Answers
Related Questions
A system consists of two independent components in parallel. The system works if at least one of the components works. If each component works with probability 0.65, what is the probability that the system works
Answers
Answer:
The probability that the system works is 87.75%.
Step-by-step explanation:
Given that a system consists of two independent components in parallel, and the system works if at least one of the components works, if each component works with probability 0.65, to determine what is the probability that the system works the following calculation must be performed:
1 - 0.65 = 0.35
0.35 x 0.35 = X
0.1225 = X
1 - 0.1225 = 0.8775
Therefore, the probability that the system works is 87.75%.
24. Identify the center and radius of the circle given the equation (x +15)2 + (7 - 9)2 = 25 .
a. Center: (-15, 9), Radius: 5
b. Center: (15, -9), Radius: 25
c. Center: (-15, -9) Radius: 5
d. Center: (15,9) Radius: 25
Answers
Answer:
a. Center: (-15, 9), Radius: 5
Step-by-step explanation:
Equation of a circle:
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this question, we have that:
[tex](x + 15)^2 + (y - 9)^2 = 25[/tex]
Comparing both equations:
[tex]x - x_0 = x + 15[/tex]
[tex]x_0 = -15[/tex]
And
[tex]y - y_0 = y - 9[/tex]
[tex]y_0 = 9[/tex]
The center is [tex](-15,9)[/tex].
For the radius:
[tex]r^2 = 25[/tex]
[tex]r = \sqrt{25} = 5[/tex]
The correct answer is given by option a.
The measures of the interior angles of a pentagon are 2x + 15, 3x, 3x + 5, 4x + 10, and 5x. What is the measure of the largest angle for this pentagon?
130
140
160
150
Answers
Answer:
i think 140
Step-by-step explanation:
even tho this one old
A pentagon's largest internal angle is 150 degrees.
What is a pentagons?The geometric shape known as a pentagon has five sides and five angles. Penta here means five, and gon means angle. One of the different kinds of polygons is the pentagon. A regular pentagon's internal angles add up to 540 degrees.
Given, The measures of the interior angles of a pentagon are 2x + 15, 3x, 3x + 5, 4x + 10, and 5x. Since the sum of all the interior angles of the pentagon is 540 degrees. Hence
2x + 15 + 3x + 3x + 5 + 4x + 10 + 5x = 540
17x + 30 = 540
17x = 510
x = 30
All five angles of the pentagon are 75, 90, 95, 130, and 150.
Therefore, the biggest interior angle of a pentagon is 150 degrees.
Learn more about the pentagons here:
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Can anyone here help me out?
Answers
Answer:
A)15x+30=weekly income
B)8 hours
Step-by-step explanation:
15x+30= weekly income
The 15 multiplies because it says per hour
The 30 is constant because she only earns it once (per week)
15x+30=150
minus 30 from both sides
15x=120
divide by 15
x=8
if u(x)=-2x^2+3 and v(x)=1/x, what is the range of (uxv)(x)
Answers
Answer:
u(x)=−2x2+3.
Step-by-step explanation:
v(x )=1x whichever notation you prefer: (u∘v)(x)=u(v(x)).
Answer:
u(x)=−2x2+3.
Step-by-step explanation:
Please helppp!!!!!!!!!
Answers
9514 1404 393
Answer:
$705.78
Step-by-step explanation:
Put the given numbers in the formula and do the arithmetic.
P = $300, r = 0.13, n = 1, t = 7
__
A = $300.00(1 + 0.13/1)^(1·7)
A = $300·(1.13^7) ≈ $300·2.35260548
A = $705.78
There will be $705.78 in the account after 7 years.
PLEASE HELP!!!
You buy a car thats $11,800. The expected depreciation of the car is 35% per year.
Part A- what is the car worth each year it depreciates from the previous year?
Part B - Find the depreciated value of the car after 6 years.
YOU CAN ANSWER EITHER. BOTH WOULD BE NICE. PLEASE HELP.
Answers
Answer:
Part a- after one year of depreciation the car would value $7475
part b: the car would be worth $-12650
Step-by-step explanation:
not sure if its correct but that's what I got
Find the missing dimension.
Answers
Answer:
1.66
Step-by-step explanation:
a = b*h
5.833 = 5*h
5.833/5 = h
1.166 = h
------------------------------------------
check work:
b*h = a
5 * 1.166 = 5.833
True
Answer:
1.66
Step-by-step explanation:
I did this already in my math class
Plzzzzz help for a brainly
Answers
Answer:
Circle
Step-by-step explanation:
The horizontal cross section of a cylinder is a circle
Answer:
Circle
Step-by-step explanation:
The horizontal cross section is a circle. If we slide the figure in half, the shape it would show is a circle.
If you have any questions, comment!!
Hope this helped!! :)
selecting a marble from a bag containing 50 marbles and 45 orange marbles
Answers
I need help with the solutions for 19,20,21 thank you
Answers
Answer:
GIVEN :-
Coordinates of points are :-
(-5 , 12)(2 , 8)(3 , -6)TO FIND :-
All the trigonometric values of given pointsFACTS TO KNOW BEFORE SOLVING :-
It's important to know that :-
In 1st quadrant (0° to 90°) , all the trigonometric values are positive .In 2nd quadrant (90° to 180°) , except sin & cosec , rest all trigonometric values are negative.In 3rd quadrant (180° to 270°) , except tan & cot , rest all trigonometric values are negative.In 4th quadrant (270° to 360°) , except cos & sec , rest all all trigonometric values are negative.SOLUTION :-
Q1)
Plot (-5,12) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 2nd quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 12 unitslength of base of triangle (OB) = 5 unitslength of hypotenuse (OA) = 13 unitsLet the angle between OA & positive x-axis be θ.
⇒ ∠AOB = 180 - θ
So ,
[tex]\sin (AOB) = \sin(180 - \theta) = \sin \theta = \frac{12}{13}[/tex][tex]\cos(AOB) = \cos (180 - \theta) = -\cos \theta = -\frac{5}{13}[/tex][tex]\tan(AOB) = \tan(180 - \theta) = -tan \theta = -\frac{12}{5}[/tex][tex]\csc(AOB) = \csc(180 - \theta) = \csc \theta = \frac{1}{\sin \theta} = \frac{13}{12}[/tex][tex]\sec(AOB) = \sec(180 - \theta) = -\sec \theta = -\frac{1}{\cos \theta} = -\frac{13}{5}[/tex][tex]\cot(AOB) = \cot(180 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{5}{12}[/tex]Q2)
Plot (2,8) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 1st quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 8 unitslength of base of triangle (OB) = 2 unitslength of hypotenuse (OA) = 2√17 unitsLet the angle between OA & positive x-axis be θ.
⇒ ∠AOB = θ
So ,
[tex]\sin(AOB) = \sin \theta = \frac{8}{2\sqrt{17} } = \frac{4}{\sqrt{17} }[/tex][tex]\cos(AOB) = \cos \theta = \frac{2}{2\sqrt{17}} = \frac{1}{\sqrt{17}}[/tex][tex]\tan(AOB) = \tan \theta = \frac{8}{2} = 4[/tex][tex]\csc(AOB) = \csc \theta = \frac{1}{\sin \theta} = \frac{\sqrt{17}}{4}[/tex][tex]\sec(AOB) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{17}[/tex][tex]\cot (AOB) = \cot \theta = \frac{1}{\tan \theta} = \frac{1}{4}[/tex]Q3)
Plot (3,-6) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 4th quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 6 unitslength of base of triangle (OB) = 3 unitslength of hypotenuse (OA) = 3√5 unitsLet the angle between OA & positive x-axis be θ . [Assume it in counterclockwise direction].
⇒ ∠AOB = 360 - θ
So ,
[tex]\sin(AOB) = \sin(360 -\theta) = -\sin \theta = -\frac{6}{3\sqrt{5} } = -\frac{2}{\sqrt{5} }[/tex][tex]\cos(AOB) = \cos(360 - \theta) = \cos \theta = \frac{3}{3\sqrt{5} } = \frac{1}{\sqrt{5} }[/tex][tex]\tan(AOB) = \tan(360 - \theta) = -tan \theta = -\frac{6}{3} = -2[/tex][tex]\csc(AOB) = \csc(360 - \theta) = -\csc \theta = -\frac{1}{\sin \theta} = -\frac{\sqrt{5} }{2}[/tex][tex]\sec(AOB) =\sec (360 - \theta) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{5}[/tex][tex]\cot(AOB) = \cot(360 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{1}{2}[/tex]Rachel started a race at 8:35 AM and finished it at 9:14 AM.
How long did it take her? Give your answer in minutes.
Answers
Answer:
that would be 39 minutes
Step-by-step explanation:
Answer:
The answer is 39 minutes
Step-by-step explanation:
You subtract 9:14 AM from 8:35 AM which equals 39 so the difference is 39 minutes.
i’m so confused.. a little help?
Answers
Answer:
Triangle has a greater perimeter.
Step-by-step explanation:
Triangle perimeter = 21cm
Add the sides.
Square perimeter = 16cm
Add the sides (since it's a square the sides are the same.)
1. Three people went to lunch at a buffet restaurant that charges $9.99 per
person for food.
• Each drink is an additional $1.99.
• Sales tax is 8.5%.
• Each person orders a drink, food, and leaves a $1.50 tip.
How much was their total lunch bill?
A $14.50
B. $35.94
C. $39.99
D. $43.49
Answers
LINK=REPORT
(4^2)^3=
A. 4^5
B. 4^6
C. 8^5
D. 16^5
(5^2)(5^3)=
A. 5^5
B. 5^6
C. 10^5
D. 25^5
(3^4)(3^5)=
A. 3^9
B. 9^9
C. 3^20
D. 6^20
Which is equivalent to 2^3•2^-5?
A. 2^-15
B. 2^-8
C. 2^-2
D. 2^2
If you answer all four of them and they are right I will give brainliest!
Answers
Answer:
a) 4^6
b) 5^5
c)3^9
d)2^-2
Step-by-step explanation:
When raising a number to a power and then to another power, you can multiply the exponents.
When multiplying numbers with the same base to different exponents, you can add the exponents.
Choosing a tuna turkey or cheese sandwich on wheat or white bread with a side of potato chips corn chips or baked potatoes
Answers
Answer:
Cheese sandwich on white bread and a side of potato chips
Step-by-step explanation:
If 2^2x = 2^3, what is the value of x?
Answers
Answer:
x=2
Step-by-step explanation:
If the price is increasing at a rate of 2 dollars per month when the price is 10 dollars, find the rate of change of the demand.
Answers
Answer:
The demand reduces by $7.12 per month
Step-by-step explanation:
Given
[tex]p\to price[/tex]
[tex]x \to demand[/tex]
[tex]2x^2+5xp+50p^2=24800.[/tex]
[tex]p =10; \frac{dp}{dt} = 2[/tex]
Required
Determine the rate of change of demand
We have:
[tex]2x^2+5xp+50p^2=24800.[/tex]
Differentiate with respect to time
[tex]4x\frac{dx}{dt} + 5x\frac{dp}{dt} + 5p\frac{dx}{dt} + 100p\frac{dp}{dt} = 0[/tex]
Collect like terms
[tex]4x\frac{dx}{dt} + 5p\frac{dx}{dt} = -5x\frac{dp}{dt} - 100p\frac{dp}{dt}[/tex]
Factorize
[tex]\frac{dx}{dt}(4x + 5p) = -5(x + 20p)\frac{dp}{dt}[/tex]
Solve for dx/dt
[tex]\frac{dx}{dt} = -\frac{5(x + 20p)}{4x + 5p}\cdot \frac{dp}{dt}[/tex]
Given that: [tex]2x^2+5xp+50p^2=24800.[/tex] and [tex]p = 10[/tex]
Solve for x
[tex]2x^2 + 5x * 10 + 50 * 10^2 = 24800[/tex]
[tex]2x^2 + 50x + 5000 = 24800[/tex]
Equate to 0
[tex]2x^2 + 50x + 5000 - 24800 =0[/tex]
[tex]2x^2 + 50x -19800 =0[/tex]
Using a quadratic calculator, we have:
[tex]x \approx -113\ and\ x\approx88[/tex]
Demand must be greater than 0;
So: [tex]x=88[/tex]
So, we have: [tex]x=88[/tex]; [tex]p =10; \frac{dp}{dt} = 2[/tex]
The rate of change of demand is:
[tex]\frac{dx}{dt} = -\frac{5(88 + 20*10)}{4*88 + 5*10} * 2[/tex]
[tex]\frac{dx}{dt} = -\frac{5(288)}{402} * 2[/tex]
[tex]\frac{dx}{dt} = -\frac{2880}{402}[/tex]
[tex]\frac{dx}{dt} \approx -7.16[/tex]
This implies that the demand reduces by $7.12 per month
2x 3 +5x 2 +x−5 is divided by x+1x+1
Answers
Answer:1
Step-by-step explanation:
A local eat-in pizzeria wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 37 minutes. The owner has randomly selected 15 customers and delivered pizzas to their homes. What hypotheses should the owner test to see whether that the pizza delivery will be successful
Answers
Answer:
Hypothesis Test is:
Null Hypothesis H₀ x = 37
Alternative Hypothesis Hₐ x > 37
With that test hypothesis if we accept H₀ the result indicates that we can support that the average delivery time is equal to 37 we can proceed with the project. If on the other hand, we need to reject H₀ that means that the average delivery time exceed 37
Step-by-step explanation:
The limit average time is 37 minutes. Therefore under that value, the owner is happy. From the sample we have:
Sample size n = 15
we have data from delivery times then we have the mean x of the sample and standard deviation of the sample s
We assume normal distribution and as n < 30 test should be developed with t - student distribution.
Hypothesis Test is:
Null Hypothesis H₀ x = 37
Alternative Hypothesis Hₐ x > 37
With that test hypothesis if we accept H₀ the result indicates that we can support that the average delivery time is equal to 37 we can proceed with the project. If on the other hand, we need to reject H₀ that means that the average delivery time exceed 37
An indoor running track is 200 meters in length. During a 3,000-meter race, runners must complete 15 laps of the track. An electronic timing device records the time it takes each runner to complete a lap for every lap in the race. These are called lap times. The histogram below displays the lap times for Stefano, a runner in the 3,000-meter race.
A histogram titled Stefano apostrophe s 3,000 meter race lap times has lap times (seconds) on the x-axis and frequency on the y-axis. 32 to 33, 1; 34 to 35, 1; 36 to 37, 1; 37 to 38, 4; 38 to 39, 5; 39 to 40, 1; 40 to 41, 2.
Which of the following is a true statement based on the histogram?
There were no lap times between 35 and 36 seconds.
There were six laps with times less than 37 seconds.
There were three laps with times greater than 38 seconds.
The interval from 37 to 38 seconds saw the most lap times.
Answers
Answer:
Person above me is wrong lol
If we're looking at the same graph, it's actually (A).
There should be a gap between 35-36.
There were no lap times between 35 and 36 seconds.
ED2021
The following is a true statement based on the histogram
There were no lap times between 35 and 36 seconds.
The correct option is (A).
What is Histogram?A histogram is a graphical representation that organizes a group of data points into user-specified ranges.
An indoor running track is 200 meters in length.
As, a 3,000-meter race, runners must complete 15 laps of the track.
As, there were no data for interval 35-36 seconds. There should be a gap between 35-36.
So, there were no lap times between 35 and 36 seconds.
There were six laps with times less than 37 seconds is false.
There were three laps with times greater than 38 seconds, is also false.
The interval from 37 to 38 seconds saw the most lap times, most lap time is 38-39.
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Helpppppppppppppppp meeeeeeeeeeee plssssssssssssssssss
Answers
Answer:
A: NO
B: YES
C: NO
D: NO
Step-by-step explanation:
A. No
B. Yes
C. No
D. No
Explanation: Have an amazing day!!
Hundred Metal Spheres with a radius of 4cm each are melted. The melted solution is filled into a cube with a base area of 16cm x 10cm. Find the height of the cube filled with solution.
Answers
Answer:
Height = 167.47 cm
Step-by-step explanation:
volume of one sphere = 4/3πr³ = 4/3(3.14)(4³) = 267.9467 cm³
267.9467 cm³ x 100 spheres = 26794.67 cm³
volume of cube = L x W x H
26794.67 = 16 x 10 x H
H = 167.47 cm
An architect is creating a scale drawing of a school computer lab. The length of the lab is 32 feet and the width of the lab is 48 feet. If each 16 feet of the lab equals 2 centimeters on a scale drawing, which of the following drawings is the scale drawing of the computer lab?
Answers
Answer:
The answer is B
Step-by-step explanation:
Length:
32ft. / 16ft. = 2
2 x 2cm. = 4 cm.
Width:
48ft. / 16ft. = 3
3 x 2cm. = 6cm
Answer:
b
Step-by-step explanation:
Melissa started a game at 5:06 PM and finished it at 6:32 PM.
How long did it take her? Give your answer in hours and minutes.
Answers
Answer:
1 hour 26 minutes
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
Twice the difference of 1 and a number.
Answers
Answer:
2(1 - x)
Step-by-step explanation:
Twice the difference of 1 and a number
a number = x
The difference of 1 and a number is expressed as :
1 - x
Twice this difference, means the difference of (1-x) multiplied by 2
2 * (1 - x) = 2(1 - x)
If g=8 what is a value of the expression 9 2+3?
Answers
Answer: 8*2+3 = 16+3 = 19
Find the sum.
10 + 12 + 14 + ... + 80
Answers
Answer:
1620
Step-by-step explanation:
The amount of even integers between 10 and 80 inclusive is 36 (5 for each interval of 10 [e.g., 10-19 has 5, 20-29 has 5] and one extra for 80).
Since the numbers are consecutive even numbers, we can use the fact that the sum of the numbers is equal to the average of the numbers, times the number of numbers.
The average of the numbers is 45, since [tex]\frac{10+80}{2}=45[/tex]. We can use only the two outer numbers to determine the average since the numbers are all evenly spaced as they are consecutive even numbers.
[tex]45\times36=1620[/tex], so the sum is 1620.
What does area mean? When you are asked to find the
area what are you doing?
Answers
Answer:
you want to muliply the length and width to find area.
Step-by-step explanation:
What is the volume of the right rectangular prism, in cubic centimeters?
Vx
9 cm
3 cm
4 cm
cubic centimeters
©
Answers
Answer:
108 cm³
Step-by-step explanation:
Formula: V = w×h×l
Solution: V = whl = 4·3·9 = 108
Hence, the answer is 108 cm³