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2 years ago

ABCD=STQR. What is the measurement of CD?

Mathematics

2 answers:

vaieri [72.5K]2 years ago

7 0

Answer:

CD= 21 in

Step-by-step explanation:

CD is the same length as QR

QR= 21

USPshnik [31]2 years ago

6 0

Step-by-step explanation:

$\because \: ABCD=STQR...(Given) \\ \\ \therefore \: CD = QR \\ \\ \because \: QR = 21 \: in \\ \\ \huge \red{ \boxed{\therefore \: CD =21 \: in }}$

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The variance of any standard normal distribution is________.<br> a) 0.5.b) -0.5.c) 0.d) 1.

goblinko [34]

Answer:

d) 1

Step-by-step explanation:

The variance of standard normal distribution is simply put as 1.

If you take it a bit further, even though not asked, the mean of a standard normal distribution is 0.

Therefore, the conclusion is that, the variance of a standard normal distribution is 1, while the mean of the same standard normal distribution is 0

3 0

2 years ago

Suppose we want to divide the 10 dogs into three groups, one with 3 dogs, one with 5 dogs, and one with 2 dogs. how many ways ca

garri49 [273]

Answer:

420 ways

Step-by-step explanation:

According to the given statement:

We want to divide the 10 dogs into three groups, one with 3 dogs, one with 5 dogs, and one with 2 dogs. How many ways can we form the groups such that fluffy is in the 3-dog group and nipper is in the 5-dog group.

In this way we have 8 dogs left.

2 spaces left in 3 dogs group

4 spaces left in 5 dogs group

and 2 spaces in 2 dogs group

Therefore:

= 8!/2!4!2!

= 8*7*6*5*4*3*2*1/2*4*3*2*2

= 8*7*6*5/2*2

= 1680/4

=420

It means there are 420 ways to from the groups....

6 0

2 years ago

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What are 3 equivalent fractions for 6

Hitman42 [59]

6 as a fraction is 6/1
12/2
18/3
24/4

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2 years ago

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Find the new concentration of a solution if 25. 0 mL of water is added to 125. 0 mL of 0. 150 M NaCl solution. What is the final

Lyrx [107]

Part A: The final volume of the new solution is 150 mL.

Part B: The concentration of the new solution is 0.125 M.

<h3>What is the volume?</h3>

The volume of liquid is defined as the amount of liquid in a three-dimensional container. Volume is the quantity of three-dimensional space occupied by a liquid.

Given that the molarity of NaCl solution is 0.150 M, the volume of NaCl solution is 125 mL, the volume of water added is 25 mL.

Part A:

The final volume of the new concentrated solution is calculated as given below.

$V = 125 + 25$

$V = 150 \;\rm mL$

The final volume of the new solution is 150 mL.

Part B:

The mole of the NaCl solution is calculated using the molarity formula.

Molarity of NaCl solution = 0.150 M

Volume of NaCl solution = 125mL or 0.125 L

Molarity = Mole of NaCl solution / Volume of the NaCl solution

$0.150 = \dfrac {Moles}{Volume}$

$0,150 = \dfrac {Moles}{0.125}$

$Moles \;= 0.01875$

The moles of NaCl solution is 0.01875 mole which remains same when water is added. Thus, the molarity of the new concentration can be calculated as given below.

Molarity = Moles of NaCl / Volume of new solution

Molarity = $\dfrac {0.01875}{0.150}$