Answer:
Value of x =20
Step-by-step explanation:
Given: EF = 9x+14 units , FG = 56 units and EG = 250 units.
Segment Addition Postulates states the following for 3 points that are collinear.
i.e, Let three points A, B and C are collinear and B is between A and C.
i,e AC = AB + BC
By Segment addition postulates; solve for x;
EG = EF + FG
Substitute the given values we get;
250 = 9x + 14 + 56
or
250 = 9x + 70
Subtract 70 on both sides we get;
250 -70 = 9x + 70 -70
Simplify:
180 = 9x
Divide both sides by 9 we get;
Simplify:
x = 20
Therefore, the value of x =20
has no antiderivative in terms of elementary functions (polynomials, exponentials, logarithms, trigonometric functions, etc), but there is a special function defined to fit that role called the error function, 
, where
By the fundamental theorem of calculus, we can see that
which means we have
Answer:
Step-by-step explanation:
A). "If you do not study and fail the next test"
Two statements are combined in the given statement.
"If you don't study" and "fail the next test"
Second statement is the consequence of the first statement.
Therefore, events are dependent.
B). If you select a card from a deck and without replacing it, you select another card.
Here, selection of a card from a deck without replacing it doesn't affects the selection of another card.
Therefore, both the events are independent.
Answer:
(a) 95% confidence interval for the percent of all adults who want to lose weight is (48%, 54%) that is between 48% and 54%
(b) to say that we have 95% confidence in this interval means that there is 95% chance that the true percentage of all adults who wants to lose weight falls in this interval.
Step-by-step explanation:
The question is missing, complete question is below:
A Gallup Poll found that 51% of the people in its sample said "yes" when asked, "Would you like to lose weight?" Gallup announced: "With 95% confidence for results based on the total sample of national adults, one can say that the margin of sampling error is ± 3%."
(a) What is the 95% confidence interval for the percent of all adults who want to lose weight?
(b) What does it mean to say that we have 95% confidence in this interval?
Confidence Interval can be calculated using p±ME where
- p is the sample proportion of national adults who want to lose weight (51%)
- ME is the margin of sampling error (± 3%)
Diagonal of the rectangular prism=√(l²+w²+h²)
√(l²+w²+h²)=√(100+25+64)=√189 cm
