passes through point O
Step-by-step explanation:
A dilation with scale factor 3 gives the effect of stretching the line AB three times longer. As dilation does not change the direction of the line, the slope will stay the same. If point O lies on AB and is the center of dilation, then the point O must also lie on A'B'
The required black space in the statement "The slope of AB is 3. The slope of A1 B1 is___. A1 B1 _____ through point O". is filled by 3 and passes.
Given that,
To Select the correct answer from each drop-down menu. AB is dilated by a scale factor of 3 to form A 1 B1. Point O, which lies on AB, is the center of dilation. The slope of AB is 3. The slope of A1 B1 is___. A1 B1 _____ through point O.
The scale factor is defined as the ratio of modified change in length to the original length.
Here, is o is the center of the line AB and slope of line AB is 3 than the line dilated with scale factor 3 A1B1 has also a scale factor of 3 because Position of dilation is center 0 thus dilation did not get any orientation.
And the center of dilation is O so line A1B1 passes through O.
Thus, the required black space in the statement "The slope of AB is 3. The slope of A1 B1 is___. A1 B1 _____ through point O". is filled by 3 and passes.
Learn more about line Scale factors here:
https://brainly.com/question/22312172
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If a 1/5 of a gallon of paint is needed to cover 1/4 of a wall, how much paint is needed to cover the entire wall
Answer:
4/5 gallon per wall
Step-by-step explanation:
We can find the unit rate
1/5 gallon
------------------
1/4 wall
1/5 ÷ 1/4
Copy dot flip
1/5 * 4/1
4/5 gallon per wall
Answer:
4/5 gallon of paint
Step-by-step explanation:
1/5 gallon of paint is needed to cover 1/4 of the wall.
To cover the whole wall:
1/4 × 4 = 1 (whole)
1/5 × 4 = 4/5
Brainliest? Get this correct What is the difference of the rational expressions below?
Answer:
A. [tex]\frac{x^2-3x+6}{x^2 - 2x}[/tex]
Step-by-step explanation:
1. Move all of numerators above the corresponding common denominator
2. Multiply inside the parentheses then remove any remaining parenthesis to get your final answer to get your fraction.
Answer:
[tex] \dfrac{x^2 - 3x + 6}{x^2 - 2x} [/tex]
Step-by-step explanation:
[tex] \dfrac{x}{x - 2} - \dfrac{3}{x} = [/tex]
[tex] = \dfrac{(x)x}{(x)(x - 2)} - \dfrac{(x - 2)(3)}{(x - 2)(x)} [/tex]
[tex] = \dfrac{x^2}(x - 2)} - \dfrac{3x - 6}{(x - 2)(x)} [/tex]
[tex] = \dfrac{x^2 - (3x - 6)}{x^2 - 2x} [/tex]
[tex] = \dfrac{x^2 - 3x + 6}{x^2 - 2x} [/tex]
What is the value of a?
Answer:
[tex]\huge\boxed{a=\dfrac{16}{3}=5\dfrac{1}{3}}[/tex]
Step-by-step explanation:
[tex]\triangle ZYW\sim\triangle WYX\ (AAA)\\\\\text{Therefore corresponding sides are in proportion}\\\\\dfrac{YX}{YW}=\dfrac{YW}{ZY}\\\\\text{substitute}\\\\YX=a;\ YW=4;\ ZY=3\\\\\dfrac{a}{4}=\dfrac{4}{3}\qquad\text{multiply both sides by 4}\\\\4\cdot\dfrac{a}{4}=4\cdot\dfrac{4}{3}\qquad\text{cancel 4}\\\\a=\dfrac{16}{3}[/tex]
It was reported that 23% of U.S. adult cellphone owners called a friend for advice about a purchase while in a store. If a sample of 15 U.S adult cellphone owners is selected, what is the probability that 7 called a friend for advice about a purchase while in a store
Answer:
[tex] P(X=7)[/tex]
And using the probability mass function we got:
[tex]P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271[/tex]
Step-by-step explanation:
Let X the random variable of interest, on this case we now that:
[tex]X \sim Binom(n=15, p=0.23)[/tex]
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
And we want to find the following probability:
[tex] P(X=7)[/tex]
And using the probability mass function we got:
[tex]P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271[/tex]
The table shows the number of badges earned, based on the number of boxes of cards sold. What does b(20) = 3 mean in terms of the problem
Answer:
b(20) = 3 means that for 20 boxes of cards sold, 3 badges were earned.
Step-by-step explanation:
The number of badges earned based on the number of boxes of cards sold means that badges earned are a function of the number of boxes of cards sold.
b(20) means the number of badges earned for selling 20 boxes of cards.
b(20) = 3 means that for 20 boxes of cards sold, 3 badges were earned.
Answer:
Someone who sells 20 boxes of cards earn 3 badges.
Step-by-step explanation:
A map's scale is 1 inch : 3.5 miles.
If the distance on the map is
8 inches, then the actual distance
in real life is __miles.
Answer:
28 miles
Step-by-step explanation:
to fin the actual distance you must multiply the didtance on the map by the map scale
3.5*8=28
BEST GETS BRAINLIEST Proof for Pythagoras Theorem (I’ll take multiple different approaches) Please make it logical/satisfying.
Answer:
Proofs for Pythagoras Theorem usually use visual/geometry approaches. I don't post pictures in my answers, so I will present a linear algebra approach. You can see it in the blog posted by Professor Terence Tao.
Note that there are several elegant proofs using animations and drawings, but this is just personal.
I've seen this some time ago, it is really interesting proof.
It states that [tex]a^2+b^2=c^2[/tex] is equivalent to the statement that the matrices
[tex]%\begin{pmatrix}a & b \\ -b & a%\end{pmatrix}%[/tex] [tex]\begin{pmatrix}a& b \\-b & a\\\end{pmatrix}[/tex] and [tex]\begin{pmatrix}c & 0\\0 & c \\\end{pmatrix}[/tex] have the same determinant.
The determinant of the first matrix is [tex]a^2+b^2[/tex]
The determinant of the second matrix is [tex]c^2[/tex]
Once the linear transformations associated with these matrices differ by rotation, we claim that
[tex]a^2+b^2=c^2[/tex]
Mary won £5000 in a competition.
She used the money to pay for herself and 8 friends
to go on a holiday.
Flights cost £279 for each of them.
Accommodation cost £184 for each of them.
How much of the £5000 did she have left after paying for
flights and accommodation for herself and the 8 friends?
Answer:
$833
Step-by-step explanation:
Since there are 9 people, we need to determine the cost of accommodation and flights for all 9 people:
9(273) + 9(184) = 2457 + 1656 = 4167 for 9 people
We then subtract that amount from the amount of money she won:
5000 - 4167 = 833
Solve the algebraic expressio (0.4)(8)−2
Answer: -6.4
Step-by-step explanation:
(0.4)(8)(-2)
3.2*-2
-6.4
if every 500 points is 00.5 how many points will it take to get 5.00?
Answer:
5000
Step-by-step explanation:
500×2=1000
1000=1.00
1000×5=5.00
Answer:
The writer worries about being left out.
Step-by-step explanation:
Which number is a solution of the inequality: B > 2.1
A: -8
B: -12
C:5
D: 1
Answer:
C. 5 is solution of the inequality: B>2.1
volume of a cube size 7cm
Answer:
343 cm3
Step-by-step explanation:
Answer:
side(s) =7cm
volume (v)=l^3
or, v = 7^3
therefore the volume is 343cm^3.
hope its what you are searching for..
We choose a number from the set {1, 2, 3, . . . , 100}, uniformly at random. Let X be the chosen number. For each of the following choices determine if the two events are independent or not. Explain why.
(a) A = {X is even), B = (X is divisible by 5}
(b) C = (X has two digits), D = {X is divisible by 3}
(c) E = {X, is a prime}, F = has a digit 5 prime number
The probabilities are solved and:
(a) A and B are independent.
(b) C and D are not independent.
(c) E and F are independent.
Given data:
To determine if two events are independent or not, determine if the probability of their intersection is equal to the product of their individual probabilities.
(a)
A = {X is even}, B = {X is divisible by 5}
The probability of event A is P(A) = 50/100 = 1/2, as there are 50 even numbers from 1 to 100.
The probability of event B is P(B) = 20/100 = 1/5, as there are 20 numbers divisible by 5 from 1 to 100.
To determine if A and B are independent, compare P(A ∩ B) with P(A) * P(B).
The probability of the intersection A ∩ B is the probability of choosing a number that is both even and divisible by 5. From 1 to 100, there are 10 such numbers: 10, 20, 30, ..., 90. Therefore, P(A ∩ B) = 10/100 = 1/10.
P(A) * P(B) = (1/2) * (1/5) = 1/10.
Since P(A ∩ B) = P(A) * P(B), A and B are independent events.
(b)
C = {X has two digits}, D = {X is divisible by 3}
The probability of event C is P(C) = 90/100 = 9/10, as there are 90 two-digit numbers from 1 to 100.
The probability of event D is P(D) = 33/100, as there are 33 numbers divisible by 3 from 1 to 100.
To determine if C and D are independent, compare P(C ∩ D) with P(C) * P(D).
The probability of the intersection C ∩ D is the probability of choosing a number that is both two digits and divisible by 3. From 1 to 100, there are 30 such numbers: 12, 15, 18, ..., 99. Therefore, P(C ∩ D) = 30/100 = 3/10.
P(C) * P(D) = (9/10) * (33/100) = 297/1000.
Since P(C ∩ D) ≠ P(C) * P(D), C and D are not independent events.
(c)
E = {X is a prime}, F = {X has a digit 5 prime number}
The probability of event E is P(E) = π(x)/100 = π(100)/100 = 25/100 = 1/4, as there are 25 primes from 1 to 100.
The probability of event F is P(F) = 4/100 = 1/25, as there are 4 prime numbers (5, 25, 55, and 75) that have the digit 5.
To determine if E and F are independent, compare P(E ∩ F) with P(E) * P(F).
The probability of the intersection E ∩ F is the probability of choosing a prime number that has the digit 5. From 1 to 100, there is only one such number: 5. Therefore, P(E ∩ F) = 1/100.
P(E) * P(F) = (1/4) * (1/25) = 1/100.
Since P(E ∩ F) = P(E) * P(F), E and F are independent events.
To learn more about probability, refer:
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Need help with trig question
Answer:
0 +256i
Step-by-step explanation:
According to Euler's formula, ...
(4 cis π/8)^4 = (4^4) cis (4×π/8) = 256 cis π/2 = 0 +256i
_____
"cis" is an abbreviation sometimes used for "cosine + i×sine". It simplifies writing the expression. Engineers sometimes simplify it further, writing 4∠(π/8) for the expression in this problem statement.
could you please answer quickly?????!! thank you!
Answer:
31,5
Step-by-step explanation:
=7*3+(7*3)/2
Answer:
length x width = area
7 x 3 = 21 so the area of the rectangle is 21
divide 7 by 2 so we can find the length of each triangle. 7 / 2 = 3.5
length (or base) x height / 2 = area of triangle
3.5 x 3 = 10.5
You do not have to divide by two because there are two triangles
10.5 + 21 = 31.5 so the area is 31.5
Hope this helps
Step-by-step explanation:
The completion times for a job task range from 11.1 minutes to 19.2 minutes and are thought to be uniformly distributed. What is the probability that it will require between 14.8 and 16.5 minutes to perform the task?
Answer:
[tex] P(14.8< X<16.5)= \frac{16.5-11.1}{19.2-11.1} -\frac{14.8-11.1}{19.2-11.1}= 0.667-0.457= 0.210[/tex]
The probability that it will require between 14.8 and 16.5 minutes to perform the task is 0.210
Step-by-step explanation:
Let X the random variable "completion times for a job task" , and we know that the distribution for X is given by:
[tex] X \sim Unif (a= 11.1, b= 19.2)[/tex]
And for this case we wantto find the following probability:
[tex] P(14.8< X<16.5)[/tex]
And for this case we can use the cumulative distribution given by:
[tex] F(x) =\frac{x-a}{b-a} , a\leq X \leq b[/tex]
And using this formula we got:
[tex] P(14.8< X<16.5)= \frac{16.5-11.1}{19.2-11.1} -\frac{14.8-11.1}{19.2-11.1}= 0.667-0.457= 0.210[/tex]
The probability that it will require between 14.8 and 16.5 minutes to perform the task is 0.210