Adding the student with eight siblings will increase the class average amount of siblings because this student has more siblings than the average.
Therefore, the average number of siblings that each student has is larger than the original average.
The two-way table is attached.
We start out placing 31 in the Total column beside the Don't Play Baseball row. We then place 16 in the Total row under the Play Football column. 20 goes in the Don't Play Baseball row under the Don't Play Football column.
Since there are 31 people that do not play baseball, and 20 of them don't play football, this leaves us with 31-20=11 that do not play baseball and play football.
There are 58 people total, so this goes in the Total row under the Total column.
There are 58 people, and 31 of them do not play baseball; this leaves us 58-31=27 total that play baseball.
16 total people play football, and 11 of them don't play baseball. This leaves us 16-11=5 people that play football and play baseball.
There are 58 people, and 16 of them play football; this leaves us 58-16=42 total that don't play football.
42 people don't play football, and 20 of them don't play baseball; this leaves us 42-20=22 people that don't play football and play baseball.
5 people play baseball and play football, and 22 people play baseball and don't play football; this gives us 5+22=27 people total that play baseball.
Arcsin is the inverse function of sine, it switches the sine function (reverses it)
cosec is the reciprocal of sine
Answer:
-2 is bigger
Step-by-step explanation:
-2
The rate of interest at which Dylan invested is 3.09%.
The practice of adding interest to the principal of a loan or deposit is known as compound interest, sometimes known as interest on principal and interest. It happens when interest is reinvested, added to the collateral for the loan rather than paid out, or when the borrower is forced to pay it, resulting in interest being created on the principal amount plus any accumulated interest the following period. Compound interest is a prominent concept in finance and economics.
Compound interest allows interest to accumulate over time, in contrast to simple interest, which does not compound because past interest is not returned to the principle for the present period.
principal =360
time =5 years
n=5×4=20 (compounded quarterly)
Amount = 420
Now: 420 = 360(1+r)²⁰
solving for r we get:
r= 0.007737
required rate percent = 0.007737×4 = 0.00193 × 100 = 3.09%
hence the simple annual interest rate is obtained by multiplying the interest per period by the total number of periods in a year is 3.09%.
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