DGFH is a rhombus where E is the midpoint of the lines GE and GF
please look at the image
<u>Answer</u>:
Given below.
<u>Step-by-step explanation</u>:
1) Hypotenuse
2) Using Pythagoras theorem:
35² + 12² = c²
c = √1225+144
c = √1369
c = 37 ....this is the length of missing side.
Here given that opposite is 35 , adjacent is 12 , hypotenuse is 37.
3) sin(θ) = opposite/hypotenuse
sin(θ) = 35/37
4) cos(θ) = adjacent/ hypotenuse
cos(θ) = 12/37
5) tan(θ) = opposite/adjacent
tan(θ) = 35/12
Answer:
a. Yes. This provides convincing evidence that the true proportion of all attendees who ate the fish that got sick (80%) is more than the true proportion of all attendees who did not eat the fish that got sick.
b. The mistake here would have been the rejection of the Doctor's theory or hypothesis to the effect that more attendees who ate the fish got sick than those who did not eat the fish. This is a Type 1 error. A Type 1 error occurs when a null hypothesis is rejected when it is true. On the other hand, a Type II error occurs when the null hypothesis is accepted when it should be rejected. While a Type I error is equivalent to a false positive, a Type II error is equivalent to a false negative.
Step-by-step explanation:
Total number of attendees who ordered fish = 1,000
Sample size of the attendees who ate fish = 80
Number of attendees who ate the fish and got sick = 64 (80% or 64/80)
Sample size of attendees who did not eat fish = 60
Number of attendees who did not eat fish and got sick = 39 (65% or 39/60)
Answer:
Independent: miles travelled
Dependent: gallons of gas
Gas remaining after 68 miles: 7.2 gallons
Step-by-step explanation:
Looking at the table, it appears that after every 17 miles of driving, 1 gallon of gas is used.
- 68 miles would be the next 17 miles after driving 51 miles
- this means another gallon of gas would be used, so 8.2 - 1 = 7.2 gallons left
The <u>dependent variable</u> is the variable that depends on that of another
- In this case, the dependent variable is the gallons of gas, because in order for the car to drive, it needs gas
The <u>independent variable</u> is the variable that does not depend on that of another
- In this case, the independent variable is the miles travelled
Answer: x² + 3x + 5
<u>Step-by-step explanation:</u>
f(x) = 3x + 5 g(x) = x²
(f + g)(x) = f(x) + g(x)
= 3x + 5 + x²
= x² + 3x + 5
