Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Given the expression;
[tex]\lim_{x \to \infty} \dfrac{x+x^2}{5x^2}[/tex]
To find the limit of the function, we need to first divide through by the highest degree if x i.e x² as shown;
[tex]\lim_{x \to \infty} \dfrac{\frac{x}{x^2} +\frac{x^2}{x2}}{\frac{5x^2}{x^2} }\\ \lim_{x \to \infty} \frac{\frac{1}{x}+ 1 }{5}\\As \ x \ tends \ to \ \infty, \ \frac{1}{x} \ tends \ to \ zero. \ Hence;\\ \lim_{x \to \infty} \frac{\frac{1}{x}+ 1 }{5} = \frac{0+1}{5}\\= \dfrac{1}{5}[/tex]
Hence the limit of the function as x tends to infinity is [tex]\frac{1}{5}[/tex]
-4(5x - 3) + 15
Solved please!
Answer:
Step-by-step explanation:
-20x + 12 + 15
-20x + 27
When rounded to the nearest thousand and elephant weight is 5,000 pounds. What is the least amount the elephant could weigh?
Answer:
4500
Step-by-step explanation:
As long as your number isn't less than 500, it will always round up.
The required least weight of the elephant is 4500 pounds.
Given that,
When rounded to the nearest thousand an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh is to be determined.
The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here, in the question, the rounded value of the elephant is given which is 5000 pounds, the least value that can be round to the nearest hundred is 4500.
Thus, the required least weight of the elephant is 4500 pounds.
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plssss i need help rn
Answer:
3
Step-by-step explanation:
(x₁ , y₁) = (-1 , -2) & (x₂ , y₂) = (3 , 10)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{10-[-2]}{3-[-1]}\\\\=\frac{10+2}{3+1}\\\\=\frac{12}{4}\\\\=4[/tex]
m = 4
y - y₁ = m (x - x₁)
y - [-2] = 4(x - [-1])
y + 2 = 4(x + 1)
y + 2 = 4x + 4
y = 4x + 4 - 2
y = 4x + 2
Convert as indicated.
108 ounces to pounds
Answer:
108 ounces is equal to 6.75 pounds.
Step-by-step explanation:
Answer:
Your answer is: 6.75 pounds
108 ounces equal to about 7 pounds if you round.
Step-by-step explanation:
Hope this helped : )
Reduce the fraction and find the domain.
[tex]\frac{a(x-2y)}{b(2y-x)}[/tex]
Thanks!
Answer:
-a/bStep-by-step explanation:
a(x - 2y)/b(2y - x) = ⇒ consider x - 2y = - (2y - x)-a(2y - x)/b(2y - x) =-a/bThe store buys easels for 10.20 each he marks up the cost by 75% to get the selling price what is the selling price of each easel? show your work
PLZ HELP I BEG U!!!!!! ILL MARK U BRAINLIEST
Create a story using the inequality symbols , ≤,≥,≠ . the story must be creative, detailed, coherent, and written clearly. it does not have to be solely math related.
Answer:
T_T said to 个_个: Hallo, I am so happee!!!
Step-by-step explanation:
Plz mark as Brainliest!
A. 0.75s+0.4t=980
B. 0.75s-0.4t=980
C. 0.75s+0.04t=980
D. 0.75s-0.04t=980
In a clinical trial of oxycodone, 16 subjects experience headaches among the 227 subjects treated with oxycodone. Construct a 95% confidence interval for the proportion of treated subjects who experience headaches. Provide both probabilistic and practical interpretations. (Hint: this is proportion problem).
Answer:
95% Confidence Interval = (0.037, 0.104)
Step-by-step explanation:
The formula for Confidence Interval if a proportion is:
p ± z × √p(1 - p)/n
z = z score of a 95% confidence interval = 1.96
p = proportion = x/n
x = 16, n = 227
p = 16/227
p = 0.0704845815
≈ 0.0705
Confidence Interval
= 0.0705 ± 1.96 × √0.0705(1 - 0.0705)/227
= 0.0705 ± 1.96 × √0.0002886773
= 0.0705 ± 0.0333013921
Confidence Interval
= 0.0705 - 0.0333013921
= 0.0371986079
≈ 0.037
= 0.0705 + 0.0333013921
= 0.1038013921
≈ 0.104
Hence, 95% Confidence Interval = (0.037, 0.104)
Which of the following ratios is not equivalent to 2:10
A.1/5
B.2/5
C.4/20
D.6/30
Answer:
D because 6/30 is not the same as 2:10
Answer:
2/5 is not equibalent to 2:10
Step-by-step explanation:
2:10
1/5 × 2 = 2/10
2/5 × 2 = 4/10
4/20÷2 = 2/10
6/30÷3 = 2/10
What is the absolute value of -8.35
Answer:
8.35
Step-by-step explanation:
To get absolute value, just make it the opposite
Answer: |-8.35| = 8.35
Step-by-step explanation: |-8.35| = 8.35
The time taken by artisans A. B and C to do an
embroidery job is 15 hours, 18 hours, and 15 hours.
respectively. A, B, and C begin working together but
after 3 hours B is put on another job. How long will A
and C take to finish the embroidery job?
Answer:
3 hours 15mins
Step-by-step explanation:
in 1 hours time, A will complete 1/15 of the job, B will complete 1/18 and C 1/15.
After 3 hours, A completed 3/15 (aka 1/5) of the job, B 3/18 (aka 1/6) and C being the same as A.
total job done after 3 hrs is 1/5 + 1/6 + 1/5 which is 17/30 of the job
left: 13/30
in 1 hr, A and C will do 2/15 of the job (4/30)
therefore, no. of hours needed: 13/4 hours = 3.25 hours (3 hours 15mins)
Which is a simplified form of the expression -6a + 2(2a + 2)?
A. -2a + 4
B. -2a – 4
C. 2a + 4
D. 2a – 4
Answer:
A.
Step-by-step explanation:
We have the expression:
[tex]-6a+2(2a+2)[/tex]
First, let’s distribute the 2 on the right:
[tex]=-6a+2(2a)+2(2)[/tex]
Multiply:
[tex]=-6a+4a+4[/tex]
Now, combine like terms:
[tex]=-2a+4[/tex]
Hence, our answer is A.
Answer:
a
Step-by-step explanation:
(04.04 LC)
On a coordinate grid, point T is at (2,-4) and point S is at (2,6). The distance (in units) between points T and S is
numbers, such as 2.)
Answer:
The distance between T and S is 10 units.
Step-by-step explanation:
Given the points
T(2, -4)S(2, 6)[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
The distance between T and S is:
[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]
[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]
[tex]=\sqrt{0+10^2}[/tex]
[tex]=\sqrt{10^2}[/tex]
[tex]=10[/tex] ∵ [tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
Therefore, the distance between T and S is 10 units.
what is the slope of the line
Answer:
y-mx+b
Step-by-step explanation:
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]
What is Gia's final number if her starting number is 9?
) Gia's final number is
Plaseeeeeeeeee
Answer:26
Step-by-step explanation:
Gia's final number, if her starting number is 9 is 22
How to determine Gia's final number?The rule of Gia's number is given as:
y = 2x + 4
Where x represents the starting number and y represents the final number.
Substitute 9 for x in y = 2x + 4
y = 2 * 9 + 4
Evaluate
y = 22
Hence, Gia's final number is 22
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Find the unit rate from the graph :
Answer:
There are 5 sales per minute!
Step-by-step explanation:
A unit rate is a ratio between two different units with a denominator of 1. To calculate the unit rate, divide the numerator by the denominator. The resulting decimal number is the unit rate. Basically 5 is the unit rate! 5/1 is 5!
An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonetheless fails the test) is 0.25. Let x be the number of trustworthy FBI agents tested until someone fails the test. (Round your answers to four decimal places.)(a) Describe the probability distribution of x.
normalgeometric binomial(b) What is the probability that the first false-positive will occur when the third person is tested?(c) What is the probability that fewer than four are tested before the first false-positive occurs?(d) What is the probability that more than three agents are tested before the first false-positive occurs?
Answer:
???
Step-by-step explanation:
8
Find the circumference of the circle pictured above.
Round your answer to the nearest tenth
I don’t get this question at all, pls help. I just need the function.
please help will give brainlyest again
Answer:
8
_
12 I think
that's it it you can cross multiple it will be 7/10
The average age of all the JSOM students is 24 years with a standard deviation of 9 years. Of 8,000 students, a random sample of 36 students is selected. What is the probability that the sample mean will be between 25.5 and 27 years?
Answer:
The probability that the sample mean will be between 25.5 and 27 years is 0.1359.
Step-by-step explanation:
Let X denote of age of JSOM students.
The information provided is:
[tex]\mu=24\\\sigma=9\\n=36[/tex]
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu\\[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As the sample size is large, i.e. n = 36 > 30, the sampling distribution of the average age of all the JSOM students can be approximated by the normal distribution.
Compute the probability that the sample mean will be between 25.5 and 27 years as follows:
[tex]P(25.5<\bar X<27)=P(\frac{25.5-24}{9/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{27-24}{9/\sqrt{36}})\\\\=P(1<Z<2)\\\\=P(Z<2)-P(Z<1)\\\\=0.97725-0.84134\\\\=0.13591\\\\\approx 0.1359[/tex]
Thus, the probability that the sample mean will be between 25.5 and 27 years is 0.1359.
someone helppp please!!
Answer:
because ΔMLN ≅ ΔYZX
=> MN = YX = 4
Step-by-step explanation:
Answer:
I think its four
Step-by-step explanation:
Evaluate 3/11 × 11/13 Give your answer as a fraction in its simplest form.
Answer: 3/13
Step-by-step explanation:
Anthony receives $12 in allowance every week.He currently has $492 saved.How many weeks has he been saving?
Answer:
He has been saving for 41 weeks.
Step-by-step explanation:
492 is the total, we need to divide 492 by 12 to get how many weeks, 41 is the answer
an eight pack of juice cost 4.49 and a 12 pack of juice costs 6.59 which is one the better buy?
Answer:
12-pack
Step-by-step explanation:
We find the unit cost of each one by dividing its price by the number of juice containers.
4.49/8 = 0.56125
6.59/12 = 0.5491666...
The 12-pack has a lower unit cost, so the 12-pack is a better buy.
three less than the total of a number and
nine
Answer:
(x+9)-3
Step-by-step explanation:
Unit 3 lesson 16 homework
Answer:
huh what is your question ????
F(x)=4x+5whsts the value of. F(-3). Is
Answer:
F(-3) = -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
F(x) = 4x + 5
F(-3) is x = -3
Step 2: Evaluate
Substitute: F(-3) = 4(-3) + 5Multiply: F(-3) = -12 + 5Add: F(-3) = -7