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Whitepunk [10]
3 years ago
7

Why is x =6 A solution to the proportion 192/36 = 32/×

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Because if you substitute 6 into the equation for x and cross multiply, you get 1,152 = 1,152

Georgia [21]3 years ago
4 0

\dfrac{32}{x}=\dfrac{192}{36}\qquad\text{cross multiply}\\\\192x=(32)(36)\qquad\text{divide both sides by 192}\\\\x=\dfrac{1152}{192}\\\\\boxed{x=6}

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bacteria colonies can triple in size every 4 days. If you start with 150 bacteria microorganisms, how large with the colony be a
-Dominant- [34]
It triples in size every 4 days.  In 16 days it will be 3 * 3 * 3 * 3 times bigger.

3 * 3 * 3 * 3 = 81
Therefore, after 16 days, the colony will contain (81 * 150) or 12,150 microorganisms.


6 0
3 years ago
A bank charges a fee if your account balance falls below $50. Let b represent the account balance. Write an inequality to descri
Paraphin [41]

Answer:

b < 50. The solution has infinite solutions because any number smaller than 50 would work, and their are infinite numbers smaller than 50.

Step-by-step explanation:

3 0
3 years ago
A different map has a scale of 1:50000
Deffense [45]

Answer:

8 Km

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I hope this helps, if not sorry

6 0
3 years ago
An article in Knee Surgery, Sports Traumatology, Arthroscopy, "Arthroscopic meniscal repair with an absorbable screw: results an
igomit [66]

Answer:

Mean = 1.57

Variance=0.31

Step-by-step explanation:

To calculate the mean and the variance of the number of successful surgeries (X), we first have to enumerate the possible outcomes:

1) Both surgeries are successful (X=2).

P(e_1)=0.90*0.67=0.603

2) Left knee unsuccessful and right knee successful (X=1).

P(e_2)=(1-0.9)*0.67=0.1*0.67=0.067

3) Right knee unsuccessful and left knee successful (X=1).

P(e_3)=0.90*(1-0.67)=0.9*0.33=0.297

4) Both surgeries are unsuccessful (X=0).

P(e_4)=(1-0.90)*(1-0.67)=0.1*0.33=0.033

Then, the mean can be calculated as the expected value:

M=\sum p_iX_i=0.603*2+0.067*1+0.297*1+0.033*0\\\\M=1.206+0.067+0.297+0\\\\M=1.57

The variance can be calculated as:

V=\sum p_i(X_i-\bar{X})^2\\\\V=0.603(2-1.57)^2+(0.067+0.297)*(1-1.57)^2+0.033*(0-1.57)^2\\\\V=0.603*0.1849+0.364*0.3249+0.033*2.4649\\\\V=0.1115+0.1183+0.0813\\\\V=0.3111

3 0
3 years ago
When debby's 3ds is fully charged it last for 8 hours. if she only charged it 3/5 full how long did it last her?
Luba_88 [7]
8*3/5=4.8 hours

Hope that helps

7 0
3 years ago
Read 2 more answers
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