a
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$250 and $300.
Answer using the 68 - 95 - 99.7 rule.
[ ? ]%

Answers

Answer 1

Answer:

2 Answers By Expert Tutors

Since 400 is the mean and the standard deviation is 50, $400-$450 is +1 standard deviation. One standard deviation is 34.1% probability that the worker's wages would fall in this range.


Related Questions

20 characters just for you brainly

Answers

Answer:

first and last option

Step-by-step explanation:

the first and the last are increasing from left to right since the slope is positive.

please help me answer this question.. no links​

Answers

Answer:

The answer is 28 Units

It's number 3.

solve it in form of cos and sin pls​

Answers

[tex]\text{L.H.S}\\\\=\dfrac{\cot A}{1- \tan A} + \dfrac{\tan A}{1- \cot A}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{1- \tfrac{\sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{1-\tfrac{\cos A}{\sin A}}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{\tfrac{\cos A- \sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{\tfrac{\sin A - \cos A}{\sin A}}\\\\\\=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} + \dfrac{\sin^2 A}{\cos A(\sin A - \cos A)}\\\\\\[/tex]

[tex]=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} - \dfrac{\sin^2 A}{\cos A(\cos A - \cos A)}\\\\\\=\dfrac 1{\cos A - \sin A} \left( \dfrac{\cos^2 A}{\sin A} - \dfrac{\sin^2 A}{\cos A}\right)\\\\\\=\dfrac 1{\cos A - \sin A} \left(\dfrac{\cos^3 A - \sin^3 A}{\sin A \cos A} \right)\\\\\\=\dfrac 1{\cos A - \sin A} \left[\dfrac{(\cos A - \sin A)(\cos^2 A + \sin^2 A + \sin A \cos A)}{\sin A \cos A} \right]\\\\\\=\dfrac{\cos^2 A + \sin^2 A+\sin A \cos A}{\sin A \cos A}\\\\\\[/tex]

[tex]=\dfrac{\cos^2 A}{\sin A \cos A}+\dfrac{\sin^2 A}{\sin A \cos A}+\dfrac{\sin A \cos A}{\sin A \cos A}\\\\\\=\dfrac{\cos A}{\sin A} + \dfrac{\sin A}{\cos A} + 1\\\\\\=\cot A + \tan A + 1\\\\\\=1 + \tan A + \cot A\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

please help me Find m< G

Answers

Answer:

70°

Step-by-step explanation:

All angles in a kite equal 360°.∠F≅∠H. 360-(90+90+110) will get you the answer.

7x=7.7 How would i figure this out ?

Answers

Divide by 7 on both sides to get x

Someone help me out with this!!

Answers

Answer:

Missing Angle = 75 degrees

This answer may not be correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

The Missing Angle:

All of the angles add up to 180 since it is a triangle, so the equation is:

90 (the box aka right angle) + 15 + (the missing angle) = 180

Then, add 90 + 15 = 105. After that, do:

180 - 105 = 75 degrees (don't forget the label!)

I am so sorry, but unfortunately, I do not know the answer for finding the lengths of the sides x and y.

Answer:

75°, x = 49.69, y = 12.85

Step-by-step explanation:

The missing angle is complementary with given since the triangle is right.

90° - 15° = 75°

Use trigonometry to find x

cos 15° = 48/xx = 48/cos 15°x = 49.69 (rounded)

Use Pythagorean to find y

[tex]y=\sqrt{49.69^2-48^2} =12.85[/tex] rounded

Part B
Find the equation of a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the
limit you found in part A.

Answers

the equation of the line f(x) slope 3

The function is f(x) = x³ − 4x² + 2.

How to find the slope?

The slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.

Find the difference between the y coordinates, Δy is change in y.Find the difference between the x coordinates, Δx is change in x.Divide Δy by Δx to find slope.

As,

Slope = rise/ run

Given:.

f(x) = x³ − 4x² + 2

As a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit.

Then the slope of the function is given by the differentiation.

slope= d/dx [f(x)]

slope= d/dx  ( x³ − 4x² + 2)

slope=  3x² - 8x

slope= 3* 3* 3 -8*3

slope= 27-24

slope= 3

Learn more about the slope here:

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5) If the mean of the following data is 20.2, find the value of p. Variable (x) 10 15 20 25 30 Frequency (fi) 6 8 p 10 6​

Answers

Answer:

p = 20

Step-by-step explanation:

Step1 :

Multiply each value by its  frequency then  add up :

(10 × 16) + (15 × 8) + (20 × p) + (25 × 10) + (30 × 6) = 20p + 610

Step2 :

Calculate the total of the frequencies :

6 + 8 + p + 10 + 6 = p + 30

The mean is equal to

[tex]\frac{20p+610}{p+30}[/tex]

Therefore

[tex]20.2 = \frac{20p+610}{p+30}[/tex]

then

20.2 × (p + 30) = 20p + 610

then

20.2p + 606 = 20p + 610

Then

20.2p -  20p = 610 - 606

Then

0.2p = 4

Then

p = 4/(0.2)

  = 20

Bame has a bag of $1 and $2 coins
The total mase of the coins is 71.4 grams
Bame knows that
• the mass ofa$1 coin is 9 grams and
* the mass of a $2 coin is 6.6 grams
What is the value of the coins in a bag

Answers

Answer:

$13

Step-by-step explanation:

9x + 6.6y = 71.4

6.6(4) = 26.4

71.4 - 26.4 = 45

9 / 45 = 5

$2 = 4

$1 = 5

$2 * 4 = $8

$1 * 5 = $5

$8 + $5 = $13

Don’t even know to be honest

Q10. Consider the following algorithm:
g_1 = 9

g_2 = 5
Git
For k starting at 0 and ending with 8:
gk = (k-1)*gk-1 + gk-2

What is the last term, 8, of the recursive sequence generated as a result of
executing this algorithm?

Answers

Answer:

  61,940

Step-by-step explanation:

For a recursive sequence of reasonable length, it is convenient to use a suitable calculator for figuring the terms of it. Since each term not only depends on previous terms, but also depends on the term number, it works well to use a spreadsheet for doing the calculations. The formula is easily entered and replicated for as many terms as may be required.

__

The result of executing the given algorithm is shown in the attachment. (We have assumed that g_1 means g[-1], and that g_2 means g[-2]. These are the starting values required to compute g[0] when k=0.

That calculation looks like ...

  g[0] = (0 -1)×g[-1] +g[-2} = (-1)(9) +5 = -4

The attachment shows the last term (for k=8) is 61,940.

What's the difference between arithmetic and geometrical sequence with examples please.​

Answers

Answer:

An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.

-- Credit -- libretexts

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.

Step-by-step explanation:

Write an equation in slope-intercept form of the line shown.
An equation is

Answers

Answer:

y = 3/4x - 1

Step-by-step explanation:

m = (1-4)/(4-8) = -3/-4 = 3/4

b = (0, -1)

y = mx + b

y = 3/4x - 1

BRAINLIEST please if this helps!
Y=3/4x -1
-1 is the lines y-intercept
And from (4,1) to (8,4) it goes up 3 and to the right 4

5 Ed has two dogs. The smaller dog weighs
83 pounds. The larger dog weighs 13 times
as much as the smaller dog. How much does the larger dog weigh?

Answers

Answer:

1,079 more pounds

Step-by-step explanation:

because if you do 83x13 you will get 1,079

Nathaniel had $40 to spend on 9 beakers for his science class. After buying them, Nathaniel had $4 left. How much did each of the beakers cost?

Answers

Answer:

each baker cost $4

Step-by-step explanation:

4 times 9 is 36, and that leaves 4

Making auto parts A grinding machine in an auto
parts plant prepares axles with a target diameter
p = 40.125 millimeters (mm). The machine has
some variability, so the standard cleviation of tlic
diameters is a = 0.002 mm. The machine operator
inspects a random sample of 4 uxles cach hour for
quality control purposcs and records llic sample
mcan diameter 1. Assuming that the process is work-
ing properly, what are the mean and standard devia I
fion of the sampling distribution of ? Explain.

Answers

Answer: See below

Step-by-step explanation:

Mean:

Since the sample is taken from a large population it follows the central limit theorem, which states that the sample mean is approximately equal to the population mean.

Therefore: [tex]\bold{\bar{X}=\mu=40.125}[/tex]

Standard Deviation:
Again by central limit theorem the standard deviation of the sample is calculated as:

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

Since n=4, therefore

S = 0.001

Worth 100 points IF answered correctly:

Answers

8/6 is the answer because 8 x 1/6 is 4/3 and 8/6 = 4/3

Answer:

8/6

Step-by-step explanation:

Sam has 8 times the number of eggs Kyle has can be expressed as:

[tex]\displaystyle \large{8\cdot \dfrac{1}{6}}[/tex]

As given, the number of eggs Kyle has is 1/6 so out of 6 eggs, Kyle only had 1.

Therefore, 8 multiplies/times the number of eggs is:

8/6

Katie baked a cake. Her brother ate 1/8 of the cake, her father ate 1/4 of the cake, and her mother ate 1/8 of the cake. How much is left?

Answers

Answer:

1/2

Step-by-step explanation:

hope this helps and have a nice day!

Which table represents a linear function?
x
X
y
x
х
y
1
y
0
y
1
0
0
0
0
0
1
2
1
1
1
1
1
3
AN
low
N
4
3
2
0
N
5
2
3
3 3
8.
3
6
3
1
3
7
O
o

Answers

Answer:

  (d)  see attached

Step-by-step explanation:

A linear function has equally-spaced outputs for equally-spaced inputs. The given tables all have sequential values for x, so we can find the linear function by looking at the differences of y-values.

  a) 2 -1 ≠ 4 - 2 . . . . not linear (exponential)

  b) 1 -0 ≠ 3 -1 . . . . not linear (quadratic)

  c) 1 - 0 ≠ 0 - 1 . . . . not linear

  d) 3 -1 = 5 -3 = 7 -5 . . . . a linear function

✏Answer ✏

Letter D. A linear function.

Step-by-step explanation:

# Brainliest Bunch

(x^2 - 14x + 48) divided (x-6)

Answers

Answer: (x^2 - 14x + 48) : (x-6) = 0(x^2 - 14•x + 48) : (x-6) = 0x = 8

Step-by-step explanation:

i hope this is the answer your looking for

The probabilities by subject of on-time assignment submission and on-time arrival in class are given in the table. Subject On-time Assigment Submission On-time Arrival in Class Physics 89.7% 82.3% Math 88.2% 88.7% Chemistry 89.4% 83.1% Biology 90.1% 82.4% Total 88.5% 84.7% What is the probability of on-time arrival in class given that the subject is biology? A. 90.1% B. 88.5% C. 84.7% D. 82.4% E. insufficient data

Answers

The probability of on-time arrival in class given that the subject is biology is, 82.4%.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

The probabilities by subject of on-time assignment submission and on-time arrival in class are given in the table.

Here, the table is,

Subject:      On-time Assignment:     On-time Arrival to Class:

PHYSICS                  89.7%                                     82.3%

MATH                        88.2%                                     88.7%

CHEMISTRY             89.4%                                     83.1%

BIOLOGY                  90.1%                                     82.4%

TOTAL                       88.5%                                     84.7%

Now, from table;

The probability of on-time arrival in class given that the subject is biology is, 82.4%.

Hence, the probability of on-time arrival in class given that the subject is biology is, 82.4%.

Learn more about the probability visit:

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You are a teller at a bank. A customer has $252 in their checking account. They write a check for $287 (debit) that is cashed by the recipient . Will the new balance be positive or negative?

Answers

Negative. You have $252, and the check will take away $287, so 252-287 is -35.

if the cos 30° = sqrt 3/2, then sin 60° =

a. 0
b. 1/2
c. sqrt of 3 /2
d. 1​

Answers

Answer:

C

Step-by-step explanation:

it's well known that the value of sin60 is sqrt 3/2

it's also the same as cos 30

Les gusta mi dibujo a mano con lapiz y papel

Answers

Está bonito, solo algunos detalles, pero con practica creeme que va estar mejor. Los dedos de las manos hay que trabajar más, ¡Está bonito!

A student performed the following steps to find the solution to the equation x^2 + 14x + 40 = 0. Where did the student go wrong?

Step 1. Factor the polynomial into (x + 4) and (x + 10)
Step 2. x + 4 = 0 or x + 10 = 0
Step 3. x = -4 or x = 10

A. In step 3

B. The student did not make any mistakes, the solution is correct

C. In step 1

D. In step 2

Answers

Answer:

A. in Step 3

Step-by-step explanation:

It is factored correctly. Then separated into two smaller equations correctly. But in solving x + 10 = 0, there is an error.

x + 10 = 0

Add -10 to both sides.

x = -10

So, the error is in step 3.

Answer:

A . In Step 3.

Step-by-step explanation:

In step 3 the student went wrong

x = 4 or x = -10 is correct

( if x + 10 = 0, then x = -10)

Matthew plays basketball for his high school. On average, he scores 33 points per game, with a standard deviation of 2 points. What percentage of basketball games will result in Matthew scoring less than 27 points?

Note: Assume that a Normal model is appropriate for the distribution of points.

Answers

Answer: Choice B

Matthew will score less than 27 points in about 0.15% of his basketball games.

=======================================================

Explanation:

mu = 33 = population mean

sigma = 2 = population standard deviation

Let's find the z score when x = 27

z = (x - mu)/sigma

z = (27-33)/2

z = -6/2

z = -3

A score of 27 points is exactly three standard deviation units below the mean of 33 points.

Now refer to the Empirical Rule chart shown below. Notice that roughly 99.7% of the entire population is within 3 standard deviations of the mean. This is the span from z = -3 to z = 3.

That leaves about 100% - 99.7% = 0.3% left over for the two tails combined.

One tail has about (0.3%)/2 = 0.15% of the total area, and therefor about 0.15% of the total games will have Matthew scoring less than 27 points. This is an estimate of course.

To get a more accurate answer, you can use a Z table to find that

[tex]P(Z < -3) \approx 0.00135 \approx 0.135\%[/tex]

which isn't too far off from the 0.15%

Answer:

I believe is the correct answer

Step-by-step explanation:

a

Select the correct answer.
The histogram shows the weekly attendance of participants in a school's study skills program. Student attendance numbers were the same during which two weeks of the workshop?



A.
weeks 1 and 2
B.
weeks 2 and 4
C.
weeks 5 and 6
D.
weeks 4 and 6

Answers

Answer:

That would be week 2 and 4 (B). They are both at 12 students attending

Expand and simplify (x - 7)(x + 4)

Answers

Answer:

x^2 - 3x - 28

Step-by-step explanation:

(x-7)(x+4) = x^2 + 4x - 7x - 28 according to the distributive property

Which = x^2 - 3x - 28

Answer:

[tex]x^{2} -3x-28[/tex]

Step-by-step explanation:

[tex](x - 7)(x + 4)\\x(x + 4)-7(x + 4)\\x^{2} +4x-7x-28\\x^{2} -3x-28[/tex]

Simplify the polynomial then evaluate for x=-1 3x^2-4+2x-1+x^2

Answers

Answer:

-3

Step-by-step explanation:

Simplified polynomial: 4x^2 + 2x - 5

Plug in -1: 4(-1)^2 + 2(-1) - 5

= -3

Find the slope of the line (2,-3) (4,-7)

Answers

hello!

Use the slope formula:-

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

[tex]\displaystyle\frac{-7-(-3)}{4-2} =\frac{-7+3}{2} =\frac{-4}{2} =\bigstar{\boxed{\pmb{-2}}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Find the area and the circumference of a circle with radius 9 ft.
Use the value 3.14 for pie, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answers:

Area = 254.34 square feet

Circumference = 56.52 feet

=========================================================

Work Shown:

Area = pi*(radius)^2

A = pi*r^2

A = 3.14*9^2

A = 254.34 square feet

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

Circumference = 2*pi*(radius)

C = 2*pi*r

C = 2*3.14*9

C = 56.52 feet

The two results are approximate since pi = 3.14 is approximate.

1st area of circle:

[tex]\bold{\ area \ of \ circle \ : \pi r^2}[/tex]

[tex]\hookrightarrow \sf (3.14)(9)^2[/tex]

[tex]\hookrightarrow \sf 254.34 \ ft^2[/tex]

2nd circumference of circle:

[tex]\bold{circumference \ of \ circle \ : \ 2\pi r}[/tex]

[tex]\hookrightarrow \sf 2(3.14)(9)[/tex]

[tex]\hookrightarrow \sf 56.52 \ ft[/tex]

area of circle = 254.34 ft²circumference of a circle = 56.52 ft
Other Questions
Should be an easy graphing question A gift box in the shape of arectangular prism has a base areaof 56 square inches and a height of4 inches. What is the volume of thebox in cubic inches?F) 224G) 448H) 896J) 12,544 Read this excerpt from extremely loud and incredibly close. "i didnt do it!" i hollered, but they didnt even hear me, because they were playing music too loud and cracking up too much. i zipped myself all the way into the sleeping bag of myself, not because i was hurt, and not because i had broken something, but because they were cracking up. even though i knew i shouldnt, i gave myself a bruise. which of these statements best describes the ambiguity in this excerpt? it is unclear whether oskar gets caught in the closet. it is unclear whether oskar will sleep in the closet. the source of the laughter is unclear. the nature of the bruise is unclear. C. Ben and Michael also participated in the long jump. Michael jumped 334 thousandths of a meter less than Kevin. Ben jumped farther than Michael but not as far as Kevin. Write a decimal to the thousandths that is greater than Michael's distance and less than Kevin's distance. Explain the reasoning you used. Answer fast and correctly for brainliest!!! Question 5 of 10How far east did Alexander's empire reach at its highest point?O A. The Fertile CrescentO B. IndiaO c. Asia MinorO D. ChinaAnswer is B. India Why would a scientist need to know if there was a volcanic eruption about to happen? WORTH 80 sorry its zoomed out but is there cluster or outliers where and explain why Given that you have a pentagon. What would be the measure of the sum of the exterior angles? ste Styles Editing - Aa A A ' 1 H - 21 Paragraph board 19 Font 1 Styles 67 2 4 5 I Question 6: (1.5 marks) Ramond Company has hired you to prepare financial statements for the year ending 12/31. On your first day of work, your assistant comes to you with several items that could be classified as expenses or could be classified as assets. Based on your knowledge of accounting so far, determine whether the following items should be recorded as an expense or an asset. +On 12/31, Ramond paid $14,000 to rent office space for the next twelve months, +On 10/1, Ramond paid $40,000 for insurance that covered the company's property for the last quarter of the year. +On 6/1, Ramond purchased $27,000 in supplies, all of which were used by 12/31. + On 12/31, Ramond purchased $5,000 worth of supplies for the coming month. The US and the ________ have promised to hold Russia accountable for the invasion of Ukraine. Use the drop-down menus to complete the statements. inflation is a measure of how prices . disinflation occurred . the inflation rate was about in 2014. overall, prices declined . Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.AB = 12, BC = 9, and CD = 8 3 + 2 = a + + + 1 + c = 4. 11 = d + 5 = b enter the correct 4 digit code (no spaces) 0 keep trying back next scotas Which world leader oversaw the creation and launch of Sputnik I, the first human-made satellite? A) Mao Zedong B) Joseph McCarthy C) Nikita Khrushchev D) Mikhail Gorbachev Please help AB+CQuestion 1: Imagine that the reaction starts with 100 molecules of reactants and zero molecules of products. Explain why the amount of reactants will never reach zero. Question 2: imagine that the reaction starts with 0 molecules of reactants and 100 molecules of products. Will the amount of products increase or decrease as the reaction proceeds? Explain. Wir _____(to love) unsere Katze. lieben liebst geliebt liebten Victor tossed a paper cup and recorded how the cup landed each time. He organized the results as shown below. Find the experimental probability that the cup will land on its side. Express your answer as a fraction in simplest form.Right side up- 12 timesUpside down- 7 timesOn its side- 21 times I NEED HELP!!!!!!!!!!!!!!!! This is important for an exam tommorow.Pls answerWhich option completes the phrase below to make a grammatically correct sentence? Samita was walking down the street, __________ A. when she saw a peculiar looking man limping across. B. but she saw a peculiar looking man limping across.C. because she saw a peculiar looking man limping across. D. while she saw a peculiar looking man limping across.