23/6
Now how many times does 6 go in 23 ???
The answer is 3 times
So, Remaining
= 23 - (6×3)
= 23- 18
= 5
So, the mixed fraction would be
= 3 5/6
Answer: Arc CE measures 62 units
Step-by-step explanation: What we have in the question is a circle with two secants ABC and ADE. The two secants have been extended such that two arcs have been formed which are, major arc CE (that is, 4x - 10) and minor arc BD (that is 26).
When you have a circle with two intersecting secants, the angle x (that is angle CAE) is derived as half of the difference of the two intercepted arcs. That is;
Angle x = 1/2 [CE - BD)
Angle x = 1/2 [ (4x - 10) - 26]
Angle x = 1/2(4x - 36)
Cross multiply and we now have
2x = 4x - 36
Collect like terms and we now have
36 = 4x - 2x
36 = 2x
Divide both sides by 2
18 = x
Having calculated x as 18, where arc CE equals 4x - 10, then substitute for the value of x.
CE = 4(18) - 10
CE = 72 - 10
CE = 62
Turn phrases into mathmatical expressions:
"<span>one side(s) twice the length of the shortest side(x)" = 2x
"</span><span>the third side(t) is 30 feet more than the length of the shortest side " = x+30
</span>Shortest side= x
Perimeter= side1+ side 2 + side 3
138ft= x+2x+x+30
138= 4x+30
108=4x
x= 27 feet
Answer:
The shortest side is 27ft. The middle side 2x= 2(27)= 54ft. The longest side being x+30= 27+30= 57ft.
Answer:
Check Explanation
Step-by-step explanation:
a) Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample mean) ± (Margin of error)
With p(japan) representing the true population proportion of US automobile that are made in Japan, the computer output 90% confidence
0.29938661 < p(japan) < 0.46984416
mean that p(japan); the true population proportion of US automobile that are made in Japan lies within the range of proportions (0.29938661, 0.46984416) with an assurance level of 90%.
b) 90% confidence mean that the true proportion may or may not be in the given range, but we are 90% certain that it does.
c) The confidence interval contradicts the politician's claim that "Half of all cars in the United States are made in Japan" because the proportion in the politician's claim, (0.50), does not lie within the range of values that our confidence interval says the true population proportion can take on; (0.29938661, 0.46984416).
0.50 lies outside of the confidence interval obtained for the true population proportion of US automobiles that are made in Japan, hence, the confidence interval contradicts the politician's claim.
Hope this Helps!!!
20% of 215,000......turn ur percent to a decimal...." of " means multiply
0.20(215,000) = 43,000
