Answer: b^10
by property of exponents we have the relationship;
a^b*a^c=a^b+c
So we have:
b^3*b*b^4*b^2=b^3+1+4+2=b^10
Answer: 393.2 units²
<u>Step-by-step explanation:</u>
Since you know the length of two sides and the measure of the included angle, you can use the following trig formula:
Given: a = 24, b = 40, C = 55°
Answer:
0.99865
Step-by-step explanation:
The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.
To solve the above question, we would be using the z score formula
The formula for calculating a z-score
z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
In the above question,
x is 115 liters
μ is 100
σ is the population standard deviation is unknown. But we were given variance in the question.
Standard deviation = √Variance
Variance = 9
Hence, Standard deviation = √9 = 3
We go ahead to calculate our z score
z = (x-μ)/σ
z = (115 - 100) / 3
z = 15/ 3
z score = 5
Using the z score table of normal distribution to find the Probability of having a z score of 5
P(x = 115) = P(z = 5) =
0.99865
Therefore the probability that this year it will produce 115 liters of wine = 0.99865
$9.10 each boxed lunch
work:
81.90 divided by 9 equals 9.10
The ratio cans to price are 12/15.
Cross multiply: 12/15 * 7/x = 84/15x = x = 5.6
