Answer:
Step-by-step explanation:
Let the number is in the form of xyz
<h3>We have</h3>
Sum of the digits is 19
The second digit is one more than the first digit
The third digit is two more than the second digit
- z = y + 2 = x + 1 + 2 = x + 3
<u>Substitute the values of y and z</u> into the first equation and solve for x
- x + x + 1 + x + 3 = 19
- 3x + 4 = 19
- 3x = 15
- x = 5
<u>Find the value of y and z</u>
- y = 5 + 1 = 6
- z = 5 + 3 = 8
The number is 568
Answer:
Step-by-step explanation:
For the null hypothesis,
µ = 60
For the alternative hypothesis,
h1: µ < 60
This is a left tailed test
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 100,
Degrees of freedom, df = n - 1 = 100 - 1 = 99
t = (x - µ)/(s/√n)
Where
x = sample mean = 52
µ = population mean = 60
s = samples standard deviation = 22
t = (52 - 60)/(22/√100) = - 3.64
We would determine the p value using the t test calculator. It becomes
p = 0.00023
We would reject the null hypothesis if α = 0.05 > 0.00023
Answer:
-x+5
Step-by-step explanation:
5-5x+4x
= 5+(-5x)+4x
combine like terms:
5+(-5x)+4x
(-5x+4x)+(5)
= -x+5
The answer is (D) or 1728 In³
Hello!
Answer:
To solve, we will need to use Right-Triangle Trigonometry:
Begin by solving for angles ∠S and ∠R using tangent (tan = opp/adj)
tan ∠S = a / (1/2b)
tan ∠S = 3√5 / 14
tan ∠S ≈ 0.479
arctan 0.479 = m∠S (inverse)
m∠S and m∠R ≈ 25.6°
Use cosine to solve for the hypotenuse, or the missing side-length:
cos ∠S = 14 / x
x · cos (25.6) = 14
x = 14 / cos(25.6)
x ≈ 15.52
Both triangles are congruent, so we can go ahead and find the perimeter of the figure:
RS + RQ + QS = 28 + 15.52 + 15.52 = 59.04 units.
Hope this helped you! :)
