One approach to active learning is a "flipped classroom." This commonly involves students watching video lectures outside of class and working on problem solving activities in class. Research has primarily focused on comparing teaching approaches using end-of-class outcomes, such as final grades. In a recent project, researchers compared the lasting benefits of a flipped classroom by comparing grades received in the subsequent course of the series. Here are the results:
Groups n I s
Flipped 166 2.45 1.09
Traditional 129 1.59 1.20
Assume the population variances are equal.
Do the average grades received differ across the two delivery styles of the previous course? Use a=0.01.
Answers
Answer:
Yes, they differ across the two delivery styles of the previous course.
Step-by-step explanation:
So, we are given the following data or information or parameters from the question above;
Flipped(group) => 166(n) 2.45(l) 1.09(s).
Traditional(group) => 129(n) 1.59(l) 1.20(s).
Therefore, the hypothesis is given below as; Jo : b1 = b2, Jx : b1 ≠ b2.
Recall that we are given; 166 = (n1), 2.45 = (l1), 1.09 = (s1) and 129 = (n2) , 1.59 = (l2), 1.20 = (s2).
Therefore, we will be using the following mathematical representation or formula to solve this question;
s = √(s1^2/ n1 + s2^2/n2).
When we slot it the values accordingly and solve for s, we will have a value of;
s = 0.1354.
Thus , for our t*, we can calculate that by using the formula below:
t*= l1 - l2/ s.= (2.45 - 1.59)/ 0.1354= 6.35.
Thus: p value = 2P(V> 6.35) = 2.1 × 10^-10.
Since we are given that a=0.01, thus, p value is less than 0.01 we can reject Jo.
Related Questions
If 125 kg of food is sufficient for 30 soldiers for 6 days, how long will the food last for 45 soldiers?
Answers
Answer:
30 = 6
45 = x
cross multiply
30x = 45*6
30x = 270
divide both sides by
30x/30 = 270/30
X = 9
9-6 = 3 days
mrs wu spent 1/6 of her on a dress and 2 blouses. the dress cost 3 times as much as each blouse. mrs wu spent 3/4 of her remaining money on a watch. she spent $220.50 more on the watch than on the dress.
Answers
Mrs. Wu initially had $1062.40.
Let's break down the given information step by step:
1. Mrs. Wu spent 1/6 of her money on a dress and 2 blouses.
Let's assume Mrs. Wu's total money is represented by the variable M. She spent 1/6 of M on the dress, which means she spent (1/6)M on the dress and the same amount on two blouses.
2. The dress cost 3 times as much as each blouse.
Let's assume the cost of each blouse is represented by the variable B. Therefore, the cost of the dress would be 3B.
3. Mrs. Wu spent 3/4 of her remaining money on a watch.
After spending on the dress and blouses, Mrs. Wu has (M - (1/6)M) = (5/6)M remaining. She spent 3/4 of this remaining money on a watch, which is (3/4) * (5/6)M = (15/24)M.
4. She spent $220.50 more on the watch than on the dress.
The amount spent on the watch is (15/24)M, and the amount spent on the dress is (1/6)M. The difference between these amounts is $220.50.
To find the value of M, we can set up an equation:
(15/24)M - (1/6)M = $220.50
Simplifying the equation:
(15/24 - 1/6)M = $220.50
(5/24)M = $220.50
Multiplying both sides by (24/5):
M = $220.50 * (24/5)
M = $1062.40
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Which of the following is the standard deviation of the random variable x
Answers
Answer: B. 1.414
Step-by-step explanation:
let x be the random variable denotes the number of die.
Numbers on 5-faced die = 1,2,3,4,5
Probability of getting any number = \(\dfrac{1}{5}\)
Mean = \(\bar {x}=\sum p_ix_i\)
\(\\\\\Rightarrow\bar{x}=\dfrac{1}{5}(1)+\dfrac{1}{5}(2)+\dfrac{1}{5}(3)+\dfrac{1}{5}(4)+\dfrac{1}{5}(5)\\\\=\dfrac{1}{5}(1+2+3+4+5)\\\\=\dfrac{1}{5}(15)=3\)
Standard deviation: \(\sigma=\sum \sqrt{\dfrac{(x_i-\bar{x})^2}{N}}\)
\(=\sqrt{\dfrac{(1-3)^2+(2-3)^2+(3-3)^2+(4-3)^2+(5-3)^2}{5}}\\\\=\sqrt{\dfrac{4+1+0+1+4}{5}}\\\\=\sqrt{\dfrac{10}{5}}\\\\=\sqrt{2}\approx1.414\)
Hence, the standard deviation of the random variable x is 1.414.
Thus, the correct option is B.
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Is the product positive or negative? Why?
Answers
The multiplication expression with eight rational factors are ''positive''.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Since, Multiplication of four positive numbers are always gives a positive number and multiplication of four negative numbers are always gives a positive number.
Hence, The multiplication expression with eight rational factors are positive.
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PLEASE HELP!
I need help solving these problems.
Answers
1. When we simplify sec² x + tan² xsec² x, the result obtained is sec⁴x
2. When we simplify (sec² x - 1) / sin² x, the result obtained is sec² x
3. When we simplify (1/sec² x) + (1/csc² x), the result obtained is 1
4. When we simplify (sec x / sin x) - (sin x / cos x), the result obtained is cot x
5. When we simplify (1 + sin x)(1 - sin x), the result obtained is cos² x
6. When we simplify cos x + sin xtan x, the result obtained is sec x
How do i simplify the trig identities?We can simplify the trig identities as follow:
1. Simplification of sec² x + tan² xsec² x
sec² x + tan² xsec² x = sec² x(1 + tan² x)
Recall
sec² x = 1 + tan² x
Thus,
sec² x(1 + tan² x) = sec² x × sec² x
sec² x(1 + tan² x) = sec⁴x
Therefore, the simplified is written as
sec² x + tan² xsec² x = sec⁴x
2. Simplification of (sec² x - 1) / sin² x
(sec² x - 1) / sin² x
Recall,
sec² x - 1 = tan² x
Thus,
(sec² x - 1) / sin² x = tan² x / sin² x
Recall
tan² x = sin² x / cos² x
Thus,
tan² x / sin² x = (sin² x / cos² x) / sin² x
tan² x / sin² x = 1/ cos² x
Recall
1/ cos² x = sec² x
Therefore, the simplified expression is written as:
(sec² x - 1) / sin² x = sec² x
3. Simplification of (1/sec² x) + (1/csc² x)
(1/sec² x) + (1/csc² x)
Recall
sec² x = 1/cos² x
Thus,
cos² x = 1/sec² x
Also,
csc² x = 1/sin² x
Thus,
sin² x = 1/csc² x
Therefore, we have
(1/sec² x) + (1/csc² x) = cos² x + sin² x
Recall
cos² x + sin² x = 1
Thus, the simplified expression of (1/sec² x) + (1/csc² x) is:
(1/sec² x) + (1/csc² x) = 1
4. Simplification of (sec x / sin x) - (sin x / cos x)
(sec x / sin x) - (sin x / cos x) = (sec xcos x - sinx sinx) / sinx cos x
Recall
sec x = 1/cos x
sinx sinx = sin² x
Thus,
(sec x / sin x) - (sin x / cos x) = [(cos x/cos x) - sin² x] / sinx cos x
(sec x / sin x) - (sin x / cos x) = [1 - sin² x] / sinx cos x
Recall
1 - sin² x = cos² x
Thus, we have
[1 - sin² x] / sinx cos x = [cos² x] / sinx cos x
[1 - sin² x] / sinx cos x = cos x / sin x
Recall
cos x / sin x = cot x
Thus, the simplified expression of (sec x / sin x) - (sin x / cos x) is:
(sec x / sin x) - (sin x / cos x) = cot x
5. Simplification of (1 + sin x)(1 - sin x)
(1 + sin x)(1 - sin x)
Clear bracket
1 - sin x + sin x - sin² x
1 - sin² x
Recall
1 - sin² x = cos² x
Thus, we have
(1 + sin x)(1 - sin x) = cos² x
6. Simplification of cos x + sin xtan x
cos x + sin xtan x
Recall
tan x = sin x / cos x
cos x + sin xtan x = cos x + sin x (sin x / cos x)
cos x + sin xtan x = cos x + (sin² x / cos x)
cos x + sin xtan x = (cos² x + sin² x) / cos x
Recall
cos² x + sin² x = 1
cos x + sin xtan x = 1 / cos x
1/cos x = sec x
Thus,
cos x + sin xtan x = sec x
The simplified expression of cos x + sin xtan x is sec x
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A tank contains 5832 litres of water. Each day one-third of the water in the tank is removed and not replaced. How much water remains in the tank at the end of 6 days? [Hint: answer 512 litres] Show me the steps
Answers
Here is your answer.
A tank contains 5832 litres of water.
Total amount of water in tank = 5832 litres.
Each day one-third of the water in the tank is removed and not replaced.
Since one third of the water is removed for six days.
1st day = 1/3rd of 5832 litres is removed
\( = \dfrac{5832}{3} = 1944\)
Amount of water left = 5832 - 1944 = 3888 litres
2nd day = 1/3rd of 3888 litres is removed
\( = \dfrac{3888}{3} = 1296 \)
Amount of water left = 3888 - 1296 = 2592 litres
3rd day = 1/3rd of 2592 litres is removed
\( = \dfrac{2592}{3} = 864 \)
Amount of water left = 2592 - 864 = 1728 litres
4th day = 1/3rd of 1728 litres is removed
\( = \dfrac{1728}{3} = 576 \)
Amount of water left = 1728 - 576 = 1152 litres
5th day = 1/3rrd of 1152 litres is removed
\( = \dfrac{1152}{3} =384 \)
Amount of water left = 1152 - 384 = 768 litres
6th day = 1/3rrd of 768 litres is removed
\( = \dfrac{768}{3} = 256 \)
Amount of water left = 1768 - 256 = 512 litres
So, 512 litres water remains in the tank at the end of 6 days
Which of the following statements is not true?
Choose the incorrect statement below.
The three-part inequality - 1 <-3x ≤ 1 is equivalent to -5x<
15x2
<3 is equivalent to -6≤5-x<6.
The three-part inequality - 3s-
OD. The three-part inequality -7≤11-x<7 is equivalent to 4 < x≤ 18.
OA.
OB.
C.
The three-part inequality -5s-10x<5 is equivalent to
5-x
...
Answers
The incorrect statement is:
B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.
In the given statement, there is an error in the inequality. The correct statement should be:
The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.
When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:
- 5x < 15x^2 and 15x^2 < 3
Simplifying the first inequality:
- 5x < 15x^2
Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:
- 5 < 15x
Simplifying the second inequality:
15x^2 < 3
Dividing by 15, we get:
x^2 < 1/5
Taking the square root (assuming x ≥ 0), we have two cases:
x < 1/√5 and -x < 1/√5
Combining these inequalities, we get:
- 5 < 15x and x < 1/√5 and -x < 1/√5
Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.
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Hosting a dinner party for 38 people, you plan to serve peach pie for desert.
Each pie has 8 slices.
How many slices are in each pie?
Answers
Answer:
40 slices
Step-by-step explanation:
I rounded 38 to 40 and divided by 8
help please and thank you
Answers
Answer:
1) 9x
2) 3b
3) 3m
4) 5a
5) 7x
6) 3a + 5b
7) 9x - 4
8) 2b + m
9) 13a + b + 6c
10) 9b + 1
11) 7p
12) 2a + b -10
Step-by-step explanation:
Evaluate the given expression for x=7.
8x +9
The answer is ---
Answers
Answer:
The answer is 65
Step-by-step explanation:
Evaluate:
8x + 9
When x = 7
Use PEMDAS order of operations:
8x + 9
= 8(7) + 9
= 56 + 9
= 65
Hope this helps
Which statements are true about the ordered pair (−1, 5) and the system of equations?
{x+y=4x−y=−6
Select ALL correct answers.
The ordered pair (−1, 5) is a solution to the first equation because it makes the first equation true.
The ordered pair (−1, 5) is a solution to the second equation because it makes the second equation true.
The ordered pair (−1, 5) is a solution to the system because it makes both equations true.
The ordered pair (−1, 5) is not a solution to the system because it makes at least one of the equations false.
Answers
Answer:
you answer would be A,B,D there all the answer u cant just have one also I just took the test im from k12
Henry went clothes shopping and bought 3 pairs of shorts for $22.99 each, 2
shirts for $32.99 each and one pair of shoes for $54.99. What is the most
reasonable estimate of the total amount he spent on all the clothing?
A. $135
O B. $184
C. $190
D. $223
Answers
Answer:
$190
Step-by-step explanation:
22.99 times 3 = 66.97
32.99 times 2 = 65.98
one pair of shoes is 54.99.
66.97 + 65.98 + 54.99 = 187.94
187.94 is closer to 190
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. You reach in and randomly draw a marble,
replace it, and draw another marble. What is the probability that the first will be red and the second will be blue?
a.) 20%
b.) 80%
c.) 8%
d.) 12%
Answers
Answer:
12
Step-by-step explanation:
(5/25)(15/24)
Find angle 1, if angle 2 = 56 and m LJKL = 145
Answers
Answer: NEED PICTURE TO ANSWER, we dont know if it a square or if its a rectangle, sry
Step-by-step explanation:
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Answers
The probability of landing on purple to the nearest hundredth: 0.15
How to solveThe total number of spins is 84, and the probability of landing on purple is 13/84 = 0.15476.
Rounding to the nearest hundredth, this is 0.15.
Elaborating:
Number of times the spinner landed on purple: 13
Total number of spins: 84
Probability of landing on purple: (13/84) = 0.15476
Probability of landing on purple to the nearest hundredth: 0.15
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The Complete Question
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 18
Blue 15
Green 20
Yellow 18
Purple 13
Based on these results, express the probability that the next spin will land on purple as a decimal to the nearest hundredth.
The probability that a high school senior wins a prestigious scholarship is 0.13. The probability that a high school senior plays a varsity sport is 0.22 . If the probability that someone plays a varsity sport given that they won the scholarship is 0.55 , then what's the probability that someone wins the scholarship given that they play a varsity sport?
Answers
Answer:
0.325
Step-by-step explanation:
Let A represent the event: winning a prestigious scholarship
Let B represent the event: plays a varsity sport
Given
P(A) = 0.13P(B) = 0.22P(plays a varsity sport given that they won the scholarship)= P(B|A) = 0.55We are asked to find P(wins the scholarship given play a varsity sport) = P(A|B)The formula for conditional probability is
\(P(A|B) = \dfrac{P(A \cap B)}{P(B)}\\\\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)}\)where P(A ∩ B) is the probability of both A and B occurring togetherRewriting the above two equations we get
\(P(A \cap B) = P(A|B)P(B) = P(B|A)P(A)\)
→ \(P(A|B)P(B) = P(B|A)P(A)\)
Plugging in known probabilities,
\(P(A|B) (0.22) = P(0.55)(0.13)\)
\(\begin{aligned}P(A|B) & = \dfrac{0.55 \times 0.13}{ 0.22 }\\& = 0.325\end{aligned}\)
Therefore the probability that someone wins the scholarship given that they play a varsity sport is 0.325
There are 20 students in the class. I counted 8 girls. What percent are boys?
Answers
Answer:
60%
Step-by-step explanation:
20-8=12
12÷20=0.6
0.6×100=60%
PLS HELP ASAP‼️‼️ i need pleaseeeeeee
Answers
Answer:
-2x^4 - 6x^3 - 8x^2
Step-by-step explanation:
(9x+5)-(6x-8) please help.
Answers
Answer:
3x-3 i think
Step-by-step explanation:
9x-6x = 3x 5-8 = -3
Randy would like to fill the garden with soils oil is sold at Lowe’s for $0.33 per square foot
Answers
Answer:
If the garden was 1 yard it would be $0.99.
Step-by-step explanation:
1 yard = 3 feet. 3*.33 =.99
help please ill give you brainliest !! and show work please
find the length of SEGMENT BC
Answers
Answer:
BC = 4
Step-by-step explanation:
The diagram shows a circle with radius AE and chord BD.
Assuming that the radius bisects the chord, then AE is perpendicular to BD. So the measure of angle ACB is 90°.
This means that triangle ACB is a right triangle, with legs AC and BC, and hypotenuse AB.
The length of the radius is:
\(AE = 3 + 2 = 5\)
As AB is also the radius, AB = 5.
To find the length of BC, use Pythagoras Theorem:
\(AC^2+BC^2=AB^2\)
\(3^2+BC^2=5^2\)
\(9+BC^2=25\)
\(9+BC^2-9=25-9\)
\(BC^2=16\)
\(\sqrt{BC^2}=\sqrt{16}\)
\(BC=4\)
Therefore, the length of line segment BC is 4.
f(x) = 6^2+12x -7
please answer and explainnnn!
Answers
Answer:
A) \(x=-1\pm\sqrt{\frac{13}{6}}\)
Step-by-step explanation:
\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)
An animal shelter needs to find homes for 40 dogs and 60 cats. If 15% of the dogs are female, and 25% of the cats are female, what percent of the animals are female?
Someone please answer.... I really need this
I will give brainliest. PLEASE HELP!!!
Answers
Answer:
21% of the animals are female
Step-by-step explanation:
In total:
There are 40 + 60 = 100 animals.
Female animals.
40 dogs. Of those, 15% are female. So 0.15*40 = 6.
60 cats. Of those, 25% are female. So 0.25*60 = 15.
21 female animals.
21/100 = 0.21 = 21%
21% of the animals are female
Janice was able to drive 450 miles on 25 gallons of gas. How far can she drive on 60 gallons of gas?
Answers
Answer: 1080 miles
Step-by-step explanation:
450/25 = 18 ( SO that means to drive 18 miles it took 1 gallon of gas )
--> 60*18
Ans ---> 1080 miles
Janice can drive 1080 miles on 60 gallons of gas.
What is unitary method?
'The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.'
According to the given problem,
Janice drove 450 miles on 25 gallons of gas.
Janice drove \(\frac{450}{25}\) miles on 1 gallon of gas
Therefore, Janice can drive \(\frac{450 *60}{25}\) on 60 gallons of gas.
Hence, we can conclude, Janice drove 1080 miles on 60 gallons of gas.
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27,813 students took the ACET this year. If only 2,836 students were admitted into the Ateneo among those students, what is the Ateneo’s acceptance rate? a. 7.5% b. 10.2% c. 13.4% d. 9.0%
Answers
If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.
How the rate is determined:The rate is the ratio of one value, expression, measurement, or quantity compared to another.
The rate represents the quotient of the numerator and the denominator.
The rate is expressed as a percentage by multiplication with 100.
The number of students who took the ACET this year = 27,813
The number of students who were admitted into the Ateneo = 2,836
The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)
= 10.2%
Thus, we can conclude that the acceptance rate or percentage is Option B.
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A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
Answers
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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Complete the square to re-write the quadratic function in vertex form:
y= x2 - 5x +9
Answer: y =
Submit Answer
Answers
What is the area of this rectangle? Rectangle with width 5.1 cm and height 11.2 cm. Responses 16.3 cm2 16.3 cm, 2 32.6 cm2 32.6 cm, 2 57.12 cm2 57.12 cm, 2 571.2 cm2
Answers
The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².
To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.
Area = length × width
Area = 11.2 cm × 5.1 cm
Calculating the product, we get:
Area = 57.12 cm²
Therefore, the area of the rectangle is 57.12 cm².
The correct answer is: 57.12 cm².
It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.
So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².
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Question 11 (07.04 LC) What is the solution to the equation 1 over 8 multiplied by n equals 4 ? (1 point) a n = 2 b n = 4 c n = 12 d n = 32
Answers
Answer:
a (n=2)
Step-by-step explanation:
Answer:
The correct answer is option A, n = 2. Hope this helps!
15. Paula bought a ski jacket on sale for $20
less than half of its original price. She
paid $68 for the jacket. What was the
original price?
Answers
Answer:
Step-by-step explanation:
P/2-20=68, add 20 to each side
P/2=88, multiply each side by 2
P=$176
The original price was $176