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Darina [25.2K]
3 years ago
11

If the weights of 1,000 adult men in a county are plotted on a histogram, which curve is most likely to fit the histogram?

Mathematics
2 answers:
bazaltina [42]3 years ago
8 0
The correct answer for the question that is being presented above is this one: "C. a bell-shaped curve, better known as a normal distribution." If the weights of 1,000 adult men in a county are plotted on a histogram, the curve will most probably be a bell-shaped curve, better known as a normal distribution.

Here are the following choices:
<span>A. a U-shaped curve, better known as a normal distribution
B. a star-shaped curve, better known as a normal distribution
C. a bell-shaped curve, better known as a normal distribution
D. a bell-shaped curve, known as an exponential distribution</span>
12345 [234]3 years ago
6 0

Answer: C) a bell-shaped curve, better known as a normal distribution

Step-by-step explanation:plato only

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The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y + 7 = (x – 10). What is the stan
torisob [31]

The point slope form of the line which passes through the points (-5,-1) and (10,-7) is \fbox{\begin\\\ \math 2x+5y=-15\\\end{minispace}} i.e., \fbox{\begin\\\ \bf option C\\\end{minispace}}.

Further explanation:

It is given that line passes through the points (-5,-1) and (10,-7).

The objective is to determine the point slope form of the line which passes through the points (-5,-1) and (10,-7).

The options given are as follows:

Option A: 2x-5y=-15

Option B: 2x-5y=-17

Option C: 2x+5y=-15

Option D: 2x+5y=-17

Consider the point (-5,-1) as (x_{1},y_{1}) and (10,-7) as (x_{2},y_{2}).

Slope of a curve is defined as the change in the value of y with respect to change in value of x.

The slope of the line is calculated as follows:

\fbox{\begin\\\ \math m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\end{minispace}}

To obtain the value of slope substitute the value of x_{1},y_{1},x_{2},y_{2} in the above equation.

\begin{aligned}m&=\dfrac{-7-(-1)}{10-(-5)}\\&=\dfrac{-6}{15}\\&=\dfrac{-2}{5}\end{aligned}

Therefore, the slope of the line is \fbox{\begin\\\ \math m=\dfrac{-2}{5}\\\end{minispace}}

The general way to express the equation of a line in its point slope form is as follows:

\fbox{\begin\\\ \math (y-y_{1})=m(x-x_{1})\\\end{minispace}}

To obtain the point slope form of the equation of the line substitute the value of m, x_{1} and y_{1} in the above equation.

\begin{aligned}(y-(-1))&=\dfrac{-2}{5}(x-(-5))\\(y+1)&=\dfrac{-2}{5}(x+5)\\5y+5&=-2x-10\\5y+2x&=-15\end{aligned}

From the above calculation it is concluded that the point slope form the equation of a line is \fbox{\begin\\\ \math 5y+2x=-15\\\end{minispace}}

Figure 1 (attached in the end) represents the graph of the function 5y+2x=-15.

This implies that the correct option for the point slope form of the line is option C.

Therefore, the point slope form of the line which passes through the points (-5,-1) and (10,-7) is 2x+5y=-15 i.e., option C.

Learn more:

1. A problem to complete the square of quadratic function brainly.com/question/12992613  

2. A problem to determine the slope intercept form of a line brainly.com/question/1473992

3. Inverse function brainly.com/question/1632445.

Answer details

Grade: High school

Subject: Mathematics

Chapter: Linear equation

Keywords: Equation, linear equation, slope, intercept, x-intercept, y-intercept, intersect, graph, curve, slope intercept form, line, y=3x/2-3, standard form, point slope form.  

6 0
3 years ago
Read 2 more answers
G3t s0me p0int3 t0 ask y0ur qu3sti0n
fomenos

12

______________________________________

4 0
2 years ago
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