step 1
<span>compute the average: add the values and divide by 6
Average =(44+ 46+40+34+29+41)/6=39
step 2
</span><span>Compute the deviations from the average
dev: (44-39)=5,
</span>dev: (46-39)=7
dev: (40-39)=1
dev: (34-39)=-5
dev: (29-39)=-10
dev: (41-39)=2
step 3
<span>Square the deviations and add
sum (dev^2): 5^2+7^2+1</span>^2+-5^2+-10^2+2^2
sum (dev^2): 25+49+1+25+100+4-----> 204
step 4
<span>Divide step #3 by the sample size=6
(typically you divide by sample size-1 to get the sample standard deviation,
but you are assuming the 6 values are the population,
so
no need to subtract 1, from the sample size.
This result is the variance
Variance =204/6=34
step 5
</span><span>Standard deviation = sqrt(variance)
standard deviation= </span>√<span>(34)------> 5.83
the answer is
5.83</span>
x° + 90° + 52.6 = 180°
<em>because</em><em> </em><em>a</em><em> </em><em>triangle</em><em> </em><em>adds</em><em> </em><em>up</em><em> </em><em>to</em><em> </em><em>1</em><em>8</em><em>0</em><em>°</em><em> </em><em>and </em><em>that</em><em> </em><em>spec</em><em>ific</em><em> </em><em>triangle</em><em> </em><em>is</em><em> </em><em>a</em><em> </em><em>right</em><em> </em><em>angle </em><em>triangle</em><em> </em><em>which</em><em> </em><em>means</em><em> </em><em>that</em><em> </em><em>it</em><em> </em><em>consist</em><em>s</em><em> </em><em>of</em><em> </em><em>angle</em><em> </em><em>adding</em><em> </em><em>up</em><em> </em><em>to</em><em> </em><em>9</em><em>0</em><em>°</em>
Answers:
P(A) = 7/12
P(B) = 1/2
=====================================================
Explanation:
To see how I calculated P(A), check out this link to this very similar question
brainly.com/question/27669586
--------------------
Now to calculate P(B)
If a number is divisible by 2, then the number is a multiple of 2.
In other words, the number is even.
Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.
Here's a further breakdown
- 1 copy of "2"
- 3 copies of "4"
- 5 copies of "6"
- 5 copies of "8"
- 3 copies of "10"
- 1 copy of 12
Side note: We have nice symmetry going on.
There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.
P(B) = 18/36 = (1*18)/(2*18) = 1/2
Answer:
122.4
Step-by-step explanation:
Remember PEMDAS
Parentheses
Exponents
Multiply
Divide
Add
Subtract
(52-15+2)=39
39x3=117
117+5.4=122.4
Answer:
1 1/4 hours
Step-by-step explanation:
.75/.6=x/1
cross multiply
.75=.6x
divide by .6
x=1.25 hours
