Answer:
[tex](f+g)(x)=x^2-x-3[/tex]
Step-by-step explanation:
We have [tex]f(x)=2x-1[/tex] and [tex]g(x)=x^2-3x-2[/tex]
Recall that [tex]f+g[/tex] is defined by [tex](f+g)(x)=f(x)+g(x)[/tex], therefore
[tex](f+g)(x)=f(x)+g(x)=2x-1+x^2-3x-2=x^2-x-3[/tex]
2. A doctor treated 2000 patients over a period of time. If he worked for 5 hours a day and spent 15 minutes on each patient how many days did the doctor spend to treat all patients?
Answer:
The answer is 6000 days.
The unit circle with center at the origin is a relation but not a function Find the two functions which are semicircles of the unit circle and determine their domains and ranges?
Answer:
Step-by-step explanation:
The relation is x²+y²=r² with r being the radius
[tex]f(x)=y=\sqrt{r^2-x^2} \\\\domain(f(x))=[-r,r]\ or\ -r\leq x \leq r\\range(f(x))=[0,r]\ or\ 0\leq y \leq r\\\\\\\ g(x)=y=-\sqrt{r^2-x^2} \\domain(g(x))=[-r,r]\ or\ -r\leq x \leq r\\range(g(x))=[-r,0]\ or\ -r\leq y \leq 0\\\\[/tex]
52% of 1000 registered voters intend to vote for Steven Collins for mayor. What is the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins?
A. (50.1%, 53.9%)
B. (48%, 56%)
C. (49.9%, 54.1%)
D. (48.9%, 55.1%)
Using the z-distribution, the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins is:
D. (48.9%, 55.1%)
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The other parameters are given as follows:
[tex]\pi = 0.52, n = 1000[/tex]
Hence the bounds of the interval are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551[/tex]
As a percentage, option D is correct.
More can be learned about the z-distribution at https://brainly.com/question/25890103
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this is a for real question i need some help
Answer:
5/12
Step-by-step explanation:
Multiply [tex]\frac{1}{2}[/tex] times [tex]\frac{5}{6}[/tex] by multiplying the numerator times the other numerator and the denominator by the other denominator. Which leaves you with [tex]\frac{5}{12}[/tex].
hope this helps!
A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number
Answer:
The number is 5
BRAINLIEST, PLEASE!
Step-by-step explanation:
8x + 2 = 2(21)
8x + 2 = 42
8x = 40
x = 5
In the expression, the value of number is 5.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We can to given that;
The algebraic expression is,
''A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21.''
Now,
Let a number = x
Hence, We can formulate;
⇒ x × 8 + 2 = 2 × 21
⇒ 8x + 2 = 42
Subtract 2 both side,
⇒ 8x + 2 - 2 = 42 - 2
⇒ 8x = 40
Divide by 8;
⇒ x = 5
Thus, The value of number = 5
Learn more about the mathematical expression visit:
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Which number should replace Z?
A 7
B 6
C 5
D 4
Answer:
2 sorry i don't know that's what answer i got
Find the solution for
2 - 3(x +4) = 8
Answer:
The answer is -6.
Step-by-step explanation:
2-3*(-6+4)=8
2−3
Choose the equation of the the ellipse shown in the graph.
Answer: A
Hello,
Step-by-step explanation:
center =(-3,1)
a=2
b=7
[tex]\dfrac{(x+3)^2}{4} +\dfrac{(y-1)^2}{49} =1\\\\or\\\\49*(x+3)^2+4(y-1)^2=14^2\\\\Answer\ A\\[/tex]
i have a school project and really don’t pay attention in class … so i need to know What is an equation in integers that equals " 1 " ? ♀️
Answer:
Step-by-step explanation:
The answer is actually
Let:
S=1+2+3+4+5+6+7+8+9+n
We know the answer to the following infinite sum:
S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2
We can therefore solve for this sum:
S3=1-2+3-4+5-6+7-8+9-....
We add them:
S3= 1-2+3-4+5-6+7-8...
S3= +1-2+3-4+5-6+7-8...
________________
2S3= 1-1+1-1+1-1+1-1+1-....
Therefore:
2S3=S2=
Express the terms of the following geometric sequence by giving an explicit formula. 8 , -32 , 128 , -512 , 2,048 , ...
Answer:
8*(-4)^(n-1)
Step-by-step explanation:
The common ratio is - 32/8 = - 4, the first term being 8. The formula will be 8*(-4)^(n-1).
In a group 40% like football ,70% like cricket and 30% like both games
Step-by-step explanation:
Ans is 20 .
F union C whole complement is 20
How would I write a number subtracted from 2 times a number is 19
11. Which of the following is an example of a rational number?
Find the number of steel ball bearings, each of diameter 0.7 cm, which can be made from 1 kg of steel, given that 1 cm' of steel has a mass of 7.85 g.
Answer:
707.7, or 707
Step-by-step explanation:
0.18 x 7.85 g = 1.413 g/one bearing. Total amount of bearings: 1kg = 1000 g/1.413
Which of the following is a qualitative observation?
Question 7 options:
This leaf has grown 3 cm this week.
This leaf is 30 cm long.
This leaf has 8 curved edges.
This leaf is light green in color.
Answer:
so i think answer of this quiestion is option D
A golfers score after playing on friday was +2
The end of his round on Saturday was a -5, and the end of his round on Sunday was a 0.
Kelsey deposited $3,600 in a bank account with annual interest rate 4.25%. How much interest was earned in 5 years?
Answer:
765
Step-by-step explanation:
1)4.25/100=0.0425
2)0.0425*3600=153
3)153*5=765
There is a triangular garden plot with a side of
z
. The second side is
5
feet more than the first. The third side is
2
times the first. Write an expression that represents the perimeter of this garden plot. Make sure to simplify.
9514 1404 393
Answer:
P = 4z +5
Step-by-step explanation:
The side lengths are given as (z), (z+5), (2z). The perimeter is the sum of the side lengths:
P = z +(z +5) +2z
P = 4z +5
In a competitive examination negative marks of 2 are awarded for each wrong answers and 4 marks for every correct answer. If neerav gets 15 correct answers and 5 wrong answers and rajan gets 14 correct answers and no wrong answers, who gets more marks and by how much?
9514 1404 393
Answer:
Rajan gets 6 marks more
Step-by-step explanation:
Neerav's marks are (15)(4) +(5)(-2) = 60 -10 = 50.
Rajan's marks are (14)(4) = 56.
Rajan gets 6 more marks than Neerav.
un automóvil a recorrido 640 km a velocidad constante 4 horas Cuál es la velocidad del automóvil
Answer:
2,560
Step-by-step explanation:
necesitas sumar 4 veces 640 o multiplicar 4×640
Ann has several sources of income. Which would not be considered earned income?
O 3% commission on all sales
O $800,00 per month salary
$2500.00 she earned developing websites in her spare time
O $300,00 per month child support
Keisha bought these supplies for school:
4 packs of pencils that cost $0.85 each
6 packs of pens for $1.25 each
5. What was the total cost of the pencils and pens, including a 6% tax?
A
$13.35
B
$10.90
C
$11.55
D
$2.23
.
Answer:
C. $11.55
Step-by-step explanation:
First, multiply 4 by $0.85 to get an answer of $3.40. Next, multiply 6 by $1.25 to get an answer of $7.50. Add up the cost of the pencils and pens by adding $3.40 and $7.50 to get $10.90. Next, we have to add the tax. Multiply $10.90 by 0.06 to get $.65. Add the $.65 to the $10.90 for a grand total of $11.55. Hope this helps!
Kristen is creating a rectangular garden in her back yard. The length of the garden is 13 feet. The perimeter of the garden must be at least 54 feet and no more than 82 feet.
Which point on the number line best represents v57
Answer:
point R
Step-by-step explanation:
7²=49
8²=64
57 is nearly in the middle of 49 and 64
so it is R
Let C be the positively oriented square with vertices (0,0), (3,0), (3,3), (0,3). Use Green's Theorem to evaluate the line integral
∫C 8y^2 x dx + 6x^2 y dy
Let D denote the region whose boundary is C. By Green's theorem,
[tex]\displaystyle \int_C 8y^2x\,\mathrm dx + 6x^2y\,\mathrm dy = \iint_D \frac{\partial(6x^2y)}{\partial x} - \frac{\partial(8y^2x)}{\partial y} \,\mathrm dx\,\mathrm dy \\\\ = \int_0^3 \int_0^3 (12xy-16yx)\,\mathrm dx\,\mathrm dy \\\\ = -4 \int_0^3 \int_0^3 xy\,\mathrm dx\,\mathrm dy = \boxed{-81}[/tex]
which property is illustrated by the following ?
if 2 (x+y) = z , then 2x +2y = z
Step-by-step explanation:
Distributive Property
write the additive inverse of rational number -11/5
Answer:
Additive inverse of -11/5 => + 11/5
hope that helps uh..☺
Answer:
If " a " represent any rational number then " a + ( - a ) = 0" or " ( - a ) + a = 0 ". Thus " a " and " - a " are additive inverse of each other. Hence " 11 / 5 " is the additive inverse of " - 11 / 5 " .
Step-by-step explanation:
Que costaría más comprar una vaca o comprar hamburguesas de 1€ hasta igualar a una vaca.
Answer:
haha pues cuesta mas las hamburgesas porque toca ir al doctor despues
Step-by-step explanation:
The average ticket price for a Spring Training baseball game is $32.61, with a standard deviation of $8.62. In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $35. (Round your answer to three decimal places)
Using the normal probability distribution and the central limit theorem, it is found that there is a 0.04 = 4% probability that the mean ticket price exceeds $35.
------------------------------------------
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 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.
------------------------------------------
The average ticket price for a Spring Training baseball game is $32.61, with a standard deviation of $8.62.
This means that [tex]\mu = 32.61, \sigma = 8.62[/tex]
------------------------------------------
Sample of 40:
This means that [tex]n = 40, s = \frac{8.62}{\sqrt{40}}[/tex]
------------------------------------------
In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $35.
This is 1 subtracted by the p-value of Z when X = 35, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{35 - 32.61}{\frac{8.62}{\sqrt{40}}}[/tex]
[tex]Z = 1.754[/tex]
[tex]Z = 1.754[/tex] has a p-value of 0.96.
1 - 0.96 = 0.04
0.04 = 4% probability that the mean ticket price exceeds $35.
A similar question is given at https://brainly.com/question/24342706
Brianna predicted that 16 puppies would
be sold at the pet store on Saturday.
However, only 9 were sold. What was
Brianna's percent error?
