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1 year ago

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Mrs. Gray bought 6 pairs of socks for $14.70. She later bought 5 pairs of the same socks for $12.25. Is the relationship proport

ional? If so, what is the constant of proportionality?

1 answer:

devlian [24]1 year ago

3 0

Answer:

yes !

Step-by-step explanation:

$14.70/6 = $2.45

$2.45 x 5 = $12.25

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I need the answer to all of these with work shown. Thanks!!

professor190 [17]

This is for question 3a.

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3 years ago

Please divide using long division.<br> (x3 - 7x2 + 14)/(X - 5)

MAVERICK [17]

X^3 - 2x - 10 - 36/x-5

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2 years ago

Boxes of raisins are labled as containing 22 ounces. Following are the weights, in the ounces, of a sample of 12 boxes. It is re

kati45 [8]

Answer:

The 99 % confidence interval on the basis of mean is ( 21.7393 ; 22.0257)

Step-by-step explanation:

Mean = Sum of observations / Number of observations

Mean = 21.88 +21.76 +22.14 +21.63+ 21.81 +22.12+ 21.97+ 21.57+ 21.75+ 21.96 +22.20 +21.80/ 12

Mean =x`= 262.59/12= 21.8825

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

∑x²/n= 478.7344 +473.4976 + 490.1796+467.8569+ 475.6761 + 489.2944+ 482.6809+ 465.2649+ 473.0625+ 482.2416 +492.84 + 475.24/ 12

∑x²/n= 5746.5689/12= 478.8807 = 478.881

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

s= 478.881- (21.8825)²= 478.881-478.843= 0.037

The confidence limit 99% for the mean will be determined by

x` ± α(100-1) √s/n

Putting the values in the above equation

= 21.8825 ± 2.58 √0.037/12

Solving the square root

= 21.8825 ± 2.58 (0.05549)

Multiplying the square root with 2.58

=21.8825 ± 0.1432

Adding and subtracting would give

21.7393 ; 22.0257,

Hence the 99 % confidence interval on the basis of mean is ( 21.7393 ; 22.0257)

5 0

3 years ago

the ratio of the number of galleons to the number of galleys in the Spanish armada was 5:1 what missing information could be use

Ahat [919]

Either the amount of galleons or the galleys.

if given the amount of galleons, you can find the amount of galleys by dividing the number of given galleons by 5.

if given the amount of galleys, you can find the amount of galleons by multiplying the number of given galleys by 5.

7 0

2 years ago

Read 2 more answers

A person wants to create a vegetable garden and keeps the rabbits out by enclosing it with 100 feet of fencing. The area of the

alekssr [168]

Answer:

The garden can not have area of 700ft^2

Step-by-step explanation:

We are given equation for area as

$A(w)=w\times (50-w)$

where

w is the width (in feet) of the garden

now, we are given area =700 ft^2

so, we can set area =700

and then we can solve for w

$w\times (50-w)=700$

$50w-w^2=700$

$-w^2+50w-700=0$

now, we can use quadratic formula

$ax^2+bx+c=0$

$w=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

we can compare and find a,b, and c

a=-1 , b=50 , c=-700

now, we can plug values

$w=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-700\right)}}{2\left(-1\right)}$

$w=25-5\sqrt{3}i,\:w=25+5\sqrt{3}i$

We can see that values of w is not real

so, w does not exists when area =700

so, The garden can not have area of 700ft^2

4 0

2 years ago