Using the t-distribution, we have that:
a. The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.
b. The 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.
We have the standard deviation for the sample, hence the t-distribution is used to solve this question.
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.In this problem, the parameters are:
[tex]n = 30, \overline{x} = 1.267, s = 1.23[/tex]
Item a:
The standard error is:
[tex]S_e = \frac{s}{\sqrt{n}} = \frac{1.23}{\sqrt{30}} = 0.2246[/tex]
The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.
Item b:
Using a t-distribution calculator, considering a confidence level of 0.99 with 30 - 1 = 29 df, the critical value is t = 2.7564.
Hence:
[tex]\overline{x} \pm tS_e[/tex]
[tex]\overline{x} - tS_e = 1.267 - 2.7564(0.2246) = 0.6479[/tex]
[tex]\overline{x} + tS_e = 1.267 + 2.7564(0.2246) = 1.8861[/tex]
The 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.
To learn more about the t-distribution, you can take a look at https://brainly.com/question/16313918
Underline the abstract nouns in the sentences. 1. Loyalty and patriotism are admired in citizens.
Answer:
Loyalty and patriotism are admired in citizens.
Answer:
Step-by-step explanation:
First of all, pick out the nouns.
Loyalty
Patriotism
Citizens
Now here's the thing. You can touch or smell or see or hear or feel (with your hands) concrete nouns. If you can't touch them etc., they are abstract nouns.
You can touch a citizen. If you don't believe me, go hug your mom. But how do you touch Loyalty and Patriotism? You can't. So those two nouns are your abstract nouns.
Relaciona el número con su lectura. Luego,selecciona la respuesta correcta
De acuerdo con la información presentada se puede inferir que la relación entre los números y letras es 1b, 2d, 3a, y 4c (opción a)
¿Qué es un número entero?Los números enteros son todos los números que pertenezcan a la categoría de los números naturales. Adicionalmente, se incluyen sus opuestos negativos incluyendo el número cero (0).
De acuerdo con lo anterior, debemos asociar los números con la forma correcta de escribirlos. Primero debemos tener en cuenta el número que está antes de la coma.
Por ejemplo el primer número solo puede relacionarse con las opciones B y D, debido a que estos comienzan con el 3.
Posteriormente, nos fijamos en el número que está después de la coma que en el caso del primer número sería cuatro mil ciento cinco millonésimos. Entonces el número 1, se asociaría con la letra b.
Entonces la opción 2 se debe relacionar con la opción restante que dice tres, antes de la coma, es decir, la opción d.
En cuanto a las opciones que comienzan con el 32, antes de la coma realizamos el mismo procedimiento de fijarnos en el número que está después de la coma. En el caso del número 3. tiene el número cuatrocientos un mil cinco millonésimas después de la coma, entonces sería la opción A.
Por último, la única opción que queda sería la opción C que se relaciona con el número 4.
Nota: Esta pregunta está incompleta debido a que hay información faltante. Aquí está la información faltante:
1) 3,04105
2) 3,4105
3) 32,401005
4) 32,040105
A) Treinta y dos enteros con cuatrocientos un mil cinco millonésimos.
B) Tres enteros con cuatro mil ciento cinco millonésimos.
C) Treinta y dos enteros con cuarenta mil ciento cinco millonésimos-
D) Tres enteros con cuatro mil ciento cinco diezmilésimos.
Opciones de respuesta:
A. 1b, 2d, 3a, 4c
B. 1a, 2d, 3b, 4c
C. 1a, 2c, 3b, 4d
D. 1b, 2a, 3d, 4c
Aprenda más sobre número en: https://brainly.com/question/25062468
[tex]-x^{2} +7x-10=o\\[/tex]
solve using sum product method
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - {x}^{2} + 7x - 10 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: - {x}^{2} + 2x + 5x - 10 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: - x(x - 2) + 5(x - 2) = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: ( x- 2)( - x + 5) = 0[/tex]
Therefore, there are two solutions for x ;
Case 1[tex]\qquad \sf \dashrightarrow \: x - 2 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 2[/tex]
Case 2[tex]\qquad \sf \dashrightarrow \: - x + 5 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: - x = - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 5[/tex]
Two trains start at he same point at the same time and simultaneously travel in opsonist direction. The speed of the first trains is 60 mph and the speed of the second train is 70 mph. How far apart will they be 3.5 hours?
Answer: 455 mph
Step-by-step explanation:
if train one is traveling one way at 60mph, then you have to multiply that by 3.5 to see how far it traveled in that amount of time.
60 x 3.5 = 210
then, you have to multiply 3.5 by 70mph, to see how far the second train has traveled in that amount of time
70 x 3.5 = 245
finally, since both trains are moving in opposite directions, you have to add up the distances together to get the final difference
210 + 245 = 455
Both the trains are in an opposite direction. after 3.5 hours they will be apart from a distance of 455.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
Speed x time = Distance
Two trains start at the same point at the same time and simultaneously travel in an opposite direction.
we need to find that how far apart will they be 3.5 hours.
The speed of the first train is 60 mph
Speed x time = Distance
= 60 x 3.5
= 210
The speed of the second train is 70 mph.
Speed x time = Distance
= 70 x 3.5
= 245
Since both trains are moving in opposite directions, we have to add up the distances together to get the final difference.
210 + 245 = 455
Learn more about speed here;
https://brainly.com/question/7359669
I need help with this
(-7)(-5) =
Solve for [tex]x.[/tex]
[tex]\;[/tex] [tex]\left\lfloor\dfrac{x}{2}\right\rfloor\cdot \left\lceil\dfrac{2}{x}\right\rceil=17[/tex]
Notice that both ⌊x/2⌋ and ⌈2/x⌉ are integers, so they must be divisors of 17. But 17 is prime, so either
⌊x/2⌋ = 1 and ⌈2/x⌉ = 17
or
⌊x/2⌋ = 17 and ⌈2/x⌉ = 1
Let x = 2y for some real number y.
• Suppose ⌊x/2⌋ = 1 and ⌈2/x⌉ = 17. Then by definition of floor and ceiling,
⌊x/2⌋ = ⌊2y/2⌋ = ⌊y⌋ = 1 ⇒ 1 ≤ y < 2 ⇒ 2 ≤ x < 4
and
⌈2/x⌉ = ⌈2/(2y)⌉ = ⌈1/y⌉ = 17 ⇒ 16 < 1/y ≤ 17 ⇒ 2/17 ≤ x < 1/8
but this is impossible.
• Suppose ⌊x/2⌋ = 17 and ⌈2/x⌉ = 1. Then
⌊x/2⌋ = ⌊y⌋ = 17 ⇒ 17 ≤ y < 18 ⇒ 34 ≤ x < 38
and
⌈2/x⌉ = ⌈1/y⌉ = 1 ⇒ 0 < 1/y ≤ 1 ⇒ 2 ≤ x
The solution set is the intersection of these two intervals, which is
34 ≤ x < 38
Edit: 17 can also be factorized as (-1) × (-17), so we have two more cases to consider:
• If ⌊x/2⌋ = -1 and ⌈2/x⌉ = -17, then
⌊x/2⌋ = ⌊y⌋ = -1 ⇒ -1 ≤ y < 0 ⇒ -2 ≤ x < 0
⌈2/x⌉ = ⌈1/y⌉ = -17 ⇒ -18 < 1/y ≤ -17 ⇒ -2/17 ≤ x < -1/9
so that -2/17 ≤ x < -1/9 is also a solution.
• If ⌊x/2⌋ = -17 and ⌈2/x⌉ = -1, then
⌊x/2⌋ = ⌊y⌋ = -17 ⇒ -17 ≤ y < -16 ⇒ -34 ≤ x < -32
⌈2/x⌉ = ⌈1/y⌉ = -1 ⇒ -2 < 1/y ≤ -1 ⇒ 2 ≤ x < 4
but this is also impossible.
What is the last digit of 2022⁸ ( 2022^8)
correct answer gets brainliest
Answer:
The actual correct answer is this: 2022⁸! Hope this helps!
Retro rides HELP
On my last question help me out study island question
A new car is purchased for $47, 000 and over time its value depreciates by one half
every 4.5 years. What is the value of the car 23 years after it was purchased, to the
nearest hundred dollars?
Answer:
$1500
Step-by-step explanation:
you can figure it out by going in increments of 4.5 years because that is the info you have from the problem so
47000 4.5 years later is 23500
9 years = 11750
13.5y = 5875
18y = 2937.5
22.5 years later is 1468.75
22.5 years is about 23 years and to the nearest hundred dollars that is $1500 so that is the answer
Hope this helps! :)
we know the car depreciates every 4.5 years, and we also know its by one half or namely the depreciation rate is 50% of its value.
[tex]\textit{Periodic/Cyclical Exponential Decay} \\\\ A=P(1 - r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &47000\\ r=rate\to 50\%\to \frac{50}{100}\dotfill &0.5\\ t=years\dotfill &23\\ c=period\dotfill &4.5 \end{cases} \\\\\\ A=47000(1 - 0.5)^{\frac{23}{4.5}}\implies A=47000(0.5)^{\frac{46}{9}}\implies A\approx 1400[/tex]
PLEASE HELP
ILL GIVE BRAINLIEST AND EXTRA POINTS
Answer:
IF THE IMAGE READS: 3^7 ÷ 3^8 x 3^4 THEN THE ANSWER IS BELOW.
The answer would then be 3^3 which is not clear but possibly option A.
Salina spent 100 minutes finishing her homework last night. She spent 23% of her time completing her math homework. Which model represents 23%?
A grid model with 100 squares. 13 squares are shaded.
A grid model with 100 squares. 23 squares are shaded.
A grid model with 100 squares. 27 squares are shaded.
A grid model with 100 squares. 73 squares are shaded.
Answer: Answer B, A grid model with 100 squares. 23 squares are shaded
Fill in the blanks to solve 6 x 52
PLEASE HELP ASAP!!! Many points!! Brainliest!
Question 15 Multiple Choice Worth 5 points)
(07.01 MC)
Which set of steps shows the solution to the equation 3y = -9?
A. y = -9 - 3; y = 6
B. y = -9 + 3; y = -3
C. y = -9 -(-3); y = 3
D. y = -9 -(-3); y = -6
Answer:
b
Step-by-step explanation:
2) Sarah had fifty-eight files on her computer. She
deleted thirty-one of them and put the rest into
folders with nine files in each one. How many folders
did Sarah end up with?
Answer:
I got 3 if it's correct I hope this helped
Step-by-step explanation:
58 - 31 = 27
27 divided by 9 = 3
that's how I got my answer!
Trig Project
1.) The plane left LaGuardia Airport at 3:25 pm and, about two minutes later, struck a flock of birds. The plane had
travelled four miles from LaGuardia and was ascending at an angle of elevation of 7.7°. Calculate the plane's
height above ground level at the time of the bird strike to the nearest tenth of a foot.
The plane still climbed in altitude for 19 more seconds after the bird strike even after it lost thrust in both engines,
reaching a maximum height of 3060 ft.
2.) In order to reach its maximum height of 3060 ft., the plane had to increase its altitude by 242 ft and travel a
horizontal distance of 7150 ft.
(a) Calculate the distance the plane had to travel in order to increase its altitude by 242 ft. Round your answer
to the nearest tenth of a foot.
(b) Find the angle of elevation (to the nearest hundredth of a degree) at which the plane climbed during this
time interval. You do not have to draw a diagram to answer this part of the question.
3.) At this point, the plane started to descend. As the plane turned, its altitude dropped from 3060 feet to 1650 feet
above ground level. Calculate the angle of depression at which the plane descended to the nearest hundredth of
a degree if the horizontal distance it travelled was 0.5 miles.
4.) The plane continued to descend, but leveled off to an angle of depression of 3º.
(a) If the plane descended for two miles diagonally, how many feet (to the nearest tenth) did it drop in
b) Using the information provided in problem 3 and your answer to part (a) of problem 4, find the new
altitude of the plane at this time. Show your work.
5.) At this point, the plane crossed over the George Washington Bridge and landed in the Hudson River at an angle
of depression of 2º. From the time the plane crossed over the bridge to the time it landed in the river, it travelled
3.5 miles horizontally.
(a) By how many feet (to the nearest tenth) did the airplane descend in altitude during this time interval?
(b) Using the information from problem 4(b) and problem 5(a), find the new height of the plane (in feet) after
its descent.
(c) If the bridge is 212 feet above the water, by how many feet did the airplane clear the bridge? Show your
work.
(d) Air Traffic Control at La Guardia Airport reported seeing the aircraft pass less than 900 feet above the
George Washington Bridge. Do your calculations support this statement? Explain
Answer:
bump
Step-by-step explanation:
bump
At the market. 8 apples cost $4.
How much do 9 apples cost?
analyze problem
find apple-cost ratio
8-4
simplify ratio
2-1
find apple amount(given)
9/2=4.5
4.5*1=4.5
Answer:4.5
The last customer of the day calls telling you they purchased 96 meters of fencing to fence in a
circular area around their flagpole. They want to know how much area of concrete they'd need to
buy to cover the entire circular pad around the flagpole. Using their fence as the circumference,
calculate how much area they will need to cover with the concrete for their circular pad.
Answer:
Area = 733 m² (to the nearest meter)
Step-by-step explanation:
Formulae
Circumference of a circle = 2[tex]\pi[/tex]rArea of a circle = [tex]\pi[/tex]r²(where r is the radius of the circle)
Find the radius
circumference = 96 m
Using the circumference of a circle formula:
⇒ 2[tex]\pi[/tex]r = 96
⇒ [tex]\pi[/tex]r = 96 ÷ 2 = 48
⇒ r = 48 ÷ [tex]\pi[/tex] = 48/[tex]\pi[/tex]
Find the area
radius r = 48/[tex]\pi[/tex]
Using the area of a circle formula:
⇒ A = [tex]\pi[/tex]r²
⇒ A = [tex]\pi[/tex](48/[tex]\pi[/tex])²
⇒ A = 2304/[tex]\pi[/tex]
⇒ A = 733.3859778...
⇒ A = 733 m² (to the nearest meter)
A camp leader figures that she needs one tent for every three campers, plus a tent for herself. Define a variable and write an expression to represent the number of tents needed.
Answer:
3x=P
Step-by-step explanation:
The 3x shows how many campers can fit in one tent so x=campers and then the p is to show how many tents the camp leader needs.
help please i will mark brainliest if the answer is correct
Answer:
2
-2
-1.5/7,-1)
-2
2
Step-by-step explanation:
Also your first answer is correct ma'am or sir! thank me later
Reflect this figure over the x-axis:
Answer:
Coordinates:
(-1, -2), (-1, -4), (-3, -2), (-3, -4)
HELP ASAP PLEASE! is is 8,12, and √6 a right triangle or not?
Step-by-step explanation:
it is not right angle triangle.
5a squared−2a+10a−3a squared?
Answer:
2a^2 + 8a
Step-by-step explanation:
[tex]5a^2 - 2a + 10a -3a^2[/tex] [tex](5a^2-3a^2) + (-2a + 10a)[/tex] [tex]2a^2 + 8a[/tex]Have a lovely rest of your day/night, and good luck with your assignments! ♡
How many is 3/5 of 20?
Answer:
3/5 of 20 = 12
Step-by-step explanation:
We can think of 3/5 as ...our 20 is cut in 5 pieces and we take only 3.
But how big are the 5 pieces ?
20 /5 = 4
20
4 4. 4. 4. 4
3/5 = 4. +. 4. +. 4 = 12
6 compañeros realizan un trabajo en un jardin en 4 horas. ¿Cuánto tardarían si lo hiclera
con 3 compañeros?
6 horas ya que si perdemos la mitad de compañeros se aumentaría la mitad de horas y la mitad de 4 es 2 , y 2 más 4 es 6
Help !!!! Asap !!!
There must be fewer than 5 fish in the small aquarium. There are already 3 fish in the aquarium.
What inequality represents the number of additional fish, f, that can be put into the aquarium?
Write the 2 correct symbols in the answer box (separate them with a comma) to complete the inequality. f___ 3___ 5
Hint *
Separate your answers with a comma. For example -, =.
SEE ANSWER
Answer:
f + 3 < 5Step-by-step explanation:
There are 3 fish and you add f, the sum should be less than 5.
This is shown as:
f + 3 < 5can someone help i have been asking for 2 hours
Flipping a point across the y axis, the y coordinate should flip signs (negative if it was positive before, and vice versa). So
reflection across y axis = (-1 5/7, 1).
Similarly, reflecting across the x axis, the sign will also flip. So
reflection across x axis = (1 5/7, -1).
hgggggggggggggggggggg
Seriously dude, c'mon
The scale for a drawing of a barn is 1/2inch = 4 feet. If a pole in the drawing measures 2 1/2 inches, how tall is the actual pole?
Answer:
20 feet
Step-by-step explanation:
1/2" = 4 feet
1" = 8 feet
2" = 16 feet
2 1/2" = 20 feet
Answer:
20 feetStep-by-step explanation:
Use ratios as below:
1/2 in : 2 1/2 in = 4 ft : x ft1/2 : 5/2 = 4 : x1 : 5 = 4 : xx = 4*5x = 20Which equation can be used to find the measure of
angle BAC?
tan-1_5
-X
12
1
= x
O ) =
O tan-( 13 ) =>
O cos-1( 13 ) = x
-1 ( 132 ) = x
12
=
O cos-1
Answer:
our answer will be in quadrant 1 only.
Step-by-step explanation:
From the
cos−1(1) we have the side adjacent to ∠θ=1 and the side hypotenuse=2 . So this is a 30∘−60∘−90∘ triangle and θ=60∘therefore the opposite to ∠θ=√3.
Note that from the restrictions for the range of inverse circular functions cos−1x is restricted to quadrants 1 and 2 and since the argument is positive 12 our answer will be in quadrant 1 only.
The equation that can be used to find the measure of angle BAC is [tex]A = \tan^{-1}(\frac{12}5)[/tex]
To find the measure of angle BAC, we make use of the following tangent ratio
[tex]\tan(A) = \frac{12}5[/tex]
Next, we take the arc tan of both sides
[tex]\tan^{-1}(\tan(A)) = \tan^{-1}(\frac{12}5)[/tex]
So, we have:
[tex]A = \tan^{-1}(\frac{12}5)[/tex]
Hence, the equation that can be used to find the measure of angle BAC is [tex]A = \tan^{-1}(\frac{12}5)[/tex]
Read more about tangent ratios at:
https://brainly.com/question/14169279
If the simple interest on $5,000 for 9 years is $1,800, then what is the interest rate?
The rate is %.
[tex]I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$1800\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &9 \end{cases} \\\\\\ 1800=5000(\frac{r}{100})(9)\implies \cfrac{1800}{5000(9)}=\cfrac{r}{100}\implies \cfrac{1}{25}=\cfrac{r}{100} \\\\\\ 100=25r\implies \cfrac{100}{25}=r\implies \stackrel{\%}{4}=r[/tex]
