Answer:
v = pi x r^2 x h
3.14 x 16 x 5 =251.2
hope that answers your question
it is found that 4% of watches produced at a particular factory are defective. If 20 watches made at this factory are randomly selected, what is the probbility that at mpst 1 watch in the same sample is found to be defective
Answer:
0.81 = 81% probability that at most 1 watch in the sample is defective.
Step-by-step explanation:
For each watch, there are only two possible outcomes. Either it is defective, or it is not. The probability of a watch being defective is independent of any other watch, which means that the binomial probability distribution is used to solve this question.
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.
4% of watches produced at a particular factory are defective.
This means that [tex]p = 0.04[/tex]
20 watches made at this factory are randomly selected
This means that [tex]n = 20[/tex]
What is the probability that at most 1 watch in the same sample is found to be defective?
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.04)^{0}.(0.96)^{20} = 0.442[/tex]
[tex]P(X = 1) = C_{20,1}.(0.04)^{1}.(0.96)^{19} = 0.368[/tex]
Then
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.442 + 0.368 = 0.81[/tex]
0.81 = 81% probability that at most 1 watch in the sample is defective.
79
Work out the circumference of this circle.
Take a to be 3.142 and write down all the digits given by your calculator.
14 cm
Answer: 43.988
Step-by-step explanation: The formula for the circumference of a circle is the diameter multiplied by pi. Since the diameter is 14 and it is telling us to use 3.142 as pi, we can multiply the two and get the answer.
Solve the following "two-step" linear equation
6x+3=-1
Answer:
x = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given
6x + 3 = - 1 ( subtract 3 from both sides )
6x = - 4 ( divide both sides by 6 )
x = [tex]\frac{-4}{6}[/tex] = - [tex]\frac{2}{3}[/tex]
13% VAT is levied on a handicraft after 10% discount. If the VAT amount is Rs 910, then find the marked price and selling price of it with VAT.
Answer:
The marked price was $ 7,777.77, and the selling price of it with VAT was $ 7,910.
Step-by-step explanation:
Given that 13% VAT is levied on a handicraft after 10% discount, if the VAT amount is $ 910, to find the marked price and selling price of it with VAT the following calculations must be performed:
13 = 910
100 = X
100 x 910/13 = X
91,000 / 13 = X
7000 = X
0.9 = 7000
1 = X
7000 / 0.9 = X
7,777.77 = X
Therefore, the marked price was $ 7,777.77, and the selling price of it with VAT was $ 7,910.
find the domain and range of y= root x+3
Answer:
I guess this is the correct answer
a study of patients who were overweight found that 53% also had elevated blood pressure. If 3 overweight patients are selected find the probability that all three have elevated blood pressure
Answer:
14.8%
Step-by-step explanation:
53/100*53/100*53/100
It is assumed that the time customers spend in a record store is uniformly distributed between 3 and 12 minutes. Based on this information, what is the probability that a customer will be exactly 7.50 minutes in the record store
Answer:
0% probability that a customer will be exactly 7.50 minutes in the record store.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
The uniform distribution is a continuous distribution, which means that the probability of an exact outcome is zero.
Uniformly distributed between 3 and 12 minutes.
This means that [tex]a = 3, b = 12[/tex]
What is the probability that a customer will be exactly 7.50 minutes in the record store?
Continuous distribution, so:
0% probability that a customer will be exactly 7.50 minutes in the record store.
How many three digit numbers have a 2 as a tens digit??
Answer:
90 numbers
Step-by-step explanation:
Considering the stipulations from the question, the layout for the 3-digit number is:
[tex]\underline{x}\:\underline{2}\:\underline{y}[/tex]
The hundreds digit, [tex]x[/tex], can be any number from 1-9 inclusive, which contains 9 numbers.
The tens digit, 2, is fixed, as stipulated from the problem, and therefore may only be one number, 2.
The ones digit, [tex]y[/tex], can be any number from 0-9 inclusive which gives 10 options.
Therefore, there are [tex]9\cdot 1\cdot 10=\boxed{90}[/tex] three digit numbers that have 2 as a tens digit.
What is the value of y?
9514 1404 393
Answer:
(d) 2
Step-by-step explanation:
The parallel lines divide the transversals proportionally, so we have ...
3y/3 = 2y/y
y = 2 . . . . . . . . . simplify (assuming y ≠ 0)
Joe is four years older than Tim. Ten years ago, Joe was twice as old as Tim. Find their ages now?
Answer:
Joe: 18 years old
Tim: 14 years old
What is the equation of the following line? Be sure to scroll down first to see
all answer options
(8.2)
f(0,0)
O A y = 18x
O B. y = 4x
O C. y = 2x
o D. y = 18x
O E y=-**
o E. y = - 3
Answer:
Step-by-step explanation:
If (8,2) and (0,0) are points on the line, the slope of the line is (2-0)/(8-0) = ¼.
y = ¼x
y = 1/4x is the equation of the line passing through points (0, 0) and (8, 2)
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
slope of line passing through (0, 0) and (8, 2)
m=2/8
=1/4
Now let us find the y intercept in the equation.
2=1/4(8)+b
2=2+b
b=0
So equation will be y=1/4x.
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Help I’ll mark you!!
Answer:
A.
Step-by-step explanation:
Each mark is worth two. We are inbetween the first mark and 0 on the left. Half of two is one. and since we are in the left quadrant we know it to be negative. Looking down, we see that we are exactly one mark down. As a mark is two, ans that we are going down, this will be a negative two. That leaves us with the answer of (-1, -2)
Answer:
A. (-1,-2)
Step-by-step explanation:
just trust me...I promise it right
Find the equation of this line
Answer:
Sorry I can't help you. I can't see the problem.
Step-by-step explanation:
A group of 120 students were surveyed about their interest in a new International Studies program. Interest was measured in terms of high, medium, or low. 30 students responded high interest; 50 students responded medium interest; 40 students responded low interest. What is the relative frequency of students with high interest? A. 30% B. 36.4% C. 25% D. Cannot be determined. Group of answer choices
Answer:
Option C (25%) is the correct answer.
Step-by-step explanation:
Given:
Number of students,
= 120
Students responded high interest,
= 30
Students responded medium interest,
= 50
Students responded low interest,
= 40
Now,
The relative frequency will be:
= [tex]\frac{30}{120}[/tex]
= [tex]0.25[/tex]
or,
= [tex]25[/tex]%
What is the value of cosθ given that (−2, 9) is a point on the terminal side of θ ? 985√85 −985√85 285√85 −285√85
Answer:
−2√85/85
Step-by-step explanation:
The required value of the cosθ is −2√85/85. Option D is correct.
Given that,
The value of cosθ given that (−2, 9) is a point on the terminal side of θ is to be determined.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
here,
horizontal run b = -2, vertical rise p = 9
Slant height,
h = √ -[2]² + [9]²
h = √4 + 81
h = √85
Now,
cosθ = b / h
cosθ = -2 / √85
cosθ = -2 √85/85
Thus, the required value of the cosθ is −2√85/85. Option D is correct.
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If it costs $3.50 per square foot, what is the approximate total cost of making this
pipe that is open at both ends?
K.
30
기
A $210.00
B $659.40
C $340.69
D $681.38
Answer:
the right answer would be C
Answer:
Step-by-step explanation:
You first need to find the surface area of a completely open cylinder. That formula is
[tex]SA=2\pi rh[/tex] Using 3.14 for π, we find the area of the material that is needed to make this pipe:
SA = 2(3.14)(1)(30)
SA = 188.49 square feet.
If it costs $3.50 per square foot and you have 188.9 square feet, we multiply the cost per square foot times the number of square feet:
188.49(3.50) = $659.40, choice B.
Which expression is equivalent to cos120°?
The expression cos240 degrees is equivalent to cos120 degrees
Answer: B. cos240°
Step-by-step explanation:
Took the Test/Exam on Edge
What is the area of the given triangle? Round to the nearest tenth
Answer:
28.0125 cm^2 rounded to 28.0 cm^2
Step-by-step explanation:
Area = a*b*sin(c)*1/2
Area = 7 * 13 * sin(38) * 1/2
Area = 91/2 * 0.61566...
Area = 28.0125...
Alex and Morgan or ask to solve 2x-5=5x+7+3x X equal 5
Answer:
no solution?
Step-by-step explanation:
2(5)-5=5(5)+7+3(5) <-- plug in 5
10−5=25+7+15
5=32+15
5=47
if the average of b and c is 8, and d=3b-4, what is the average of c and d in terms of b?
[tex] \underline{ \huge \mathcal{ Ànswér} } \huge: - [/tex]
Average of b and c is 8, that is
[tex]➢ \: \: \dfrac{b + c}{2} = 8[/tex]
[tex]➢ \: \: b + c = 16[/tex]
[tex]➢ \: \: c = 16 - b[/tex]
now let's solve for average of c and d :
[tex]➢ \: \: \dfrac{c + d}{2} [/tex]
[tex]➢ \: \: \dfrac{16 - b + 3b - 4}{2} [/tex]
[tex]➢ \: \: \dfrac{12 + 2b}{2} [/tex]
[tex]➢ \: \: \dfrac{2(6 + b)}{2} [/tex]
[tex]➢ \: \: b + 6[/tex]
Therefore, the average of c and d, in terms of b is : -
[tex] \large \boxed{ \boxed{b + 6}}[/tex]
[tex]\mathrm{✌TeeNForeveR✌}[/tex]
Answer:
b+6
Problem:
If the average of b and c is 8, and d=3b-4, what is the average of c and d in terms of b?
Step-by-step explanation:
We are given (b+c)/2=8 and d=3b-4.
We are asked to find (c+d)/2 in terms of variable, b.
We need to first solve (b+c)/2=8 for c.
Multiply both sides by 2: b+c=16.
Subtract b on both sides: c=16-b
Now let's plug in c=16-b and d=3b-4 into (c+d)/2:
([16-b]+[3b-4])/2
Combine like terms:
(12+2b)/2
Divide top and bottom by 2:
(6+1b)/1
Multiplicative identity property applied:
(6+b)/1
Anything divided by 1 is that anything:
(6+b)
6+b
b+6
Find on x on this triangle
Answer: correct answer is B.
Step-by-step explanation:
in the small triangle
taking 60 as reference angle
b = [tex]10\sqrt{3}[/tex]
so
tan 60 = p/b
[tex]\sqrt{3}[/tex] = p/([tex]10\sqrt{3}[/tex])
30 = p
so
[tex]h^2 = p^2 + b^2\\ = 30^2 + (10\sqrt{3} )^2\\\\ = 900 + 300\\ = 1200\\so h^2 = 1200\\then, h = \sqrt{1200} \\ = 20\sqrt{3} \\so\\in bigger triangle\\\\h = x[/tex](taking 45 as reference angle)
so
in bigger triangle
b = 20[tex]\sqrt{3}[/tex]
so
tan 45 = p/b
1 = p/(20[tex]\sqrt{3}[/tex])
p = 20[tex]\sqrt{3}[/tex]
so h^2 = p^2 + b^2
so
h^2 = (20[tex]\sqrt{3}[/tex])^2 +( 20[tex]\sqrt{3}[/tex])^2
= 1200 + 1200
h^2 = 2400
h =[tex]\sqrt{2400}[/tex]
=20[tex]\sqrt{6}[/tex]
so x = 20[tex]\sqrt{6}[/tex]
solve -3x+2y=-6 -2x+y=6 using substitution
Answer:
See below
Step-by-step explanation:
-3x+2y = -6 [1]
-2x + y = 6 [2]
For [1], solve for X.
-3x + 2y = -6
-3x = -6 - 2y
3x = 6 + 2y
x = 2 + (2/3)y
Plug x into [2]
-2(2+(2/3)y) + y = 6
-4 - 4/3y + y= 6
-4/3y + y= 10
-1/3y = 10
y = -30
9514 1404 393
Answer:
(x, y) = (-18, -30)
Step-by-step explanation:
When choosing to solve by substitution, it is convenient if one of the variables has a coefficient of 1 or -1. Here, y has a coefficient of 1 in the second equation, making it easy to rearrange that equation to give an expression for y:
y = 2x +6 . . . . . add 2x to the second equation
Using this expression, we can substitute for y in the first equation:
-3x +2(2x +6) = -6
x + 12 = -6 . . . . . . . . . simplify
x = -18 . . . . . . . . . . . subtract 12
y = 2(-18) +6 = -30 . . . . substitute into the equation for y
The solution is (x, y) = (-18, -30).
Two classes have a total of 50 students. One of the classes has 6 more students than the other. How many students are in the larger class.
14
19
28
31
Answer:
28 are in the larger class.
Step-by-step explanation:
50/2 = 25 xy
25+ 3 = 28 larger
25-3 = 22 smaller
x = 28
The larger class has 28 students, and the correct option is 28.
Let's assume the number of students in one class is x.
According to the given information, the other class has 6 more students than this class, which means the number of students in the other class is x + 6.
To find the total number of students, we add the number of students in both classes: x + (x + 6) = 50.
Combining like terms, we have: 2x + 6 = 50.
Next, we subtract 6 from both sides of the equation: 2x = 44.
Finally, we divide both sides of the equation by 2 to solve for x: x = 22.
So, there are 22 students in one class, and the other class has 22 + 6 = 28 students.
Therefore, the larger class has 28 students, and the correct option is 28.
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The perimeter of rectangle is 36 cm.If it's breadth is half of it's breadth is half of it's length then find it's dimension.And explain it.
Answer: 12 x 6
Step-by-step explanation:
36/2=18
3x=18
x equal 6
6x2=12 as it is two times
whats the correct answer?
Answer:
its the 4 one
Step-by-step explanation:
In how many ways can a committee of 3 men and 4 boys be chosen from 7 men and 6 boys so as not to include the youngest boy if the eldest man is serving?
Answer:
There are 75 ways to form the committee.
Step-by-step explanation:
The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[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]
In this question:
Considering the eldest has to be there, 2 men from a set of 6 and 4 boys from a set of 5(excluding the youngest), so:
[tex]T = C_{6,2}C_{5,4} = \frac{6!}{2!4!} \times \frac{5!}{1!4!} = 3*5*5 = 75[/tex]
There are 75 ways to form the committee.
Can someone help me find the answer to this question ?
Answer:
B. x ≤ 1 or x > 6
Step-by-step explanation:
Subtract 8 and divide by 2. (Same steps for both inequalities.)
2x +8 ≤ 10
2x ≤ 2
x ≤ 1
__
2x +8 > 20
2x > 12
x > 6
The solution is x ≤ 1 or x > 6.
If a quadrilateral is a square, then all sides are the same. What part is the conclusion
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
1. >
2. <
3. =
4. <
Step-by-step explanation:
23.197 > 23.179
3 2/10 which is the same as,
3.2 < 3.243
30.423 = 30 423/1000
18.546 < 18 56/100
Find the measure of the indicated angle. (Round to 2 decimal places if necessary)
9
?
21
