Answer:
7. -37/36 or -1 1/36
8. -3/10
9. 1/24
10. -118/21 or -5 13/21
11. 97/12 or 8 1/12
12. 49/8 or 6 1/8
Step-by-step explanation:
To subtract fractions, they must have the same denominator. The common denominator will be the LCM (lowest common multiple) of the two denominators. Then, combine the fractions and simplify.
7.
Find a common denominator
Combine the fractions
Answer. Already in lowest terms.
Keep a negative number. 37 goes into 36 one time, leaving 1 remainder (becomes numerator)
8.
Find a common denominator
Combine the fractions
Answer in simplest form.
9.
Find common denominator
Combine the fractions
Answer in simplest form
10.
Translate to improper fraction
Multiplied each whole number with base, added to numerator
Found common denominator
Combined fractions
Answer in improper form
Answer as a mixed number
11.
Convert to improper fraction
Two minuses make a plus
Find common denominator


Combined fractions
Answer as improper fraction
Answer as mixed fraction
12.
Convert to improper fraction

Find common denominator

Combined fractions
Answer as improper fraction
Answer as mixed number
Answer:
yes
Step-by-step explanation:
y=kx+b
here k=19 and b=-5
C square
E paraellolgram
F trapezoid
A rhombus
B rectangle I can’t see it well
Hope this helps
Answer:
a) p-hat (sampling distribution of sample proportions)
b) Symmetric
c) σ=0.058
d) Standard error
e) If we increase the sample size from 40 to 90 students, the standard error becomes two thirds of the previous standard error (se=0.667).
Step-by-step explanation:
a) This distribution is called the <em>sampling distribution of sample proportions</em> <em>(p-hat)</em>.
b) The shape of this distribution is expected to somewhat normal, symmetrical and centered around 16%.
This happens because the expected sample proportion is 0.16. Some samples will have a proportion over 0.16 and others below, but the most of them will be around the population mean. In other words, the sample proportions is a non-biased estimator of the population proportion.
c) The variability of this distribution, represented by the standard error, is:
d) The formal name is Standard error.
e) If we divided the variability of the distribution with sample size n=90 to the variability of the distribution with sample size n=40, we have:

If we increase the sample size from 40 to 90 students, the standard error becomes two thirds of the previous standard error (se=0.667).
Answer:
3
Step-by-step explanation: