A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 429.0429.0 gram setting. It is believed that the machine is underfilling the bags. A 4040 bag sample had a mean of 425.0425.0 grams. A level of significance of 0.020.02 will be used. Determine the decision rule. Assume the standard deviation is known to be 11.011.0.

Original Unit Price:

    $10.29 / 4.2 kg = $2.45/kg

New Unit Price:

    $9.18 / 3.6 kg = $2.55/kg

The price went up by $0.10/kg.  If we compare that (divide that) by the starting unit price of $2.45, we get:

       $0.10 / $2.45 ≈ 0.040816326530612

                              ≈ 4.0816326530612 %

(You can round as accurately as your teacher needs.)

Answer:

if you're finding out that top corner it will be 64 because a right angle is 90 then 90+26= 116 and 180-116= 64

The height of the skyscraper is D. 156.26 ft

To determine the height of the skyscraper,  we need to consider the following trigonometric identities listed thus;

From the information given, we have that;

Angle, θ = 38 degrees

The shadow casted is the adjacent side of the angle and is 200 ft

The height off the skyscraper is the opposite side

Now, using the tangent identity, we have that;

tan θ = opposite/adjacent

tan 38 = h/200

cross multiply the values, we get;

h = 200(0.7812)

Multiply the values

h = 156. 26 ft

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The lower bound of the 90% confidence interval for the population mean is 44.3.

To calculate the lower bound of the 90% confidence interval for the population mean, we will use the formula:

Lower bound = sample mean - (1.645 * (standard deviation / square root of sample size))

Calculate the sample mean:

Sample mean = (42.3 + 59.2 + 45.4 + 55.8 + 49.0 + 39.7 + 56.2 + 54.6 + 45.8 + 60.6 + 55.7 + 46.1 + 58.3 + 44.4) / 14 = 51.09

Calculate the sample standard deviation:

Sample standard deviation = √(((42.3 - 51.09)2 + (59.2 - 51.09)2 + (45.4 - 51.09)2 + (55.8 - 51.09)2 + (49.0 - 51.09)2 + (39.7 - 51.09)2 + (56.2 - 51.09)2 + (54.6 - 51.09)2 + (45.8 - 51.09)2 + (60.6 - 51.09)2 + (55.7 - 51.09)2 + (46.1 - 51.09)2 + (58.3 - 51.09)2 + (44.4 - 51.09)2) / 13) = 8.37

Calculate the lower bound:

Lower bound = 51.09 - (1.645 * (8.37 / √14)) = 44.3

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True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Answer:

82/15 but you can also write it as 5 7/15

Step-by-step explanation:

1 4/5= 27/15 3 2/3=55/15

27/15+55/15= 82/15

82/15 = 5 7/15

Answer: 0.0385 is the probability.

Step-by-step explanation:

The value of h in the equation h = 6q - 2u , when q = 3 and u = -5 is h = 28 .

In the question ,

it is given that ,

the equation is h = 6q - 2u ,

we have to find the value of h , when q = 3 and u = -5 .

Substituting the value of q = 3 and u = -5 in the equation ,

we get,

h = 6q - 2u

h = 6(3) - 2(-5)      ....because 6(3) = 18   and -2(-5) = 10

h = 18 + 10

Simplifying the above equation further ,

we get ,

h = 28

Therefore , The value of h in the equation h = 6q - 2u , when q = 3 and u = -5 is h = 28 .

The given question is incomplete , the complete question is

Find the value of h in the equation h = 6q - 2u , when q = 3 and u = -5  ?

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Answer:

\(Probability = \frac{1}{969}\)

Step-by-step explanation:

Given

\(Members = 19\)

\(Selection = 3\)

Required

Determine the probability of selecting Jim, Bruce and Valerie

First, we need to calculate the possible number of selections.

This is calculated using combination formula:

\(Selection = ^nC_r\)

\(Selection = ^{19}C_3\)

\(Selection = \frac{19!}{(19-3)!3!}\)

\(Selection = \frac{19!}{16!3!}\)

\(Selection = \frac{19 * 18 * 17 * 16!}{16! * 3 * 2 * 1}\)

\(Selection = \frac{19 * 18 * 17}{3 * 2 * 1}\)

\(Selection = \frac{19 * 18 * 17}{6}\)

\(Selection = 969\)

Selection of Jim, Bruce and Valerie is only 1 selection of the 960 possible selection.

So:

\(Probability = \frac{1}{969}\)

The probability that Jim, Bruce, and Valerie are selected in any​ order is \(\rm P=\dfrac{1}{969}\) and this can be determined by using the given data.

Given :

Assume that Jim, Bruce, and Valerie are three of the 19 members of the​ class and that three of the class members will be chosen randomly to deliver their reports during the next class meeting.

In order to determine the probability that Jim, Bruce, and Valerie are selected in any​ order, first determine the total number of possible selections.

The total number of possible selections is given by:

\(\rm S = \; ^nC_r\)

\(\rm S = \; ^{19}C_3\)

\(\rm S = \dfrac{19!}{16! \times 3!}\)

S = 969

So, the probability that Jim, Bruce, and Valerie are selected in any​ order is:

\(\rm P=\dfrac{1}{969}\)

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Answer:

  none of the above

Step-by-step explanation:

The attached graph shows that none of f(-2), f(2), or f(4) matches any of g(-2) or g(4).

None of the offered statements is true.

___

Please report this problem to your teacher.

Answer:

The answer is not C

Step-by-step explanation:

I think the answer is D sooooo Pray it will be

UPDATE IT IS D

HOPE THIS HELP STAY SAFE

The name used for 2/3 can be two-thirds. Two out of three can be also used, but it can be problematic.

For example, when you say you got two out of three in a test, but the test was out of 50 marks.

Naming it two out of three is lengthy and can be misunderstood.

Answer:

the image shows reduction

Step-by-step explanation:

1.7

Answer:

0.5

Step-by-step explanation:

First divide 1.7 to 3.4 and then you get your answer

Hope this helps :)

Answer:

yes

Step-by-step explanation:

The definite integral which represents the area of the region in the fourth quadrant enclosed by r = 10 - cos is A = 210π - 80/8

Given:

the area of the region in the fourth quadrant enclosed by r = 10 - cos

we know that:

A = (limit a to b)∫ r²/2 dθ

we know that area of first quadrant = area of fourth quadrant (by symmetry)

A = (limit θ=0 to π/2)∫ (1-cosθ)²/2 dθ

= (limit θ=3π/2 to 2π)∫ (1-cosθ)²/2 dθ

A = 1/2(limit 0 to π/2)∫ (100 - 20cosθ + cos²θ)dθ

A = 1/2 (limit 0 to π/2)∫ (100 - 20cosθ + 1/2 + cos2θ/2)dθ

= 1/2 (limit 0 to π/2) ∫ (201/2 - 20cosθ + cos2θ/2)dθ

= 1/2 ( 201/2 θ- 20sinθ + sin2θ/4) limit π/2 to 0

= 1/2 ( 201π/4 - 20 + 0)

= 1/2 ( 210π - 80/4)

Hence we get the required answer.

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Answer:

-8

Step-by-step explanation:

The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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Answer/Step-by-step explanation:

✅The y-intercept of the graph of Monday's storm is the amount of precipitation recorded at the beginning of the tracking or when the tracking started.

✍️The y-intercept of the graph of Monday's storm is 0 mm, when time = 0 min.

✅The y-intercept of the graph of Thursday's storm also has the same meaning as that of Monday's storm.

✍️The y-intercept of the graph of Thursday's storm is 0 mm, when time = 0 min.

Answer:

4\3 hrs

Step-by-step explanation:

its 4\2 trust me.

Answer:

Step-by-step explanation:

question no . 5

ratio of angle L

take angle as reference angle

using cos rule

cos L = base / hypotenuse

= 4/5

ratio of angle N

take angle N as reference angle

using sin rule

sin N = opposite / hypotenuse

= 4/5

for measure of angle L

cos L = 4/5

cos L = 0.8

L = \(cos^{-1}(0.8)\)

L = 36.9

for meanure of angle N

sin N = 4/5

sin N = 0.8

N = \(sin^{-1}(0.8)\)

N = 53.1

Answer:

\( \frac{3}{x} \times \frac{4}{7} = \frac{3}{14} \\ \frac{12}{7x} = \frac{3}{14} \\ 21x = 168 \\ x = \frac{168}{21} \\ x = 8\)

the time is only 9:30 and fine in it lol

Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

The HCF of 560 and 729 is 1.

To find the HCF of 560 and 729, we use the Euclidean algorithm as follows;HCF of 560 and 729:Step 1: Divide the larger number by the smaller number, then find the remainder.729 ÷ 560 = 169 remainder 169Step 2: Divide the smaller number (i.e., 560) by the remainder (i.e., 169).560 ÷ 169 = 3 remainder 53.

Step 3: Divide the remainder from step 1 (i.e., 169) by the remainder from step 2 (i.e., 53).169 ÷ 53 = 3 remainder 10Step 4: Divide the remainder from step 2 (i.e., 53) by the remainder from step 3 (i.e., 10).53 ÷ 10 = 5 remainder 3Step 5: Divide the remainder from step 3 (i.e., 10) by the remainder from step 4 (i.e., 3).10 ÷ 3 = 3 remainder 1.

Step 6: Divide the remainder from step 4 (i.e., 3) by the remainder from step 5 (i.e., 1).3 ÷ 1 = 3 remainder 0The HCF of 560 and 729 is the last non-zero remainder, which is 1.

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Area of the path is 138sq.m

As shown in the given figure. We have been given that there is rectangular hall of

             length = 25m     and     breadth = 18m          

A path is constructed around the hall which has

                               width = 1.5m

We have been asked to find the area of the path constructed.

To find that we will first find the area of the hall.

Area of the hall = L * B square meter     (1)

                       where, L = length

                                    B = breadth

Now putting the values of L and B  in equation (1) we get

        Area of the hall = 25 * 18sq.meter

                                   = 450sq.m

Now we will find the area of the path.

Length of the hall including the path = 25 + 1.5 + 1.5 m

                                                             = 28m

Breadth of the hall including the path = 18 + 1.5 + 1.5m

                                                              = 21m

Area of the hall with path = L * B sq.m

                                          = 28 * 21sq.m

                                          = 588sq.m

Therefore, formula to find the area of the path = (Area of the hall including the path ) - (Area of the hall)

Now putting the corresponding values, we get

  Area of the path = 588 - 450sq.m

                               = 138sq.m

Hence area of the path is 138sq.m

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The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

yes

Step-by-step explanation:

the relationship between the hours and miles traveled is a direct relationship therefor would be able to be graphed as a linear function.

Answer:

?=8

Step-by-step explanation:

I substituted the ? for x

-3=x-11

first we want to isolate the x to do that, you have to find a way to move -11 to the other side. Well, x+0=x right? So all we have to do is find a way to go from -11 to 0! In this case you add 11 to both sides. This is very important so don't forget.

-3=x-11

+11    +11

-3+11=8

x=8

If you check your work, this should also go back in perfectly.

-3=8-11

or

-3=-11+8

I hope this helps!

Have a good day!