Answer:
[tex]\sin(C)=\pm\sqrt{1-\cos^2(C)}[/tex]
Step-by-step explanation:
Given the Pythagorean Identity:
[tex]\sin^2(C)+\cos^2(C)=1\\[/tex]
We want to solve for sin(C).
First, we will subtract cos²(C) from both sides:
[tex]\sin^2(C)=1-\cos^2(C)[/tex]
Next, we will take the square root of both sides. Since we are taking an even-root, we will need to add plus/minus. Hence:
[tex]\sin(C)=\pm\sqrt{1-\cos^2(C)}[/tex]
What is the volume of a cylinder with a radius of 2 cm and a height of 8 cm?
Answer:
V = 100.531 cm³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder: V = πr²hStep-by-step explanation:
Step 1: Define Variables
r = 2 cm
h = 8 cm
Step 2: Find Volume
Substitute [Volume]: V = π(2 cm)²(8 cm)Exponents: V = π(4 cm²)(8 cm)Multiply: V = π(32 cm³)Multiply: V = 100.531 cm³Find x =
Please help I’ll give brainiest answer
Answer:
The Answer is 6
-3/7 × - 1 2/3
what is the answer
Answer:
[tex]\boxed{\frac{5}{7} }[/tex]
Step-by-step explanation:
[tex]-\frac{3}{7} \times (- 1 \frac{2}{3} )[/tex]
[tex]= -\frac{3}{7} \times (- \frac{5}{3} )[/tex]
[tex]= \frac{5}{7}[/tex]
Answer:
5/7
Step-by-step explanation:
do you get the answer?
what is -5x + 3y= 12 in slope intercept form?
Answer:
y = (5/3)x + 4
Step-by-step explanation:
-5x + 3y = 12 (What you start with)
3y = 12 + 5x (Adding 5x to both sides)
y = (5/3)x + 4 (Dividing the equation by 3)
please i really really need help BRAIBLIST ASAP
Which statements are ture about 5/6 and 7/10 ?Check all that apply
Answer:
is that all?
Step-by-step explanation:
isnt there more to the problem?
Determine the value of x and y
where is the question , without question how can we find the Values
HELP QUICK! 20 POINTS PLEASE GET IT CORRECT
HELPPPPPPP!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
As you saw in my comments, I explained it.
Thank you for letting me help!
Cheers!
- Kay :)
The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a television set:
a. Fails in less than 10,000 hours.
b. Lasts more than 120,000 hours.
c. Fails between 60,000 and 100,000 hours of use.
d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?
Answer:
0.9
0.3012
0.1809
230258.5
Step-by-step explanation:
Given that:
μ = 100,000
λ = 1/μ = 1 / 100000 = 0.00001
a. Fails in less than 10,000 hours.
P(X < 10,000) = 1 - e^-λx
x = 10,000
P(X < 10,000) = 1 - e^-(0.00001 * 10000)
= 1 - e^-0.1
= 1 - 0.1
= 0.9
b. Lasts more than 120,000 hours.
X more than 120000
P(X > 120,000) = e^-λx
P(X > 120,000) = e^-(0.00001 * 120000)
P(X > 120,000) = e^-1.2
= 0.3011942 = 0.3012
c. Fails between 60,000 and 100,000 hours of use.
P(X < 60000) = 1 - e^-λx
x = 60000
P(X < 60,000) = 1 - e^-(0.00001 * 60000)
= 1 - e-^-0.6
= 1 - 0.5488116
= 0.4511883
P(X < 100000) = 1 - e^-λx
x = 100000
P(X < 60,000) = 1 - e^-(0.00001 * 100000)
= 1 - e^-1
= 1 - 0.3678794
= 0.6321205
Hence,
0.6321205 - 0.4511883 = 0.1809322
d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?
P(x > x) = 10% = 0.1
P(x > x) = e^-λx
0.1 = e^-0.00001 * x
Take the In
−2.302585 = - 0.00001x
2.302585 / 0.00001
= 230258.5
Using the exponential distribution, it is found that:
a) There is a 0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.
b) There is a 0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.
c) There is a 0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.
d) The 90th percentile is of 230,259 hours.
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]
In this problem:
Mean of 100,000 hours, hence, they decay parameter is [tex]\mu = \frac{1}{100000}[/tex]
Item a:
[tex]P(X \leq 10000) = 1 - e^{-\frac{10000}{100000}} = 1 - e^{-0.1} = 0.0952[/tex]
0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.
Item b:
[tex]P(X > 120000) = e^{-\frac{120000}{100000}} = e^{-1.2} = 0.3012[/tex]
0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.
Item c:
[tex]P(X \leq 60000) = 1 - e^{-\frac{60000}{100000}} = 1 - e^{-0.6} = 0.4512[/tex]
[tex]P(X \leq 100000) = 1 - e^{-\frac{100000}{100000}} = 1 - e^{-0.6} = 0.6321[/tex]
[tex]P(60000 \leq X \leq 100000) = P(X \leq 100000) - P(X \leq 60000) = 0.6321 - 0.4512 = 0.1809[/tex]
0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.
Item d:
This is x for which:
[tex]P(X > x) = 0.1[/tex]
Hence:
[tex]e^{-\mu x} = 0.1[/tex]
[tex]e^{-0.00001 x} = 0.1[/tex]
[tex]\ln{e^{-0.00001 x}} = \ln{0.1}[/tex]
[tex]-0.00001 x = \ln{0.1}[/tex]
[tex]x = -\frac{\ln{0.1}}{0.00001}[/tex]
[tex]x = 230259[/tex]
The 90th percentile is of 230,259 hours.
A similar problem is given at https://brainly.com/question/25645425
Indicate the answer choice that best completes the statement or answers the question.
The table shows the cost of long distance calls as a function of the number of minutes used. Is the cost a linear or nonlinear function of the
number of minutes used? Explain.
Number of Minutes 40 |80 120 160 1200
Cost (S)
14.00 8.00 12.00 16.00 120.00
Answer: hold on you didn’t give enough info for this to make sense
Step-by-step explanation:
HELP PLEASE EXPERTS! the question is in the picture
Answer:
B) 6
Step-by-step explanation:÷
The area of a triangle = 1/2 b* h or [tex]\frac{b*h}{2}[/tex]
Line AB = 4
Line AC = 3
Line BC = x
b = 3
since it is at a right angle,
h = 4
[tex]\frac{3*4}{2}[/tex] = 6
Solve the linear system using a table.
7a -b=-1
-4a - 2b = -2
A. (0,0)
B. (0,1)
C. (1,0)
D. (1,1)
Wall-mart had a laptop for $500. Best Buy was selling the same laptop for 15% more. What is price of the laptop at Best Buy?
Answer:
575
Step-by-step explanation:
15% of 500 = 75
500 + 75 = 575
Answer:
$425
Step-by-step explanation:
500*0.15=75
500-75=524
Eber ran 3 miles. He stopped to take a break every {3}{4) mile.How many times did Eber stop, including his final stop at the end of the run?
Answer:
4 times
Step-by-step explanation:
The total model is 3 miles, divided by 3/4 equals the multiplication problem 3/1 times 3/4 but use the reciprocal of 3/4 which is 4/3 so it would be 3/1 times 4/3 which is 12/3 which is equivalent to 4. :)
There are 4 times did Eber stop.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Eber ran 3 miles.
And, He stopped to take a break every 3/4 mile.
Now,
Let number of times stop = x
So, We can formulate;
⇒ 3/4x = 3
⇒ x = 3 × 4 / 3
⇒ x = 12/3
⇒ x = 4
Thus, There are 4 times did Eber stop.
Learn more about the mathematical expression visit:
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#SPJ2
In a Create of 30 eggs
only 60 % is good how many
are bad?
Answer:
In my point of view 40% are bad
Awww please just determine the function equation, y intercept and slope.
Answer:
y = 3x + 45 is the function equation of y intercept and slope.
Demarcus' workout playlist consists of classic rock songs and rap songs.
His playlist contains a total of 47 songs,
Which of the following statements represent the number of classic rock
and rap songs on Demarcus' playlist? Select all that apply.
x+y = 47
24 and 24
43 and 4
x = y + 47
y=-x+ 47
13 and 34
Question 24 of 25
What is the measure of R?
A culture started with 6,000 bacteria. After hours, it grew to 7,200 bacteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number
Answer:
that would be c i had that ques 5 mns ago
Step-by-step explanation:
Answer:
It’s 3600
Step-by-step explanation:
In a study, subjects are randomly assigned to one of three groups: control, experimental A, or experimental B. After treatment, the mean scores for the three groups are compared. The appropriate statistical test for comparing these means is:
Answer:
Analysis of variance
Step-by-step explanation:
The appropriate statistical tool for this is the analysis of variance. The analysis of variance, also known as the ANOVA, is a statistical method which has the ability to separate data from observed variance into various components which is then use for more tests.
The anova gives an analysis of the differences that are in the group means of a sample.
The appropriate statistical test for comparing these means is Analysis of variance.
ANOVA stand for Analysis of variance. It is a statistical models and its associated estimation procedures are used to analyze the differences among means.
It simply provides a statistical test for two or more population to check if the means are equal or not, and therefore generalizes the t-test beyond two means.
Hence, the appropriate statistical test for comparing these means is Analysis of variance.
To know more visit:
https://brainly.com/question/15394749
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer: so 5 out of 5 is like if it said 100 out of 100
soooo the answer is 100% ;)
Step-by-step explanation:
In a particular triathlon the athletes cover 1/24 of the total distance by
swimming, 1/3 of it by running, and the rest by bike. What is the ratio of
the distance covered by bike to the distance covered by running?
Answer:
15/8
Step-by-step explanation:
Let "d" be the total distance, that is, the distance for swimming (s), running (r) and going by bike (b).
d = s + r + b [1]
1/24 of the total distance is covered by swimming.
s = 1/24 d [2]
1/3 of the distance is covered by running.
r = 1/3 d [3]
If we replace [2] and [3] in [1], we get
d = 1/24 d + 1/3 d + b
b = d - 1/24 d - 1/3 d
b = 24/24 d - 1/24 d - 8/24 d
b = 15/24 d = 5/8 d
The ratio of the distance covered by bike to the distance covered by running is:
b/r = (5/8 d)/(1/3 d) = 15/8
Jamie scored an 85% on a test that had 20 questions on it. How many question did she get right? How many questions did she get wrong? PLS ANSWER FASTTT!! :)
Answer:i think it is like 17
Step-by-step explanation:
If three empanadas and two drinks cost $9, and four empanadas and one drink costs $9.50, how much does a drink cost?
Answer:
A drink cost 1.50
Reasoning:
3×2=6
6+1.50=7.50
7.50+1.50=9
4×2=8
8+1.50=9.50
Need help with these following questions
Answer:
there are 13 of them brother from another mother
Select all ordered pairs that satisfy the function y=4x+3.
I suppose that you should have given some pairs to choose from.
Anyway, I can tell you how to do it. Given a pair [tex](a,b)[/tex], you have to substitute [tex]a[/tex] and [tex]b[/tex] to [tex]x[/tex] and [tex]y[/tex] respectively, and see if you get something true.
For example, the pair [tex](1,7)[/tex] satisfies the function, because the substitution yields
[tex]7=4\cdot 1+3[/tex]
which is true. On the other hand, the pair [tex](19,3)[/tex] doesn't satisfy the function, because
[tex]3=4\cdot 19+3[/tex]
is clearly false.
Marshall has $0.34 in dimes and pennies. He has 7 coins altogether. How many coins of each kind does he have?
Dimes are 0.10 each
Pennies are 0.01 each
You need 4 pennies to get the 0.04
Then you would have 3 dimes .
3 x 0.10 = 0.30
4 x 0.01 = 0.04
0.30 + 0.04 = 0.34
Please answer I will give branliest
Answer:
Step-by-step explanation:
assuming that weekends are only sat and sunday
24 students
or
if were assuming that friday is included
30 students
hope this helps <3
Answer:
24 students prefer weekend days C:
Step-by-step explanation:
what is parallel to y=3x+1
you can only use the numbers 3,-2,1,4,-1,0,2,5 and put it in y= x +
Answer:
y=3x+1
Step-by-step explanation:
A parallel line has the same slope as the other line.
y=mx+b, m is the slope
Thus in y=3x+1, m =3
y = 3x + b
plug in points (1, 4) to determine b
4 = 3(1) + b
4 = 3 + b
subtract 3 on both sides
4 - 3 = b
b = 1
y = 3x + 1
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