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Katena32 [7]
3 years ago
14

Find the median and mean of the data set below: 21,0,36,30,13,32

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0

Answer:

Median: 25.5

Mean: 22

Step-by-step explanation:

Hope this helps!

Have a lovely day!

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Find the missing probability. P(B)=720,P(A|B)=14 ,P(A∩B)=?
Ivan

Answer:

7/80

Step-by-step explanation:

Given that: P(B) = 7 / 20, P(A|B)= 1 / 4

Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:

P(A|B)=\frac{P(A \cap B)}{P(B)}

Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.

P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\P(A \cap B)=P(A|B)*P(B)\\\\Substituting:\\\\P(A \cap B)=1/4*7/20=7/80\\\\P(A \cap B)=7/80

6 0
3 years ago
Jonas wants to paint the walls of his bedroom and the ceiling. The dimensions of his room are 7 feet by 12 feet by 8 feet.
sleet_krkn [62]

Answer:

The surface area that will be painted is 376 ft2.

7 0
2 years ago
Read 2 more answers
The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in t
Dimas [21]
H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds. 
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. 
5 0
3 years ago
Read 2 more answers
Karl participated in a two-day charity walk. His parents donated money for each mile he walked. Karl walked 3 1/4 miles on the f
Dvinal [7]
This is quite simple. We will first add the amount of miles walked together.
3.25+5.5=8.75
Then we will divide 175 by the number of miles walked which in this case is 8.75.
Then we get 20 which is the amount of money that his parents donated for every mile that he walked.
4 0
3 years ago
Factor each completely. <br><br>10a² - 9a + 2 <br><br>​
Sophie [7]

Answer:

a= \frac{2}{5} or \frac{1}{2}

Step-by-step explanation:

Equate the equation to zero

10a^{2}-9a+2=0

10a^{2}-5a-4a+2=0

5a(2a-1)-2(2a-1)=0

Write out the factors

(5a-2)(2a-1)=0

Then equate each factor to zero

5a-2=0 OR 2a-1=0

5a=2  OR  2a=1

a= \frac{2}{5}   OR a= \frac{1}{2}

a=\frac{2}{5} or \frac{1}{2}

3 0
2 years ago
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