A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8​ ounces, the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected​ periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.171 ​ounces, with a sample standard deviation of 0.052 ounce.1. Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.01level of​ significance.)2. State the null and alternative hypotheses.H0​:μ ( ≥, ≤, =, <, >,≠ ) ________H1​:μ ( ≥, ≤, =, <, >,≠ ) ________​(Type integers or​ decimals.)3. The critical​ value(s) is(are) _____​(Round to four decimal places as needed. Use a comma to separate answers as​ needed.)4. The test statistic is _______​(Round to four decimal places as​ needed.)5. Reject/ Do not reject H0. There is sufficient/insufficient evidence to conclude the population mean amount is different from 8.17ounces.6. The​ p-value is _______​(Round to four decimal places as​ needed.)7. Interpret the meaning of the​ p-value. Choose the correct answer below.A. The​ p-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.001 ounce below 8.17if the null hypothesis is false.B. The​ p-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.001 ounce away from8.17 if the null hypothesis is true.A. The​ p-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.001ounce aboveB. The​ p-value is the probability of not rejecting the null hypothesis when it is false.

Answer:

This question is a lot easier than it seems. What you have to do here is subtract 6 1/9 from 7.

This will give you 0.8 of the fabric left, or 8/9.

Answer:

4/52 = 1/13

Step-by-step explanation:

Answer: 300 hrs

The time spent behind the wheel by the average Raleigh driver in 2016 is  300 hrs

Step-by-step explanation:

Given that;

Raleigh driver spent 18 hours in traffic jams

And it accounts for 6% of their total driving time

Now

let total driving time be = x hrs

so

6% of total driving time = 18 hrs

6/100 × x = 18hrs

6x = 1800 hrs

x = 1800/6

x = 300 hrs

∴ The time spent behind the wheel by the average Raleigh driver in 2016 is  300 hrs

Answer:

97

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information,

Considering both cases when p = 0.5 and when p ≠ 0.5

the probability that the gambler will quit an overall winner is:

[tex]P = \dfrac{1 - (\dfrac{1-p}{p} )^K}{1- (\dfrac{1-p}{p})^N } \ \ \ is \ p \neq 0.5 \ and\ K/N = \dfrac{1}{2}[/tex]

where ;

N.k = n  and k  = m

Hence, the probability changes to:

[tex]P = \dfrac{1 -(\dfrac{1-p}{p})^m}{1 -(\dfrac{1-p}{p})^{m+n}}[/tex] is  p ≠ 0.5   and k/N = [tex]\dfrac{m}{m+n}[/tex]  is P = 0.5

Answer:

5 / 27

Step-by-step explanation:

Answer:

Approximately

Height of screen= 7.1 meters

Step-by-step explanation:

Angle of elevation= 18°

Angle of depression= 58°

Distance of Goran from screen= 5 m

Height of screen from the attachment below

X+y

First let's determine angle a and b

a= 180-90-18

a= 72°

b= 180-90-48

b= 43°

Using sine formula

5/sin a= x/sin 18

5/sin 72= x/sin18

(5*sin 18)/sin 72= x

1.6246 = x

X= 1.6246 m

Y/sin 48= 5/sin b

Y= (5*sin 48)/sin 43

Y= (5*1.08965779)

Y= 5.4483 m

Height of screen= x+y

Height of screen= 1.6246+5.4483

Height of screen= 7.0729

Approximately

Height of screen= 7.1 meters

Answer:

I believe the correct answer is C.

Step-by-step explanation:

So to get 0 solutions the absolute value would have to equal a negative number. To get 1 solution the absolute value would have to equal 0. To get 2 solutions the absolute value would have to equal a positive number.

2 |x - 1| = 8

divide by 2

|x - 1| = 4

The absolute value equals a positive so it has 2 solutions.

Answer:

44,000

Step-by-step explanation:

The number 43,761 rounded to its nearest thousands is 4400.

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 = thousandths place value

We have,

43,761

3 is in the thousand place.

So,

We will round 3761 to its nearest thousand value.

There are two options:

3000 or 4000

If It is greater than 3499 it will round to 4000.

If it is less than 3500 it will round to 3000.

Now,

3761 > 3499.

So,

The number is rounded to 4000.

Thus,

43,761 is rounded to 4400.

Learn more about place value here:

https://brainly.com/question/27734142

#SPJ2

Step-by-step explanation:

I'm not sure, but I think just 0

Because no one will even stand there and watch you kill 30 people

The police will come for you and the 1 dead person will be sent away lol

Answer:

Step-by-step explanation:

Ion know

Answer:

Yes, it means that both of you obtain a result with the same precision and accuracy.

Step-by-step explanation:

It is provided that two different people took measurements in order to find the length of a rod.

The first person took 30 measurements.

The second person took 20 measurements.

Both the people got the same average length, i.e. L₀.

In statistics, a larger sample leads to an error free result.

So, for the first person the larger sample helped reducing the chance of any sort of error that may be present.

For the second person, the average is same as the first even when their sample size is less than the first.

This may happen because the sample was selected with a certain precision and accuracy.

Thus, both of them obtain a result with the same precision and accuracy.

Answer:

Cory bought 6.474 gallons of gasolline.

Step-by-step explanation:

The total cost of gasoline ([tex]C[/tex]), measured in dollars, is given by the following expression:

[tex]C = n\cdot c[/tex]

Where:

[tex]n[/tex] - Amount of gasoline, measured in gallons.

[tex]c[/tex] - Unit cost, measured in dollars per gallon.

Given that [tex]C = \$\,18[/tex] and [tex]c = \$\,2.78\,\frac{1}{gal}[/tex], the amount of gasoline is cleared and calculated:

[tex]n = \frac{C}{c}[/tex]

[tex]n = \frac{\$\,18}{\$\,2.78\,\frac{1}{gal} }[/tex]

[tex]n = 6.474\,gal[/tex]

Cory bought 6.474 gallons of gasolline.

Answer:

3x²-4x+12

Step-by-step explanation:

Answer:

[tex]=3x^2-4x+12[/tex]

Step-by-step explanation:

So we have the expression:

[tex]x(2x+3)+(x-3)(x-4)[/tex]

To simplify, distribute the left side and the right:

[tex]=x(2x)+x(3)+(x-3)(x)+(x-3)(-4)[/tex]

Distribute:

[tex]=(2x^2+3x)+(x^2-3x)+(-4x+12)[/tex]

Combine like terms:

[tex]=(2x^2+x^2)+(3x-3x-4x)+(12)[/tex]

Simplify:

[tex]=3x^2-4x+12[/tex]

Answer:

The answer is

Step-by-step explanation:

Area of a triangle is given by

where

b is the base

h is the height

From the question

b = 16 inches

h = 18 inches

Substitute the values into the above formula and solve for the area

That's

We have the final answer as

Hope this helps you

Answer: 1/ 40 x (-155x-184)

Answer:

[tex]:\quad \frac{713}{40}=17\frac{33}{40}[/tex]

Step-by-step explanation:

[tex]-3\frac{7}{8}\times \:-4\frac{3}{5}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 3\frac{7}{8}=\frac{31}{8}\\-\frac{31}{8}\times \:-4\frac{3}{5}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4\frac{3}{5}=\frac{23}{5}\\-\frac{31}{8}\times \:-\frac{23}{5}\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=\frac{31}{8}\times \frac{23}{5}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\[/tex]

[tex]=\frac{31\times \:23}{8\times \:5}\\\\=\frac{713}{40}\\\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\\\quad \frac{713}{40}=17\frac{33}{40}[/tex]

Answer:

The key features are

50ft³ = the volume

0.5ft³/min = rate

Time= 100 minutes

Step-by-step explanation:

Chiang is filling a 50ft container with water at a rate of 0.5 ft/ min.

50ft³ = the volume

0.5ft³/min = rate

There is a key future missing which is the time it will take to fill the 50 ft³ container

Time = volume/rate

Time= 50 ft³/0.5ft³/min

Time= 50/0.5 min

Time = 100 min

The key features are

50ft³ = the volume

0.5ft³/min = rate

Time= 100 minutes

Answer:

Length = 25 meters

Width = 6 meters

Step-by-step explanation:

62 = 2(a+b)

a = 4b + 1

a = length

b = width

then:

62 = 2((4b+1)+b)

62/2 = 4b+b+1

31 = 5b + 1

31 - 1 = 5b

30 = 5b

b = 30/5

b = 6m

a = 4b + 1

a = 4*6 + 1

a = 24 + 1

a = 25m

Check:

62 = 2(6+25)

62 = 2*31

Answer:

The correct answer would be 54 hundreds

Step-by-step explanation:

If we are considering how many hundreds something has, we can simply take away two 0's and use that number.  We take the two 0's off and then we have the right number of hundreds

Answer:

Hey there!

Five-thousand four-hundred can be expressed as fifty-four hundred.

Let me know if this helps :)

Answer:

4 and 15

Step-by-step explanation:

Let the two numbers be a and b.

The sum of the two is 19. Therefore:

[tex]a+b=19[/tex]

One number (let's use a) is 7 more than twice the other. Thus:

[tex]a=7+2b[/tex]

Solve for the system of equations. Substitute the second equation into the first:

[tex]a+b=19\\(7+2b)+b=19[/tex]

Subtract 7 from both sides:

[tex]2b+b=12[/tex]

Combine like terms:

[tex]3b=12[/tex]

Divide by 3:

[tex]b=4[/tex]

So, b is 4.

And since they add up to 19, this means that a is:

[tex]a+b=19\\a+4=19\\a=15[/tex]

So our numbers are 4 and 15

And we are done :)

Answer:

the equation is: 2x+7+x=43

the 2 numbers are: 12 and 31.

Answer:

Rachel has 27

Hong has 51

Manuel has 17

Step-by-step explanation:

Let R represent Rachel, H represent Hong, and M represent Manuel.

They combined have a total of 95. Thus:

[tex]R+H+M=95[/tex]

Hong has 3 times what Manuel has. Therefore:

[tex]H=3M[/tex]

Rachel has 10 more than Manuel. Therefore:

[tex]R=10+M[/tex]

Substitute:

[tex]R+H+M=95\\(10+M)+(3M)+M=95[/tex]

Combine like terms:

[tex]5M+10=95[/tex]

Subtract 10 from both sides:

[tex]5M=85[/tex]

Divide by 5:

[tex]M=17[/tex]

Therefore, Manuel has 17.

Now, find Rachel and Hong's money.

[tex]H=3M\\H=3(17)=51[/tex]

So, Hong has 51.

And for Rachel:

[tex]R=10+M\\R=10+17=27[/tex]

Rachel has 27.

Answer:

Step-by-step explanation:

either x+y=0

∵ if they are on number line and at same distance. then x=-y

or x+y=0

Answer:

Step-by-step explanation:

The growth factor is the base of the exponent: 0.98. Its relation to the rate of change is ...

  growth factor = 1 + rate of change

  0.98 = 1 + (-0.02)

So, the rate of change is -0.02 = -2%. Since the rate of change is a 2% decrease, it represents decay.

Answer:

  y = x

Step-by-step explanation:

The slopes of parallel lines are the same, so we know the equation will be ...

  y = x + constant

We can find the constant by using the given point's values for x and y:

  2 = 2 + constant

Obviously, the constant is zero.

The equation of the parallel line through (2, 2) is y = x.

Answer:

[tex]\huge\boxed{\sf f(-3) = 18}[/tex]

Step-by-step explanation:

[tex]\sf f(x) = x^2 - 2x + 3[/tex]

Put x = -3

[tex]\sf f(-3) = (-3)^2 -2(-3) + 3\\f(-3) = 9 + 6 + 3\\f(-3) = 18[/tex]