The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 18 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.14 oz, and they appear to be from a normally distributed population.
If the workers want the filling process to work so that almost all cans have volumes between 12.02 oz and 12.66 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.16 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.16 oz. Use a 0.01 significance level. Complete parts (a) through (d) below.
a. Identify the null and alternative hypotheses.
b. Compute the test statistic.
c. Find the p-value.
d. State the conclusion.
Answer:
Null hypotheses = H₀: σ = 0.16 oz
Alternate hypotheses = H₁: σ < 0.16 oz
Critical value = 6.408
Chi-square value = [tex]\chi^2[/tex] = 13.016
Reject H₀ Since [tex]\chi^2[/tex] > Critical value
Reject H₀ Since p-value ≤ α
We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.
Step-by-step explanation:
Set up hypotheses:
The null hypotheses is that the population of volumes has a standard deviation of 0.16 oz
Null hypotheses = H₀: σ = 0.16 oz
The claim to be tested is that the population of volumes has a standard deviation of less than 0.16 oz
Alternate hypotheses = H₁: σ < 0.16 oz
Determine type of test:
Since the alternate hypothesis states that the population of volumes has a standard deviation of less than 0.16 oz, therefore we will use a lower-tailed chi-square test.
Determine the Critical value:
Given level of significance = 0.01
Since it is a lower-tailed test, the areas given in the chi-square table are the areas to the right of the critical value. To get the areas on the left, subtract it from one, and then look it up
α = 1 - 0.01 = 0.99
degree of freedom = df = n - 1 = 18 - 1 = 17
The critical value from the chi-square table at α = 0.99 and df = 17 is found to be
Critical value = 6.408
Using an online “chi-square p-value calculator”
The left tail p-value for df = 17 and Critical value = 6.408 is found to be
p-value = 0.01
Set up decision rule:
Reject H₀ If > Critical value
We reject the Null hypothesis If the calculated chi-square value is more than the critical value.
OR
Reject H₀ If p-value ≤ α
Compute the test statistic:
[tex]$ \chi^2 = \frac{(n-1) s^2}{\sigma^2} } $[/tex]
[tex]$ \chi^2 = \frac{(18-1) 0.14^2}{0.16^2} } $[/tex]
[tex]\chi^2 = 13.016[/tex]
Conclusion:
We reject H₀
Since [tex]\chi^2[/tex] > Critical value
13.016 > 6.408
Also
p-value ≤ α
0.01 ≤ 0.01
We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.
I need help choosing which two equations tool el to find the individual massses of A and B
Answer:
Step-by-step explanation:
The third one :
a is twice the mass of b so a=2b b and 2a combined equal 45Can someone please help
Answer:
a
Step-by-step explanation:
Well in the first you buy 5P+2B+3L
but then you buy 3P +1B+2L
and you add then up
help me solve this please
Answer:
70°solution,
[tex]x = \frac{far \: arc - near \: arc}{2} \\ \: \: \: \: = \frac{250 - (360 - 250)}{2} \\ \: \: \: \: \: = \frac{250 - 110}{2} \\ \: \: = \frac{140}{2} \\ \: \: = 70[/tex]
Hope this helps..
Good luck on your assignment
a man's annual salary of 580000 is increased by 15% find the new salary
Answer:
58000 x 15= 87000
Step-by-step explanation:
you just have to multiply it by 15
Answer:
667000
Step-by-step explanation:
Have to find what 15% of 580000 is first:
580000 x 0.15 (15% as decimal --> divide by 100) = 87000
Next add what 15% of 580000 is to 580000:
580000 + 87000 = 667000
The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?
Answer:
C. y=2x-48
Step-by-step explanation:
A. y=48x−2
B. y=48x+2
C. y=2x−48
D. y=2x+48
Profit per hotdog=$2
Quantity=x
Cost of hotdog, buns and mustard=$48
Find the equation profit earned by the hotdog stand for x hot dog sold
Total Profit(y)=(units profits*quantity)-cost
=$2*x-$48
y=2x-48
Answer:
C. y=2x−48
Step-by-step explanation:
did it on edge 2020
i am bad in fraction math. can you please help me. with proper explanation. Thank you!
Answer:
1 - 8/9 + 4/9 = 9/9 -8/9 +4/9 = (9-8+4)/9 = 5/9
Step-by-step explanation:
Answer:
The answer is 5/9.
Step-by-step explanation:
First, you have to make all the denorminator of the fractions the same by multultiplying :
[tex]1 - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{1}{ 1} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{1 \times 9}{1 \times 9} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]
Next, you have to make it into 1 fraction and simplify :
[tex] \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]
[tex] = \frac{9 - 8 + 4}{9} [/tex]
[tex] = \frac{5}{9} [/tex]
What is the length of arc ZV?
π inches
Answer:
26
Step-by-step explanation:
Answer:
Its 26
Step-by-step explanation:
Correct on edg. 2021
If (x + 2) is a factor of x3 − 6x2 + kx + 10, k
Answer:
k = -11
Step-by-step explanation:
Let [tex]p(x) = x^3-6x^2+kx+10[/tex]
And x+2 is a factor of p(x)
Let x+2 = 0 => x = -2
Putting in p(x)
=> p(-2) = [tex](-2)^3-6(-2)^2+k(-2)+10[/tex]
By remainder theorem, Remainder will be zero
=> 0 = -8-6(4)-2k+10
=> 0 = -8-24+10-2k
=> 0 = -22-2k
=> -2k = 22
Dividing both sides by -2
=> k = -11
The length of a rectangle is represented by L. If the width of the rectangle is one-half of its length, represent its width.
Answer:
L/2
Step-by-step explanation:
If the width is half of its length, that means it is 1/2*L, as L is the length. This can be simplified into L/2, which is our answer.
Answer:L/2
Step-by-step explanation: The length is represented as L. So half the lenght is 1/2L which can also be represented as L/2. So the width is represented as L/2
BRAINLIEST PLS HELP ASAP LINEAR EQUATIONS
Answer:
first one
Step-by-step explanation:
Tracey bought 10 movies
some cost 13 and the others 16
Let x be the movies that cost 13 and y ones that cost 16
we can state that
x+y = 10since Tracey both ten
13x+ 16y = 139since the total price is 139
so the system is :
[tex]\left \{ {{13x+16y=139} \atop {x+y=10}} \right.[/tex]
The Venn diagram shows event A and event B comprised of outcomes from the same sample space. The probability of event A is given, as well as the probability of neither event A nor event B. What is the probability of event B?
Answer:
D 0.6
Step-by-step explanation:
plato/edmentum
Answer: 0.6
Step-by-step explanation:
For the following exercises, use this scenario: A biologist recorded a count of 360 bacteria present in a culture after 5 minutes and 1000 bacteria present after 20 minutes. Rounding to six significant digits, write an exponential equation representing this situation. To the nearest minute, how long did it take the population to double
Answer:
[tex]P(t)=256*e^{0.068185t}[/tex]
10 minutes for the population to double.
Step-by-step explanation:
The general formula for the population equation, P(t), is:
[tex]P(t)=A*e^{nt}[/tex]
We are given that for t =5 minutes and t = 2 minutes:
[tex]P(5)=360=A*e^{5n}\\P(20)=1,000=A*e^{20n}\\\\[/tex]
Solving for A and n:
[tex]ln(360)=ln(A)+5n\\ln(1,000)=ln(A)+20n\\ln(1,000)-4ln(360)=ln(A)-4ln(A)+20n-20n\\ln(A)=5.5455536\\A=256\\n=\frac{ln(360)-ln(256)}{5}\\n=0.068185[/tex]
The exponential equation that represents this situation is:
[tex]P(t)=256*e^{0.068185t}[/tex]
The population will double when P(t) = 512 bacteria:
[tex]512=256*e^{0.068185t}\\ln(2)=0.068185t\\t=10.17\ minutes[/tex]
To the nearest minute, it takes roughly 10 minutes for the population to double.
PLEASE HELP ASAP
Right triangle ABC is located at A (−1, −2), B (−1, 1), and C (3, 1) on a coordinate plane. What is the equation of a circle A with radius segment AC?
A (x + 1)2 + (y + 2)2 = 9
B (x + 1)2 + (y + 2)2 = 25
C (x − 3)2 + (y − 1)2 = 16
D (x − 3)2 + (y − 1)2 = 25
Answer:
b
Step-by-step explanation:
Answer:
B) (x + 1)2 + (y + 2)2 = 25
Step-by-step explanation:
The revenue for a company producing widgets is given by y=-25x^2-50x+200, where x is the price in dollars for each widget. The cost for the production is given by y=25x-10. Determine the price that will allow the production of the widgets to break even.
Answer:
When they create 3.44 products and make a revenue of $76.027, they will break even.
Step-by-step explanation:
To do this, simply graph the 2 equation in a graphing calculator and analyze the graph for where the 2 graphs intersect. Discard the negative intersection because we cannot have a negative production. You should see that your intersection point is (3.441, 76.027).
A line contains the points (6,8), (-2, k) and (-10, 4). What is the value of k?
Answer:
k = 6
Step-by-step explanation:
Step 1: Find slope m
m = (4 - 8)/(-10 - 6)
m = -4/-16
m = 1/4
y = 1/4x + b
Step 2: Find b
4 = 1/4(-10) + b
4 = -5/2 + b
b = 13/2
Step 3: Rewrite equation
y = 1/4x + 13/2
Step 4: Find k
y = 1/4(-2) + 13/2
y = -1/2 + 13/2
y = 12/2
y = 6
Answer: 6
Step-by-step explanation:
As you move left to right on the x-coordinate, your y value is increasing. If you notice, the x values are increasing by eight at a time. So, if you take the value in between 4 and 8, you get your answer, which is 6.
1/4 of a pipe is white , 1/2part of the remaining is blue. If the remaining part is black and the length of this blackpart is 5 1/4cm, find the length of the pipe.
Answer: 14 cm
Step-by-step explanation:
let's total length = h
white = 1/4h
remain = h - 1/4h
=3/4h
blue = 1/2 of remaining
=1/2 of 3/4h
=3/8h
remain part black = 3/4h - 3/8h
=3/8h
according to the question
3/8h = 5 1/4 cm
h = 14 cm
length of the pipe is 14 cm
Answer:
14The length of the pipe is 14.
Solution,
Let the total length be X cm
[tex]x - \frac{x}{4} -{ (x - \frac{x}{4} ) \times \frac{1}{2}} = 5 \frac{1}{4} \\ x - \frac{x}{4} - \frac{x}{2} + \frac{x}{8} = \frac{21}{4} \\ \frac{8x - 2x - 4x + x}{8} = \frac{21}{4} \\ \frac{3x}{8} = \frac{21}{4} \\ 3x \times 4 = 21 \times 8 \\ 12x = 168 \\ x = \frac{168}{12} \\ x = 14[/tex]
Hope this helps..
Good luck on your assignment..
Which number is the opposite of -3? Starting at -3, how many steps does it take to get to the opposite of -3? What does this number of steps represent?
Answer:
3
Step-by-step explanation:
The Absolute value of -3 is 3 because it's the distance away from 0. Both have the same distance away from 0.
The opposite number of the integer number negative 3 will be 3.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The number that produces zero when multiplied by an is known as the additive inverse of a number, or a, in arithmetic. The opposite, a shift in the sign, and negation are other names for this number.
The number is given below.
⇒ - 3
The opposite of the number negative 3 will be given as,
⇒ - (-3)
⇒ 3
The opposite number of the integer number negative 3 will be 3.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Abigal found that she can drive 140 miles in 3 hours, including rest stops, on intersate highway. How long would it take her to drive the interstates from cleveland, ohio, to washington dc which is 350 miles?
Answer:
7.5 hours
Step-by-step explanation:
distance = rate * time (d=rt)
First we find her average rate, or speed:
140 miles = 3 hours * rr = [tex]\frac{140 miles}{3 hours}[/tex] = 46.6666 miles/hourNow we take that rate and use our second distance to find the time:
d = rt
t = d/r = 350 miles / 46.6666 miles/hour = 7.5 hours
What is the value of the angle marked with 2?
Answer:
Step-by-step explanation:
Consecutive angles cut by a common transversal are supplementary. That means that
x + 87 =180 Subtract 87 from both sides.
x+87-87=180-87
x = 93
Find the volume of the composite figure below
Answer:
1386 in³
Step-by-step explanation:
Volume of the composite cone = volume of a hemisphere + volume of a cone
=>Find the volume of cone
Volume of cone = ⅓πr²h
π = 3.142
r = 7 in
h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]
h = √(225 - 49)
h = √176 ≈ 13 in
Volume of cone = ⅓*3.142*7²*13
= ⅓*2001.454 ≈ 667 in³
=>Find volume of hemisphere.
Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³
π = 3.142
r = 7 in
Volume = ⅔*3.142*7³ ≈ 719 in³
Volume of composite figure = 667+719 = 1386 in³
If u do 3 I’ll mark Brainlynest u don’t have to do 3 it depends but also 14 points
Answer:
Step-by-step explanation:
A(-5,-2),B(-2,-2), C(-5,2)
find distance first:d=√(x2-x1)^2+(y^2-y1^2)
AB: 3
BC: 5
AC: 4
perimeter of triangle=3+5+4=12
compliment angle=90
90+34=124
5x+17+x+19=180
x=24
how to do this question plz
Answer:
Step-by-step explanation:
surface area of two trapezoids=2[(12+8)/2×3]=2[30]=60 cm²
surface area of side rectangles=10×8+10×12=10(8+12)=200 cm²
surface area of top=10×5=50 cm²
surface area of bottom=10×3=30 cm²
Total surface area=60+200+50+30=340 cm²
Answer:
Step-by-step explanation:
to find the surface area , you need to find the area of each side(face)
top: 5*10=50
the bottom of the shape: 3*10=30
the front face:10*8=80
the sides are trapezoid shapes with:different dimensions:
side :8,12 and eight of 3 ( the shape has 3 faces the same)
area=((12+8)/2)*3= 30 (30*3 faces or sides)
add the numbers: 50+30+80+(30*3)=250 cm^2
I hope it is right and good luck
The test statistic of z equals = 2.94 2.94 is obtained when testing the claim that p not equals ≠ 0.877 0.877. A. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. B. Find the P-value. C. Using a significance level of alpha α equals = 0.01 0.01, should we reject Upper H 0 H0 or should we fail to reject Upper H 0 H0?
Answer:
Step-by-step explanation:
The claim being tested is that p not equals ≠ 0.877
A) This is the alternative hypothesis and it is a two tailed test. It means that it can be in either direction.
B)Given that z = 2.94, the p value would be determined from the normal distribution table. Since the curve is symmetrical and it is a two tailed test, the p for the left tail and the right tail would be considered. We will look at the area in both tails. Since it is showing in one tail only, we would double the area
From the normal distribution table, the area above the test z score in the right tail is 1 - 0.998 = 0.002
We would double this area to include the area in the left tail of z = - 2.94 Thus
p = 0.002 × 2 = 0.004
C) Since alpha, 0.01 > than the p value, 0.004, then we would reject the null hypothesis, H0
make x the subject of P=K√X.
Answer:
( P^2) / K^2 = x
Step-by-step explanation:
P = K * sqrt ( x)
Divide each side by K
P/K = sqrt(x)
Square each side
( P^2) / K^2 = x
Answer:
The answer is
[tex]X = ({ \frac{K}{P} })^{2} [/tex]
[tex]P = \frac{K}{ \sqrt{x} } [/tex]
Cross multiply
that's
P√x = K
Divide both sides by P
That's
√x = K/P
Square both sides to make x stand alone
That's
(√X)² = ( K/P)²
We have the final answer as
[tex]X = ({ \frac{K}{P} })^{2} [/tex]
Hope this helps you
I need help for this question I’m stuck
Answer:
g=6
Step-by-step explanation:
We can start by multiplying both sides by 2
5(3g+2)=100
Now we can distribute the 5 by using the distributive property
15g+10=100
Then we subtract 10 from both sides
15g=90
Divide both sides by 15
g=6
Answer:
6
Step-by-step explanation:
5(3g + 2)/2 = 50 Multiply both sides by 2
5(3g + 2) = 50*2 = 100 Remove the brackets
15g + 10 = 100 Subtract 10 ***
15g+10-10 = 100 - 10 Collect like terms.
15g = 90 Divide by 15 ***
15g/15 = 90/15
g = 6
I don't know how to cut this down so that it requires only 2 steps. I guess that the two steps marked with *** are the 2 I would choose.
Sam is two times Sydey's
their combined
age is 36. What is Sydney's age.
Answer:
12 years old
Step-by-step explanation:
Let's call Sydney's age x and Sam's age 2x. We can write:
x + 2x = 36
3x = 36
x = 12 so the answer is 12 years old.
PLZ HELP!! I WILL NAME BRAINLIEST!! and possibly friend! thxs so much
Answer:
1.) f(-2)=g(4)
2.) f(0) = g(-2)
3.) f(-4)=g(-2) and f(4)=g(4)
4.) -9
Step-by-step explanation:
Find the value of x if 212x5 is a multiple of 3 and 11
Answer:
8
Step-by-step explanation:
when the valueof x is 8 then it is multiple of 3 and 11
#21285/3=7095
#21285/11=1935
I Hope this will be helpful for you.
If u do 3 I’ll mark Brainlynest and give u 29 points
Answer:
Step-by-step explanation:
To calculate the perimeter we must add the lenghts of the sides :
CD=13 USING THE PYTHAGORIAN THEOREM ED=5EF=3BC=14BK=4KH=4GF=9HG≈ 11 USING THE PYTHAGORIAN THEOREM WE GET 11.2 WICH 11 APPROMATIVELY by ADDIND THESE VALUES WE GET : the perimeter = 63 To calculate the area we must divide the shape into 4 parts : 3 rectangles and 1 triangle A1=56A2=30A3=80A4=27THE TOTAL AREA = 193to solve the system of equations below, Zach isolated x^2 in the first equation and then substituted it into the second equation. What was the resulting equation. (x^2 y^2=25; (x^2/15-y^2/9=1 A.x^2/16-y^2-25/9=1 B.x^2/16-25-y^2/9=1 C.25-y^2/16-y^2/9=1 D.y^2-25/16-y^2/9=1
Answer:
25-y²/15 - y²/9 = 1Step-by-step explanation:
Given the equations x^2 + y^2=25 ...1 and x^2/15-y^2/9=1,.. 2 to solve the systam of equation we will make x^2 the subject of the formula from the first equation and substitute it into the second equation as shown;
Fom 1; x² = 25-y²... 3
Substituting equation 3 into 2 to get the resulting equation will give;
x²/15-y²/9=1
25-y²/15 - y²/9 = 1
The final expression gives the required equation.