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3 years ago

You roll a fair 6-sided die. What is P(roll less than 3)? If necessary, round your answer to two decimal places.

Mathematics

1 answer:

bulgar [2K]3 years ago

6 0

Answer:

0.33

Step-by-step explanation:

P(<3) = 2/6 = 1/3 because there are only 2 numbers less than 3.

= 0.33

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A researcher wishes to estimate, with 9090% confidence, the proportion of adults who have high-speed Internet access. Her es

Sunny_sXe [5.5K]

Answer: a) Required minimum sample size= 219

b) Required minimum sample size= 271

Step-by-step explanation:

As per given , we have

Margin of error : E= 5% =0.05

Critical z-value for 90% confidence interval : $z_{\alpha/2}=1.645$

a) Prior estimate of true proportion: p=28%=0.28

Formula to find the sample size :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.28(1-0.28)(\dfrac{1.645}{0.05})^2\\\\=218.213856\approx219$

Required minimum sample size= 219

b) If no estimate of true proportion is given , then we assume p= 0.5

Formula to find the sample size :-

$n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.645}{0.05})^2\\\\=270.6025\approx271$

Required minimum sample size= 271

8 0

2 years ago

What is the slope-intercept form of this equation?

kirill [66]

Answer:

y = -8x + 12

Step-by-step explanation:

Slope intercept form: y = mx + b

m ---> Slope & b ----> y-intercept

8x + y = 12

Subtract 8x from both sides

y = -8x + 12

5 0

3 years ago

A rectangular dog park was built with the dimensions shown. The fencing that completely surrounds the park cost $12 a yard. Each

leonid [27]

Answer:

sod- 1662.6

fencing- 807.6

all- 2470.2

Step-by-step explanation:

sod-

25.5 * 8.25 = 207.825

207.825*8= 1662.6

fencing-

8.25+8.25+25.5+25.5= 67.3

67.3*12= 807.6

fencing + sod

1662.6 + 807.6= 2470.2

7 0

2 years ago

Draw a 6 × 6 grid. Colour 1

attashe74 [19]

Answer:

Step-by-step explanation:

there are 36 squares

red takes 1 of 4 so red has 9

blue takes 1 of 3 so blue has 12

5 of 12 of the grid is yellow

3 0

3 years ago

Help me solve this pleaseee

Drupady [299]

Since they are equal to 90 degrees. (complimentary angles)

6x-11+7x+10= 90

Combine like terms.

13x-1= 90

Add one to both sides.

13x= 91

x= 7

Plug that into the b.

7(7)+10

49+10

59

I hope this helps!
~kaikers

3 0

3 years ago