Answer:
The p-value of the observed statistic is 0.15866
Step-by-step explanation:
The given parameters of the system are;
The standard deviation of the foam height, σ = 20 mm
The null hypothesis, H₀; μ = 175 mm
The alternative hypothesis, Hₐ; μ > 175 mm
The number of observations that make the sample, n = 4
The observed statistic, [tex]\overline x[/tex] = 185
The test statistic is given as follows;
[tex]Z=\dfrac{\bar{x}-\mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]
Therefore, we get;
[tex]Z=\dfrac{185-175 }{\dfrac{20}{\sqrt{4}}} = 1[/tex]
P(Z > 1) = 1 - P(Z < 1) = 1 - 0.84134 = 0.15866
The p-value of the observed statistic = 0.15866
Here is some record-keeping from a coffee shop about their paper cups. Cups are delivered 2,000 at a time. How many paper cups are left at the end of the day on Wednesday?
Answer:
1748
Step-by-step explanation:
Tuesday + Wednesday - Monday
10 points!! Will mark brainliest. No question just tell me more about Area of Composite Figures and how to find it. I will report If answer is unrelated.
Answer:
To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together. Be sure than none of the simpler figures have overlapping areas. To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.
I need help with this question, pls put step by step
Answer:
150 degrees and 30 degrees
Step-by-step explanation:
Let's say the measure of the angle is x. This angle is 5 times that of its supplementary, supplementary angles will add up to 180 degrees. So we have an equation of x = 5(180-x). Solve this equation for x
x = 5(180-x)
x = 900 - 5x
6x = 900
x = 150 degrees, this is the value of one angle
The other angle is 180-x = 180-150 = 30 degrees
5. Can two fractions point to the same location on the number line? Explain.
Answer:
1 2 = 2 4 = 3 6 = 4 8 = etc. All of these fractions are located at the same point on the number line. Therefore, they represent the same number. From the paper folding exercises, we see that increasing both numerator and denominator of a fraction by the same factor gives an equivalent or equal fraction.
Hope this helps :) Just know I tried.
What is the solution of log3x − 5 16 = 2?
Answer:
log (16)=2 in base 3x-5
==>16=2^(3x-5)
==>2^4=2^(3x-5)
==>4=3x-5
==>3x=9
==>x=3
Step-by-step explanation:
3n + 2 + 5 = 4
NEED ASAP
Step-by-step explanation:
given
3n + 2 + 5 = 4
3n + 7 = 4
3n = 4 - 7
3n = - 3
n = - 3 / 3
n = -1
Hope it will help :)❤
The situation is as follows: Smart phones have changed the world and how we spend our time. A group of researchers at BYU want to estimate the mean daily number of minutes that BYU students spend on their phones. In fall 2019, they took a random sample of 430 BYU students and found that on average, students spend 312 minutes on their phones with a standard deviation of 54 minutes per day. The plot of the sample data showed no extreme skewness or outliers. Calculate a 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019. Do not round off in the intermediate steps, only the final answer should be rounded off to two decimal places.
Answer:
The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.
Step-by-step explanation:
Confidence interval normal
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.054\frac{54}{\sqrt{430}} = 5.35[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 312 - 5.35 = 306.65 minutes
The upper end of the interval is the sample mean added to M. So it is 312 + 5.35 = 317.35 minutes
The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.
please could i have help with this i get 336m and its not one of the choices
Answer:
a. 30 m
I hope it helps....
Answer:
30m
Step-by-step explanation:
[tex]18m^{2}[/tex]/m + 4m(3)
= [tex]30m^{2}[/tex]/m
= 30m
Hope it helps,
Please mark me as the brainliest
Thank you
Help? Please lol um math is hard
Answer:
Ikr
Step-by-step explanation:
I used to be able to know what 1 + 1 but now I have no idea how to solve that
(Im jk btw lol)
help help help help help pls
Answer:
3: 2 because for every 4 men there was 1 women so 4 + 1 = 5 and x 2 = 10 so thats the number of adults and since we multiplied by 2 we have to women
A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 30% of onenight visitors buy a unit, and 20% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit? A one-night visit? A two-night visit?
Answer:
0.087 = 8.7% probability that this person made a day visit.
0.652 = 65.2% probability that this person made a one-night visit.
0.261 = 26.1% probability that this person made a two-night visit.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Made a purchase.
Probability of making a purchase:
10% of 20%(day visit)
30% of 50%(one night)
20% of 30%(two night).
So
[tex]p = 0.1*0.2 + 0.3*0.5 + 0.2*0.3 = 0.23[/tex]
How likely is it that this person made a day visit?
Here event B is a day visit.
10% of 20% is the percentage of purchases and day visit. So
[tex]P(A \cap B) = 0.1*0.2 = 0.02[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.23} = 0.087[/tex]
0.087 = 8.7% probability that this person made a day visit.
A one-night visit?
Event B is a one night visit.
The percentage of both(one night visit and purchase) is 30% of 50%. So
[tex]P(A \cap B) = 0.3*0.5 = 0.15[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.23} = 0.652[/tex]
0.652 = 65.2% probability that this person made a one-night visit.
A two-night visit?
Event B is a two night visit.
The percentage of both(two night visit and purchase) is 20% of 30%. So
[tex]P(A \cap B) = 0.2*0.3 = 0.06[/tex]
Then
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.23} = 0.261[/tex]
0.261 = 26.1% probability that this person made a two-night visit.
A bank account pays 0.5% monthly interest. If $500 is put in the account, what will the balance be at the end of one year, assuming no additional deposits or withdrawals are made? Do not include units ($) in your answer.
The balance at the end of one years is; $502.5. The equation that that represents the balance in the account is $500 x (1.005)^1
What will be the balance of the account?The amount of money in the bank account would grow at an exponential rate. then the formula for calculating future value:
FV = P (1 + r)^nm
Where:
FV = Future value
P = Present value
R = interest rate
N = number of years
We are given that bank account pays 0.5% monthly interest. If $500 is put in the account, it will the balance be at the end of one year,
$500 x (1 + 0.5/100)^1
$500 x (1.005)^1
= $502.5
To learn more about future value, please check: brainly.com/question/18760477
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Answer: $530.84
Step-by-step explanation: The principal is $500 with 0.5% added MONTHLY. One year has 12 months so we must calculate the interest for 12 months.
$500(1.005)^12 = $530.838 which rounds to $530.84
Floyd Electric is fabricating flanges for a new electrical motor. The flange is to be 25 millimeters in diameter with an upper tolerance limit of 26.5 millimeters and a lower tolerance limit of 23.5 millimeters. Bill Floyd took a sample consisting of ten flanges, measured the diameter and recorded the observations in the table. He has heard discussion of 6 sigma in the business news recently and would like to join the club. What percentage decrease in process standard deviation would be required for Floyd Electric to achieve 6-sigma process capability? Assume that his process mean remains where it is.
A) 36%
B) 40%
C) 46%
D) 58%
This question is incomplete, the missing table is uploaded along this answer below.
Answer:
percentage of age reduction is 40
Option B) 40% is the correct answer
Step-by-step explanation:
Given the data in the question;
from the table in the image below;
sample x = 25.69 , 25.58 , 24.78 , 24.94 , 24.87 , 24.63 , 25.70 , 25.52 , 24.95 , 24.91
mean = ∑x/n
where n is sample size
= (25.69 + 25.58 +24.78 + 24.94 + 24.87 + 24.63 + 25.70 + 25.52 +24.95 ) / 10
= 251.57 / 10
mean u = 25.157
so;
S/N Sample (X) Mean (u) (X-U)²
1 25.69 25.157 0.284089
2 25.58 25.157 0.178929
3 24.78 25.157 0.142129
4 24.94 25.157 0.047089
5 24.87 25.157 0.082369
6 24.63 25.157 0.277729
7 25.7 25.157 0.294849
8 25.52 25.157 0.131769
9 24.95 25.157 0.042849
10 24.91 25.157 0.061009
Total 251.57 1.54281
Mean 25.157
Sample Variance = ∑(x-u)²/n-1 = 1.54281 / (10 - 1) = 1.54281 / 9 = 0.1714
Standard deviation STD1 = √ (variance) = √0.1714 = 0.414
now, for 6-sigma capability, Cpk = 2
Cpk = min of ( USL - mean ) / 3×STD), (Mean - LSL) / 3×STD
since our mean is centered between USL and LSL;
Cpk = ( 26.5 - 25 ) / 3×STD2
we substitute
2 = ( 26.5 - 25 ) / 3×STD2
6STD2 = 1.5
STD2 = 1.5 / 6
STD2 = 0.25
so current standard deviation STD1 = 0.414
required standard deviation for 6-sigma process STD2 = 0.25
so percentage of age reduction will be;
⇒ ( 0.414 - 0.25 ) 0.414 = 0.164 / 0.414 = 0.396 ≈ 0.4
⇒ 0.4 × 100 = 40%
Therefore, percentage of age reduction is 40
Option B) 40% is the correct answer
PLZZZ HELP ME I DON'T GET THIS
If M= {m, a,t} how many subsets of M are there?
Answer:
8 {m},{a},{t},{m,a},{m,t},{a,t},{m,a,t},{}
Which is worked out correctly ?
Answer:
choice 2) 1/5 x 3/15 = 3/75 = 1/25
Step-by-step explanation:
Can someone please help!!!
Answer:
I think is the 3rd one but I am not sure
the sum of the ages of tracy and her mother is 60 if tracys present age is y years write a linear expression for her mothers age after 5 years
Answer:
Step-by-step explanation:
m = 60-y
m+5 = 65-y
CAN SOMEONE PLEASE HELP ME WITH THIS ITS DUE TODAY I WILL BRAINLIEST WHO EVER TELLS ME THE ANSWER
Answer:
There is a error that is
Not : 4 × 6
Correct: 4 × 4
Step-by-step explanation:
Given ,
Base of the parallelogram = 4 in.
Height of the parallelogram = 4 in.
Therefore,
Area of the parallelogram = base × height
= 4 in. × 4 in.
[tex] = 16 {in.}^{2} (ans)[/tex]
Which of the following is the solution to the equation 25(z + 4) = 125?
What is f(3) for the function f(x)=6x+5?
Answer:
23
Step-by-step explanation:
You have a bag of 10 marbles. Three of them are red, five are blue, and two are green. What is the probability of randomly picking
a green or blue marble out of the bag?
A)
0
B)
1
10
09
2
D)
7
10
Answer:
EX :A jar contains 10 red marbles, 4 white marbles, and 2 blue marbles. Two ... To solve this question, you can solve for the probability of choosing 2 marbles that are pink and ... There are two even numbers and three odd numbers, so P (even) = 2/5 and P (odd) = 3/5. ... In a bag, there are 10 red, 15 green, and 12 blue marbles.
Step-by-step explanation:
Ifn is an integer and n2 squared is divisible by 4, then n is divisible by 4.
This is false, we can prove this with a simple counterexample.
2^2=4
4 is divisible by 4
but 2 is not divisible by 4
Been stuck on this question for 20 minutes, can someone please help.
I'm sorry m8 the only options I can give you is life or death. also can u give me brainliest many thank xoxo
Which gives an equation for the line perpendicular to y = 2/3x + 1 that contains (0, 2) * O y = 3/2x + 2 O y = -3/2x + 2 O y = 3/2x-2 O y = -3/2x-2
Answer:
[tex]y = -\frac{3}{2}x + 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of y when x = 0).
If two lines are perpendicular, the multiplication of their slopes is -1.
Contains (0, 2)
This means that [tex]b = 2[/tex]. So
[tex]y = mx + 2[/tex]
Finding the slope:
Perpendicular to y = 2/3x + 1 means that:
[tex]\frac{2m}{3} = -1[/tex]
[tex]2m = -3[/tex]
[tex]m = -\frac{3}{2}[/tex]
So
[tex]y = -\frac{3}{2}x + 2[/tex]
Tim spent $12.90 on a jacket and $8.45 on pants, and $13.32 on a shirt. He
went to 2 shops. In total, how much money did Tim spend on clothing?
Answer:
he spent $34.67 that is the answer
Claim: Is Juan correct ??
Evidence : Show you work
This is geometryyyy(similarity)
Can you help me plz
ng 20-21
POSSIBLE POINTS: 10
In the school store, you can buy 20 calculators for $120. You want to buy 5 calculators. The table below represents the cost of different numbers of
calculators. Complete the table and explain the mathematical process you used to determine the cost of 5 calculators.
you would spend $30
Step-by-step explanation:
if 20 calculator cost 120 then you would divide 20 by 120 which would give you 6 dollars per calculator then you would multiply that by 5 which would give you a $30 for five calculators.
Answer:
where is the table?
I am just telling you how to get the cost of 5 calculators...
Step-by-step explanation:
Cost of 20 cal.=$120
Cost of 1 cal.=120/20
So,
cost of 5 calculators=
120/20*5
=$30
Hope it helps you
Observa la siguiente tabla que muestra los precios de un libro de cuentos y sus
respectivos descuentos en cuatro librerías.
Libreria
Answer:
No conozco este pero puedo ayudarte con otros
Step-by-step explanation:
Based on the table given, the bookstore that discounts more pesos from the original price is Leer es saber.
Which bookstore has the highest discount?Discount from El cuentacuentos:
= 100 x 20%
= $20
Discount from Leer es saber:
= 125 x 25%
= $31.25
Discount from El librote:
= 80 x 5%
= $4.00
Discount from Imagina:
= 90 x 10%
= $9
The highest is therefore Leer es saber.
The rest of the question is:
Qué librería descuenta más pesos del precio original?
Find out more on discounts at https://brainly.com/question/1548141.
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help it time and i have no answer left on branly
Answer:
4/3
10/3
24/3
...........
Answer:
4/3
10/3
24/3 or 8
Step-by-step explanation:
x = y - 2/3
2 - 2/3 = 2/1 - 2/3 = 6/3 - 2/3 = 4/3
y = x + 2/3
8/3 + 2/3 = 10/3
y = x + 2/3
22/3 + 2/3 = 24/3 = 8