Answer:
A. 5
Step-by-step explanation:
The longest side of the right triangle is the hypotenuse and it is √61 units. The other legs of the triangle is x unit and (x + 1) units.
From Pythagoras theorem for right angle triangle, the square of the hypotenuse is equal to the sum of the square of the other sides of the triangle. This implies that:
(√61)² = (x)² + (x + 1)²
x² + x² + 2x + 1 = 61
2x² + 2x + 1 - 61 = 0
2x² + 2x -60 = 0
Dividing through by 2 gives:
x² + x - 30 = 0
x² + 6x - 5x - 30 = 0
x(x + 6) -5(x + 6) = 0
(x-5)(x+6) = 0
x-5 = 0 or x+6 = 0
x = 5 or x = -6
Since the length of a side cannot be negative, x = 5 units
The values In wxyz are mathematically given as
W=4
y=5
X=0
<h3>What is the values In
XYZ?</h3>
- My one's digit and my tens digit together make up a total of seven.
- My one digit has three more digits than my tens digit does.
Let the equation for the number be: wxyz.
- Digits at tens place = yz
- Diglt at ones place = z
Generally, the equation for is mathematically given as
z+y=7 ......1
y=2+3 .......2
solving further
z+3+z-7
2z 7-3
z=2
Putting the value of z Within the second equation:
y=z+3 y=2+3
y=5
1. The digit in the thousands place of my number is 4, and
2. The digit in the hundreds place is four fewer than the digit in the thousands place.
W=4
X=w-4
x=4-4
X=0
In conclusion, the values In wxyz are
W=4
y=5
X=0
Read more about digits
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Answer:
Probability of Type 1 error = 0.033
Probability of type II error = 0.952
Step-by-step explanation:
H0: Individual does not have disease
H1: individual has disease
Type 1 error occurs when we fail to accept a correct null hypothesis and accept an alternate Instead
Type ii error occurs when we accept a false null hypothesis instead of the alternate hypothesis
Probability of people with disease = 98.4%
Probability of people without disease = 3.3%
1.probability of type 1 error = 3.3/100
= 0.033
2. Probability of type ii error = (1-98.4%) = 1-0.948
= 0.052
From what it sounds like your suppose to substitute 7 for all x's with in the equation :
2(7)^3-9(7)^2-32(7)-21
USE PEMDAS to solve hopefully this helps and anyone else feel free to add the correct answers if my way is incorrect.
Answer: is 2.11
explanation: We have to do 12.66/6=2.11
we have to divide