Answer:
1. An Experimental
2. Dependent
3. Independent
Step-by-step explanation:
Considering the description of how the research was carried out, it can be concluded that This study is an example of AN EXPERIMENTAL study. This because the researcher is trying to study the effectiveness of a new drug for lowering cholesterol
The difference in cholesterol level is the DEPENDENT variable. This is because the difference in cholesterol level is what the researcher wants to determine.
The treatment with a drug or placebo is the INDEPENDENT variable. This is because this is what the researcher manipulates to determine the difference in cholesterol level which is the dependent variable in this experimental study.
After the first exam in a statistics course, the professor surveyed 14 randomly-selected students to determine the relation between the amount of time they spent studying for the exam and exam score. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is: y=6.3333x+53.0298.
Required:
a. Predict the exam score of a student who studies 2 hours.
b. Interpret the slope.
c. What is the mean score of students who did not study?
d. A student who studies 5 hours for the exam scored 81 on the exam. Is this student's exam score above or below average among all students who studies 5 hours?
Solution :
Given :
Equation :
y = 6.3333 x + 53.0298
Here, x = number of hours studied
y = the exam score
a). To predict the exam score, we have to replace x in the least square regression line by 2 :
y = 6.3333 x + 53.0298
y = 6.3333 (2) + 53.0298
= 65.6964
Thus he predicted exam score is 65.6964
b). The slope is the co-efficient of x in the least squares regression line :
Slope = 6.3333
The slope represents the average increase in y as x increases by 1.
The exam score increases on average by 6.3333 points per hour studied.
c). The mean score of the [tex]\text{ students who did not study}[/tex] (studied 0 hours) is obtained by replacing x in the least squares regression line by 0 :
y = 6.3333 x + 53.0298
y = 6.3333 (0) + 53.0298
= 53.0298
d). To predict the exam score of a student who studied 5 hours, we replace x in the least squares regression line by 2 :
y = 6.3333 x + 53.0298
y = 6.3333 (5) + 53.0298
y = 84.6963
Thus the average exam score of a student who studied 5 hours is 84.6963
Since the actual exam score 81 is less than the average exam score of 84.6963 the student's exam score is below the average.
El primer día de la tormenta de nieve hubo 9,2 centímetros de nieve. Durante el segundo día de la tormenta, cayeron otros 18,2 centímetros. Si la nevada total durante la tormenta de nieve de tres días fue de 39,1 centímetros, ¿cuánta nieve cayó el tercer día?
Answer:
11.7
Step-by-step explanation:
39.1 - 9.2 = 29.9
29.9 - 18.2 = 11.7
[tex]4 \sqrt{(3x}^{3} [/tex]
write in exponential form
Answer:
[tex]4(3x)^{\frac{3}{2} }[/tex]
Step-by-step explanation:
simplify the expression (2r^4y4xy^2) completely
Step-by-step explanation:
we can simplify the stuff inside the parentheses to
[tex] \frac{ {x}^{3} }{2y} [/tex]
now we need to multiply it with itself, giving us
[tex] \frac{ {x}^{6} }{4 {y}^{2} } [/tex]
so yeah, D is the correct answer
Which inequality represents all numbers x on a number line that are farther from −8 than from −4?
Answer:
x - 8>-4-x
Step-by-step explanation:
Looking at x - 8>-4-x
Collect the like terms;
x+x > -4 + 8
2x < 4
x > 4/2
x < 2
Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4
If f (x)
6x – 6 , find f (-1)
Answer:
-12
Step-by-step explanation:
f (x)=6x – 6
Let x= -1
f(-1) = 6(-1) -6
= -6-6
= -12
Please help!!! Urgent ….
9514 1404 393
Answer:
ΔWZT ~ ΔWXY
Step-by-step explanation:
Angle XWY and angle ZWT are vertical angles, so congruent.
The sides on either side of those angles are proportional:
WZ/WX = WT/WY
11/22 = 10/20 = 1/2
so, we can claim similarity by the SAS Theorem.
ΔWZT ~ ΔWXY
Ocuocktxjrxutxjxttuxudutx
Given:
The stem and leaf plot of a data set is given.
Legend:1|0 represents 10.
To find:
The original data set for the given stem and leaf plot.
Solution:
It is given that 1|0 represents 10 in the given stem and leaf plot. Using this, the original data set from the given stem and leaf plot is:
10, 11, 14, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41.
These values are in ascending order.
Therefore, the original set of data is 10, 11, 14, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41.
find the value of tanA when tan(A-45)=1÷3)
Answer:
63.44degrees
Step-by-step explanation:
Given that;
tan(A-45) = 1/3
A-45 = arctan(1/3)
A - 45 = 18.44
A = 18.44+45
A = 63.44degrees
Hence the value of A is 63.44degrees
which will result in a perfect square trimonial
Answer:
No choices listed.
Step-by-step explanation:
Tom works part-time at a theme park. Last week, he worked the following hours. Type the hours Tom worked in hours and minutes into the boxes below. MON: 7 1 4 hours = hours and minutes TUE: 6 3 4 hours = hours and minutes WED: 5 1 5 hours = hours and minutes THU: 6 1 10 hours = hours and minutes
Answer:
7 hours and 15 minutes
6 hours hours and 45 minutes
5 hours and 12 minutes
6 hours and 10 minutes
Step-by-step explanation:
MON: 7 1/4 hours
= 7 hours and 1/4 hours
1/4 hours = 1/4 × 60 minutes
= 60/4 minutes
= 15 minutes
7 1/4 hours = 7 hours and 15 minutes
TUE: 6 3/4 hours
= 6 hours and 3/4 hours
3/4 hours = 3/4 × 60 minutes
= 180/4 minutes
= 45 minutes
6 3/4 = 6 hours hours and 45 minutes
WED: 5 1/5 hours
= 5 hours and 1/5 hours
1/5 hours = 1/5 × 60 minutes
= 60/5 minutes
= 12 minutes
5 1/5 hours = 5 hours and 12 minutes
THU: 6 1/10 hours
= 6 hours and 1/10 hours
1/10 hours = 1/10 × 60 minutes
= 60/10 minutes
= 6 minutes
6 1/10 hours = 6 hours and 10 minutes
Help me solve this please !
Answer:
The answer is D, 14. This is because those bars are asking for absolute value, meaning you simply change any negative to a positive and give its value in general instead of as a negative or positive
The area of a square is64. Cm
What is the length of its side
Answer:
The length is 8 cm. Since its a square, so the length of both its sides are equal.
l^2=64
where l=length of side
square root both sides
then, l=8
Answer:
8cm is the length of its side.
Step-by-step explanation:
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
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Answer:
5/8
Step-by-step explanation:
Since the ratio is common, it can be found from the ratio of any pair of adjacent terms.
r = 480/768 = (5·96)/(8·96) = 5/8
The common ratio is 5/8.
Which points are on the graph of the function rule f(x) = 10 - 4x
Which pair of expressions below are equivalent?
a. 7(2n) and 9
b. 3n + 5n and 15n
c. 4(2n-6) and 8n - 24
d. 7(2n) and 72n
Answer:
The answer is C
Hope this helped!
HELP plsssss I will GIVE YOU BRAINLYEST
Answer: B
Step-by-step explanation:
Answer:
-5ºC < 5ºC is an inequality that compares temperatures.
B is the correct answer for the multiple choice question.
Determine whether the triangles are similar. If so, write a similarity
statement.
Answer:
[tex]\triangle FED\sim \triangle JEH[/tex]
Step-by-step explanation:
Both pairs of vertical angles formed at point E are equal. Therefore, the two triangles share two angles. If two triangles share two angles, they must also share the third angle, since the sum of the interior angles of a triangle add up to 180 degrees. Therefore, all three angles of the two triangles are equal, which is a proof of similarity. [tex]\implies \boxed{\triangle FED\sim \triangle JEH}[/tex]
9514 1404 393
Answer:
ΔDEF ~ ΔHEJ
Step-by-step explanation:
The vertical angles at E are congruent, and the marked angles at F and J are congruent. The two triangles are similar by the AA postulate.
The given portion of the similarity statement names the angles in the order "unspecified", "vertical", and "50°". If we name those angles in the same order in the other triangle, the similarity statement becomes ...
ΔDEF ~ ΔHEJ
A technical machinist is asked to build a cubical steel tank that will hold of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest .
Answer:
The smallest possible length is 0.83m
Step-by-step explanation:
Given
[tex]Volume = 565L[/tex]
Required
The smallest length of the tank
Since the tank is cubical, then the volume is:
[tex]Volume = Length^3[/tex]
This gives:
[tex]565L= Length^3[/tex]
Express as [tex]m^3[/tex]
[tex]\frac{565m^3}{1000} = Length^3[/tex]
[tex]0.565m^3 = Length^3[/tex]
Take cube roots of both sides
[tex]0.8267m = Length[/tex]
Rewrite as:
[tex]Length = 0.8267m[/tex]
Approximate
[tex]Length = 0.83m[/tex]
HELPPPPOOOPPPPOPPPPPPPP
Answer:
Your answer would be B
Step-by-step explanation:
So right away you can get rid of a and d since they are positive numbers, there is no positive numbers in the graph were the line is.
So we know that the y-intercept is -2 (as you can see the line pass through (0,-2))
And we know the y intercept is -8 (since the line pass through (-8,0))
so you are left with b and c, c is incorrect because the -2 goes through the y-intercept not the x.
The right choice is b, it states that the x-intercept -8 pass through the line, the y-intercept is -2
Your welcome and hoped this helped!
Integers help me with this question
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Answer:
5196 m
Step-by-step explanation:
The difference in elevation is found by subtracting one elevation from the other. Usually, we're interested in the positive difference, so we subtract the smaller number from the larger.
5040 -(-156) = 5040 +156 = 5196
The difference in elevation is 5196 meters.
HELP ASAP 35 POINTS
Answer:
Given function:
y = -x² + 6Fill in the table by substituting the value of x:
x = 0 ⇒ y = - 0² + 6 = 6x = 1 ⇒ y = - 1² + 6 = 5x = -1 ⇒ y = -(-1)² + 6 = 5x = 2 ⇒ y = -2² + 6 = 2x = -2 ⇒ y = -(-2)² + 6 = 2The graph is attached
Which of the following are true of linear functions? Select all that apply.
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function can cross the y-axis in two places.
A linear function has a constant rate of change.
A linear function must cross the x-axis.
Answer:
"there is exactly one output for each input" is cotrrect
"the graph of a linear function" is correct
Step-by-step explanation:
use the following picture to classify the following statements as true or false
A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold for $3. A two-pack of disinfectant wipes each with the same dimensions is sold for $5. What is the difference in price per cubic inch?
a. $0.01
b. $0.02
c. $0.00
d. $0.09
Answer:
b. $0.02[tex]/in^3[/tex]
Step-by-step explanation:
Given
[tex]r =1in[/tex]
[tex]h = 10in[/tex]
[tex]Cost_{1pk} =\$3[/tex]
[tex]Cost_{2pk} =\$5[/tex]
Required
The difference in the price per [tex]in^3[/tex]
First, calculate the volume (V) of the cylinder
[tex]V = \pi r^2h[/tex]
[tex]V = 3.14 *1^2 * 10[/tex]
[tex]V = 31.4[/tex]
The unit cost of 1 pack is:
[tex]Unit_{1pk} = \frac{Cost_{1pk}}{V}[/tex]
[tex]Unit_{1pk} = \frac{\$3}{31.4in^3}[/tex]
The unit cost of 2 packs is:
[tex]Unit_{2pk} = \frac{Cost_{2pk}}{2*V}[/tex]
[tex]Unit_{2pk} = \frac{\$5}{2*31.4}[/tex]
[tex]Unit_{2pk} = \frac{\$5}{62.8in^3}[/tex]
The difference (d) is:
[tex]d = |Unit_{2pk} - Unit_{2pk}|[/tex]
[tex]d = \frac{\$3}{31.4in^3} - \frac{\$5}{62.8in^3}[/tex]
Take LCM
[tex]d = \frac{\$6 - \$5}{62.8in^3}[/tex]
[tex]d = \frac{\$1}{62.8in^3}[/tex]
[tex]d = \$0.0159/in^3[/tex]
Approximate
[tex]d = \$0.02/in^3[/tex]
Answer:
b)
Step-by-step explanation:
had it on my quiz also give other dude brainliest.
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3
O y + 2 =1/3(x + 3)
O y-2=1/3(x-3)
O y + 3 = 1/3(x+ 2)
O y-3= 1/3(x-2)
Answer:
y - 2 = 1/3(x - 3)
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Plug in the slope:
y - y1 = m(x - x1)
y - y1 = 1/3(x - x1)
Plug in the given point:
y - y1 = 1/3(x - x1)
y - 2 = 1/3(x - 3)
So, the correct answer is y - 2 = 1/3(x - 3)
Which of the following ordered pairs is a solution to the equation 4x+6y=12? Select all that apply. Select all that apply: (−3,4) (1,3) (−6,6) (−13,10) (0,2)
What’s the value of X????
Write the equation and show work please
Answer:
y=-3x-5
Step-by-step explanation:
(-1, -2) (0, -5)
use slope formula
ΔY = (-5 – -2) = -3
ΔX = (0 – -1) = 1
m = -3
y=mx+b
-5 = -3(0)+b
b = -5
y=-3x-5
Simplify Expressions. Which expression is
equivalent to 5x - 2 + 2x - 6
7X-8
3X-8
7x - 4
3X - 4
Answer:
7x - 8
Step-by-step explanation:
Hope this helps!
