Answer:
0.4866 = 48.66% probability that the engine will fail before it is inspected
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]
Exponentially distributed with mean 900 hours.
This means that [tex]m = 900, \mu = \frac{1}{900}[/tex]
If the engine is inspected every 600 hours of flight time, what is the probability that the engine will fail before it is inspected?
This is [tex]P(X \leq 600)[/tex], which is:
[tex]P(X \leq 600) = 1 - e^{-\frac{600}{900}} = 0.4866[/tex]
0.4866 = 48.66% probability that the engine will fail before it is inspected
help please triangles and trigonometry
Answer: x=11.9
Step-by-step explanation:
Here, we need to know the concept of trigonometry
Sine (sin)-- Opposite/Hypotenuse ⇒ O/HCosine (cos)-- Adjacent/Hypotenuse ⇒ A/HTangent (tan)-- Opposite/Adjacent ⇒ O/H---------------------------------------------------------------------------------
Given
θ = 32°
Hypotenuse = 14
x = adjacent side (relative to θ)
Solve
cos ( 32 ) = x / 14
x = 14 cos ( 32 )
x≈11.9
Hope this helps!! :)
Please let me know if you have any questions
Answer:
x = 11.9
Step-by-step explanation:
x / 32 / 14
x = 11.9
Hope this helps
Which two ordered pairs represent point a and point b on the graph ?
A 2,3 and B 7,8
A 7,8 and B 8,7
A 3,2 and B 8,7
A 8,7 and B 3,2
Pls help me
Answer:
2, 3 and 7,8
Step-by-step explanation:
Find perimeter pt4 brainliest
a theater has 49 seats in the first row, 52 seats in the second row, 55 seats in the third row, and so on. how many seats are there in row 20
Answer:
106
Step-by-step explanation:
this question represents an arithmetic sequence problem where you can use this formula: a(n) = a(1) + d(n-1) where 'n' is value you're solving for, a(1) is the initial value, and 'd' is the common difference
a(20) = 49 + 3(20-1)
= 49 + 3(19)
= 49 + 57
= 106
Given lines l, m and n are all parallel and cut by two transversal lines, find the value
of x.
Step-by-step explanation:
u should attach the picture of the question because its difficult to identify where x is located
kindly attach the picture
A square postage stamp has area 1,130 mm². About how long is each side?
Answer:
33.61 mm (the square root of 1130)
Step-by-step explanation:
please answer
Step by step
Answer:
B) 20°
Step-by-step explanation:
The top half of the circle is equal to 180°...
13x + 3x + 2x = 180°
18x = 180°
x = 10°
Angle EOD is the opposite angle of 2x
2 (10) = 20°
Someone answer this Please
Answer:
15 miles
Step-by-step explanation:
The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.
Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.
[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]
Take the square root of both sides
[tex]15=c[/tex]
Therefore, the length of the hypotenuse is 15 miles.
I hope this helps!
In an effort to test the hypothesis that the proportion of voters in the younger than 40 year old age bracket who will vote for a particular politician is different than the proportion voters in the above 40 age bracket, the following data was collected. Test hypothesis at 0.10 level of significance.
Population Number Who Will Vote for Politician Sample Size
Below 40 348 700
Above 40 290 650
Required:
a. Reject the Null Hypothesis and condlude that the proportion of voters in the younger than 40 year oid age bracket who will vote for a particular different than the proportion voters in the above 40 age bracket.
b. Do not reject the Null Hypothesis and conclude that the proportion of wotors in the younger than 40 year old age bracket who will vote for a particular politician is not different than the proportion voters in the above 40 age bracket.
Answer:
We reject H₀ we support the claim that the two proportion are different
Step-by-step explanation:
Younger than 40 years old
Sample size n₁ = 700
x₁ = 348
p₁ = 348 / 700 p₁ = 0,497 p₁ = 49,7 %
Above 40 years old
Sample size n₂ = 650
x₂ = 290
p₂ = 290/ 700 p₂ = 0,414 p₂ = 41,4 %
p = ( n₁*p₁ + n₂*p₂ ) / n₁ + n₂
p = 700 * 0,497 + 650 * 0,414 ) / 700 + 650
p = ( 347.9 + 269,1 ) / 1350
p = 0,457 p = 45,7 %
q = 1 - p q = 54,3 % q = 0,543
CI is 90 % significance level is 10 % α = 10 % α = 0,1 α/2 = 0,05
zscore for α/2 from z- table is : z(c) = 1,64
Test Hypothesis
Null Hypothesis H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ ≠ p₂
To calculate z(s) = ( p₁ - p₂ ) / √ pq/n₁ + pq/ n₂
p₁ - p₂ = 0,497 - 0,414 = 0,083
√ pq/n₁ + pq/ n₂ = √ 0,457*0,543/ 700 + 0,457*0,543/ 650
√ pq/n₁ + pq/ n₂ = √ 3,545*10⁻⁴ + 3,82 * 10⁻⁴
√ pq/n₁ + pq/ n₂ = 2,71 * 10⁻² = 0,0271
z(s) = 0,083/ 0,0271
z(s) = 3,06
Comparing z(s) and z(c)
|z(s)| > |z(c)|
Then z(s) is in the rejection region and we reject H₀
I need big help!!, 20 points
Answer:
2 and 4 :)
Step-by-step explanation:
lower quartile of 5, 8, 6, 11, 5, 4, 7, 3, 5, 9, 6, 8
Answer: 5
Step-by-step explanation:
First order from least to gratest: 3, 4, 5, 5, 5, 6, 6, 7, 8, 8, 9, 11
Then find median (center): 6
Next find the lower quartile also known as the first quartile: 5
Your answer is 5
If you need additional help you can go to khan academy it is a great site with math for pre-k -SAT. Using khan academy I have become an A student.
I hope this helps and may God bless you. Have a nice day, bye!
please someone help me with this ASAP especially with the workout!!
Answer:
78°
Step-by-step explanation:
From the diagram,
Applying sine rule,
SinA/a = sinC/c................... Equation 1
Given: c = 29 cm, C = 50°, a = 37 cm
Substitute into equation 1 and solve for A.
sinA/37 = sin50°/29
sinA = (37×sin50°)/29
sinA = (37×0.766)/29
sinA = 28.34/29
sinA = 0.9774
A = sin⁻¹(0.9774)
A = 77.8°
A ≈ 78°
Hence the measure of angle A = 78°
What is the area of the triangle. Side a=24cm b=30cm h=18cm
Answer:
a=270cm^2
Step-by-step explanation:
a= HbB/2
18×30/2
270cm^2
Answer:
Area =(H×B)÷2
=(18x30)÷2
=54O ÷2
=27O
What would been the volume?
Answer:
Multiply 43x15x5
Step-by-step explanation:
length x whight x hight
If anyone can help me I’d be glad. I’m not the best at geometry :/
Answer:
C) 1.25
Step-by-step explanation:
The hypotenuse is the sloping side.
The base is the bottom side.
The triangles are similar, so you can use the sides of either triangle. Let's use the side lengths of the smaller triangle.
Length of hypotenuse: 5
Length of base: 4
Ratio of hypotenuse to base: 5/4
To find a decimal value, divide 5 by 4. Use a calculator or long division.
5/4 = 1.25
Answer: C) 1.25
Select the correct answer.
Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function. Let
trepresent the time, in seconds, since the friends started seesawing.
t
0
1
2.
3
4
5
6
ht)
24
48
24
0
24
48
24
If the friends start seesawing with the plank in a level position, how long does it take for the friend in the left seat to move upward, downward,
and then back to the initial position?
Answer:
Correct Answer 4 Secs
Step-by-step explanation:
#Platolivesmatter
Hope this helped :)
The time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
What is a function?A relation is a function if it has only One y-value for each x-value.
Two friends are sitting on a seesaw at the park.
The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function.
Let t represent the time, in seconds, since the friends started seesawing.
t 0 1 2 3 4 5 6
h(t) 24 48 24 0 24 48 24
The friends start see sawing with the plank in a level position.
The initial position at 0 of them is at 24.
The group has to come back to this position after moving upward and downward.
The time it takes to reach upward is,
f(48)=1
The time it takes to reach downward after going upward is,
f(0)=3
Coming back to initial potion,
f(24)=4
Hence, the time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ7
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answer:
I think angle 7 could also measure 117, and I think the angle relationship is alternate exterior angles.
Step-by-step explanation:
If my answers are wrong, I am incredibly sorry!
help there a man walkibg around in my hosue and it late and everyone sleep help!!
Answer: throw something at it maybe
Step-by-step explanation:
Kami scores 45 points and 3 basketball games .
How many points does he score per game?
For the plane curve defined by x = 7 cos t, y = 5 cos t, for t in [0, 2π] the ordered pair that corresponds to t = π/6 is ___
Answer:
The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]
Step-by-step explanation:
We are given the following plane curve:
[tex]x = 7 \cos{t}[/tex]
[tex]y = 5 \cos{t}[/tex]
Ordered pair for a value of t:
We find (x,y) for these values of t. So, when [tex]t = \frac{\pi}{6}[/tex]
[tex]x = 7 \cos{\frac{\pi}{6}} = 7\frac{\sqrt{3}}{2} = \frac{7\sqrt{3}}{2}[/tex]
[tex]y = 5 \cos{\frac{\pi}{6}} = 5\frac{\sqrt{3}}{2} = \frac{5\sqrt{3}}{2}[/tex]
The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]
what does W equal?
w ÷ 9 = 9
Answer:
81
Step-by-step explanation:
w/9=9
w=9*9
w=81
Answer:
w = 81
Step-by-step explanation:
To get w, you have to do inverse operations. Because w is being divided, we need to multiply to isolate w because multiplication is the opposite of division.
w/9 = 9
(9) (w/9) = (9) (9)
w = 81
answer choices:
a: 0%
b: 25%
c: 50%
d: 75%
e: 100%
Answer:
0
Step-by-step explanation:
Answer:
no account has been made so 0% is a required percentage
B.Exercise 1: Directions: Write TRUE if the given answer is correct and False if it is not, give the answer. ______1. Mary bought a magazine for Php 135.00, and 2 bottles of nail polish. Give an expression to represent the total amount she spent. Given answer: 2xp+135 or 2p + 135
Answer:
Verdader
o
Step-by-step explanation:
Please help me (Just to inform you I took this once and D is not the correct answer) I’ll give brainalist + points
Answer:c
Step-by-step explanation:
↓↓ASAP PLAS HELP WILL GIVE BRAINLYEST WILL GIVE BRAINLYEST↓↓
if the Diameter of a can 6 inches an the Height of the can is 4 inches Volume of Can , Surface Area of Can ,and Ratio of Surface Area to Volume
we know that
diameter of the base of a cylindrical can= 4 in----------> r=2 in
h=6.5 in
[surface area]=2*[pi*r²]+[2*pi*r*h]
then
[surface area]=2*[pi*2²]+[2*pi*2*6.5]=[ 25.13 ]+[ 81.68 ]=106.81 in²
the answer is 106.8 in²
PLEASE HELP !! ILL GIVE BRAINLIEST !!
help please ............
find the measure of 2 and 4 if 1=122° and 3 = 58°
Answer:
Due to lack of details, I can come up with several possible answers
if 2 is opposite from ∠3, then ∠2 = 58°
if 2 is opposite from ∠1, then ∠2 = 122°
if 4 is opposite from ∠3, then ∠4 = 58°
if 4 is opposite from ∠1, then ∠4 = 122°
What does it mean to do something 4.5 times?
Answer:
This is a standard notation used by many computer programs including Excel. Entering a value in this form is not the same as entering the logarithm of a number. This is simply a shortcut way to enter very large values, or tiny fractions, without using logarithms.
Step-by-step explanation:
Need help thank you
Answer:
number B (4×4)+(3×3×3)= 43
Answer:
B. 4² + 3³
Step-by-step explanation:
I'll do each of these expression to see which one equals 43.
2⁴ + 3²
16 + 9
25 ≠ 43; So A is out.
5² + 5³
25 + 125
150 ≠ 43; so C is out.
3² + 2³
9 + 8
17 ≠ 43; so D is out.
4² + 3³
16 + 27
43 = 43, so B is the answer to this question.