The weights of certain machine components are normally distributed with a mean of 8.04 g and a standard deviation of 0.08 g. Find the two weights that separate the top 3% and the bottom 3%. (These weights could serve as limits used to identify which components should be rejected)

Answers

Answer 1

Answer:

The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

Step-by-step explanation:

We are given that

Mean, [tex]\mu=8.04 g[/tex]

Standard deviation, [tex]\sigma=0.08g[/tex]

We have to find the two weights that separate the top 3% and the bottom 3%.

Let x be the weight of  machine components

[tex]P(X<x_1)=0.03, P(X>x_2)=0.03[/tex]

[tex]P(X<x_1)=P(Z<\frac{x_1-8.04}{0.08})[/tex]

=0.03

From z- table we get

[tex]P(Z<-1.88)=0.03, P(Z>1.88)=0.03[/tex]

Therefore, we get

[tex]\frac{x_1-8.04}{0.08}=-1.88[/tex]

[tex]x_1-8.04=-1.88\times 0.08[/tex]

[tex]x_1=-1.88\times 0.08+8.04[/tex]

[tex]x_1=7.8896[/tex]

[tex]\frac{x_2-8.04}{0.08}=1.88[/tex]

[tex]x_2=1.88\times 0.08+8.04[/tex]

[tex]x_2=8.1904[/tex]

Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.


Related Questions

true or false? A circle could be circumscribed about the quadrilateral below.

Answers

Answer: the answer is true

Answer:

false

Step-by-step explanation:

here the opposite angle of quadrilateral aren't supplematary the circle have no chance to be circumscribed

Classify the following triangle. Check all that apply.
113
Jason
A. Isosceles
B. Scalene
O C. Acute
D. Right
E. Equilateral
OF. Obtuse

Answers

Answer:

A

Step-by-step explanation:

Because 113 %45*45 that gives you isosceles

Answer:isosceles and right.

Step-by-step explanation:

Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie’s explanation?

Kylie is correct.
Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly.
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.

Answers

Given:

The given expression is:

[tex](-4x+9)^2[/tex]

According to Kylie,

[tex](-4x+9)^2=(-4x)^2+(9)^2[/tex]

[tex](-4x+9)^2=16x^2+81[/tex]

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

[tex](-4x+9)^2[/tex]

According to the perfect square trinomial [tex](a+b)^2=a^2+2ab+b^2[/tex].

[tex](-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2[/tex]

[tex](-4x+9)^2=16x^2-72x+81[/tex]

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

Answer:C, Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Step-by-step explanation:

Lines L and M are parallel.

Help I’ll make u brainliest if it’s right!!

Answers

Answer:

3 = 142°

Step-by-step explanation:

L // M

∠2 = 38°    {Corresponding angles are congruent}

∠2 + ∠3 = 180   {Linear pair}

38 + ∠3 = 180

       ∠3 = 180 - 38

3 = 142°

the answer is 142 degrees, get 180 degrees from a straight lines and subtract the acute angle from 180 to get the answer, 180-38

The equation of line a is y=3/4x-3 If line b runs parallel to line a and passes
through (-4,5), what would be the equation of line b?

Answers

Answer:

y = -4/3 x - 1/3

Step-by-step explanation:

y = -4/3 x + b

5 = -4/3 (-4) + b

15 = 16 + 3b

b = -1/3

y = -4/3 x - 1/3

The equation of line b, parallel to line a and passing through the point (-4,5), is y = (3/4)x + 8.

To find the equation of line b, which is parallel to line a and passes through the point (-4,5), we need to use the fact that parallel lines have the same slope.

Given that line a has the equation y = (3/4)x - 3, we can determine its slope. The slope of line a is the coefficient of x, which is 3/4.

Since line b is parallel to line a, it will also have a slope of 3/4.

Using the slope-intercept form of a linear equation (y = mx + b), we can substitute the slope and the coordinates (-4,5) into the equation to solve for the y-intercept, b.

5 = (3/4)(-4) + b

Simplifying, we have:

5 = -3 + b

Adding 3 to both sides, we find:

b = 8

Therefore, the equation of line b, parallel to line a and passing through the point (-4,5), is y = (3/4)x + 8.

To learn more about equation of line click on,

https://brainly.com/question/502902

#SPJ2

11t - 6t = 45 solve the equation and enter the value of t below ​

Answers

Answer:

[tex]t = 9[/tex]

Step-by-step explanation:

[tex]11t - 6t = 45[/tex]

[tex]5t = 45[/tex]

[tex]t = \frac{45}{5} [/tex]

[tex]t = 9[/tex]

Hope it is helpful....

Hey there!

[tex]\large\textsf{11t - 6t = 45}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{(11t - 6t) = \bf 5t}[/tex]

[tex]\large\textsf{NEW EQUATION: 5t = 45}[/tex]

[tex]\huge\textsf{DIVIDE 5 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{5t}{5}=\dfrac{45}{5}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because that helps solve for the t-value}[/tex]

[tex]\mathsf{\bold{t} = \dfrac{45}{5}}[/tex]

[tex]\huge\textsf{SIMPLIFY \& YOU HAVE YOUR ANSWER}[/tex]

[tex]\mathsf{\dfrac{45}{5}=\bf 9}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: t = \bf 9}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

which expression is equivalent to 100 + 20

Answers

Answer:

20(5+1) is equivalent to 100 + 20

Answer: 20 (5 + 1)

Step-by-step explanation: 20 x 5 = 100

                                             20 x 1 = 20

hopefully that helped :)

car travels at an average speed of 40 km/h for 0.5 hours.
How far did the car travel in km?

Answers

Given :-

A car travels at an average speed of 40 km/h for 0.5 hours.

To Find :-

The distance travelled.

Solution :-

We know that ,

→ Distance = Speed × Time

So that ,

→ Distance = 40 km/hr × 0.5 hr

→ Distance = 40km/hr × 1/2 hr

→ Distance = 20km .

Hence the required answer is 20km .

álgebra 1 solve
0.1 + 0.008 = 0.06 − 0.172

Answers

Answer:

x = -4.5

Step-by-step explanation:

Given:

0.1x + 0.008 = 0.06x − 0.172

Collect like terms

0.1x - 0.06x = -0.172 - 0.008

0.04x = - 0.18

x = -0.18/0.04

x = -4.5

Check:

0.1x + 0.008 = 0.06x − 0.172

0.1(-4.5) + 0.008 = 0.06(-4.5) - 0.172

- 0.45 + 0.008 = -0.27 - 0.172

-0.442 = -0.442

Fifty seven thousand nine hundred and eight

Answers

Answer:

Fifty seven thousand nine hundred and eight

57908

The answer is 57908 ….


The graph shows a proportional relationship. Which equation matches the
graph?
10
14
12
10
8
6
4
2
10
2
14
4
8
10 12
O A. y = x
O B. y = 2
O C. y = 50
O D. 9=152

Answers

Answer:

C.

Step-by-step explanation:

i guess it's letter c. y=50

Division method of 298116 using short Division method​

Answers

Answer:

I think you are being asked to evaluate the square root of 298116 by division method. Here is how its done:

546

51298116

125

104 81 10416

10861 0 0 6516 1006516

Please feel free to ask if something is not clear.

Here are the steps you will need to follow:

Step 1:

We find the largest square smaller than 29, that's 25. Subtract the 25 from the 29, which leaves 4, and enter a 5 as the first digit of your quotient.

Step 2:

104

Determine the area of the triangle.
96.0 square units
16.9 square units
192.0 square units
97.5 square units

Answers

Answer:

A. 96.0 square units

Step-by-step explanation:

The formula for the area of a triangle when we know the side length of two sides and the measure of an included angle of a triangle is given as:

A = ½*a*b*Sin C

Where,

a = 13

b = 15

C = 80°

Plug in the values into the formula

A = ½*13*15*Sin 80

A = 96.0187559

A = 96.0 square units (nearest tenth)

Answer:A

Step-by-step explanation: I took the test

Can some help me with this question?

Answers

I believe your answer would be B. because when it’s at year 0 it’s at 5, which is the y intercept. so it makes sense for it to answer B. sorry if i’m wrong but i hope it helps!

Answer:

B.

Step-by-step explanation:

f(t) = 5 * 2^t

At the y-intercept, t = 0.

f(0) = 5 * 2^0

f(0) = 5 * 1

f(0) = 5

At time = 0, the coin is worth $5.

The value of the y-intercept is the value of the coin at time = 0, which is when the coin was purchased.

Answer: B.

Pedro preparou 4kg de salada de frutas, que serviu igualmente entre 16 convidados. Quantos kg de salada de frutas cada convidado recebeu?

Answers

Answer: The amount of salat received by each guest is 0.25 kg

Step-by-step explanation:

We are given:

Mass of the fruit salad prepared = 4 kg

Total number of guests = 16

As the salad was divided equally amongst the guest, so when we divide the mass by the number of guests, we will get the amount of salad received by each guest.

Amount received by each guest = [tex]\frac{4kg}{6}=0.25kg[/tex]

Hence, the amount of salat received by each guest is 0.25 kg

Find the derivative of the function. f(x) = 2x + 6
a. 6
b. 2
c. -2
d. 1/2
PLEASE ANSWER WITH THESE ANSWERS

Answers

Hi there!

[tex]\large\boxed{\text{ B. 2}}[/tex]

f(x) = 2x + 6

Differentiating 2x = 2 (Power rule, dy/dx xⁿ =  nxⁿ⁻¹)

Differentiating a constant always equals 0.

Thus:

f'(x) = 2

use r =27 & x =3

[tex]-\frac{r}{9}+ 5x[/tex]

Answers

Answer:

12

Step-by-step explanation:

First substitute the equation with the variable replacements given:

-r/9 + 5x <--- Before

-27/9 + 5(3) <--- After

Next Solve the parts of the Equation

-27/9 + 5(3)

-3 + 15 <--- -27 divided by 9 is -3, 5 times 3 is 15.

= 12 <--- 15 - 3 = 12.

I hope this helps!

Answer:

12

Step-by-step explanation:

[tex]-\frac{27}{9}+5(3)[/tex]

- 3 + 15

15 - 3

12

Could somebody explain this to me please

Answers

Answer:

it will be 50°

Step-by-step explanation:

I'll give you some of the other answers to see if you get it:

m <1 : 180-50 =130

m <5: 180

m <4: 180

m<7: 50

Step-by-step explanation:

I'm not good at geometry but I was trying to explain that you need to follow all your rules at geometry so that you canget your answer right

hello what I can say to you is that you need to follow the rules whereby they say the corresponding angles to the exterior angles then make sure that you follow all the rules that straight line add up into 180 degrees say for example a is equal to b

Which set of ordered pairs does not represent a function? \{(5, -9), (6, -6), (-3, 8), (9, -6)\}{(5,−9),(6,−6),(−3,8),(9,−6)} \{(-6, -4), (4, -8), (-6, 9), (1, -3)\}{(−6,−4),(4,−8),(−6,9),(1,−3)} \{(1, -1), (-5, 7), (4, -9), (-9, 7)\}{(1,−1),(−5,7),(4,−9),(−9,7)} \{(8, -9), (-3, -6), (-4, 4), (1, -5)\}{(8,−9),(−3,−6),(−4,4),(1,−5)}

Answers

Answer:

[tex]\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}[/tex]

Step-by-step explanation:

Given

[tex]\{(5, -9), (6, -6), (-3, 8), (9, -6)\}[/tex]

[tex]\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}[/tex]

[tex]\{(1, -1), (-5, 7), (4, -9), (-9, 7)\}[/tex]

[tex]\{(8, -9), (-3, -6), (-4, 4), (1, -5)\}[/tex]

Required

Which is not a function

An ordered pair is represented as:

[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3),..........,(x_n,y_n)\}[/tex]

However, for the ordered pair to be a function; all the x values must be unique (i.e. not repeated)

From options (a) to (d), option (b) has -6 repeated twice. Hence, it is not a function.

On evaluating the expression 10(x - 20y) + 100x, the answer will be​

Answers

Answer:

110x -200y

Step-by-step explanation:

10(x - 20y) + 100x

Distribute

10x-200y +100x

Combine like terms

110x -200y

Answer:

110x−200y

Step-by-Step Explanation:

Given:

10(x−20y)+100x

First Step: Distribute

(10)(x)+(10)(−20y)+100x

10x+−200y+100x

Second Step: Combine Like Terms:

10x+−200y+100x

(10x+100x)+(−200y)

110x+−200y

Answer:

=110x−200y

PLZ I NEED ANSWER ILL GIVE BRAINLIEST

Answers

Answer:

2

Step-by-step explanation:

x coordinate = 2, y coordinate = 4.
(2,4)

225 students appeared at an examination. Among them, the ratio of the number of students who passed in the first and in the second division were 4.5. If 25 students passed in the third division and 29 students failed in the examination, find (i) the number of students who passed in the first and in the second division (ii) The ratio of the number of students who passed in the first second and in the third division.​

Answers

(i) the number of students who passed in the first and in the second division

         76+95=171 students

(ii) The ratio of the number of students who passed in the first second and in the third division.

RATIO  is    4:5:(25/19)       or          4:5: 1.3157894…….

225-29=196 (29students failed)

196-25=171. (Subtract 25 students from the 3rd division)

4x+5x= 171 (171 students from 1st and second division)

9x=171

         X=19

4x19=76        5x19= 95         1.31578.....x19= 25

Can someone help me with this math homework please!

Answers

Answer:

-7x and -2x

Step-by-step explanation:

because -7x and -2x are on the same side of the equation. the equal sign in the equation, -7x+12-2x = 23+13x is basically a different way of writing -7x+12-2x and 23+13x.

they're kind of like 2 separate equations. hope this helped! :)

Ah what is the length of XB? I really need to learn how to solve this

Answers

Answer:

5.28

Step-by-step explanation:

we use the formula

H²=B²+P²

and we will get the answer

branliest if it is helpful

Answer:

Angle BXY

using pythogoras theory which is

hyp*2= opp*2 +adj*2

hypothenus being the longest part of the angle BX=?

Step-by-step explanation:

hyp= 4.2*2+ 3.2*2

hyp*2 =17.64 + 10.24

hyp*2 = 27.88

hyp =√27.88

hyp=5.28...Ans

note *2...square

What is value of x?



Enter your answer in the box.

Answers

the answer for x is 9

step-by-step

find perimeter of the triangle
2x + x = -5 + 8 + 10 + 14
3x = 27
x = 27/3
x = 9

What is the equation for the radius of a circle

Answers

Answer:

Um

Step-by-step explanation:

Its half of diameter

Are you thinking of circumference and area?

. It is known that the glucose level in blood of diabetic persons follows a normal distribution model with mean 106 mg/100 ml and standard deviation 8 mg/100 ml. a. Calculate the probability of a random diabetic person having a glucose level less than 120 mg/100 ml. b. What percentage of persons have a glucose level between 90 and 120 mg/100 ml?

Answers

Answer:

a. 0.9599 = 95.99% probability of a random diabetic person having a glucose level less than 120 mg/100 ml.

b. 0.9371 = 93.71% of people have a glucose level between 90 and 120 mg/100 ml.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 106 mg/100 ml and standard deviation 8 mg/100 ml

This means that [tex]\mu = 106, \sigma = 8[/tex]

a. Calculate the probability of a random diabetic person having a glucose level less than 120 mg/100 ml.

This is the p-value of Z when X = 120. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{120 - 106}{8}[/tex]

[tex]Z = 1.75[/tex]

[tex]Z = 1.75[/tex] has a p-value of 0.9599

0.9599 = 95.99% probability of a random diabetic person having a glucose level less than 120 mg/100 ml.

b. What percentage of persons have a glucose level between 90 and 120 mg/100 ml?

The proportion is the p-value of Z when X = 120 subtracted by the p-value of Z when X = 90. So

X = 120

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{120 - 106}{8}[/tex]

[tex]Z = 1.75[/tex]

[tex]Z = 1.75[/tex] has a p-value of 0.9599

X = 90

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{120 - 106}{8}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228

0.9599 - 0.0228 = 0.9371

0.9371 = 93.71% of people have a glucose level between 90 and 120 mg/100 ml.

I NEED HELP!!! Can someone please help me

Answers

I’m pretty sure it’s 7

Answer:

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

Step-by-step explanation:

Here you have to use the Pythagorean Theorem.

Pythagorean Theorem: a^2 + b^2 = c^2

STEP 1: Define your variables

a and b are the legs of the triangle, and c is the hypotenuse

a = 7

b = x

c = 9

STEP 2: Plug the variable into the equation

7^2 + x^2 = 9^2

STEP 3: Solve

7^2 + x^2 = 9^2

49 + x^2 = 81

49 - 49 + x^2 = 81 - 49

[tex]\sqrt{x}[/tex]^2 = [tex]\sqrt{32}[/tex]

x = [tex]\sqrt{32}[/tex]

STEP 4: Simplify

Since the questions asks you to put it in simplified radical form, you do not have to approximate the answer, but you do have to simplify the radical.

x = [tex]\sqrt{32}[/tex]

x = [tex]\sqrt{16}[/tex] * [tex]\sqrt{2}[/tex]

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

Hope this helps

The sum of a number and nine is fifteen

Write an equation to represent the sentence

Answers

Answer:

x+9=15

Step-by-step explanation:

a number plus 9 is fifteen

let x represent the unknown number

x+9=15

:) ur welcome

hope this helped

Which of the following polygons can form a regular tessellation?
A. Regular heptagon
B. Regular pentagon
C. Regular octagon
D. Square

Answers

Answer:

D. Square

Step-by-step explanation:

A square is a regular tessellation because a regular tessellation is a pattern made up of only one single shape placed in some kind of pattern.

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