Answer:
The diameter of the sphere is = 36 in.
Step-by-step explanation:
V = 4π r^3/3
24416.64 = (4(3.14) r^3)/3
73249.92 = 12.56 r^3
r^3 = 5832
r = cube root of 5832 = 18
diameter = 36 in.
help please !!! AAAAAA
Answer:
it's 1/3x. You step three on the x-axis and one on the y-axis. So the gradient triangle is 1/3
Use an exponential inequality to determine the number of years, t, after which the area covered by purple loosestrife will
exceed 850 acres.
Type the correct answer in the box. Use numerals instead of words.
The area covered by purple loosestrife will be greater than 850 acres for t > ___ years.
Answer: t>3
Step-by-step explanation:
PLATO
Answer:
t > 5
Step-by-step explanation:
5 bricklayers can lay a total of 50 bricks in 30 minutes. How many bricklayers will
be required to lay a total of 60 bricks in 18 minutes?
Answer:
First look at the number of bricks alone.
Going from 50 bricks to 60 bricks is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 60/50
Next look at the time alone.
Going from 30 minutes to 20 minutes is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 30/20
Now you can just multiply everything.
= 5*60/50*30/20
= 5*6/5*3/2
= 90\10
= 9.
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the first equation is substituted into the second equation.
6x − y = 1
4x − 3y = −11
Select one:
a. 4(−6x + 1) − 3y = −11
b. 4(6x + 1) − 3y = −11
c. 4x − 3(6x − 1) = −11
d. 4x − 3(−6x − 1) = −11
Answer:
6x − y = 1 -------(1)
4x − 3y = −11 ------(2)
(1)×3
18x - 3y =3 ------(3)
4x − 3y = −11 ------(2)
(3)+(2)
18x - 3y + ( 4x - 3y) = 3+(-11)
d. 4x − 3(−6x − 1) = −11 is the answer.
What is the area??? 12m 6m 3m
Answer:
1320m
hope this helps
have a good day :)
have a good day :)
Step-by-step explanation:
What is the y-intercept in the equation y = 3x + 4 ?
Answer:
4 is the y-intercept
Step-by-step explanation:
Here's a photo the explains the equation
Answer:
[tex]The ~y-intercept ~is~ (0,4)[/tex]
------------------------
hope it helps...
have a great day!!
Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. Here are the distributions of the number of rooms for owner-occupied units and renter-occupied units:
Rooms 1 2 3 4 5
Owned 0.003 0.002 0.023 0.105 0.218
Rented 0.008 0.027 0.287 0.362 0.165
Rooms 6 7 8 9 10
Owned 0.225 0.198 0.149 0.053 0.024
Rented 0.095 0.033 0.013 0.003 0.004
Required:
a. Express "the unit has 7 or more rooms" in terms of X. x≥7. What is the probability of this event?
b. Express the event {X > 7} in words.
c. What important fact about discrete random variables does comparing your answers to (a) and (b) illustrate?
Answer:
Part a:
"The unit has 7 or more rooms" in terms of X is given by the unit which has 7, 8, 9 or 10 rooms.
P{ X≥7}= 0.424
Part b:
The event {X > 7} in words is that the unit has more than 7 rooms. .
Part C:
A continuous random variable is given by intervals of numbers
A discrete random variable is the variable that is obtained by counting.
Step-by-step explanation:
Part a:
"The unit has 7 or more rooms" in terms of X is given by
{ X≥7} = {x=7} + {x=8} + {x=9} + {x=10}
the unit which has 7, 8, 9 or 10 rooms.
The probability of this event is given by
P{ X≥7} =P {x=7} + P {x=8} + P {x=9} + P {x=10}
P{ X≥7} = 0.198 + 0.149+ 0.053 + 0.024
P{ X≥7}= 0.424
Part b:
The event {X > 7} in words is that the unit has more than 7 rooms. This does not include the unit having 7 rooms.
Part C:
A continuous random variable takes all the values in the given interval as in part a.The random variable X takes the values between 7 and 10 inclusive of 7.
A discrete random variable is the variable that is obtained by counting as in part b. The variable X takes the values of the units with 8 , 9 or 10 rooms.
Can the surface area of a sphere and the volume of a sphere be the same numerical value if the units are measured relative to the same unit of length?
A. Yes; the radius would need to be the unit radius, 1.
B. Yes; the radius would need to be 3.
C. No, the surface area would always be greater than the volume.
D. No, the volume would always be greater than the surface area.
Answer:
Volume = surface area
[tex]\frac{4}{3}\pi r^3 = 4\pi r^2\\\\\frac{r}{3} = 1\\r = 3[/tex]
option B
The highest temperature recorded in Zak’s town this year was 32.9ºCZak writes the headline, “Temperature reaches 95ºF!”A formula to convert between ºC and ºF is:ºC = 5 × (ºF – 32) ÷ 9
write in algebraic expression the difference between a number m and the product of m and n. If you can help it would mean a lot
Answer:
m - mn
Step-by-step explanation:
The two numbers are denoted by m and n respectively.
From the question, we can deduce the following points;
- the difference between m and another variable (mn).
- product or multiplication of m and n.
Translating the word problem into an algebraic expression, we have;
m - (m*n)
m - mn
A coin is flipped 25 times, and we would like to know the probability that 15 or more of those flips are heads side up.
Is it appropriate to use the geometric distribution to calculate probabilities in this situation?
Yes, the geometric distribution is appropriate.
No, since each trial is not independent of the other trials.
No, because it is not looking for the first occurrence of success.
No, since a success and failure on each trial cannot be defined..
No, because it is not looking for the first occurrence of success.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a coin is flipped 25 times, and we would like to know the probability that 15 or more of those flips are heads side up.
No, the geometric distribution is not appropriate for this situation.
The geometric distribution models the number of trials needed to obtain the first success, where each trial is independent and has a fixed probability of success.
In this case, we are interested in the number of heads in 25 trials, where the outcomes of the trials are not independent of each other.
Instead, we can use the binomial distribution to calculate the probability of getting 15 or more heads in 25 flips, as each flip is either a success (heads) or a failure (tails), and the trials are independent.
Hence, No, because it is not looking for the first occurrence of success.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ1
62% of what number is 84
Answer:
135.48
Step-by-step explanation:
g00gl3
Answer:
135.5
Step-by-step explanation:
0.62 = 62% and 135.5 times 0.62 is 84.01
Get brainly if right !!
John and Jack divided their math homework. John solved twice
as many problems as Jack, plus one more problem. How many
problems did each boy solve if there are 28 assigned problems?
Answer:
Jack=9, John= 19
Step-by-step explanation:
28/3=9 1/3, counting as nine, as thats what got the right answer in my homework.
9 *2) +1= 19, no idea why the plus one, thats just what showed up
J1=19
J2=9
I need help with this algebra question can someone help me?!
Answer:
consider a right angle triangle. ∠A = 90° , ∠B = [tex]\theta[/tex]
[tex]Sin\theta = \frac{6}{7} => AC = 6, BC = 7 \\\\BC^2 = AB^2 + AC^2 \\\\49 = 36 + AB^2 \\\\AB = \sqrt{13} \\\\Tan \theta = \frac{opposite}{adjacent } = \frac{6}{\sqrt{13} }[/tex]
Find the sum of each of the following polynomials.
a) [tex]x^3+5x^2+2, 3x^2-4x+7[/tex]
b) [tex]2x + 5x^3-2x^2+7, 9+4x-5x^2-2x^3[/tex]
c) [tex]5x^3+2x^2+4, 2x^2+7x-5, 7-5x^2 +3x-4x^3[/tex]
d) [tex]2x^4-3x^2+4x^3-5, 9x^2-7x^3-2x^4, 7-x+3x^4[/tex]
Answer:
[tex](a)\ Sum = x^3+8x^2-4x+9[/tex]
[tex](b)\ Sum =3x^3-7x^2+6x +16[/tex]
[tex](c)\ Sum = x^3-x^2+10x+6[/tex]
[tex](d)\ Sum = 3x^4 -3x^3+ 6x^2-x+2[/tex]
Step-by-step explanation:
Required
Sum of the polynomials
[tex](a)\ x^3+5x^2+2, 3x^2-4x+7[/tex]
[tex]Sum = x^3+5x^2+2+3x^2-4x+7[/tex]
Collect like terms
[tex]Sum = x^3+5x^2+3x^2-4x+2+7[/tex]
[tex]Sum = x^3+8x^2-4x+9[/tex]
[tex](b)\ 2x + 5x^3-2x^2+7, 9+4x-5x^2-2x^3[/tex]
[tex]Sum =2x + 5x^3-2x^2+7+ 9+4x-5x^2-2x^3[/tex]
Collect like terms
[tex]Sum =5x^3-2x^3-2x^2-5x^2+4x+2x +7+ 9[/tex]
[tex]Sum =3x^3-7x^2+6x +16[/tex]
[tex](c)\ 5x^3+2x^2+4, 2x^2+7x-5, 7-5x^2 +3x-4x^3[/tex]
[tex]Sum = 5x^3+2x^2+4+ 2x^2+7x-5+ 7-5x^2 +3x-4x^3[/tex]
Collect like terms
[tex]Sum = 5x^3-4x^3+2x^2+ 2x^2-5x^2+7x+3x-5+ 7 +4[/tex]
[tex]Sum = x^3-x^2+10x+6[/tex]
[tex](d)\ 2x^4-3x^2+4x^3-5, 9x^2-7x^3-2x^4, 7-x+3x^4[/tex]
[tex]Sum = 2x^4-3x^2+4x^3-5+ 9x^2-7x^3-2x^4+ 7-x+3x^4[/tex]
Collect like terms
[tex]Sum = 2x^4-2x^4+3x^4 +4x^3 -7x^3-3x^2+ 9x^2-x-5+ 7[/tex]
[tex]Sum = 3x^4 -3x^3+ 6x^2-x+2[/tex]
What's the exact value of cos 75°?
Answer:
Thus, the value of cos 75o is (√3-1) / 2√2.
Step-by-step explanation:
Answer:
I was going to answer this but someone beat me to it haha. Best of luck on your assignment.
Step-by-step explanation:
Have a nice day.
A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can the camel drink in 5 minutes?
(Type an integer or decimal rounded to one decimal place as needed.)
Answer: 7.5 gallons
Step-by-step explanation:
1. You divide 15 by two
The graph of the invertible function h is shown on the grid below. What is the value of h -1(-4)
Answer: ℎ + 4
Step-by-step explanation:
h − 1 (−4)
ℎ + 4
Answer:
The answer is h^-1(-4)= -2
Step-by-step explanation:
This answer was pulled from Khan Academy.
please help me and use laws of exponents
Answer:
-2
Step-by-step explanation:
[tex]a^{-b}=\frac{1}{a^b}\\\frac{1}{2}^{-1}=2\\-4^{-1}=-\frac{1}{4}\\\2*-\frac{1}{4}=-.5\\\\-.5^{-1}=-2[/tex]
The curriculum director in a large 3 points school district wants to determine the difference between the proportion of high school juniors who are enrolled in AP classes and the proportion of high school seniors who are enrolled in AP classes. She randomly selects 75 seniors and 70 juniors. Twenty-six of the seniors are enrolled in AP classes and 15 of the juniors are enrolled in AP classes. A 90 percent confidence interval for the difference between the proportion of seniors and juniors who are enrolled in AP classes is calculated. Which statement is not true?
A) The critical value used is 1.645.
B) The standard error of the difference is 0.074
C) The 90% interval was constructed using a method that results in intervals which capture the true difference in the proportion of seniors who are enrolled in AP classes and the proportion of juniors who are enrolled in AP classes 90% of the time.
D) She can be 90% confident that the true difference between the proportion of seniors who are enrolled in AP classes and the proportion of juniors who are enrolled in AP classes is between 0.0112 and 0.2535 students.
E) There is a 90% chance that the true difference between the proportion of seniors who are enrolled in AP classes and the proportion of juniors who are enrolled in AP classes is between 0.0112 and 0.2535
Answer:
C) The 90% interval was constructed using a method that results in intervals which capture the true difference in the proportion of seniors who are enrolled in AP classes and the proportion of juniors who are enrolled in AP classes 90% of the time.
Step-by-step explanation:
x% confidence interval -> Options c, d and e:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
This means that options d and e are correct, while option c is not true.
Option a -> Critical Value:
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
This means that option A is true.
Estimate of the standard error:
Before building the estimate, we should take a look at the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
26 of 75 seniors:
This means that:
[tex]p_s = \frac{26}{75} = 0.3467, s_s = \sqrt{\frac{0.3467*0.6533}{75}} = 0.055[/tex]
15 of 70 juniors:
This means that:
[tex]p_j = \frac{15}{70} = 0.2143, s_j = \sqrt{\frac{0.2143*0.7857}{70}} = 0.049[/tex]
Estimate of the standard error:
[tex]s = \sqrt{s_s^2 + s_j^2} = \sqrt{0.055^2 + 0.049^2} = 0.074[/tex]
Thus option b is correct.
Someone help me with this last question i cant do?
sebuah kubus memiliki volume 1.331 cm³ panjang rusuk kubus adalah
Menjawab:
1.1 cm
Penjelasan langkah demi langkah:
Volume kubus, V = a³
Dimana a = panjang sisi kubus
Untuk V = 1.331 cm³
Panjang sisi 'a' adalah:
V = a³
1,331 = a³
Ambil akar pangkat tiga dari kedua sisi
(1,331) ⅓ = a
a = 1,1 cm
How to solve 4x - 5 = 2x + 19?
Answer:
x = 12
Step-by-step explanation:
4x - 5 = 2x + 19
First subtract the 2x from 4x.
2x - 5 = + 19
Then add the 5 to the 19.
2x = 24
Divide 24 by 2 in order to get x by itself.
x = 12
9 - x < - 11
Show steps please
Answer: x > 20
Step-by-step explanation:
9 - x < - 11
In this scenario, we've to collect like terms in order to.wolve for x. This will be:
9 - x < - 11
- x < - 11 - 9
- x < - 20
Divide both side by -1
-x/-1 < -20/-1
When we divide by a coefficient with minus sign, the sign changes too from less than to greater than
-x/-1 < -20/-1
x > 20
!!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the solution for the equation 2x+8=28?
Answers above
Answer:
x = 10
Step-by-step explanation:
Answer:
6.666666667
Step-by-step explanation:
3x+8=28
Subtract 8 from both sides.
3x=28−8
Subtract 8 from 28 to get 20.
3x=20
Divide both sides by 3.
[tex]x=\frac{20}{3}[/tex]
[tex]x=\frac{20}{3}[/tex] =>[tex]6\frac{2}{3}[/tex] => 6.666666667
- Save & Exit Certify
Lesson: 4.1 Introduction to the Cartesian C...
Question 3 of 10, Step 1 of 2
0/20
Correct
Consider the following equation.
2x - 2y = 10
Step 1 of 2: Determine the missing coordinate in the ordered pair (-3, ?) so that it will satisfy the given equation.
Answer
How to enter your answer
Answer:
(-3, -8)
Step-by-step explanation:
2x-2y=10
ordered pair given x=-3
then 2 (-3) - 2y=10
-6-2y=10
-2y=16
y=-8
If f(x)= x + x and g(x)= x-3, find g(7)).
Answer:
4
Step-by-step explanation:
I guess u need to ignore f(x) for this one.
g(x) =x-3
g(7)=7-3
= 4
examples of quadrilateral and it's features
un cuadrilátero es un polígono con cuatro aristas y cuatro vértices
Los elementos o características de un cuadrilátero son los siguientes:
4 vértices: puntos de intersección de los lados que conforman el cuadrilátero.
4 lados: segmentos que unen los vértices contiguos.
2 diagonales: segmentos cuyos extremos son dos vértices no contiguos.
4 ángulos interiores: el determinado por dos lados contiguos.
4 ángulos exteriores: el determinado por la prolongación de uno de los lados sobre un vértice y el contiguo en el mismo vértice.
Un incentro, centro de la circunferencia inscrita.
La suma de sus ángulos interiores es igual a 360º
Los cuadriláteros se clasifican según el paralelismo de sus lados, sus longitudes y sus ángulos interiores:
Paralelogramo: sus lados opuestos son paralelos.
Cuadrado: todos sus lados son iguales, todos sus ángulos interiores son rectos, sus diagonales son iguales y perpendiculares entre sí, tiene una circunferencia inscritas y otra circunscrita, además todos los cuadrados son semejantes entre sí .
Rombo: todos sus lados son iguales, cada par de ángulos agudos y obtusos son opuestos, sus diagonales son distintas y perpendiculares entre sí, son bisectrices, tiene una circunferencia inscrita.
Rectángulo: sus lados opuestos son iguales dos a dos y los paralelos, todos sus ángulos interiores son rectos, sus dos diagonales son iguales pero no son perpendiculares entre sí y tiene una circunferencia circunscrita.
Romboide: sus lados opuestos son iguales dos a dos, cada par de ángulos agudos y obtusos son opuestos, sus dos diagonales son de distinta longitud y no son perpendiculares entre sí.
Trapecio: En geometría, se llama trapecio a un cuadrilátero que tiene dos lados no consecutivos paralelos llamados bases del trapecio, y el segmento perpendicular entre las dos bases y su propia longitud son llamadas altura del trapecio
Trapezoide: En geometría euclídea plana, un trapezoide es un cuadrilátero convexo sin lados paralelos.
Ejemplos de cuadriláteros:
Solve for x.
x = [?]
4x - 16
2x + 16,
Answer:
Solution given:
4x-16+2x+16=180{linear pair are supplementary]
6x=180
x=180/6
x=30
is a required answer.
HELP ME!!! 4- 5/8 =?
Answer:
27/8
Step-by-step explanation:
1.) 4-5/8
Convert element to fraction
2.) 4 x 8/8-5/8
3.) 4 x 8-5/8
4.) 27/8