a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 400 gram setting. based on a 25 bag sample where the mean is 399 grams and the variance is 400, is there sufficient evidence at the 0.025 level that the bags are underfilled? assume the population distribution is approximately normal. find the value of the test statistic. round your answer to three decimal places.

Step-by-step explanation:

121 ft² cost $150.95

1 ft² costs then 150.95/121 = $1.247520661... ≈

≈ $1.25

Answer:

see explanation

Step-by-step explanation:

(i)

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

(k + x)² = m² + (k - x)² ← expand factors on both sides using FOIL

k² + 2kx + x² = m² + k² - 2kx + x² ( add 2kx to both sides )

k² + 4kx + x² = m² + k² + x² ( subtract k² + x² from both sides )

4kx = m² ( divide both sides by 4k )

x = [tex]\frac{m^2}{4k}[/tex]

----------------------------------------------------------

(ii)

the area A of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = m and h = k - x

A = [tex]\frac{1}{2}[/tex] m (k - x) ← substitute x = [tex]\frac{m^2}{4k}[/tex]

  = [tex]\frac{1}{2}[/tex] m ( k - [tex]\frac{m^2}{4k}[/tex] ) ← distribute parenthesis

  = [tex]\frac{mk}{2}[/tex] - [tex]\frac{m^3}{8k}[/tex]  ← express as a single fraction

  =  [tex]\frac{4mk^2-m^3}{8k}[/tex] ← factor out m from each term in the numerator

  = [tex]\frac{m(4k^2-m^2)}{8k}[/tex] ← factor (4k² - m² ) as a difference of squares

  = [tex]\frac{m(2k+m)(2k-m)}{8k}[/tex]

Correct option is third option - " the original amount of the loan "

x value would be the time in months and y value would be the loan amount that is left.

The y-intercept is basically the point where x is 0. So, we can say the y-intercept would be when time is 0.

That's basically when the loan started and the y-value represents the full loan amount., which is $22,000.

correct option is third option -- "the original amount of the loan".

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Answer:

17

Step by step explanation

15-6=21

38-21=17

Refer to the attachment for the diagram:

The length of HC rounded to 1 DP = 9.3 cm²

What is a cuboid?

A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is a convex polyhedron that has eight vertices, twelve edges, and six rectangular faces. A rectangular prism is another name for a cuboid. A cube is an object with six square faces on a cuboid.

From the figure,

length (l)= 5.4 cm = AB

width (w)=3.4 cm = BC

height (h)= 6.7 cm = CG

Formula:

Length of diagonal = √(l²+w²+h²) = √(5.4²+3.4²+6.7²) = 9.25 cm²

Rounded to 1 decimal point:

9.3 cm²

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Answer:I can’t see image on mobile

Step-by-step explanation:

h

Answer:

16

Step-by-step explanation:

p = 2j

p+j = 48

2j + j = 48

3j = 48

3/3 j = 48/3

j = 16

Answer:

G. 12

Step-by-step explanation:

Step 1: Use PEMDAS to start solving

Step 2: Solve the problem

The standard error of the mean is approximately 0.79 (rounded to two decimal places).

Define standard error ?

The standard error is a statistical term that measures the variability of a sample mean or an estimate of a population parameter from its true value. It is the standard deviation of the sampling distribution of the mean. In simpler terms, the standard error measures how much the sample mean varies from the true population mean. A smaller standard error indicates that the sample mean is more likely to be representative of the population mean, while a larger standard error suggests that the sample mean may not be as reliable.

The formula for the standard error of the mean is:

[tex]SE = \frac{\sigma }{\sqrt{n}}[/tex]

Where σ is the population standard deviation and n is the sample size.

Substituting the given values:

[tex]SE =\frac{5}{\sqrt{40}}[/tex]

SE ≈ 0.79

Therefore, the standard error of the mean is approximately 0.79 (rounded to two decimal places).

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Answer:

I believe that these are the answers.

Step-by-step explanation:

1. 2(6+4x)=8x+6    No Solution

2. 2(4x − 2) = 10x – 6  x=1

3. 7+x=2x+6    x=1

4. 2x+2=-2(1-x)   No Solution

Hope this helps

Answer:

Step-by-step explanation:

2(6 + 4x) = 8x + 6

12 + 8x = 8x +6

12 -6 + 8x = 8x + 6 -6

6 + 8x = 8x

6 + 8x - 8x = 8x -8x

6 = 0

no solution

2(4x -2) = 10x -6

8x -4 = 10x -6

8x - 4 +4 = 10x -6 +4

8x = 10x - 2

8x - 10x = 10x -10x -2

-2x = -2

-2x/-2 = -2 /-2

x = 1

7 + x = 2x +6

7 -6 + x = 2x +6 -6

1 + x = 2x

1 + x -x = 2x -x

1 = x

2x + 2 = 2(1 - x)

2x + 2 = 2 - 2x

2x +2 -2 = 2 -2 - 2x

2x = -2x

2x + 2x = -2x + 2x

4x = 0

4x/4 = 0/4

x = 0

I could not get x = all real numbers for any of the equations.

The smallest factor (other than 1) of 111 would be 15.

Option (A) is correct.

What is the smallest factor of a number other than 1?

A number can have a maximum of one factor, and only one has that many factors. Every other number has more than one factor.

Prime numbers have two factors, for example, 2,3,5,7,11...,2729...,2927, 9999959999, and so on. Prime numbers have only one factor the number itself.

The factors of 111 are 1, 3, 37, and 111.

for option (A), the factors of 15 are 1, 3, 5, and 15.

for option (B), the factors of 22 are 1, 2, 11, and 22.

for option (C), the factors of 28 are 1, 2, 4, 7, 14, and 28.

for option (D), the factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

So if you observe all the options, the smallest factor (other than 1) of 111 would be 15.

Hence, the smallest factor (other than 1) of 111 would be 15.

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After 2 hours Serenity and Mystic will be 72 miles apart

The speed of the Serenity  = 16 mph

The time taken = 2 hours

The speed = Distance / Time

The distance = The speed × time

The total distance traveled = 16 × 2

= 32 miles

The speed of the Mystic  = 20 mph

The time taken = 2 hours

The distance = The speed × time

Total distance traveled = 20 × 2

= 40 miles

Total distance = 32 + 40

= 72 miles

Hence, after 2 hours Serenity and Mystic will be 72 miles apart

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The addition or subtraction of a constant to a function will change its position in the cartesian plane. Depending on the sign of the constant, it can shift upwards or downwards.

Let a quadratic function be f(x) = 2x^2.

Let c be the positive constant.

It is now necessary to determine what will happen if we add or subtract a constant to the function.

The function f(x) = 2x^2 is a parabola opening upwards.

Now, if we add the positive constant c, then the graph of the function will shift upwards by c units and nothing will change. If we subtract the positive constant c, then the graph of the function will shift downwards by c units.

Thus, the addition or subtraction of a constant to a function will change its position in the cartesian plane. Depending on the sign of the constant, it can shift upwards or downwards.

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Answer:

5 days

Step-by-step explanation:

you need to make 5 3/4 into an improper fraction

(5x40)+3/4= 23/4

make all fractions have a common denominator

1/2 = 2/4    

you multiply numerator and denominator by 2 to get a denomintator of 4

23/4 ÷ 2/4

to divide a fraction you turn the second fraction into a reciprocal

2/4 in a reciprocal is 4/2

then you multiply the fractions together

23x2/2x4

simlplify to get

46/8 = 23/4

make into a mixed number by dividing by 4

5 3/4

Answer:

1/18

Step-by-step explanation:

Since x=2/3, we can plug in 2/3 for x, and we have 2/3 divided by 12.

Based on what we know about fractions, we can say that dividing by 12 is the same as multiplying by 1/12.

Therefore, we have the expression 2/3*1/12.

Next, we get 2/36, which can be simplified into 1/18.

Answer:-4<x<=5

Step-by-step explanation:

The white dot is above -4 and the filled in dot is above 5. Put that together plus the correct inequality signs and you get -4<x<=5

Answer: [tex]-4 < x\leq 5[/tex]

Step-by-step explanation:

The inequality ends at 4 and it is colored white so x must be greater than -4 therefore the first expression is x > -4 or -4 < x.

The other side of the inequality ends at 5 and it's colored black so x is less than or equal to 5. Therefore the second expression is [tex]x\leq 5[/tex].

if we merge the two equations together than we would get [tex]-4 < x\leq 5[/tex].

I hope that helped you.

:)

Answer:

(g.f)(-2) = -44

Step-by-step explanation:

Given:

f(x) = 3x² - 3x - 7

g(x) = -3x - 10

[tex] \rm \implies(g.f)( - 2) = [3 {( - 2)}^{2} - 3( - 2) - 7][ - 3( - 2) - 10] \\ \\ \rm \implies(g.f)( - 2) = [3 (4) + 6 - 7][ 6 - 10] \\ \\ \rm \implies(g.f)( - 2) =(12 - 1)( - 4) \\ \\ \rm \implies(g.f)( - 2) =11 \times ( - 4) \\ \\ \rm \implies(g.f)( - 2) = - 44[/tex]

Answer:

it is called horizon simple question simple answer

The new coordinate after the translation of 4 point left is  (-3, -2)

Translation

Translation is done by moving the vertices of the figure the prescribed number of spaces on a coordinate plane and then drawing the new figure.

Given,

Here we have the points (1, -2).

Now, we have to translate this point by left side by 4 point.

In order to translate the given point we have to take the value of the x coordinate and then we have to subtract the translation point from it,

So, the calculation for this one is look like

Here the value of the x coordinate is 1

And now we have to subtract 4 from it,

So,

=> 1 - 4

=> -3

Therefore, the new coordinate after the translation is (-3, -2).

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Answer:

49.87

Step-by-step explanation:

Answer:

Break even 126 units

105x - (90x + 1890)  Profits will be revenue minutes expenses.

The second answer.

Step-by-step explanation:

105x = 90x +1890  Subtract 90x from both sides

15x = 1890  Divide both sides by 15

x 126

They need to sell 126 units to break even.

105(91) -[90(91) + 1890]

9555-8190-1890

9555 - 16380

-6825

Selling 91 units will produce a loss of 6825

[tex]=5m-2m+8+12+6m\\=5m-2m+6m+8+12\\=3m+6m+20\\=9m+20[/tex]

The answer is 9m+20,it is equivalent to the expression in the question.

Answer: The answer to this question would either be 8 or it would be 7.

Answer: Can you check the "Recently Deleted" folder? You may find this in the "My Files" app. If this does not work, and you can confirm you have no backups whatsoever, then your photos are as good as gone. This has happened to Android devices in the past (or Samsung devices mostly) where all their media would just disappear. As far as I know, all Samsung themselves say is to restart your phone to try your luck. An app crashing or some form of corrupt media may have caused your photos to go missing. There may, however, still be a small chance that the photos are there, somewhere on your phone, you just can't find them. I advise checking the storage in "Device Care" and see if the Gallery app is using much storage. If it is, I would connect it to a PC and look through the files again.

Step-by-step explanation:

For at least 6 pictures she must take to have at least a 4/5 chance of having a picture in which everyone is looking at the camera.

Let p define the probability of success in a Bernoulli trial, and P define the probability Sara wants to reach "at least" and n be defined as the number of trials. Then,

= 1 - (1 - p)ⁿ ≥ P

= (1 - p)ⁿ ≤ 1 - P

= n ≥ ln(1-P)/ln(1-p)

= n ≥ ln (0.2) / ln (0.75)

=5.6

Hence for at least n=6 photos, there is at least a chance of 4/5 that everyone is looking at the camera.

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To see the attachment of graph of linear inequality.

Given,

In the question:

The linear inequality is given as:

y ≤ x -5

To graph the above inequality.

Now, According to the question:

What is linear inequality?

Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Math. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Math are polynomial inequality, rational inequality, absolute value inequality.

Hence, To see the attachment of graph of linear inequality.

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Answer:

C

Step-by-step explanation:

A = 3 11/12

B = 3 2/3

C = 4 1/4

D = 3 3/4

4 1/4 is equivalent to 4 3/12.

The measure of the angle that isn't labeled are:

∠B = 100

∠K = 100

∠L = 41

∠M = 86

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

Two congruent figures.

Each figure's total sum of the angles must be 360.

The figures are congruent so the corresponding angles must be equal.

From the first figure we get,

∠A = 133 ( Corresponding angles )

∠A + ∠B + ∠C + ∠D = 360

133 + ∠B + 41 + 86 = 360

∠B = 360 - 260

∠B = 100

Now,

∠k = ∠B = 100

∠L = ∠C = 41

∠M = ∠D = 86

Thus,

The measure of the angle that isn't labeled are:

∠B = 100

∠K = 100

∠L = 41

∠M = 86

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Equation A. (8(4+x) = 72, and answer C are your responses (5 hours).

What do babysitters for young children go by?

Caregiver, governess, nanny, au pair, infant-care employee, day-care provider, mother's assistant, and mother or father are a few alternative terms for babysitters that seem more professional.

How old do you need to be to watch children?

While most babysitters begin their careers between the ages of 11 and 14, there is no set legal minimum age requirement in most places. At age eleven, you could start a red cross babysitting route. You are old enough if your parents still remember you and think you are trustworthy enough to

Find out how much of her Friday's earnings was left over. four*8= 32

She has 72 dollars in total, of which 32 dollars were earned on Friday; the remaining 56 dollars were earned on Saturday. 72-32 equals forty.

She made 40 dollars on Saturday at an hourly rate of $8, so you divide 40 by 8 to get 5, and so on. On Saturday, she worked for five hours.

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The value of x is -1 4/5 i.e, Therefore, the correct option is A

Define Algebraic Expression

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it. In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

Given expression,

-2/9 x=2/5

Isolate the variable, x

x = (2 * 9) / ( 5 * -2)

x = - (9/5) or -1 4/5

Hence, the value of x is -1 4/5 i.e, option(A)

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