Answer:
The volume of the regular tetrahedron is 283.5 m³
Step-by-step explanation:
The formula of the volume of the regular tetrahedron is V = 
A h, where
∵ The area of the base of a regular tetrahedron is 98.9 m²
∴ A = 98.9 m²
∵ The height of it is 8.6 m
∴ h = 8.6 m
→ Substitute them in the formula of the volume above
∵ V = (98.9)(8.6)
∴ V = 283.5133333 m³
→ Round it to the nearest tenth of a cubic meters
∴ V = 283.5 m³
∴ The volume of the regular tetrahedron is 283.5 m³
I’m pretty sure Dani will pay $13.23 :) I hope I helped
Answer:
Step-by-step explanation:
y-(-2)=22(x-(-2))
<h2>
Answer with explanation:</h2>
Let 
be the population mean.
By considering the given information , we have
Null hypothesis : 
Alternative hypothesis : 
Since alternative hypothesis is right-tailed , so the test is a right-tailed test.
Given : Sample size : n=16 , which is a small sample , so we use t-test.
Sample mean: 
;
Standard deviation: 
Test statistic for population mean:
i.e. 
Using the standard normal distribution table of t , we have
Critical value for 
: 
Since , the absolute value of t (2.333) is smaller than the critical value of t (2.602) , it means we do not have sufficient evidence to reject the null hypothesis.
Hence, we conclude that we do not have enough evidence to support the claim that answering questions while studying produce significantly higher exam scores.
Answer:
The number of pies baked in the two years = ( k + 145) pies
Step-by-step explanation:
Here, we are interested in writing an expression for the total number of pies baked in the two years.
Last year, the number of pies baked = 145
This year the number of pies baked = k
Thus, the total number of pies baked in the two years will be ( k + 145) pies
