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andrew11 [14]
3 years ago
12

Define a random variable x = number of cups of coffee consumed on an average day. Let x = 4 represent four or more cups. Round y

our answers to four decimal places.
Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0

Answer:

<em>E (X) = 6.4</em>

Step-by-step explanation:

SOLUTION:

A random variable x = number of cups of coffee consumed on an average day.

∴Let x = 4 represent four or more cups. Round your answers to four decimal places.

X          Probability (X)

0             0.1  

1              0.15

2             0.3

3             0.75

4             0. 25

5             0.21

∴ E (X) = Ux(Mean)

0x.0.1 + 1 x.15 + 2 x 0.3 + 3 x 0.75 + 4 x 0.25 + 5 x 0.21 =  <em>6.4</em>

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A class has a ratio of boys to girls 3:4.
Nat2105 [25]

Answer:

a)F

b)A

c)F

d)F

Step-by-step explanation:

a)3+4=7 which is the total number of pupils in class

So, the fraction should be 3/7✅not 3/4❌

b) The girls in the class are 4 and the total number of pupils in class are 7. So, the fraction is correct✅.

c) The number of boys in class is 3✅ which is given in the ratio. Not 6❌

d) If you add the both numbers in the ratio, you will get the total number of pupils which is 7✅not 12❌

Hope this will help ya!

4 0
3 years ago
Read 2 more answers
The diameter of a circle has endpoints P(–10,–2) and Q(4,6).
Luba_88 [7]
The answer is c. forgive me if i am wrong

7 0
3 years ago
Assume that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles
OverLord2011 [107]

Answer:

Final answer is approx 6.644 years.

Step-by-step explanation:

Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.

So we can use growth formula:

A=P\left(1+r\right)^t

Then we get equation for motorcycles and cars as:

A=5.75\left(1+0.16\right)^t

A=3.5\left(1+0.25\right)^t

Now we need to find about when the sale of cars will be more than the sale of motorcycles. So we get:

3.5\left(1+0.25\right)^t>5.75\left(1+0.16\right)^t

3.5\left(1.25\right)^t>5.75\left(1.16\right)^t

3.5\left(1.25\right)^t>5.75\left(1.16\right)^t

\frac{\left(1.25\right)^t}{\left(1.16\right)^t}>\frac{5.75}{3.5}

\left(\frac{1.25}{1.16}\right)^t>1.64285714286

t\cdot\ln\left(\frac{1.25}{1.16}\right)>\ln\left(1.64285714286\right)

t>\frac{\ln\left(1.64285714286\right)}{\ln\left(\frac{1.25}{1.16}\right)}

t>6.6436473051

Hence final answer is approx 6.644 years.

7 0
3 years ago
True or false all rectangles are quadrilaterals
Leni [432]

answer - true

all rectangles have four sides, and a shape is a quadrilateral if it has four sides

therefore, all rectangles are quadrilaterals

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Given the point and slope write the equation of the line 9,-4; slope -2/3
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Y=-2/3x-4
Linear equation formula: y=mx+b
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