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Dafna1 [17]
4 years ago
9

Help me please will mark brainlyist

Mathematics
1 answer:
Leni [432]4 years ago
4 0

Answer:

24.46

Step-by-step explanation:

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Identify the lower class​ limits, upper class​ limits, class​ width, class​ midpoints, and class boundaries for the given freque
maw [93]

Answer:

The number of individuals included in the summary is 146.

Step-by-step explanation:

The frequency distribution table provided is as follows:

Class Intervals    Frequency

    100 - 199               24

   200 - 299              90

   300 - 399              27

   400 - 499                1

   500 - 599               4

The lower class limit it the smallest value of each class interval.

Lower class limit = {100, 200, 300, 400, 500}

The upper class limit it the highest value of each class interval.

Upper class limit = {199, 299, 399, 499, 599}

The lower class boundaries are the lower class limits decreased by 0.5 and the upper class boundaries are the upper class limits increased by 0.5.

Class boundaries:

   99.5 - 199.5  

  199.5 - 299.5

  299.5 - 399.5

  399.5 - 499.5

  499.5 - 599.5

The class width is the difference between the class boundaries of each class.

Class width = 199.5 - 99.5 = 100

So, the class width is 100.

The midpoints of a class is the average value of the boundaries of a class.

\text{Midpoint}_{100-199}=\frac{\text{Lower class boundary} + \text{Upper class boundary}}{2}\\

                         =\frac{99.5+199.5}{2}\\\\=149.5

\text{Midpoint}_{200-299}=\frac{\text{Lower class boundary} + \text{Upper class boundary}}{2}\\

                         =\frac{199.5+299.5}{2}\\\\=249.5

\text{Midpoint}_{300-399}=\frac{\text{Lower class boundary} + \text{Upper class boundary}}{2}\\

                         =\frac{299.5+399.5}{2}\\\\=349.5

\text{Midpoint}_{400-499}=\frac{\text{Lower class boundary} + \text{Upper class boundary}}{2}\\

                         =\frac{399.5+499.5}{2}\\\\=449.5

\text{Midpoint}_{500-599}=\frac{\text{Lower class boundary} + \text{Upper class boundary}}{2}\\

                         =\frac{499.5+599.5}{2}\\\\=549.5

The number of individuals included in the summary is the sum of all frequencies.

\text{Number of Individuals}=24 + 90 + 27 + 1 + 4=146

Thus, the number of individuals included in the summary is 146.

3 0
3 years ago
Read 2 more answers
A point P(x,y) is shown on the unit circle corresponding to a real number t. Find the values of the trigonometric functions at t
Ivan

Answer:

sin t = \frac{3}{5}

cos t = -\frac{4}{5}

tan t = -\frac{3}{4}

csc t = \frac{5}{3}  

sec t = -\frac{5}{4}  

cot t = -\frac{4}{3}  

Step-by-step explanation:

In the unit circle:

  • x-coordinate of a point on the circle represents cosine the angle between the + ve part of x-axis and the terminal side which joins the center of the circle and this point
  • y-coordinate of a point on the circle represents sine the angle between + ve part of x-axis and the terminal side which joins the center of the circle and this point

In the attached figure

∵ t represents the angle between + ve part of x-axis

    and the terminal side drawn from the center of the circle to

    point P

∴ The coordinates of point P are (cos t , sin t)

∵ The coordinates of P are ( -\frac{4}{5} , \frac{3}{5} )

∴ sin t = \frac{3}{5}

∴ cos t = -\frac{4}{5}

∵ tan t = \frac{sin(t)}{cos(t)}

- Substitute the values of sin t and cos t

∴ tan t = \frac{\frac{3}{5}}{-\frac{4}{5}}

- Multiply up and down by 5 to simplify the fraction

∴ tan t = -\frac{3}{4}

∵ csc t = \frac{1}{sin(t)}

- Reciprocal the value of sin t

∴ csc t = \frac{5}{3}  

∵ sec t = \frac{1}{cos(t)}

- Reciprocal the value of cos t

∴ sec t = -\frac{5}{4}  

∵ cot t = \frac{1}{tan(t)}

- Reciprocal the value of tan t

∴ cot t = -\frac{4}{3}  

3 0
4 years ago
A line has an x-intercept of 2 and a y-intercept of 6. Find the slope of the line.
telo118 [61]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
What is the equation of the line that passes through (-5,6) and has an undefined slope?
lianna [129]

Hello from MrBillDoesMath!

Answer:     x = -5

Discussion:

The line has an undefined slope. This implies the line is vertical and its equation is like "x = a" for some constant "a", We are told the line passes through  (-5,6) so the first coordinate, -5, is the "a" value we need.

Thank you,

MrB

7 0
4 years ago
What is the value of x pls HELP!!!!!
vovangra [49]

Answer:

70

Step-by-step explanation:

The angle is equal to the degree of the arc, so the angle, 2x, is equal to 140°.

140 = 2x

140/2 = x

70 = x

x is equal to 70.

5 0
3 years ago
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