Answer:
Option E - sigma greater than or equal to $327
Step-by-step explanation:
In this question, we are testing whether the standard deviation of the base price of a certain type of all-terrain vehicle is at least $327.
Now, standard deviation is denoted by the symbol sigma(σ). Since the test is saying it should be at least $327, it means it should either be equal to $327 or greater than $327.
Thus, we would use the symbol ≥ which means "greater than or equal to".
Thus, the claim as a mathematical statement would be;
sigma greater than or equal to $327
i need help with this problem
Answer:
367.57 in³
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]V = h\pi r^2[/tex], where V is the volume, h is the height, and r is the radius. The picture shows you that r = 3 in and h = 13 in.
Plug these into the formula to find the answer:
[tex]V = (13)\pi 3^2=(13)(9)\pi =117\pi => 367.566[/tex]
Round that to the nearest hundredth to get 367.57. The units for the answer should be in cubic inches.
For the surface area, imagine laying the cylinder out. You'd see two circles, for the top and bottom, and then a rectangle, which is the side. The formula is A=2πrh+2πr². Try to do this yourself! You only need to plug in the values: r = 3 in and h = 13 in.
First, get the variable on the left–hand side of the equation by subtracting 22x from both sides to get x − 56 = −65. Next, use the property of equality to isolate the variable.
Answer:
variable x has value = -9
Step-by-step explanation:
x − 56 = −65
we have to isolate x by separating it from 56 by using property of equality.
to isolate x, we add 56 on both sides of equation.
x − 56 + 56 = −65 + 56
=> x = -9
Thus, variable x has value = -9
Please help!!!!!!!!!
All we need to do is substitute and solve.
A = P(1 + rt)
A = 5,100(1 + 0.035*60)
A = 5,100(3.1)
A = 15,810
Therefore, the answer is [ $15,810 ]
Best of Luck!
Find the midpoint of the segment between the points (15,−9) and (−2,−18) A. (172,92) B. (13,−27) C. (132,−272) D. (−13,27)
Answer:
from my calculation, the answer is B
The midpoint of the segment between the points (15,−9) and (−2,−18) will be (−13/2, −27/2). Then the correct option is C.
What is the midpoint of line segment AB?Let C be the mid-point of the line segment AB.
A = (x₁, y₁)
B = (x₂, y₂)
C = (x, y)
Then the midpoint will be
x = (x₁ + x₂) / 2
y = (y₁ + y₂) / 2
The midpoint of the segment between the points (15,−9) and (−2,−18) will be
x = (15 – 2) / 2
x = –13 / 2
y = (–9 – 18) / 2
y = –27/2
Then the correct option is C.
More about the midpoint of line segment AB link is given below.
https://brainly.com/question/17410964
#SPJ5
complement of 0.7253
Answer:
Step-by-step explanation:
if it is converting its 7253/10000
to percent 72.53
scientific notation is 7.253 *10-1 the -1 is on top of the 10
Please Help multiple choice! Brainlest toooo babyyy
Answer:
C and D
Step-by-step explanation:
We want to find the equations where b=11 is a solution. Let's test each answer. choice. Plug 11 in for b and solve.
A. 2b= 211
2(11)=211
Multiply 2 and 11.
22≠211
22 does not equal 211, therefore this choice is not correct.
B. b+18=7
11+18=7
Add 11 and 18.
29 ≠ 7
29 does not equal 7, so this is not correct.
C. 77=7b
77=7(11)
Multiply 7 and 11.
77=77
77 does equal 77, so this is correct.
D. 9=b-2
9=11-2
Subtract 2 from 11.
9=9
9 equals 9, so this correct too.
E. 11=33/b
11=33/11
Divide 33 by 11.
11≠3
11 does not equal 3, so this is not the right choice.
b= 11 is a solution for C. 77-7b and D. 9=b-2
What is the base 10 representation of 11102?
Answer:
14 in base 10.
Step-by-step explanation:
working from right to left we have:
0 + 1*2 + 1*2^2 + 1*2^3
= 0 + 2 + 4 + 8
= 14.
Answer:
14
Step-by-step explanation:
trust me
What property is illustrated by (2x)y = (2y)x?
Answer:
Commutative property
Step-by-step explanation:
In the Commutative property,the sequence or the order of factors of product does not change the value of the product.
Example:
in
12*5 = 5*12
also 12 = 3*4
(3*4)5 = (3*5)4
_____________________________
given
(2x)y = (2y)x
here it can be written as
(2*x)*y = (2*y)*x
removing the bracket for LHS we have
2*x*y ,
applying Commutative property and changing order of x and y
2*x*y = 2*y*x
now again putting the bracket after first two terms
(2x)y = (2y)x
Thus, the expression illustrates Commutative property.
Write the equation of the line that passes through (-3,5) and (2, 10) in slope-intercept form. (2 points)
Y=x+8
Y=x-8
Y=-5x-10
Or
Y=-5x+20
WILL GIVE BRAINLIEST!✨
Answer:
y=x+8
Step-by-step explanation:
First you use the points (-3,5) and (2,10) to find the slope and you use the equation y2-y1/x2-x1.
So that gives you 10-5/2-(-3) which equals 1 (that's the slope)
Next you take one set of the points say (2,10) and then plug those numbers into the y=mx+b equation so you have x (2) and y (10) and the slope is m (1).
That gives you 10=1(2)+b
multiply 1*2 and you get 2 and then subtract 2 from both sides to isolate b and then b=8 and that gives you the answer
y=1x+8 or y=x+8
A roast requires 3 hours and 40 minutes in the oven to be cooked. In order to have the roast ready
to serve at 6:30 PM, it must be put into the oven at
Answer:
2:50 PM
Step-by-step explanation:
Step 1: State what is given
Roast takes 3 hours and 40 minutes or 220 minutes
Need the roast to be done by 6:30 PM
Step 2: Subtract 3 hours from 6:30
6:30 - 3:00
3:30 PM
Step 3: Subtract 40 minutes from 3:30
3:30 - 40
2:50 PM
Therefore the roast needs to be put into the oven at 2:50 PM
In a random sample of mobile devices, the mean repair cost was $ and the standard deviation was $. Assume the population is normally distributed and use a t-distribution to find the margin of error and construct a % confidence interval for the population mean. Interpret the results. The % confidence interval for the population mean is ( nothing, nothing). (Round to two decimal places as needed.)
Complete Question
In a random sample of
five mobile devices, the mean repair cost was $75.00 and the standard deviation was $11.50
Assume the population is normally distributed and use at-distribution to find the margin of error and construct a 95%
confidence interval for the population mean. Interpret the results.
Answer:
The margin of error is [tex]E = 10.1[/tex]
The 95% confidence interval is [tex]64.9 < \mu < 85.1[/tex]
Step-by-step explanation:
From the question we are told that
The sample mean is [tex]\= x = \$ 75.00[/tex]
The standard deviation is [tex]\sigma = \$ 11.50[/tex]
The sample size is n = 5
Given the that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = 100 -95[/tex]
[tex]\alpha = 5\%[/tex]
[tex]\alpha = 0.05[/tex]
Next we obtain the critical value of [tex]\frac{ \alpha }{2}[/tex] from the normal distribution table, the value is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{ \sqrt{n} }[/tex]
substituting values
[tex]E = 1.96* \frac{11.50 }{ \sqrt{5} }[/tex]
[tex]E = 10.1[/tex]
The 95% confidence interval is mathematically represented as
[tex]\= x - E < \mu < \= x + E[/tex]
substituting values
[tex]75 - 10.1< \mu < 75 + 10.1[/tex]
[tex]64.9 < \mu < 85.1[/tex]
Which expression is equal to 8/11 A. 8 ÷ 11 B. 11 ÷ 8
Answer:
A
Explanation
8/11 = 8 ÷ 11
BRAINLIEST PLEASE
plz answer this rnnn plzz will mark a brainliest. it is two pictures.
Answer:
(-1/4, -5 3/4) or (-0.25, -5.75)
Step-by-step explanation:
find the midpoint of the line joining A(3,5) and B(1,3).
Answer:
[tex] \boxed{ \boxed{ \bold{ ( \: 2 , \: 4 \: )}}}[/tex]Step-by-step explanation:
Given,
A ( 3 , 5 ) ⇒( x₁ , y₁ )
B ( 1 , 3 )⇒( x₂ , y₂ )
Let's find the midpoint of the line:
[tex] \sf{ (\frac{x1 + x2}{2} \: , \frac{y1 + y2}{2}) }[/tex]
plug the values
⇒[tex] \sf{( \frac{3 + 1}{2} \: , \frac{5 + 3}{2} )}[/tex]
Add the numbers
⇒[tex] \sf{( \frac{4}{2} \: , \frac{8}{2} )}[/tex]
Calculate
⇒[tex] \sf{(2 \:, 4 \: )}[/tex]
Hope I helped!
Best regards!
The following is a list of 5 measurements. 20,10,13,11,20 Suppose that these 5 measurements are respectively labeled.
Answer:
1190
Step-by-step explanation:
Here, you need to add the squares of the measurements.
20² + 10² + 13² + 11² + 20² =
= 400 + 100 + 169 + 121 + 400
= 1190
Math- Differentiation . Could you help me to solve this question?
Answer:
Step-by-step explanation:
Hello, first of all we can find a value for f(1)
[tex]xf(x)+f(x^2)=2 \\\\\text{So for x = 1, it gives}\\\\f(1)+f(1^2)=f(1)+f(1)=2f(1)=2\\\\<=> f(1) =1[/tex]
And we can get the derivative of the equation so.
[tex](uv)'=u'v+uv' \text{ and } \dfrac{df(x^2)}{dx}=2xf'(x^2) \text{ so we can write}\\\\f(x)+xf'(x)+2xf'(x^2)=0\\\\\text{And then, for x = 1}\\\\f(1)+f'(1)+2f'(1)=0\\\\<=> f(1)+3f'(1)=0\\\\<=> 3f'(1)=-f(1)=-1\\\\<=>\large \boxed{ f'(1)=-\dfrac{1}{3} }[/tex]
Thank you
Question 2
Which set of coordinates could be points on the graph of a function?
A (-2,2), (1,1),(1,4),(2,5)
B (-1,1),(1,1),(2,2), (2,5)
C (-1,2), (0,1),(1,2), (2,5)
D (1.2). (1,3), (1,5),(1,6)
Step-by-step explanation:
I think no. C is the answer. Please let me know by comment I am wrong or right
Answer:
C
Step-by-step explanation:
A set of coordinates is a function if and only if one input does not map onto two or more different outputs.
In other words, given (x,y), x should each have one distinct y. If an x has 2 or more y, then the y must be the same value.
Choice A:
We see that it has the pairs (1,1) and (1,4). 1 maps onto both 1 and 4, so this is not a function.
Choice B:
Again, we see that it has the pairs (2,2) and (2,5). 2 maps onto both 2 and 5, so this also isn't a function.
Choice C:
In this set, no x are repeated. Thus, this is a function.
Choice D:
In this set, we have the x repeated four times, with 1 mapping onto 2, 3, 5, and 6. Thus, this is not a function.
So, our answer is C.
Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books that he purchases in a year.
Answer:
27.50
Step-by-step explanation:
The miles-per-gallon rating of passenger cars is a normally distributed random variable with a mean of 33.8 mpg and a standard deviation of 3.5 mpg. a) What is the probability that a randomly selected passenger car gets more than 37.3 mpg
Answer:
The probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.
Step-by-step explanation:
Let the random variable X represent the miles-per-gallon rating of passenger cars.
It is provided that [tex]X\sim N(\mu=33.8,\ \sigma^{2}=3.5^{2})[/tex].
Compute the probability that a randomly selected passenger car gets more than 37.3 mpg as follows:
[tex]P(X>37.3)=P(\frac{X-\mu}{\sigma}>\frac{37.3-33.8}{3.5})[/tex]
[tex]=P(Z>1)\\\\=1-P(Z<1)\\\\=1-0.84134\\\\=0.15866\\\\\approx 0.1587[/tex]
Thus, the probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.
please help asap!
a. if the input is -8, what is the output?
b. if the output was 21, what was the input?
Answer:
a. 45
b. -4
Step-by-step explanation:
f(x) = -6(-8) - 3
f(x) = 48 - 3 = 45
21 = -6x - 3
24 = -6x
-4 = x
When Marissa started work, she was given two paid days of vacation. For each four month period she stays at the job, her vacation is increased by one day. How much vacation time will she have after working for 6.5 years? Clearly show your work.
The correct answer is 21.5 days
Explanation:
We know Marissa has two paid days of vacation plus 1 day for every four months she works. In this context, the first step is to find how much paid days of vacation she will have for working 6.5 years and add this to the 2 paid days of vacation she was given when she began to work. The steps are shown below:
1. Find the number of months in 6.5 by considering each year has 12 months and half year (0.5) is equivalent to 6 months
6 (number of years) x 12 months = 72 months
0.5 year = 6 months
72 months + 6 months = 78 months (Total of months in 6.5 years)
2. Divide the total of months into 4 considering every 4 months Marissa is given one paid day of vacation.
78 months ÷ 4 = 19.5 days (number of paid days of vacation for working 6.5 years)
Finally, add this result to the two paid days initially given 19.5 days + 2 days = 21.5 days
Which table represents a function?
Answer:
The first table represents a function.
Explanation:
This is a function because "x" does not have more than one number corresponding "y".
I need help with this math question (complex fractions and rational expressions). For the answer, I need a step-by-step explanation so I can understand it, thank you :) I tried putting it into Symbolab to understand it but that wasn't very helpful so I think human assistance would be more beneficial haha. [tex](\frac{(7x^{2} + 5x) }{x^{2} + 1 } ) - (\frac{5x}{x^{2} -6})[/tex]
Answer:
can you type it out
Step-by-step explanation:
4-x/5+x+2/3=6 PLEASE HELP 5-10 MINUTES PLEEEEAAASEEEE
Answer:
x=5/3
Step-by-step explanation:
Solve 3(2x+16)=11x+8
Am confused in this y=(2x+1)² –3x
Differentiate y
Answer:
dy/dx = 8x + 1
Step-by-step explanation:
dy/dx = 2(2x+1)*2 - 3
dy/dx = 4(2x + 1) - 3
dy/dx = 8x + 4 - 3
dy/dx = 8x + 1
Verify that the points are the vertices of a parallelogram and find its area. (2,-1,1), (5, 1,4), (0,1,1), (3,3,4)
Answer:
Verified
Area = 13.12 square units.
Step-by-step explanation:
Let the given points / vertices of the parallelogram be represented as follows:
A(2,-1,1),
B(5, 1,4),
C(0,1,1),
D(3,3,4)
In vector notation, we can have;
A = 2i - j + k
B = 5i + j + 4k
C = 0i + j + k
D = 3i + 3j +4k
One of the ways to prove that a quadrilateral is a parallelogram is to show that both pairs of opposite sides are parallel.
(i) Now, let's find the various sides of the assumed parallelogram. These sides are:
AB = B - A = [5i + j + 4k] - [2i - j + k] open the brackets
AB = 5i + j + 4k - 2i + j - k collect like terms and solve
AB = 5i - 2i + j + j - k + 4k
AB = 3i + 2j+ 3k
BC = C - B = [0i + j + k] - [5i + j + 4k] open the brackets
BC = 0i + j + k - 5i - j - 4k collect like terms and solve
BC = 0i - 5i + j - j + k - 4k
BC = -5i + 0j - 3k
CD = D - C = [3i + 3j +4k] - [0i + j + k] open the brackets
CD = 3i + 3j + 4k - 0i - j - k collect like terms and solve
CD = 3i - 0i + 3j - j + 4k - k
CD = 3i + 2j + 3k
DA = A - D = [2i - j + k] - [3i + 3j +4k] open the brackets
DA = 2i - j + k - 3i - 3j - 4k collect like terms and solve
DA = 2i - 3i - j - 3j + k - 4k
DA = - i - 4j - 3k
AC = C - A = [0i + j + k] - [2i - j + k] open the brackets
AC = 0i + j + k - 2i + j - k collect like terms and solve
AC = 0i - 2i + j + j + k - k
AC = - 2i + 2j +0k
BD = D - B = [3i + 3j + 4k] - [5i + j + 4k] open the brackets
BD = 3i + 3j + 4k - 5i - j - 4k collect like terms and solve
BD = 3i - 5i + 3j - j + 4k - 4k
BD = - 2i + 2j + 0k
(ii) From the results in (i) above, it has been shown that;
AB is equal to CD, and that implies that AB is parallel to CD. i.e
AB = CD => AB || CD
Also,
AC is equal to BD, and that implies that AC is parallel to BD. i.e
AC = BD => AC || BD
(iii) Therefore, ABDC is a parallelogram since its opposite sides are equal and parallel.
(B) Now let's calculate the area of the parallelogram.
To calculate the area, we find the magnitude of the cross product between any two adjacent sides.
In this case, we choose sides AC and AB.
Area = | AC x AB |
Where;
[tex]AC X AB = \left[\begin{array}{ccc}i&j&k\\-2&2&0\\3&2&3\end{array}\right][/tex]
AC X AB = i(6 - 0) - j(-6 - 0) + k(-4 -6)
AC X AB = 6i + 6j - 10k
|AC X AB| = [tex]\sqrt{6^2 + 6^2 + (-10)^2} \\[/tex]
|AC X AB| = [tex]\sqrt{36 + 36 + 100} \\[/tex]
|AC X AB| = [tex]\sqrt{172} \\[/tex]
|AC X AB| = 13.12
Therefore the area is 13.12 square units.
PS: The diagram showing this parallelogram has been attached to this response.
Point M is on line segment \overline{LN} LN . Given LM=5LM=5 and LN=12,LN=12, determine the length \overline{MN}. MN .
Answer: 7 units.
Step-by-step explanation:
Given: Point M is on line segment [tex]\overline{LN}[/tex].
So, point M must divide [tex]\overline{LN}[/tex] into [tex]\overline {LM}[/tex] and [tex]\overline{MN}[/tex].
Such that , [tex]\overline{LN}=\overline{LM}+\overline{MN}[/tex] (i)
Since, [tex]\overline{LM} = 5[/tex] units and [tex]\overline{LN} =12[/tex] units , then we will put values in (i), we will get
[tex]12=5+\overline{MN}\\\\\Rightarrow\overline{MN}=12-5=7[/tex]
Hence, the length of [tex]\overline{MN}[/tex] is 7 units.
Which expression is equivalent to 2 (a + 2 b) - a - 2b?
Answer:
2 b + a
Step-by-step explanation:
Simplify the following:
2 (a + 2 b) - a - 2 b
2 (a + 2 b) = 2 a + 4 b:
2 a + 4 b - a - 2 b
Grouping like terms, 2 a + 4 b - a - 2 b = (4 b - 2 b) + (2 a - a):
(4 b - 2 b) + (2 a - a)
4 b - 2 b = 2 b:
2 b + (2 a - a)
2 a - a = a:
Answer: 2 b + a
Represent the following numbers as being members of set K: 2, 4, 2, 0,6, 0, 10, 8
Answer:
Hi, explanation and picture Is below :)
Step-by-step explanation:
K would equal: K = {0, 2, 4, 6, 8, 10}
^^^ (that is in order)^^
That would be the correct expression.
The numbers ‘2 and 0’ are both repeated twice...
So if you want to make it as “members of set” you have to represent each one only once, for it to be members of set...
REVEIW:
Question, Represent the following numbers as being members of set K: 2, 4, 2, 0,6, 0, 10, 8....
Answer, {0, 2, 4, 6, 8, 10}....
By: ✨RobloxYt✨
(Picture attached)