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daser333 [38]
2 years ago
9

Find m∠PQR. A. 90 B. 77 C. 81 D. 72

Mathematics
1 answer:
Fofino [41]2 years ago
7 0

Answer:

D) 72°

Step-by-step explanation:

Tangent:

 

\sf \boxed{\angle PQR =\dfrac{Difference \ between \ major \ arc \ and \ minor \ arc }{2}}

       ∠PQR = 2x + 252 - (2x + 108)

      2x +72 = (2x + 252 - 2x - 108) ÷ 2

      2x + 72 = (2x - 2x + 252 - 108) ÷ 2  

     2x + 72 = 144 ÷ 2

      2x + 72 = 72

2x + 72-72 = 72 - 72

              2x = 0

             \sf \boxed{\bf x = 0}

m∠PQR = 2x + 72

             = 2*0 + 72

             = 72°

   

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Answer:

A) sample mean = $1.36 million

B) standard deviation = $0.9189 million

C) confidence interval = ($1.93 million , $0.79 million)

*since the sample size is very small, the confidence interval is not valid.

Step-by-step explanation:

samples:

  1. $2.7 million
  2. $2.4 million
  3. $2.2 million
  4. $2 million
  5. $1.5 million
  6. $1.5 million
  7. $0.5 million
  8. $0.5 million
  9. $0.2 million
  10. $0.1 million

sample mean = $1.36 million

the standard deviation:

  • $2.7 million - $1.36 million = 1.34² = 1.7956
  • $2.4 million - $1.36 million = 1.04² = 1.0816
  • $2.2 million - $1.36 million = 0.84² = 0.7056
  • $2 million - $1.36 million = 0.64² = 0.4096
  • $1.5 million - $1.36 million = 0.14² = 0.0196
  • $1.5 million - $1.36 million = 0.14² = 0.0196
  • $0.5 million - $1.36 million = -0.86² = 0.7396
  • $0.5 million - $1.36 million = -0.86² = 0.7396
  • $0.2 million - $1.36 million = -1.16² = 1.3456
  • $0.1 million - $1.36 million = -1.26² = 1.5876
  • total $8.444 million / 10 = $0.8444 million

standard deviation = √0.8444 = 0.9189

95% confidence interval = mean +/- 1.96 standard deviations/√n:

$1.36 million + [(1.96 x $0.9189 million)/√10] = $1.36 million + $0.57 million = $1.93 million

$1.36 million - $0.57 million = $0.79 million

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2 years ago
Suppose Brianna invests $1,300 each year for 5 years, in an annuity that pays 6% annual interest, compounded annually. What perc
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Answer:

74.73%

Step-by-step explanation:

First, we're gonna find out her total amount

We're gonna use the count interest formula: P = A(1 + r)ⁿ

P = final amount

A = starting amount (1300)

r = rate (0.06)

n = years (5)

P = 1300(1 + 0.06)⁵

P = 1739.693251

Now divide the starting amount by the total amount

1300 ÷ 1739.693251 = 0.7472582

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Eight kids can go to the waterpark for $60 how many students go for $195 explain how you know
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6 0
3 years ago
Correct answer gets 25 points! Help please!
JulsSmile [24]
Y = mx + c

If y = 4, and x = 0, then:

4 = -1 (0) + c

c = 4

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y = -1 (2) + 4

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If you plug in the different values of x in each equation, the answer should be:

2,0,-2

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Isaac downloaded 7 ringtones. Each polyphonic ringtone costs $3.25, and each standard ringtone costs $1.50. If he spends a total
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Answer:

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y ----> the number of standard ringtones

we know that

x+y=7

x=7-y -----> equation A

3.25x+1.50y=21 -----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B and solve for y

3.25(7-y)+1.50y=21

22.75-3.25y+1.50y=21

3.25y-1.50y=22.75-21

1.75y=1.75

y=1\ standard\ ringtones

Find the value of x

x=7-1=6\ polyphonic\ ringtones

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