Answer:
% of apple juice = 100-20 = 80%
mango : apple
= 20 : 80
= 1 : 4
7th term is 15 and the fourth term is 9
Common difference: (15-9)/(7-4) = 2
Counting backwards from the fourth term will give us the "zeroth term"
A0 = 1
The closed formula for the sequence is
An = dn + A0
The 25th term is:
A25 = 2(25) + 1
A25 = 51
Hope this helps!
Answer:
See proof below
Step-by-step explanation:
Let x,y be arbitrary real numbers. We want to prove that if x≠y then f(x)≠f(y) (this is the definition of 1-1).
If x≠y, we can assume, without loss of generality that x<y using the trichotomy law of real numbers (without loss of generality means that the argument in this proof is the same if we assume y<x).
Because f is strictly increasing, x<y implies that f(x)<f(y). Therefore f(x)≠f(y) because of the trichotomy law, and hence f is one-to-one.
Answer:
Null Hypothesis: 
Alternative Hypothesis: 
Step-by-step explanation:
It is given that the mean height of a certain kind of plant is 171 centimeters.
Null Hypothesis: A hypotheses of no statistical significant difference is known as null hypothesis. The null hypotheses for this test is
Alternative Hypothesis: If a hypothesis is used in hypothesis testing that is contrary to the null hypothesis is known as alternative hypotheses. The alternative hypotheses for this test is
Answer: he has 15 more basketball cards than baseball cards.
Step-by-step explanation:
The total number of sport trading cards that Gerry has is 50.
Of those cards, 1/5 of them are baseball cards. This means that the number of baseball cards that he has is
1/5 × 50 = 10
1/10 of them are football cards. This means that the number of football cards that he has is
1/10 × 50 = 5
If the rest are basketball cards, it means that the number of basketball cards that he has is
50 - (10 + 15) = 50 - 25 = 25
Therefore, the number if basketball cards that he has more than baseball cards is
25 - 10 = 15
