Answer:
Confidence interval for the population mean is between 15 homes and 19 homes
Step-by-step explanation:
Given that:
Sample (n) = 17 homes, mean (μ) = 19 homes, standard deviation (σ)= 4 people and confidence (C) = 98% = 0.98
α = 1 - C = 1 - 0.98 = 0.02
α/2 = 0.02/2 = 0.01.
The z score of 0.01 (α/2) corresponds to the z score of 0.49 (0.5 - 0.01) which from the normal distribution table is 2.33
The margin of error (E) is:
[tex]E=z_{0.01}*\frac{\sigma}{\sqrt{n} } =2.33*\frac{4}{\sqrt{19} }=2[/tex]
The confidence interval = μ ± E = 17 ± 2 = (15, 19)
Confidence interval for the population mean is between 15 homes and 19 homes
3. Find the volume of the pyramid.
Answer:
[tex]916.11\:ft^{3}[/tex]
Step-by-step explanation:
Volume of the hexagonal pyramid = [tex]1/3\times (area\: of \: hexagonal\:base)\times height[/tex]
Here sides of hexagonal base = 9 ft
So, Area of hexagon = [tex]6\times \frac{\sqrt{3} }{4} a^{2}[/tex]
[tex]6\times \frac{\sqrt{3} }{4} \times 9 \times 9[/tex]
[tex]= 210.5[/tex]
Height is given, 13 ft
So, volume = [tex]1/3\times 210.5\times 13[/tex]
[tex]= 916.11\: ft^{3}[/tex]
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PLEASE ANSWER ASAP THANK YOU!!!
How much money will be in a bank account after 3 years if $9 is deposited at an interest rate of 5% compounded annually? Round to the nearest dollar.
Answer:
$10.42
Step-by-step explanation:
Compound interest formula: A=p(1+r/n)^nt
9=p, r=0.05, n=1, and t=3
A=9(1+0.05)^3
A=9(1.05)^3
Plug this into calculator and you get $10.42
Answer:
A = $10.42
Step-by-step explanation:
The appropriate formula is the "compound amount" formula given by
A = P(1 + r)^t,
where P is the initial amount, r is the annual interest rate as a decimal fraction, and t is the number of years elapsed.
Here:
A = $9(1 + 0.05)^3, or
A = $9(1.05)^3, or
A = $10.42
How can you create a transformation by using other combination of transformations
What value of x is in the solution set of –5x – 15 > 10 + 20x? –2 –1 0 1
Answer:
-2
Step-by-step explanation:
5x – 15 > 10 + 20x
Subtract 5x from each side
5x – 15-5x > 10 + 20x-5x
-15 > 10+15x
Subtract 10 from each side
-15-10 >15x
-25 > 15x
Divide each side by 15
-25/15 > x
-5/3 > x
X must be less than -1 2/3
The only value that is less than -1 2/3 is -2
Answer:
x< -5/3x is less than -5/3 , so answer = -2Step-by-step explanation:
[tex]5x - 15 > 10 + 20x\\\mathrm{Add\:}15\mathrm{\:to\:both\:sides}\\\\5x-15+15>10+20x+15\\\mathrm{Simplify}\\\\5x>20x+25\\\\\mathrm{Subtract\:}20x\mathrm{\:from\:both\:sides}\\\\5x-20x>20x+25-20x\\\\\mathrm{Simplify}\\\\-15x>25\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-15x\right)\left(-1\right)<25\left(-1\right)\\\\\mathrm{Simplify}\\\\15x<-25\\\\\mathrm{Divide\:both\:sides\:by\:}15\\\\\frac{15x}{15}<\frac{-25}{15}\\\\x<-\frac{5}{3}[/tex]
Use inverse operations to solve each equation. Explain each step and identify the property used to reach step. 19 = h/3 - 8
==================================================
Explanation:
19 = h/3 - 8
19+8 = h/3 - 8+8 .... see note 1
27 = h/3
h/3 = 27
3*(h/3) = 3*27 .... see note 2
h = 81
----------
note 1: We add 8 to both sides to undo the "minus 8". This is the addition property of equality. Addition is the inverse of subtraction. note 2: We use the multiplication property of equality. This is where we can multiply both sides by the same number and keep the equation the same (basically balancing both sides). Multiplication is the opposite of division.A net is a two-dimensional pattern that can be folded to form a three-dimensional surface. T/F
Answer: True
Explanation:
Consider a 3D cardboard box that you can unfold. It would unfold into a 2D net that you can then re-fold back into its 3D form. The 2D net is useful to help visualize and calculate the surface area. The surface area is simply the total area of all the external faces.
There are three different hoses used to fill a pool: hose x, hose y, and hose z. Hose x can fill the pool in a days, hose y in b days, and hose z in c days, where a > b > c. When all three hoses are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true? I. db III. c3
Complete question is;
There are three different hoses used to fill a pool: hose x, hose y, and hose z. Hose x can fill the pool in a days, hose y in b days, and hose z in c days, where a > b > c. When all three hoses are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true?
I. d < c
II. d > b
III. c/3 < d <a/3
A) I only
B) III only
C) I and III only
D) II only
E) I, II and III
Answer:
The correct option is C
Step-by-step explanation:
From the question, the 3 hoses combined together will fill the pool faster than the time for the hoses to accomplish it individually. Therefore, the time "d" will be lesser than any of the individual times used by each hose.
Hence, statement I is true and II is false.
Now, we know that if each of the three hoses took c days to complete the job, then together they would take c/3 days. However, in reality, two of the three hoses even took more than c days. So, in a nutshell together they would take more than "c/3" days, and therefore d > c/3.
Likewise, if each of the three hoses took "a" days to finish the job, then when combined together, they would take "a/3" days. Now, two of the three hoses used fewer than "a" days and so when combined together they would take less than "a/3" days and therefore d < a/3.
If we combine the last 2 paragraphs, we will arrive at c/3 < d < a/3 and that is same as statement III.
Thus, statement I and III are true. The correct option is C
You have a basket. But it's not just any basket. It's a basket that can hold an infinite number of apples. So you take your infinite stash of apples and fill the infinite basket, so now you have an infinite amount of apples in an infinite basket. But then you get another infinite stash of apples. Would it be possible to fill the infinite basket with more infinite apples, even tho the basket already has an infinite amount of apples in it?
Answer:
YesStep-by-step explanation:
Because of the properties of infinity:
∞ + ∞ = ∞∞ * n = ∞∞ * ∞ = ∞Answer:
nope.
Step-by-step explanation:
Help please!!! Tyyyyyyy
Answer:
4/20
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The probability of landing on tails for any fair coin is [tex]\frac{1}{2}[/tex], or 50%. It doesn't matter how many times you've landed on heads/tails before, it always remains at [tex]\frac{1}{2}[/tex].
Hope this helped!
Topic: Differential Calculus; limit of a function
Answer:
umm answer is 3 i think is this right?
0
f(x) = x − x^2, find f(x^2)
Answer:f ( x ) − 1 = √ x + 2
Step-by-step explanation:
Answer:
f(x^2) = x^2 - x^4
Step-by-step explanation:
f(x) = x − x^2,
f(x^2) = (x^2) - (x^2)^2, 2 to the power of 2 equals 4
f(x^2) = x^2 - x^4
Which is a y-intercept of the continuous function in the
table?
х
-2.
-1
0
1
2.
3
f(x)
15
10
5
0
-5
-10
O (5,0)
O (0, 1)
O (0,5)
O (1,0)
Answer:
(0,5) --> 5 is the y intercept
Step-by-step explanation:
Give 6 x,y pairs you look for the pair with x=0 to find the y intercept,
SO that would be the 3rd set or (0,5)
The y-intercept of the function is A = ( 0 , 5 )
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Now , the x values of the function are
x = { -2 , -1 , 0 , 1 , 2 , 3 }
And , the y values of the function are
y = { 15 , 10 , 5 , 0 , -5 , -10 }
And , the y intercept of the function is when the value of x = 0
So , when x = 0
y = 5
Hence , the y-intercept is ( 0 , 5 )
To learn more about function rule click :
https://brainly.com/question/3760195
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The monthly budget is shown in the circle graph. The family has a
income of $4800 How much money do they spend on transportation each
C. $240
D. $288
Answer:
$240
Step-by-step explanation:
The amount they spend on a monthly basis for transportation = percentage represented on the circle covered by transportation ÷ 100% × the total monthly income.
= [tex] \frac{5}{100} * 4800 [/tex]
[tex] = 0.05 * 4800 = 240 [/tex]
Money spent on transportation = $240
Answer: the cash that is Paid each is 240$
Find the value of x. Round to the nearest degree.
60
33
57
29
Answer:
33
Step-by-step explanation:
that is pretty close to a 45 degree angle so i would say about 33
Answer:
33
Step-by-step explanation:
First find the missing side...
11^2 + a^2 = 20^2
121 + a^2 = 400
400 - 121 = a^2
a^2 = 279
a = 16.7
A = 16.7, B = 11, C = 20
20 - 16.7 = 3.3
Estimate
3 x 11 = 33
Can anyone help me with this?
Answer:
baba booey
Step-by-step explanation:
444
Linda and Juan went shopping. Linda spent $16 less than Juan. If we let w represent how much Juan spent, write an algebraic expression for how much Linda spent. Example for answer: 3x^2+1, x/5, (a+b)/c
Answer:
Step-by-step explanation:
Money spent by Juan = $ w
Linda spent $16 less than Juan. So, we have to subtract 16 from the money spent by Juan
Money spent by Linda = w - 16
The surface area, A, of a cylinder of radius, r, and height, h, can be found with the equation above. Which of the following correctly shows the cylinder's height in terms of its radius and surface area?
Step-by-step explanation:
If r and h are the radius and height of the cylinder, then its surface area A is given by :
[tex]A=2\pi r^2+2\pi rh[/tex] ....(1)
We need to find the cylinder's height in terms of its radius and surface area. Subtracting [tex]2\pi rh[/tex] on both sides, we get :
[tex]A-2\pi r^2=2\pi rh+2\pi r^2-2\pi r^2\\\\A-2\pi r^2=2\pi rh[/tex]
Dividing both sides by [tex]2\pi r[/tex]. So,
[tex]\dfrac{A-2\pi r^2}{2\pi r}=\dfrac{2\pi rh}{2\pi r}\\\\h=\dfrac{A-2\pi r^2}{2\pi r}[/tex]
Hence, this is the required solution.
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 9 cubic feet and the volume of each large box is 24 cubic feet. A total of 24 boxes of paper were shipped with a combined volume of 441 cubic feet. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.
Answer:
9 small boxes and 15 large boxes
Step-by-step explanation:
x = small box
y = large box
x + y = 24
9x + 24y = 441
-9x - 9y = -216
15y = 225
y = 15
x + 15 = 24
x = 9
Answer:
Let x be the small boxes
Let y be the large boxes
x+y=24
9x+24y=441
Step-by-step explanation:
Create a system of equations that includes one linear equation and one quadratic equation.Part 1. Show all work in solving your system of equations algebraically.
Part 2. Graph your system of equations and show the solution graphically to verify your solution.
Answer:
The simplest system:
y = xy = x²Solve by eliminating y:
x² = xx(x - 1) = 0x₁ = 0 x₂ = 1Then the value of y:
y₁ = 0y₂ = 1The graphical solution is attached
(0, 0), (1, 1)Answer:
The simplest system:
y = x
y = x²
Solve by eliminating y:
x² = x
x(x - 1) = 0
x₁ = 0
x₂ = 1
Then the value of y:
y₁ = 0
y₂ = 1
The graphical solution is attached
(0, 0), (1, 1)
Step-by-step explanation:
Kristian and Stephanie share money in the ratio 3 :2 Kristian receives $72 How much will Stephanie receive
Answer:
48
Step-by-step explanation:
Kristian : Stephanie
3 2
Kristian receives 72
72/3 = 24
Multiply each side by 24
Kristian : Stephanie
3*24 2*24
72 48
In the expression 2 ^3, the 3 is known as the
Answer:
3 is known as the power of 2.
Answer:
The three is the exponent, it is also called power so 2 to the power of 3
Step-by-step explanation:
Which Mean Absolute Deviation represents more consistency? 15.2 or 10.9
Answer:
10.9
Step-by-step Explanation:
The Mean Absolute Deviation of a given data set tells us how far apart, on average, each data value is to the mean of the data set.
The smaller the Mean Absolute Deviation of a given data set is, the closer each data value is to the mean. This also implies less variability of the data set.
Invariably, the smaller the M.A.D, which connotes less variability, the more consistent the data set is.
Therefore, a M.A.D of 10.9 represents more consistency than a M.A.D of 15.2
Which of the following ranges is most appropriate to represent the numerical data on the vertical axis of a Bar Chart? OA) 0 to 60 OB) 10 to 20 OC) 0 to 55 OD) 30 to 60
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Answer:
C
Step-by-step explanation:
I took the quiz
Michael says that the reciprocal of a number is always larger than the number. Show how Michael is wrong
Answer:
Step-by-step explanation:
Take example of 5/4.
Reciprocal= 4/5
5/4>4/5
so reciprocal of a no. may be greater than or equal to the original no.
PLS HELL I WILL GIVE BRAINLIST AND A THANK YOU
Answer:
[tex]\huge \boxed{20}[/tex]
Step-by-step explanation:
The angles add up to 90 degrees.
x + 2x + x + 10 = 90
Combine like terms.
4x + 10 = 90
Subtract 10 from both sides.
4x = 80
Divide both sides by 4.
x = 20
Answer:
x = 20
Step-by-step explanation:
Since we are solving for x let's create an equation
The whole thing is equal to 90 degrees, so we can keep that on one part of the equation
x + 2x + (x + 10) = 90
First let's add all of the x's together making it 4x + 10 = 90
Now subtract 10 from each side 4x = 80
Lastly, divide 4 on each side
x = 20
Select the correct answer.
The function g(x) = x^2 is transformed to obtain function h:
h(x) = g(x-3).
Which statement describes how the graph of h is different from the graph of g?
А. The graph of h is the graph of g horizontally shifted left 3 units.
B. The graph of h is the graph of g vertically shifted up 3 units.
C. The graph of his the graph of g vertically shifted down 3 units.
D. The graph of h is the graph of g horizontally shifted right 3 units.
Answer:
B The graft of h is the graft of g vertically shifted up 3 units
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point? A.
Answer: y=50x+3.5
Step-by-step explanation:
50 because that is how many mph
3.5 because he already drove that amount
Answer:
y=50x+3.5
Step-by-step explanation:
The ratio of two numbers is 2:3 and the sum of their cubes is 945,what are the two numbers. let the 1st no be=2x and 2nd=3x (2x)^3 + (3x)^3=945
Answer:
The first number is 6, the second number is 9Step-by-step explanation:
a:b = 2:3
a = 2x - first number
b = 3x - second number
a³ + b³ = 945
[tex](2x)^3 + (3x)^3=945\\\\8x^3 +27x^3=945\\\\35x^3 = 945\\\\x^3=945:35\\\\x^3=27\\\\ x^3=3^3\\\\x=3\\\\\\a=2\cdot3 = 6\\\\b=3\cdot3=9[/tex]
Which rational number is the greatest
a. 0.55
b. 0.6
c. 9/20
d. 1/2
I think d.1/2 number is the greatest rational number .
Yesenia drove 45.3 miles on Monday and 3.8
miles more on Tuesday. How many miles did she
drive in all?
Answer:
49.1 milez
Step-by-step explanation:
Total miles driven=45.3+3.8=49.1 miles