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Nikolay [14]
3 years ago
12

Please answer and show Work

Mathematics
2 answers:
Misha Larkins [42]3 years ago
8 0

Answers with explanation are attached

Thankyou!

Wewaii [24]3 years ago
4 0
<h3>1.1</h3>

1.

  • 7/20 = 0.35

2.

  • 1.(27) = (127 - 1)/(100 - 1) = 126/99 = 14/11

3.

  • 1 7/8 = 1.875

4.

  • x² = 81 ⇒ x = √81 = ± 9

5.

  • x³ = 343 ⇒ x = ∛343 = 7

6.

  • x² = 1/100 ⇒ x = √1/100 = ± 1/10 = ± 0.1

7.

  • x² = 200 ⇒ x = √200 = 10√2 ≈ 14.14 ft
<h3>1.2</h3>

8.

  • 121/√121 = √121 = ± 11  ⇒ Integer, Rational number, Real number

9.

  • π/2 ⇒ irrational number, Real number

10.

  • 'All integers are rational numbers' ⇒ TRUE as each can be shown as p/q
<h3>1.3</h3>

11.

  • √8 + 3 < √9 + 3 = 3 + 3 = 6 ( < ) 8 + √3

12.

  • √5 + 11 > √4 + 11 = 2 + 11 = 13 ( > ) 5 + √11 < 5 + √16 = 5 + 4 = 9

13.

  • √99  ≈ 9.94, π² ≈ 9.869 , 9.(8) ≈ 9.888
  • π² < 9.(8) < √99

14.

  • √1/25 = 1/5 = 0.2, 1/4 = 0.25. 0.(2) = 0.222
  • √1/25 < 0.(2) < 1/4
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If cos theta =12/13.find 1+cot theta
hammer [34]

Answer:

17/5

Step-by-step explanation:

If cosθ = 12/13, find (1+cotθ)

As shown in the diagram attached,

Cotθ = 1/tanθ = adjacent/opposite

From the diagram attached,

cotθ = 12/a................... Equation 1

But we can find the value of a by using  pythagoras theorem

13² = 12²+a²

169 = 144+a²

a² = 169-144

a² = 25

a = √25

a = 5.

Substitute the value of a into equation 1

Therefore,

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3 years ago
In Professor Friedman's economics course the correlation betweenthe students' total scores before the final examination and thei
GalinKa [24]

Answer:

Q1

slope=0.16

intercept=30.2

Q2

78.2

Q3

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Step-by-step explanation:

Question 1

We are given that

xbar=280

sx=30

ybar=75

sy=8

r=0.6

The regression line can be written as

y=a+bx

a=intercept

b=slope

where

b=r\frac{sy}{sx}

and

a=ybar-bxbar

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b=0.16

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a=30.2

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intercept=30.2

Question 2

The regression line in the given scenario

y=30.2+0.16x

Julie pre exam total before the exam was 300.

y=30.2+0.16*300

y=30.2+48=78.2

So, the predicted final exam score of Julie is 78.2.

Question 3

R² denotes the variation in dependent variable y explained by the linear relationship of x and y.

R²=0.6²=0.36

Thus, the proportion of the variation in final exam scores that is explained by the linear relationship between pre-exam scores and final exam scores is 36%.

5 0
4 years ago
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