Answer:
[tex](x-3)^{2} = 10[/tex]
Step-by-step explanation:
[tex]\\Question 1\\\\-2xc = -6x\\2xc = 6x\\c = \frac{6}{2} \\c = 3\\x^{2} - 6x + cx^{2} = 1 + c^{2} \\x^{2} - 6x + 3^{2} = 1 + 3^{2}\\x^{2} - 6x + 9 = 1 + 9\\x^{2} - 6x + 9 = 10\\(x - 3)^{2} = 10\\REWRITINGx^{2} - 6x = 1 is equal (x -3)^{2} = 10\\[/tex]
I hope this help!
I don't know the second one ^-^
Please please help me!
Answer:
x=19.2
Step-by-step explanation:
sin(28)=9/x
x=9/sin(28)
x=19.2
In the triangle below,
y = [ ? ) cm. Round to the
nearest tenth.
15 cm
х
35
90°
y
Enter
An organization purchases 10 computers from a manufacturer with lifetimes modeled as exponential variables (mean of 5 years). What is the probability that at least 6 computers are functioning beyond 6 years
Answer:
0.0482 = 4.82% probability that at least 6 computers are functioning beyond 6 years
Step-by-step explanation:
For each computer, there are only two possible outcomes. Either it works beyond 6 years, or it does not. The probability of a computer working beyong 6 years is independent of any other computes. This means that the binomial probability distribution is used to solve this question.
As the lifetime of a computer is an exponential variable, the probability of a computer working beyond 6 years is found using the exponential distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
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]
Probability of a computer working beyong 6 years:
Mean of 5 years means that [tex]m = 5, \mu = \frac{1}{5} = 0.2[/tex]
The probability is:
[tex]P(X > 6) = e^{-0.2*6} = 0.3012[/tex]
What is the probability that at least 6 computers are functioning beyond 6 years?
10 computers means that [tex]n = 10[/tex]
0.3012 probability of a computer working beyond 6 years means that [tex]p = 0.3012[/tex]
This probability is:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{10,6}.(0.3012)^{6}.(0.6988)^{4} = 0.0374[/tex]
[tex]P(X = 7) = C_{10,7}.(0.3012)^{7}.(0.6988)^{3} = 0.0092[/tex]
[tex]P(X = 8) = C_{10,8}.(0.3012)^{8}.(0.6988)^{2} = 0.0015[/tex]
[tex]P(X = 9) = C_{10,9}.(0.3012)^{9}.(0.6988)^{1} = 0.0001[/tex]
[tex]P(X = 10) = C_{10,10}.(0.3012)^{10}.(0.6988)^{0} \approx 0[/tex]
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0374 + 0.0092 + 0.0015 + 0.0001 + 0 = 0.0482[/tex]
0.0482 = 4.82% probability that at least 6 computers are functioning beyond 6 years
what is the equation for g, which is f(x)=2x+3x-1 reflected across the y-axis
A baseball league finds that the speeds of pitches are normally distributed,
with a mean of 89 mph and a standard deviation of 2.4 mph. One pitch is
thrown at a speed of 83.2 mph. What is the z-score of this pitch? Round your
answer to two decimal places.
A. -2.42
B. -2.72
C. 2.42
D. 2.72
1/3 times 1/2 times 1/4
Answer:
1/3 x 1/2 x 1/4 = 1/24
Step-by-step explanation:
For which situation could flipping a coin be used to generate a random sample
A: To predict if a machine will be defective or not. B: To predict student performance on an exam. C: To predict the number of peanuts in a container. D: to predict which of four players will win a gold tournament.
I put A but Im not sure.
Answer: B
because its 50/50 chance you'll have heads or tails
Pls help I'll give brainlest
Answer:
6
Step-by-step explanation:
a=V⅓=216⅓=6
hope this helped
Answer:
the answer is 6 because on each side there is 36 cubic units meaning you need to multiply 6 by what ever number untill you get to 36 and 6*6=36
Step-by-step explanation:
UwU
Hey, please could someone help :)
Step-by-step explanation:
Under 18 tickets: 5062-3484=1578
Total money: 3484*18+1578*12=81648$
100%-85%=15% goes to community projects
So, (15/100)*81648=12247.2 $
HELP!! geometry homework
Answer:
2794 in³
Step-by-step explanation:
Given
base (a) = 17 in
vertical height (h) = 29 in
Now
Volume of the square pyramid
= 1/3 a²h
= 1/3 * 17² * 29
= 2793.7 in³
= 2794 in³
hope it helps :)
Answer:
2794
Step-by-step explanation:
V=s^2 times height over three
17^2 times 29/3
PEMDAS, exponents first
17^2=289
PEMDAS, next up multiplication
289 times 29/3
8381/3 or 2793.7
round to nearest whole number
2794
Shun is going to flip a fair coin 450450450 times.
Complete the following statement with the best prediction.
The coin will land tails up...
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Exactly 175175175 times
(Choice B)
B
Close to 175175175 times but probably not exactly 175175175 times
(Choice C)
C
Exactly 225225225 times
(Choice D)
D
Close to 225225225 times but probably not exactly 225225225 times
Answer:
c
exactly 225225225 times
Answer:
The answer is- Close to 225225225 times but probably not exactly 225225225 times
Step-by-step explanation:
according to Khan Academy
What is the answer???
A.
1.2° N of E
B.
1.2° S of E
C.
66.8° N of E
D.
66.8° S of E
Answer:
c
Step-by-step explanation:
Which of the following statements is false?
A
Credit cards let you spend unlimited money.
B.
Credit cards have minimum monthly payments.
с
Credit cards give you the chance to build good credit.
D
Credit cards let you spend money that you don't have.
Answer:
A: Credit Cards let you spend unlimited amount of money.
please help, ill give brainliest
Answer:
hope this help you......
Determine the amplitude or period as requested. Amplitude of y = cos 5x a (2pi)/5 b 1 d 5
Answer:
The amplitude is 1
Step-by-step explanation:
Given
The right function is:
[tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]
Required
Determine the amplitude
The general cosine function is:
[tex]y = A\cos(k(x + c)) +d[/tex]
Where
[tex]Amplitude = |A|[/tex]
Compare [tex]y = A\cos(k(x + c)) +d[/tex] and [tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]
[tex]A = 1[/tex]
So:
[tex]Amplitude = |1|[/tex]
So, we have:
[tex]Amplitude = 1[/tex]
For what angles are sine and cosine the same?
Answer:
e
Step-by-step explanation:
Help me please help ASAP help me ASAP please please help ASAP
Answer:
P = 10π + 30 ≈ 61.4
Step-by-step explanation:
Perimeter = s1 + s2 + s3 + s4
= πd/2 + 15 + πd/2 + 15 = 2 (5π + 15) = 10π + 30 ≈ 61.4
Find the missing side of each right triangle (((((Pythagorean’s Theorem))))))))
Answer:
3.87
Step-by-step explanation:
? = a
b = 1
c = 4
a² + b² = c²
a² + 1² = 4²
a² + 1 = 16
a² = 15
a = 3.8729
Rounded to hundredths: 3.87
In a unit circle, 0 = 37 radians. What is the terminal point?
A. (0, -1)
B. (-1,0)
C. (1,0)
D. (0.1)
Answer:
A
Step-by-step explanation:
[tex] \frac{3\pi}{2} = 270[/tex]
On the unit circle, 270 is located between the third and fourth quadrant.
Sin(-90)=-1
Using the peridoicy formula, sin 270=-1. Whenever Sin is 1 or -1, cos is 0. Sin referred as the y value. Cosine is referred as x value so A is the answer.
The terminal point of the given unit circle is (0.6235, 0.7818).
We have,
To find the terminal point of an angle in a unit circle, we need to use the trigonometric ratios of sine and cosine.
The angle Ф = 3π/7 radians is in standard position,
which means its initial side coincides with the positive x-axis.
The sine of theta is given by the y-coordinate of the terminal point, and the cosine of theta is given by the x-coordinate of the terminal point.
sin(theta) = sin(3π/7) ≈ 0.7818
cos(theta) = cos(3π/7) ≈ 0.6235
The terminal point of the angle theta is (cos(theta), sin(theta)):
Terminal point = (0.6235, 0.7818)
Therefore,
The terminal point of the given unit circle is (0.6235, 0.7818).
Learn more about terminal point of a circle here:
https://brainly.com/question/28973006
#SPJ7
Helppppppppppppppppppppppp
Answer:
32
Step-by-step explanation:
Answer:
113.04 yd³
Step-by-step explanation:
The formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {3}^{3} [/tex]
[tex] = \frac{339.12}{3} [/tex]
= 113.04 yd³
what is this y=
[tex] \frac{3}{2}x+3 [/tex]
the y=-3
Answer:
X=-4
Step-by-step explanation:
If you are finding x,
set these two functions equal to each other
3/2x+3=-3
3/2x=-6
x=-4
HELP PLEASE ILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
50%
- Animals
Home
Economics -
20%
30%
- Farm Mechanics
There were 2500 entries at the county fair. The circle graph tells what types of entries were made.
How many were Farm Mechanics entries?
Answer:
750 were Farm Mechanics.
Step-by-step explanation:
30% of 2500 is 750.
Hope this helps
Find the point of intersection of the lines in the figure, given that line A, in red, has equation y=x+3 and line B, in blue, has equation 2x+3y=10.
x=
y=
Answer:
(0.2, 3.2)
Step-by-step explanation:
line A, in red, has equation y=x+3 times 3 3y=3x+9
line B, in blue, has equation 2x+ 3y = 10
-3x + 3y = 9 subtract thes two equations
(2x - -3x) + (3y -3y) = 10 - 9
5x + 0y = 1
5x = 1
x = 1/5 or 0.2
y = x + 3
y = 0.2 + 3
y = 3.2
The ratio of health club members who use trainers to those who do not
is 2:7. There are 306 members who use trainers. How many members
does the club have?
Answers
1377
explanation
2:7=9
2=306
9 =?
9×306 = 2754
2 2
=1377 members
Which expression is equivalent to j(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)?
o 13'
o 13j
o j13
oj + 13
need help fast pls!
PLS HELP!!!The mayor wants to know if her city's residents will support a tax increase to build a new library.
Which method of sampling would produce the least biased results?
The answer is D. Ask every 20th person listed as a resident of the city
The Edward James Toy Company uses a Kanban system to make plastic wheels that are a component of several toys. The waiting time for a container of the wheels during production is 0.25 day; average processing time is 0.15 day per container. Each container holds 200 wheels. The company uses 2,000 wheels a day in the production of its products. Use the information in Case 6.1. Using a policy variable of 5%, calculate the number of Kanban containers needed for the wheels.
Answer:
[tex]N_c \approx 5.0[/tex]
Step-by-step explanation:
From the question we are told that:
Waiting time for a container of the wheels during production [tex]T_w=0.25day[/tex]
Average processing time is [tex]T_a=0.15 day per container[/tex]
Wheel per container [tex]N_w=200[/tex]
Total wheel per day [tex]D=2000[/tex]
Policy variable of [tex]X=5%[/tex]
Generally the equation for Total number of container [tex]N_c[/tex] is mathematically given by
[tex]N_c=DT(\frac{1+X}{N_w} )[/tex]
Where
Total time [tex]T=T_w+T_a[/tex]
[tex]T=0.15+0.25[/tex]
Therefore
[tex]N_c=DT(\frac{1+X}{N_w} )[/tex]
[tex]N_c=2000*0.40(\frac{1+0.5}{200} )[/tex]
[tex]N_c=(\frac{840}{200} )[/tex]
[tex]N_c=4.2[/tex]
[tex]N_c \approx 5.0[/tex]
Therefore the number of Kanban containers needed for the wheels is
[tex]N_c \approx 5.0[/tex]
pls help Graph the rectangle after a 90° clockwise rotation about the origin.
Answer:
can you post the graph so I can answer to the best o my ability
What is the equation of a line that goes through (2,5) and (-2, 3)?
Answer:
y = 1/2x+4
Step-by-step explanation:
First find the slope
m= (y2-y1)/(x2-x1)
= (3 - 5)/(-2 -2)
= -2/-4
= 1/2
Using point slope form
y -y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-5 = 1/2(x-2)
Distribute
y-5 = 1/2x -1
Add 5 to each side
y-5+5 = 1/2x -1+5
y = 1/2x+4