Answer:
Volume = 100 cm³
Surface area of the square pyramid = 145 cm²
Step-by-step explanation:
Given:
Perpendicular height = 12cm
Square length = 5cm
Find:
Volume
Surface area of the square pyramid
Computation:
Area of base = side²
Area of base = 5²
Area of base = 25 cm²
Volume = (1/3)(A)(h)
Volume = (1/3)(25)(12)
Volume = 100 cm³
Surface area of the square pyramid = A + 1/2(P)(h)
Perimeter square pyramid = 4(s)
Perimeter square pyramid = 4(5)
Perimeter square pyramid = 20 cm
Surface area of the square pyramid = 25 + 1/2(20)(12)
Surface area of the square pyramid = 145 cm²
Answer:
Case n =5
Case n =15
Case n = 40
P value
Case n =5
Case n =15
Case n =40
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is lower than 5, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Case n =5
Case n =15
Case n = 40
P-value
Since is a left tailed test the p value would be:
Case n =5
Case n =15
Case n =40
Answer:
19x - 6
Step-by-step explanation:
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(a) It is leaking 18 liters per minute.
Explanation : From 15 minutes to 20 minutes, your starting point at 15 is 590 liters and at 20 you have exactly 500. Next you have 25 which is now at 410. So it's leaking 90 liters every five minutes, so of course dividing the two (90 ÷ 5) you get 18.
(a)² it increases for about the same time that it would decrease of course.
(b) The vat started at 860 liters before they started draining it.
Explanation : Well, all it takes is just working backwards, add 90 liters to the liters at 15 minutes and deduct five minutes from 15. Do this process until you arrive at 0. It's simple
Answer:
Step-by-step explanation:
3x+6=-5-2x-6
+2x. +2x
5x+6= -5-6
5x+6= -11
-6. -6
5x= -17
divide by 5
x= -3.4
