Answer:
(D)R: x+2=7
Step-by-step explanation:
Given the statement P:x=5
An equivalent statement will be a statement whose result is exactly x=5.
From the given options:
R: x+2=7
R: x=7-2
R: x=5
Therefore, R is an equivalent statement.
The correct option is D.
% increase = Increase ÷ Original Number × 100. If the answer is a negative number, that means the percentage change is a decrease.
a_3 is 45 and a_10 is 98415
Step-by-step explanation:
Given
a_1 = 5
a_2 = 15
First of all we have to calculate the common ratio of the sequence. The common ratio is the ratio between two consecutive terms of a geometric sequence.
So,

The explicit formula for geometric sequence is:

Putting the value of r and a_1

Putting n=3 in the explicit formula

Putting n=10 for tenth term

Hence,
a_3 is 45 and a_10 is 98415
Keywords: Geometric sequence, Explicit formula
Learn more about geometric sequence at:
#LearnwithBrainly
Answer:
(x - 6)(x - 6)
Step-by-step explanation:
The given quadratic equation is
.
A quadratic equation can be factored in the form
where
and
will form the roots of the equation.
Here the roots are:
.
The factored form would simply be:
.
Outcome on winning = $100 - $20 = $80
Outcome on losing = $20
Probability of winning = 1/6
Probability of losing = 5/6
Expected Value = 1/6 (80) +5/6(-20) = -3.333
This shows on average from each game, the game earns $ 3.333.
So, if 1000 such games are played, the game will earn 1000 x 3.33 = $3330
So, the answer to this question is option A