Answer:
She has 90.96 miles of the trail to hike.
Step-by-step explanation:
Length of the trail:
The length of the trail is of 113.7 miles.
On the first day she hiked of 1/10 the distance of the trail.
Thus:
[tex]\frac{1}{10(113.7) = 11.37[/tex]
On the first day she hiked 11.37 miles.
On the second day she hiked the same distance as the first day.
Also 11.37 miles on the second day, and thus, 2*11.37 = 22.74 miles on the first two days.
How much of the trail does she have left to hike?
113.7 - 22.74 = 90.96
She has 90.96 miles of the trail to hike.
2x – 3(X + 8) = -21
Solve for x step by step
Please answer quickly
Answer:
x = -3
Step-by-step explanation:
2x – 3(x + 8) = -21
Distribute
2x - 3x - 24 = -21
Combine like terms
-x - 24 = -21
Add 24 to both sides
-x = 3
Multiply both sides by -1
x = -3
If using the method of completing the square to solve the quadratic equation x^2+15x+21=0, which number would have to be added to "complete the square"?
Step-by-step explanation:
the answer is in the above image
Answer:
my answer is 225/5 sorry comments for wrong
PLS HELP ! THANK YOU
Will mark Brainliest
Answer:
I think. . . sphere? SO SORRY IF IM WRONG!!
Step-by-step explanation:
B
These triangles
are congruent by
the triangle
congruence
postulate [?].
D
E
A. SSS
B. SAS
C. Neither, they are not congruent
Answer:
SAS
Step-by-step explanation:
AC ≅ EC (Given), ∠ACB ≅∠ECD ( Vertical Angles), and BC ≅ DC
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $10,000 and $50,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. Determine the planning value for the population standard deviation.
1. Determine how large a sample should be taken if the desired margin of error is:
a. $500
b. $200
c. $100
2. Would you recommend trying to obtain the $100 margin of error? Explain
Answer:
1) the planning value for the population standard deviation is 10,000
2)
a) Margin of error E = 500, n = 1536.64 ≈ 1537
b) Margin of error E = 200, n = 9604
c) Margin of error E = 100, n = 38416
3)
As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.
Hence, I will not recommend trying to obtain the $100 margin of error in the present case.
Step-by-step explanation:
Given the data in the question;
1) Planning Value for the population standard deviation will be;
⇒ ( 50,000 - 10,000 ) / 4
= 40,000 / 4
σ = 10,000
Hence, the planning value for the population standard deviation is 10,000
2) how large a sample should be taken if the desired margin of error is;
we know that, n = [ ([tex]z_{\alpha /2[/tex] × σ ) / E ]²
given that confidence level = 95%, so [tex]z_{\alpha /2[/tex] = 1.96
Now,
a) Margin of error E = 500
n = [ ([tex]z_{\alpha /2[/tex] × σ ) / E ]²
n = [ ( 1.96 × 10000 ) / 500 ]²
n = [ 19600 / 500 ]²
n = 1536.64 ≈ 1537
b) Margin of error E = 200
n = [ ([tex]z_{\alpha /2[/tex] × σ ) / E ]²
n = [ ( 1.96 × 10000 ) / 200 ]²
n = [ 19600 / 200 ]²
n = 9604
c) Margin of error E = 100
n = [ ([tex]z_{\alpha /2[/tex] × σ ) / E ]²
n = [ ( 1.96 × 10000 ) / 100 ]²
n = [ 19600 / 100 ]²
n = 38416
3) Would you recommend trying to obtain the $100 margin of error?
As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.
Hence, I will not recommend trying to obtain the $100 margin of error in the present case.
What’s the area ?????
Answer:
The answer is D. 22 square feet
Answer:
D
Step-by-step explanation:
3(2) + 8(2) = 22 sq ft
Chung has 6 trucks and 5 cars in his toy box. Brian has 4 trucks and 5 cars in his toy box.
Which is the correct comparison of their ratios of trucks to cars?
StartFraction 6 Over 4 EndFraction less-than StartFraction 5 Over 5 EndFraction
StartFraction 6 Over 4 EndFraction greater-than StartFraction 5 Over 5 EndFraction
StartFraction 6 Over 5 EndFraction less-than StartFraction 4 Over 5 EndFraction
StartFraction 6 Over 5 EndFraction greater-than StartFraction 4 Over 5 EndFraction
Given:
Chung has 6 trucks and 5 cars in his toy box.
Brian has 4 trucks and 5 cars in his toy box.
To find:
The correct comparison of their ratios of trucks to cars.
Solution:
The ratio of trucks to cars is defined as:
[tex]\text{Ratio}=\dfrac{\text{Number of trucks}}{\text{Number of cars}}[/tex]
Chung has 6 trucks and 5 cars in his toy box. So, the ratio of trucks to cars is:
[tex]\text{Ratio}=\dfrac{6}{5}[/tex]
Brian has 4 trucks and 5 cars in his toy box.
[tex]\text{Ratio}=\dfrac{4}{5}[/tex]
We know that,
[tex]6>4[/tex]
[tex]\dfrac{6}{5}>\dfrac{4}{5}[/tex]
Therefore, the correct option is D.
Answer:
what the guy above me said
Step-by-step explanation:
so yeah he is right points
ASAP there are three marbles in a bag. One is red and two are black. What is the probability of picking a black marble first, putting it back in the bag and then picking a black marble? Use the following probability to find the answer.
Answer:
[tex] \frac{4}{9} [/tex]
Step-by-step explanation:
[tex]p = \frac{favorable \: outcomes}{total \: outcomes} = \frac{4}{9} [/tex]
=============================================================
Explanation:
The probability you get a black marble on the first selection is 2/3 since we have 2 black marbles out of 2+1 = 3 total.
We put the marble back and then we have 2/3 as the probability of selecting another black marble on the second try. Nothing has changed because we put the marble back. That means the events are independent.
So we get (2/3)*(2/3) = 4/9 as the probability of selecting 2 black marbles in a row (with replacement).
For this question I am sure the answer is 81% as you divide 45 and 55. However, it is stating my answer is incorrect even though I put 0.81% as well. Did I round wrong or is the answer wrong completely?
Answer:
it says round to the nearest 10th so it wouldn't be 81, it would be 81.8%
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.)
x −36 −26 −15 −4
P(X = x) 0.32 0.36 0.21 0.11
Mean
Variance
Standard deviation
Mean = 24.47
Variance = 108.31
Standard deviation = 10.41
Step-by-step explanation:The probability distribution table has been attached to this response.
(1) To calculate the mean (m)
(a) First multiply each of the values of x by their corresponding probability values.
This is shown in the third column of the table.
(b) The sum of the results in the third column gives the mean of the distribution. i.e
m = ∑xP(x) = 11.52 + 9.36 + 3.15 + 0.44
m = 24.47
(2) To calculate the variance (σ²).
(a) First find the square of the difference between the values of x and the mean (m) calculated in (1b) above. i.e
(x - m)²
The result is shown in the fourth column of the table.
(b) Next, multiply each of the results in the fourth column (x - m)², by their corresponding probability values P(X = x). i.e
(x - m)²(P(X = x))
The result is shown in the fifth column of the table.
(c) Now find the variance (σ²) which is the sum of the results in the fifth column. i.e
σ² = ∑(x - m)²(P(X = x)) = 42.5411 + 0.8427 + 18.8330 + 46.0923
σ² = 108.3091
σ² = 108.31 [to 2 decimal places]
(3) To calculate the standard deviation (σ)
The standard deviation is the square root of the variance of the distribution. Calculate this by finding the square root of the result in (2c) above.
σ = √σ²
σ = [tex]\sqrt{108.31}[/tex]
σ = 10.4072
σ = 10.41 [to 2 decimal places]
Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.
a = 8; r = -5
Answer:
[tex]a_n = 8(-5)^{n-1}[/tex]
The fifth term of the sequence is 5000.
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio. The nth term of a geometric sequence is:
[tex]a_n = a_1(r)^{n-1}[/tex]
a = 8; r = -5
Thus:
[tex]a_n = a_1(r)^{n-1}[/tex]
[tex]a_n = 8(-5)^{n-1}[/tex]
Fifth term:
This is [tex]a_5[/tex]. So
[tex]a_5 = 8(-5)^{5-1} = 5000[/tex]
The fifth term of the sequence is 5000.
HELP!!!! NUMBER 2
2. Find the distance between these two points.
First Point
Second Point
Distance
(5, - 2)
(8,6)
(5,6)
(-3,6)
(-3,6)
(5,-2)
Answer:
1. 8
2 . 11
[tex]3 . \sqrt{128} \ or \ 8 \sqrt2[/tex]
Step-by-step explanation:
[tex]Distance = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2 }[/tex]
1 . ( 5 , - 2 ) and ( 5 , 6 )
[tex]Distance = \sqrt{(5 -5)^2 + ( 6-(-2))^2} = \sqrt{ 0 + 8^2 } = \sqrt{64} = 8[/tex]
2 . ( 8 , 6 ) and ( - 3 , 6 )
[tex]Distance = \sqrt{( -3 -8)^2 + ( 6 - 6)^2 } = \sqrt{ (-11)^2 + 0 } = \sqrt { 121 } = 11[/tex]
3. ( 5 , - 2 ) and ( -3 , 6 )
[tex]Distance = \sqrt{(-3 - 5)^2 + ( 6 --2)^2} = \sqrt{(-8)^2 + ( 8)^2} = \sqrt{ 64 + 64 } = \sqrt{128}[/tex]
[tex][ \ \sqrt{128} = \sqrt{ 2 \times 64} = \sqrt{ 2 \times 8^2 } = 8 \sqrt{2} \ ][/tex]
Anne invested $1000 in an account with a 3% annual interest rate. She made no deposits or
withdrawals on the account for 2 years. If interest was compounded annually, which equation
represents the balance in the account after the 2 years?
474 ( ) 548 42. - 8 how do I arrive at this answer.
9514 1404 393
Answer:
(64x^28)/(5y^22)
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
__
First, eliminate the outside exponent on the left factor. Then use the above rules to combine factors with the same base.
[tex]\displaystyle\left(\frac{4x^4}{5y^6}\right)^5\cdot\left(\frac{5^4y^8}{4^2x^{-8}}\right)=\frac{(4^5x^{20})(5^4y^8)}{(5^5y^{30})(4^2x^{-8})}=4^{5-2}5^{4-5}x^{20-(-8)}y^{8-30}\\\\=4^35^{-1}x^{28}y^{-22}=\boxed{\frac{64x^{28}}{5y^{22}}}[/tex]
find the area of the following figures:
Answer:
Area = 156 square cm
Step-by-step explanation:
Fran swims at a speed of 2.1 km/h in still water. The Lazy River flows at a speed of 0.7 km/h. How long will it take Fran to swim 10 km upstream?
What is Fran's speed while swimming upstream?
Answer: Fran's speed while swimming upstream = 1.4 km/h
Step-by-step explanation:
Given: Fran's swimming speed = 2.1 km/h
Speed of river = 0.7 km/h
The direction against the stream is called upstream.
Speed in Upstream = Fran's swimming speed - Speed of river
= 2.1-0.7 km/h
= 1.4 km/h
hence, Fran's speed while swimming upstream = 1.4 km/h
Do you think someone would steal a led light controller???
Cause it was lost yesterday at night in my room when my friends where over but the day before it was they’re?
Does it sound like we lost it our they stole it?
Answer ASAP
Answer:
yeah dude they might of. First look around everywhere in ur room before accusing them.
Step-by-step explanation:
good luck
Hi, could someone help me solve this. so the question says to find the area of the shaded part (in black) , in terms of pie (π). the length of the square is 12 cm. the radius of the circle is 6cm. i came with the answer of (144-36π)/4. is this ok? below is the picture of the question.
Answer:
yes but can be simplified
Step-by-step explanation:
area of shaded part = ( area of square - area of circle ) / 4
= [tex]\frac{12^2-\pi (6)^2}{4}[/tex]
= [tex]\frac{144-36\pi }{4}[/tex]
= [tex]\frac{144}{4}[/tex] - [tex]\frac{36\pi }{4}[/tex]
= 36 - 9π
Solve the equation 2x^2 + 3 – 41 = –15 to the nearest tenth.
Hellllpppp
9514 1404 393
Answer:
x = {-4.4, +2.9}
Step-by-step explanation:
We assume you want to solve ...
2x^2 +3x -41 = -15
Adding 41 and factoring out the leading coefficient gives ...
2(x^2 +3/2x) = 26
Dividing by 2 makes it ...
x^2 +3/2x = 13
We can add the square of half the x-coefficient to "complete the square."
x^2 +3/2x +(3/4)^2 = 13 +(3/4)^2
(x +3/4)^2 = 13.5625 . . . . write the left side as a square
x +3/4 = ±√13.5625 . . . . . take the square root
x = -0.75 ±3.683 = {-4.433, +2.933} . . . . subtract 3/4 and evaluate
The solutions are approximately x = -4.4 and x = 2.9.
Find the distance between the pair of points: (0,1) and (1,0)
Answer:
sqrt(1^2 + 2^2)
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The ice cream man just ended his shift for the day. Let 1/2x^2 6/11x + 8 represent the amount of chocolate ice cream bars he sold. Let 5/9x^2 + 2/3 represent the amount of vanilla ice cream bars he sold. Finally let 1/3x^2 + 4x + 4/3 represent the amount of strawberry ice cream bars he sold. Select all the statements that are true
a. The total amount of ice cream bars sold can be represented by the expression 25/18x^2+ 50/11x +10
b. The total amount of ice cream bars sold can be represented by the expression 25/18x^2 + 172/33x +28/3
c. He sold 1/6x^2 + 50/11x + 28/3 more chocolate than strawberry ice cream bars.
d. He sold 1/6x^2 - 38/11x + 20/3 more chocolate than strawberry ice cream bars.
Answer:
A and D
Step-by-step explanation:
Total ice cream bars sold = sum of chocolate sold , vanilla and strawberry ice-creams sold.
=(1/2)x2 + (6/11)x + 8 + (5/9)x2 + (2/3) +(1/3)x2 + 4x +(4/3) (Given in the question)
=(25/18)x2 + (50/11)x + 10 (Adding terms corresponding to x2,x ,constant respectively)
Difference in chocolate and strawberry bars =[ (1/2)x2 + (6/11)x + 8] - [(1/3)x2 + 4x +(4/3)]
= (1/6)x2 - (38/11)x +(20/3)
So, the correct options are A and D
Un ganadero está reparando una mezcla de avena y harina de maíz para ganado. Cada onza de avena proporciona 4 gramos de proteína y 18 gramos de carbohidrato; una onza de harina de maíz proporciona 3 gramos de proteína y 24 gramos de carbohidratos.
¿Cuántas onzas de cada uno se pueden usar para satisfacer las metas nutricionales de 200 gramos de proteína y 1320 gramos de carbohidrato por ración?
Answer:i love you
Step-by-step explanation:
what does $42,690e(0.03)×(20) equal
Answer:
77,786.251
Step-by-step explanation:
Answer:
77,786.251 is the answer that equals $42,690e(0.03)×(20)
Step-by-step explanation:
hey mate hope this help you...!
Help Me Pls i need it now
Nonsense = Report
Answer:
8,6,3, v= 144
4,8,6, v=192
15,10,6, v=900
Step-by-step explanation:
Answer:
This geometric questions are very very simple let's start to solve all steps
Step-by-step explanation:
L means long of Prism and look at 8 and 6 for first prism. Which one is longest of course 8
w means wide =6
h means high=3 and
V means Volume: You must multiply by 3, 6,8 to find volume, so we can say Volume 3*6*8=144 easily
please solve fast please
Answer:
3/6 =1/25/6pls give me brainliest plzzzzz
The circumference of a circle is 19 pi m. What is the area, in square meters? Express your answer in terms of pi
Answer:
90.25πm^2
Step-by-step explanation:
circumference = 2 pie r
then , 19 pie meter = 2 pie r
so radius r = 19 /2 m
therefore ,
area of circle = pie r ^ 2
= 90.25 pie meter square
Answer:
circle circumference formula is 2 pi R
and area of circle pi R ²
19 pi is 2×9.5×pi
so the radius is 9.5
and area is pi 9.5² m² = 90,25 pi m²
Select the correct answer.
What is the domain of y= tan x?
Answer:
π/2 + n*π
Step-by-step explanation:
All real numbers except π/2 + n*π
Answer:
Step-by-step explanation:
For some problems, stating the domain actually means to identify what x CANNOT be as opposed to what x IS. This occurs with tangent and cotangent functions along with rational functions.
As far as the tangent function goes, look at your unit circle. Your unit circle gives you 2 values for each angle, the first value reflects the cosine of the angle and the second value reflects the sine of the angle. This is because cosine is directly related to the x values and sine is directly related to the y values; cos goes into the "x" position and sin goes into the "y" position inside the brackets just like x and y go into parenthesis for coordinates. Anyway, a ratio is undefined if the denominator equals 0, right? And since tangent is the same as sin/cos, tangent is undefined when cos is 0. This occurs at [tex]\frac{\pi}{2}+k\pi[/tex] . That means that tangent does NOT exist at pi over 2 and every integer of pi you add in after. Let's look at a couple of examples of how that domain "works". Adding in an integer means adding in 1, 2, 3, etc. If the domain of tangent is undefined at [tex]\frac{\pi}{2}+k\pi[/tex], then let's let k = 1, and
[tex]\frac{\pi}{2}+1\pi=\frac{\pi}{2}+\frac{2\pi}{2}=\frac{3\pi}{2}[/tex] . Now let k = 2:
[tex]\frac{\pi}{2}+2\pi=\frac{\pi}{2}+\frac{4\pi}{2}=\frac{5\pi}{2}[/tex]. Now let k = 3:
[tex]\frac{\pi}{2}+ 3\pi=\frac{\pi}{2}+\frac{6\pi}{2}=\frac{7\pi}{2}[/tex]. And it continues like that.
You can see when you graph the tangent function in radian mode on your calculator that these values where tangent is undefined show up as asymptotes. Use your unit circle and your graphs to determine the domain of trig functions.
1.4 meters is the same as
Answer:
Step-by-step explanation:
1.4 m = 1.4 * 100 = 140.0 = 140 cm
The formula for the surface area of a cylinder is:
SA = 2π r 2 + 2πrh note: that π= 3.14
a. Solve for h showing all work.
b. If the height of a can of soup is 5 inches and the radius is 1.5 inches, what is the surface area?
Answer:
Below in bold.
Step-by-step explanation:
a. SA = 2π r^2 + 2πrh
2πrh = SA - 2π r^2
h = (SA - 2πr^2)/2πr
When π = 3.14 we have
h = (SA - 6.28r^2)/ 6.28r
b. SA = 6.28*1.5^2 + 6.28*1.5* 5
= 61.23 in^2
Mercury and venus are the sun than earth is.
closer to, shorter, longer. (T=A^1.5
just took the assigniment.
Answer:
So, their orbital periods are than Earth's orbit. The further a planet is from the sun, the its orbit is.
Step-by-step explanation:
Even though Venus is farther from the sun than mercury, Venus's surface is hotter than Mercury's because Venus has a carbon dioxide atmosphere that traps the sun's heat.
