The measure of an angle is 10.3°. What is the measure of a supplementary angle?
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Hope this helps.
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Is 9/10 greater than 7/10
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Answer:
7mn
Step-by-step explanation:
because 7 goes into both. but there is only one letter in each if you took more you would be in debt which you can't do with gcf
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The 90% confidence interval will be "(0.674, 0.748)".
Given:
Sample no. of events,
- x = 293
Sample size,
- n = 412
Now,
The sample proportion will be:
→
The significance level will be:
Form the z-table,
The critical value,
Now,
The standard error will be:
=
=
and,
The margin of error,
→
Now,
The lower limit will be:
=
=
The upper limit will be:
=
=
hence,
The CI is "(0.6744, 0.748)". Thus the response above is right.
Learn more about confidence interval here:
Answer:
CI = (0.674, 0.748)
Step-by-step explanation:
The confidence interval of a proportion is:
CI = p ± SE × CV,
where p is the proportion, SE is the standard error, and CV is the critical value (either a t-score or a z-score).
We already know the proportion:
p = 293/412
p = 0.711
But we need to find the standard error and the critical value.
The standard error is:
SE = √(p (1 − p) / n)
SE = √(0.711 × (1 − 0.711) / 412)
SE = 0.0223
To find the critical value, we must first find the alpha level and the degrees of freedom.
The alpha level for a 90% confidence interval is:
α = (1 − 0.90) / 2 = 0.05
The degrees of freedom is one less than the sample size:
df = 412 − 1 = 411
Since df > 30, we can approximate this with a normal distribution.
If we look up the alpha level in a z score table or with a calculator, we find the z-score is 1.645. That's our critical value. CV = 1.645.
Now we can find the confidence interval:
CI = 0.711 ± 0.0223 * 1.645
CI = 0.711 ± 0.0367
CI = (0.674, 0.748)
So we are 90% confident that the proportion of adults connected to the internet from home is between 0.674 and 0.748.
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Height of the tree is 87 ft
Step-by-step explanation:
- Step 1: Find the height of the tree using trigonometric ratio tan.
Angle = 44°, adjacent side = 90 ft
⇒ tan 44° = opposite side/adjacent side
∴ Opposite Side = adjacent side × tan 44°
= 90 × 0.97
= 86.91 ft ≈ 87 ft
⇒ Height of the tree is 87 ft
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7g - 12 = 3 + 7/3g
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