Answers
Answer:
X = 9.2
Step-by-step explanation:
You have to use the pythagorean theorm, which is a squared + b squared = c squared. Looking at the triangle, the vertical line is 6, and the horizontal is 7.
6squared + 7squared = c squared
85 = csquared
Take the square root of both sides to get rid of the squared on the c.
sqroot of 85 = 9.2
Related Questions
Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range
Answers
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]
Find the measures of the interior angles.
Answers
X = 26 degrees
Step-by-step explanation:
84+ 70=154
180-154= 26
26
Explanation:
All triangles angles if summed up equal 180 degrees
So 84 + 70 = 154
180 - 154 = 26
The number 299 is divided into two parts in
the ratio 5:8. The product of the numbers
(A) 21140
(C) 21160
(B) 21294
(D) 31294
Answers
what is 0.375 as a fraction
Answers
Answer:
3/8 because 1/8 is .125 multiply by 3 and u get .375 aka 3/8
take off discount and find the sale price of 15%off of $60.00
discount sale price
Answers
Answer:
15% off of $60.00 would be $51.00
Step-by-step explanation:
(15 x 15) / 100 = 9
60-9=51
</3 PureBeauty
skskksksks
Lenny bought a motorcycle. He paid 12.5% in tax. The tax added 1437.50 to the price of the motorcycle what was the price of the motorcycle not including the tax
Answers
Answer:
Amount of motorcycle = $11,500
Step-by-step explanation:
Given:
Tax rate = 12.5 % = 0.125
Amount of tax = $1,437.50
Find:
Amount of motorcycle
Computation:
Amount of motorcycle = [Amount of tax ] / Tax rate
Amount of motorcycle = [1,437.50] / 0.125
Amount of motorcycle = $11,500
the home plate at a baseball game measures 17 inches across what is the measurement in feet and inches?
a. 1 foot 7 inches
b. 1 foot 5 inches
Answers
Answer:
b. 1 foot 5 inches
Step-by-step explanation:
because one foot is 12 inches
What is the length of diagonal BD?
Answers
Answer: My answer would be 7.6
Step-by-step explanation: Hope this is correct.
. A gym charges $25 a month membership fee. The cost of a personal trainer is $15 per session.
If p represents the number of personal training sessions used and c represents the total
charges at the end of the month, what finear equation can be used to determine a user's
monthly bill?
Answers
Using the image above name a 1 pair of each of the following ! Do I have it correct?
Answers
Answer:
2 is wrong. That is a vertical angle not a linear pair. A linear pair would be 6 and 7.
Step-by-step explanation:
Everything else is correct.
Someone help with this pls and answer all of them!!
Answers
7 is -3 + 1
10 is -0.25y + 4
Chi has a big pile of nickels. He says, “Even if I use 100 of these nickels, I’ll still have 95% of my original pile.” How many nickels does Chi have?
Answers
Answer:
2000
Step-by-step explanation:5%= 100 nickels
1%= 20 nickels
20 x 100 = 2000
Answer:
2,000
Step-by-step explanation:
If 5%=100 nickels , then 20x100=the number of nickels Chi has.
20x100=2,000
What is the volume of this cube?
Answers
Answer:
1
Step-by-step explanation:
volume= base•width•hight
Answer:
1 cubic centimeter
Step-by-step explanation:
1 x 1 x 1 = 1
What is the difference between –11x – 2 and 13x + 5?
24x + 7
-24x + 7
24x + 3
-24x - 7
Answers
____________________________
1.) Find the opposite of 13x + 5:To find the opposite of 13x+5, find the opposite of each term.[tex]13x=-13x[/tex][tex]5=-5[/tex]- We do this because when solving this they are in parenthesis, so you must get rid of the parenthesis by turning them negative.
Equation at the end of Step 1:
[tex]-11x-2-13x-5[/tex]2.) Combine −11x and −13x:[tex]-11x+-13x=-24x[/tex]- We do this since we can only have on variable at the end of the problem, so you just combine them if they have the same variable base.
Equation at the end of Step 2:
[tex]-24x-2-5[/tex]3.) Subtract 5 from −2:[tex]-2-5=-7[/tex]- We do this because we need one number left over to get a simplified version of this equation.
Equation at the end of Step 3:
[tex]-24x-7[/tex]____________________________
Find the value of the expression
m + m + 9
for m = 4, n = 3, and r= 1.
Answers
Answer:
17
Step-by-step explanation:
both m's substitute for 4
4+4+9
8+9
17
[(5+3 to the power 2]}- 4 to the power 2+ 2] divided by 7
Answers
Answer:
8
Step-by-step explanation:
Use PEMDAS.
P-Parenthesis/Brackets
E-exponents
M-multiply
D-divide
A-add
S-subtract
Find the value of x.
B
X+5
4
D
E
2x
3
А
x = [?]
Answers
Answer:
x = 3
Step-by-step explanation:
Δ BDE and Δ BAC are similar triangles, thus the ratio of corresponding sides are equal, that is
[tex]\frac{BD}{BA}[/tex] = [tex]\frac{BE}{BC}[/tex], substitute values
[tex]\frac{x+5}{3x+5}[/tex] = [tex]\frac{4}{7}[/tex] ( cross- multiply )
4(3x + 5) = 7(x + 5) ← distribute parenthesis on both sides )
12x + 20 = 7x + 35 ( subtract 7x from both sides )
5x + 20 = 35 ( subtract 20 from both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Classify angle X Y Z. please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!! (Last option is Isosceles triangle) !!!!!!!!!
Answers
Answer:
its C
Step-by-step explanation:
find the equation of the straigt line
if you are correct then ill give you brainliest answer!
Answers
Given :
A graph with a straight line on it.
To Find :
The equation of the line.
Solution :
From the given graph we can see that the line passes through point ( 0,6 ) and ( 4,10 ) .
Also, equation of line passes through two points [tex](x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex] is :
[tex]y - y_1 = (\dfrac{y_2-y_1}{x_2-x_1})( x - x_1)[/tex]
Putting all given values, we get :
[tex]y - 6 = (\dfrac{10-6}{4-0})( x -0)\\\\y - 6 = x\\\\y -x = 6[/tex]
Therefore, the equation of line is y - x = 6 .
Find the total monthly cost for this plan to buy.
Loan Rate Insurance Repairs
Gas
Extra Miles
Misc.
Total Cost
$470.60
$125.00
warranty $69.00 $0.00
$55.50
Answers
Answer: $720.10
Step-by-step explanation:
I got this by adding the prices all together
I need the answer ASAP plz
Answers
In triangle ABC, DEAC. If AD=12, BD=3, and CE=10, find BE.
Answers
Answer:
BE = 2.5
Step-by-step explanation:
Remark
Use triangles ABC and DEB.
Formula
AB/DB = BC / BE
Givens
AB = 15BD = 3BC = 10 + xBE = xSolution
15/3 = (10 + x)/x Cross multiply
15x = 3(10 + x) Remove the brackets
15x = 30 + 3x Subtract 3x from both sides.
15x - 3x = 30 Combine
12x = 30 Divide by 12
x = 30/12
x = 2.5
Find the rate of change
Answers
Answer:
non linear
Step-by-step explanation:
you can see it doesnt go up a specific number each time, aka changes each time, therefor its non linear
Answer:
2
Step-by-step explanation:
Use the method
Change in output / Change in input
The input progresses by 1, and y progresses by 2.
We will plug the numbers in.
2/1
Then simplify.
2/1 = 2
Hence, the rate of change is 2.
I need help with a geometry problem
Answers
#1
[tex]\\ \tt\hookrightarrow 3x+5=1/2(2x+15+6x-37)[/tex]
[tex]\\ \tt\hookrightarrow 6x+10=8x-22[/tex]
[tex]\\ \tt\hookrightarrow 2x=32[/tex]
[tex]\\ \tt\hookrightarrow x=16[/tex]
#2
[tex]\\ \tt\hookrightarrow 7x+2+25x-14=180[/tex]
[tex]\\ \tt\hookrightarrow 32x-12=180[/tex]
[tex]\\ \tt\hookrightarrow 32x=192[/tex]
[tex]\\ \tt\hookrightarrow x=6[/tex]
I need help with this ASAP
Answers
Answer:
it is D
since 6 percent of people infected by 10 day
32^x^+^2=2^x
Find the value of x
Please explain/show work
Answers
Answer:
taking log on both side
(x+2)log(32) = xlog(2)
product rule you can use out here U.V formula after that it will give you answer
What is the quotient of d⁴-6d³+d+17÷d-2
Answers
Answer:
d^4-6d^3+d+17/d-2
A bit complicated, sorry about that.
help plsss someone asap, i’ll mark as brainliest if correct!
Answers
Answer:
A.) y=x-2
Step-by-step explanation:
Each value in the "x" section is 2 numbers less than its corresponding number in the "y" section.
HELP ME PLEASE!!!!
Select the correct answer.
Solve this inequality for x: -46 − 8x > 22.
A.
x -8.5
D.
x > 8.5
Answers
Answer:
x < - 8.5
Step-by-step explanation:
Given
- 46 - 8x > 22 ( add 46 to both sides )
- 8x > 68
Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity
x < - [tex]\frac{68}{8}[/tex] , that is
x < - 8.5
Answer:
x < - 8.5
I hope this helps
Select that all apply.
Answers
Answer:
C. ASA E. AAS B. HA
Step-by-step explanation:
ASA - The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
AAS - If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.
HA - If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent.
Answer:
c.asa
Step-by-step explanation:
only C. asa tgat correct answer