<h3><u>Ⲁⲛ⳽ⲱⲉⲅ:</u></h3>
<h3>
<u>Ⲋⲟⳑⳙⲧⳕⲟⲛ :</u></h3>
<u>We </u><u>are </u><u>given </u><u>that </u><u>:</u>
- Height of cylinder = 21 cm
- Radius of cylinder = 24 cm
<u>Therefore, Volume :</u>
➙ V = πr²h
➙ V = ( 22 / 7 ) × ( 24 )² × ( 21 )
➙ V = ( 22 / 7 ) × 576 × 21
➙ V = ( 22 × 576 × 21 ) / 7
➙ V = 266112 / 7
➙ V = 38016
ㅤㅤ ㅤㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>volume</u><u> </u><u>of </u><u>given</u><u> </u><u>cylinder</u><u> </u><u>is </u><u>3</u><u>8</u><u>,</u><u>0</u><u>1</u><u>6</u><u> </u><u>cm³</u><u>.</u>
<h3>
<u>⳨ⲟⲅⲙⳙⳑⲇ ⳙ⳽ⲉ∂ :</u></h3>
The volume of cylinder is it's density which tells us the amount by which it can be filled by any material or the the amount of material which can be immersed in it.
The Formula for volume of cylinder is given by :
ㅤㅤㅤㅤㅤ➙ πr²h
Answer:
And we can find the individual probabilities:
And replacing we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability associated to a failure would be p =1-0.09 = 0.91
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
And we can find the individual probabilities:
And replacing we got:
Answer: 14 gallons of gas.
Step-by-step explanation: For the fractions, find a common denominator, which would be 10. To get 1/5 to have a denominator of 10, multiply each number by 2. You would get 2/10. 7 gallons fills his tank from 2/10 to 7/10. Subtract the two fractions.
7/10 - 2/10 = 5/10.
7 gallons filled his tank half way. We are trying to find the amount to fill his tank all the way. So multiply 7 by 2.
7 x 2 = 14
14 gallons of gas will fill his tank all the way.
I hope this helps!
Answer:
C
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 2 and (a, b) = (1, 9) , thus
y - 9 = 2(x - 1) → C
When the image of point C is reflected across the line, then it's written as C'.