Answer:
x = -7
Step-by-step explanation:
41 + 76 + x + 70 = 180
x + 187 = 180
x = 180 - 187
x = -7
Answer:
$22.5
Step-by-step explanation:
2.5% = .025
900 divided by 1.5 = 600
600 multiplied by .025 = 15
15 divided by .5 = 7.5
15 + 7.5 = 22.5
Answer:
E (Y) = 3
Step-by-step explanation:
If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)
The probability of odd number roll will be, p(T) = 
However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the probability of even number roll, p(U) = 
In order to calculate: E (Y); We can say Y to be the number of times you roll.
We know that;
E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)
Let us calculate E ( Y|T ) and E ( Y|U )
Y|T ≅ geometric = 
Y|U ≅ geometric = 
also; x ≅ geometric (p)
∴ E (x) =
⇒
= 4 ; also
= 2
E (Y) = 4 ×
+ 2 ×
= 2+1
E (Y) = 3
Answer:
-4.84
Step-by-step explanation:
the -4.84 is closest to the positive side of a number line. meaning -4.84 is greater
Answer:
She should contribute $ 8369.38 ( approx )
Step-by-step explanation:
Let P be the amount invested by the other partner,
∵ The amount formula in compound interest,

Where,
r = annual rate,
n = number of compounding periods in a year,
t = number of years,
Here, r = 9% = 0.09, n = 4 ( quarters in a year ), t = 2 years,
Then the amount after 2 years,

According to the question,
A = $ 10,000,


