Answer:
9.233 ft, 23.233 ft
Step-by-step explanation:
If the shorter leg is x, then the longer leg is x+14 and the Pythagorean theorem tells you ...
x^2 + (x +14)^2 = 25^2
2x^2 +28x +196 = 625
x^2 +14x = 214.5
x^2 +14x +49 = 263.5
(x +7)^2 = 263.5
x = -7 +√263.5 ≈ 9.23268
The two leg lengths are √263.5 ± 7 feet, {9.23 ft, 23.23 ft}.
Answer:
The range is from 125 to 133.
Step-by-step explanation:
That's the lowest and highest the weights go, therefore the range is from 125 and anything in between up to 133.
Answer:
871 - \sqrt(758753)) (56) (871+\sqrt(758753)) (56) decimal form: 0.00114806, -31.0829092
Step-by-step explanation:
The answer is 3.
The fundamental theorem of algebra says that a number of zeros of a polynomial are equal to the highest exponent on a variable.
The polynomial is <span>f(x)=x</span>³<span>-10x</span>²<span>+27x-12
The highest exponent of a variable x is 3: x</span>³
Therefore, the number of zeroes of the polynomial is 3.
Answer:
Yes
We fail to reject the alternative hypothesis Hₐ < 30, that is the average age of students is less than 30
Step-by-step explanation:
Yes because, there is an average age of a sample which can be tested against a null hypotheses
We put
Null hypothesis as H₀ = 30
The alternative hypothesis as Hₐ < 30
We have
With
= 29
μ = 30
σ = 5.2
n = 65
α = 10%
We have
Here we have z = -1.55 and critical z = -1.28
Which gives a critical of 29.83 with the probability P = 0.061 < 0.1 Hence we reject the null hypothesis as there is sufficient evidence to suggest that the average age is less than 30 years.
