Answer:
Step-by-step explanation:
1. perpendicular slope will be the negative of the reciprocal
2. so this will be -3 ( since the reciprocal of 1/3 is 3 and its negative is -3
3. So use the values given for x and y (3,-4)
4. substitute in the given equation using the -3 for the slope instead of 1/3
5. To find a new b we substitute for x and y
5. y = 1/3x + 10
6. -4 = -3 (3) + b
7. -4= -9+ b
8. b = 5
Equation of the line will be y = -3x + 5
pls just look at the pic to find the question
What is the area of an equilateral triangle with sides of length 20?
Answer:
173.2
Step-by-step explanation:
area of equilateral triangle = √3 / 4 l^2
so area =173.2
F(x)=x^2+1 what is f(f(x))?
Answer:
Answer
Find out f(f(x)) .
To prove
As given in the question
f(x) = x² + 1
Now
f(f(x)) = f (x² + 1)
Now find out the value of f (x² + 1).
f(f(x)) = f (x² + 1)
= (x² + 1)² + 1
Using formula
(a + b)² = a² + b² + 2ab
Apply in the above function
f(f(x)) = (x² + 1)² + 1
f(f(x)) = [tex]x^{4}[/tex] + 1 + [tex]2x^{2}[/tex] + 1
Simplify
f(f(x)) = [tex]x^{4}[/tex] + [tex]2x^{2}[/tex] + 2
Thus the value of f(f(x)) is: f(f(x)) = [tex]x^{4}[/tex] + [tex]2x^{2}[/tex] + 2
Step-by-step explanation:
In 2013 the most expensive cocktail (made with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?
Answer:
$14,000
Step-by-step explanation:
Three of 25 students in an art class are left-handed. in another words, 12% of the students in the class are left handed what does number 3 represent
Answer:
The number of students that are left handed
Step-by-step explanation:
Answer:
it represent 3 students
Two forces of 90 newtons and 58 newtons act simultaneously on an object. The angle between the two forces is 57°. Find the magnitude of the resultant, to the nearest 10th of a newton.
Answer:
131.0 N
Step-by-step explanation:
Let the 90 N force is acting a horizontal force on the object
Horizontal force = 90 + 58sin33
Vertical force = 58cos33
∴The resultant force = √(90 + 58sin33)² + (58cos33)²
= 131.0 N
Ryan earns $20 for every lawn that he mows.
How much will Ryan earn if he mows 15 lawns?
20*15=300
It's "too short", but there's not much else to say here.
Answer:
Ryan will earn $300 if he mows 15 lawns.
Step-by-step explanation:
$20 × 15 = $300
Day Care Tuition A random sample of 50 four-year-olds attending day care centers provided a yearly tuition average of $3987 and the population standard deviation of $630. Find the 90% confidence interval of the true mean. If a day care center were starting up and wanted to keep tuition low, what would be a reasonable amount to charge
Answer:
We have to find the 90% confidence interval for the mean
Given sample size
Sample mean
Population standard deviation
Here the confidence level is 90% then
And
The 90% confidence interval is
Here is the critical value at 0.05
From the tables
Now the 90% confidence interval is =
=
=(3840.44, 4133.56)
Hence the 90% confidence interval for the mean is (3840.44, 4133.56)
g The distribution of the monthly amount spent on childcare in a Midwestern city has a mean of $675 and a standard deviation of $80. A random sample of 64 families in this city paying for childcare is selected. Find the probability that the sample mean is less than $650. (Round the result to 4 decimal places.)
Answer:
0.0062 = 0.62% probability that the sample mean is less than $650.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
Mean of $675 and a standard deviation of $80.
This means that [tex]\mu = 675, \sigma = 80[/tex]
A random sample of 64 families in this city paying for childcare is selected.
This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]
Find the probability that the sample mean is less than $650.
This is the pvalue of Z when X = 650.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{650 - 675}{10}[/tex]
[tex]Z = -2.5[/tex]
[tex]Z = -2.5[/tex] has a pvalue of 0.0062
0.0062 = 0.62% probability that the sample mean is less than $650.
The probability that the sample mean is less than $650 is 0.62%.
The z score is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]
From the normal distribution table:
P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%
The probability that the sample mean is less than $650 is 0.62%.
Find out more at: https://brainly.com/question/15016913
can someone please help me with this? i don’t understand. thank you!
Step-by-step explanation:
A train travels 240 miles in 6 hours, moving at a constant speed.
How long will it take the train to travel 360 miles at this speed?
1.5 hours
2.5 hours
9 hours
O 60 hours
CAN SOMEONE HELP ME PLS
Answer:
Step-by-step explanation:
speed = 240 miles/(6 hours) = 40 miles/hour
360 miles × 1 hour/(40 miles) = 9 hours
What are the next terms in the sequence 19, 36, 53,70
Please help me I don’t understand
Answer:
x = 25
Step-by-step explanation:
By tangent of properties, we can get that triangle DBA is congruent to triangle DCA,
Thus, we come to the conclusion that 2x + 3 = 53
x = 25
Help me with 15 :)plz
What is the approximate area inside the rectangle but
outside the semicircle?
Answer:
128 - 32pi
OR
27.469
Step-by-step explanation:
The area of the rectange is 8 x 16 = 128
The area of the semicircle is pi * 8^2 divided by 2
(pi * 8^2)/2
(pi * 64)/2
pi * 32
So the area of the rectangle outside the semicircle is: 128 - 32pi
In approximate form it is: 27.469
Mr. Lau works at a bicycle factory. He gets a half-hour lunch break. If he goes to lunch at 12:32, at what time does he need to be back?
Answer:
1:02
Step-by-step explanation:
There are 30 minutes in a half-hour, so add this to the time he left:
12:32 + 30 mins
= 1:02
He will need to be back at 1:02
Solve using the linear combination method.
4x - 3y = 26
3x + 2y = 11
Answer: X= 5
Step-by-step explanation:
I think that's the answer your looking for??
help meeeeeee its all due toad
Well, the answer would bee 1/10 for a simple reason: the 3 in 7.315 is in the tenth's spot while the 3 in 893.5 is in the ones. a one spot different that can be proven with logic.
what is the slope of the line passing through po bye A and B?
What is an LMS Update in FLVS
LMS: Learning management systems
Answer: LMS
Step-by-step explanation:
Last Monthly Sign-in
i need helpon this
please
whats an equivalent expression for 4 + 4n
Answer:
4(1+n)
Step-by-step explanation:
4+4n
4+4n
Factor the polynomial 4+4n by it's GCF: 4
4\left(1+n\right)
4(1+n)
plzzzzz help me plz plz plz
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 11.52
Explanation:
1.28 x 9 = 11.52
I hope this helped!
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What type of function can be used to model the scenario?
Jack adds 2 quarters to his piggy bank each week.
Question 5 options:
Linear
Exponential
Quadratic
Answer:
linear
Step-by-step explanation:
Buffer stock is the level of stock
Answer:
akuy3uwujwu
Step-by-step explanation:
uwoedihwo
Answer:
Safety stock inventory, sometimes called buffer stock, is the level of extra stock that is maintained to mitigate risk of run-out for raw materials or finished goods due to uncertainties in supply or demand.
HOPE IT HELPS...
HAVE A GREAT DAY : P
solve for x please help asap! 20 points
Answer:
25x-21 would be my best guess!
En una habitación del Grand Hotel de Indianápolis se pueden hospedar un máximo de 2 personas. Si el hotel cuenta con 12 pisos y cada piso con 12 habitaciones. ¿Cuántas personas pueden hospedarse en el hotel al no haber vacantes?
Answer:
la solucion es 288
Step-by-step explanation:
porque 12 pisos •12 habitaciones es 144 habitaciones y multiplicar 144 con 2 personas tenemos 288.
espero que esto ayude!!
How much time will it take for an amount of Rs900 to yield Rs81 as interest at 4.5% per annum of simple interest
Answer:
T=2 years.hope it will help u.
What is the approximate area of the figure below?
Answer:
96
Step-by-step explanation:
Please help it’s pretty easy and I’ll reward brainiest