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2 years ago

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g A modal class in a histogram is the class that includes a. the largest number of observations. b. the smallest observation in

the data set. c. the largest observation in the data set. d. the smallest number of observations.

1 answer:

Oksana_A [137]2 years ago

4 0

Answer:

a. the largest number of observations.

Step-by-step explanation:

The mode is the variable in a data that has the highest frequency. Which implies that it occurs more than other variables.

When plotting a histogram, the modal class is one that has the greatest number of observations. Showing that the variables comprised in the class has more occurrence than others. Therefore, the required answer to the question is option a.

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A belt and a wallet cost $42 while 7 belts and 4 wallets cost $213. Calculate the cost of each item.

Fittoniya [83]

Let, the cost of a belt = x
cost of a wallet = y

Then, system of equations would be:
x + y = 42
7x + 4y = 213

Multiply 1st equation by 4,
4x + 4y = 168
Substitute it from 2nd equation,
3x = 45
x = 15

Now, substitute it in 1st equation,
15 + y = 42
y = 42 - 15 = 27

In short, Belt costs $15 and wallet costs $27

Hope this helps!

3 0

2 years ago

Read 2 more answers

On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, ne

nasty-shy [4]

HIJK is a parallelogram because the midpoint of both diagonals is

(1 , 0), which means the diagonals bisect each other

Step-by-step explanation:

If (x , y) is the mid-point of a segment whose end points are $(x_{1},y_{1})$ and $(x_{2},y_{2})$ then,

$x=\frac{x_{1}+x_{2}}{2}$

$y=\frac{y_{1}+y_{2}}{2}$

In a parallelogram, its diagonals intersect each other at their mid-points

that means its diagonals bisect each other

∵ HIJK is a quadrilateral

∵ HJ and IK are its diagonals

∵ H = (-2 , 2)

∵ J = (4 , -2)

- Find the mid point of HJ

∵ $M_{HJ}=(\frac{-2+4}{2},\frac{2+-2}{2})$

∴ $M_{HJ}=(\frac{2}{2},\frac{0}{2})$

∴ $M_{HJ}=(1,0)$

∴ The mid-point of HJ is (1 , 0)

∵ I = (4 , 3)

∵ K = (-2 , -3)

- Find the mid point of IK

∵ $M_{IK}=(\frac{4+-2}{2},\frac{3+-3}{2})$

∴ $M_{IK}=(\frac{2}{2},\frac{0}{2})$

∴ $M_{IK}=(1,0)$

∴ The mid-point of IK is (1 , 0)

∵ The mid-points of HJ and IK are equal

∴ HJ and IK bisects each other

∴ HIJK is a parallelogram because its diagonals bisect each other

HIJK is a parallelogram because the midpoint of both diagonals is

(1 , 0), which means the diagonals bisect each other

Learn more:

You can learn more about parallelogram in brainly.com/question/6779145

#LearnwithBrainly

6 0

2 years ago

Read 2 more answers

Binks needs to raise at least $3600. He was given $200 and plans to save $50 a week. Select all of the inequalities that represe

kherson [118]

Answer:

I'm pretty sure it is 50n+200 <u><</u> 3600

Step-by-step explanation:

Im to fully sure tho

5 0

1 year ago

There are approximately 7.5 gallons of water in 1 cubic foot. If the water in the tank at time 80 minutes was transferred to an

icang [17]

<span>The volume of the cylinder: V=r²π*H
V=7.5ft²
r=3ft
H=?
7.5=3²*π*H
7.5=28.274H⇒H=7.5/28.2740
H=0.265ft
</span><span>
The water level will be 0.265ft.</span>

8 0

2 years ago

Find the measure of angle C in the parallelogram. Round your answer to the nearest degree

kap26 [50]

Answer:

75°

Step-by-step explanation:

In a parallelogram, any two adjacent angles are supplementary. In other words, they total 180.

Angle D and Angle E are adjacent. Thus, they are supplementary. In other words:

$\angle D +\angle E =180$

Substitute them for the equations:

$7x+21+15+5x=180$

Combine like terms and add on the left:

$12x+36=180$

Subtract 36 from both sides:

$12x=144$

Divide both sides by 12:

$x=12$

Thus, the value of x is 12.

Note that Angle D and Angle C are also adjacent. Thus, their angles also equal 180.

So:

$\angle D+\angle C =180$

Substitute the equation for D:

$7x+21+\angle C=180$

Plug in 12 for x:

$7(12)+21+\angle C =180$

Simplify:

$84+21+\angle C =180\\105+\angle C =180$

Subtract 105 from both sides:

$\angle C =75\textdegree$

Thus, Angle C is 75 degrees.

4 0

2 years ago