Answer:
Step-by-step explanation:
Given that,
The area of the base = 13.2 cm²
The height of the pyramid = 13.7 cm
We need to find the volume of this pyramid. The formula can be given by :
Put all the values,
So, the volume of the pyramid is equal to 
.
The integers are 12, 14.
Solution:
Let the even consecutive integers be x and x + 2.
Lesser number = x and Greater number = x + 2
Lesser number = Half of greater number + 5
To add the numbers, denominators must be same. So multiply 5 by 
.
Multiply by 2 on both sides, we get
⇒ 2x = x + 12
Subtract x from both sides.
⇒ x = 12
Lesser number = 12
Greater number = 12 + 2 = 14
Hence the integers are 12, 14.
Answer:
Interpretation of P-value.
Step-by-step explanation:
- P values helps us to evaluate and act as an indicator how well the sample data support the null hypothesis is true.
- Thus, in a way it helps us to tell that the information obtained from the sample is true in respect to the population or not.
- It measures how close the data are with respect to the null hypothesis.
-
High P-values means that the data supports the null hypothesis and sample provides correct information about the population.
- A high p value states that the sample is taken from the population.
- Low P-values means that the data does not supports the null hypothesis and sample does not provides correct information about the population.
- A low p value states that the sample is not taken from the population.
- A low P value suggests that the sample provides enough evidence and information, that we can reject the null hypothesis for the entire population or we can conclude that the sample does not belong to the population.
- If p-value of 0.002 is less than the significance level than it provides enough evidence that we reject the null hypothesis.
- Thus a low p value of 0.002 says that large group of late lunch eaters lost less weight than a large group of early lunch eaters.
- Thus, this sample does not belong to the population where the loss in weight was same.
Answer:
Step-by-step explanation:
Once again, we have a problem with the |x| in it, so like last time, every number that is the outcome within those brackets, is positive.
Let us check:
A. x = 21 over 4 and x = -11 over 4
This one is a very simple to say no to, as we are talking about decimals (if you convert into decimals at this point), as in -16 there are no decimals.
False.
B. x = -1 and x = 9
-1 is correct. But 9 is not. Why? Here:
9 + 5 is 14
14 the multiplied by -4 does not equal -16
False.
C. x = -1 and x = -9
Like what I said before, -1 is correct, now in this answer, -9 is also correct.
Unlike the last one, this one is -9 + 5 which is -4, then since it is inside the positive brackets, the number 4 becomes positive.
4 * -4 = -16
True.
The last one is incorrect. You know why
;)
Answer:
yes
Step-by-step explanation:
s + 2c = 47
5s+8c = 200
which one checks as in the other solution does not have a solution in non-negative integers. On the other hand, the analogous system
s + 2c = 47
5s+8c = 201
with solution s=13 and c=17. So, as in the other solution, we conclude that the extra dollar belongs in the cash box, with 13 singles and 17 couples attending the dance.
