Answer:
Hence, the probability of a successful site is :
[tex]P(\text{succes sites})=\frac{8}{9}=89\%[/tex]
Step-by-step explanation:
Given :
[tex]7[/tex] of the [tex]14,XYZ[/tex] sites have had [tex]95\%[/tex] or higher widget production success rate in the last month
To find :
The probability that a successful site will be selected.
We can select either of [tex]8[/tex] sites out of [tex]9[/tex].
These [tex]8[/tex] sites can be selected in [tex]8[/tex] ways.
Total sites[tex]=9[/tex]
Therefore, the probability of a successful site is :
[tex]P(\text{succes sites})=\frac{8}{9}=89\%[/tex]
A manufacturer reports that the mean lifetime of its lithium batteries is 1100 hours, but there are customer complaints that the battery life is lower. A consumer advocate group selects 25 of these batteries at random and finds the mean lifetime to be 1080 hours with a standard deviation of 80 hours. The sample data are approximately symmetric and unimodal with no outliers. Check conditions, show how the test statistic is calculated. Test using a 10% significance level. State your conclusion in the context of the problem.
Answer:
The p-value of the test is 0.1117 > 0.1, which means that there is not significant evidence at the 10% significance level that the battery life is lower than 1100 hours.
Step-by-step explanation:
A manufacturer reports that the mean lifetime of its lithium batteries is 1100 hours, but there are customer complaints that the battery life is lower.
At the null hypothesis, we test that the mean lifetime of the battery is of 1100 hours, that is:
[tex]H_0: \mu = 1100[/tex]
At the alternate, we test that is is lower, that is:
[tex]H_a: \mu < 1100[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
1100 is tested at the null hypothesis:
This means that [tex]\mu = 1100[/tex]
A consumer advocate group selects 25 of these batteries at random and finds the mean lifetime to be 1080 hours with a standard deviation of 80 hours.
This means that [tex]n = 25, X = 1080, s = 80[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1080 - 1100}{\frac{80}{\sqrt{25}}}[/tex]
[tex]t = -1.25[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean below 1080, which is found using a left-tailed test for t = -1.25, with 25 - 1 = 24 degrees of freedom.
With the help of a calculator, this p-value is of 0.1117
The p-value of the test is 0.1117 > 0.1, which means that there is not significant evidence at the 10% significance level that the battery life is lower than 1100 hours.
What is the perimeter of this shape? Use numbers only. *
Answer:
13
Step-by-step explanation:
The perimeter is all of the sides added together. Because this is a rectangle, the length and width are the same on both sides. They gave you the length and width, so just add them:
4 + 4 + 2.5 + 2.5 = 13.
So the perimeter of the shape is 13.
Answer:
13 m
Step-by-step explanation:
2.5 + 4 + 2.5 + 4
2.5 + 2.5 + 8
5 + 8
13
What is the place value of 9 in the number 8.0231497?
Answer:
Tens
Step-by-step explanation:
it’s really easy if you know your place values just go ones,tens,hundreds,thousands and keep going but the answer is tens place.
Does anyone know what the monthly payment is?:/
====================================================
Explanation:
The formula given is
[tex]M = \frac{P*\left(\frac{r}{12}\right)*\left(1+\frac{r}{12}\right)^{12*t}}{\left(1+\frac{r}{12}\right)^{12*t}-1}\\\\[/tex]
which to be honest is a big ugly mess of variables. The fractions also make things even more messy. Through trial and error, you can find various ways to help clean up the formula.
Notice how the "r/12" seems to show up a lot. Let's replace that fraction with the variable A.
So we'll make A = r/12
Because of that, the expression [tex]\left(1+\frac{r}{12}\right)^{12*t}[/tex] turns into [tex]\left(1+A\right)^{12*t}[/tex]
After replacing all the "r/12" terms with "A", we have the formula
[tex]M = \frac{P*\left(\frac{r}{12}\right)*\left(1+\frac{r}{12}\right)^{12*t}}{\left(1+\frac{r}{12}\right)^{12*t}-1}\\\\[/tex]
turn into
[tex]M = \frac{P*A*\left(1+A\right)^{12*t}}{\left(1+A\right)^{12*t}-1}\\\\[/tex]
which is a bit simpler in my opinion.
------------------
We could also let
B = (1+A)^(12t)
which would then allow us to go from this
[tex]M = \frac{P*A*\left(1+A\right)^{12*t}}{\left(1+A\right)^{12*t}-1}\\\\[/tex]
to this
[tex]M = \frac{P*A*B}{B-1}\\\\[/tex]
and that's even more simple
---------------------
We're given the following values
P = 75,000 = amount loanedr = 0.023 = annual interest rate in decimal formt = 10 = number of yearsBased on those values, we can say
A = r/12 = 0.023/12 = 0.00191667 approximatelyB = (1+A)^(12*t) = (1+0.00191667)^(12*10) = 1.25832348 approximatelyFrom here, we plug the values of P, A, and B into the simplified version of the formula below.
[tex]M = \frac{P*A*B}{B-1}\\\\M \approx \frac{75000*0.00191667*1.25832348}{1.25832348-1}\\\\M \approx \frac{180.88431483087}{0.25832348}\\\\M \approx 700.22405563\\\\M \approx 700.22\\\\[/tex]
The monthly payment is roughly $700.22
Which description can be written as the expression StartFraction n Over 4 EndFraction minus 13?
Answer:
Step-by-step explanation:
k
a nwuni, cherit and Orman entered into a business
patnership nouni contributed 14 of the engiten
Cherit vin cand Orman /10.11 yo
capital was uned for row materials, find the
Fraction of the capital that remained for othape
SOMEONE HELP AS SOON AS POSSIBLE!!!! please:))
Please help me I’m trying to pass and I don’t know what to do
Answer:
1/2 of an answer is zero answer.
Step-by-step explanation:
yeah :)
Answer:
- 3
Step-by-step explanation:
[tex]f(x) = \sqrt{x + 1} \\ plug \: x = 0 \\\therefore f(0) = \sqrt{0 + 1} \\\therefore f(0) = \sqrt{1} \\ \therefore f(0) =1 \\ \\ g(x) = 2x - 5 \\ plug \: x = f(0) \\ \therefore g( f(0)) = 2 f(0)- 5 \\ \therefore g( f(0)) = 2 (1) - 5 \\\therefore g( f(0)) = 2 - 5 \\ \\ \huge \red {g( f(0)) = \boxed {- 3} }[/tex]
Right circular cylinder has volume and radius. Right circular cylinder is similar to cylinder and has volume. Find the radius of cylinder.
Answer: where’s the picture
Step-by-step explanation:
Hum
Active ingredient of a pill comprises 45% of the pill mass. If a pill contains 325 mg of active ingredient,
what the total mass of the pill?
Answer:
Step-by-step explanation:
The idea here is to be able to write and then solve the equation needed for this. In words, this is what you are looking to solve: "The active ingredinet is 45% of the mass of the pill". Putting those words into an equation:
active ingredient = .45 (mass of pill). Since our active ingredient is 35 mg:
325 = .45m and divide by .45:
m = 722.2 mg
Putting soil is sold in bags that contain 1/2 cubic foot of soil. Estimate how many bags Rylee should buy.
9514 1404 393
Answer:
11 bags
Step-by-step explanation:
12. As you noted in problem 11, the volume needed to fill the three pots is 5.05 cubic feet. The number of bags needed is ...
(5.05 ft³)/(0.5 ft³/bag) = 10.1 bags
10 bags is not quite enough. Rylee should buy 11 bags of potting soil.
_____
Additional comment
As a practical matter, the difference between what Rylee needs and what is contained in 10 bags is about 1%. It would be very difficult to tell that 0.1 cubic foot is missing if Rylee simply used the contents of 10 bags. If Rylee purchases 11 bags, most (4/5) of the last bag will remain unused.
Please answer correctly with factual information for brainliest.
Answer:
I would say 54 units (sorry if I'm wrong)
Simplify 14 divide by 2+5 x 4
Answer:
27
Step-by-step explanation:
14/2+5 x 4
7+20
27
Answer:
27
Step-by-step explanation:
14 divided by 2 + 5 x 4
5 x 4 first (pemdas)
5 x 4 is 20
14 / 2 = 7
7 + 20 = 27
if you don’t know pemdas it’s:
p arenthases
e xponents
m ultiply
d ivide
a dd
s ubtract
someone please help, will reward brainliest!!
Answer:
Step-by-step explanation:
-7m-8=m-4
HELP ME PLEASEEEEEEEEEEEE
Answer:
120
Step-by-step explanation:
multiply 10 times 24
then divide 240 by 2
Joe, working alone, takes 8 hours to mow a lawn. Sally, working alone, can mow the same lawn in 6 hours. How long does it take them together to mow the lawn (each using their own seperate mower)?
Answer: 3 3/7 hours
Step-by-step explanation:
you need to find out how much work they can do in an hour.
let x represent the total collaborative work
1/8 + 1/6 = 1/x
3/24 + 4/24 = 1/x
7x = 24
x = 24/7 or 3 3/7 hours (in decimal form this is 3.4286)
I cannot guarantee this is correct but hope it helped
plz help i will give brainliest and i will report you if you post a link
Answer:
$11,640
Step-by-step explanation:
What are the zeros of the function f(x) = (x + 5)(2x-3)?
O A. x=-5 and x = 8
O B. x = -5 and x = 4
O C. x = 5 and x = -8
O D. x = 5 and x = -4
A) Find the 15th term of a linear sequence (AP) whose 5th term is 30 and 20th term is
75.
B) The second and the fourth terms of an exponential sequence (GP) of positive terms
are 9 and 4 respectively. Find
D) The common ratio;
i) The first term
2. Solve for x and y in the following equations: 2(x+4y) = 1.22+8y
Answer:
A) 60
B) Common ratio, r, = 2/3
The first term, a, = 13.5
Step-by-step explanation:
A)
The formula for the nth term of a linear sequence is an+b. So we can say:
30=5a+b
75=20a+b
which means
b=30-5a
b=75-20a
30-5a=75-20a
15a=45
a=3
30=5(3)+b
b=30-15=15
So our formula is 3n+15. Sub in 15 for n to find the 15th term: 3(15)+15=45+15=69
B)
The formula for the nth term of an exponential sequence is arⁿ⁻¹, where a is the first term of the sequence and r is the common ratio. Therefore we can say: 9=ar, and 4=ar³, which means a=9/r and a=4/r³
9/r=4/r³
9r³=4r
9r²=4
r=√(4/9)=2/3
9=a(2/3)
a=27/2=13.5
Is the relation a function? Why or why not?
Find the circumference of each circle with a diameter of 20 feet. use 3.14 as an estimate for pi
Answer:
62.8ft
Step-by-step explanation:
circumference= pie x diameter
pie=3.14
diameter=20ft
c=3.14 x 20ft
=62.8ft
Mr. Litterski creates a ball from rubber bands.
The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit. HELP PLEASE!!
Answer:
The surface area of the ball is of 29 square inches.
The volume of the ball is of 15 cubic inches.
Step-by-step explanation:
The ball has an spherical format:
Circumference of a sphere:
The circumference of a sphere is 6.2832 times the radius.
Surface area
[tex]A = 4\pi r[/tex]
In which r is the radius.
Volume:
[tex]V = \frac{4\pi r^3}{3}[/tex]
The circumference of the ball is 9.4 inches.
So the radius is:
[tex]6.2832r = 9.4[/tex]
[tex]r = \frac{9.4}{6.2832} = 1.53[/tex]
Surface area
[tex]A = 4\pi(1.53)^2 = 29.3[/tex]
Rounding to the nearest unit, the surface area of the ball is of 29 square inches.
Volume:
[tex]V = \frac{4\pi (1.53)^3}{3} = 14.9[/tex]
Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.
The area of the triangle shown is represented by A=s(s−14)(s−12)(s−6)−−−−−−−−−−−−−−−−−−−−√A=s(s−14)(s−12)(s−6), where s is equal to half the perimeter. What is the height h of the triangle? Round your answer to the nearest hundredth.
Answer:
[tex]h=5.11ft[/tex]
Step-by-step explanation:
[tex]S=12+6+14/2=16[/tex]
[tex]area ~A= \sqrt{s(s-14)(5-12)(5-6)}[/tex]
[tex]area=\sqrt{16(16-14)(16-12)(16-6)}[/tex]
[tex]A=\sqrt{16×2×4×10}[/tex]
[tex]A=35.70[/tex]
[tex]A=1/2× base~×height[/tex]
[tex]35.70=1/2×14×h[/tex]
[tex]h=2×35.75/14[/tex]
[tex]h=5.11ft[/tex]
｡･:*:･ﾟ★,｡･:*:･ﾟ☆
hope it helps...
have a great day!!
8xp is less than 8 but greater than 0
Answer: 0<8xp<8
Step-by-step explanation:
Answer:
8xp < 8 > 0
Step-by-step explanation:
Is your algebra expression i'm pretty sure.
50 points! Can you please be honest and answer these 3 questions.
Answer:
1. 5/10
2. 0.54
3. √3 and -1/16????
I think
sorry if I wrong
HELP!! pls
Circle O is centered on the origin with a diameter of 14 units. Determine if the point
reasoning
(-3,2/10)
is on the circle. Explain your reasoning
Answer:
Circle centered on origin, (0, 0)
Radius = 7units
To find if the point lies on the circle , check if the distance from the center to the point is 7units.
[tex]distance = \sqrt{(x_{1} -x_{2})^{2} +(y_{1} -y_{2})^{2} } \\(x_{1} ,y_{1} ) =(0, 0)\\(x_{2}, y_{2}) = (-3, 2\sqrt{10} )\\\\distance = \sqrt{(0--3)^2+(0-2\sqrt{10})^2 } = \sqrt{9+40} = \sqrt{49} = 7units[/tex]
Since the distance between the center and the point is 7units. the point lies on the circle.
Circle O is centered on the origin with a diameter of 14 units. Since the distance between the center and the point is 7units. So, the point lies in the circle.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
We have been given a Circle centered on the origin, (0, 0)
Radius = 7units
In order to find if the point lies on the circle, check if the distance from the center to the point is 7units.
(x, y) = (0, 0)
(p, q) = (-3,2√10)
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
[tex]D = \sqrt{(0-(-3))^2 + (0-2\sqrt{10} )^2} \: \rm units.\\\\D = \sqrt{9+ 40} \\\\D = \sqrt{49} \\\\D = 7[/tex]
Since the distance between the center and the point is 7units. So, the point lies on the circle.
Learn more about the distance between two points here:
brainly.com/question/16410393
#SPJ2
The side lengths of a right triangle are 10, 26, and 24. Which is the hypotenuse?
Helppppoppppppppp!!!!!
Answer:
x=64
Step-by-step explanation:
[tex]x^{2} =A\\x^{2} = 4,096[/tex]
Answer:
Hello! answer: 64
Step-by-step explanation:
Each side length of the square is the same therefore we just have to find the square root of 4096 64 × 64 = 4096 therefore the side length of the square is 64 HOPE THAT HELPS!
Solve the following system of equations algebraically:
Y = x^2 + 8x – 9
Y = 2x + 7
If a normal 6 sided die, with each side numbered 1 through 6, is rolled. What is the probability that the number on top is greater than 3?
Select one:
1/6
1/2
1/3
2/3
Answer: the second option (1/2)
Step-by-step explanation:
numbers greater than 3: 4, 5, and 6
3 numbers
so 3/6 or 1/2
1/2 or 50% so the second option