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ziro4ka [17]
3 years ago
6

Without graphing, classify the following system as independent, dependent, or inconsistent. 4x-2y=14,y=2x-6

Mathematics
1 answer:
Helen [10]3 years ago
8 0

The first equation can be rewritten to

... y = 2x -7

This is inconsistent with the second equation

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Find the area of the circle. Round to the nearest whole number
GuDViN [60]

Hello!

\mathcal{GIVEN:}

  • Diameter of the circle = 12 cm

\mathcal{TO\:FIND:}

Area of the Circle

\mathcal{SOLUTION:}

A=πr²

Hey! We have the diameter, not the radius.

Don't panic. In order to find the radius, we should divide the diameter by 2.

So, the radius is 6.

Plug it into the formula:

A=π(6)²

A=π(36)

A≈113 cm

Hope it helps!

Good luck and enjoy your day!

-SnowFlake

8 0
3 years ago
A consumer group is interested in estimating the proportion of packages of ground beef sold at a particular store that have an a
storchak [24]

Answer:  267.

Step-by-step explanation:

When there is no prior information for the population proportion, then the formula we use to find the sample size to estimate the confidence interval :

n=0.25(\dfrac{z^*}{E})^2 , where z* = Critical z-value and E + amrgin of error.

Let p = proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label.

Since , we have no prior information about p. so we use above formula

with E = 0.06 and critical value for 95% confidence =z* =1.96  [By z-table ] , we get

n=0.25(\dfrac{1.96}{0.06})^2=0.25(32.6666)^2\\\\=(0.25)(1067.111111)\\\\=266.777777778\approx267

Hence, the required sample size is 267.

7 0
3 years ago
Show how to solve the problem 378×6 using place value with regrouping. Explain how you knew when to regroup
nekit [7.7K]
<span>1. 6 (378) = 2268 = (189 + 189)6


Properties are:
Addition, you can have 6 + 107 = 113 </span>
<span>Commutative Property by moving: 107 + 6 = 113 </span>
<span>Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113 </span>
<span>Distributive Property by allotting: 2 (3) + 107 = 113   </span>

<span>Multiplication, you can have 6 x 107 = 642 </span>
<span>Commutative Property by moving: 107 x 6 = 642 </span>
<span>Associative Property by grouping: (3 + 3) x (100 + 7 ) = 642 </span>
<span>Distributive Property by allotting: 2(3) x 107 = 642<span>
</span></span>
7 0
3 years ago
The length of a rectangle is 4 centimeters more than twice its width of the perimeter of the rectangle is 86centimeters find the
lana66690 [7]

Answer:

Width= 13 cm

length=30cm

Step-by-step explanation:

Let the length of the rectangle be 'L'

And the width of the rectangle be 'W'

Perimeter= 86 cm

According to the statement:

        Length= 2*Width+4\\L=2W+4

Perimeter of a rectangle= 2(Length+Width)

86=2(2W+4+W)\\86/2=3W+4\\43=3W+4\\3W=43-4\\3W=39\\W=39/3\\W=13 cm\\\\Length(L)=2W+4\\=2(13)+4=26+4=30 cm\\Length=30 cm

                               Width= 13 cm

                                length=30cm

6 0
3 years ago
What is the area of this shape?
stepan [7]

Answer:

10 I think

Step-by-step explanation:

well we add it all together 2+1+3+4

7 0
3 years ago
Read 2 more answers
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