Answer:
x = 9
Step-by-step explanation:
A line segment parallel to a side of a triangle and intersecting the other 2 sides divides the 2 sides in proportion, that is
=
=
( cross- multiply )
8(3x - 20) = 56
24x - 160 = 56 ( add 160 to both sides )
24x = 216 ( divide both sides by 24 )
x = 9
Answer:
The equation that describes the relationship between the number of dimes and the number of nickels in Priya's pocket. is;
Explanation:
Let n and d represent the number of nickels and dimes in her pocket;
We know that;
1 nickel is 5 cents = 0.05 dollar
1 dime is 10 cents = 0.10 dollar
Also;
n nickels = n times 0.05 dollars
d dimes = d times 0.10 dollar
The total is given as;
the total amount is $1.25.
So, we have the equation as;
Therefore, the equation that describes the relationship between the number of dimes and the number of nickels in Priya's pocket. is;
21
3*7times 7+7=14+7 =21
21 0 3-3=0
21/1 0/1 butterfly method 21*1=21 0*1 =1
21*1
=21 hope this helps
Answer:
Mean = 64.46, Median = 62 and Mode = Bi-modal (50 and 62)
Range of the data is 55.
Step-by-step explanation:
We are given that Mr. Green teaches mathematics and his class recently finished a unit on statistics.
<u>The student scores on this unit are:</u> 40, 47, 50, 50, 50, 54, 56, 56, 60, 60, 62, 62, 62, 63, 65, 70, 70, 72, 76, 77, 80, 85, 85, 95.
We know that Measures of Central Tendency are: Mean, Median and Mode.
Mean =
where = Sum of all values in the data
n = Number of observations = 24
So, Mean =
= = 64.46
So, mean of data si 64.46.
For calculating Median, we have to observe that the number of observations (n) is even or odd, i.e.;
Median =
Median =
Now here in our data, the number of observations is even, i.e. n = 24.
So, Median =
=
=
= =
= 62
Hence, the median of the data is 62.
In our data, there are two values which appear maximum number of times, i.e. 50 and 62 as these both appear maximum 3 times in the data.
This means our data is Bi-modal with 50 and 62.
Range = Highest value - Lowest value
= 95 - 40 = 55
Hence, range of the data is 55.