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ivanzaharov [21]
3 years ago
15

Each figure shows a triangle with one of its angle bisectors. 12) 22 - 38°. Find mZTRS.

Mathematics
1 answer:
jarptica [38.1K]3 years ago
3 0

Answer:

76 degrees

Step-by-step explanation:

this special line is an angle bisected.

that means it splits the angle at its starting point in 2 halves. as these names indicate, both parts are of equal size (half of the general angle).

we know one part (2) of this split angle : 38 degrees.

the other part (1) had to be equally sized : 38 degrees.

so, the total angle at point R is the sum of both split angles:

TRS = 38+38 = 76 degrees.

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A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute
Katyanochek1 [597]

Answer:

Step-by-step explanation:

Given that:

sample size n = 36

standard deviation = 10.1

level of significance ∝ = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

H_0 : \sigma = 10

H_1 : \sigma \neq 10

The test statistics can be computed as follows:

X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}

X^2 = \dfrac{(36 -1)10.1^2 }{10^2}

X^2 = \dfrac{(35)102.01 }{100}

X^2 = \dfrac{3570.35 }{100}

X^2 =35.704

degree of freedom = n - 1 = 36 - 1 = 35

Since this test is two tailed .

The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)

P - value = 2 × 0.435163515

P - value = 0.8703      ( to four decimal places)

Decision Rule : To reject the null hypothesis if  P - value is less than the 0.10

Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.

3 0
3 years ago
Why did President Reagan order the CIA to recruit the Contras?
gizmo_the_mogwai [7]

Answer:

It's C

Step-by-step explanation:

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7 0
2 years ago
At the end of the season, Erica's basketball team has a win-to-loss ratio of 3:2
Leya [2.2K]

Answer:

A: 3:5

B: Yes because 3 plus two is five

8 0
3 years ago
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Find the value of x. Round to the nearest tenth
aivan3 [116]
Cos (x) = adj/hyp

cos (x) = 13/25

x = cos⁻¹(13/25)

x= 58.7° (nearest tenth)
5 0
3 years ago
Bruce has a bottle that contains 60% lemon juice and the rest water. The bottle has 1 liter of water.
Cloud [144]

<span>part A:
Let 
t =  total the liquid in the bottle including lemon juice and water
so t =  lemon juice + water ( w = water, l = lemon juice) so t = l + w
but the bottle has 1 liter of water. and <span>60% lemon juice
</span>contains 60% lemon juice = 0.6, so l = 0.6t and w(water ) = 1 liter
t = l + w
substitute l = 0.6t and w = 1 into t = l + w
now you have equation
t = 0.6t + 1

part B:
from part A, you have equation t = 0.6t +1
solve for t
 t = 0.6t +1
subtract 0.6t on both sides
t - 0.6t = 0.6t - 0.6t + 1
simplify
0.4t = 1
divide both sides by 0.4
0.4t/0.4 = 1/ 0.4
simplify
t = 2.5

2.5 liters is total including lemon juice and water
2.5 - 1(1 liter of water) = 1.5 <span>1 liter of lemon juice</span></span>
8 0
3 years ago
Read 2 more answers
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