Answer:
17 in
Step-by-step explanation:
Rectangle:
(4*2)+(5*2)
8+10 =18
Triangle:
5+4+3 =12
Both:
12+18 = 30
minus where the rectangle and triangle are together
30-3 = 17
Determine the next three terms in the following sequence: 2, 3, 5, 8, ____, ____, ____,... a. 13, 19, 26 b. 12, 17, 23 c. 12, 16
Olenka [21]
Answer:
B. 12,17,23
Step-by-step explanation:
2,3,5,8, _,_,_
2,3 is increased by 1
3,5 is increased by 2
5,8 is increased by 3. theres our pattern, each time it increases it follows the next number so the next 3 numbers it would be increased by is. 4,5,6.
Now knowing it is 4,5,6 we need to add, start adding.
8+4=12. Which answers have 12 in them? B and C.
We know 12 is the next number, now we add 5 to that.
12+5=17.
B has 17 but C doesn't, so that tells you its most likely going to be B. To make sure add 6 to 17.
17+6=23. Its true that it is B, as B is 12.17.23.
Answer: (14.4, 17.2)
Step-by-step explanation: We are to construct a 98% confidence interval for mean household usage of electricity.
We have been given that
Sample size (n) = 872
Sample mean (x) = 15.8
Population standard deviation (σ) = 1.8
The formulae that defines the 98% confidence interval for mean is given below as
u = x + Zα/2 × σ/√n...... For the upper limit
u = x - Zα/2 × σ/√n...... For the lower limit
Zα/2 = critical value for a 2% level of significance in a two tailed test = 2.33
By substituting the parameters we have that
For upper tailed
u = 15.8 + 2.33 × (1.8/√872)
u = 15.8 + 2.33 (0.6096)
u = 15.8 + 1.4203
u = 17.2
For lower tailed
u = 15.8 - 2.33 × (1.8/√872)
u = 15.8 - 2.33 (0.6096)
u = 15.8 - 1.4203
u = 14.4
Hence the 98% confidence interval for population mean usage of electricity is (14.4kwh, 17.2kwh)
The opposite of -3/4 is 3/4.
Using the Central Limit Theorem, the shape of the frequency curve will be approximately normal.
<h3>What does the Central Limit Theorem state?</h3>
It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean 
and standard deviation 
, as long as 
and 
.
Hence, the shape of the frequency curve will be approximately normal.
More can be learned about the Central Limit Theorem at brainly.com/question/24663213
