Answer:
x=6, x=-5
Step-by-step explanation:
Factoring this quadratic gets you (x-6)(x+5)=0, for this to be possible, either x-6 or x+5 has to be zero, so therefor x is 6, or x is -5
Answer: 12
Step-by-step explanation: I assume you are talking about a triangle in which the Hypotenuse is 15 and leg A is 9
in this case we have to use a reverse pythagorean theorem
the original one is a^ + b^ = c^ then reverse it to get c^ - a ^ = b^
we know that C is 15 and A is 9 so substitute
15^ - 9^ = b^
15 ^ = 225 and 9^ = 81 so substitute again
225 - 81 = b^ then subtract
144 = b^ you know that the square root of 144 is 12 because 12 x 12 = 144
so 12 is the last side
hope this helps mark me brainliest if it did
Answer:
-4 = slope
Step-by-step explanation:
Answer:
The 80% confidence interval for the mean
(4.6199 , 4.7801)
Step-by-step explanation:
<u>Explanation</u>:-
Assuming that the population standard deviation for the number of energy drinks consumed each week is 1
Given the Population standard deviation 'σ' = 1
The study found that for a sample of 256 teenagers the mean number of energy drinks consumed per week is 4.7
given sample size 'n' = 256
mean of the sample 'x⁻' = 4.7
<u>confidence interval for the mean</u>
The 80% confidence interval for the mean is determined by
the z-score of 80% level of significance = 1.282
(4.7 - 0.0801 , 4.7 +0.0801)
(4.6199 , 4.7801)
<u>Conclusion</u>:-
The 80% confidence interval for the mean
(4.6199 , 4.7801)
As a general rule, a percentage can be converted to a decimal fraction by dividing the given percentage by 100%.
63 1/3% is equivalent to 190/3% . Dividing this by 100%, we get 190/300, or 19/30.
63 1/3% of 60 is what? To determine this, multiply 60 by 19/30. That comes out to (60)(19)/30, or 2(19), or 38 (answer).
