Answer:
The answer to your question is:
x = 13
x + 10 = 23
5x - 42 = 23
Step-by-step explanation:
Data
angle 1 = x + 10
angle 2 = 5x - 42
They are vertical angles so, they measure the same.
x + 10 = 5x -42
x - 5x = -42 - 10
- 4x = -52
x = -52/-4
x = 13
angle 1 = x + 10 = 13 + 10 = 23
angle 2 = 5x - 42 = 5(13) -42 = 65 -42 = 23
Null: the mean amount of peanut butter in a jar is equal to 32 oz.
alternative: the mean amount of peanut butter in a Jar is less than 32oz.
type 1 error is is rejecting the null when it is actually true. this means that we would say that the mean amount of peanut butter is not equal to 32 when it actually is.
type 2 error is failing to reject the null when it is actually false. this means that we would say the mean amount of peanut butter is equal to 32 when in reality it is less.
log was used calculate big numbers before calculators
log is a re-arranged way to show a number with an exponent
example
log₂ 16 = 4 means 2^4 = 16
logx(Z) = y means x^y=Z
log(x-6)/log(2) + log(x)/log(2) = 4
(log(x-6)+ log(x))/log(2) = 4
(log(x-6)+ log(x)) = 4log(2)
(log(x-6)x) = log(16)
x=8
Answer:
Step-by-step explanation:
a1=2/3
sequence is 2/3,3/4,4/5,...
for numerator a1=2
d=3-2=1
numerator of nth term=a1+(n-1)d=2+(n-1)×1=2+n-1=n+1
denominator = 1 more than numerator=n+1+1=n+2
so an=(n+1)/(n+2)
or for denominator a1=3,d=4-3=1
denominator of nth term=3+(n-1)×1=3+n-1=n+2
an=(n+1)/(n+2)
10 crayons = $5
1 crayon = $5 ÷ 10 = $0.50
Answer: Unit Price = $0.50/crayon
