Answer:
1. Ethan
2. 2.5 tons
3. 72 in
4. 5.7 mi
Step-by-step explanation:
1. Convert to pints by multiplying gallons by 4 to get quarts and quarts by 4 to get pints then compare.
2. Divide pounds by 2000 to get tons
3. Multiply by 12
4. Divide by 5280 to turn feet into miles
help solving inequalities true or false (middle school) first person to answer i’ll give brainliest please!!!
Answer:
aef true and bcd false
hope u get well in your exams
Step-by-step explanation:
The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room at a four-star hotel, beverages, breakfast, taxi fares, and incidental costs. Click on the datafile logo to reference the data. City Daily Living Cost ($) City Daily Living Cost ($) Bangkok 242.87 Mexico City 212.00 Bogota 260.93 Milan 284.08 Cairo 194.19 Mumbai 139.16 Dublin 260.76 Paris 436.72 Frankfurt 355.36 Rio de Janeiro 240.87 Hong Kong 346.32 Seoul 310.41 Johannesburg 165.37 Tel Aviv 223.73 Lima 250.08 Toronto 181.25 London 326.76 Warsaw 238.20 Madrid 283.56 Washington, D.C. 250.61 a. Compute the sample mean (to 2 decimals). b. Compute the sample standard deviation (to 2 decimals). c. Compute a confidence interval for the population standard deviation (to 2 decimals).
Answer:
[tex]\bar x = 260.1615[/tex]
[tex]\sigma = 70.69[/tex]
The confidence interval of standard deviation is: [tex]53.76[/tex] to [tex]103.25[/tex]
Step-by-step explanation:
Given
[tex]n =20[/tex]
See attachment for the formatted data
Solving (a): The mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}[/tex]
[tex]\bar x = \frac{5203.23}{20}[/tex]
[tex]\bar x = 260.1615[/tex]
[tex]\bar x = 260.16[/tex]
Solving (b): The standard deviation
This is calculated as:
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]
[tex]\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}[/tex][tex]\sigma = \sqrt{\frac{94938.80}{19}}[/tex]
[tex]\sigma = \sqrt{4996.78}[/tex]
[tex]\sigma = 70.69[/tex] --- approximated
Solving (c): 95% confidence interval of standard deviation
We have:
[tex]c =0.95[/tex]
So:
[tex]\alpha = 1 -c[/tex]
[tex]\alpha = 1 -0.95[/tex]
[tex]\alpha = 0.05[/tex]
Calculate the degree of freedom (df)
[tex]df = n -1[/tex]
[tex]df = 20 -1[/tex]
[tex]df = 19[/tex]
Determine the critical value at row [tex]df = 19[/tex] and columns [tex]\frac{\alpha}{2}[/tex] and [tex]1 -\frac{\alpha}{2}[/tex]
So, we have:
[tex]X^2_{0.025} = 32.852[/tex] ---- at [tex]\frac{\alpha}{2}[/tex]
[tex]X^2_{0.975} = 8.907[/tex] --- at [tex]1 -\frac{\alpha}{2}[/tex]
So, the confidence interval of the standard deviation is:
[tex]\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} }[/tex] to [tex]\sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }[/tex]
[tex]70.69 * \sqrt{\frac{20 - 1}{32.852}[/tex] to [tex]70.69 * \sqrt{\frac{20 - 1}{8.907}[/tex]
[tex]70.69 * \sqrt{\frac{19}{32.852}[/tex] to [tex]70.69 * \sqrt{\frac{19}{8.907}[/tex]
[tex]53.76[/tex] to [tex]103.25[/tex]
Let z be inversely proportional to the cube root of y. When y =.064, z =3
a) Find the constant of proportionality k.
b) Find the value of z when y = 0.125.
Given:
z be inversely proportional to the cube root of y.
When y =0.064, then z =3.
To find:
a) The constant of proportionality k.
b) The value of z when y = 0.125.
Solution:
a) It is given that, z be inversely proportional to the cube root of y.
[tex]z\propto \dfrac{1}{\sqrt[3]{y}}[/tex]
[tex]z=k\dfrac{1}{\sqrt[3]{y}}[/tex] ...(i)
Where, k is the constant of proportionality.
We have, z=3 when y=0.064. Putting these values in (i), we get
[tex]3=k\dfrac{1}{\sqrt[3]{0.064}}[/tex]
[tex]3=k\dfrac{1}{0.4}[/tex]
[tex]3\times 0.4=k[/tex]
[tex]1.2=k[/tex]
Therefore, the constant of proportionality is [tex]k=1.2[/tex].
b) From part (a), we have [tex]k=1.2[/tex].
Substituting [tex]k=1.2[/tex] in (i), we get
[tex]z=1.2\dfrac{1}{\sqrt[3]{y}}[/tex]
We need to find the value of z when y = 0.125. Putting y=0.125, we get
[tex]z=1.2\dfrac{1}{\sqrt[3]{0.125}}[/tex]
[tex]z=\dfrac{1.2}{0.5}[/tex]
[tex]z=2.4[/tex]
Therefore, the value of z when y = 0.125 is 2.4.
Proportional quantities are either inversely or directly proportional. For the given relation between y and z, we have:
The constant of proportionality k = 1.2, andWhen y = 0.125 , z = 2.4What is directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n}[/tex]
or
[tex]n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n}\\\\or\\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
For the given case, it is given that:
[tex]z \propto \dfrac{1}{^3\sqrt{y}}[/tex]
Let the constant of proportionality be k, then we have:
[tex]z = \dfrac{k}{^3\sqrt{y}}[/tex]
It is given that when y = 0.064, z = 3, thus, putting these value in equation obtained above, we get:
[tex]k = \: \: ^3\sqrt{y} \times z = (0.064)^{1/3} \times (3) = 0.4 \times 3 = 1.2[/tex]
Thus, the constant of proportionality k is 1.2. And the relation between z and y is:
[tex]z = \dfrac{1.2}{^3\sqrt{y}}[/tex]
Putting value y = 0.0125, we get:
[tex]z = \dfrac{1.2}{^3\sqrt{y}}\\\\z = \dfrac{1.2}{(0.125)^{1/3} } = \dfrac{1.2}{0.5} = 2.4[/tex]
Thus, for the given relation between y and z, we have:
The constant of proportionality k = 1.2, andWhen y = 0.125 , z = 2.4Learn more about proportionality here:
https://brainly.com/question/13082482
A quadrilateral is a parallelogram if each____ divides a parallelogram into two____.
Answer:
diagonal, congruent triangles
Step-by-step explanation:
how do you find x in this? I need help asap!!
Answer:
Step-by-step explanation:
According to the theorem, the angle measuring 110 is one-half the measure of the arc it intercepts. That means that the major arc (this arc of which I'm speaking) measures 110 * 2 = 220.
Since the outside of a circle, regardless of how big or small the circle is, has a degree measure of 360, then x = 360 - 220 so
x = 140°
helpppp meee pleaseeeeewee
We can't see what you are talking about. send another one.
15 point question!
Hi can you help? Thanks! *if you are gonna answer, actually answer please!*
Brainly if you get it right!
Answer:
The answer is 129
Step-by-step explanation:
5(exponent 4)/5 = 125 +4 equals 129
I think
Answer:
129
Step-by-step explanation:
5^4 / 5 + 4
We know that a^b / a^c = a^(b-c)
5^(4-1) +5
5^3 +4
125 +4
129
Can someone help me with this question please
Answer:
the anwser is d
Step-by-step explanation:
Here we are given that C is between A and B.
So using the midpoint rule, sum of whole length AB will be addition of lengths AC and BC
Hope that helps
Answer:
AC Or CA
Step-by-step explanation:
So, this is what a b and c would look like on a number line:
A----C----B
However, we dont know exactly what these variables are. THey could be somerthing like this:
A------------------C-B
But this doesnt matter.
If we look at the first numberline, A and C make up the first half of the numberline.
C to B make up the later half.
AB is the total numberline.
SO tecnically, A to C+ C to B = AB
Or:
AC + CB = AB
This can also be seen in the second numberline.
A to C make up almost all of the numberline.
C to B make up a smll amount.
But in the end, AC + CB will still make AB.
Hope this helps you! :D
The object below is made with six identical cubes. Each cube edge is 3 inches long.
As
3 in.
What is the surface area of the object in square inches?
Answer:
306 square inches.
Step-by-step explanation:
All surfaces of the cubes are exposed to the outside except 2 ( where 2 of the cubes join).
6 separate cubes have 6 * 6 faces exposed so this object has 36 - 2 = 34 surfaces exposed.
Each face of one cube = 3*3 = 9 in^2.
Therefore the surface area = 9 * 34 = 306 in^2.
Dana bought almonds at $8 per can and cashews at $12 per can. In total she bought 470 cans of nuts. Her total bill was $4260. How many cans of each type of nut did she buy? Use either substitution or elimination to solve this problem.
Answer:
almonds =345, cashews=125
Step-by-step explanation:
a=almonds, c=cashews
8a+12c=4260. Equation 1
a + c= 470 Equation 2
a=470-c. Isolate a from equation 2
8(470-c)+12c=4260 sub value of a from equation 2 into equation 1
3760-8c+12c=4260
4c=500
c=125
solve for a by substituting value of c into either equation
a+c=470
a+125=470
a=345
A car bought for $13,000 despreciates at 12% annually. What will the car be worth after 10 Years ?
Answer:
I think $3620.51
Step-by-step explanation:
If i did it right, the equation should be something like this?
13,000(.88)^10
There are 5 red, 4 blue, and 3 green marbles in a bag. What are the odds of randomly pulling a blue marble out of the bag and then randomly pulling a green marble out of the bag? The blue marble is NOT replaced.
A - 7/2
B - 12/24
C - 1/12
D - 1/11
Help please! No links!
Answer:
It is placed to the left of –2
solve the equation 4^y = 8
Answer:
y = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
4 = 2² and 8 = 2³ , then
[tex]4^{y}[/tex] = 8, can be written
[tex](2^2)^{y}[/tex] = 2³
[tex]2^{2y}[/tex] = 2³
Since bases on both sides are equal, both 2, then equate exponents
2y = 3 ( divide both sides by 2 )
y = [tex]\frac{3}{2}[/tex]
y = 1.5
Step-by-step explanation:
[tex] {4}^{y} = 8[/tex]
Take the logarithm of both sides and you will get
[tex] \log {4}^{y} = y \log4 = \log8[/tex]
or
[tex]y = \frac{\log8}{ \log4} = 1.5[/tex]
If line a has a slope of -3 and is perpendicular to line b, what would is the slope of line b?
Answer:
Slope of line B: 1/3
Step-by-step explanation:
To find a slope perpendicular to another slope, you take its negative reciprocal.
Therefore, line B will have a slope of 1/3 because -3 -> -1/3 -> 1/3
What is the explicit formula for the geometric sequence 2, 6, 18, 54, …?
Answer:
3x
Step-by-step explanation:
You multiply the pervious number with 3 to get the next number
For example 2 times 3 = 6
6 times 3 = 18
18 times 3 =54
54 times 3= 162
So on and so forth
Please help?? I have an exam tomorrow
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
x² - 5xy + 6y² = x² - 3xy - 2xy + 6y²
= x(x - 3y) - 2y(x - 3y)
= (x - 3y)(x -2y)
x² - 4xy + 3y² = x² -xy - 3xy + 3y²
= x(x - y) - 3y(x - y)
= (x - y)(x - 3y)
x² - 3xy + 2y² = x² - xy - 2xy + 2y²
= x(x - y) - 2y(x - y)
= (x - y)(x - 2y)
Least common denominator = (x-y)(x - 2y)(x - 3y)
[tex]RHS = \frac{1*(x-y)}{(x-3y)(x-2y)*(x-y)}+\frac{a*(x-2y)}{(x-y)(x-3y)*(x-2y)}+\frac{1*(x-3y)}{(x-y)(x-2y)*(z-3y)}\\\\= \frac{x- y + ax - 2ay +x -3y}{(x-y)(x-2y)(x-3y)}\\\\= \frac{2x -4y +ax - 2ay}{ x^{3}-5x^{2}y+8xy^{2}-4y^{3}}[/tex]
A bag contains balls of five different colors. Two are red, three are blue, ten are white, four are green and three are black. Balls are taken from the bag without looking, and not returned. What is the smallest number of balls that should be taken from the bag to be sure that two balls of the same color have been taken? please explain with the answer
Answer:
6
Step-by-step explanation:
The worst scenario is that of a slight possibility, the first 5 balls you took are completely different color. The chance of this happening is tiny, but if you want to be sure, then you should consider about it.
But, after taking out the sixth ball, you can be sure that the ball, now right on your hand, must share a same color with at least one of the balls you took out, since there are only five colors.
Simplify the expression 3 (9+ 4z - 5)
Answer:
12x+12
Step-by-step explanation:
Multiply 3 to everything in the parenthesis
so it becomes
18+12x-15
=12x+12
Peter gets 1 star for every 3 correct answers he gets on khan academy. What is the minimum number of correct answers Peter must enter if he wants to get 12 stars?
For full points you need to write an equation that uses a variable and division, show what work you did to solve it, and then give me a final answer.
Answer:
Peter needs to get 36 problems correct to get 12 stars
Step-by-step explanation:
for every 3 correct answers, Peter gets 1 star
1/3
if he wants 12 stars he will have to get 'x' amount of questions correctly
considering this is constant, 1/3 will have to equal 12/x
[tex]\frac{1}{3} = \frac{12}{x} \\\\1x = 36\\[/tex]
1x = x, so you don't need to do anything to 36
therefore the answer is that you need to get 36 problems correct to get 12 stars
helpppp pleaseee its hard
Answer:
Ten thousands
Step-by-step explanation:
Replace all other digits with zero
This gives 40,000
Ten thousand (10,000) has the same amount of digits
what is the answer to this question
Answer:
[tex]slope = \frac{2 - ( - 1)}{0 - ( - 1)} \\ = 3 \\ y = mx + c \\ 2 = (0 \times 3) + c \\ c = 2 \\ { \boxed{y = 3x + 2}}[/tex]
How many marble do you need to balance to scale
A. 4
B. 3
C. 2
D. 1
Answer: its B.
Step-by-step explanation:
have a good day hope this help
Answer:
B.3
Step-by-step explanation:
just divide 6 by 2
PLS HELP Find the value of x.
A. 4
B. 2
C. 7
D. 14
Answer:
ANSWER IS B
Step-by-step explanation:
5x - 3 = 3x + 1
5x - 3x = 1 + 3
2x = 4
x = 4/2
x = 2
Answer:
B. 2
Step-by-step explanation:
The sides 5x - 3 and 3x + 1 are the same length, so you can put an equal sign: 5x - 3 = 3x + 1, x = 2:
5(2) - 3 = 3(2) + 1
10 - 3 = 6 + 1
7 = 7
So x is 2
Drag and drop the correct angle measures onto the diagram
Answer:
Here you go!
Hope this helps!
$2000 at 9% for 1 year
Answer:
$180
Step-by-step explanation:
9% = 0.09
2000 * 0.09 = 180
279 students went on a field trip. Five buses were filled and 9 students traveled in cars. How many students were in each bus? PLEASEEEEE HELPPPPP ME you get 60 points i dont know if anyone cares but hey
Answer:
90 students.
Step-by-step explanation:
279-9=270, and 270 divided by 9 is 90.
I need help on this question. I hope you can help!
Answer:
54
Step-by-step explanation:
Since triangle ABC ~ DEF
Angle A = Angle D
Angle A = 54
in a math final please help asap
find the angle r show ur work
Answer:
The measure of angle R is 112 degrees
Step-by-step explanation:
Using the given markings, we can see that we have an isosceles triangle
so RT is also 3x-2
Mathematically, the sum of the interior angles of a triangle is 180:
Thus;
9x + 4 + (3x-2) + (3x-2) = 180
9x + 3x +3x + 4-2-2 = 180
15x = 180
x = 180/15
x = 12
Recall; Angle R is 9x + 4
= 9(12) + 4 = 108 + 4 = 112
On the coordinate plane, point T is located at (0,7) and point U is located at (x,-5). The distance between points T and U is 15 units.
What are the two possible values of x?
Answer:
x = 9 or x = -9
Step-by-step explanation:
The parameters of the given points are;
The location of the point T = (0, 7)
The location of the point U = (x, -5)
Then distance between points T and U = 15 units
The distance between points A and B, 'd', given their coordinates, A(x₁, y₁) and B(x₂, y₂) is found using the following formula;
[tex]d=\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, for the given points, T(0, 7) and U(x, -5), we get;
[tex]15 = \sqrt{\left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}}[/tex]
Squaring both sides, gives;
[tex]15^2 = \left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}} = (-12)^2 + x^2[/tex]
∴ x² = 15² - (-12)² = 81 = 9²
x² = 9²
∴ x = ±√(9²) = ± 9
The possible values of x are x = 9 or x = -9