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Karolina [17]
2 years ago
14

Michael walked 36 feet west and 15 feet south. how far is he from his original starting point?

Mathematics
2 answers:
vekshin12 years ago
6 0

Answer:

51 ft away

Step-by-step explanation:

lbvjy [14]2 years ago
3 0

Answer:

51 feet away

Step-by-step explanation:

36 + 15 = 51

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For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
ollegr [7]

Answer: a. A point estimate for p is 0.597 .

b. The 95% confidence interval for p.

Lower limit = 0.48

Upper limit = 0.71

Step-by-step explanation:

Given : Sample size of professional actors : n= 67

Number of extroverts : x= 40

Let p represent the proportion of all actors who are extroverts.

a. The point estimate for p = sample proportion = \hat{p}=\dfrac{x}{n}

=\dfrac{40}{67}=0.597

b. Confidence interval for population proportion :

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Since the critical value for 95% confidence interval is 1.96 , so the 95% confidence interval for p would be

0.597\pm (1.96)\sqrt{\dfrac{0.597(1-0.597)}{67}}

0.597\pm (1.96)\sqrt{0.0036}

0.597\pm (1.96)(0.06)

0.597\pm 0.1176

(0.597-0.1176,\ 0.597+0.1176)\\\\=(0.4794,\ 0.7146)\\\\\approx(0.48,\ 0.71)

In the 95% confidence interval for p.

Lower limit = 0.48

Upper limit = 0.71

8 0
2 years ago
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Consider the conjecture that the sum of a rational number and an irrational number is ALWAYS irrational. To try to prove this co
miss Akunina [59]

Answer:

B) irrational. Since an irrational number cannot equal a rational number.  

The premise that c is rational is false

Step-by-step explanation:

The assumption that c is rational means that the difference c-a must be rational. That difference is b, so b=c-a would mean that b must be rational. But b is defined to be irrational. Since an irrational number cannot equal a rational number, a contradiction arises and the assumption that c is rational must be false. Therefore the sum (c) must be irrational. (B)

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2 years ago
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Help!
Leona [35]

Step-by-step explanation:

first minute = 24 wildebeest

by 20 min = (20 × 3) + 24 = 84 wildebeest

3 0
2 years ago
If the profits in your consulting business increase by 6​% one year and decrease by 3​% the following​ year, your profits are up
Naddika [18.5K]

Answer:

its 1.388 p

Step-by-step explanation:

i hope this helps

3 0
2 years ago
Yuson used her calculator to solve the equation 4/5x - 8 = 3. She entered the following on her screen and got an incorrect answe
Firlakuza [10]

Answer:

55/4

Explanation:

Let's solve your equation step-by-step.

4 /5x−8=3

Step 1: Add 8 to both sides.

4 /5x−8+8=3+8

4 /5 x = 11

Step 2: Multiply both sides by 5/4.

( 5 /4 )*( 4 /5 x)=( 5 /4 )*(11)

x=  55/4

Answer:

x=

55 /4

Hope that helps :)

 

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