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svlad2 [7]
3 years ago
8

What is the weight ( in grams) of a liquid that exactly fills a 163.5 millimeter container if the density of the liquid is 0.492

grams/millimeter?
Mathematics
1 answer:
Ksju [112]3 years ago
7 0
Comment
The formula for density is \text{density} = \frac{m}{V}

Givens
V = 163.5 mL
d = 0.492 grams / mL

Solution
m = d * V                   The formula has been rearranged.
m = 0.492 * 163.5
m = 80.442 grams. <<<<< Answer
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Given -3x + 2y = 1 and x = 5, solve for y.<br><br> a.-7<br><br> b.7<br><br> c.-8<br><br> d.8
eduard

Answer:

d. 8

Step-by-step explanation:

Given: -3x + 2y = 1 and x = 5

Now plug x =5 in the given equation and find the value of y.

-3(5) + 2y = 1

-15 + 2y = 1

2y = 1 + 15

2y = 16

Dividing both sides by 2, we get

y = 8

Thank you.


7 0
3 years ago
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3 years ago
The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United Sta
soldi70 [24.7K]

Answer:

a. P(x=0)=0.2967

b. P(x=1)=0.4444

c. P(x=2)=0.2219

d. P(x=3)=0.0369

Step-by-step explanation:

The variable X: "number of meals that exceed $50" can be modeled as a binomial random variable, with n=3 (the total number of meals) and p=0.333 (the probability that the chosen restaurant charges mor thena $50).

The probabilty p can be calculated dividing the amount of restaurants that are expected to charge more than $50 (5 restaurants)  by the total amount of restaurants from where we can pick (15 restaurants):

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Then, we can model the probability that k meals cost more than $50 as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{3}{k} 0.333^{k} 0.667^{3-k}\\\\\\

a. We have to calculate P(x=0)

P(x=0) = \dbinom{3}{0} p^{0}(1-p)^{3}=1*1*0.2967=0.2967\\\\\\

b. We have to calculate P(x=1)

P(x=1) = \dbinom{3}{1} p^{1}(1-p)^{2}=3*0.333*0.4449=0.4444\\\\\\

c. We have to calcualte P(x=2)

P(x=2) = \dbinom{3}{2} p^{2}(1-p)^{1}=3*0.1109*0.667=0.2219\\\\\\

d. We have to calculate P(x=3)

P(x=3) = \dbinom{3}{3} p^{3}(1-p)^{0}=1*0.0369*1=0.0369\\\\\\

6 0
3 years ago
Part 1.] Determine the equation of the inverse of <img src="https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B4%7D%20x%5E%7B3%7D%2
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5 0
3 years ago
Pls help me I will make you as brain plsss
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Answer:

D I assume, the picture is quite blurry so my apologies.

Step-by-step explanation:

6 0
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