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2 years ago

Find the distance between (5 , 1 ) and ( 3 ,6)

Mathematics

1 answer:

crimeas [40]2 years ago

5 0

Answer:

Step-by-step explanation:

$\sqrt{(6-1)^{2}+(3-5)^{2} }$ = $\sqrt{29}$

=5.39(correct to nearest hundredth)

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How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 95% confidence that

zimovet [89]

Answer:

61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

Step-by-step explanation:

Given : We want 95% confidence that the sample mean is within 3 minutes of the population mean, and the population standard deviation is known to be 12 minutes.

To find : How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?

Solution :

At 95% confidence the z-value is z=1.96

The sample mean is within 3 minutes of the population mean i.e. margin of error is E=3 minutes

The population standard deviation is s=12 minutes

n is the number of sample

The formula of margin of error is given by,

$E=\frac{s\times z}{\sqrt{n}}$

Substitute the value in the formula,

$3=\frac{12\times 1.96}{\sqrt{n}}$

$3=\frac{23.52}{\sqrt{n}}$

$\sqrt{n}=\frac{23.52}{3}$

$\sqrt{n}=7.84$

Squaring both side,

$n=61.4656$

Therefore, 61 commuters must be randomly selected to estimate the mean driving time of Chicago commuters.

6 0

2 years ago

Read 2 more answers

Whats the value of yif y=cos(arcsin1/2)

Setler [38]

arcsin(1/2) means "the angle whose sine is 1/2".

That's 30° .

y = cos(30°) = (1/2)√3 = about 0.866 .

3 0

3 years ago

Circumference and Area of Circles

yanalaym [24]

Step-by-step explanation:

Area of a circle = #r^2

1256 = 3.14 × r^2

r^2 = 1256/3.14

r^2 = 400

Square root of r = 20

Diameter = 2 × r = 2 × 20 = 40 inches

8 0

3 years ago

How to simplify this

Afina-wow [57]

Hello,

the answer will be the last one
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hope this help

4 0

3 years ago

Yoshiko collected some bottle sto be recycled. Twelve were brown. There were 50 more clear bottles than brown ones. There were 3

snow_lady [41]

So we know there are 12 brown ones
brown=12
50 more than 12 is the number of clear bottles so 50+12=62

brown=12
clear=62

30 numbers down from 62 is the number of green ones so 62-30=32

brown=12
clear=62
green=32

12+62+32=106

so Yoshiko collected 106 bottles

3 0

3 years ago