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Arturiano [62]
3 years ago
9

Jamie is conducting inventory at a public library, so they have to verify that each item from the catalog is in its correct loca

tion. At any given time, 97%, percent of the items are checked into the library (not checked out). Let B be the number of items that Jamie verifies to reach the first item that is checked out. Assume that each item's checked out status is independent.
Find the mean and standard deviation of B.
Mathematics
1 answer:
Andrei [34K]3 years ago
4 0

Answer:

Mean: 33.3

SD: 32.8

Step-by-step explanation:

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Brigitte is shorter than 5 feet. (Brigitte's height=h). Help please
KonstantinChe [14]

Brigitte is shorter than 5 feet. (Brigitte's height=h)

We write this in  inequality form

Brigitte's height is h

So 'h' is shorter than 5 feet

Shorter means less than so we use < symbol. We should not use = symbol because height is shorter than 5 not equal to 5.

Suppose if it is given ' height is more than 5 feet ' then we use greater than symbol (>)

h is less than 5 feet

h < 5

Inequality is h < 5

3 0
3 years ago
Read 2 more answers
The following two vectors satisfy the same system of linear equations. u=⎡⎣⎢⎢6−5−5⎤⎦⎥⎥, v=⎡⎣⎢⎢746⎤⎦⎥⎥ Find x and y that make the
kondaur [170]

Answer:

x=-30/71, y=0

Step-by-step explanation:

if a vector satisfies an equation of the form ax+by+cz=0 then the vector is  

parallel to the plane ax+by+cz=0, and, the cross product of two vectors results in an orthogonal vector to both.

So, <a,b,c> the normal vector of the plane ax+by+cz=0, can be found as the cross product of the two parallel vetors to the plane:

<a,b,c> = <6,-5,-5>×<7,4,6>= <-10,-71,59>

so, the homogeneous system is:

-10x-71y+59z=0

by replacing the vector <3,x,y> in the system

-30-71x+59y=0

So, there are 2 unknown variables and 1 equation, it means that 1 variable is free

so, y=0 is a random defition and x can be obtain with the equation

-30-71x=0 -> x=-30/71

3 0
3 years ago
Q(x) = 2x+5<br> f(x)= x^2+1<br> find (gof)(7)
poizon [28]

Answer:105

Step-by-step explanation:

first find f(7)

(7)^2 + 1

=50

then put the answer for f(7) in g of x

2(50) + 5

=105

4 0
4 years ago
Here's the data (sorted) of the ages of 91 women who won the Oscar for Best Actress in a Leading Role:
Andreyy89

Answer:

B. 21, 28, 33, 41, 81

Step-by-step explanation:

Data : 21, 22, 22, 24, 24, 24, 24, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 31, 31, 31, 32, 32, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 37, 37, 37, 37, 38, 38, 38, 39, 39, 39, 41, 41, 41, 41, 42, 42, 44, 45, 45, 45, 47, 49, 49, 54, 60, 60, 61, 61, 61, 62, 62, 74, 81

Five number summary includes :

1. Minimum vale

2. First Quartile

3. Median : mid value of the given data is 46th term = 33

4.Third Quartile

5.Maximum value

Solution :

1. Minimum vale : smallest value of data = 21

2. First Quartile: median of the data (first number to the actual median) i.e. from 1st term to 46th term

Median for even number of terms :  \frac{\frac{n}{2}th+(\frac{n}{2}+1)th}{2}

n = 46

so, median =  \frac{\frac{46}{2}th+(\frac{46}{2}+1)th}{2}

                    = \frac{23th+24th}{2}

                    = \frac{28+28}{2}

                   = \frac{56}{2}

                     = 28

Thus first quartile = 28                

3. Median : mid value of the given data(ages of 91 women) is 46th term = 33

4.Third Quartile :median of the data (46th number[actual median] to the 91th)

Median for even number of terms :  \frac{\frac{n}{2}th+(\frac{n}{2}+1)th}{2}

n = 46

so, median =  \frac{\frac{46}{2}th+(\frac{46}{2}+1)th}{2}

                    = \frac{23th+24th}{2}

                    = \frac{41+41}{2}

                   = \frac{82}{2}

                     = 41

Thus third quartile = 41

5.Maximum value : highest value of data = 81

Thus the five number summary is  21, 28, 33, 41, 81

Hence Option B is correct

8 0
3 years ago
How do i convert a number to a scientific notation
Ede4ka [16]

Answer:

You write the non-zero digits, placing a decimal after the first non-zero digit. Then, you count the number of digits you need to move the beginning decimal to get to where your decimal is now. If you move the decimal to the left, then your power is positive.

Step-by-step explanation:

so for example, .005 would be 5x10^-2 and 500 would be 5x10^2

4 0
3 years ago
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