Answer:
5 unitsquare
Step-by-step explanation:
rectangle
Area: (2-1)*(5-0)=5
Grades on a standardized test are known to have a mean of 1000 for students in the United States. The test is administered to 453 randomly selected students in Florida; in this sample, the mean is 1013 and the standard deviation (5) is 108.
a. Construct a 95 % confidence interval for the average test score for Florida students.
b. Is there statistically significant evidence that Florida students perform differently than other students in the United States?
c. Another 503 students are selected at random from Florida. They are given a 3-hour preparation course before the test is administered. Their average test score is 1019 with a standard deviation of 95.
i. Construct a 95% confidence interval for the change in average test score associated with the prep course.
ii. Is there statistically significant evidence that the prep course helped?
d. The original 453 students are given the prep course and then are asked to take the test a second time. The average change in their test scores is 9 points, and the standard deviation of the change is 60 points.
i. Construct a 95% confidence interval for the change in average test scores.
ii. Is there statistically significant evidence that students will perform better on their second attempt after taking the prep course?
iii. Students may have performed better in their second attempt because of the prep course or because they gained test- taking experience in their first attempt. Describe an experiment that would quantify these two effects.
Answer:
a. The 95% confidence interval is 1,022.94559 < μ < 1,003.0544
b. There is significant evidence that Florida students perform differently (higher mean) differently than other students in the United States
c. i. The 95% confidence interval for the change in average test score is; -18.955390 < μ₁ - μ₂ < 6.955390
ii. There are no statistical significant evidence that the prep course helped
d. i. The 95% confidence interval for the change in average test scores is 3.47467 < μ₁ - μ₂ < 14.52533
ii. There is statistically significant evidence that students will perform better on their second attempt after the prep course
iii. An experiment that would quantify the two effects is comparing the result of the confidence interval C.I. of the difference of the means when the student had a prep course and when the students had test taking experience
Step-by-step explanation:
The mean of the standardized test = 1,000
The number of students test to which the test is administered = 453 students
The mean score of the sample of students, [tex]\bar{x}[/tex] = 1013
The standard deviation of the sample, s = 108
a. The 95% confidence interval is given as follows;
[tex]CI=\bar{x}\pm z\dfrac{s}{\sqrt{n}}[/tex]
At 95% confidence level, z = 1.96, therefore, we have;
[tex]CI=1013\pm 1.96 \times \dfrac{108}{\sqrt{453}}[/tex]
Therefore, we have;
1,022.94559 < μ < 1,003.0544
b. From the 95% confidence interval of the mean, there is significant evidence that Florida students perform differently (higher mean) differently than other students in the United States
c. The parameters of the students taking the test are;
The number of students, n = 503
The number of hours preparation the students are given, t = 3 hours
The average test score of the student, [tex]\bar{x}[/tex] = 1019
The number of test scores of the student, s = 95
At 95% confidence level, z = 1.96, therefore, we have;
The confidence interval, C.I., for the difference in mean is given as follows;
[tex]C.I. = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm z_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}[/tex]
Therefore, we have;
[tex]C.I. = \left (1013- 1019 \right )\pm 1.96 \times \sqrt{\dfrac{108^{2}}{453}+\dfrac{95^{2}}{503}}[/tex]
Which gives;
-18.955390 < μ₁ - μ₂ < 6.955390
ii. Given that one of the limit is negative while the other is positive, there are no statistical significant evidence that the prep course helped
d. The given parameters are;
The number of students taking the test = The original 453 students
The average change in the test scores, [tex]\bar{x}_{1}- \bar{x}_{2}[/tex] = 9 points
The standard deviation of the change, Δs = 60 points
Therefore, we have;
C.I. = [tex]\bar{x}_{1}- \bar{x}_{2}[/tex] + 1.96 × Δs/√n
∴ C.I. = 9 ± 1.96 × 60/√(453)
i. The 95% confidence interval, C.I. = 3.47467 < μ₁ - μ₂ < 14.52533
ii. Given that both values, the minimum and the maximum limit are positive, therefore, there is no zero (0) within the confidence interval of the difference in of the means of the results therefore, there is statistically significant evidence that students will perform better on their second attempt after the prep course
iii. An experiment that would quantify the two effects is comparing the result of the confidence interval C.I. of the difference of the means when the student had a prep course and when the students had test taking experience
(x-2y=-5) (2x + 4y =14) what is the value of y
look for a percentage and if it's growth or decay
[tex]y = 600(0.71) \frac{x}{8} [/tex]
Work out length y
I need help
Answer:
y=31.04668635
Rounded to 1dp would be 31.0
So Y=31.0cm
Step-by-step explanation:
Hypotenuse : Opposite the right angle.
Opposite : Opposite the angle.
Adjacent : the only side left.
Soh Cah Toa (trigonometry formula)
You don't need hypotenuse, so that's irrelevant.
You have opposite and adjacent, O and A, which is tan.
You need to rearrange the formula.
Length ×Tan(Angle) =Opposite.
37×Tan(40)=31.04668635cm
The density of the American white oak tree is 752 kilograms per cubic meter. If the trunk of an American white oak tree has a circumference of 4.5 meters and the height of the trunk is 8 meters, what is the approximate number of kilograms of the trunk.
Find the area of the polygon
Group of answer choices
17 square units
29 square units
19 square units
210 square units
Answer: 17 square units
Step-by-step explanation:
There are two rectangles
One has the dimensions
5 by 3, A = 5 * 3 = 15
The other has the dimensions 3-2 or 1 by 7-5 or 2, A = 1 * 2 = 2
Add the areas:
15 + 2 = 17
The entire area is 17 square units
Could anyone explain this question in detail?
Answer:
h and k are simply variables that stand in for the x and y of a point. Math books could have easily have used x1, x2 y1 y2, etc, but h and k is the convention.
anyway, this is a guess n check question. Substitute the x value of the point for h, and y value for k, and whichever one gives you a true equation is the right one.
Answer:
Step-by-step explanation:
y = a(x-h)²+k is the “vertex-form equation” for a vertical parabola with vertex (h,k).
Since a>0, the parabola opens upwards. (If a<0, it opens downwards. If a=0, it is not a parabola at all.)
The parabola y = a(x-h)²+2k is the same shape as the first equation, but it is shifted vertically by k units.
Since (2,4) is a point on the first parabola, (2,4+k) is a point on the second parabola.
Solve and check the following linear equation. 8x-(6x-7)=21
Answer:
x=7?
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
8x-(6x-7)=21
8x-6x+7=21
2x+7=21
2x=21-7
2x=14
x=14/2
x=7
8*7-(6*7-7)
56-(42-7)
56-35
21
how is 1/2 and 4/8 equivalent
Answer:
they are both half
Step-by-step explanation:
1 is half of 2 And 4 is half of 8
Bailey has saved 54% of the money he needs to buy a new
skateboard that costs $172.00. How much more money
does he need to buy the skateboard?
Answer:
$79.12
Step-by-step explanation:
0.54 x 172 = 92.88
172 - 92.88 = 79.12
He needs $79.12 more.
Bailey has saved 54% of the money he needs to buy a new
skateboard he needs $79.12 more.
We have given that,
Bailey has saved 54% of the money he needs to buy a new
a skateboard that costs $172.00.
We have to determine how much more money he needs to buy the skateboard.
What is the savings?
Saving is income not spent or deferred consumption. Methods of saving include putting money aside in, for example, a deposit account, a pension account, an investment fund, or cash. Saving also involves reducing expenditures, such as recurring costs.
0.54 x 172 = 92.88
172 - 92.88 = 79.12
He needs $79.12 more
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Barry has $55. He used 2/5 of his money to buy a new pair of running shoes. How much did Barry spend on his new shoes?
(Please hurry this is a test!)
Answer:
22, also nice woomy pfp!!!!
help due today find the surface area
Answer:
The total surface area is 178.08
Answer:
The surface area of this figure is 178.08yd²
Mr. Britt is pouring a 36' x 58' concrete pad for a metal building. If concrete costs
$123.00 per cubic yard, what will be the cost of the concrete to pour the pad 8 inches
thick? A cubic yard of concrete = 27 cubic feet and Cu.Ft. = T'x W' x L' (Round up
to the nearest cubic yard when calculating concrete needed.)
a. $5,047.00
b. $6,396.00
c. $6,564.00
d. $7,329.00
Answer:
Step-by-step explanation:
8 in × (1 ft)/(12 in) = ⅔ ft
36 ft × 58 ft × ⅔ ft = 1392 ft³
1392 ft³ × (1 yd³)/(27 ft³) ≅ 52 yd³
52 yd³ × $123/yd³ = $6396
-6x+5y=1 and 6x+4y=10.simplify
Answer:
1.)[tex]x=-\frac{1}{6} +\frac{5y}{6}[/tex]
2.)[tex]x=\frac{5}{3} -\frac{2y}{3}[/tex]
Find the ratio created when BA is partitioned by C.
Write your ratio with a, : and do not include spaces.
Answer:
[tex]AC:CB = 3:2[/tex]
Step-by-step explanation:
Given
The attached
Required
Find the ratio when partitioned by C
When BA is partitioned, the segments are: AC and CB
From the attachment:
[tex]AC = 3[/tex]
[tex]CB = 2[/tex]
So, the ratio is:
[tex]Ratio = AC : CB[/tex]
[tex]AC:CB = 3:2[/tex]
List of numbers multiplied together to get 114
Hello. Can y’all help me on this please :)
I would probably give brainliest ?
Answer:
step 1 is wrong
subtract 15 from both sides
x=46
neither tom nor jerry
Answer:
both answers are wrong, substract 15 from both sides, 46, neither tom nor jerry
Step-by-step explanation:
1. 12 ÷ 4 = 3
2. -2.5=25
x=-10
3. 123-77=46
4. neither one of them because 41+12≠29 and 52-14≠66
A math textbook has 6 pages of instruction for every 2 pages of practice problems. How many pages of instruction does it have for every page of practice problems
Answer:
The answer is 3
Step-by-step explanation:
Here's my explanation. So all you have to do is divide 6 by 2 and we ALL KNOW FOR AFACT what 6/2 right? And its 3 so there ya go!!!
Match each fraction, decimal, or percent with an equivalent fraction, decimal, or percent
It's more different than other people, for some people 1/2 equal 7.5. but mine shows 1/2 = 50% or 2/ 25 or 72% or 0.34? so I know mine doesn't add up, and this is on docs.
Answer: 2/25 as a percent is 8% and as a decimal is 0.08 and what is your question I don't really understand?
Step-by-step explanation:
You start baby sitting at 5:30 pm. You babysit for 2 hours. What
time will you be done babysitting?
Answer:
7:30
Step-by-step explanation:
5:30 + 2:00 = 7:30
Answer:
7:30 p.m.
Step-by-step explanation:
you start babysitting at 5:30 you babysit for 2 hours 5 + 2 equals 7 . 7+.30 equals 7:30 p.m.
Complete the statement about statistical studies.
Asking a group to respond to one or more questions is an example of
v. which is a type of
Reset
an experiment
a survey
a repeated measures design
Answer:
a survey
observational study
Please give me Brainliest, I really need it.
A Survey is the gathering of information. Asking a group to respond to one or more questions is an example of a survey which is a type of observational study.
What is a survey?A survey is a collection of question asked to a random group of people who represent the entire population, the responses of the group is assumed to be valid for the entire population.
The blank spaces in the statement can be filled as shown below.
Asking a group to respond to one or more questions is an example of a survey which is a type of observational study.
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HELP PLEASE ILL GIVE 10 POINTS
Answer:
The answer would be 150 degrees.
Step-by-step explanation:
When looking at the problem you can see that you have two parallel lines and a transversal. Since the two lines are parallel, this allows alternate interior angles to form, i.e. <A and <B.
Since angle A and B are alternate interior angles, you can now set the two equal to each other.
So, in order to find out what x equals, you have to set the two equations equal to each other.
8x-10=3x+90
Next, solve the new equation.
8x-10=3x+90
Add 10 to both sides.
8x=3x+100
Subtract 3x from both sides.
5x=100
Divide both sides by 5 and you'll get your answer.
x=20
Now that you know what x equals, you can substitute it into the equation for B.
<B= 3(20)+90
60+90= 150
<B=150 degrees
That gives you your answer of <B = 150 degrees.
To check your work you can also substitute x into the equation for <A.
<A= 8(20)-10
160-10= 150
<A=150 degrees.
Therefore, you have just proved that the answer is 150 degrees.
In the figure below, lines A and B are parallel. Find the m∠5 if m∠1 = 75° and m∠3 = 40°
Answer:
Angle 5 is 75 degrees
Step-by-step explanation:
angle 1 is congruent to angle 5
so angle 5 is also 75 degrees.
The measure of angle 2 and 5 are 65° and 85° respectively.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Given that, lines A and B are parallel.
Here, m∠1 = 75° and m∠3 = 40°
Now, x+m∠2+m∠3=180°
x=m∠1 (Vertically opposite angles)
x=75°
75°+m∠2+40°=180°
m∠2+115°=180°
m∠2=65°
m∠2=m∠4=65° (Interior alternate angles are equal)
Now, m∠4+m∠3+m∠5=180°
65°+40°+m∠5=180°
m∠5=85°
Therefore, the measure of angle 2 and 5 are 65° and 85° respectively.
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ill mark brainlist plss help
Answer:
Quadrilateral
Step-by-step explanation:
Quadrilateral is a four sided figure like the US flag.
Answer:
quadrilateral
Step-by-step explanation:
Andy drove 39 miles on Monday morning. This was 3/4 of the total number of miles he drove on Monday. Solve the equation 3/4m=39 to find the total number of miles Andy drove on Monday.
Answer:
thz for my points back lol.///.//
Step-by-step explanation:
change 2y-3+18 to the distributive property
URGENT HELP PLEASE!!!!!!
okay so for some reason my mind went completely blank and forgot how to do pathagoream theorem. so like could you tell me the steps please
Answer:
12
Step-by-step explanation:
Pythag Theorem is Leg² + Leg²= Hypotenuse²
So I set it up as: x² + 9²=15²
Then solved and got: x² + 81 =225
Then I subtracted 81 on both sides and got: x² = 144
Then squareroot each side to undo the x² and got x=12
I NEED HELP NOW PLZ!!
Answer:
D last one
Step-by-step explanation:
que es mayor? -6, +5, +1, -2, 0, -8, +7, -4