Answer:
272
Step-by-step explanation:
calculator
Find the value of x.
B
X+5
4
D
E
2x
3
А
x = [?]
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
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]
help plz will mark brainliest 100 point assignment
Answer:
The fourth answer, WBD is correct.
Step-by-step explanation:
As you can see the three points W, B and D all fall on the same line, which means that they are indeed colinear.
Answer:
W, B and D all fall on the same line, which means that they are indeed colinear.
Step-by-step explanation:
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?
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
I need help with this ASAP
Answer:
it is D
since 6 percent of people infected by 10 day
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
Answer:
b. 1 foot 5 inches
Step-by-step explanation:
because one foot is 12 inches
Using the image above name a 1 pair of each of the following ! Do I have it correct?
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.
I need the answer ASAP plz
[(5+3 to the power 2]}- 4 to the power 2+ 2] divided by 7
Answer:
8
Step-by-step explanation:
Use PEMDAS.
P-Parenthesis/Brackets
E-exponents
M-multiply
D-divide
A-add
S-subtract
Someone help with this pls and answer all of them!!
Classify angle X Y Z. please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!! (Last option is Isosceles triangle) !!!!!!!!!
Answer:
its C
Step-by-step explanation:
Find the value of the expression
m + m + 9
for m = 4, n = 3, and r= 1.
Answer:
17
Step-by-step explanation:
both m's substitute for 4
4+4+9
8+9
17
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
Answer: $720.10
Step-by-step explanation:
I got this by adding the prices all together
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
take off discount and find the sale price of 15%off of $60.00
discount sale price
Answer:
15% off of $60.00 would be $51.00
Step-by-step explanation:
(15 x 15) / 100 = 9
60-9=51
</3 PureBeauty
help plsss someone asap, i’ll mark as brainliest if correct!
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.
What is the difference between –11x – 2 and 13x + 5?
24x + 7
-24x + 7
24x + 3
-24x - 7
____________________________
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]____________________________
Exponential & Logarithmic Functions
Please Help ASAP! The question is in the picture.
Sam purchases a house for $150,000 near Thurmond Lake. The value of houses in the area where the house was purchased is averaging an increase of 7% per year.
What would be the growth factor (multiplier)?
If the trend continues how much would the house be worth 12 years after Sam purchased the house?
Answer:
What would be the growth factor (multiplier)?
Continuously compounded:
e or 2.718.
Simple interest:
1.84
If the trend continues how much would the house be worth 12 years after Sam
purchased the house?
Continuously compounded:
$347,455.05
Simple interest:
$276,000.00
_______________
Step-by-step explanation:
I need help with a geometry problem
#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]
32^x^+^2=2^x
Find the value of x
Please explain/show work
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
Find the rate of change
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.
What is the quotient of d⁴-6d³+d+17÷d-2
Answer:
d^4-6d^3+d+17/d-2
A bit complicated, sorry about that.
Find the measures of the interior angles.
X = 26 degrees
Step-by-step explanation:
84+ 70=154
180-154= 26
What is the length of diagonal BD?
Answer: My answer would be 7.6
Step-by-step explanation: Hope this is correct.
Select that all apply.
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
What is the volume of this cube?
Answer:
1
Step-by-step explanation:
volume= base•width•hight
Answer:
1 cubic centimeter
Step-by-step explanation:
1 x 1 x 1 = 1
. 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?
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
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
HELP ME PLEASE!!!!
Select the correct answer.
Solve this inequality for x: -46 − 8x > 22.
A.
x -8.5
D.
x > 8.5
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
In triangle ABC, DEAC. If AD=12, BD=3, and CE=10, find BE.
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