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3 years ago

An unbiased sample is one in which every member of the group has an equal chance of being chosen. True or false

Mathematics

1 answer:

photoshop1234 [79]3 years ago

6 0

The answer is true.

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If 14 meters of ribbon cost $19, how much would 21 meters of ribbon cost?<br> NEED HELP ASAP

Paladinen [302]

Answer:

21 meters would cost $28.5

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2 years ago

Read 2 more answers

What is the mode of the data set 5,7,8,10,12,12

nekit [7.7K]

Answer:

The mode is twelve.

Step-by-step explanation:

The mode of a data set is the number that appears the most often. I've added an attachment so that you might be able to see some examples.

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2 years ago

Find all the integers,b, that make up the trinomial x2 + bx + 10 factorable.

KonstantinChe [14]

By the fundamental theorem of algebra, we can write

$x^2+bx+10=(x-r_1)(x-r_2)$

Expanding the right hand side, we get

$x^2+bx+10=x^2-(r_1+r_2)x+r_1r_2\implies\begin{cases}r_1+r_2=-b\\r_1r_2=10\end{cases}$

We want $b$ to be an integer, which means $r_1,r_2$ must also be integers. This means $r_1,r_2$ must be factors of 10. There are several possibilities:

$r_1=\pm10,r_2=\pm1\implies b=-(10+1)=-11\text{ or }b=-(-10-1)=11$

$r_1=\pm5,r_2=\pm2\implies b=-(5+2)=-7\text{ or }b=-(-5-2)=7$

So there are 4 possible values for $b$ : -11, -7, 7, and 11.

7 0

3 years ago

Factor completely, then place the answer in the proper location on the grid.

Tresset [83]

$\mathrm{Factor\:out\:common\:term\:}9 \ \textgreater \ 9\left(x^4-25y^8\right)$

$Factor \ \textgreater \ x^4-25y^8$

$\mathrm{Apply\:difference\:of\:squares\:rule:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)$
$x^2-5y^4=\left(x+\sqrt{5}y^2\right)\left(x-\sqrt{5}y^2\right)$

$x^2-5y^4 \ \textgreater \ \mathrm{Apply\:difference\:of\:squares\:rule:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)$
$x^2-5y^4=\left(x+\sqrt{5}y^2\right)\left(x-\sqrt{5}y^2\right)$

$\left(x^2+5y^4\right)\left(x+\sqrt{5}y^2\right)\left(x-\sqrt{5}y^2\right)$

$9\left(x^2+5y^4\right)\left(x+\sqrt{5}y^2\right)\left(x-\sqrt{5}y^2\right)$

Hope this helps!

8 0

2 years ago

Find the area of the shape.

-BARSIC- [3]

Answer:

12.56

Step-by-step explanation:

area of a circle is A=πr^2

radius is 2

a= 3.14 (2)^2

=3.14 x 4

=12.56

7 0

1 year ago