Answer:
Step-by-step explanation:
To simplify the square roots, break the number under the square root into factors. Any factors which are perfect squares may be simplified to outside the square root.
and
Answer:
...
Step-by-step explanation:
1. <span><span>20,000 </span><span>+7,000 </span><span>+500 </span><span>+40 </span><span>+9 -----WORD FORM :</span></span>twenty-seven thousand,
five hundred forty-nine
2. <span>Expanded Numbers Form:
</span>
<span><span> 700,000 </span><span>+90,000 </span><span>+2,000 </span><span>+0 </span><span>+60 </span><span>+5 </span></span>
WORD FORM : seven hundred ninety-two thousand,
sixty-five
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
