A manufacturer knows that their items have a normally distributed length, with a mean of 16.2 inches, and standard deviation of 0.9 inches. If one item is chosen at random, what is the probability that it is less than 16.4 inches long

Answers

Answer 1

Answer:

57.926%

Step-by-step explanation:

Calculation for the probability that it is less than

16.4 inches long

Using this formula

z = (X - μ) / σ

Where,

X represent Date=16.4

μ represent Mean=16.2

σ represent Standard deviation=0.9 inches

Let plug in the formula

z = (16.4 - 16.2) /0.9 inches

z=0.2/0.9 inches

z = 0.2

Using Z-score table to find the area of 0.2

z=0.57926*100

z=57.926%

Therefore the probability that it is less than

16.4 inches long is 57.926%


Related Questions

(8x-17)(5x+19)
Find the converse and x

Answers

[tex](8x-17)(5x+19)\\40x^{2}+152x-85x-323\\ 40x^{2}+67x-323[/tex]

PLS HURRY I ll mark brainliest
Describe each as below sea level, at sea level, or above sea level.

Death Valley sits at an elevation of –282 feet.

The elevation of Mount Whitney is 14,494 feet.

The elevation of the Singapore Strait is 0 feet.

Answers

Answer:

Step-by-step explanation:death below ocean

Mount above

Singapore above

Step-by-step explanation:

A negative altitude is below sea level.

A positive altitude is above sea level.

An elevation of zero is at sea level.

Death Valley sits at an elevation of –282 feet.  negative: below sea level

The elevation of Mount Whitney is 14,494 feet.  positive: above sea level

The elevation of the Singapore Strait is 0 feet. zero: at sea level

A person was modeling a declining population with a decay factor of 0.5 using pennies. They started with 100 pennies and flipped all 100 pennies. Any pennies that landed on tails were removed. Then, the remaining pennies are flipped again and again the ones landing on tails were removed. The process is repeated until no pennies are left. How many flips is the most reasonable expectation for when this model should reach 0 pennies?
4 flips

8 flips

12 flips

16 flips

Answers

Answer: 8 flips

Step-by-step explanation:

Allan writes down n positive integers so that the sum of those numbers is 23. When he multiples those numbers, he gets the maximum result. List all of the n positive integers that Allan has written.​

Answers

Answer:

3, 3, 3, 3, 3, 3, 3, 2

Step-by-step explanation:

To get maximum product we need to optimize how we break down the numbers

Its obvious we don't want number 1 to be used as it won't change the product

Also we don't want to use big numbers, we can have four 5's instead of two 10's as it would give greater product, 5*5 > 10

What is best number?

2 and 3 are the smallest, 4 can be written as two 2's5 = 2+ 3 and 2*3 = 6, so it is better to use 2's and 3's instead of 56 = 2+2+2, 2^3 = 8 and 6 = 3+ 3, 3^2 = 9, so it is better to use two 3's for 67 = 2+2+3, 2*2*3= 12, again 2's and 3's make greater product

So the best is to break the number down to 2's and 3's

23 = 2*10 + 3 ⇒ 2^10*3 = 307223 = 3*7 + 2 ⇒ 3^7*2 = 4374

As we see the maximum product we can get is 4374 with seven 3's and one 2.

Hence the numbers are:

3, 3, 3, 3, 3, 3, 3, 2

Answer:

your answer should be     3, 3, 3, 3, 3, 3, 3, 2

Which class has a ratio of girls to total students of 7:10?
A. class with 3 boys and 7 girls
B. class with 7 boys and 3 girls
C. class with 7 boys and 10 girls
D. class with 10 boys and 7 girls

Answers

Answer:

A

Step-by-step explanation:

The total class is 10

the number of girls is 7

ratio of girls to total students - 7:10

!!! PLEASE PLEASE HELP ME , IVE BEEN STUCK ON THIS FOR SOO LONG. I SERIOUSLY NEED HELP.!!!

Using two or more complete sentences, describe how you can find a vector parallel to B = (-2,3) .

Answers

Answer:

To find a vector parallel to B, such vector must be a scalar multiple of B.

Step-by-step explanation:

Two non-zero vectors are parallel if they are scalar multiples of one another.

A vector parallel to B must be a scalar multiple of B.

let the vector parallel to B be A, then their scalar multiple is given as;

A = kB

A = k(-2, 3)

where;

k is scalar

Thus, to find a vector parallel to B, such vector must be a scalar multiple of B.

what linear equation in slope intercept from does this graph represent?​

Answers

Answer:

[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]

Step-by-step explanation:

The equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.

We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is [tex]y = mx + 100[/tex].

Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).

Then, we'll use [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex] to find the slope.

Let's substitute in our points.

[tex]\frac{150-100}{3-0}[/tex]

Simplify.

[tex]\frac{50}{3}[/tex]

Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is [tex]16\frac{2}{3}[/tex].

We'll put that in our equation for a line and...bam!

[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]

An ant bed contains about 230 ants. If there are 6 of these beds on the playground, how many ants are there?​

Answers

Multiply number of ants per bed by number of beds.

230 ants x 6 beds = 1,380 total ants

the answer I got was 1,380

pls help asap!! no trolls

Answers

Answer:

7

Step-by-step explanation:

а>12-6

Solve for x: 24x + 12 = 16

Answers

Answer:

x=1/6 or x=0.1666666667

Step-by-step explanation:

Identify whether the following items best fit with a discrete or a continuous model. Then determine whether it is a linear (arithmetic) or exponential (geometric) relationship that is being described. Finally, write the function that represents the situation.
One square inch is infected by bacteria. For every hour that passes the amount of area infected by the bacteria doubles.

Answers

Answer:

it will be a continuous model

Step-by-step explanation:

weekend weekend assume every amount of area infected by the bed period doubles as hour passes

what is the opposite of 7​

Answers

Answer:

-7 is the opposite of 7

Step-by-step explanation:

pls mark brainliest to help rank

Write this multiplication expression using an exponent: 2 . 2 . 2 = ?

Answers

Answer:2^3

Step-by-step explanation:

Solve this pls. Thank you

Answers

Answer:

which one????????????????????

6x4 as repeated addition

Answers

Answer:

6+ 6+6+6

or

4+4+4+4+4+4

Step-by-step explanation:

6 (4 times)

4 (6times)

(brainlist please):D

Answer:

6+6+6+6   or 4+4+4+4+4+4

Step-by-step explanation:

You can add them out

13 degrees below 0 pls

Answers

Answer:

-13

Step-by-step explanation:

Hi please help me answer this :)

Explain answer

Will give braisnlt

Answers

Answer:

There are no solutions

Step-by-step explanation:

No intersections or points that apply for the equations.

Any intersection between both lines is a solution. As these lines are parallel they have no solution. If they met at any point, 90 degree or not, there is  solution, the solution will be a point. If they are on the same line, hitting all the same points, the solutions are infinite.

What 12x12 I need help please help me

Answers

Answer:

144

Step-by-step explanation:

-0- Easy :D

1.9t-5 simplify using commutative property

Pls help lolll

Answers

Answer:

There is nothing to be further simplified. It is how you wrote it. Let me know if it was a mistake I'll edit my answer.

Step-by-step explanation:

Which equation represents the relationship between the x-and y-values shown in the table?

Answers

the second one because the exddddsedfffdffdggf
y=3x-4
7*3=21-4=17
5*3=15-4=11
3*3=9-4=5
2*3=6-4=2

How much is a medium pizza and garlic bread?

Answers

Answer:

$10.10

Step-by-step explanation:

$7.50 + $2.60 = $10.10

which list shows the numbers in order in which they would appear from left to right on the number line ​

Answers

maybe give more info?

8.3 + 3.4y - 0.5 (12y - 7)

Answers

Answer:

-2.6y + 11.8

Step-by-step explanation:

Distribute -0.5 into 12y and -7 to get to this equation, 8.3 + 3.4y - 6y + 3.5.  Combine the two like terms together to get your answer which is -2.6y + 11.8.

What calculation is modeled on the number line?
Answer ASAP will give brainliest 55 points too plzz

Answers

the answer is C ,, can yu give me 55 points .

the correct answer is c !! hope this helps

Elyse's cell phone plan allowes up to 8 GB of data each month. She received an alert that she used 95% of her Data. How much data does she have left​

Answers

Answer:

She has 400 megabytes left

Step-by-step explanation:

Evaluate the expression.
131 +-5

Answers

131+-5 is equal to 126
To make it less confusing it’s just 131-5

Answer:

126

Step-by-step explanation:

131 + - 5 can either be;

131 + 5 = 136

131 - 5 = 126

The question is probably asking what is 131 plus negative 5, hence the correct equation is; 131 - 5, and the correct answer is 126.

please help i m clusless

Answers

Answer:

-25+? = -5

cross -5 over and it the negative sign would turn to postive sign

-25+(5)=?

Therefore answer = 20

To confirm this answer

-25+20= -5

Answer: (1) 20 (2) -15 (3) -10

Explanation:
I know it’s late but hope this helps! ^^

please help me i’ll mark brainliest, comment, and rate 5 stars

Answers

Answer:

c...........................

3.5x = 20 Round to nearest hundredths
place

Answers

Answer:

5.71

Step-by-step explanation:

x = 20/3.5 = 5.71

A person on a moving sidewalk travels 12 feet in 4 seconds. The moving sidewalk has a length of 120 feet. How long will it take to move from one end to the other?

Answers

Answer:

40 seconds

Step-by-step explanation:

120/12 = 10

10*4 = 40

THEREFORE 40 seconds to walk 120 feet at that speed

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