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3 years ago

A carpenter ordered 6/8 ton of lumber and used 2/3 of it to build a fence. What part of s ton did the carpenter use?

Mathematics

1 answer:

Sergio039 [100]3 years ago

3 0

2/3 of 6/8 (or 3/4;)) is 1/2 of 0.5

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A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the followin

maks197457 [2]

Answer:

(a) $\sum x_i=56.68$ and $\sum x_i^2=197.46$

(b) The sample variance is $s^2=0.530$ and the sample standard deviation is $s=0.728$

Step-by-step explanation:

(a)

The sum of these 17 sample observations is

$\sum x_i=2.79\:+2.57+\:2.73\:+3.75\:+2.27+\:2.75+\:4.00+\:4.22+\:3.88+\:4.35+\:3.41+\:4.57+\:2.38+\:3.73\:+2.75+\:3.47+\:3.06\\\\\sum x_i=56.68$

and the sum of their squares is

$\sum x_i^2=2.79^2\:+2.57^2+\:2.73^2\:+3.75^2\:+2.27^2+\:2.75^2+\:4.00^2+\:4.22^2+\:3.88^2+\:4.35^2+\:3.41^2+\:4.57^2+\:2.38^2+\:3.73^2\:+2.75^2+\:3.47^2+\:3.06^2\\\\\sum x_i^2=197.46$

(b)

The sample variance, denoted by $s^2$ , is given by

$s^2=\frac{S_{xx}}{n-1}$

where $S_{xx} =\sum x_i^2-\frac{(\sum x_i)^2}{n}$

Applying the above formula we get that

$S_{xx}=197.46-\frac{(56.68)^2}{17}\\\\S_{xx} =8.482$

$s^2=\frac{8.482}{17-1}=0.530$

The sample standard deviation, denoted by <em>s</em>, is the (positive) square root of the variance:

$s=\sqrt{s^2}$

Applying the above formula we get that

$s=\sqrt{0.530}=0.728$

3 0

3 years ago

Bronte walks 1.5 miles on a trail. Then he jogs at a speed of 5 miles per hour. Bronte's total distance walking and jogging is 5

swat32

Answer:

Step-by-step explanation:

5.25-1.5 = 3.75

so 3.75 hour

Hope this helps plz hit the crown :D

3 0

3 years ago

Read 2 more answers

Kelly drew a circle with a diameter of 8cm Paige drew a circle with a radius of 3cm approximately how much larger is the area of

nlexa [21]

Answer:

15.7

Step-by-step explanation:

d = 2r

d = 8 thus r = 4

area (kelly) = 4 x4 x $\pi$ = 16 $\pi$

area (paige) = 3 x 3 x $\pi$ = 9 $\pi$

difference = 16 $\pi$ - 9 $\pi$ = 5 $\pi$ = 15.7

8 0

3 years ago

Harper wants to exchange £350 for dollars, how many more dollars would she get in the bank than in the post office

musickatia [10]

Answer: $24.50

Post office:£1 = $1.27

£350 = $1.27 × 350 = $444.50

Bank:£1 = $1.34

£350 = $1.34 × 350 = $469

Therefore, the difference will be:

= $469 - $444.50

= $24.50

8 0

3 years ago

zack bought a coat for $69.78. He paid with a $100 bill and received $26.73 in change. How much was the sales tax?

natita [175]

That much % and in value it is 3.49$

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3 years ago