Answer: Arnav is 1.8m
Step-by-step explanation: I multiplied 1.5 by 0.20 and then added that answer to 1.5 and then I got 1.8
:D
Answer:
Gabrielle is 69 while Mikhail is 23.
Step-by-step explanation:
Let G represent Gabrielle's age and M represent Mikhail's age.
Gabrielle is three times Mikhail's age. In other words:
The sum of their ages is 92. In other words:
This is a system of equations. Solve. Substitute in G:
Thus, Mikhail is 23. Now, find Gabrielle's age:
Gabrielle is 69.
The standard deviation is a measure of a collection of values' variance or dispersion. The true mean bill for a customer at Burger Palace with 95% confidence is $13.38.
<h3>What is a standard deviation?</h3>
The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
Given that the Sample mean (
) is $14.30, the Sample size(n) is 24 customers, the Standard deviation(σ) is 2.30, while for a 95% confidence interval the Z-score is 1.960. Therefore, the true mean can be written as,
μ = 13.3788 ≈ 13.38
Hence, the true mean bill for a customer at Burger Palace with 95% confidence is $13.38.
Learn more about Standard Deviation:
brainly.com/question/16555520
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Integrate sin(3x+1) with respect to x. Use the substitution method. Let u=3x+1 be y our substitution. Then du/dx = 3, and du = 3dx.
Then we have "integrate sin u with respect to u" . Here's where things are just a bit tricky at first. You have "integrate sin (3x+1) with respect to x." If u = 3x+1, then du/dx = 3 and du=3dx. But we don't have 3dx; we have only dx. Manipulate du=3dx as follows: du/3 = dx.
Then, "integral of sin (3x+1) dx" => "integral of sin u (du/3)"
and this is equivalent to (1/3) "integral of sin u du." We get:
(1/3)(-cos u) + c, or (-1/3)*cos u + c. Finally, subst. 3x+1 for du, obtaining
(-1/3)*cos(3x+1) + C (answer).
You should find the derivative of this as a check. If the result of your differentiation is sin(3x+1), your integral was correct. Otherwise, it's not.
Don't worry... this material becomes much easier once you've gotten the knack of it.
That's very easy. The number 5 can go to 20, 25, and 40
