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DENIUS [597]
3 years ago
9

Simon flips 8 coins and lays them out in a straight line.

Mathematics
1 answer:
bixtya [17]3 years ago
8 0

Answer:

a) 256

b) 1/256

Step-by-step explanation:

_ _ _ _ _ _ _ _

every position has two possibilities (head or tail)

So,

2×2×2×2×2×2×2×2 = 2⁸ = 256

b) all tails is one of the 256 possible outcomes, so the probability is 1/256

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What is 3x=5 a positive solution, negetive solution, zero solution, or no solution
Margaret [11]
No solution because 3rimes something doesn't equal 5
3 0
3 years ago
If sec theta = - √30 / 3, find cos theta.<br> if sin(-theta) = -0.97, find cos (π/2 - theta).
Cloud [144]

Step-by-step explanation:

\cos \theta  =  \frac{1}{ \sec\theta }  =  -  \frac{3}{ \sqrt{30} }  =  -  \frac{3 \sqrt{30} }{30}   =  -  \frac{ \sqrt{30} }{10}

\cos( \frac{\pi}{2} -  \theta )=  \cos \frac{\pi}{2}  \cos \theta  +   \sin \frac{\pi}{2}  \sin \theta

Note that

\sin( - \theta) =  -  \sin \theta

\cos \frac{\pi}{2}  = 0 \:  \:  \:  \:  \:  \sin \frac{\pi}{2}  = 1

Therefore,

\cos( \frac{\pi}{2} -  \theta )  = 0.97

5 0
3 years ago
10 &lt; 0.25 ( x + 1 ) &lt; 11
AURORKA [14]
10 <0.25 (x + 1) <11
 
We must solve two inequalities in this case.
 Inequality 1:
 
10 <0.25 (x + 1)
 10 / 0.25 <x + 1
 40 <x + 1
 40-1 <x
 39 <x
 Inequality 2:
 
0.25 (x + 1) <11
 (x + 1) <11 / 0.25
 (x + 1) <44
 x <44-1
 x <43
 The final result is:
 39 <x <43
 Answer:
 
39 <x <43
6 0
4 years ago
Given the diagram below, which pair of lines
Olenka [21]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
The basketball coach at a small local college believes that his team plays better and scores more points in front of larger crow
Orlov [11]

Answer:

Step-by-step explanation:

Given that points scored is the dependent variable Y and Number of people attending the game is the independent variable is independent variable x

The correlation coefficient, slope and intercept are calculated as shown below:

x y

378 54

350 57

320 59

478 80

451 82

250 75

489 73

451 53

410 67

215 78

113 67

250 56

450 85

489 101

472 99

 

Mean 371.0666667 72.4

std dev 117.5138087 15.42632259

covariance 667.5733333  

r 0.394558035  

Slope 3.005642934  

Intercept 153.4581182  

y = 3.006x+153.46 is the regression line.

Corre = 0.3945 (weak positive)

8 0
3 years ago
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