We know that 5 fits entirely into our number three times, and then there's a remainder of 4.
If 5 fits three times exactly, it means that our number is at least 15 (5x3).
From here, we have a remainder of 4, which leads to 15+4=19
4x(3+2)-6x1= 14 is the answer
Answer:
We have strong evidence that on average, students study less than 150 minutes per night during the school week
Step-by-step explanation:
Normal distribution:
mean μ₀ = 150
Sample:
Sample size n = 272
Sample mean x = 141
Sample standard deviation s = 66
The standard error of the sample mean SE = σ /√n
SE = 66/√272
SE = 66 / 16,49
SE = 4
Test Hypothesis:
Null hypothesis H₀ x = μ₀
Alternative hypothesis Hₐ x < μ₀
z(s) test statistics is:
z(s) = ( x - μ₀ ) / s/√n
z(s) = - 9 /4
z(s) = - 2,25
p-value for that z(s) p-value = 0,0122
Then for α = 0,05 p-value < 0,05
We are in the rejection region we need to reject H₀
Area: 78.5 inches squared
Circumference: 31.4
Answer:
<u>no solution</u>
Step-by-step explanation:
6x + 10 = 6x + 21
<em>combine like terms</em>
6x - 6x = 21 - 10
<em>combine like terms</em>
0 11
<u>no solution</u>