Dans computer reads 68% of battery left after 1 hour. If the rate of using power remains the same, about how much longer will hi
1 answer:
Answer:
28 minutes
Step-by-step explanation:
Dans computer reads 68% of battery left after 1 hour. This means that 1 hour is 68% of the computer's entire battery life.
Let the entire battery life be x (in hours). Hence:
Therefore:
=> x = 1.47 hrs = 1 hr 28 minutes
Hence, the entire battery life is 1 hr 28 minutes.
If 1 hour has elapsed, the remaining time left for his battery to provide power will therefore be:
1 hr 28 minutes - 1 hr = 28 minutes
His battery will provide power for 28 more minutes.
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Answer:
j=13, g=20.8, h=24
Step-by-step explanation:
The overall shape given and the shape within, are both right triangles. With right triangles, you are allowed to use the pythagorean theorem formula () in order to solve for some sides. In this case, that would be j and h. The five in the smaller triangle is represented by b and the 12 is the hypotenuse so it is represented by c. When you plug in those numbers in the pythagorean theorem formula, you will find the value of j to be 13. When looking at this, we see that 12 is the second greatest value in the right triangle values that we just found, so we know the the opposing angle for that one will be 60 degrees. The 5's opposing side is therefore 30 degrees. When subtracting 90 and 30, we get 60, so therefore you can use the 30 60 90 formula to find the sides of the bigger triangle. The 60 degrees represents g. This formula will be
. The a is 12 since it is the smallest value. So therefore, g is
, which is 20.8. Now that we have this side, we can just use the pythagorean theorem formula to find the remaining side. Therefore, h is going to be 24
Answer:
There is no sufficient evidence to support the claim that wedding cost is less than $30000.
Step-by-step explanation:
Values (x) ∑(Xi-X)^2
----------------------------------
29.1 0.1702
28.5 1.0252
28.8 0.5077
29.4 0.0127
29.8 0.0827
29.8 0.0827
30.1 0.3452
30.6 1.1827
----------------------------------------
236.1 3.4088
Mean = 236.1 / 8 = 29.51
Statement of the null hypothesis:
H0: u ≥ 30 the mean wedding cost is not less than $30,000
H1: u < 30 the mean wedding cost is less than $30,000
Test Statistic:
Test criteria:
SIgnificance level = 0.05
Degrees of freedom = df = n - 1 = 8 - 1 = 7
Reject null hypothesis (H0) if
Finding in the t distribution table α=0.05 with df=7, we have
= -1.9861 > -2.365
Result: Fail to reject null hypothesis
Conclusion: Do no reject the null hypothesis
u ≥ 30 the mean wedding cost is not less than $30,000
There is no sufficient evidence to support the claim that wedding cost is less than $30000.
Hope this helps!
Answer:
y = 5 and y = 1
Step-by-step explanation:
⇒ (3y - 2)² + 7 - 7 = 43 - 7
⇒ (3y - 2)² = 36
⇒ √(3y - 9)² = √36
⇒ 3y - 9 = ±6
⇒ 3y - 9 + 9 = 6 + 9
⇒ 3y = 15
⇒ 3y/3 = 15/3
⇒ y = 5
⇒ 3y - 9 + 9 = -6 + 9
⇒ 3y = 3
⇒ 3y/3 = 3/3
⇒ y = 1