on a toy assembly line, 3% of the toys are found to be defective. The quality control officer predicts that 872 toys will be found defective out of the 24,850 toys made. Do you agree with this prediction? Explain.

Answers

Answer 1

Answer: No, I don't agree with this prediction.
If you were to times 24,850 by 3% you would get 745, which would be the number of defective toys.
872 defective toys is 3.5% of 24,850 toys.

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What is the value of x when 2x+3=3x-4

Answers

2x+3=3x-4
try to isolate the x term
you must do the same thing to both sides or else it won't be equal anymore

2x+3=3x-4
add 4 to both sides
2x+3+4=3x+4-4
2x+7=3x+0
subtract 2x from both sides
2x-2x+7=3x-2x
0+7=x
7=x

the answer is x=7

$2x+3=3x-4 \ \ \ |-3x \ \wedge \ -3 \n \n -x=-7 \n \n x=7$

Emma uses a 250-meter roll of crepe paper to make steamers. How many dekameters of crepe paper does Emma use?

Answers

A dekameter (or decameter) first needs to be translated into how many meters. deka means 10, so a dekameter must be 10 meters. So we then divide 250 by 10, and come up with 25 dekameters.

7w/4+3=9w/10+6

I really need help on this

Answers

Answer:

w=3 9\17

Step-by-step explanation:

Find the geometric mean of the numbers. If necessary, give the awnser in simplest form. 2/3 and 1/2.The geometric mean is ____

Answers

Answer:

Geometric mean = 1/√3 or 0.58

Step-by-step explanation:

We have to find the geometric mean of the 2/3 and 1/2.

To find the geometric mean of n terms we use the formula

Geometric mean = $\sqrt[n]{a_(1)* a_(2)* a_(3)....a_(n)}$

By putting the values in the formula

Geometric mean $=\sqrt{(2)/(3)* (1)/(2)}$

$\sqrt{(2)/(6)}=(1)/(√(3) )$

geometric mean = 0.58

Answer:

0.577

Step-by-step explanation:

We are given the following two numbers and we are to find their geometric mean:

$\frac {2} {3}$ and $\frac {1} {2}$

We know the formula for finding the geometric mean:

Geometric mean = $\sqrt[n]{a_1.a_2.a_3...a_n}$

So putting in the given values in the above formula to get:

Geometric mean= $\sqrt [2] {\frac {2} {3} .\frac {1} {2} }$ = $\sqrt {\frac {1} {3} }$

Geometric mean = 0.577

Karen bakes cookies. she has observed that the number of cookies m that turn out well in each batch varies with the size of the batch and is given by the function f(x)= 2x-23 where c is the size of the batch (number of cookies in each batch). she never bakes fewer than 12 cookies in a batch. if the size of 5 batches is {20,25,26,27,34}, how many cookies turn out well in each batch?

Answers

f(x) = 2x – 23

f(20) = 2*20 - 23

f(20)) = 40 - 23 = 17

answer: 17 cookies

Solve and Check.c/3=6 1/7

A.2 1/21

B.2 1/7

C.18 1/7

D.18 3/7

Answers

c=18 3/7

c/3= 6 1/7 (change to improper) (7*6 +1)
c/3 = 43/7
c/3 *3 = 43/7 * 3 (*3 to both side to isolate c)
c= 47/3 * 3
c= 129/7 (change to mix)
c= 18 3/7

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