Answer:
a. 0.1536
b. 0.9728
Step-by-step explanation:
The probability that a component fails, P(Y) = 0.2
The number of components in the system = 4
The number of components required for the subsystem to operate = 2
a. By binomial theorem, we have;
The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;
P(Y = 2) = [tex]\dbinom{4}{2}[/tex] × 0.2² × 0.8² = 0.1536
The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536
b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working
Therefore, we have;
P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)
P(Y = 0) = [tex]\dbinom{4}{0}[/tex] × 0.2⁰ × 0.8⁴ = 0.4096
P(Y = 1) = [tex]\dbinom{4}{1}[/tex] × 0.2¹ × 0.8³ = 0.4096
P(Y = 2) = [tex]\dbinom{4}{2}[/tex] × 0.2² × 0.8² = 0.1536
∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728
The probability that the subsystem operates longer than 1,000 hours = 0.9728
PLEASE ANSWER ASAP!!
Roger bought some turkey and some roast beef for the soccer club picnic. He paid $110 for a total of 20 pounds of meat. The turkey cost $6 per pound, and the roast beef cost $5 per pound.
A) Create a system of equations that models the situation. Define the variables you use.
B) The graph shows one of the relevant equations in this situation. Draw the graph of the other relevant equation.
78% of a certain food is fat. Out of 100 total grams, how many grams are
not fat?
I need help very quickly, please!!
Answer:
32ft
Step-by-step explanation:
Tan = opp/adj
Tan(65) = n / 15
Tan(65) x 15 = n
n = 32.16 = 32ft
Answer:
32 feet
Step-by-step explanation:
Hi there!
We are given a right triangle and the angle of elevation (one of the acute angles in the triangle) as 65°, as well as one of the legs (sides that make up the right triangle) as 15
We need to find the height of the triangle.
Let's make the height of the triangle (the side we need to find) x
Since we need to find the height of the triangle, let's use tangent. As we have the angle of elevation given, we'll use that.
Recall that tangent is [tex]\frac{opposite}{adjacent}[/tex]
in reference to the angle of elevation, the opposite side is x, and the adjacent side is 15
that means that:
tan(65)=[tex]\frac{x}{15}[/tex]
plug tan(65) into your calculator (make sure it's on degree mode!)
tan(65)≈2.14
2.14=[tex]\frac{x}{15}[/tex]
multiply both sides by 15 to clear the fraction
32.1=x
The problem asks us to round to the nearest foot, so the height of the building is 32 feet
Hope this helps! :)
The average low temperatures in January are given for a few cities. Arrange the cities in increasing order of their temperatures. Barrow -19°F Littlefork -9°F Boston 22°F Topeka 20°F Chicago 18°F
Answer:
Barrow
Littlefork
Chicago
Topeka
Boston
Step-by-step explanation:
Freezing point is 0° while boiling point is 100°
Temperatures below 0° are very cold and temperatures greater than 0° are warmer compared to temperatures below 0°
The coldest would be barrow
the next is Littlefork
Then Chicago and Topeka and Boston
Answer:
BarrowLittleforkChicagoTopekaBoston
Step-by-step explanation:
Find the range, median, and mode of the following dot plot.
0.11
0.12 0.13
0.14 0.15 0.16 0.17 0.18
Range:
Median:
Mode:
Answer:
Range: 0.07
Median: 0.145
Mode: none
Step-by-step explanation:
Range: largest #- smallest #
Median: middle number (when numbers are in order least to greatest) or when two are middle number you add them, and divide by two
Mode: most occurring number(s) (if there aren't any, no mode)—but if there are multiples such as 2 zeros and 2 ones then 0 and 1 would be the mode
A positive
B negative
C none
D multiple
Answer:
Step-by-step explanation:
The letter c
The rectangle has length 4.5cm and width 2.8cm. Work out the area
Answer:
11/1//11/1
Step-by-step explanation:
what is the possibility of going school on a saturday?
Answer:
I personally think there's a low chance of going to school on a Saturday since the only reason that I have in mind is that the student needed help catching up and completing their work. Another reason a student may go to school on a Saturday is because they're part of student senate/student council and they're planning for something there.
Hope I helped :)
HELP PLEASE!!! The circle graph shows the distribution of age groups of people living in a city. Identify the measure of arc QR.
Answer:
measure of arc QR = 28.8°
Step-by-step explanation:
Full circle = 100% = 360°
Measure of arc QR = percentage covered by arc QR / 100 × 360
arc QR covers 8%
Therefore:
measure of arc QR = 8/100 × 360°
measure of arc QR = 0.08 × 360°
measure of arc QR = 28.8°
Which value of y makes the equation 55/y = 5 true?
Answer:
11
Step-by-step explanation:
55/11=5
someone annnnswer pls
Answer:
t = 16
Step-by-step explanation:
Hope this helped :]
Now,
10/5t - 75 = 12/6
10*6 = 12 (5t - 75)
60 = 60t - 900
60 + 900 = 60t
960 = 60t
t = 960/60
t = 16
I hope it's help you...
Mark me as brainliest...
Hi!! I hope you are having a good day. I’m having an exam rn and I need help, these are short answers.
1. The radius of a circle is 14 cm. If π is taken as 3.14; what is the circumference of the circle.
2. Calculate: 2 3/6 + 3/6 =
3. Damarie and Breanna share a reward of $117 at a ratio 1:8. What was Breanna's share?
4. Razon is constructing a decagon shape motel; each side measuring 12.4 cm. As the contractor, calculate the perimeter of this motel.
5. Using the division method, find the prime factors of 42? State if this number is odd or even.
6. Complete the the number sequence 1, 3, 10, 21, 64, 129_____, 777.
7. Using the factor three method, list the prime factors of 68 *
8. Don- tae decided to ship a container to JM to stock his Supermarket. The length of the container is 16.3 m , breadth 8 m and height 6. 2 m. Calculate the volume of this container.
9. A circle has a circumference of 44 cm, given that π 22/7, calculate the its diameter.
Answer:
1.) 88cm
2.) 3
3.)104
Step-by-step explanation:
1) circumference= 2πr
2×22/7×14 = 88cm
help help helpppppppppp
Answer:
28 answer write ✍️ now ok
Put these numbers in order from least to greatest.
0.1, 1/2, and 0.2
Answer:
0.1, 0.2, 1/2
Answer:
0.1<0.2<0.5(1/2)
hope it helps
have a nice day
PLS FIND THIS MOVIE
At the begining of the movie the female protagonist witnesses a somewhat elderly woman killing herself (jumping from a window/balcony). As she falls to the ground, she throws away a bunch of (photos/letters or journal pages, can’t remember exactly). The protagonist takes the stuff the elderly woman threw away and…as I belive, she starts to travel back in time or something. There she meets this man that she starts to have a relationship with him even though he is abusive and married and…plot twist…towards the end she finds out that he was actually her father. And she was the woman she knew, as a child, to be her fathers mistress.
Answer:
the nun I think so
actually it may be wrong ☺️
Help me please.
No links i will report anything not related to the question
Answer:
6/9 and 4/6
Step-by-step explanation:
Double and Triple the number
What is the product?
Answer:
the first option
Step-by-step explanation:
Which expression is equivalent to 24 1/3? A. 2 square root 3 B. 2(3 square root 3) C.2 squareroot 6 D 2(3 square root 6) (look at image please)
Answer: Its B
Explanation: took the quiz
[tex]\longrightarrow{\pink{ B. \:2\sqrt[3]{3} }}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex]= {24}^{ \frac{1}{3} } [/tex]
[tex] = \sqrt[3]{24} [/tex]
[tex] = \sqrt[3]{2 \times 2 \times 2 \times 3} [/tex]
[tex] = \sqrt[3]{ ({2})^{3} \times 3} [/tex]
[tex] = 2\sqrt[3]{3} [/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
At 111111:55\text{ p.M.}55 p.M.55, start text, space, p, point, m, point, end text, Thomas ties a weight to the minute hand of a clock. The clockwise torque applied by the weight (i.E. The force it applies on the clock's hand to move clockwise) varies in a periodic way that can be modeled by a trigonometric function. The torque peaks 151515 minutes after each whole hour, when the minute hand is pointing directly to the right, at 3\text{ Nm}3 Nm3, start text, space, N, m, end text (Newton metre, the SI unit for torque). The minimum torque of -3\text{ Nm}−3 Nmminus, 3, start text, space, N, m, end text occurs 151515 minutes before each whole hour, when the minute hand is pointing directly to the left.
The Torque function is T(t) = 3sin((t-5)π/30).
What is Torque?When an engine exerts itself, torque, which is a twisting force, speaks to the rotational force of the engine and quantifies how much of that twisting force is accessible.
Given:
After 5 minutes Thomas ties it on, the torque is zero and increasing.
So, the sine function is shifted right 5 minutes.
and, The maximum value is 3.
Then, the multiplier of the sine function as the period is 60 minutes
Then, the coefficient of t = (2π/60)
= π/30.
Hence, the Torque function is T(t) = 3sin((t-5)π/30).
Learn more about Torque here:
https://brainly.com/question/25708791
#SPJ5
WRITE AN EQUATION THAT REPRESENTS THE LINE. (USE EXACT NUMBERS)
I WILL GIVE BRAINLIEST!!!
Answer:
y = -1/2x - 3 1/2 exact fractions
y = -0.5x - 3.5 exact decimals
Step-by-step explanation:
From the two points indicated on the graph
rise goes from -4 to -5 = -1
run goes from 1 to 3 = 2
m = slope = rise/run = -1/2
slope intercept form is
y = mx+b
to find "b" use either point
using (1, -4)
-4 = (-1/2)(1) + b
-4 = -1/2 + b
Add 1/2 to both sides
-3 1/2 = b
The equation is
y = -1/2x - 3 1/2 exact fractions
y = -0.5x - 3.5 exact decimals
The second term in a sequence is 13. The term to term rule is "add 6"
Write an expression, in terms of n, for the nth term of the sequence.
Answer:
[tex]a_{n}[/tex] = 6n + 1
Step-by-step explanation:
This is an arithmetic sequence with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 13 - 6 = 7 and d = 6 , then
[tex]a_{n}[/tex] = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1
Answer:
the first few terms would be
7, 13, 19, 25, 31
nth term = 7 + 6(n+1)
nth term = 7+ 6n + 6
nth term = 6n + 13
a. x ll y
b. y ll z
c. a ll b
d. x perpendicular to b
Answer:
Option B
Step-by-step explanation:
By applying the converse theorem of corresponding angles,
"If corresponding angles formed between two parallel lines and the transversal line are equal then both the lines will be parallel"
Angle between line B and Y = 90°
Angle between line B and Z = 90°
Therefore, corresponding angles are equal.
By applying converse theorem, line Y and line Z will be parallel.
Option B will be the answer.
8(-3) + (-1) verify the following
Answer:
The answer is - 25
If it is correct then make it brainlist
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{8(-3) + (-1)}[/tex]
[tex]\large\textsf{= 8(-3) - 1}[/tex]
[tex]\large\textsf{8(-3) = \boxed{\large\textsf{\bf -24}}}[/tex]
[tex]\large\textsf{-24 - 1}[/tex]
[tex]\large\textsf{= \underline{\bf -25}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf -25}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please answer Question 1. 20 points and 5-star rate.
No docs/No file or will report. Only type answer.
Answer:
answer is 5 cm
Hope i helped have a nice day :)
Hep me please! :)
The question it’s number 3
Which expression is equivalent to..
Answer:
its D
Step-by-step explanation:
Answer:
its probably D your welcome
i need the answer plz
Answer:
see explanation
Step-by-step explanation:
If (x - 1) is a factor then f(1) = 0
Given
f(x) = x³ - 13x² + 32x - 20 , then
f(1) = 1³ - 13(1)² + 32(1) - 20
= 1 - 13 + 32 - 20
= 0
Since f(1) = 0 then (x - 1) is a factor
Using Synthetic division
1 | 1 - 13 32 - 20
↓ 1 - 12 20
-----------------------------
1 - 12 20 0 ← remainder
quotient = x² - 12x + 20 = (x - 2)(x - 10)
Then
x³ - 13x² + 32x - 20 = (x - 1)(x - 2)(x - 10) ← in factored form
Lydia's school is holding a candy fundraiser. They are selling lollipops for $0.50 and candy bars for $1.50 Lydia buys 6 lollipops and some candy bars. If she spends $15.00 in total, how many candy bars, b, did Lydia buy?
Answer:
8
Step-by-step explanation:
Let's say that the amount of lollipops Lydia buys is represented by x and the number of candy bars is represented by y. For each x, Lydia spends 0.50, and for each y, Lydia spends 1.50. This means that the total amount she spends can be represented by the equation 0.50*x+1.50*y. Our equation is then 0.50*x+1.50*y=15
Using our equation, we can plug 6 in for x, resulting in 0.50*6+1.50*y=15, so [tex]0.50x+1.50y=15\\0.5(6)+1.50y=15\\3+1.50y=15\\1.50y=12\\y=8[/tex]
In this set of equations, we plugged 6 in, multiplied it out, then subtracted 3 from both sides, and finally divided both sides by 1.50 to get 8 as our answer.
What is the multiplicative rate of change of the
function?
Answer:
0.25×5=0.125
0.125×0.5=0.0625
0.0625×0.5=0.03125
the multiplicative rate of chage of the function is 0.5
Calculate the Kinetic Energy when the mass of the car is 1,200kg and the speed
is 11.11 m/s.
Answer:
74059.3 J
Step-by-step explanation:
KE = I/2mv²
KE = 1/2(1200)(11.11)²
KE = 1/2(1200)(123.4321)
KE = 74059.26 J
Answer
74059.26J
Explanation
Formula
EK=mv^/2
m=1200kg
v=11.11m/s
E=1200kg×(11.11m/s)^/2
E=74059.26J
Simplify: (4 – 5) – (13 – 18 + 2). (Am I right or wrong)
(a) -1,
(b) –2,
(c) 1,
(d) 2.
This is my work below!!!
(4 – 5) – (13 – 18 + 2).
= -1-(13+2-18).
= -1-(15-18).
= -1-(-3).
= -1+3.
= 2.
Answer:
You're right...
Step-by-step explanation:
(4-5)-(13-18+2)
(-1)-(-3)
-1+3
2