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2 years ago

30,45,x,100; The median is 51

2 answers:

3 0

To solve for x, you must first understand how the median was calculated out of the given set of numbers. Without looking at the given median value, we can see that we cannot get the median by process of elimination since there are an even amount of numbers in this particular set. Therefore, we must average the two closest values to what should be the median.

In this case, the values are "45" and "x". If we pretend that we know the value of the variable "x" (for example we will pretend that x is 55), then we should have an equation that looks like this: (45+55) ÷ 2 = [median]. What this equation is doing is adding the two closest values to the median (45 and 55) and dividing it by 2, the number of values we are averaging. Now we can solve this equation and simplify it to 100 ÷ 2 which is 50, our median.

So if they give us the median instead of the x value, then we can rewrite the equation to fit your request: (45+x) ÷ 2 = 51. Now we can solve for x:

1. Multiply by 2
(45+x) = 102

2. Subtract 45
x = 57

The x value for your question is 57.

son4ous [18]2 years ago

3 0

Answer:

x = 57

Step-by-step explanation:

Median is the number that is halfway mark. If we are given a data, first we need to arrange them in ascending order and take the middle value. That is called median.

If we have odd number of data, we can easily find the middle value.

For instance, 1, 2, 3, 4, 5 here the number of data = 5 which is odd number.

The middle number is 3.

Therefore, median is 3.

If we have even number of data, we have to take middle two values, add them then divide by 2.

In this case, we are given even number of data

30, 45, x, 100

4 data which is even number of data.

Median is given as 51, we need to find the value of x.

The middle two numbers are 45 and x, we have to add them and divide by 2

Median = $\frac{45 + x}{2}$ [Given: median = 51]

51 = $\frac{45 + x}{2}$

Multiplying both sides by 2, we get

51*2 = 45 + x

102 = 45 + x

Subtract 45 in both sides, we get

102 - 45 = 45 -45 + x

x = 102 -45

x = 57

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a car rental service rently purchased all new vehicles .to help cover the cost ,rental rates have to increase 26% from the norma

ruslelena [56]

Answer:

The new rate should be $56.67 per day

Step-by-step explanation:

Proportion states that the two fractions or ratios are equal.

As per the statement:

Normal rate per day = $45

To find the new rate:

Let new rate be x per day

By definition of proportion:

$\frac{126}{100} = \frac{x}{45}$

By cross multiply we have;

$100x = 126 \times 45$

Divide both sides by 100 we get;

$x = \frac{126 \times 45}{100}$

Simplify:

x = $56.7

Therefore, the new rate should be $56.7 per day

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2 years ago

Craig has $1850 dollars in a bank account that he uses to make automatic payments of $400.73 on his car loan. If Craig stops mak

Ivenika [448]

Given:

Amount in the bank account = $1850

Monthly payment of can loan = $400.73

To find:

When would automatic payments make the value of the account zero?

Solution:

Craig stops making deposits to that account. So, amount $1850 in the bank account is used to make monthly payment of can loan.

On dividing the amount by monthly payment, we get

$\dfrac{1850}{400.73}=4.61657$

It means, the amount is sufficient for 4 payment but for the 5th payment the amount is not sufficient.

Therefore, the 5th automatic payments make the value of the account zero.

6 0

2 years ago

The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s = 180(n – 2), where n is the numb

pshichka [43]

S = 180° ( n - 2 )
The equation for n is:
n = s / 180° + 2
s = 1,260°
n = ( 1,260° : 180° ) + 2 = 7 + 2 = 9
Answer:
A polygon has 9 sides.

7 0

1 year ago

Read 2 more answers

A dentist wants to find out how often her patients floss their teeth. Which samples are biased? Check all that apply. all her pa

ArbitrLikvidat [17]

Answer:

all her patients patients with no cavities

patients younger than 18

every patient with braces

Step-by-step explanation:

when a sample is selected in a manner that some elements, in this case patients, of population have higher or lower probability of sampling then that sample is biased.

From given case, all the following are biased samples

all her patients patients with no cavities

patients younger than 18

every patient with braces

because they are non-random sample of a population in which all other elements were not equally likely to be chosen!

7 0

2 years ago

Read 2 more answers

A new obstacle course is home to several new types of challenging obstacles. One such obstacle is traversing a 15-stair staircas

Tresset [83]

Answer: $22\frac{1}{2}\text{ Feet}$

Step-by-step explanation:

Here, the vertical space between two consecutive stairs in first 10 stairs = $1\frac{1}{3}\text{ feet}$

⇒ The total vertical distance for 10 stairs = $10\times 1\frac{1}{3}=10\times \frac{4}{3}=\frac{40}{3}\text{ feet}$

Also, The vertical space between two consecutive stairs for last 5 stairs = $1\frac{3}{4}\text{ feet}$

⇒ The total vertical distance for 10 stairs = $10\times 1\frac{1}{3}=5\times \frac{7}{4}=\frac{35}{4}\text{ feet}$

Thus, The total vertical distance = Total vertical space for the first 10 stairs + Total vertical space for the last 5 stairs

= $\frac{40}{3} + \frac{35}{4}$

= $\frac{160+105}{12}$

= $\frac{265}{12}$

= $22\frac{1}{2}\text{ Feet}$

4 0

2 years ago