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quester [9]
3 years ago
11

Use the information in the display to construct a 95% confidence interval for P

Mathematics
1 answer:
Sholpan [36]3 years ago
3 0
The answer would be 7569
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A speed walker covered 4 1/2 mi in 3/4 hour. How far will he walk with the same pace in 3.5 hours?
alisha [4.7K]

Distance = Speed × Time

Distance = (4.5 mi)/(0.75 h) × (3.5 h) = 21 mi

The walker will cover 21 miles in 3.5 hours at that pace.

6 0
3 years ago
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What is 1-2sin^2x=sinx <br> Please show steps and find all solutions in interval [0,2pi)
Svetlanka [38]

Answer:

\large\boxed{x=\dfrac{3\pi}{2}\ \vee\ x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}}

Step-by-step explanation:

1-2\sin^2x=\sin x\\\\\text{substitute}\ t=\sin x,\ t\in[-1,\ 1]\\\\1-2t^2=t\qquad\text{subtract t from both sides}\\\\-2t^2-t+1=0\qquad\text{change the signs}\\\\2t^2+t-1=0\\\\2t^2+2t-t-1=0\\\\2t(t+1)-1(t+1)=0\\\\(t+1)(2t-1)=0\iff t+1=0\ \vee\ 2t-1=0\\\\t+1=0\qquad\text{subtract 1 from both sides}\\\boxed{t=-1}\\\\2t-1=0\qquad\text{add 1 to both sides}\\2t=1\qquad\text{divide both sides by 2}\\\boxed{t=\dfrac{1}{2}}

\sin x=-1\to x=-\dfrac{\pi}{2}+2k\pi,\ k\in\mathbb{Z}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}\\\\x\in[0,\ 2\pi)

x=-\dfrac{\pi}{2}\notin[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+2\pi=\dfrac{3\pi}{2}\in[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+4\pi=\dfrac{7\pi}{2}\notin[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}+2\pi=\dfrac{13\pi}{6}\notin[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}+2\pi=\dfrac{17\pi}{6}\notin[0,\ 2\pi)

4 0
3 years ago
A school district is planning on buying new desks for its classrooms. Each secondary classroom is to have 5 more desks than an e
bearhunter [10]

Answer: 27

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A) solve x + x + x = 54 <br>b) solve y/5 = 7<br>c) solve 4t+6=24​
egoroff_w [7]

Answer:

a) x = 18

b) y = 35

c) t = 4.5

Step-by-step explanation:

a) x + x + x = 54

3x = 54

x = 54 ÷ 3

x = 18

b) y/5 = 7

(y/5) × 5 = 7 × 5

y = 35

c) 4t + 6 = 24

4t +6 - 6 = 24 -6

4t = 18

4t ÷ 4 = 18 ÷ 4

t = 4.5

6 0
3 years ago
Three screenshots, answer em all pls
Shtirlitz [24]
I just did the second one, the one that looks this a side ways L,
here are the points
(4,4). (5,4). (3,1). (3,2). (4,2). hope this helped
6 0
2 years ago
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