Complete Question
Given two independent random samples with the following results:
[tex]n_2=13\ , \= x_2=171\ s_1=23[/tex]
Use this data to find the 90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed.
Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.
Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
Step 3 of 3: Construct the 90% confidence interval. Round your answers to the nearest whole number.
Answer:
Step 1 of 3:
[tex]\= x_p = 15[/tex]
Step 2 of 3:
[tex]E =7.79[/tex]
Step 3 of 3:
[tex] 7.21 < \mu_1 - \mu_2 < 22.79[/tex]
Step-by-step explanation:
Now considering the Step 1 of 3, the point estimate that should be used in constructing the confidence interval is mathematically represented as
[tex]\= x_p = \= x_1 - \= x_2[/tex]
=> [tex]\= x_p = 186 - 171[/tex]
=> [tex]\= x_p = 15[/tex]
Now considering the Step 2 of 3
Given that the confidence level is 90% then the level of significance is mathematically represented as
[tex]\alpha = (100-90)\%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 - 2[/tex]
=> [tex]df = 13 + 13 - 2[/tex]
=> [tex]df = 24[/tex]
From the student t-distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 24 \ is \ \ t_{\frac{\alpha }{2} ,df} = 1.711[/tex]
Generally the pooled variance is mathematically represented as
[tex]s_p^2 = \frac{ (13 -1 ) 33^2 + (13 -1 ) 23^2 }{(13 - 1 )(13 - 1)}[/tex]
[tex]s_p^2 = 134.83 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2} ,df } * \sqrt{\frac{s_p^2}{n_1} +\frac{s_p^2}{n_2} }[/tex]
=> [tex]E = 1.711* \sqrt{\frac{134.83}{13} +\frac{134.83}{13}}[/tex]
=> [tex]E =7.79[/tex]
Now considering the Step 3 of 3
Generally the 90% confidence interval is mathematically represented as
[tex]\= x_p -E < \mu_1 - \mu_2 < \= x_p +E[/tex]
=> [tex] 15 -7.79 < \mu_1 - \mu_2 < 15 +7.79[/tex]
=> [tex] 7.21 < \mu_1 - \mu_2 < 22.79[/tex]
MATH QUESTION... NEED HELP
Answer:
C. 7 inches I hope this helps
What is the direction (angle) of the resultant vector?
Rx = -419
Ry = -253
R = 490
θ = ____ ° counterclockwise from the +x-axis
Answer:
[tex]\theta = 148.8[/tex]
Step-by-step explanation:
Given
[tex]R_x = -419[/tex]
[tex]R_y = -253[/tex]
[tex]R = 490[/tex]
Required
Determine the value of [tex]\theta[/tex]
Since, [tex]\theta[/tex] is counter clockwise from x axis;
The relationship between [tex]\theta[/tex], [tex]R_x[/tex] and R is
[tex]cos\theta = \frac{R_x}{R}[/tex]
Substitute values for Rx and R
[tex]cos\theta = \frac{-419}{490}[/tex]
[tex]cos\theta = -0.8551[/tex]
Take arccos of both sides
[tex]\theta = cos^{-1}(-0.8551)[/tex]
[tex]\theta = 148.770784108[/tex]
[tex]\theta = 148.8[/tex] (Approximated)
What is the prime factorization of 36
Answer:
[tex]2^{2} x 3^{2}[/tex]
Step-by-step explanation:
Answer:
2^2*3^2
Step-by-step explanation:
You can break down 36 through ways down to its prime factors through multiple ways like a facor tree
36
4 9
2 2 3 3
Since two and three cannot be broken down anymore, they are prime factors. Also, because you are left with two 2s and two 3s, you would mark that as squared when giving an answer.
Which statement is true? Question 7 options: A) |–3| = 3 and –|–4| = –4 B) |–3| = 3 and –|4| = 4 C) –|3| = 3 and |4| = 4 D) |–3| = 3 and |–4| = –4
Answer:
option A is correct
Step-by-step explanation:
mod's has a simple function -
if |x| is given it simply means that the value of "X" can't be negative
Option A is correct, |–3| = 3 and –|–4| = –4 is true statement.
What is Number system?A number system is defined as a system of writing to express numbers.
The absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.
|-x|=x
For option A
|–3| = 3 and –|–4| = –4 is true
For option B
|–3| = 3 and –|4| = 4 is not true because –|4| is -4.
For option C
–|3| = 3 and |4| = 4 is not true because –|3| is -3
For option D
|–3| = 3 and |–4| = –4 is not true because |-4| is 4
Hence, option A is correct, |–3| = 3 and –|–4| = –4 is true statement.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ5
If
3x^2+ 9x + 11
X – 1 =
3x2 + 3x + a + 23
X-1
what is the value of a?
Answer:
a = -6 - 6x + 3x^2
Step-by-step explanation:
every square root is a rational number true or false
Answer:
False
Step-by-step explanation:
The principal square root of most numbers is an irrational number with an infinite decimal expansion.
Not every square root is irrational but the statement says EVERY so false.
Hope I helped!
Please label mine as brainliest!
Answer:
False
There can be irrational numbers too. Complex, even. Also, Imaginary.
Does seth or briana walk faster
Answer:
PLEASE GIVE BRAINLIST
you need to be more pacific on your question so that can other people can help you.
HOPE THIS HELPED
Use linear equation to calculate intercepts. x minus one-half y = negative 4 Complete the table with values for a and b. A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.
Answer:
Use linear equation to calculate intercepts.
x minus one-half y = negative 4
Complete the table with values for a and b.
A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.
a =
✔ 8
b =
✔ –4
Step-by-step explanation:
those are ur correct answers
Answer:
Use linear equation to calculate intercepts.
x minus one-half y = negative 4
Complete the table with values for a and b.
A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.
a =
✔ 8
b =
✔ –4
Step-by-step explanation:
help plz I GIVE OUT BRAINIEST!
He ran 100 meters in 9.63 seconds, so we can set up the equation below and do these steps...
100 meters = 9.63 seconds
10.384 meters = 1 second (divide both sides by 9.63)
37382.4 meters = 3600 seconds (multiply both sides by 3600)
37382.4 meters = 1 hour
His speed is roughly 37382.4 meters per hour, which is less than 40234 meters/hr = 25 mi/hr
Answer: his speed is less than the speed limit 25 mphConsigna:
Resuelve el siguiente problema:
Para comprar un juego de mesa para divertirnos en familia durante la pandemia. yo aporté un quinto (6)
del total del precio, mi hermana María aportó la sexta parte (') y mi papá aporto el resto que faltaba.
¿Qué parte del costo del del juego aportó mi papá? Si pagamos el total de $90, ¿Cuánto dinero puso
cada uno?
DATOS
GRÁFICOS O DIBUJOS OPERACIONES
RESULTADOS
Answer:
El padre pago el 63% del valor del juego, es decir, $57.
Step-by-step explanation:
Si el valor total del juego es de $90, y el redactor aportó una quinta parte del total del precio, el total aportado por él es de $18 (90 / 5 = 18). A su vez, su hermana María aportó una sexta parte del valor, es decir $15 (90 / 6 = 15). Por ende, el padre de los niños aportó $57 (90 - 18 - 15 = 57), es decir, el 63% del valor total.
Solve for k.
k/4 + 8 = 12
Answer:
k = 16
Step-by-step explanation:
To solve this we must isolate k. Let's first simplify this equation by subtracting 8 from both sides:
k/4 = 4
Next, remove the fraction by multiplying both sides by 4:
k = 16
Multiply (6x^3+8)(7x^2+8x+7)
A landscape architect wants to plant a circle of flowers around a triangular garden. She has sketched the triangle on a coordinate grid with vertices at A (0, 0), B (8, 12), and C (18, 0). Explain how the architect can find the center of the circle that will circumscribe triangle ABC. Then find the radius of the circumscribed circle.
Answer:
The center of the circle is the point (6,3)
what is 4+7 im having a hard time in 2nd grade
Answer: 11
Step-by-step explanation: 7+1+1+1+1 = 11
7 8 9 10 11
helphelphelphelphelphelph
Answer:
first 2 are right and last is right, but 3 is 30 not 66
Step-by-step explanation:
Answer:
you got 1 and 2 and 4 right but 3 is 30
Step-by-step explanation:
3 is 30 because you have to multiply before you add due to pemdas
Find the midpoint of the segment with the given endpoints. (8, 0) and (- 10, 4)
Answer:
(-1, 2)
Step-by-step explanation:
The midpoint coordinates are the average of the end point coordinates:
M = (A +B)/2
M = ((8, 0) +(-10, 4))/2 = (8-10, 0+4)/2 = (-1, 2)
The midpoint is (-1, 2).
Find the value of x for which l is parallel to m. The diagram is not to scale.
Answer:
x= 41
Step-by-step explanation:
3x-43= 80 is the equation since they are alternate interior angles.
Step 1- Add 43 to both sides.
3x-43= 80
+43 +43
Step 2- Divide both sides by 3.
3x= 123
3 3
x= 41
The given angles are the alternate interior angles formed by a common
transversal to two parallel lines.
The value of x for which line l is parallel to line m is c. 41°.
Reasons:
When line l is parallel to line line m, we have;
The alternate interior angles will be equal
Therefore;
(3·x - 43)° = 80°
Which gives;
[tex]x = \dfrac{80^{\circ} + 43^{\circ} }{3} =41^{\circ}[/tex]
The value of x is 41°Learn more here:
https://brainly.com/question/16987641
Both of the equations below have the same solution when solved for x. What is the value of t?
Answer:
-.75x-6
Step-by-step explanation:
Step 1: simplify the first equation
1/4(x-28)=2x, or .25x-7=2x.
Step 2: simplify the second equation so that one side equals 2x
13-5x=-7.5x-t. Add 7x to either side to get 13+2x=-.5x-t. Then, subtract 13 from either side and then you have 2x=-.5x-t-13
Step 3: make both equations into one equation
Since 2x=.25x-7, and 2x=-.5x-t-13, then it's safe to say .25x-7=-.5x-t-13.
Step 4: Simplify this final equation
Add .5x to both sides to get .75x-7=-t-13. Then add 13 to both sides to get .75x+6=-t. Then multiply everything by -1 to get -.75x-6=t
Choose the algebraic expression that represents the area of a triangle that has a base 4 inches less than 5 times wider than the height.
a (1/2)(5h)(h – 4)
b (1/2)(5b + 4)(b)
c (1/2)(5h – 4)(h)
Answer:
c (1/2)(5h – 4)(h)
Step-by-step explanation:
Area of a triangle = 1/2 × base × height
Let
Height of the triangle = h
Base 4 inches less than 5 times wider than the height.
Base of the triangle = 5h - 4
Area of a triangle = 1/2 × base × height
= (1/2)(5h-4)(h)
The algebraic expression that represents the area of a triangle that has a base 4 inches less than 5 times wider than the height is (1/2)(5h-4)(h)
Option C is the correct answer
Answer:
c
Step-by-step explanation:
i had this same question a while ago
A
Para resolver los siguientes casos, plantea sistemas de
ecuaciones en tu cuaderno y encuentra los valores de las
incógnitas.
1. Horacio quiere poner una hamaca en su jardín. Tiene una cuer-
da que mide 14 metros para amarrar los dos extremos de la
hamaca, por lo que decide cortar la cuerda en dos. Si un pedazo
de cuerda mide 4 metros más que el otro, ¿cuánto miden las
nuevas cuerdas?
2. Imagina que vas a la tienda con un amigo y compras 6 paletas
y 2 gomitas. Tu amigo pide 1 paleta y 10 gomitas. Si tú pagas
$24 y tu amigo $33, ¿cuánto cuestan las gomitas y las paletas?
porfavor ayuda es para una tarea de mañana antes de las 8
Answer:
1 La longitud de las nuevas cuerdas = 5 metros y 9 metros
2 El costo de las paletas = $ 3
El costo de las gomitas = $ 3
Step-by-step explanation:
1) Sea la primera mitad de la cuerda representada por = a
Deje que la segunda mitad de la parte superior esté representada por = b
a + b = 14 metros
De la pregunta, se nos dice que ok, la mitad es 4 metros más larga que la otra
a = b + 4
Por lo tanto
b + 4 + b = 14 metros
2b + 4 = 14 metros
2b = 14 - 4
b = 10/2
b = 5 metros
a = b + 4
a = 5+ 4
a = 9 metros
Por lo tanto, la longitud de las nuevas cuerdas = 5 metros y 9 metros
2)
Representemos el costo de las paletas = p
Costo de gomitas = g
De la pregunta 2 se nos dice que:
Tu vas a la tienda con un amigo y compras 6 paletas y 2 gomitas. Si tú pagas $ 24
Por tanto: 6p + 2g = 24 ....... Ecuación 1
Tu amigo pide 1 paleta y 10 gomitas. y tu amigo $ 33
p + 10g = 33 ....... Ecuación 2
p = 33 - 10g
Sustituya p por 33 - 10g en la Ecuación 1
6p + 2g = 24 ....... Ecuación
6 (33-10 g) + 2 g = 24
198 - 60 g + 2 g = 24
-58g = 24-198
-58g = - 174
g = -174 / -58
g = $ 3
Para encontrar p
p = 33 - 10g
p = 33 - 10 × 3
p = 33 - 30
p = $ 3
Por lo tant,
El costo de las paletas = $ 3
El costo de las gomitas = $ 3
I didn’t post the question I’m sorry but helppp :cc
I don’t get thiss so can someone help me
Step-by-step explanation:
use algabraic expreshens it will help trust me
Which inequality best represents the Domain of the part show ?
a) y_>4.5
b) x_>4.5
c) y_> -2
d) x_>-2
Answer: D) [tex]x \ge -2[/tex]
==================================================
Explanation:
The domain is the set of all allowed x inputs.
The furthest to the left the curve goes is x = -2. So this is the smallest x value allowed as an input.
The largest input has no restriction since it grows forever toward the right (due to the arrow).
So we say that x can be -2 or larger meaning [tex]x \ge -2[/tex] is the domain.
-----------------
Extra info:
In interval notation, the domain would be [tex][-2, \infty)[/tex] to indicate the interval from -2 to positive infinity. The square bracket says "include the endpoint". The curved parenthesis says "exclude the endpoint". We can never reach infinity, so we cannot possibly include it as an endpoint, so we always use parenthesis for either infinity.
factorize6 + 13mn + 7mn?
☽------------❀-------------☾
Hi there!
~
Let's simplify step-by-step.
[tex]6 + 13mn + 7mn[/tex]
Combine Like Terms:
[tex]= 6 + 13mn + 7mn\\= (13mn+ 7mn) + (6)\\= 20mn + 6[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
Find the base for the following items.
4 is 1% of what number?
Answer:
400
Step-by-step explanation:
A car travels west for 240 km in 4 hr. What is the car's velocity? *
1 point
16.67
Answer:
velocity of the car is 16.667
Step-by-step explanation:
first
changing si unit of both km and hrs into meter and second
then
v= m/s
v=240000/14400
v= 16.667m/s
Answer:
answer
Step-by-step explanation:
Velocity equals distance divided by time.
240 km divided by 4 h
Velocity equals 60 km/h W
any help please, asap
J = 0 because it is the midpoint of K and P.
Since we know that K is at -5 and P is at 5, KP = 10
Both KP and JQ are equal to 10, therefore, they are equal.
Answer:
14. j=0
15. KP=10
16. yes
Step-by-step explanation:
(The two letters next to each other means that the question is asking for the distance between the points. For example, KP is the distance from K to P, or P to K.)
14.:
If P is the midpoint of J and Q, that means that there is an equal distance between Q and P and J and Q. So, you can see this because
Q-P=5 and 5*2= J
So the distance from J to Q is 10, but to find what J is, subtract the distance from Q, leaving you with 0. So, J=0.
15.:
Since each line represents 5 and the distance from -5 to 5 is 10, KP = 10.
16.:
Since KP = 10 and JQ = 10, then yes, they are the same.
1. Ms. Scott raised $4,763 for the local charity. Find the opposite of this integer.
Answer:
D
Step-by-step explanation:
Shsgbsbdh
Answer the following questions using the table below.
-2
-1
0
-10
-8
-6
-4
1
Is this a linear function?
<
What is the slope?
h
What is the y-intercept?
What is the equation of the linear function?
Answer:
the - are the x or y
Step-by-step explanation:
You run 1/12 miles in 1/2 minutes. How many miles per hour do you run?
Answer:
10 miles per hour
Step-by-step explanation:
1/12 miles
------------------
1/2 minute
1/12 ÷1/2
Copy dot flip
1/12 * 2/1
1/6 miles per minute
We need to convert minutes to hours
1 hours = 60 minutes
1/6 miles / minutes * 60 minutes/ hour
= 60/6 miles per hour
10 miles / hour