Answer:
see explanation
Step-by-step explanation:
∠c = ∠ a = 47° ( vertical angles )
∠c and ∠b form a straight angle and are supplementary, thus
∠c + ∠b = 180, that is
47 + ∠b = 180 ( subtract 47 from both sides )
∠b = 133°
∠d = ∠b = 133° ( vertical angles )
That is a = c = 47° and b = d = 133°
The sum of the 4 angles = 133° + 47° + 47° + 133° = 360°
360° is the sum of the angles round a point , hence answer is correct
Answer:
A. 25
Step-by-step explanation:
25 split into 5 groups, 5 in each of them.
There are 5 20's in 100 (the total)
25 = 5 + 5 + 5 + 5 + 5
I hope the explanation makes sense!
d.30
Answer:
Solution given:
x. f. fx
13. 15. 195
14. 42 588
15. x. 15x
16. 10. 160
17. 3. 51
. n=70+x. =994+15x
we have
mean=sum/n
14.44=
14.44=
doing crisscrossed multiplication
(70+x)*14.44=994+15x
1010.8+14.44x=994+15x
15x-14.44x=1010.8-994
0.56x=16.8
x=16.8/0.56
x=30
To travel to Orlando is time=300/70=4.29 hours
x=hours traveller
Since there is 30 miles left in trip, the distance already traveled is 300-30=270
Set proportion
300/4.29=270/x
300x=(270)(4.29)
300x=1158.3
300/300x=1158.3/300
x≈3.86 hours ☆☆☆☆☆☆☆SOLUTION
Answer:
0.191 is the probability that a group of 12 randomly selected applicants would have a mean SAT score that is greater than 525 but below the current admission standard of 584.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 500
Standard Deviation, σ = 100
n = 12
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Formula:
P(greater than 525 but 584)
Standard error due to sampling =
0.191 is the probability that a group of 12 randomly selected applicants would have a mean SAT score that is greater than 525 but below the current admission standard of 584.