Answer:
a) El valor de la proporción de la población = 0.3
b) El intervalo de confianza de 99% de la proporción poblacional = [0.2685, 0.3315]
c) Interprete sus conclusiones.
De los cálculos anteriores, podemos concluir que tenemos un 99% de confianza en que el parámetro de población se encuentra entre 0.2685 y 0.3315 ".
Step-by-step explanation:
a) Halla el valor de la proporción de la población.
El valor de la proporción se calcula mediante la fórmula
p = x / n
donde x = 420
n = número de muestras = 1400
Proporción (p) = 420/1400
= 60/200 = 30/100 = 3/10
= 0.3
b) Construya el intervalo de confianza del 99% para la proporción de población.
La fórmula para el intervalo de confianza para la proporción de población =
p ± z × √p (1 - p) / n
p = 0.3
z = puntuación z para un intervalo de confianza del 99% = 2.576
n = 1400
Por lo tanto:
Intervalo de confianza del 99% = 0.3 ± 2.576 × √0.3(1 - 0.3) / 1400
= 0.3 ± 2.576 × √0.3× 0.7 / 1400
= 0.3 ± 2.576 × 0.0122474487
= 0.3 ± 0.0315494279
Intervalo de confianza del 99% =
0.3 - 0.0315494279
= 0.2684505721
Aproximadamente ≈ 0.2685
0.3 + 0.0315494279
= 0.3315494279
Aproximadamente ≈ 0.3315
Por lo tanto, el intervalo de confianza del 99% = [0.2685, 0.3315]
c) Interprete sus conclusiones.
De los cálculos anteriores, podemos concluir que tenemos un 99% de confianza en que el parámetro de población se encuentra entre 0.2685 y 0.3315 ".
The difference between 31 and a number is 7
Answer:
thirty-eight
Step-by-step explanation:
31+7= answer
Answer:
i think its either 38 or 24
Step-by-step explanation:
How many super saiyans does it take to screw in a light bulb?
Answer:
bro just use ur hand
Step-by-step explanation:
Answer:
Probably a lot considering Vegeta couldn't safely break an egg :)
Step-by-step explanation:
factor x^3 +7x^2−5x−35
Answer:
(x^2-5)(x + 7)
Step-by-step explanation:
Here, we want to factorize the given expression
That would be;
x^2(x + 7) - 5(x + 7)
= (x^2-5)(x+ 7)
Answer:
(x+7) (x^2 - 5)
Step-by-step explanation:
x
3
+7x
2
−5x−35
=x
2
(x)+x
2
(7)−5(x)−5(7)
=x
2
(x+7)−5(x+7)
Now we are left with a common factor of (x+7)(x+7)left parenthesis, x, plus, 7, right parenthesis, so we can factor it out:
\begin{aligned} &\phantom{=}x^2\purpleC{(x+7)}-5\purpleC{(x+7)} \\\\ &=\purpleC{(x+7)}(x^2-5) \end{aligned}
=x
2
(x+7)−5(x+7)
=(x+7)(x
2
−5)
CORRECT ANSWER WILL BE MARKED BRAINLIEST!!
select the correct answer from each drop down menu. a parallelogram has the points L(-2,-2), M(-4,2), O(6,2), and P(8,-2).
If the parallelogram is dilated by a scale factor of 1/2, the points of the dilated figure are
L'-----, M'-----, O'-----, and P'----- (----- means blank)
To create the new figure, we must multiply each coordinate by the scale factor, which is 1/2 in this case.
So j(-2,2) becomes j'(-1,1)
K(4,2) becomes K'(2,1)
L(4,-2) becomes L'(2,-1)
and M (-2,-2) becomes M'(-1,-1)
The scale factor is between 1 and 0 which means that this dilation is a reduction that will shrink the original figure to a smaller one.
Answer:
This is the CORRECT answer
L' ( -2,-2) = ( -1,-1)
M' ( -4,2) = ( -2,1)
O' ( 6,2) = ( 3,1)
P' ( 8, -2) = (4, -1)
What is One-third of Four-fifths?
One-fifteenth
Three-fifteenths
Four-fifteenths
Seven-fifteenths
help pleseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee i think i spelled that wrong
but stillplese help
Given the equation log2x + log2(x – 7) = 3, solve for x.
Answer:
x∈{-1, 8}Step-by-step explanation:
[tex]\log_2x +\log_2(x-7) = 3\\\\\log_2[x\cdot(x-7)]= 3\log_22\\\\\log_2(x^2-7x)= \log_22^3\\\\x^2-7x=2^3\\\\x^2-7x-8=0\quad\implies \quad a=1\,,\ \ b=-7\,,\ \ c=-8 \\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot(-8)}}{2\cdot1}= \dfrac{7\pm\sqrt{49+32}}{2} =\dfrac{7\pm\sqrt{81}}{2}\\\\x=\dfrac{7+9}2=8\qquad\vee\qquad x=\dfrac{7-9}2=-1[/tex]
tamara has completed 60% of her practice time for the track meet. If she is expected to practice for 18h, how long has she already practiced?
Answer:
10h and 48min
Step-by-step explanation:
60*18=1080
1080/100=10.8
so 10.8h which means 10 hours and 48 min
Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Answer:
The answer is below
Step-by-step explanation:
Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.
a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.
b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Solution:
a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.
Using Pythagoras law for right angled triangle, we get that:
x² = 2.3² + 1.8²
x² = 8.53
x = √8.53
x = 2.9 miles to the nearest tenth
b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.
Let x = length of a straight line between Calvin's house and the music school. Hence:
x² = 1.8² + 1.4²
x² = 5.2
x = √5.2
x = 2.3 miles to the nearest tenth
Need help please asap
Answer:
the radius is 2.66ft
Step-by-step explanation:
my process of elimination:
first one: ❌ the radius is half of the length across (the dot) so 5.32ft divided by 2 it would be 2.66ft
sec. one: ❌ unlike the radius (which is half of the length across) the diameter is the full length across so the diameter would be 5.32ft
third one: ❌ actually almost tricked me then I remembered the circumference is for all around. this measurement only accounts for the diameter (5.32ft) and the radius (2.66ft)
fourth one: ✅simply was the truth. the radius is half of the diameter so if the diameter is 5.32ft then the radius is 2.66ft
I hope this helps I totally understand the struggles of math
Please help!!!
composition of functions
g(x)=2x-5 h(x)=x^2-2
find g(h(-8))
Answer:
g(h(-8)) = 119
Step-by-step explanation:
Given
g(x)=2x-5h(x)=x²-2To determine
g(h(-8)) = ?In order to determine g(h(-8)), we need to determine h(-8) first
substituting x = -8 in h(x)=x²-2
h(-8) = (-8)² - 2
h(-8) = 64 - 2
h(-8) = 62
so
g(h(-8)) = g(62)
now substituting x = 62 in g(x)=2x-5
g(62)=2(62)-5
g(62) = 124 - 5
g(62) = 119
so
g(h(-8)) = g(62) = 119
Therefore,
g(h(-8)) = 1191. What is the simple interest on $2500 invested at an interest rate of 6%
for 2 years?
Answer:
[tex]\boxed {\boxed {\sf \$300.00}}[/tex]
Step-by-step explanation:
The formula for simple interest is:
[tex]I=P*R*T[/tex]
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
We know the principal amount is $2500, the interest rate is 6%, and the time is 2 years.
We must convert the interest rate to a decimal.
Divide by 100 or move the decimal place two spots to the left. 6/100=0.06 or 6.0 --> 0.6 --> 0.06Now we know all the values.
[tex]P= 2500 \\R= 0.06 \\T= 2[/tex]
Substitute the values into the simple interest formula.
[tex]I= (2500)(0.06)(2)[/tex]
Multiply.
[tex]I=(2500)(0.12)\\I=300= \$ 300[/tex]
The simple interest is $300.00
[tex] \sf• \: Principle (p) = \$ \: 5200[/tex]
[tex] \sf• \: Rate \: of \: interest (r) = 6 \: \% = \frac{6}{100} [/tex]
[tex] \sf• \: Time \: (t) = 2 \: years[/tex]
[tex] \\[/tex]
[tex] \bf \underline{To \: Find :-}[/tex][tex] \sf• \: The \: Simple \: Interest \: (I)[/tex]
[tex] \\ [/tex]
[tex] \bf \underline{Solution :-}[/tex][tex] \sf We \: know \: that, [/tex]
[tex] \red {\bigstar\bf { \: I = prt}}[/tex]
[tex]⟹I = 2500 \times \frac{6}{100} \times 2[/tex]
[tex]⟹I = 300[/tex]
[tex] \\ [/tex]
[tex] \bf \blue{Hence, \: the \: \: Simple \: \: Interest \: \: is \: \: \$ \: 300. }[/tex]
Solve the system by subtitution y = 3x + 18 y = 5x
Answer:
x=9
Step-by-step explanation:
y=3x+18=5x
thus 3x+18=5x
subtract 3x from both sides 18=2x
simplify for x x=9
The required solution to the given system of equations is (x, y) = (9, 45).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The system of equations is given the question as:
y = 3x + 18
y = 5x
To solve this system of equations by substitution, we can start by substituting the equation y = 3x + 18 into the second equation, which gives us:
5x = 3x + 18
Then we can solve this equation for x:
2x = 18
x = 9
Now that we have found the value of x, we can substitute it back into either of the original equations to find the value of y:
y = 3x + 18 = 3(9) + 18 = 27 + 18 = 45
Therefore, the solution to the system of equations is (x, y) = (9, 45).
Learn more about the equation here:
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answer these 2 questions if ur smart?!?!?
1. (4x+5y)(2x-3y)+3xy= 4x*2x-4x*3y+5y*2x-5y*3y+3xy=8x^2-12xy+10xy-15y^2+3xy= 8x^2+xy-15y^2
2. (2x^2+3)(4x+5)-8x(x^2-2)=2x^2*4x+2x^2*5+3*4x+3*5-8x*x^2+8x*2=
=8x^3+10x^2+12x+15-8x^3+16x=
=10x^2+28x+15
Answer:
1. [tex]8x^2+xy-15y^2[/tex] 2. [tex]10x^2 + 28x + 15[/tex]
Step-by-step explanation:
For Question 1:
[tex](4x + 5y) (2x - 3y) + 3xy[/tex]
= [tex]8x^2 - 12xy + 10xy - 15y^2 + 3xy[/tex]
[tex]=8x^2+xy-15y^2[/tex] (cannot simplify any further)
For Question 2:
[tex](2x^2 + 3)(4x +5) - 8x(x^2 -2)[/tex]
[tex]=8x^3 + 10x^2 + 12x + 15 - 8x^3 + 16x[/tex]
[tex]=10x^2 + 28x + 15[/tex] (cannot simplify any further)
The aquarium where Evan works has a special tank for the baby sharks. The tank is shaped like a rectangular prism and is 18 meters long by 15 meters wide. It is 8 meters from the bottom of the tank to the top. What is the volume of the shark tank?
Answer:
The volume of the shark tank is [tex]2160 m^3[/tex]
Step-by-step explanation:
The tank is in the shape of a rectangular prism.
The length of the tank, [tex]l=18[/tex] m.
The width of the tank, [tex]w=15[/tex] m.
The height of the tank, [tex]h=8[/tex] m.
We know that, volume of a rectangular prism [tex]=l\times w \times h[/tex].
So, the volume of the tank [tex]=18\times 15\times 8=2160 m^3[/tex]
Hence, the volume of the shark tank is [tex]2160 m^3[/tex].
. _ .
................
Hey there!
I believe the answer to your question is 24.
If it's being reduced by 1/3, you are being left with 2/3, so we can take 2/3 of 9 and you get 6. Perimeter is adding up all the side lengths. Thus, we do 6 + 6 + 6 + 6, and that is 24.
Sorry for any confusion before, I didn't understand the problem before. Hope it helps! Have a great day, and sorry if it's late.
Members of a softball team raised $1648.50 to go to a tournament. They rented a bus for $896.50 and budgeted $47 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.
Answer:
The number of players the team can bring to the tournament is 16.
Step-by-step explanation:
With the information provided, the equation would express that the total cost to go to the tournament is equal to the price to rent a bus plus the result of multiplying the amount per player for meals for the number of players.
Total cost=896.50+47x, where:
x is the number of players
Now, as you know that the softball team raised $1,648.50 to go to a tournament, you can replace the total cost with this number and solve for x:
1,648.50=896.50+47x
1,648.50-896.50=47x
752=47x
x=752/47
x=16
According to this, the answer is that the number of players the team can bring to the tournament is 16.
Answer:
Equation: 47x + 896.5 = 1648.5
X= 16
Step-by-step explanation:
Delta Math
PLSSSS HELPPPPPP ME WITH MATHHH
Answer:
x = 62
Step-by-step explanation:
If the triangle has two values that are the same like your 6s that means that they have the same angle, so you take the angle(56 degrees) and subtract 180 and 56 making 124. You take 124 and divide it by 2. Making x =62.
graph the circle (x+2)^2+(y-6)^2=9
Answer:
8
Step-by-step explanation:
Step-by-step explanation:
I did this on desmos I hope it helps
Which is the better value?
A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70
Answer:
B
Step-by-step explanation:
2.16/6 = 0.36 cents per 1 ounce
2.70/10 = 0.27 center per 1 ounce
Therefore B. 10 ounces of hot Cheetos for $2.70
Jake said he can find 630 ÷ 10 by taking the 0 off of 630 to get 63. Jake finds 35.270 ÷ 10 using the same method and gets 35.27. Use the drop-down menus to complete the statement about why Jake is correct or incorrect.
Answer:
Jake is incorrect with his methodology for solving these problems
Step-by-step explanation:
Jake is incorrect with his methodology for solving these problems. This is because dividing a number by 10 requires moving the decimal point one digit to the left. When dividing 630 by 10, removing the zero works because by moving the decimal one digit to the left we would simply drop the zero and the decimal would not be needed leaving the answer as 63. However, this does not work on numbers that already have a decimal such as 35.270. This number divided by 10 would be 3.527 but simply removing the 0 like Jake states would give us the incorrect answer of 35.27
Answer:
Step-by-step explanation:
Answe please BEN..........
Answer:
its the first one
Step-by-step explanation:
t - 3 > -5
+3 > +3
___________
t > -2
t is greater than -2 so the line should point to the right, and it should be an empty circle on -2 because it is not a greater than or equal to sign.
Answer:
t>-2
Step-by-step explanation:
Treat this like an equation and add -3 to both sides:
t>-2
The correct choice should be #1
Denver, Colorado is called " The Mile High City" because of it's elevation is 5280 feet above sea level. Someone tells you that the elevation of Death Valley, California is- 282 feet.
Answer:
A. 5,562 feet higher
B. 0 feet
Step-by-step explanation:
A. Calculation for how many feet higher is denver than death valley
Numbers of feet=5,280 feet-(- 282 feet)
Numbers of feet=5,280 feet+282 feet
Numbers of feet=5,562 feet higher
Therefore the numbers of feet higher is denver than death valley will be 5,562 feet higher
B. Since ocean level tend to have 0 feet which means that in a situation where you were standing close to the ocean what the elevation would be is 0 feet.
HELP! Can someone please explain to me how to solve this question?
"At what point do the equations intersect? y = 25x + 54 and y = 15x + 14
Answer:
[tex](-3.1, -32.5)[/tex]
Step-by-step explanation:
Set the equations equal to each other: 25x+45=15x+14
Solve for x: 10x = -31
Solve for x: x=-3.1
Plug the x value back into one of the equations to find the value of y:
y = 15 (-3.1) +14
y = -32.5
Answer:
7,68
Step-by-step explanation:
y=2x+54
y=15x+14
you can do elimination so you need to multiply the x's by -15 and 2
y=-30x+54
y=30x+15
the x's are canceled out and you add the remaining
y=54. y=68
y=15
To find x you makes an equation of one of the equations given
68=2x+54
14=2x
7=x
calculate the volume of a pentagonal prism with: side length = 16, apothem= 11cm, and height= 4cm
Answer:
:)
Step-by-step explanation:
The answer is ≈1761.76886
Help asap ...................
Answer:
One: Median = 2
Two: Mean = 3.25
Step-by-step explanation:
One
Put the dots in order
1 1 1 2 2 3 3
There are seven groups altogether.
The middle one is a 2.
The median is 2.
Two
The mean is the average.
The average of the 4 groups is
1 3 6 3 = 13
The average is the sum of the dots.
13/4 = 3.25
The total cost (c) in dollars of renting a car for n days is given by the inequality LaTeX: c\ge125+50nc ≥ 125 + 50 n. What is the maximum number of days for which a car could be rented if the total cost was $425?
Answer:
6 daysStep-by-step explanation:
Given the inequality expression of the total cost (c) in dollars of renting a car for n days as c ≥ 125 + 50n
To get the maximum number of days for which a car could be rented if the total cost was $425, substitute c = 425 into the expression and find n
425 ≥ 125 + 50n
Subtract 125 from both sides
425 - 125 ≥ 125 + 50n - 125
300≥ 50n
Divide both sides by 50
300/50≥50n/50
6 ≥n
Rearrange
n≤6
Hence the maximum number of days for which a car could be rented if the total cost was $425 is 6days
the graph of y=f(x) is shown below. what are all of the real solutions of f(x)=0
All real solutions of the function y=f(x) are x = -4 and x = 4
What is a solution ?Suppose that we've a function y = f(x) such that f(x) is quadratic.
When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0. These solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.
we are Given graph in the attachment represents the function y = f(x)
Since Real solutions of the function shows all the points where the curve of the graph either touches or crosses the x-axis.
Thus the graph of the function touches and crosses at x = -4 and x = 4
Therefore, all real solutions of the function y=f(x) are x = -4 and x = 4
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Simplify: -x - 4x + 2
Answer:
5x+2
Step-by-step explanation:
:)
Answer:
16x little 2 on top - 40xy + 25y little 2 on top
Step-by-step explanation:
Please help, 20 points.
Answer:
B
Step-by-step explanation:
3×+ 4y =24
3x -y = 3 It is just like algebra I might be wring but I tryed