Ask question

Ask question

All categories

2 years ago

11

The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.

what is the probability that a randomly selected item will weigh more than 10 ounces?

1 answer:

Wittaler [7]2 years ago

6 0

<span>First we calculate z using the formula:

z = (x - μ)/σ</span>

Where:

x = our variable, 10

μ = mean, 8

σ = standard dev, 2

Substituting known values:<span>
z = (10 - 8)/2
z = 2/2
z = 1

Using the tables of the normal distribution to find the p-value with z = 1

p = 0.8413

Since we want "greater than 10”, we need to subtract the probability from 1 therefore

p* = 1 - 0.8413 = <span>0.1587</span></span>

You might be interested in

Drag the tiles to the correct boxes to complete the pairs.

Ne4ueva [31]

Answer:

Part 1) $-1.25$ -------> $2.75/(-2.2)$

Part 2) $-4\frac{1}{3}$ --------> $(-2\frac{3}{5}) / (\frac{3}{5})$

Part 3) $\frac{2}{3}$ ------> $(-\frac{10}{17}) / (-\frac{15}{17})$

Part 4) $3$ ------> $(2\frac{1}{4}) / (\frac{3}{4})$

Step-by-step explanation:

Part 1) we have

$2.75/(-2.2)$

To calculate the division problem convert the decimal number to fraction number

$2.75=275/100\\ -2.2=-22/10$

so

$(275/100)/(-22/10)$

Remember that

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(275/100)/(-22/10)=(275/100)*(-10/22)=-(275*10)/(22*100)=-(275)/(220)$

Simplify

Divide by 22 both numerator and denominator

$-(275)/(220)=-125/100=-1.25$

Part 2) we have

$(-2\frac{3}{5}) / (\frac{3}{5})$

To calculate the division problem convert the mixed number to an improper fraction

$(-2\frac{3}{5})=-\frac{2*5+3}{5}=-\frac{13}{5}$

so

$(-\frac{13}{5}) / (\frac{3}{5})$

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(-\frac{13}{5}) / (\frac{3}{5})=(-\frac{13}{5})*(\frac{5}{3})=-\frac{13*5}{5*3}=-\frac{13}{3}$

Convert to mixed number

$-\frac{13}{3}=-(\frac{12}{3}+\frac{1}{3})=-4\frac{1}{3}$

Part 3) we have

$(-\frac{10}{17}) / (-\frac{15}{17})$

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(-\frac{10}{17}) / (-\frac{15}{17})=(-\frac{10}{17})*(-\frac{17}{15})=\frac{10*17}{17*15}=\frac{10}{15}$

Simplify

Divide by 5 both numerator and denominator

$\frac{10}{15}=\frac{2}{3}$

Part 4) we have

$(2\frac{1}{4}) / (\frac{3}{4})$

To calculate the division problem convert the mixed number to an improper fraction

$(2\frac{1}{4})=\frac{2*4+1}{4}=\frac{9}{4}$

so

$(\frac{9}{4}) / (\frac{3}{4})$

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(\frac{9}{4}) / (\frac{3}{4})=(\frac{9}{4})*(\frac{4}{3})=\frac{9*4}{4*3}=\frac{9}{3}=3$

8 0

2 years ago

HI i neeed helppppppppppppppppp

elena-14-01-66 [18.8K]

Answer:

5

Step-by-step explanation:

3 0

1 year ago

Read 2 more answers

Solve the equation 42=7r r=

Juli2301 [7.4K]

Answer: r=6

Step-by-step explanation:

Because if 42 equals 7 times r you just have to divide 42 by 7.

8 0

3 years ago

Read 2 more answers

What are the range values of the function f (x ) = 3x + 4 for the domain values {-5, -1, 0, 2, 7}?

Airida [17]

Answer:

Range values are:

{-11, 1, 4, 10, 25}

Step-by-step explanation:

Domain values are the possible x values that can be entered into the function, or the inputs. Range values are the y values, or the outputs. By inserting every value in the set into the function, we get the outputs (y values)

-15 + 4 = -11

-3+4 = 1

0 + 4 = 4

6 + 4 = 10

21 + 4 = 25

Remember to put them in order.

7 0

2 years ago

What is the probability that you would pick a blue marble and roll a 5 OR 6?

NNADVOKAT [17]

Marble: 2/7

Dice: 2/6 = 1/3

7 0

2 years ago

Read 2 more answers