The histogram representing the data is attcwhwd in the picture below.
Answer:
C On exactly 25% of these days, Shane drank 3 to 4 glasses of water.
Step-by-step explanation:
The number of 8 - ounce glasses is represented on the x - axis and the number of days on the y - axis.
From the histogram ;
Shane drank 1 - 2 glasses on exactly 1 day
Shane drank 3 - 4 glasses on exactly 3 days
Shane drank 5 - 6 glasses on exactly 6 day
Total number of days = 12
60% of 12 = 7.2
On exactly 60% of the days, which is 7.2 days, number of glasses drunk isn't covered by the histogram
25% of 12 ; 0.25 * 12 = 3 days
From the histogram, number of glasses consumed is 3 - 4 glasses ; which is the only true statement about the histogram in the options given.
Note! Every triangle must add up to 360°
1. x =
(×+29°) + (x+19°) + 84° = 360°
x + x + 29° + 19° + 84°= 360°
2x + 48° + 84°= 360°
2x + 132° = 360°
2x = 228°
x = 114°
m(angle)A =
(x+29°)
(114°+29°)=143°
m(angle)B=
(x+19°)
(114°+19°)=133°
3. is a bit different
(3x+6)° = (8x+3)°+130°
-5x+6° = 3° + 130°
-5x = 133° - 6°
-5x = 127°
x = -25.4°
m(angle)A=
(3x+6)°
3×(-25.4)+6= -70.2°
m(angle)DBE=
(8x+3)°=
8(-25.4)+3= -200.2°
I only did 1. and 3. for examples now, but if you need help with anymore just ask!
Answer:
$3800
Step-by-step explanation:
When simple interest is added to the principal amount, the sum increases linearly with time. Essentially, you are asked for the y-intercept of a line that goes through the points (2, 6200) and (3, 7400). You can use the 2-point form of the equation of a line to find it:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (7400 -6200)/(3 -2)(x -2) +6200 . . . . fill in given points
y = 1200(x -2) +6200 . . . . . . . . . simplify some
y = 1200x -2400 +6200 . . . . . . simplify more
y = 1200x +3800 . . . . . . . . . . . . . completely simplify
When the number of years (x) is zero, the amount is 3800. The principal is $3800.
_____
The account is earning $1200 per year on a principal of $3800. The interest rate is about 31.6%, an unusually high value.
_____
<em>Alternate solution</em>
You can recognize that the interest earned in one year is 7400 -6200 = 1200. Since this is simple interest, the amount of interest earned each year is the same, so in 3 years, the account has earned 3×$1200 = $3600 in interest. Then the original principal amount must be ...
$7400 -3600 = $3800 . . . . . principal amount
No, because 2/3 has 3 big pieces and 5/6 has 6 small pieces
Using translation concepts, the note E would be louder with a higher amplitude of y, hence constant a has to be multiplied by a positive constant greater than 1.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the function is given by:
y = asin(1320πx)
The intensity of a sound is given by it's amplitude a, hence, to make the sound stronger, we need to vertically stretch the graph of y, which is done when constant a is multiplied by a positive constant greater than 1.
More can be learned about translation concepts at brainly.com/question/28416763
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