Answer:
The sample mean of failure time was of 49 hours.
The standard deviation of the failure time was of 11.7 hours.
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]\overline{x} = \frac{34+40+46+49+61+64}{6} = 49[/tex]
The sample mean of failure time was of 49 hours.
Standard deviation:
Square root of the division between the sum of the differences squared betweene each value and the mean, divided by the sample size subtracted by 1. So
[tex]s = \sqrt{\frac{(34-49)^2+(40-49)^2+(46-49)^2+(49-49)^2+(61-49)^2+(64-49)^2}{5}} = 11.7[/tex]
The standard deviation of the failure time was of 11.7 hours.
Find the average rate of change of f(x) = -x² + 5x+2 from x=3 to x=6.
Simplify your answer as much as possible.
HELP ASAP PLEASE
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Answer:
-4
Step-by-step explanation:
The points at the ends of the interval are ...
(3, f(3)) = (3, 8)
(6, f(6)) = (6, -4)
The slope is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -8)/(6 -3) = -12/3 = -4
The average rate of change is -4.
please help. is due today. Thank you
Answer:
Step-by-step explanation:
take 22 degree as reference angle
using cos rule
cos 22=adjacent/hypotenuse
0.92=56/x
x=56/0.92
x=60.86
x=60.9
Hey does anyone know how to solve this need an answer quickly
The principal is Rs.30,000 the interest rate is 12%. Calculate the total value after 2 year
using compound interest.
Answer:
37632
Step-by-step explanation:
An=A(1+12%)²
100-19+20+200= what is the answer for this question
Answer:
301
Step-by-step explanation:
Heres ow you do it,
1- 100-19= 81
2- 81+20= 101
3- 101+200= 301
Hope this helps!!! :)
Find the center and radius of the circle whose equation is given below: (x-1/2)2+(y-6)2=5
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Answer:
center: (1/2, 6)
radius: √5
Step-by-step explanation:
The standard form equation for a circle of radius r and center (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
When we compare this to the given equation:
(x -1/2)^2 +(y -6)^2 = 5
we see that h=1/2, k=6, and r^2=5.
The center is (h, k) = (1/2, 6); the radius is √5.
What is the mean of the following numbers?
x-3a,x-2a,x-a,x,x+a
Answer:
x-a
Step-by-step explanation:
Mean=sum of data /no of data
=x-3a+x-2a+x-a+x+x+a/5
=5x-5a/5
=5(x-a)/5
=x-a
You have land that you would like to use to create two distinct fenced-in areas in the shape given below. You have 410 meters of fencing materials to use. What values of x and y would result in the maximum area that you can enclose
Answer:
[tex]x = \frac{205}{3}[/tex]
[tex]y =\frac{195}{4}[/tex]
Step-by-step explanation:
Given
[tex]p = 410[/tex] --- perimeter
See attachment for fence
Required
x and y
The perimeter of the fence is:
[tex]p = 2(x + y +5 + y) +x[/tex]
Open bracket
[tex]p = 2x + 2y +10 + 2y +x[/tex]
Collect like terms
[tex]p = 2x+x + 2y + 2y+10[/tex]
[tex]p = 3x + 4y+10[/tex]
Substitute: [tex]p = 410[/tex]
[tex]3x + 4y+10 =410[/tex]
Make 4y the subject
[tex]4y =410-10-3x[/tex]
[tex]4y =400-3x[/tex]
Make y the subject
[tex]y =\frac{400-3x}{4}[/tex]
The area (A) of the fence is:
[tex]A = (y + y + 5) * x[/tex]
[tex]A = (2y + 5) * x[/tex]
Substitute: [tex]y =\frac{400-3x}{4}[/tex]
[tex]A = (2*\frac{400-3x}{4} + 5) * x[/tex]
[tex]A = (\frac{400-3x}{2} + 5) * x[/tex]
Take LCM
[tex]A = (\frac{400-3x+10}{2}) * x[/tex]
Solve like terms
[tex]A = (\frac{410-3x}{2}) * x[/tex]
Open bracket
[tex]A = \frac{410x-3x^2}{2}[/tex]
Remove fraction
[tex]A = 205x-1.5x^2[/tex]
Differentiate both sides
[tex]A' = 205 - 3x[/tex]
To maximize; set [tex]A' =0[/tex]
[tex]205 - 3x =0[/tex]
Solve for 3x
[tex]3x = 205[/tex]
Solve for x
[tex]x = \frac{205}{3}[/tex]
Recall that: [tex]y =\frac{400-3x}{4}[/tex]
So, we have:
[tex]y =\frac{400-3*205/3}{4}[/tex]
[tex]y =\frac{400-205}{4}[/tex]
[tex]y =\frac{195}{4}[/tex]
I'm kinda lost here, what do I do when the quadrant is given? CanI have some of these solved at least with steps?
Answer:
See Explaination
Step-by-step explanation:
According To Question
In Quadrant-1 (0* to 90*) ( All the Trignometry Functions are Positive )In Quadrant-2 (90* to 180*) (Only Sine & Cosecant are Positive)In Quadrant-3 (180* to 270*) (Only Tangent & Cotangent Are Positive)In Quadrant-4 (270* to 360*) ( Only Cosine & Secant Are Positive)(Diagram, Please Find In Attachment)
Question 38 . Cos ∅ = 12/13 ∅ in Quadrant-4(Where only Cos & Sec are Positive all other Functions Are Negative in this Quadrant)
Now ∅ Represent a Right Angle Triangle with Base=12 Perpendicular=5 & Hypothenese=13
other Five Trignometry Functions Are as FollowSin∅ = -5/13 , Cosec∅=-13/5 , Tan∅=-5/12 , Cot∅=-12/5 & Sec∅=13/12
Question 39 . SinX=-3/4 X Lies in Quadrant-3(Where only Tan & Cot are Positive all other Functions Are Negative in this Quadrant)
Now For Other Trignometry FunctionsFind By Using Basic Formulas
[tex]SinX^{2}+CosX^{2}=1[/tex] ↔ Put Value of Sin∅=-3/4
We get CosX= ±[tex]\frac{\sqrt{5} }{4}[/tex] (but X Lies in Quadrant-3 Where Cosine Is Negative , So Neglect CosX= +[tex]\frac{\sqrt{5} }{4}[/tex])
So CosX= -[tex]\frac{\sqrt{5} }{4}[/tex] ...... now you get the point . All Questions Will Solve like This .
I’ll give brainliest if you answer this right
Answer:
$16 per hour
Step-by-step explanation:
He earns $16 per hour as shown in the figure
A 32 inch computer monitor is shown what is the height of the screen in inches?
Answer:
16 inches
Step-by-step explanation:
32 divided by 2
What set or sets does negative squareroot of 20 belong to? is it a real number, rational, integer, whole number, irrational, or natural?
Answer:
Real number and Irrational number
Step-by-step explanation:
Given
[tex]-\sqrt{ 20[/tex]
Required
The set it belongs to
First, solve the expression
[tex]-\sqrt{ 20} = -4.472136[/tex]
The above number is not an integer and it is not whole or natural because it has decimal points
It is not a rational number because it cannot be expressed as a simple fraction
However, the number can be categorized as either irrational or real because of the level of the decimal point in the result
A random sample of 432 voters revealed that 100 are in favor of a certain bond issue. A 95 percent confidence interval for the proportion of the population of voters who are in favor of the bond issue is A 100 + 1.96 0.5(0.5) 432 100 + 1.645 0.5(0.5) 432 100 + 1.96 0.231(0.769) 432 0.231 +1.96 0.231(0.769) 432 0.231(0.709) 0.231 +1.6451 432
Answer:
The 95% confidence interval is [tex]0.231 \pm 1.96\sqrt{\frac{0.231*0.769}{432}}[/tex]
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
A random sample of 432 voters revealed that 100 are in favor of a certain bond issue.
This means that [tex]n = 432, \pi = \frac{100}{432} = 0.231[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Confidence interval:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.231 \pm 1.96\sqrt{\frac{0.231*0.769}{432}}[/tex]
The 95% confidence interval is [tex]0.231 \pm 1.96\sqrt{\frac{0.231*0.769}{432}}[/tex]
Please help image attached
A) is -4 a solution to this inequality
B) choose the correct inequality
4. If a =15yds. and the hypotenuse c = 17 yds., what is the value of the leg b?
5. If b = 40 mi. and the hypotenuse c = 50 mi., what is the value of leg a?
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Answer:
4. 8 yds
5. 30 mi
Step-by-step explanation:
The relation according to the Pythagorean theorem is ...
c² = a² + b²
This can be solved for 'a' or 'b' to get ...
a = √(c² -b²)
b = √(c² -a²)
__
4. b = √(17² -15²) = √(289 -225) = √64 = 8
The length of leg b is 8 yards.
__
5. a = √(50² -40²) = √(2500 -1500) = √900 = 30
The length of leg 'a' is 30 mi.
_____
Additional comment
You may recognize the relevant Pythagorean triples as (3, 4, 5) and (8, 15, 17). A few others that are often seen are (5, 12, 13), (7, 24, 25) and (9, 40, 41). Any of these can be multiplied by some factor, as the (3, 4, 5) triple is in problem 5.
You randomly select two poker chips from a bag containing 7 poker chips: 4 red, 1 blue, 1 green, and 1 white. Consider the following events:
Event A: You select a green poker chip
Event B: You select a white poker chip.
Determine whether the following statement is True or False: Events A and B are statistically independent.
Answer:
P[You select a green poker chip] = 1/7
P[You select a white poker chip] = 1/7
Step-by-step explanation:
Given:
Number of chips beg contain = 7 chips
Number of red chips = 4 chips
Number of blue chips = 1 chips
Number of green chips = 1 chips
Number of white chips = 1 chips
Find:
Event A: You select a green poker chip
Event B: You select a white poker chip
Computation:
P[You select a green poker chip] = Number of green chips / Number of chips beg contain
P[You select a green poker chip] = 1/7
P[You select a white poker chip] = Number of white chips / Number of chips beg contain
P[You select a white poker chip] = 1/7
Chau is going to the airport. It is 5:46 p.m. right now. Chau Flight will depart and 3 hours 41 minutes what is the departure time of his flight
Evaluate n^2 -m. If you n=-5 and m=3
Answer:
22
Step-by-step explanation:
n² - m =
-5² - 3 =
25 - 3 = 22
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
22
Step-by-step explanation:
(-5)^2- 3
two negatives make a positive which would be 25 then minus the 3
=25-3
then you get your total
=22
There are 15 books on a shelf. 9 of these books are new. The rest of them are used. what is the ratio of all books
Answer:
a)15:6 b)2:3
Step-by-step explanation:
No. of used books=15-9=6
a) 15:6
b)
6:9
2:3
why 13/3hr and 4hr are equal?
Answer:
13/3 = 4 1/3 which when rounded is 4hrs
As 4.3/4 = 1.075 = 1 unit and not 2
Step-by-step explanation:
13/3 = 4.33333333 and rounded down = 4 hrs
A tourist shop earns a 20% profit on all sale of flip-flops. If the total in flip-flop sales was $1,280. What is the profit?
Answer:
profit is 256 dollars
Step-by-step explanation:
20% of 1,280 is 256 dollars
Which of the following shows an element of the sample space for first
tossing a coin and then rolling a number cube?
The point P lies on the unit circle, making an angle of measure theta with the positive x-axis.
Use the cosine and sine functions to express the exact coordinates of P in terms of angle theta
Answer:
[tex]Horizontal -distance= cos\theta\\Vertical -distance= sin\theta\\P(cos\theta, sin\theta)[/tex]
Step-by-step explanation:
[tex]Horizontal -distance= cos\theta\\Vertical -distance= sin\theta\\P(cos\theta, sin\theta)[/tex]
The x-coordinate will be cosθ and the y-coordinate will be sinθ.
What are polar coordinates?Polar coordinates are a two-dimensional coordinate system in which each point on a plane is determined by a distance from a fixed point called the pole and an angle from a fixed direction called the polar axis.
The distance from the pole is called the radial coordinate or radius, denoted by "r", and the angle is called the angular coordinate or polar angle, denoted by "θ".
Polar coordinates are often used in situations where the Cartesian coordinates (x, y) are not convenient, such as in polar graphs, 3D coordinate systems, and certain physics and engineering applications.
For the point P, the coordinates will be,
x-coordinate: cosθ
y-coordinate: sinθ
To know more about polar coordinates follow
https://brainly.com/question/22810698
#SPJ2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A company manufactures CD drives that have a 1.6% chance of experiencing disc-read errors. If a CD drive is tested for 250 read operations, the number of times it may fail is
Answer:
The answer is 4.
Step-by-step explanation:
Multiply 250 with 1.6%. 1.6% is also written as 0.016.
So pretty much you multiply 250 with 0.016 and you get 4.
Convert the equation into Slope Intercept form (y=mx+b).
9y = -3x + 5
Answer:
y = -⅓ X + 5/9
slope = - ⅓
...
Answer:
slope intercept form is: (That is in the first pic)
y= - 1/3x + 5/9
slope = - 1/3
Step-by-step explanation:
See image below:) Hope this helps
Write the slope intercept form of the equation of the line through the given point with the given slope. Through (-5 -2) slope -3/5.
Write the slope intercept form of the equation of the line through the given pointS
Through (2 -1) and (5,5)
Answer:
y = -3/5 × -5 - 2y = 2 × -1 + 2Step-by-step explanation:
#1
y = mx + bm = -3/5, x = -5, b = -2, y = yput in correct order#2
(2, -1) - (5,5) = 6/3 = 2/1 = 2 (remember, y is over x. The formula is y2 - y1 / x2 - x1)Pick either point given (2, -1) or (5, 5)Plug the point iny = y, m = 2, x = 2, b = -1Put in order#1
Equation in point slope form
y-y_1=m(x-x_1)y+2=-3/5(x+5)y=-3/5x-3-2y=-3/5x-5That's also slope intercept form
#2
Slope
m=(5+1)/5-2)m=6/3m=2Equation in point slope
y+1=2(x-2)y+1=2x-4y=2x-5Which function, g or h, is the inverse function for function f?
Answer:
first option
imagine the line y = x as a mirror
Answer:
The answer is A. "the function h because the graphs of ƒ and h are symmetrical about the line y = x"
What two numbers add to 7 and multiply to -44
Answer:
The numbers are 11 and -4
Step-by-step explanation:
Given
Let the two numbers be [tex]x[/tex] and [tex]y[/tex]
such that:
[tex]x + y = 7[/tex]
[tex]x*y = -44[/tex]
Required
Find x and y
Make y the subject in: [tex]x + y = 7[/tex]
[tex]y = 7 - x[/tex]
Substitute [tex]y = 7 - x[/tex] in [tex]x*y = -44[/tex]
[tex]x(7-x) = -44[/tex]
Open bracket
[tex]-x^2 +7x = -44[/tex]
Rewrite as:
[tex]x^2 -7x -44=0[/tex]
Expand
[tex]x^2 +4x-11x -44=0[/tex]
Factorize
[tex]x(x +4)-11(x +4)=0[/tex]
Factor out x + 4
[tex](x -11)(x +4)=0[/tex]
Solve for x
[tex]x =11; x =-4[/tex]
Recall that:
[tex]y = 7 - x[/tex]
So:
[tex]y = 7-11 = -4[/tex]
or
[tex]y = 7--4 = 11[/tex]
Find the area of the shaded religion.
Giving brainliest! <3
Answer: 240 feet
Step-by-step explanation:
What you could do is find the area of the whole thing. 12x25 is 300. Then, you can find the area of the white part, which is 60, because you multiply 12x5. then, you would subtract 60 to 300, which would get you to 240 feet.
Answer:
The answer is : 240cm² for the shaded part
The unshaded part is = 60cm²
The whole rectangle = 300cm²
Step-by-step explanation:
Area is = WL
W = width (while the) L= length
The Area = 25 × 12 = 300
The area of the full rectangle is = 300
The unshaded part is = 5 × 12 = 60
So the shaded part is = 300 - 60 = 240cm²
[tex]so \: the \: answer \: is \: = 240cm^{2} [/tex]
You are saving to buy a speed boat. Starting today, you will put $1,000 into an investment account. Each month thereafter, your contribution will be .1% (.001) higher than the month before, so that your contribution next month will be .1% higher than today, and so forth and so on. The investment account has a periodic monthly interest rate of .4% (.004). Ignore taxes. You will make contributions until 5 years from today.
At the end of five years, when you put in your last contribution, how much will you have saved?
Answer:
You will have saved $69,612 after five years.
Step-by-step explanation:
This can be calculated using the for formula for calculating the future value of a growing annuity as follows:
FV = C * (((1 + r)^n - (1 + g)^n) / (r - g)) ……………………………………… (1)
Where;
FW = future value or amount you will have saved after five years = ?
C = first deposit = $1,000
r = periodic monthly interest rate of = 0.4%, or 0.004
g = growth rate of contribution = 0.1%, or 0.001
n = number of months = 5 years * 12 = 60
Substituting all the values into equation (1), we have:
FV = $1,000 * (((1 + 0.004)^60 - (1 + 0.001)^60) / (0.004 - 0.001))
FV = $1,000 * 69.612001854052
FV = $69,612.00
Therefore, you will have saved $69,612 after five years.