Answer: We should use the correct formula for tan α (which is opposite
leg over adjacent leg) tan α = 5/b
Step-by-step explanation:
See attached file
We must use the for equation of tan α = BC/AC
tan α = BC/ b tan α = 5/b tan 30⁰ = 1/√3
b = 5/√3 ⇒ b = 5/1.7320
b = 2.8868 cm
Answer:
0.659 is the probability that a tutor charges between $10 and $20 per hour.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $15 per hour
Standard Deviation, σ = $5.25 per hour
We are given that the distribution of tutoring prices is a bell shaped distribution that is a normal distribution.
Formula:
P( tutor charges between $10 and $20 per hour)

0.659 is the probability that a tutor charges between $10 and $20 per hour.
Answer:
The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).
Step-by-step explanation:
Intern No. of Breast
Number Exams Performed X²
1 30 900
2 40 1600
3 8 64
4 20 400
5 26 676
6 35 1225
7 35 1225
8 20 400
9 25 625
<u>10 20 400 </u>
<u> </u><u> ∑ 259 ∑ 7515</u>
Mean= X`= ∑x/n= 259/10= 25.9
Variance = s²= 1/n-1[∑X²- (∑x)²/n]
= 1/0[7515- (259)²/10]= 1/9[7515- 6708.1]
= 806.9/9=89.655= 89.66
Standard Deviation= √89.655= 9.4687
Hence
The value of t with significance level alpha= 0.05 and 9 degrees of freedom is t(0.025,9)= 2.262
The 95 % Confidence interval is given by
x`±t(∝,n-1) s/√n
So Putting the values
25.9± 2.262( 9.4687/√10)
= 25.9 ±2.262 (2.9943)
= 25.9 ± 6.7730
= 25.9 +6.7730=32.6730
25.9 -6.7730= 19.1269
= 19.1269, 32.6730
The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).
Answer:
C) Both statements could be correct. RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.
Step-by-step explanation:
When naming congruent shapes, the <u>orders of the congruent vertex letters need to be the same</u>.
Since these are isosceles triangles, the base angles are the same:
m∠R = m∠T = m∠A = m∠C
Therefore the congruency statement can be written two different ways.
ΔABC ≅ ΔRST
ΔABC ≅ ΔTSR
Both statements could be correct.
Choosing between B) and C):
To move ΔABC to where ΔRST or ΔTSR is, you could either:
i) Translate 6 units to the left, and translate 3 units down
ii) Reflect across the y-axis, and translate 3 units down
It can be the result of two translations or a reflection and a translation.
In the result, the base side RT is on the bottom of the shape, like side AC. If you rotated the shape, the base side would not be on the bottom. Therefore B) is incorrect.
The correct answer for the question that is being presented above is this one: "D.)11.24 m2."
First, we need to know the conversion between feet to meters.
1 meter = 3.28 feet
1 meter^2 = 10.7584 ft^2
Given the value of 121 ft^2,
= 121 ft^2 * (1 m^2 / 10.7584 ft^2)
= 11.2470 m^2