30,45,x,100; The median is 51
Answers
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 = [Given: median = 51]
51 =
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
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.
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Answers
Final answer:
Given that Pam spends 80 minutes a day practicing math and dance combined, with dancing taking up 20 minutes more than math, it's mathematically impossible for her to spend 60 minutes on dance. She can only spend 50 minutes on dance and 30 minutes on math.
Explanation:
To answer your question, let's first assume that Pam spends 'x' minutes practicing math. According to the information provided, she spends 20 minutes more dancing than doing math, which means she spends 'x + 20' minutes dancing. The total time she spends practicing both activities is 80 minutes. So, 'x' (math) plus 'x + 20' (dance) equals 80.
This can be represented as the equation: x + x + 20 = 80. By solving this equation, we find that 'x' equals 30. This means that Pam spends 30 minutes practicing math and 50 minutes (30 + 20) practicing dance. Therefore, it is not possible for Pam to have spent 60 minutes practicing dance every day because she only spends 50 minutes practicing dance.
Learn more about time allocation here:
#SPJ2
Answers
30 x 5,280 = 158400
Now let's find how many feet the first person runs per minute.
158400/60 = 2640
The first person runs 2,640 feet per minute, and the second person runs 3,520 feet per minute.
Since the second person runs fast, let's find by how many miles per hour they're faster than the first person.
3520-2640 = 880
How many miles is 880 feet?
5280/880 = 0.17
The second person runs faster by 0.17 miles per hour.
Hope this helps! :)
CORRECTION: "A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile. "
OPTIONS:
A: A deer is 10 miles per hour faster than a bison.
B: A bison is 10 miles per hour faster than a deer.
C: A deer is 0.66 miles per hour faster than a bison.
D: A bison is 0.66 miles per hour faster than a deer.
This is what you meant right!? ^^^
I've done this Question before, so i'll Help You Then!
We 1st off, have to convert the ft/min speed into miles/hour:
3520 feet ... 1 mile ..... 60 minutes ... 3520 x 60 miles
-------------- x ------------- x ---------------- = ---------------
1 minute ... 5280 feet .... 1 hour .......... 5280 hours
= (3520 * 60) / 5280
= 40 miles/hour
The Correct Answer Is:
B. The bison is 10 miles per hour faster than a deer.
Hope this Helps! Have A Wonderful Day! :)
Answers
Answer:
Al will receive $1770 for his work.
Step-by-step explanation:
Given : Al Johnson is a word processor. He is paid $2.95 a page.
To Find: A normal job has 600 pages and requires about 225 words per page. About how much will Al receive for his work?
Solution:
Cost of 1 page = $2.95
So, cost of 600 pages =
=
Hence Al will receive $1770 for his work.
2.95 * 600 = $ 1770
Answers
Hi there!
One little tip of advice I would like to give you is that when solving equations with 2 variables, and you're looking for only one, the second will always end up in your answer. So, since we're solving for x, the y will end up in our equation. :D
Let's begin!
Step 1) Add 4y to both sides.
Step 2) Divide both sides by 3.
Final answer -
If you wanted to see this graphed, however, see the attached file. :)
Hope this helps!
Message me if you need anything else! I'd be happy to help! :D
add 4y to both sides
3x=4y+16
divide both sides by 3
x=(4y+16)/3
Answers
Answer:
$348.29
Step-by-step explanation:
The payment is calculated by multiplying the rate per hundred times the number of hundreds. The latter is found by dividing the loan amount by $100.
$2.41 × $14,452/$100 ≈ $348.29
Answer:$299.16
Step-by-step explanation:
Financed amount = $14452
APR = 8.9%
Period / time = 5 years
monthly payment = $100 for every $2.07
To calculate the monthly payment of a financed amount we multiply the financed amount by the ratio of the given amount paid per $100
The monthly payment would be = 14452 * 2.07/100 = 14452 * 0.0207
= $299.16 approximately
therefore the monthly payment of a financed amount of $14452 is equal to $299.16