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lorasvet [3.4K]
2 years ago
14

8. In a large population, 63% of the people have been vaccinated. If 4 people are randomly selected, what is the probability tha

t AT LEAST ONE of them has been vaccinated?
Mathematics
1 answer:
Ludmilka [50]2 years ago
3 0
The probability that none of the four have been vaccinated is
  (1-0.63)^4 = 0.01874161

The probability that at least one has been vaccinated is the complement of this,
  ≈0.9813
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Ms. Lorenz works at the grocery store she is equally likely to be assigned to work in the bakery section, the floral section, th
Taya2010 [7]

Answer:

Step-by-step explanation:I divided 4 an 20 an I got 5

6 0
2 years ago
Q is in the interior of angle ROS S in the interior of angle QOP. P is in the interior of angle SOR. S is in the interior of ang
MrMuchimi

∠ROT=160°

∠SOT=100°

Now ∠SOR= ∠ROT - ∠SOT

∠ SOR = 160°-100°

∠ SOR =60°

It is given that measure of angle ROQ to equals the measure of angle QOS equals the measure of angle POT.

∠SOQ + ∠QOR = 60°

But ∠SOQ = ∠QOR

2∠SOQ=60°

∠SOQ=60°÷2

∠SOQ =30°

Also ∠POT=∠SOQ=∠ROQ=30°


3 0
2 years ago
The price of a train ticket consists of an initial fee plus a constant fee per stop.
murzikaleks [220]

Answer:

Initial Fee is $2.

Step-by-step explanation:

Given:

Stops  Price (dollars)

3         6.50

7         12.50

11         18.50

Also Given:

The price of a train ticket consists of an initial fee plus a constant fee per stop.

So let the Cost of initial fee be 'x'.

Also Let the Cost of Constant fee be 'y'.

Now Equation can framed as;

Price (P) = x + (y\times \textrm{Number of Stops})

Now According to table;

Number of stops = 3

Price = 6.50

So equation can be framed as;

x+3y =6.50 \ \ \ \ equation \ 1

Also According to table;

Number of stops = 7

Price = 12.50

So equation can be framed as;

x+7y =12.50 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation 2 we get;

(x+7y)-(x+3y) =12.50-6.50\\\\x+7y-x-3y=6\\\\4y =6\\\\y= \frac{6}{4}=\$1.5

Substituting the value of y in equation 1 we get;

x+3\times1.5=6.50\\\\x+4.5=6.50\\\\x =6.50-4.5 = \$2

Hence Initial Fee is $2.

8 0
2 years ago
Read 2 more answers
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils left over. How many pencils were i
swat32

Answer:

12 pencils in each package.

Step-by-step explanation:

Given:

Ethan bought 4 packages of pencils.

No of Packages = 4

No of pencils given to friend = 8 pencils

No of pencils left over =40 pencils

∴Total Number of Pencils = No of pencils given to friend + No of pencils left over =40+8 =48

Total Number of pencils in each package = \frac{\textrm{Total Number of Pencils}}{\textrm{No Of Packages}}= \frac{48}{4}= 12 \ pencils

8 0
2 years ago
Joanna set a goal to drink more water daily. The number of ounces of water she drank each of the last seven days is shown below.
butalik [34]
(a) Data with the eight day's measurement.
Raw data:      [60,58,64,64,68,50,57,82], 
Sorted data:  [50,57,58,60,64,64,68,82]
Sample size = 8 (even)
mean            = 62.875
median         = (60+64)/2 = 62
1st quartile   = (57+58)/2 = 57.5
3rd quartile  = (64+68)/2 =  66
IQR = 66 - 57.5 = 8.5

(b) Data without the eight day's measurement.
Raw data:      [60,58,64,64,68,50,57]
Sorted data:  [50,57,58,60,64,64,68]
Sample size = 7 (odd)
mean            = 60.143
median         = 60
1st quartile   = 57
3rd quartile = 64
IQR = 64 -57 = 7

Answers:
1. The average is the same with or without the 8th day's data.  FALSE
2. The median is the same with or without the 8th day's data.  FALSE
3. The IQR decreases when the 8th day is included.                  FALSE
4. The IQR increases when the 8th day is included.                   TRUE
5. The median is higher when the 8th day is included.              TRUE

8 0
2 years ago
Read 2 more answers
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