Answer: h = 12mm
Step-by-step explanation:
The volume of a pyramid is given as :
V = 
lwh
Therefore:
324 = lwh
324 x 3 = 9 x 9 x h
Therefore:
h = 972/81
h = 12mm
Answer: C) H0 : μ = 250 , Ha: μ < 250
Step-by-step explanation:
The questions is incomplete. The correct question is
A restaurant advertises that its burritos weigh 250 g. A consumer advocacy group doubts this claim, and they obtain a random sample of these burritos to test if the mean weight is significantly lower than 250 g. Let u be the mean weight of the burritos at this restaurant and ĉ be the mean weight of the burritos in the sample. Which of the following is an appropriate set of hypotheses for their significance test? Choose 1 answer:
A) H0 : x = 250 , Ha : x < 250
B) H0 : x = 250 , Ha : x > 250
C) H0 : μ = 250 , Ha: μ < 250
C) H0 : μ = 250 , Ha: μ > 250
Solution:
The null hypothesis is the hypothesis that is assumed to be true. The restaurant advertises that its burritos weigh 250. This is the null hypothesis. 250 is the population mean,μ . Thus, the null hypothesis is
H0 : μ = 250
The alternative hypothesis is what the researcher expects or predicts. The consumer advocacy group tests if the mean weight is significantly lower than 250g. This is the alternative hypothesis. It is expressed as
H0 : μ < 250
-1/2( 3x -4) = 11
Use distributive properties:
-3/2 + 2,= 11
Subtract 2 from both sides:
-3/2x = 9
Divide both sides by -3/2
X = 9/ -3/2
X = -6
The answer is c. -6
<h2>
Answer:</h2>
The radius of the cone is:
<h2>
Step-by-step explanation:</h2>
The total area of cone is given by:
where r is the radius of the cone and l is the slant height of the cone.
and the lateral area of cone is given by:
Hence, from equation (1) and (2) we have:
i.e.
i.e.
