The candy produced by a company has a sugar level that is normally distributed with a mean of 16.8 grams and a standard deviation of 0.7 grams. The company takes readings of every 10th bar off the production line. The reading points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4. Is the process in control or out of control and why?

Answers

Answer 1

Answer:

It is not in control  because at least two of the  of the data points are more than 2 standard deviations from the mean are far apart.

18.3,18.4 > 18.2 Upper Control limit

14.9, > 15.4 Lower Control Limit

Step-by-step explanation:

Find the limits using μ ± 3σ  and μ ± 2σ

Using μ ± 3σ

Upper Control Limit = μ +  3σ = 16.8 + 3(0.7)= 16.8 + 2.1= 18.9

Lower Control Limit = μ - 3σ =16.8 - 3(0.7)= 16.8 - 2.1= 14.7

Using μ ± 2σ

Upper Control Limit = μ +  2σ = 16.8 + 2(0.7)= 16.8 + 1.4= 18.2

Lower Control Limit = μ - 2σ =16.8 - 2(0.7)= 16.8 - 1.4= 15.4

The data points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4.

Rearranging these data points   14.9, 16.1, 16.5, 17.3, 17.4, 18.3,18.4.

We see from the above that it is out of control because the values jump above and below the mean.

It is not in control as two of the  of the data points are more than 2 standard deviations from the mean are far apart.


Related Questions

Randy Houck deposited his paycheck for $385.15, a refund check from a mail

order purchase for $125.95, and $37.20 in cash.

Answers

Answer:

The correct option is c. $548.30.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. Please, see the attached pdf file for the complete question.

Also Note: This template does not allow the explanation to be added and saved here as it keeps on indicating that it contains some swearwords. The explanation is now given in the attached pdf file. Please, see the attached pdf file for the answer and explanation.


PLS HELP WILL GIVE BRAINLIEST AND POINTS PLS HELP



















A bird supply wholesaler wants to make a seed that costs $0.75 per pound out of 50 pounds of a $0.60 per pound seed and some
amount of a $0.90 per pound seed. How much of the $0.90 per pound seed should the wholesaler use to make his 50.75 per pound
seed?

A)
2 pounds

B)
30 pounds

c)
50 pounds

D)
60 pounds

Answers

Answer:

it is c

Step-by-step explanation:

The answer is definitely c

Harold brought 5 apples for $3.90.What is the unit price?

Answers

Answer:

.78

Step-by-step explanation:

3.90/5 = .78

Guys can you please help me ?!!!!!!):

Answers

Answer:

12+20=32

32/2=16

20-16=4

Vertex x-int is 4.

Step-by-step explanation:

Laura bought apples to send to her friend Brad by mail. Because of mailing restrictions, the total mass of the apples cannot exceed 23 pounds. If the mass of each apple is 5 ounces, what is the maximum number of apples Laura can send?



A.72
B.73
C.74
D.75​

Answers

Answer:

D. 75 bc it should be that

Answer:

B 73

so I had  four answer choices A 72 B 73 C 74 D 75 Someone had put that the answer was D . But,  I had this same problem on  my test I picked D and got it wrong. so clearly its not D. theses are medium apple's 1lb is 16oz I apple is 5oz 23lbs = 368oz 3 apples =15oz

take 368 and divided it by 5 you get 73.6

Rewrite the following to show the distributive property
4x(5+3)

Answers

Step-by-step explanation:

4x+8

basically u solve the number that is in parentheses then you are left with the number with a variable so u can't solve so that's ur equation

Answer:

32x

Step-by-step explanation:

1. rewrite

4x(5)+4x(3)

4(3) means 4*3

2. multiply

4x(5)= 20x

4x(3)= 12x

20x+12x

3. combine like terms

20x+12x= 32x

32x

If this is right can you make me brainliest

Solve the inequality for X.
4x<32

Answers

Answer:

x is less than 8

The IQ scores of the middle 50% of a population can be written as

I

100

15

where x is a person's IQ. Solve the inequality to find the IQ scores for the middle 50% of the population.

x 270 and x s 130

Ox570 and x 2 130

Oxs 90 and x 2 110

x 290 and x s 110

Answers

Complete question :

The IQ scores of the middle 50% of a population can be written as (x - 100) / 15 ≤ 2/3

Answer: 90 ≤ x ≤ 110

Oxs 90 and x 2 110

Step-by-step explanation:

Given the inequality:

The middle 50% of the population :

(x - 100) / 15 ≤ 2/3

The upper bound :

(x - 100) / 15 ≤ 2/3

multiply both sides by 15

(x - 100) / 15 * 15 ≤ 2/3 * 15

(x - 100) ≤ 2/3 * 15

x - 100 ≤ 10

x ≤ 10 + 100

x ≤ 110

The lower bound :

- (x - 100) / 15 ≤ 2/3

(-x + 100) / 15 ≤ 2/3

multiply both sides by 15

(-x + 100) / 15 * 15 ≤ 2/3 * 15

(-x + 100) ≤ 2/3 * 15

-x + 100 ≤ 10

-x ≤ 10 - 100

-x ≤ - 90

x ≤ 90

90 ≤ x ≤ 110

who wants to play rocket league with me

I'm gold3 so sry​

Answers

Answer:

Bet

Step-by-step explanation:

Answer:

Your on

Step-by-step explanation:

Does someone have a fennec in rocket league and someone who can trade it on switch?

Which graph shows the points (−11
2
, 1
2
) and (1.5, −0.5) plotted correctly?

On a coordinate plane, a point is 0.5 units to the right and 1.5 units up. Another point is 0.5 units to the left and 1.5 units down.
On a coordinate plane, a point is 1.5 units to the left and 0.5 units up. Another point is 1.5 units to the right and 0.5 units down.
On a coordinate plane, a point is 0.5 units to the left and 1.5 units up. Another point is 0.5 units to the right and 1.5 units down.
On a coordinate plane, a point is 1.5 units to the left and 0.5 units down. Another point is 1.5 units to the right and 0.5 units up.

Answers

Answer:

b

Step-by-step explanation: got it right on edge

Answer:

B

Step-by-step explanation:

got it right on edge

If the terminal point determined by t is (-5,-4), then
\sin (t) =
;
\cos (t) =
;
\tan (t) =
.

Answers

Answer:

The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].

Step-by-step explanation:

Let [tex]\vec u = (x,y)[/tex]. From Trigonometry, we remember the following definitions for the trigonometric ratios, dimensionless:

[tex]\sin t = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)

[tex]\cos t = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

[tex]\tan t = \frac{y}{x}[/tex] (3)

If we know that [tex]x = -5[/tex] and [tex]y = -4[/tex], then the trigonometric ratios are, respectively:

[tex]\sin t = \frac{-4}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]

[tex]\sin t \approx -0.625[/tex]

[tex]\cos t = \frac{-5}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]

[tex]\cos t \approx -0.781[/tex]

[tex]\tan t = \frac{-4}{-5}[/tex]

[tex]\tan t = 0.8[/tex]

The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].

Which of the following equations are written in standard form?

А. 3x + 5y = -7

B. 2y + x = 12

C. 5x+10y = -21

D. 1.2x + 5y = 23.7
PLEASE HELP ME ASAP

Answers

Answers A, C, and D are written in standard form.

Answer B is NOT written correctly in standard form.

DEF JIH

Someone help me please

Answers

Answer:

ED is congruent to IH

ED is congruent to IH

Factor completely
w^2 + 12w -f^2+ 36

Answers

Factored:
(w+6-f)x (w+6+f)

This is urgent PLEASE help me

Answers

Answer:

at -6

Step-by-step explanation:

hope that help

3(x – 2) – (1 – x) > 2x – 7

Answers

The answer is x > 0

Write the standard form of the equation y - 6 = 3/4 (x - 5).

Answers

Answer:

3x-4y=-9

Step-by-step explanation:

Answer:

[tex]y=\frac{3}{4}x+\frac{9}{4}[/tex]

Step-by-step explanation:

[tex]y-6=\frac{3}{4}(x - 5)[/tex] to y = mx  + b

[tex]y-6=\frac{3}{4}(x-5)\\\\Distribute;\\\\y-6=\frac{3}{4}x-\frac{15}{4} \\[/tex]

Add 6 to both sides;

[tex]-\frac{15}{4}+6 =-\frac{15}{4}+\frac{6}{1} \\\\\frac{-15+24}{4} =\frac{9}{4}[/tex]

WILL GIVE BRAINLIEST but you have to show your work

Answers

Answer:

x=-3

Step-by-step explanation:

[tex]\sqrt{x+7}-x=5\\\sqrt{x+7}=5+x\\x+7=x^2+10x+25\\x^2+9x-18=0\\(x+3)(x+6)=0\\x=-3, x=-6\\\sqrt{-3+7}-(-3)=5\\\sqrt{-6+7}-(-6)=7=5[/tex]

x=-6 is extraneous because 7 does not equal to 5

x=-3 is the answer because 5=5

please find the circumceneter of the triangle

Answers

Answer:

Draw the perpendicular bisector of each line of each line.

Step-by-step explanation:

Because this is a right triangle, the circumcenter will always be located at the midpoint of the hgypotenuse.   Locate those coordinates and you have the circumcenter.

Does anyone know the answers to this?

Answers

Answer:

i think the correct answer of these qusion is `B´

Answer:it’s 5

Step-by-step explanation:

Help pls :))))))))))))))

Answers

Answer:left is 7 right is 6

Step-by-step explanation:

left is 7 right is 6

Answer:

the right side is 6 and the left side is 7

Step-by-step explanation:

These triangles are similar. Since the bottom side goes from 15 to 5, that means you divide the other 2 sides by 3 also.

3 fair coins are tossed.
a) What is the probability of getting all 3 heads? (My Answer is 1/8)
b) What is the probability of getting all 3 tails? (My Answer is 1/8)
c) What is the probability of getting all 1 head and 2 tails? (My Answer is 3/8)
d) What is the probability of getting all 2 heads and 1 tail? (My Answer is 3/8)
My Question:
e) What do the probabilities from parts (a) to (e) add up to?

Answers

Answer:

1/8 + 1/8 + 3/8 + 3/8 = 2/8 + 6/8 = 8/8 = 1

So the answer would be 1.

An item cost $420 before tax, and the sales tax is $33.60. Find the sales tax

Answers

Answer:

8%

Step-by-step explanation:

used a calculator

A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with O's representing Incorrect answers
and 1's representing correct answers, to answer the following question:
What is the probability of correctly guessing at random exactly one correct answer? Round to the nearest whole number.

Answers

Answer:

It is 4

Step-by-step explanation:

help me pleaseeeeeeeeeeee

Answers

Step-by-step explanation:

57+90+x=180

147+x=180

x=33

<4= 33°

The equation x^2/24^2 - y^2/b^2 = 1 represents a hyperbola centered at the origin with a directrix of x = 576/26.

What is the value of b?
A. 10
B. 16
C. 20
D. 26​

Answers

Answer:

a

Step-by-step explanation:

edge

The value of B is 16.

The correct option is B

What is a quadratic equation?

A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

The standard equation for a hyperbola centered at the origin is:

(x²)/(a²) - (y²)/(b²) = 1

where "a" and "b" are the lengths of the transverse and conjugate axes, respectively. To find the value of "b" for the given hyperbola equation, we need to first rewrite it in the standard form.

(x²)/(24²) - (y²)/(b²) = 1

Multiplying both sides by (24²)(b²), we get:

b²(x²) - (24²)(y²) = (24²)(b²)

Dividing both sides by (24²), we get:

b²(x²)/(24²) - y² = b²

Comparing this with the standard equation, we can see that a = 24 and b is the square root of the constant term, which is b² = 576. Therefore, b = 24.

However, the given directrix of x = 576/26 is not consistent with the equation of the hyperbola. The directrix for a hyperbola with center at the origin and transverse axis along the x-axis is given by x = a²/b. Using the value of a = 24, we can find the directrix as:

x = (24²)/b

Setting this equal to 576/26, we get:

(24²)/b = 576/26

Solving for b, we get:

b = 16

Therefore, the correct answer is (B) 16.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

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COLOR THEME
O Q ZOOM
5. Mrs. All collected notebook paper from her students at the beginning of the
school year. The model is shaded to show the fraction of notebook paper
that Mrs. Ali used in each of the following three months.
First month
Second month
Third month
What fraction of the notebook paper Mrs. All collected was used during
these three months?

Answers

Answer:

6

Step-by-step explanation:

which table of values matches the equation y=2x-3

Answers

Answer:

What are the possible answer??/

Step-by-step explanation:

The set of points satisfying the equation y = 2x - 3 is a. {(0, -3), (1, -1), (1.5, 0), (2,1)}.

An equation is the combination of 2 or more expressions separated by the equality sign(=), signifying the equality of expressions.

To obtain the set of points satisfying the equation y = 2x - 3.

The given equation is y = 2x - 3.

Let's take x = 0,

y = 2 × 0 - 3 = -3,

the point is (0, -3).

Let's take y = 0,

0 = 2x - 3

2x = 3

x = [tex]\frac{3}{2}[/tex]

x = 1.5,

the point is (1.5, 0).

Let's take x = 1,

y = 2 × 1 - 3 = -1,

the point is (1, -1).

Let's take y = 1,

1 = 2x - 3

2x = 1 + 3

2x = 4

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

x = 2,

the point is (2,1).

Hence, the set of points satisfying the equation is {(0, -3), (1, -1), (1.5, 0), (2,1)}.

Learn more about Equation here:

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The complete question is as follows:

Which table of values matches the equation y = 2x - 3,

a. {(0, -3), (1.5, 0), (1, -1), (2,1)}.

b. {(0, -2), (1.5, 0), (1, -1), (2,1)}.

c. {(0, -3), (1.5, 0), (1, -4), (2,1)}.

d. {(-1,1), (0, -3), (1.5, 0), (1, -1)}.

Help please
The answer choices are
A) x=3/x
B)x=9/x
C)0=3/x+x
D)0=9/x+x

Answers

Answer:

A

Step-by-step explanation:

PLEASE HELP!!
finding square roots of negative numbers

show your work

1-) V-18

2-) 2V-16

Answers

Answer:

Work shown below!

Step-by-step explanation:

[tex]\sqrt{-18}=\sqrt{18i^{2} } =\sqrt{2*9i^{2} }=3i\sqrt{2}[/tex]

[tex]2\sqrt{-16} =2\sqrt{16i^{2} } =4i*2=8i[/tex]

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