Answer:
The differences become smaller
Step-by-step explanation:
Normally, we use the t-distribution table rather than the normal distribution when the population standard deviation is unknown and when the sample size is small i.e. less than 30.
Now, as the sample size gets bigger, we will be getting closer to the point where we have to use the normal distribution.
This means that as the sample size increases, the values of the t-distribution will be getting close to that of the normal distribution because normal distribution is used when sample is more than 30.
For example the t-value for a sample of 25 people would be closer to the normal distribution value for a sample of 35 people while a t-value for a sample of 15 people will be far away from the normal distribution value for a sample of 35 people.
Thus, as the sample size increases, the differences between the t-distribution and standard normal distribution becomes smaller.
[tex]f(x) = \sqrt{x} [/tex]
Lim h=0
f(x+h) -f(x)/h
Answer: [tex]\dfrac{1}{2\sqrt x}[/tex]
Step-by-step explanation:
[tex]\lim_{h \to 0} f(x)=\dfrac{f(x+h)-f(x)}{h}[/tex]
f(x) = [tex]\sqrt x\\[/tex]
f(x+h) = [tex]\sqrt{x+h}[/tex]
[tex]\lim_{h \to 0} f(x)=\dfrac{\sqrt{x+h}-\sqrt x}{h}[/tex]
[tex]=\dfrac{\sqrt{x+h}-\sqrt x}{h}\bigg(\dfrac{\sqrt{x+h}+\sqrt x}{\sqrt{x+h}+\sqrt x}\bigg)[/tex]
[tex]=\dfrac{(x + h)-(x)}{h(\sqrt{x+h}+\sqrt x)}[/tex]
[tex]=\dfrac{h}{h(\sqrt{x+h}+\sqrt x)}[/tex]
[tex]=\dfrac{1}{\sqrt{x+h}+\sqrt x}[/tex]
[tex]=\dfrac{1}{\sqrt{x+0}+\sqrt x}[/tex]
[tex]=\dfrac{1}{2\sqrt x}[/tex]
Can someone please help me with this?
Hi there! :)
Answer:
[tex]\huge\boxed{BC = 26}[/tex]
In the question, it is given that AB = 3x - 1 and AC = 8x - 20.
Since AB = 3x - 1 and B is the midpoint, this means that BC is also 3x - 1. We can express this as an algebraic equation:
8x - 20 = 2(3x - 1)
Distribute the 2 with terms inside of the parenthesis:
8x - 20 = 6x - 2
Subtract 6x from both sides:
2x - 20 = -2
Add 20 to both sides:
2x = 18
Divide both sides by 2:
x = 9
Solve for BC by plugging in the value of x into the formula for AB
(since AB ≅ BC):
3(9) - 1 = 27 - 1 = 26 units.
BC = 26 units.
Answer:
BC = 5x - 19
Step-by-step explanation:
AC = 8x - 20
AB = 3x - 1
AC = AB + BC
Plug in the corresponding terms to the corresponding variables;
AC = AB + BC
(8x - 20) = (3x - 1) + BC
Isolate the term, BC, subtract 3x - 1 from both sides:
(8x - 20) - (3x - 1) = (3x - 1) - (3x - 1) + BC
BC = 8x - 20 - 3x + 1
BC = 8x - 3x - 20 + 1
BC = 5x - 19
~
2x - 4 - 6(x + 1) = 5x + 6 a) 8 b) -8/9 c) 4 d) -16/9
Step-by-step explanation:
2x - 4 - 6(x + 1) = 5x + 6
2x - 4 - 6x - 6 = 5x + 6
2x - 6x - 5x = 4 + 6 + 6
-9x =16
x= -16/9
Hope this helps.. Good luck!
please help!! I just started college
Answer:
(r. q) (7) = [tex] \pm 220[/tex]
(q.r) (7) = [tex] \pm 220[/tex]
Step-by-step explanation:
[tex]q(x) = {x}^{2} + 6 \\ q(7) = {7}^{2} + 6 = 49 + 6 = 55\\ r(x) = \sqrt{x + 9} \\ r(7) = \sqrt{7 + 9} = \sqrt{16} = \pm 4 \\ \\ (r.q)(7) = r(7).q(7) = \pm 4 \times 55 = \pm220 \\ \\ (q.r)(7) = q(7).r(7) = 55 \times \pm 4 = \pm220 [/tex]
The Rockville Recruitment Agency just placed Howard Jacobson in a job as an assistant pharmacist. The job pays $51.2K. The agency fee is equal to 40% of the first three weeks' pay.
c. How much must Howard pay the employment agency to the nearest dollar?
Answer:
Step-by-step explanation:
51,200 divided by 52. (52 weeks in a year.) 984.615385 is answer. So each week he gets paid $984.62. So then we multiply that by 3 since we are finding 40% of 3 weeks of pay. $984.62x3= $2953.86. Then we multiply that by 40%.. $2953.86x40%= Answer is $11181.54
The final cost of a bookstore purchase with a $5 coupon in a state that charges 8% sales tax is given by this expression. The variable x represents the amount of the purchase before the sales tax and the coupon are applied. 1.08(x−5) What does (x−5) represent?
a. the total charge after tax
b. the rate at which the total cost increases
c. the total charge before applying sales tax
d. the cost before applying the coupon
Answer:
B.the total charge before applying sales tax
Step-by-step explanation:
Is the following an Arithmetic Sequence? 4, 6, 8, 10, 12
Answer:
Yes
Step-by-step explanation:
For a sequence to be arithmetic, it must have a common difference, which means that the difference between any two consecutive terms must be the same. If we check the terms in our sequence, we see that 6 - 4 = 2, 8 - 6 = 2, 10 - 8 = 2 and 12 - 10 = 2. Since we got the same answer (2) every time, the answer is yes, it is an arithmetic sequence.
PLEASE HELP! A) 6,135º C B) 6,681º C C) 502º C D) 47º C
Answer: 47°C
Step-by-step explanation:
Since we are given the velocity, all we have to do is plug in 358 for v and solve for t.
[tex]358=20\sqrt{273+t}[/tex] [divide both sides by 20]
[tex]17.9=\sqrt{273+t}[/tex] [square both sides to cancel out square root]
[tex]320.41=273+t[/tex] [subtract both sides by 273]
[tex]t=47.41[/tex]
Now that we know the temperature is 47.41°C, we know our answer choice is D.
Jan owns a coffee shop. She is planning to hire Michael as a part-time employee at $8.50 per hour. She will also contribute $20 each week to a bonus fund, to be paid out at a later date. Michael cannot work more than 35 hours a week. How much will it cost Jan to hire Michael during his first 2-week pay period?
Answer:
635 dolalrs
Step-by-step explanation:
How many hours can Jan work in both weeks
35(2) = 70 hours
70 (8.50) = 595 dollars base salary.
Bonus each for both weeks = 2(20) = 40
595 + 40 = 635 dollars
Answer:
$595
Step-by-step explanation:
8.50x 70 hours= equal pay for 2 weeks without bonus pay
35 plus 35=70 hours
$595 without bonus
2(35x8.5) + 2(20)=636 (with bonus)
Without bonus 2(35x8.50)=595
HELP PLEASE!!! The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely.
Answer:
Length of each side = (4x-1)
Step-by-step explanation:
You could use the Quadratic formula to solve this, but there is a bit of a logical/intuitive gap you have to jump over at the end to get the answer.
For a straightforward mathematical explanation of what the area is equal to, you need to complete the square. From there you acknowledge that a square's sides are equal to each other and then you'll have your lengths.
My work is in the attachment. Comment with any questions.
Answer:
4x - 1
Step-by-step explanation:
given area of square :
16x² − 8x + 1
(4x)² -8x + 1
factor the equation
and this is a perfect square trinomial
a² - 2ab + b² = (a-b) (a-b)
(4x)² - 8x + 1 = (4x-1) (4x-1)
we know that the area A = s² (s stands for side)
substitute, (4x-1)² = s²
4x - 1 = s
therefore, the side of a square s = 4x - 1
Let f(x) = 7x - 4.
What is f(6)?
O A. 38
OB. 46
C. 42
D. 48
what does 590x89 equals ??
Answer:
52510
Step-by-step explanation:
590x89=52510
(hope it help??)
Answer:
52510
Step-by-step explanation:
googl
Identify all points and line segments in the picture below. This image has the potential for visual bias, so there is no alternative text. Points: A, B, C, D Line segments: Points: A, B, C, D Line segments: Points: A, B Line segments: Points: A, B, C, D Line segments:
Answer:
The answer is D
Step-by-step explanation:
d. Points: A, B, C, D Line segments: bar(AB), bar(AC), bar(BD)
The points are A, B, C, and D, and the line segment AB, AC, and BD. Then the correct option is B.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
Identify all points and line segments in the picture below. This image has the potential for visual bias, so there is no alternative text.
From the diagram, the points are A, B, C, and D, and the line segment AB, AC, and BD. Then the correct option is B.
Your question was incomplete, but the complete question was attached below.
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
#SPJ2
1. A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this?
Unit rate answer plz
Answer:
rate = 316800 feet miles per hour
unit = feet per hour
Step-by-step explanation:
swimming rate of fish = 60 miles per hour
1 mile = 5280 feet
60 miles = 60*5280 feet = 316800 feet
swimming rate of fish = 60 miles per hour
substituting 60 miles with with its equivalent in feet we have
swimming rate of fish = 316800 feet miles per hour
answer
rate = 316800 feet miles per hour
unit = feet per hour
4. The Emerson First National Bank is lending you money to buy a new car. The loan agreement will probably state
that you must carry
insurance.
A no-fault
B. collision
C. medical
D. liability
Answer:
D. liability
Step-by-step explanation:
The Emerson First National Bank is lending you money to buy a new car.
Before an agreement will be reached for any Organization to lend someone money there have to be something like a collateral.
The agreement will in it's document state that there must be a form of a reliability to hold on, such that if something's happen to the car, or you don't meet the paying up time, or something happens to you,they will see something to hold on.
Answer:
COLLISION insurance.
Step-by-step explanation:
how to write 720,080 in expanded form with exponents?
The number may be written as:
720,080
[tex]= \frac{720,080}{100,000} X 100,000[/tex]
[tex]=7.2008 X 10^5[/tex]
Answer: 7.2008 x 10⁵
Please give me brainlest ;(
An ant walked on the coordinate plane from point A( − 3,1) to point B(1,25) by the shortest path. Find y-coordinate of the point where the ant intersected y-axis.
Answer:
19
Step-by-step explanation:
The shortest path is a straight line. The slope of that line is:
m = (25 − 1) / (1 − (-3))
m = 6
The point where the ant intersects the y-axis has an x-coordinate of 0. The slope between that point, and any other point on the line, is 6.
6 = (y − 1) / (0 − (-3))
y = 19
• Check your work when you're done.
Your Assignment
Michael and his sister Mel share the job of mowing the grass in their yard. Michael mows 1/3
of the yard, and Mel mows the rest. Mel can mow 3/4 of the entire yard in an hour. How long will it take Mel to finish mowing her part of the yard?
Answer:
Approximately 53 mins
Step-by-step explanation:
Yard mowed by Michael = ⅓ of the yard
Yard mowed by Mel = 1 - ⅓ = [tex] \frac{1}{1} - \frac{1}{3} = \frac{3 - 1}{3} = \frac{2}{3} [/tex]
Rate at which Mel can mow a yard = ¾ of the yard in 1 hour
That is, it would take 1 hr to mow ¾ of the yard.
If ¾ yard requires 1 hr, then,
⅔ yard would require x hr
Thus:
x*¾ = 1*⅔
[tex] \frac{3x}{4} = \frac{2}{3} [/tex]
Cross multiply
[tex] 3(3x) = 4(2) [/tex]
[tex] 9x = 8 [/tex]
Divide both sides by 9
[tex] x = \frac{8}{9} [/tex]
It would take Mel [tex] \frac{8}{9} hr [/tex] to finish mowing her part, which is approximately 53 mins. [tex] (\frac{8}{9}*60mins = 53.3mins [/tex].
Answer:
53 min
Step-by-step explanation:
How long will it take you to ski a distance of 36 miles at a speed of 3 miles per 30 minutes.
Answer:
6 hours
Step-by-step explanation:
Since there are 60 minutes in one hour, you can ski 3 * 2 = 6 miles per hour. Therefore, it will take you 36 / 6 = 6 hours to ski that distance.
Graph the opposite of the opposite of 10 on the number line
Answer:
the opposite of 10 is -10
Step-by-step explanation:
Graph it on -10
Answer:
Just draw a solid dot in the position positive 10 on the number line
Step-by-step explanation:
Notice that the opposite of 10 is "negative 10" (-10), and the opposite of this (-10) is "positive 10" (10). So the opposite of the opposite takes you back to the original number (positive 10)
Suppose you walk at a rate of 210ft/min. You need to walk 10,000 ft. How many more minutes will it take you to finish if you have already walked 550ft
Answer:
45 minutes
Step-by-step explanation:
Distance needed to be covered = 10,000-550= 9,450
Speed= 210ft/min
time: 9450/210= 45 mins
Use the definition of the derivative to find f'(x) if
[tex]f(x) = \frac{1}{x - 1} [/tex]
Answer:
f'(x) = - [tex]\frac{1}{(x-1)^2}[/tex]
Step-by-step explanation:
f'(x) = [tex]lim_{h>0}[/tex] [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= [tex]lim_{h>0}[/tex] [tex]\frac{\frac{1}{x+h-1}-\frac{1}{x-1} }{h}[/tex]
= [tex]lim_{h>0}[/tex] [tex]\frac{x-1-(x+h-1)}{h(x+h-1)(x-1)}[/tex]
= [tex]lim_{h>0}[/tex] [tex]\frac{x-1-x-h+1}{h(x+h-1)(x-1)}[/tex]
= [tex]lim_{h>0}[/tex] [tex]\frac{-h}{h(x+h-1)(x-1)}[/tex] ← cancel h on numerator denominator
= - [tex]\frac{1}{(x-1)^2}[/tex]
The sixth-grade class is competing in the school field day. There are 32 girls and 40 boys who want to participate. Each team must have the same number of girls and boys. What is the greatest number of teams that can be formed? How many boys and how many girls will be on each team?
Answer:
16 girls on each team and 20 boys on each team.
Hope I helped you.
PLEASE HELP (05.04 LC) The image below is a triangle drawn inside a circle with center O: (5 points) Which of the following expressions shows the area, in square inches, of the circle? (π = 3.14) Select one: a. 3.14 ⋅ 2 b. 3.14 ⋅ 3 c. 3.14 ⋅ 22 d. 2 ⋅ 3.14 ⋅ 22
Answer:
Area of the circle is πr²
= 3.14(2)² = 4 · 3.14
Step-by-step explanation:
A car is driving 90 kilometers per hours how far in meters does it travel in 3 second
Answer:
I hope it will work
Step-by-step explanation:
as given
speed = v = 90 km/hr convert to meter and sec we get
v =( 90 *1000 meter)/(3600 sec)
v=25 m /sec
as given t= 2 sec so
v=s/t
s= v*t
s=25*2
s=50 meter
if its help-full hit the stars and brain list it thank-you
A cell phone company charges $15 for 120 minutes. What is the cost per minute? Round to the nearest cent.
Answer: The cost per minute is $0.13 or 13 cents.
Step-by-step explanation:
If it charges $15 for 120 minutes then to get to one minute we will have to divide it by 120.
so 15/120 = 0.125 which rounds to 0.13 to the nearest cent.
Answer:
Step-by-step explanation:
Evaluate the following expression when x = -4 and y = 4.
Answer:
[tex] \frac{ - 1023}{4} [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{6} - 6 }{4y} = \frac{ - 4 {}^{6} - ( - 4) }{4(4)} = \frac{ - 4096 + 4}{16} = \frac{ - 4062}{16} = - 255.75 = \frac{ - 1023}{4} [/tex]
Hope this helps ;) ❤❤❤
Answer:
c
Step-by-step explanation:
Which of the following points does not satisfy the equation 2x2 - 5y = 20?
How many different rays can be named?
Answer:
millions
Step-by-step explanation:
the possibilities are endless
What is the least common denominator of the expression below?
g^2 14+g
_____ + _____
9-g^2 24g+8g^2
Greetings from Brasil...
from notable products:
A² - B² = (A + B)·(A - B)
bringing to our problem:
9 - G² = (3 + G)·(3 - G)
Factoring 24G + 8G²:
8G(3 + G)
So, we have:
{G²/[ (3 + G)·(3 - G)]} + {(14 + G)/[8G(3 + G)]}
So the least common denominator is: 3 + G
[tex]\large{\frac{G^2}{9-G^2}+\frac{14+G}{24G+8G^2}=\frac{G^2}{(3+G)\cdot (3-G)}+\frac{14+G}{8G\cdot (3+G)}}[/tex]