A rational number between-16 and -20

following frequency distribution shows the daily expenditure on milk of 30 households in a locality:Daily expenditure on milk(in

valina [46]

Note: As you missed to identify what we have to find in this question. But, after a little research, I am able to find that we had to find the Mode for the data given in your question. So, I am assuming we have to calculate the the Mode. Hopefully, it would clear your concept regarding this topic.

Answer:

The mode of the data = 75

Step-by-step explanation:

Lets visualize the given data in a table to show the frequency distribution:

Daily expenditure on milk (in Rs) Number of households

0-30 5

30-60 6

60-90 9

90-120 6

120-150 4

Here the maximum frequency is 9.

So, modal class is 60-90.

As the formula to calculate the mode:

$Mode = l_{1} + h (\frac{f_{1}-f_{0}}{2f_{1}-f_{0}-f_{2}} )$

Here, the maximum

$l_{1} =60, f_{1} =9, f_{0}=6, f_{0}=6, h=30$

$l=$ is the lower limit of the class

$f_{1} =$ is the frequency of the modal class

$f_{0} =$ is the frequency of the previous modal class

$f_{2} =$ is the frequency of the next previous modal class

$l=$ is the class size

So,

$Mode = l_{1} + h (\frac{f_{1}-f_{0}}{2f_{1}-f_{0}-f_{2}} )$

$Mode = 60 + 30 (\frac{9-6}{2(9)-6-6} )$

$Mode = 60 + \frac{(30)(3)}{6}$

$Mode = 60 + 15=75$

∴ The mode of the data = 75

Keywords: mode, frequency distribution

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5 0

3 years ago

Nicolas has $650 to deposit into two different savings accounts. • Nicolas will deposit $400 into Account I, which earns 3.5% an

Alinara [238K]

C) $694.25

Why?
Because you want to times the interest by 2 (1 is for one year but u want to find the amount after two years) then you multiply the amount given to each bank separately so:

400*0.07 (7% which is 7/100) = 28
250*0.065 (6.5% which is 65/1000) = 16.25

Then u add the interests together:
28+16.25 = 44.25

Finally you add that to the amount you started with:
$650+$44.25= $694.25

5 0

3 years ago

WILL MARK BRAINLIEST!!! HELP ASAP!!!!!!!

Elena L [17]

The first picture is 10. how many people were in the sample, unless there is something else that says "for each x counts for however many people) if they each count for 1 it should be 10
median is 8.5
mean is 8
mode is 8
outlier is 5

8 0

3 years ago

A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?

N76 [4]

If the series is made up of numbers in an arithmetic progression, you have

$\displaystyle\sum_{n=1}^{18}a_n=\sum_{n=1}^{18}(a_1+(n-1)d)=18a_1+153d=4185$

where $a_1$ is the first term and $d$ is the common difference between terms.

Since the last term in the series is $a_{18}=275$ , you have

$a_{18}=a_1+(18-1)d\implies a_1+17d=275$

Solve the system

$\begin{cases}18a_1+153d=4185\\a_1+17d=275\end{cases}$

and you'll find that the first term is $a_1=190$ (with $d=5$ ).

5 0

4 years ago

A rectangular garden is 20 ft longer than it is wide. Its area is 800 ft 2 . What are its dimensions?

EleoNora [17]

Our equation for the area of a rectangle is l x w = A (length times width equals area)
We know that l=w+20 so we can plug this into our equation.
It is now, (w+20) x w =800
We can then solve for w
w^2 +20w =800
We can subtract 800 on each side to get
w^2 +20w - 800 =0
We then factor to get
(w-20)(w+40)=0
This gives us w =20 and w = -40
Width cannot be negative so our width will be 20 feet
Since our length is 20 more than this, then our length will be 40feet
So the dimensions of the rectangle are 20 ft wide by 40 ft long

6 0

3 years ago