Answer:
Step-by-step explanation:
1) If you really meant X^2+12=40, then this simplifies to x^2 = 28, and therefore x = ±√28, or x = ±2√7.
2) If you meant X^2+12x=40:
a) Take half of the coefficient of x: that would be (1/2)(12), or 6.
b) Square this result, obtaining: 6² = 36
c) Add this 36 to x^2 + 12x + 40, and then subtract it: We get:
x² + 12x + 36 - 36 = 40, or x² + 12x + 36 = 76
We have to add 36, as indicated above, to "complete the square."
Find the quotient. 7,398 ÷ 6 *
can someone help me plz.
Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range
Question:
Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range. Calculate s for the data 4, 1, 3, 10, 2.
Answer:
(a)
[tex]Mean = 4[/tex]
[tex]Median=3[/tex]
[tex]Mean > Median[/tex]
(b)
[tex]IQR = 2[/tex]
[tex]SD = 3.2[/tex]
[tex]SD> IQR[/tex]
Step-by-step explanation:
Given:
Data: 4, 1, 3, 10, 2.
Solving (a): The mean and the Median
The mean is calculated as follows:
[tex]Mean = \frac{1}{n} \sum x[/tex]
Where
[tex]n = 5[/tex] i.e 5 data
So, the expression becomes:
[tex]Mean = \frac{1}{5}(4 + 1+3+10+2)[/tex]
[tex]Mean = \frac{1}{5}(20)[/tex]
[tex]Mean = 4[/tex]
Calculating the Median:
First, arrange the order (ascending order):
[tex]Data: 1, 2,3,4,10[/tex]
Because n is odd
The median is represented as:
[tex]Median = (\frac{n+1}{2})th\ item[/tex]
[tex]Median = (\frac{5+1}{2})th\ item\\[/tex]
[tex]Median = (\frac{6}{2})th\ item[/tex]
[tex]Median = 3rd\ item[/tex]
From the arranged data, the 3rd item is 3.
Hence:
[tex]Median=3[/tex]
By comparison, the mean is greater than the median because [tex]4 > 3[/tex]
Solving (b): Standard Deviation and IQR
The standard deviation is calculated as follows:
[tex]SD= \sqrt{\frac{\sum (x_i - Mean)^2}{n}[/tex]
So, we have:
[tex]SD= \sqrt{\frac{(4 - 4)^2+(1 - 4)^2+(3 - 4)^2+(10 - 4)^2+(2 - 4)^2}{5}[/tex]
[tex]SD= \sqrt{\frac{(0)^2+(- 3)^2+(- 1)^2+(6)^2+(-2)^2}{5}[/tex]
[tex]SD= \sqrt{\frac{0+9+1+36+4}{5}[/tex]
[tex]SD= \sqrt{\frac{50}{5}[/tex]
[tex]SD= \sqrt{10}[/tex]
[tex]SD = 3.2[/tex]
Calculating IQR
[tex]IQR = Q_3 - Q_1[/tex]
[tex]Data: 1, 2,3,4,10[/tex]
In (a), we calculate the median as:
[tex]Median=3[/tex]
First, we calculate [tex]Q_1[/tex]
[tex]Q_1 = Median\ of\ the\ first\ half.[/tex]
The first half is:
[tex]First\ Half = 1,2,3[/tex]
So:
[tex]Q_1 = 2[/tex]
First, we calculate [tex]Q_3[/tex]
[tex]Q_3 = Median\ of\ the\ second\ half.[/tex]
[tex]Second\ Half = 3,4,10[/tex]
So:
[tex]Q_3 = 4[/tex]
Recall that:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 4 - 2[/tex]
[tex]IQR = 2[/tex]
So, we have:
[tex]IQR = 2[/tex]
[tex]SD = 3.2[/tex]
By comparison, the standard deviation is greater than the IQR because:
[tex]3.2 > 2[/tex]
So,
[tex]SD> IQR[/tex]
write th fraction 12/15 in its simpliest form
Answer:
4/5
Step-by-step explanation:
Common factor is 3 so,
if you divide 12/15 by 3, then it will equal to 4/5
Answer:
4/5
Step-by-step explanation:
3 because thats what they have in common so devide both by 3 to get the answer
Please help me answer this!!!
Can someone help me please this is due? ASAP
Answer:
x=12
Step-by-step explanation:
since they are supplementary they will have a sum of 180 degrees
The equation should look like this- (5x+4)+(4x+80)=180
after solving the equation- you get x=12
in order to see if that is correct you would plug in 12 where x is in our equation (5x+4)+(4x+80). which does equal 180 when 12 is plugged in
Therefore, 12 is your answer
On Thursday, a local hamburger shop sold a combined total of 348 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Thursday?
Answer:
116 hamburgers
Step-by-step explanation:
divide 348 by 3. since cheese burgers were sold two times more than hamburgers, the answer would be 116.
Which of the following processes in the water cycle causes the formation of clouds?condensation evaporation infiltration transpiration
It is A: Condensation.
Condensation is the process by which water vapor in the air is changed into liquid water. Condensation is a apart of the water cycle because it is responsible for the formation of clouds.
help me please i’m failing lol
16) k=176 hope you get to a point were your not failing
multiply : (8)(-5)
honestly, if this question was easy to answer ima cry-
Answer:
-40
Step-by-step explanation:
please do not cry
What expression is equivalent to 30 divided (3 + x)
Answer:
10+x/3
Step-by-step explanation:
Find the volume of the rectangular prism.
The volume of the rectangular prism is
centimeters cubed.fill in the blank
help this is due soon but i can’t figure this out. i don’t remember being taught this
Step-by-step explanation:
Given
Volume (V) = 313 in³
π = 3.14
Height (h) = 16 in
Radius (r) = ?
We know.,
Volume of cone (V)
[tex]313 = \frac{1}{3} \pi {r}^{2}h [/tex]
[tex]313 \times 3 = 3.14 \times 16 \times {r}^{2} [/tex]
[tex]939 = 50.24 {r}^{2} [/tex]
[tex]18.69 = r^{2} [/tex]
[tex]r = \sqrt{18.69} [/tex]
r = 4.32 in
[tex]( hope \: it \: will \: help})[/tex]
7/8 - 1/4=
Explain how you got your answer
Answer:5/8
Step-by-step explanation: transform the expression 8 so 7-2/8 =5/8
Answer:
5/8.
Step-by-step explanation:
a dragster accelerates from rest to 135 mph in 9 seconds. calculate the dragsters rate of acceleration
Help meeeeeeeeeeplease
Answer:
The answer is 8/5. Hope you do great!:)
Step-by-step explanation:
BRAINLIEST: the Spanish club sold homemade tamales to raise money for field trips their goal was to raise $400. on the first day, they made $100 the second day their sales totaled $143 how much money did the Spanish club need to make to reach their goal after the first two days of sales?
Answer:
the correct answer is 257
20 POINTS!!!
Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Write the inequality and show all work to solve the inequality.
Graph the solution to your inequality on a number line.
Explain what your solution means in the context of the problem.
Answer:
you should put 20 points if you answer the question+ brainliest. if you dont people will think its free for example. I have a question you can answer to get your points back, just say something random. Sorry I couldnt help you but thanks for the points.
Step-by-step explanation:
If two angles are supplementary then they add to 180...Whats the converse inverse and contrapositive
Answer:
Converse: If two angles are supplementary then they add up to 180 degrees.
Inverse: If two angles are not supplementary then they do not add up to 180 degrees.
Contrapositive: If angles do not add up to 180 degrees, then the two angles are not supplementary.
Step-by-step explanation:
In logic the converse of an implication is obtained by reversing its two constituent statements. That is, for P → Q, then the converse is Q → P.
The inverse of a conditional statement involves the negation of both the hypothesis and conclusion. That is, for p → q, the Inverse is ~p → ~q note that ~ stands for NOT in the negation of the statement.
For a contrapositive of any conditional statement, we interchange the hypothesis and the conclusion of the inverse statement as shown in statement III in the answer above.
Dan earns £292 over the course of a five-day week. How much is that per day?
Answer:
58.40
Step-by-step explanation:
292 ÷ 5 = 58.40
hope this helps...
Answer:
58.40
Step-by-step explanation:
292 divided by 5 = 59.40
A bird in the sky flies down.
It starts 700 feet above the ground.
Each second it gets 15 feet lower.
Answer:
Step-by-step explanation:
What is the rest of the equation? I will edit/fix the answer after you finish the equation.
Determine the value of x.
4x + 20% 2x + 60%
(A) X= 10°
(B) x = 20°
(C) X= 30°
(D) x = 40°
Combine this Polynomial:
(19x^2+12x+12)+(7x^2+10x+13)
A)26x^4 + 22x^2 + 25
B)26x^2 + 22x + 25
C)73x
D)73x^6
Answer: C) 26^2 + 22 + 25
Step-by-step explanation:
Eliminate the parentheses
Add the numbers
19^2+12+25+7^2+10
Combine Like Terms
26^2+12+25+10
Answer:
26^2+22+25
2x^2-8x (please can you help me do this question quick) :)
Answer:
Step-by-step explanation:
[tex]2x^2-8x=2x times 2x-8x=4x-8x=-2x[/tex]
Hope this helps :)
Then,fill in the blank to add these numbers below
Answer:
the 1st number line and 29
Step-by-step explanation:
The second one starts at 21 and takes away which gives 13. which isnt the answer. When adding numbers, you go forward
Factor: 42c²+24c
pls help
Answer:
6c out of 42c^2 + 24c
6c(7c+4)
Step-by-step explanation:
2. 6x + 29 = 5 (1 point)
-4
-18
204
-144
Answer:
x = -4
Step-by-step explanation:
6x + 29 = 5
+29 -29
------------------------
6x = -24
÷6 ÷6
---------------
x = -4
6(-4) = -24 + 29 = 5
which if the following are characteristics of the graph of the quadratic parent function
Answer:
A, C, D
Step-by-step explanation:
Solve: 3 1/2 - 1 2/3 =
Answer:
Exact Form:
11/6
Decimal Form:
1.83
Mixed Number Form:
1 5/6
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Plz plz help me out pllllllzzz it’s all most due
Answer:
1. D. 150%
2. C. 37.19
Step-by-step explanation:
hope this helps!