Answer:
x = 9º
∠B = 40º
Step-by-step explanation:
5x-5º = 3x+13º
<em>[add 5 to both sides]</em>
5x = 3x+18º
<em>[subtract 3x from both sides]</em>
2x = 18º
<em>[divide each side by 2]</em>
x = 9º
/ / / / / / / / / / / / / / / / / / /
3x+13º = 3(9º)+13º=27º+13º = 40º
Answer:
[
3
,
∞
)
Set-Builder Notation:
{
x
|
x
≥
3
}
Step-by-step explanation:
Answer:
We accept H₀ , we do not have enought evidence for rejecting H₀
Step-by-step explanation:
Normal Distribution
sample size n = 60
standard deviation σ = 15
1.Hypothesis Test : Is a one tailed-test on the right
H₀ null hypothesis μ₀ = 50
Hₐ alternative hypothesis μ₀ > 50
2.-We will do the test for a significance level α = 0,01 tht means for a 99% interval of confidence
then z(c) = 2.32
3.- We compute z(s)
z(s) = [ ( μ - μ₀ ) /( σ/√n ) ⇒ z(s) = ( 2 * √60 ) / 15
z(s) = 15.49/15 ⇒ z(s) = 1.033
4.- We compare values of z(c) and z(s)
z(s) < z(c) 1.033 < 2.32
z(s) is in the acceptance region so we accept H₀ , we do not have enough evidence for rejecting H₀
Answer:
35.235
Step-by-step explanation:
because 78.3*0.45 = 35.235
Answer:
-15º F.
Step-by-step explanation:
Given that on Monday in Minneapolis, Minnesota it’s was 0 ° F outside, while on Tuesday it was 15 degrees colder, to determine what was the temperature on Tuesday the following calculation must be performed:
0 - 15 = X
-15 = X
Thus, the temperature on Thursday was -15º Fahrenheit, which is equal to -26.11º Celcius.