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3 years ago

A baby girl weighed 112 ounces when she was born. How many pounds did she weigh when she was

Mathematics

2 answers:

garik1379 [7]3 years ago

8 0

Answer: 7 pounds

Step-by-step explanation:

1 ounce is 0.063 pounds

Using that you multiply 0.063 by 112

to get 7.056

and you can round that to 7 pounds

Hopefully this helped

CaHeK987 [17]3 years ago

6 0

Answer:

7 pounds

Step-by-step explanation:

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In a shipment of 20 packages, 7 packages are damaged. The packages are randomly inspected, one at a time, without replacement, u

horsena [70]

Answer:

$\large\boxed{\large\boxed{0.119}}$

Explanation:

You need to find the probability that exactly three of the first 11 inspected packages are damaged and the fourth is damaged too.

<u>1. Start with the first 11 inspected packages:</u>

a) The number of combinations in which 11 packages can be taken from the 20 available packages is given by the combinatory formula:

$C(m,n)=\dfrac{m!}{m!(m-n)!}$

$C(20,11)=\dfrac{20!}{11!\cdot(20-11)!}$

b) The number of combinations in which 3 damaged packages can be chossen from 7 damaged packages is:

$C(7,3)=\dfrac{7!}{3!\cdot(7-3)!}$

c) The number of cominations in which 8 good packages can be choosen from 13 good pacakes is:

$C(13,8)=\dfrac{13!}{8!\cdot(13-8)!}$

d) The number of cominations in which 3 damaged packages and 8 good packages are chosen in the first 11 selections is:

$C(7,3)\times C(13,8)$

e) The probability is the number of favorable outcomes divided by the number of possible outcomes, then that is:

$\dfrac{C(7,3)\times C(13,8)}{C(20,11)}$

Subsituting:

$\dfrac{\dfrac{7!}{3!\cdot(7-3)!}\times \dfrac{13!}{8!\cdot(13-8)!}}{\dfrac{20!}{11!\cdot(20-11)!}}$

$=\dfrac{\dfrac{7!}{3!\cdot 4!}\times \dfrac{13!}{8!\cdot 5!}}{\dfrac{20!}{11!\cdot 9!}}=0.26818885$

<u>2. The 12th package</u>

The probability 12th package is damaged too is 7 - 3 = 4, out of 20 - 11 = 9:

<u>3. Finally</u>

The probability that exactly 12 packages are inspected to find exactly 4 damaged packages is the product of the two calculated probabilities:

$0.26818885\times 4/9=0.119$

6 0

3 years ago

The table below shows how much Joe earns, y, after working x hours. Joe’s Earnings Hours worked Money earned 4 $30 10 $75 12 $90

lesya692 [45]

Answer:

Both slopes are equal

Step-by-step explanation:

The general form of a linear function is:

y = mx + c

where m is the slope and c is the y-intercept

We can, thus, note that the slope is constant across the linear function.

Since we are given that the relation between the salary and hours worked is linear, therefore, the slope will be equal between any two points belonging to the function

Verification:

slope can be calculated as follows:

slope = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }

1- In case of (4,30) and (12,90):

slope = slope = \frac{ 90 - 30 }{ 12 - 4 } = 7.5

2- In case of (4,30) and (10,75):

slope = \frac{ 75 - 30 }{ 10 - 4 } = 7.5

Hope this helps :)

5 0

3 years ago

Read 2 more answers

The surface area of the three dimensional figure is ____ square centimeters

Svetradugi [14.3K]

Answer:

536.6

Step-by-step explanation:

First I found the area for the rectangles which is (15x10) multiplied by 3.

Then I found the area for the triangles which is A=(1/2)(8.66)(10). Which equals 43.3, then multiplied that by 2.

Add all the areas together (150)(3)+(43.3)(2)=536.6

3 0

4 years ago

The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown.

mote1985 [20]

Answer:

The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown.

$\: first the formula of quadratic equation \: = - b ≠ \: \sqrt{ \frac{ \: {b }^{2} - 4ac}{ \: 2a} }$

let's begin to solve this equation,,,

$ax² + bx + c = 0 \\ ax² + bx + c =0 \\ {x}^{2} + \frac{b}{a} \: + \frac{ {b}^{2} }{2a} = \frac{b2}{a} - \frac{c}{a} \\ x + \frac{ {b}^{2} }{2a} = - \frac{ {b}^{2} }{2a} - \frac{c}{a}$

<h3>MORE BASIC INFORMATION </h3>

an equation having the maximum power of the variable equal to is called the quadratic equation the general form of quadratic equation is ax² + bx +c =0 where a,b,c are real numbers a ≠0 x is variable •

a quadratic equation can be solved by two method by factorization and by formula

by factorization a quadratic equation can be solved by factorization only when the product AC can be divided into two such part that it had the sum of the difference of the two part is equal to b

$by the formula of quadratic equation can be solved by \ - }$

$x = \frac{ - b \sqrt{ {b}^{2} - 4ac } }{2a } \\ root \: of \: equation \: {ax}^{2} + bx + c = 0 \\ - b - \sqrt{ \frac{ {b}^{2} - 4ac}{2a} }$

7 0

2 years ago

Generate the first 3 terms for the sequence-2n<br> +1.

Cloud [144]

Answer:

- 1, - 3, - 5

Step-by-step explanation:

Substitute n = 1, 2, 3 into the rule, that is

a₁ = - 2(1) + 1 = - 2 + 1 = - 1

a₂ = - 2(2) + 1 = - 4 + 1 = - 3

a₃ = - 2(3) + 1 = - 6 + 1 = - 5

7 0

3 years ago