Answer:
14.5 feet
Step-by-step explanation:
the midpoint is halfway from 30 to 45 so be(bart elevation) b.e = 45 - 30 / 2
7.5 m above sea level
__________________________________________________________
Step-by-step explanation:We are given:
The elevation of Homer = -30 feet [30 feet below sea level]
The elevation of Marge = +45 feet [45 feet above sea level]
The elevation of Bart is at the exact mid-point of the elevations of Homer and Marge
The elevation of Bart:
We are given that the elevation of Bart is at the exact mid-point of the elevations of Homer and Marge
So, Half the distance between the elevation of Homer and Marge is the elevation of Bart
Elevation of Bart (with respect to the elevation of Homer) =
(elevation of Marge - Elevation of Homer) / 2
replacing the variables with the suitable values:
(+45 - (-30))/2
(45 + 30) / 2
75 / 2
Elevation of Bart (w.r.t. Homer) = 37.5 feet
Since this is the elevation of Bart with respect to Homer, we can say that Bart is 37.5 m above Homer
So, we can say that:
Elevation of Bart (w.r.t Homer) = Elevation of Bart - Elevation of Homer
replacing the values
37.5 = Elevation of Bart -(-30)
37.5 = Elevation of Bart + 30
Elevation of Bart = 7.5 m above sea level [subtracting 30 from both sides]
Ava was looking for treasure.
She looked on a sandy beach. The
length of the beachy spot was 2 1/4
feet by 1 1/2 feet. What was the
area of the beachy spot?
Find the volume
Please show the steps
A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of 50 cm/s, and if there is no damping, determine the position u of the mass at any time t. (Use g = 9.8 m/s2 for the acceleration due to gravity. Let u(t), measured positive downward, denote the displacement in meters of the mass from its equilibrium position at time t seconds). What does u(t) equal?When does the mass first return to its equilibrium position? (What does t in seconds equal?)
Answer:
Step-by-step explanation:
Given that:
mass m = 100 g = 0.1 kg
Length of the spring = 5 cm = 0.05 m
The set in motion from the equilibrium position u(0) = 0
The set in motion from its equilibrium position with a downward velocity u'(0) = 50 cm/s = 0.5 m/s
The spring constant (k) = [tex]\dfrac{0.1 \times 9.8}{0.05}[/tex]
The equation of the system is expressed as:
[tex]\dfrac{1}{10} u'' + \dfrac{98}{5} u =0[/tex]
By estimating the characteristics equation, we have r = ± 14[tex]i[/tex]
Thus; the general solution is:
[tex]u(t) = c_1cos \ 14t + c_2 sin 14 \ t[/tex]
By applying the initial condition:
u(0) = 0
⇒ 0 = [tex]c_1[/tex]
∴
[tex]\dfrac{du}{dt} = ( - c_1 \ sin 14 t )\times 14 +14c_2 \ cos 14 t[/tex]
u'(0) = 0.5
0.5 = 14 × c₂
c₂ = 0.5/14
c₂ = 1/28
∴
[tex]\mathbf{u(t) = \dfrac{1}{28} sin 14 t}[/tex]
Equating u(t) = 0, we have t = π/14sec as the time when the mass first returns to its equilibrium position.
can yall plz help me with this science qustion
Answer:
True
Step-by-step explanation:
What is greater, 500 g or 0.5 kg?
Answer:
they are equal
0.5kg is 500g
Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a certain year in the past. Suppose a sample of 100 major league players was taken. The probability that the mean salary of the 100 players exceeded $3.26 million is:________a. 0.0228b. 0.9772c. approximately 1d. approximately 0
Answer:
b) 0.0228
Step-by-step explanation:
We use the z score formula when given random number of samples =
z = (x-μ)/σ/√n where
x is the raw score = $3.5 million
μ is the population mean = $3.26 million
σ is the population standard deviation = $ 1.2 million
n = random number samples = 100
Hence,
z = 3.5 - 32.6/1.2/√100
z = 3.5 - 32.6/1.2/10
z = 3.5 - 3.26/0.12
z =2
Probability value from Z-Table:
P(x<3.5) = 0.97725
P(x>3.5) = 1 - P(x<3.5)
P(x>3.5) = 1 - 0.97725
P(x > 3.5) = 0.02275
Approximately ≈ 0.02278
The approximate probability that the mean salary of the 100 players exceeded $3.5 million is 0.02278
What is the equation of a line that goes through the point (0, -5) and has a slope of -3?
Answer:
y = -3x - 5
Step-by-step explanation:
The equation of a line is given as either:
[tex]y = mx + b[/tex] where m is the slope, and b is the y-intercept.
or
[tex]y-y_{1} = m(x-x_{1} )[/tex] where given that you have a point (x, y), y₁ is the y-value of the point, m is the slope, and x₁ is the x-value of the point.
We can just plug in the point (0, -5) into the second equation and -3 for the slope.
However, (0, -5) tells us that this point must be a y-intercept, since the x-value of that point is 0. So, we can also just plug into the first equation -5 for the y-intercept and -3 for the slope.
So, we get:
y = -3x + (-5)
Which simplifies into:
y = -3x - 5
Answer:
i dont know
Step-by-step explanation:
1. 8x^2 + 10x - 9
2. 3x^4 - 14x^2 - 9
3. 4x^2 + 5x - 9
4. 8x^2 + 10x - 18
Answer:
4.
Step-by-step explanation:
(x^2 + 7x - 9) + (3x^2 - 2x) + (x^2 + 7x - 9) + (3x^2 - 2x)
x^2 + 7x - 9 + 3x^2 - 2x + x^2 + 7x - 9 + 3x^2 - 2x
Rearranging order:
3x^2 + 3x^2 + x^2 + x^2 + 7x + 7x - 2x - 2x - 9 - 9
Combine like terms
8x^2 + 10x - 18
A random sample of 1028 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1028 adults surveyed, 521 indicated that televisions are a luxury they could do without.
Answer:
lol
Step-by-step explanation:
what is the question
Hhhhhhhhhhhhhheeeeelllpppppp
Answer:
c
Step-by-step explanation:
FOR 20 POINTS!!!!! Luis has $12 and wants to buy 6.6 pounds of apples. Apples cost $1.80 per pound. Luis rounded each value and estimated that he does not have enough money to cover the cost of the apples before sales tax is applied. Which best explains how his estimate relates to the actual product? Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. Because each value rounds up, his estimate is higher than the actual product. He does not have enough money to buy the apples. Because each value rounds up, his estimate is lower than the actual product. He does not have enough money to buy the apples. Because each value rounds up, his estimate is lower than the actual product. He might have enough money to buy the apples.
Answer: Hope this helps.
Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. So A.
Step-by-step explanation:
We don't actually know what it was that Luis was estimating. Assuming he was estimating the cost of the apples he wants to buy, rounding up both the price and quantity will give an estimate of $2/lb × 7 lb = $14, which is more than he has to spend.
Luis could refine his estimate by realizing the actual price is 10% less than the vaue he used, and the actual quantity is not quite 6% less than the value he used. The amount Luis has is about 14% less than the cost he estimated, so considering estimation errors, he probabaly has enough money.
The best choice among the answers is the one shown above.
Jay works at a sandwich shop. He needs to make 7 turkey sandwiches. Each sandwich will have 1/3 of a pound of turkey. How many pounds of turkey will Jay need to make the sandwiches? Remember what of means! And remember to press submit after you answer the question
Answer:
Jay will need 2 and 1/3 pounds of turkey.
Step-by-step explanation:
Since Jay uses 1/3 per sandwich and is making 7, multiply 7 by 1/3.
That gets you 7/3s
Convert it into a mixed number.
3 goes into 7 twice, with one third left over.
So, Jay needs 2 1/3.
hope this helped!
Answer:
approximately 2.3 pounds of turkey. Trust the BlueDragon
Step-by-step explanation:
7 times 1/3= 2.33333
Probability please answer♀️ Helppp please
find the expectation e(x) and variance var(x) for the task
suppose you choose a real number x from the interval [2, 10] with a density function of the form f(x) = c/x , where c is a constant
Step-by-step explanation:
Let X be a random variable with PDF given by
fX(x)={ cx2 |x|≤1 0 otherwise
Find the constant c.
Find EX and Var(X).
Find P(X≥
1
2
).
Talbot Family has a monthly income of $3,200. They spend $800 on rent what percentage of the Talbot family is spent of rent?
Answer:
800/3200= .25 or 25%
you must divide the rent by the monthly income.
how many 7/8 cup servings are in 1/2 cup of juice?
What is the most logical explanation for why kilo is a more important prefix to remember than ""tera"" (the metric prefix for 1 trillion)?
We want to compare two prefixes, kilo and tera, and see why one seems to be more important than the other.
The prefix "kilo" is used for thousands, while the prefix "tera" is used for trillions.
Now if you go to your day-to-day life, you will see that the thousands appear a lot more than the trillions.
For example, is more common to walk one or two kilometers than one terameter.
Or also is more common to buy a kilogram of potatoes than one teragram of potatoes.
This is mainly why kilo is more important (actually is more used, I wouldn't say that is more important) than tera.
If you want to learn more you can read:
https://brainly.com/question/5470764
Help pleaseee!
Thank you!
Answer:
The fourth graph
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
Find the smallest side of RST, given that
Answer:
doesn't it give you the angles for each letter? If that is the case then it would be 33
Step-by-step explanation:
May I have brainliest please? :)
Answer:
RT
Step-by-step explanation:
RT
Since angle S is the smallest angle, the smallest side is opposite that.
The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounces and a standard deviation of 0.3 fluid ounce. A drink is randomly selected.
Required:
a. Find the probability that the drink is less than fluid ounces.
b. Find the probability that the drink is between and fluid ounces.
c. Find the probability that the drink is more than fluid ounces. Can this be considered an unusual event? Explain your reasoning.
Complete Question
The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounces and a standard deviation of 0.3 fluid ounce. A drink is randomly selected.
Required:
a) Find the probability that the drink is less than 11.9 fluid ounces
b) Find the probability that the drink is between 11.6 and 11.9 fluid ounces
c) Find the probability that the drink is more than 12.6 fluid ounces. Can this be considered an unusual event? Explain your reasoning.
Answer:
a
[tex] P(X < 11.9 ) = 0.25239 [/tex ]
b
[tex]P( 11.6 < X < 11.9 ) = 0.20463 [/tex]
c
[tex] P(X > 12.6 ) = 0.047757 [/tex ]
Yes It is an unusual event
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 12.1[/tex]
The standard deviation is [tex]\sigma =0.3[/tex]
Generally the probability that the drink is less than 11.9 fluid ounces is mathematically represented as
P(X < 11.9 ) = P(\frac{X -\mu}{\sigma } < \frac{11.9 - 12.1}{0.3} )
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex] P(X < 11.9 ) = P(Z< -0.667 ) [/tex ]
From the z table the area under the normal curve to the left corresponding to -0.667 is
P(Z< -0.667 ) = 0.25239
So
[tex] P(X < 11.9 ) = 0.25239 [/tex ]
Generally the probability that the drink is between 11.6 and 11.9 fluid ounces is mathematically represented as
[tex] P( 11.6 < X < 11.9 ) = P( \frac{11.6 -12.1}{0.3} < \frac{X -\mu}{\sigma } < \frac{11.9 - 12.1}{0.3} ) [/tex]
[tex]P( 11.6 < X < 11.9 ) = P( -1.667 < Z < -0.667 ) [/tex]
=> [tex]P( 11.6 < X < 11.9 ) = P( Z < -0.667) - P ( Z < -1.667 ) [/tex]
From the z table the area under the normal curve to the left corresponding to -1.667 is
P(Z< -1.667 ) = 0.047757
So
[tex]P( 11.6 < X < 11.9 ) = 0.25239 - 0.047757 [/tex]
=> [tex]P( 11.6 < X < 11.9 ) = 0.20463 [/tex]
Generally the probability that the drink is more than 12.6 fluid ounces is mathematically represented as
P(X > 12.6 ) = P(\frac{X -\mu}{\sigma } > \frac{12.6 - 12.1}{0.3} )
[tex] P(X >12.6 ) = P(Z> 1.667 ) [/tex ]
From the z table the area under the normal curve to the right corresponding to 1.667 is
P(Z> 1.667 ) = 0.047757
So
[tex] P(X > 12.6 ) = 0.047757 [/tex ]
Given that this probability is less than 0.05 , it mean it is an unusual event
-5(2× - 4)=2(x - 8) with work please :)
Answer:
Step-by-step explanation:
−5(2)(−4)=2(x−8)
Simplify both sides of the equation.
−5(2)(−4)=2(x−8)
−5(2)(−4)=(2)(x)+(2)(−8)(Distribute)
40=2x+−16
40=2x−16
Step 2: Flip the equation.
2x−16=40
Step 3: Add 16 to both sides.
2x−16+16=40+16
2x=56
Step 4: Divide both sides by 2.
2x/2 = 56/2
x=28
Find the number for which:
75% is 4.5 cm
Please answer fast
7. Is the simplified form of 2 square root of 3 · square root of 12 rational? (1 point)
Yes
No
Answer:
Yes it is
Step-by-step explanation:
Because
2) x (sqrt 3) times (sqrt 12)
Two is also equivalent to sqrt of 4. The operation may be expressed as,
(sqrt 4) x (sqrt 3) x sqrt (12)
The product is sqrt (144). This gives an answer of 12 and it is rational.
So, the answer is Yes!
Hope this helped! :)
May i have brainliest!
Answer:
Yes it is
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
12 is the answer and 12 is a rational number
Radicand = The number under the inclusion bar of the radical sign.
Product = The result of two numbers being multiplied together.
Factor = One of two or more expressions that are multiplied together to get a product.
Miss Holman bought a meal that cost $6.25. She gave her server $1.25 tip. What percent did she tip her server?
Answer:
20%
Step-by-step explanation:
6.25 times 20% or 0.2 = 1.25. therefore she tipped the sever 20% of the total cost of her meal.
8x-2 (6x + 4) simplify by using the distributive property
Answer:
48x^2+ 20x-8
Step-by-step explanation:
Which term best describes objects that have length, width, and height?
A. Two-dimensional
B. One-dimensional
C. Three-dimensional
D. Zero-dimensional
Answer:
C
Step-by-step explanation:
hope this helps
Answer: c
Step-by-step explanation:
2.2.PS-16
Challenge Schools A and B are competing in an academic contest. Correct answers earn 9 points.
Incorrect answers lose 2 points. In the final round, School A gives the same number of correct and
incorrect answers. School B gives no incorrect answers and the same number of correct answers as
School A. School A started the final round with 62 points. School B started with 24. The game ends
with the two schools tied. Let x represent the number of correct answers given by School A in the final
round. Write an equation that models the outcome of the contest. Then find the number of answers
that each school got correct in the final round.
Which equation models the scoring in the final round and the outcome of the contest?
OA. 9x + 2x - 62 = - 9x + 24
OB. 2x-9x + 62 = 9x + 24
OC. 9x - 2x - 62 = 9x + 24
OD. 9x - 2x + 62 = 9x + 24
Answer:
9x - 2x + 62 = 9x + 24
Number of correct answer each obtained = 19
Step-by-step explanation:
Given that:
Number of correct answers = x
POINTS for correct answers = 9
POINTS for incorrect answers = - 2
SCHOOL A:
Number of correct answers = x
Number of incorrect answers = x
Initial point = 62
Initial point + 9(number of correct answers) + - 2(number of incorrect answers)
62 + 9x - 2x
SCHOOL B :
Number of correct answers = x
Number of incorrect answers = 0
Initial point = 24
Initial point + 9(number of correct answers) + - 2(number of incorrect answers
24 + 9x
Since they end up tied :
School A = School B
62 + 9x - 2x = 24 + 9x
9x - 2x + 62 = 9x + 24
Number of correct answers gotten :
9x - 2x + 62 = 9x + 24
7x + 62 = 9x + 24
7x - 9x = 24 - 62
-2x = - 38
x = 19
Hence, Number of correct answers each obtained = 19
Suppose 52R% of the population has a college degree. If a random sample of size 808808 is selected, what is the probability that the proportion of persons with a college degree will be less than 54T%
Answer:
The probability is [tex]P( p < 435.82 ) = 0.54094[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 54% = 0.54
The sample size is n = 808
Generally the distribution of the population with college degree follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
Generally the mean is mathematically represented as
[tex]\mu = n * p[/tex]
=> [tex]\mu = 808 * 0.52[/tex]
=> [tex]\mu = 420.16[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{np(1- p )}[/tex]
=> [tex]\sigma = \sqrt{808 * 0.52(1- 0.52 )}[/tex]
=> [tex]\sigma = 14.2[/tex]
Generally 54% of the population proportion is
[tex]\^ p = 0.54 * 808[/tex]
=> [tex]\^ p = 436.32[/tex]
Generally by normal approximation of the binomial distribution the probability that the proportion of persons with a college degree will be less than 54% is mathematically evaluated as
[tex]P(p < \^ p ) = P(\frac{p - \mu }{\sigma } < \frac{\^ p - \mu }{\sigma } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P(p < 436.32 ) = P( Z < \frac{436.32 - 420.16 }{14.20 } )[/tex]
applying continuity correction
[tex]P(p < (436.32-0.5) ) = P( Z < \frac{(436.32-0.5) - 420.16 }{14.20 } )[/tex]
=> [tex]P(p < (435.82 ) = P( Z < \frac{435.82 - 420.16 }{14.20 } )[/tex]
=> [tex]P(p < (435.82 ) = P( Z < 0.1028 )[/tex]
From the z table the area under the normal curve to the left corresponding to 0.1028 is
[tex]P( Z < 0.1028 ) = 0.54094[/tex]
=> [tex]P( p < 435.82 ) = 0.54094[/tex]
does anyone know how to do this?
Answer:
112
Step-by-step explanation:
beacuse 180-68=112
Can you please give me more answers?
Answer:
more answers on wht
Step-by-step explanation:
Answer:
wdym more answers ? there isn't a question
Step-by-step explanation:
Graph the equation y = 3x - 6
Select two points to graph the line.
Answer:
y intercept is -6 put your first point on that y intercept
Step-by-step explanation:
from -6 rise 3 and run 1 (to the right )
whats that point ? (0,2)
from that point 2.... run 1 ( to the right and up 3) that will take from x4 to y6
(0,2) (4,6) Two points
y2 -y1 = 6
x2-x1 =2
6/2 simplified is 3/1
Make sense?