Answer:
3/2
Step-by-step explanation:
● (-3/8) ÷(-1/4)
Flip the second fraction by putting 1 instead 4 and vice versa.
● (-3/8)* (-4/1)
-4 over 1 is -4 since dividing by 1 gives the same number.
● (-3/8)*(-4)
Eliminate the - signs in both fractions since multiplying two negative numbers by each other gives a positive number.
●( 3/8)*4
● (3*4/8)
8 is 2 times 4
● (3*4)/(4*2)
Simplify by eliminating 4 in the fraction.
● 3/2
The result is 3/2
Answer:
no of sample within two percentage points is 5409
no of sample not use prior estimates is 8321
Step-by-step explanation:
Given data
E = 2% = 0.02
male m = 21.2 % = 0.212
female f = 19.7 % = 0.197
to find out
no of sample within two percentage points and if does not use any prior estimates
solution
first we calculate no of sample within two percentage points
we know Z critical value for 99% is 2.58
so no of sample will be
n = (Z / E )² × m(1-m) + f ( 1-f )
put all the value we get no of sample
n = (2.58 / 0.02 )² × 0.212 ( 1 - 0.212 ) + 0.197 ( 1 - 0.197 )
n = 16641 ×0.3250
no of sample within two percentage points is 5409
in 2nd part no of sample not use prior estimates
here than f and m will be 0.5
than
n = (Z / E )² × m(1-m) + f ( 1-f )
put all value
n = (2.58 / 0.02 )² × 0.5 ( 1 - 0.5 ) + 0.5 ( 1 - 0.5 )
n = 16641 × 0.5
no of sample not use prior estimates is 8321
I know this is really late but the answer is y=-1/4x
Answer:
the original price of the book is $20
Step-by-step explanation:
sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.
<u>Things that are useless:</u>
- his name is Jarred (his name could be gary, it doesn't affect us getting the answer)
- he went to a bookstore (he could've gone to the library, it wont affect us getting to the answer)
- the book is softcover (it could be any type of book, wont affect us getting to the answer)
- the item is a book (it could be anything that he bought, wont affect us getting to the answer.)
<u>Things that are helpful:</u>
- the book was on sale (helps us know that the price was reduced)
- the book was on sale 10% (helps us know how much it was reduced by)
- he spent $18 for the reduced price (helps us know how much he spent)
Ok, now that we know those, let's work on the question.
let b be the original book price
we need to find 10% so we have to use 90% (because 100 - 10 = 90)
if we needed to find 20% we would use 80% (because 100 - 20 = 80)
and so on.
90% of b = 18 (90% of the og. book price equals 18)
90/100 × b = 18 (write a correct equation and make the percent a fraction)
9/10 × b = 18 (simplify both sides of the equation)
9 × b = 180 (multiply both sides of the equation to get rid of fraction)
b = 20 (divide both sides of the equ. to get b by itself)
the original price of the book is $20
hope this helped :D
good luck my friend
- cheesetoasty
