Answer:
a) 50 degrees
b) 21 degrees
c) 64 degrees
d) 70 degrees
e) 105 degrees
Step-by-step explanation:
Answer: 55 can not be considered a significantly high number of girls.
The probability is relevant to answering that question = .
Step-by-step explanation:
Given : For 100 births,
and .
Also it is said that consider a number of girls to be significantly high if the appropriate probability is 0.05 or less
To check :- If 55 girls in 100 births a significantly high number of girls .
We can see that
and , it means it is likely to occur 55 or more girls .
So 55 can not be considered a significantly high number of girls.
Answer:
cos x (2 sin x − 1)
Step-by-step explanation:
sin(2x) − cos x
Use double angle formula.
2 sin x cos x − cos x
Factor.
cos x (2 sin x − 1)
Given:
Desmond deposits $ 50 monthly.
Yearly he deposits = $50×12 = $ 600
Rate of interest compounded monthly = 4.7%
To find the amount he will receive after 10 years and the rate of change the value of his account after 10 years.
Formula
where,
A be the final amount
P be the principal
r be the rate of interest
t be the time and
n be the number of times the interest is compounded.
Now,
Taking,
P = 600, r = 4.7, n = 12, t = 10 we get,
or,
or,
Now,
At starting he has $ 600
At the end of 10 years he will be having $ 959.1
So,
The amount of change in his account = $ (959.1-600) = $ 359.1
Therefore the rate of change =
= 59.85%
Hence,
a) His account will contain $ 959.1 after 10 years.
b) The rate of change in his account is 59.85% after 10 years.
Answer:
61 degrees
Step-by-step explanation:
m∡QRT=m∡SRT
5x – 9=2x + 33
3x=42
x=14
∡SRT=2x+33
∡SRT=2(14)+33
∡SRT=28+33
∡SRT = 61