Answer:
a) Median stays the same
b) Mean is decreased by $9
Step-by-step explanation:
The median is the number or the average of the two numbers that is in the middle of a sorted distribution of numbers,
Here the median number will be the 5th number counting from left or right from the sorted list of numbers. Therefor is is 891.
When 1027 is changed to 946 it will fall between 938 and 1002. So updated sorted list of numbers will now look like,
679, 715, 799, 844, 891, 917, 938, 946, 1002
Here also median will be the 5th number which will be equal to 891.
Therefore, , median will not change.
Mean is the value we get by taking the total value of the salaries and divide it by the number of employees.
In the initial case,
Mean =[tex]\frac{679+715+799+844+891+917+938+1002+1027}{9} =868[/tex]
When the salary is changed from $1027 to $946,
Mean=[tex]\frac{679+715+799+844+891+917+938+1002+946}{9} =859[/tex]
Therefor we can see that Mean has decreased by $9.
If I have two lines, will they cross? What postulate helps me answer this question?
what is the answer 2p-a=3p+b if p is the subject of the formula
*To solve for a variable, you have to isolate the desired variable onto 1 side
So firstly, subtract 2p on both sides of the equation: [tex]-a=p+b[/tex]
Next, subtract b on both sides of the equation, and your answer will be [tex]-a-b=p[/tex]
245% as a fraction in simplest form
The answer using Pythagorean theorem
h^2 = b^2+p^2
21^2 = 17^2+x^2
441 = 289 + x^2
441-289 = x^2
122 = x^2
square root of 122 is x.
therefore, x= 11.04536102.
Answer: 12.32 is the answer.
Step-by-step explanation: Using the pythagorean thereom we can solve this by using the formula A^2+B^2=C^2.
We substitute in the values,
17^2+B^2=21^2.
Now we simplify.
289+B^2=441
We subtract the 289 from both sides,
B^2=152
Now we use square root to find the answer.
12.32 is the answer.
Hope this helps!
Please help!! 10 extra points
13 POINTS Since the slope of a vertical line is undefined, is it possible for vertical lines to be parallel.
Answer:
Yes, it is possible for vertical lines to be parallel.
Step-by-step explanation:
If you have two vertical lines- say one at x=4 and one at x=5, the x coordinate will always equal either 4 or 5. Since 4 and 5 are not the same number, the two lines will never touch, making them parallel.
Vertical lines are considered parallel because they run straight up and down, do not intersect, and maintain the same distance apart, despite having an undefined slope.
Yes, it is possible for vertical lines to be parallel. By definition, parallel lines are two or more lines that never intersect and are always the same distance apart. While the slope of a vertical line is undefined because it would require dividing by zero (as there is no change in the x-value), this does not prevent vertical lines from being parallel. In fact, all vertical lines are parallel to each other because they all run straight up and down, and so they will never meet, regardless of the fact that we cannot assign them a numerical slope value.
An example of this can be seen when considering two vertical lines in a coordinate plane, such as x = 1 and x = 5. Both lines are straight up and down, they do not intersect, and the distance between them is consistent along their entire length, fulfilling the criteria for being parallel lines.
Four buses are available for a field trip Each bus hold 48 people write and solve. an equation that can be used to find the number of people the buses can hold.
Answer:
192
Step-by-step explanation:
4(48)=X
In order to find the amount of people per bus- 4p=192 or 192÷4=p
To find the amount of people total on the field trip- 48×4=t or [tex]\frac{t}{4}=48[/tex]
To find the number of buses used- 192÷48=b or [tex]\frac{192}{b} =48[/tex]
What equation represents this sentence?
18 less than the product of a number and 9 is 14.
18 - (9 x 14) This equation represents the sentence.
hope that helps :)
Leticia sets the thermostat in her apartment to 68 degrees. The actual temperature in her apartment can vary from this by as much as 3.5 degrees.
1.) Write an absolute-value equation that you can use to find the min. and max. temperature.
2.) Solve the equation to find the min and max
*please tell me how you got your answer*
The absolute-value equation representing the temperature variation in Leticia's apartment is |T - 68| = 3.5. Solving this, we have two possible temperatures: T = 71.5 (maximum) and T = 64.5 (minimum).
Explanation:The topic of this Mathematics question is absolute value equations. We want to find the minimum and maximum temperatures in Leticia's apartment which can vary from the set thermostat level by 3.5 degrees. The absolute-value equation that can be used to represent this is:
|T - 68| = 3.5
'T' represents the actual temperature.
To solve the equation, we need to consider two situations. When the inside part of the absolute value, (T - 68), is positive or equals to zero, we just drop the absolute symbol, resulting in T - 68 = 3.5. Solving this, we get T = 71.5.
If the inside part of the absolute value, (T - 68), is negative, we have T - 68 = -3.5. Solving this, we get T = 64.5.
So, the maximum temperature is 71.5 degrees and the minimum is 64.5 degrees.
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92 = -4(2r - 5)
r = ?
Help!
Hello there!
[tex]92 = -4(2r - 5)\\[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓
First you had to switch sides.
[tex]-4(2r-5)=92[/tex]
Then you divide by -4 from both sides of the equation.
[tex]\frac{-4(2r-5)}{-4}=\frac{92}{-4}[/tex]
Simplify
[tex]2r-5=-23[/tex]
Next you had to add by 5 from both sides of the equation.
[tex]2r-5+5=-23+5[/tex]
Simplify
[tex]2r=-18[/tex]
You can also divide by 2 from both sides of the equation.
[tex]\frac{2r}{2}=\frac{-18}{2}[/tex]
Simplify it should be the correct answer.
[tex]r=-9[/tex]
Answer⇒⇒⇒⇒⇒r=-9
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
First to get rid of the parantheses we must multiply -4 times any number inside of the parantheses.
92=-4(2r-5)
92=-8r+20
Next subtract 20 from both sides
92=-8r+20
72=-8r
Divide both sides by -8
72=-8r
72/-8=-8r/-8
-9=r
Our final answer is -9
Hope this helps!
determine the domain and range of the following continuous graphs
What graphs? There are none
plz answer :) i need help i will give heart and comment
The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesser number. Find the two numbers.
x - y = 15
2x + 8 = 3y - 4
Using the first equation, we can get an approximate value for x.
x = 15 + y
Now that we have a value for x, we can replace it in the second equation to find the value of y.
2(15 + y) + 8 = 3y - 4
Distributive property.
30 + 2y + 8 = 3y - 4
Combine like terms.
38 + 2y = 3y - 4
Subtract 2y from both sides.
38 = y - 4
Add 4 to both sides.
y = 42
Now that we have the value of y, we can find the value of x.
x - 42 = 15
Add 42 to both sides.
x = 57
Can anyone help me? I’m really stuck.
the answer for A is
7 1/2+8+6 3/4+5 1/2+6 1/4
the answer for B is
10.50 times 34/7 is equal to 51
2.
the answer for A is
9 hours, 50 minutes
the answer for B is
50.80
If y= 14 when x = 8, find y when x = 12
HI!
It's simple. If y = 14 when x = 8, you would divide 14 by 8, giving you 1.75. THen, you would multiply this with 12 to get your x value, 21.
Hope this helps!
Hey mate
Here's your answer
y varies directly as x:
y ~ x or can be also written as y = kx where k is a constant scalar value
given: y = 14 when x = 8
y = kx or
k = y/x = 14/8 = 7/4
k = 7/4
find x when y = 21
y = k*x
x = y/k = 21/(7/4) = 21 *4 /7 = 12
Hope it helps you!
Chloe has 26 1/4 yards of ribbon to wrap presents. She needs 3 3/4 yards for each present. How many presents can Chloe wrap?
Chloe could wrap 7 presents
Answer:
The answer above me is CORRECT
Step-by-step explanation:
I took a test with this exact answer, here is a photo with proof that I took it and this is the answer to it.
Have a nice day/night/afternoon.
Maddie...
Can someone help me plz
The amount received by me = $ x .
We are given " the amount she recives is 11 more than my amount" .
The amount of my friend's allowance is taken by the variavle y .
Therefore, we can repharse the given statement as :
" My friend's allowance y is 11 more than my allownace x" .
Now, we can seup an equation as:
y = 11 more than x.
Or
For " more than " pharase we would put a plus sign.
Therefore, y= x+11 is the final eqaution.
i am new at this. i am confused with this question
7th grade plans to raise double the 5th grade, 6th grade plans to raise 3/2 of 5th grade.
6th grade plans to raise 2/3 of 8th grade.
Answer:
look at whats being raised
Step-by-step explanation:
5+57+4+6+9+2+58+532+790+
Solve 5+57+4+6+9+2+58+532+790
The correct answer is 1463
sherman has 3 cats and 2 dogs.he wants to buy a toy for each of his pets. sherman has $22 to spend on pet toys.how much can he spend on each pet?write your answer as a fraction ans as an amount in dollars and cents
your correct answer is 4.27 so 4.27/22
Can somebody help me with this I need help ASAP
Answer:
D. 300/3 = 100
Step-by-step explanation:
He needs to divide the number by 3 since he is placing 3 erasers in each bag. He needs to divide 280 by 3. 280 divided by 3 is not a choice. The closest choice is 300/3, so that is the correct answer.
Twice the smaller of two numbers is one half of the large number. The larger number exceeds three times the smaller number by 10. Find the large number.
The larger number is 40. Smaller number is 10.
Let's denote the smaller number as [tex]\( x \)[/tex] and the larger number as [tex]\( y \)[/tex].
According to the problem:
1. "Twice the smaller of two numbers is one half of the larger number" can be represented as:
[tex]\[ 2x = \frac{1}{2}y \][/tex]
2. "The larger number exceeds three times the smaller number by 10" can be represented as:
[tex]\[ y = 3x + 10 \][/tex]
Now we can solve this system of equations. Let's start by substituting the second equation into the first:
[tex]\[ 2x = \frac{1}{2}(3x + 10) \][/tex]
Multiplying both sides of the equation by 2 to eliminate the fraction:
[tex]\[ 4x = 3x + 10 \][/tex]
Subtracting [tex]\( 3x \)[/tex] from both sides:
[tex]\[ x = 10 \][/tex]
Now, substitute [tex]\( x = 10 \)[/tex] into the second equation to find [tex]\( y \)[/tex]:
[tex]\[ y = 3(10) + 10 \][/tex]
[tex]\[ y = 30 + 10 \][/tex]
[tex]\[ y = 40 \][/tex]
So, the larger number is [tex]\( 40 \)[/tex].
Select all the possible solutions for 2x +7 < 3x-5
Solution :
We have to find all the possible solutions for the inequality [tex]2x+7<3x-5[/tex].
The given inequality can be solved as,
Subtracting 7 from both side , we get
[tex]2x+7-7 < 3x-5-7\\\\\Rightarrow 2x<3x-12[/tex]
Now, Subtracting 3x from both side, we get
[tex]2x-3x<3x-12-3x\\\Rightarrow -x <-12\\[/tex]
As we here we can see that both sides have similar sign, so we can cancel them out.
[tex]\Rightarrow x < 12[/tex]
Hence, the possible solution of the inequality [tex]2x+7<3x-5[/tex] is [tex]x< 12[/tex]
Write an expression for the following a. One more than twice a number b. A number decreased by 6 c. Two-thirds of a number
a= 1+2b, b=1-6, c=2/3d. Hope this helps, I used D as a number in C you don't have to use d.
Find the perimeter of the parallelogram whose vertices are at (-2, 0), (0, -2), (2, 0), and (0, 2).
The perimeter of the parallelogram is 8√2.
In order to find this, we need to find the length between any of the points. You'll notice that you can create a right triangle between each set of consecutive points. As a result, you can draw the legs and use the Pythagorean Theorem. In each case, the legs will equal 2. So we find the length of the side as
Leg^2 + Leg^2 = Side^2
2^2 + 2^2 = s^2
4 + 4 = s^2
8 = s^2
√8 = s
2√2 =s
Now to find the perimeter, we multiply this length by 4.
4 * 2√2 = 8√2
The perimeter of the parallelogram with vertices at (-2, 0), (0, -2), (2, 0), and (0, 2) is 8sqrt2 units.
Explanation:In order to find the perimeter of the parallelogram with vertices at (-2, 0), (0, -2), (2, 0), and (0, 2), you firstly need to calculate the distances between the vertices to determine the lengths of the sides. The formula to find the distance between two points (x1, y1) and (x2, y2) on a graph is given by sqrt((x2-x1)² + (y2-y1)²). If we apply this formula to our coordinates, we find that the lengths of the sides of the parallelogram are sqrt((0-(-2))² + (-2-0)²)) = 2sqrt2 and sqrt((2-0)² + (0-(-2))²)) = 2sqrt2. Since a parallelogram has two pairs of equal sides, we know that the four sides will have the same length. Therefore, the perimeter of the parallelogram is 4 * 2sqrt2 = 8sqrt2 units.
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Use the substitution method to solve the system of equations. Choose the correct ordered pair. 3x-y=3 y=2x+2
We have been given that
3x - y = 3 and
y = 2x + 2
Substitute y = 2x + 2 in the first equation, we get,
3x - (2x + 2) = 3
3x - 2x - 2 = 3
x - 2 = 3
x = 5
y = 2x + 2
= 2(5) + 2
= 12
Hence, the solution is (5, 12).
Answer:
B. (5,12)
Step-by-step explanation:
APEX
1. The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the fair. Henry spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use x to represent the number of ride tickets and y to represent the total cost.
(a) Find the cost of admission to the fair. Explain how you found the cost of admission.
(b) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.
(c) Explain what the coefficient of x and the constant of your linear equation represents.
Answer:
Answer:
A) $18
B) [tex]y=2.50x+18[/tex]
C) Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.
Step-by-step explanation:
(A)
The county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.
So, the total cost of the 15 tickets will be: [tex](\$2.50*15)=\$37.50[/tex]
He spent total $55.50 on ride tickets and fair admission.
So, the cost of admission to the fair will be: [tex](\$55.50-\$37.50)=\$18[/tex]
(B)
If [tex]x[/tex] represents the number of ride tickets and [tex]y[/tex] represents the total cost, then the cost for [tex]x[/tex] number of ride tickets is [tex]\$2.50x[/tex]
So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be: [tex]y=2.50x+18[/tex]
(C)
In the above linear equation, coefficient of x-term is 2.50, which represents the cost for each ride ticket.
And the constant term is 18, which represents the cost of admission to the fair.
Find the missing term.
The roots of x² − ( ) + 34 are 5 ± 3i.
[tex]x^2-?+34=(x-(5+3i))(x-(5-3i))\\\\x^2-?+34=(x-5-3i)(x-5+3i)\\\\x^2-?+34=(x-5)^2+9\\\\x^2-?+34=x^2-10x+25+9\\\\x^2-?+34=x^2-10x+34\\\\\boxed{?=-10x}[/tex]
Answer:
Actually is 10x
Step-by-step explanation:
-10x gives you -5±3i
Solve each component inequality and graph the solution
[tex]x > 2 and \: x - 1 \leqslant 10[/tex]
Solution: The value of x after solving both components is [tex]2<x\leq11[/tex] or [tex](2,11][/tex].
Explanation:
From the first component it is clearly noticed that the value of x is greater than 2.
Simplify the second component.
[tex]x-1\leq 10\\x\leq 11[/tex]
From the above inequality it is clearly noticed that the value of x is less than or equal to 11.
Solving both components we get [tex]2<x\leq11[/tex] and the graphical representation is shown in the figure.
The red portion shows the solutions of [tex]x>2[/tex], blue portion shows the solution of [tex]x-1\leq 10[/tex] and purple portion which combination of red and blue portion shows the solution of both inequalities.
Therefore, value of x after solving both components is [tex]2<x\leq11[/tex] or [tex](2,11][/tex].
last week a certain brand of hand lotion cost $3.00 for a 16-ounce bottle. this week the hand lotion is on sale for $2.40 for a 16-ounce bottle. which is the percent decrease in the price of the hand lotion?
A:16%
B:13%
C:20%
D:25%
please show work thank you.
Final answer:
The percent decrease in the price of the hand lotion is calculated by subtracting the sale price from the original price, dividing by the original price, and then multiplying by 100 to get the percentage. This results in a 20% decrease in price.
Explanation:
To find the percent decrease in the price of the hand lotion, we need to calculate the difference in price between the original and the sale price, then divide by the original price and multiply by 100.
Original price = $3.00
Sale price = $2.40
Price decrease = Original price - Sale price
Price decrease = $3.00 - $2.40
Price decrease = $0.60
Now, we calculate the percent decrease as follows:
Percent decrease = (Price decrease / Original price) x 100
Percent decrease = ($0.60 / $3.00) x 100
Percent decrease = 0.20 x 100
Percent decrease = 20%
The correct answer is C: 20%.