Answer:
C
Step-by-step explanation:
I would say C because,
Even + Even = Even.
Odd + Odd = Odd.
So simply, you can't have an even number if you add it to a odd.
Even + Odd = Odd
Answer:
Step-by-step explanation:
From the given information:
Let assume that the invested amount in the investment paying 8% interest is a
Now, since the total amount invested = $3000.
Then, the amount invested in the investment that will be paying 10% interest can be represented as:
= $(3000-a)
Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a
Income earned from $(3000-a) in the 10% investment is:
= $(3000-a)× 10/100
= $(300 - 0.1a)
Since total income of the two investment = $290;
Then;
0.08a + (300 - 0.1a) = 290
0.08a + 300 - 0.1a = 20-
300 - 0.02a = 290
-0.02a = -10
a = -10/-0.02
x = 500
Thus;
the amount invested in an investment paying 8% interest = $500
the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500
Answer:
Step-by-step explanation:
w=l-1
∵A=l×w
∴A=l×(l-1)
⇒42=l²-l
⇒l²-l-42=0 (After subtracting 42 from both sides)
Two factors of 42 that add to give negative 1 :-7+6
∴ (l-7)(l+6)=0
∴ l=7 or l=-6
but remember that length is a scalar quantity, hence l≠6 but l=7.
I hope this helped you solve this math problem and made you better understand
Answer: P(x ≥ 47) = 0.25
Step-by-step explanation:
Since the distribution of the life expectancies of a certain protozoan is normal, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancies of the certain protozoan.
µ = mean
σ = standard deviation
n = number of samples
From the information given,
µ = 46 days
σ = 10.5 days
n = 49
The probability that a simple random sample of 49 protozoa will have a mean life expectancy of 47 or more days is expressed as
P(x ≥ 47) = 1 - P(x < 47)
For x = 47
z = (47 - 46)/(10.5/√49) = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.0.75
P(x ≥ 47) = 1 - 0.75 = 0.25
