Using the t-distribution, it is found that the 95% confidence interval for the population mean is (1413.18, 1564.82).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 65 - 1 = 64 df, is t = 1.9977.
The parameters of the interval are given as follows:
[tex]\overline{x} = 1489, s = 306, n = 65[/tex].
Hence, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 1489 - 1.9977\frac{306}{\sqrt{65}} = 1413.18[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 1489 + 1.9977\frac{306}{\sqrt{65}} = 1564.82[/tex]
The 95% confidence interval for the population mean is (1413.18, 1564.82).
More can be learned about the t-distribution at https://brainly.com/question/16162795
What is the measure of the angle?
Answer: 50 degrees
Step-by-step explanation:
im not sure how to solve this can somebody help
The population of organisms is described by the following exponential equation:
P(t) = 18,000*(0.9966)^t
How to get the exponential equation?
The general exponential equation is:
P(t) = A*(b)^t
Where A is the initial value, b depends on the percentage that changes, and t is the variable.
In this case, the population decreases by 3.4%, then we have:
B = 1 - 3.4%/100% = 0.9966
And the initial value is 18,000 organisms, replacing that in the general equation we get:
P(t) = 18,000*(0.9966)^t
This is the equation that represents the population.
If you want to learn more about exponential equations, you can read:
https://brainly.com/question/11832081
what is the median for 55, 75, 45, 80, 50, 70, 45, 85, 60, 70
Answer:
it’s 60
Step-by-step explanation:
what you do is take the two middle numbers 50 and 70 add them both up get 120 then divide by 2 and get 60
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Edward opens up a savings account with $250. The bank gives him an interest rate of 2.8% per year (simple interest). About long will it take for Edward to double his money?
(SHOW WORK!!)
Equation:________________
Answer:_________________
Step-by-step explanation:
The interest I per t years is 2.8% of invested amount P
I = PrtLet the interest amount is same as invested amount, then our equation is
P = Prt or1 = rt or1 = 0.028t 2.8% converted to 0.0028Find the value of t
t = 1/0.028t = 35.71 or roughly 36 yearsAnswer:
Equation: 250(1 + 0.028t) = 500
Answer: 36 years
Step-by-step explanation:
Simple interest formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = double $250 = $500P = $250r = 2.8% = 0.028Substitute given values into the formula and solve for t:
250(1 + 0.028t) = 500
⇒ 250 +7t = 500
⇒ 7t = 250
⇒ t = 250/7
⇒ t = 35.71428571...
So it will take approximately 36 years for Edward to double his money.
In an RPG game, each player can choose among 5 basic classes: Mage, Warrior, Archers, Priests, Monks. Each basic class can advance to 4 sub-classes. If each character can have two sub-classes at the same time, how many different combinations are there?
Answer:
In RPGs a Character Class is a designation that determines a player's abilities and fighting style (and depending on the game possibly even their origin, education, and home area) often in the form of a job or archetype. A character class is defined by the abilities that it lends to a character — as such, two different characters with the same class are theoretically interchangeable, in that they have the same "power set" and can play the same role in gameplay because of their similar abilities. However, character class systems can come with varying levels of customization — ranging from characters of a given class being literally identical to having so much variety that character class is no longer even a good indicator of that character's abilities. While most common in fantasy Role-Playing Games, they have recently began to appear in other genres, such as trading card games and MOBAs.
Step-by-step explanation:
If somebody sells TVs and the formula they use is A = 800 + 200t and A = her total income and t = the amount they sell, how much money will they receive if they sell 9 TVs?
Answer:
$2600
Step-by-step explanation:
It is given that the variables:
A = total income
t = amount of TV they sell.
It is also given that they sold 9 TVs. Plug in 9 for t in the given equation:
A = 800 + 200t
A = 800 + 200(9)
A = 800 + 1800
A = 2600
$2600 is the total amount they will receive if they sell 9 TVs.
~
Help help math math math
Answer: The slope is 3
Step-by-step explanation:
The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Where
[tex](x_1,y_1)[/tex]= coordinates of the first point in the line
[tex](x_2,y_2)[/tex]= coordinates of the second point in the line
Let's use (2,-3) for the first point and (4, 3) for the second point.
Sub the values into our formula
[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\\\frac{3-(-3)}{4-2}[/tex]
Now simplify
[tex]\frac{3-(-3)}{4-2}\\\frac{6}{2}\\3[/tex]
Answer:
The slope is 3
Step-by-step explanation:
The circumference of a circle is37.68 kilometers. What is the circle's radius?
circumference= 37.68 km
to find:the circle's radius.
solution:[tex]r = \frac{c}{2\pi} [/tex]
[tex]r = \frac{37.68}{2\pi} [/tex]
[tex]r = 5.99696 \: km[/tex]
[tex]r =6 \: km[/tex]
Kristen is doing her math homework for each problem she uses 1/3 of a sheet of paper how many sheets of paper will she need for nine problems
Answer:
Step-by-step explanation:
because nine is greater than one, you get one whole for each time you can fit 9 in 3. The answer will be 3. (3x3 is nine)
Find the slope formula (2,8) and (4,14)
Answer:
3
Step-by-step explanation:
The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], plugging in the given values, we'll have: [tex]\frac{14-8}{4-2}[/tex]
[tex]\frac{14-8}{4-2}[/tex]
[tex]\frac{6}{2}\\\\=3[/tex]
hope this helps!
Answer:
The slope is 3.Step-by-step explanation:
You have to solve this using the slope formula in order to get the right answer.
[tex]\underline{\text{SLOPE:}}[/tex]
[tex]\Longrightarrow: \sf{\dfrac{Y_2-Y_1}{X_2-X_1} }[/tex]
y2= 14
y1= 8
x2= 4
x1= 2
Rewrite the problem.
[tex]\sf{\dfrac{14-8}{4-2}=\dfrac{6}{2}=\boxed{\sf{3}}[/tex]
Therefore, the slope is 3, which is the correct answer.I hope this helps. Let me know if you have any questions.
Determine the center and radius: x2 + y2 - 10x + 8y -8 = 0
So our equation currently is ⇒ [tex]x^2+y^2-10x+8y-8 = 0[/tex]
Let's first move all the constant to one side and group 'like variables' together:
[tex](x^2-10x)+(y^2+8y) = 8[/tex]
Now lets complete the square of both equations
[tex](x^2-10x+25)+(y^2+8y +16) = 8 + 25 + 16\\(x-5)^2+(y+4)^2 = 49\\(x-5)^2+(y+4)^2 = 7^2[/tex]
Now we know the circle's general equation format is:
⇒[tex](x-h)^2+(y-k)^2 = r^2[/tex]
(h, k) ⇒ coordinate of the center of the circler ⇒ length of radius of circleThus the radius of the circle is 7
Hope that helps!
(What the domain and range )
PLEASE HELPP I GIVE OUT MORE POINTS AND BRAINIST ONLY IF YOUR RIGHT THO I DO CHECK IT PLEASE AND THANK YOU !!
Answer:
Domain: 0 ≤ x ≤ 4
Range: 0 ≤ y ≤ 64
Step-by-step explanation:
Information
Domain: set of all possible input values (x-values)
Range: set of all possible output values (y-values)
From inspection of the diagram, the minimum value of x is 0 and the maximum value of x is 4.
Therefore, the domain is: 0 ≤ x ≤ 4
From inspection of the diagram, the minimum value of y is 0 and the maximum value of y is 64.
Therefore, the range is: 0 ≤ y ≤ 64
Remember:-
If a pair be (x,y) then
x is domainy is rangehence
Here x goes from 0 to 4 so domain is
[0,4]Y goes from 0 to 64 hence range is
[0,64]what is greater a eight grader has a brother and a sister or that there are two boys in the family
Answer:105
Step-by-step explanation:
Which of the following are solutions to the equation below?
Check all that apply.
4x^2 + 20x + 25 = 49
A. x = -1
B. x = 1
C. x = 6
D. x = -6
E. x = √7-5/2
F. x = -√7-5/2
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve the given equation ~
[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 = 49[/tex]
[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 - 49 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x - 24 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:4( {x}^{2} + 5x - 6) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 6x - x - 6 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:x(x + 6) - 1(x + 6) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:(x + 6)(x - 1) = 0[/tex]
Hence, we get -6 and 1 as our roots ~
So, the correct choices are : B and D
Simplify. Write the answer with positive exponents only.
x2 x4
Answer:
[tex]\frac{1}{x^2}[/tex]
Step-by-step explanation:
Hey there!
x^2 / x^4
≈ x * x / x * x * x * x
SIMPLIFY IT!
≈ 1 / x^2
Therefore, your answer should be:
1/x^2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
which expression is equivalent to (-5x^2-7x-10)-(2x^2-2x+7)
Answer:
746
Step-by-step explanation:
i got the same question
Answer:
7x+10
Step-by-step explanation:
First, distribute the 2
2(x+5) +5x
2*x+2*5 +5x
2x+10+5x
Combine like terms
2x+5x+10
7x+10
A 200 pound person weighs 33 pounds on the moon. Type the answers in the boxes below. 1. How much did the person's weight decrease?
the 5 degree measures of 5 angles are 30 degrees, 40 degrees, 35 degrees, 50 dgrees, and 55 degrees. Find the measdian angle measure. Change it to radius. round your answer to the nearest hundredth.
Answer is The measure of median angle is 0.700 radians.
PLEASE SOLVE ASAP!! 100 POINTS
Answer:
∠DBC = 155°
Step-by-step explanation:
Assuming that ABC is a straight line.
Angles on a straight line sum to 180°.
⇒ (2x² + 3x - 2) + ∠DBC = 180°
⇒ ∠DBC = 180° - (2x² + 3x - 2)
The sum of the interior angles of a triangle is 180°:
⇒ (x² + 1) + (4x + 3) + ∠DBC = 180°
⇒ ∠DBC = 180° - (x² + 1) - (4x + 3)
Therefore, we can equate the equations and solve for x:
⇒ ∠DBC = ∠DBC
⇒ 180 - (2x² + 3x - 2) = 180 - (x² + 1) - (4x + 3)
⇒ 180 - 180 = (2x² + 3x - 2) - (x² + 1) - (4x + 3)
⇒ (2x² + 3x - 2) - (x² + 1) - (4x + 3) = 0
⇒ 2x² + 3x - 2 - x² - 1 - 4x - 3 = 0
⇒ x² - x - 6 = 0
⇒ x² + 2x - 3x - 6 = 0
⇒ x(x + 2) - 3(x + 2) = 0
⇒ (x + 2)(x - 3) = 0
Therefore, x = -2, x = 3
As angles are positive, x = 3 only
Substituting found value of x into the angle expressions:
⇒ ∠BDC = x² + 1 = (3)² + 1 = 10°
⇒ ∠DCB = 4x + 3 = 4(3) + 3 = 15°
The sum of the interior angles of a triangle is 180°:
⇒ ∠DBC + ∠BDC + ∠DCB = 180°
⇒ ∠DBC = 180° - ∠BDC - ∠DCB
⇒ ∠DBC = 180° - 10° - 15°
⇒ ∠DBC = 155°
Sum of two interiors=exterior
x²+1+4x+3=2x²+3x-2x²+4x+4=2x²+3x-22x+6=x²x²-x+6=0(x-3)(x+2)=0Take it positive
x=3Now
2x²+3x-22(3)²+3(3)-22(9)+9-218+725Now
<DBC=180-25=155°
If the rate of markup on selling price is 40%, what is the rate of markup on cost.
The area of a rectangular knitted blanket is 33x' - 5x-2. What are the possible dimensions of the blanket? Use factoring.
Answer:
12
Step-by-step explanation:
I am in 12th grade and make straight A;s trust me
please help im bad at math
Answer:
1,000 mm³
Step-by-step explanation:
To find the volume we use the formula:
V = L×W×H (L=length, W=width and H=height)
Since we are given all values we substitute the values to give us:
V= 10×10×10 = 1000
Units will be mm³ as this is volume.
Answer:
if it's area, it's the first one
Witch is a following radical to …
Answer:
B
Step-by-step explanation:
please read the picture and help
Answer:
A.) (-4,-2)
Step-by-step explanation:
Because the lines intersect
Find the midpoint M of the line segment joining the points C = (-1, 1) and D = (5, – 7).
=
=
Answer: (2,-3)
Step-by-step explanation:
Which of the following is the growing elderly population attributed to?
Baby boomers are now approaching elderly ages.
Lower death rates means more people live longer.
Advancements in science and medicine extend lives.
Preventive health care has eliminated deadly diseases.
Answer: lower death rates
Step-by-step explanation:
6. You roll a number cube once. What is the theoretical probability that you roll a 5 or 6?
Answer:
2/6, 1/3, 33.33%
Step-by-step explanation:
To roll a 5 or 6, meaning 2 numbers.
There are a total of 6 numbers on the die.
Therefore, it would be 2 out of 6, or 2/6.
Simplified: 1/3 or 33.33%
Which point is not on the graph of the equation: y = 10 + x?
A. (0, 10)
B. (3, 13)
C. (8, 2)
D. (5, 15)
Al the points except (8, 2) will give us a true equation when substituted into the equaton, so, (8, 0) is not the graph of the equation.
What is a Point on a Graph of an Equation?Any coordinate point on a graph represented by an equation will give a true equation if the points are plugged into the equation and evaluated.
(8, 2) is not on the graph of y = 10 + x because substituting x = 8 and y = 2 into the equation will give us:
2 = 10 + 8
2 = 18 (not true).
The rest points will give us a true equation except (8, 2).
(8, 2) is not a point on the graph.
Learn more about point on a graph on:
https://brainly.com/question/19701097
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answer:
please add the picture for us to see.
Step-by-step explanation:
John owns a clothing store
Answer:
I think John does not own a clothing store