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USPshnik [31]
3 years ago
8

Find the area of the shaded region.

Mathematics
1 answer:
yaroslaw [1]3 years ago
4 0
It’s ether 138.6 or 101.4. 123 rounded to the nearest tenth is 120 so you ether add or subtract
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The time college students spend on the internet follows a Normal distribution. At Johnson University, the mean time is 5 hrs wit
netineya [11]

Answer:

The probability that the average time 100 random students on campus will spend more than 5 hours on the internet is 0.5

Step-by-step explanation:

We are given that . At Johnson University, the mean time is 5 hrs with a standard deviation of 1.2 hrs.

Mean = \mu = 5 hours

Standard deviation = \sigma = 1.2 hours

We are supposed to find the probability that the average time 100 random students on campus will spend more than 5 hours on the internet i.e. P(X>5)

Z=\frac{x-\mu}{\sigma}

Z=\frac{5-5}{1.2}

Z=0

P(X>5)=1-P(X<5)=1-P(Z<0)=1-0.5=0.5

Hence the probability that the average time 100 random students on campus will spend more than 5 hours on the internet is 0.5

7 0
3 years ago
What is the standard form of 5x^2+5y^2-10x+20y-30=0
o-na [289]

5x^2+5y^2-10x+20y-30=0

We need to get the equation in square form

We apply completing the square method

5x^2-10x+5y^2+20y-30=0

Divide all the terms by 5

x^2-2x+y^2+4y-6=0

Group x  terms and y terms separately  

(x^2-2x)+(y^2+4y)-6=0

By completing the square method, we take half of coefficient of x  and square it

\frac{-2}{2} = -1

square it (-1)^2= 1

Add 1 on both sides

(x^2-2x+1)+(y^2+4y)-6=+1

\frac{4}{2} = 2

square it (2)^2= 4

Add 4 on both sides

(x^2-2x+1)+(y^2+4y+4)-6=0+1+4

Add 6 on both sides

(x^2-2x+1)+(y^2+4y+4)=6+1+4

Now factor both parenthesis

(x-1)^2+(y+2)^2=11

The equation of the circle is (x-1)^2+(y+2)^2=11

7 0
4 years ago
Solve for g. Make sure to show your work
sergeinik [125]
C 64 I hope I help you out

3 0
3 years ago
Does anyone know this?
GaryK [48]
How much detail for the answer
7 0
3 years ago
Given the function f(x)=8+2x2, calculate the following values:
Alona [7]
Simply each equation is manipulated by the x in the way that the function is telling you to

x = a
f (a) = 8 + 2(a)^2

x = a + h
f (a + h) = 8 + 2( a + h) ^ 2

the last case is represented by two scenarios
x = a + h ... x = a/h

f (a + h) - f( a / h) =
(8 + 2(a + h) ^2) - (8 + 2(a / h)^2)

5 0
3 years ago
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