Answers
Related Questions
Researchers at a medical school conducted a study to test the effectiveness of a new drug for lowering cholesterol. The 52 subjects who volunteered for the study were each given a randomly generated number. Subjects with an odd number were given the new drug, while those with an even number were given a placebo. Cholesterol levels before and after the treatment were measured for each subject, and the differences were computed.
This study is an example of ______________ study. The difference in cholesterol level is _____________ the variable. The treatment with drug or placebo is the ____________ variable.
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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.
What is the first term in the sequence for which d = -2 and a7 = 3?
A. -6
B. 12
C. 15
D. -12
Answers
Answer:
First term is 15
Step-by-step explanation:
Given data:
[tex]a_{7} =3\\d=-2[/tex]
Now,
[tex]a+6d=3.....(1)\\a_{n} =a+(n-1)d\\\\\\From equation (1)\\a+6(-2)=3\\a-12=3\\a=12+3\\a=15[/tex]
Therefore first term a =15
Correct option is (c)
Write the equation of the line that passes through the points (-7,8) and (-1,-5).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answers
Answer:
y + 7 = -13/6(x-8)
and
y + 1 = -13/6(x+5)
Step-by-step explanation:
1. Find the slope using [tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex].
-5-8/-1+7 = -13/6
2. Plug the slope into the point-slope form, [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex].
y - y1 = -13/6(x-x1)
3. Plug in one of the points to get the answer.
y + 7 = -13/6(x-8)
y + 1 = -13/6(x+5)
One side of a triangle is 3 times longer than the shortest side and the third side is 4 centimeters longer than the shortest side. The perimeter of the triangle is 64.
How long is the shortest side of the triangle?
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Answer:
First side is: 12cm
Second side is: 36cm
Third side is: 16cm
Step-by-step explanation:
Let x represent the shorter side
Then 3x represents the second side, and
x + 4 represents the third side.
Perimeter of three sides:
P = x + 3x + (x + 4)
Perimeter is 64, so
64 = x + 3x + (x + 4)
64 = 5x + 4
60 = 5x
12 = x
First side is x: 12cm
Second side is 3x: 3(12) = 36cm
Third side is x + 4: 12 + 4 = 16cm
Solve for b. b= V [?] 12 5 b Pythagorean Theorem: a2 + b2 = c2 Enter
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[tex]\huge\bold{Given:}[/tex]
Length of the perpendicular "[tex]a[/tex]" = 5.
Length of the hypotenuse "[tex]c[/tex]" = 12.
[tex]\huge\bold{To\:find:}[/tex]
The length of the missing side ''[tex]b[/tex]".
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
The length of the missing side (base) "[tex]b[/tex]" is [tex]\boxed{√119}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ \\⇢ {a}^{2} + {b}^{2} = {c}^{2} \\\\ ⇢ {5}^{2} + {b}^{2} = {12}^{2} \\ \\⇢25 + {b}^{2} = 144 \\ \\⇢ {b}^{2} = 144 - 25 \\ \\⇢ {b}^{2} = 119 \\ \\⇢b = \sqrt{119} [/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:side\:"b"\:is\:√119.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex] {5}^{2} + { \sqrt{119} }^{2} = {12}^{2} \\\\ ⇝25 + 119 = 144 \\ \\⇝144 = 144 \\ \\⇝L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
What is the mode of the data set shown below?
{2, 4, 5, 6, 8, 2, 5, 6}
A. 2
B. 5
C. 6
D. 2, 5, and 6
Answers
Answer:
D
Step-by-step explanation:
The mode is the value that appears most often in the number set for this set the most common numbers are 2, 5, and 6.
Answer:
d
Step-by-step explanation:
all show up 2 times
30 POINTS NO CAP PUT REALL STUFF
If it takes Laine 3 hours to wash the windows of one house, Leslie 4 hours to wash the same windows, and Lance 5 hours to wash the same windows, how long would it take them all working together to wash the windows on THREE houses?
3.8 hours
2.6 hours
5 hours
0.08 hours
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Answer:
The answer would be C. 5 Hours
Step-by-step explanation:
Hopes this helps and good luck :)
Round off 72.8 to the nearest 2 significant figures?
Answers
Answer:
73
Step-by-step explanation:
I don't think this needs an explanation
Answer:
73
Step-by-step explanation:
72.8
8 is greater than or equal to 5, so we round up.
72.8 ≈ 73
Hope this helps.
Solve for the value of v
Answers
Answer:
v = 9 because it is what would make a great answer
Step-by-step explanation:
the angles are supplementary, meaning it sums up to 180 degrees
so to find v, you have to find the total angle of v.
180- 105 equals 8v+3, or 75 equals 8v+3
subtract 75 with 3 leaving 72 equals 8v
v would equal 9
What to numbers multiply to -38 and add to 17
Answers
Answer:
-2 and 19
Step-by-step explanation:
Answer:
19 and -2
Step-by-step explanation:
19 * -2 = -38
19 + -2 = 17
Hope this helps
Graph the line.
y=3x
Answers
Answer:
desmos(dot)com/calculator/gv8jsoui4w
Step-by-step explanation:
Create a table of appropriate x values e.g. x = 2 and substitute into y=3x which will be y=3*2 meaning y=6 at the point x=2. Repeat with different x values until you have enough points to draw a straight line.
The height of a triangle is 8 m more than twice the length of the base . The area of the triangle is 21 m^2 find the height of the triangle
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Answer:12
Step-by-step explanation:cumquat
What is the image point of (1,-7) after the transformation T-3,-1 degrees R180 degrees?
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Answer:
first hust rotate 180 and next reflect it over x axis.
the given point (-7,3) id in second quadrant but after rotation it will be in fourth quadrant.
afterwards you have to refect that point over x-axis which gives you the image of the points on first quadrant ie. (7,1).
Can any one help?
Solve the following equations:
Answers
Answer:
2- x=16/3 or 5.3
4- x=8
Step-by-step explanation:
yeah
Estimate: 4/5 - 1/2
Answer:
Need help ASAP..
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Answer:
3/10
Step-by-step explanation:
Find the LCM of 5 and 2.
LCM = 10
[tex]\frac{4}{5} - \frac{1}{2} = \frac{8 - 5}{10} = \frac{3}{10}[/tex]
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
5 = 5 × 1
2 = 2 × 1
LCM = 2 × 5
10
[tex]\frac{2(4)}{2(5)} -\frac{5(1)}{5(2)}[/tex]
[tex]\frac{8}{10} -\frac{5}{10}[/tex]
[tex]\frac{3}{10}[/tex]
Select the correct answer. How does the risk of needing insurance impact the cost of premlums? А. In some cases, higher risk results in lower costs. B. Higher risk always results in lower costs.
C. Higher risk always results in higher costs.
D In some cases, higher risk results in higher costs.
Answers
Answer:
A
Step-by-step explanation:
In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 80° more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle. what is the measure of the first angle?
Answers
Answer:
The measure of the first angle is 50°.
Step-by-step explanation:
Let the three angles be a, b, and c.
The measure of the first angle is twice the measure of the second angle. In other words:
[tex]a=2b[/tex]
The measure of the third angle is 80° more than the measure of the second angle. In other words:
[tex]c=b+80[/tex]
And since the interior angles of a triangle must equal 180°:
[tex]a+b+c=180[/tex]
Substitute a and c:
[tex](2b)+b+(b+80)=180[/tex]
Combine like terms:
[tex]4b+80=180[/tex]
Subtract 80 from both sides:
[tex]4b=100[/tex]
And divide both sides by four:
[tex]b=25^\circ[/tex]
So, the measure of the second angle is 25°.
Since the measure of the first is twice the second, the measure of the first angle is 50°.
(And since the measure of the third is 80° than the second, the measure of the third angle is 105°.)
Can someone please help me?
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Answer:
A
Step-by-step explanation:
to find the inverse, there are two steps
1-interchange x and y
2-solve for y
so y=x+1/x
interchange to get x=y+1/y
and solving for y we multiply both sides by y to get xy=y+1
subtract both sides by y yielding xy-y=1
factor out y to get y(x-1)=1
then divide to get y=1/x-1
simplify 6to the power of-3 over 6 to the power of5
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1/1679616 or 5.9537418 times 10 to the power of -7
Which is the decimal expansion of the following 1/5
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Answer:
Decimal expansion of 1/5 = 0.2
Please help me with my math question?
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Answer:
150 mL
Step-by-step explanation:
270 - 120 = 150
Hope this helps!
Solve the quadratic equation numerically (using tables of x- and y- values).
x2 + 7x+ 12 = 0
x= -1 or x = -1
x= -3 or x = -3
x = -4 or x = -3
x = 2 or x = -1
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Answer:
x2 + 7x + 12 = 0
Step-by-step explanation:
(x + 4) (x + 3)
x + 4 = 0 or x + 3 = 0
x = - 4 or x = - 3
For Part A, my answer was 435 since I multiplied 5 x 87 = 435.
For Part B, my answer was 540 since I multiplied 22.5 x 24 = 540.
Both of my answers were incorrect. How should I approach this problem?
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Answer:
a. 36.25 ft
b. 45 ft
Step-by-step explanation:
GIVE YOUR ANSWER IN FEET !!! as the problem statement says.
not in inches. when you use the scale factor with inches, you get inches as result. then you need to convert them to feet.
how many inches in 1 ft ?
12 !
so, you need to divide your results by 12 to get the feet.
Is my answer correct?
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9514 1404 393
Answer:
yes
Step-by-step explanation:
By the "rule of 72", the amount will be doubled in 72/I years, where I is the annual interest rate in percent. That is, it can be estimated to take 72/4 = 18 years to double the $240 investment to $480. It would take another 18 years to double it again to $960. So, to achieve a balance of $1500 will be expected to take more than 36 years. The only reasonable answer choice is the one you have selected.
__
The exact solution is ...
log (1500/240)/log(1 +0.04) ≈ 46.72 years ≈ 47 years.
4 times 1
8 over 9 equal
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Step-by-step explanation:
4*1 = 4
this indicates multiplication
8/9 = 0.88888888888 which when simplified would go back to 8/9 or .889
8 "over" 9 indicates division!
A box in the shape of a rectangular prism has the length of 3 5/8 inches, a width of 2 1/2 inches and a height of 4 inches. What is the volume of the box?
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Answer:
36 1/4 in^3 : 36.25 in ^3
Step-by-step explanation:
Turn all fractions into decimal form:
3 5/8 in = 3.625
2 1/2 = 2.5
4 = 4
Volume formula = lwh
l = 3.625 in
w = 2.5 in
h = 4 in
V = 3.625 * 2.5 * 4
V = 9.0625 * 4
V = 36.25
Someone please help me?
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4 1/2 inches is 4 inches and 1.27 cm.
An object dropped from a height of 500 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t)=500−16t^2. Express t as a function of height h, and find the time to reach a height of 100 feet
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Step-by-step explanation:
the answer is in the above image
(6a + 6) + (3x - 2) + (2a + 4)
Answers
Answer:
8a+8+3x
Step-by-step explanation:
Just plus them! Nothing so harsh
Answer:
6a + 6 + 3x-2 + 2a +4=
= 6a +2a+3x+6-2+4=
= 8a+3x+8
Step-by-step explanation:
1. remove the () since the actions within them cannot be solved.
2.find the sum
A researcher collects demographic data on the marital status of the study subjects. The variable is measured as the number of years married on a scale of 0-75. What would be the most appropriate measure of central tendency
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Answer:
Probably "Median"
The mode doesn't really make sense,
and "mean" would probably be skewed by people who get divorced quickly
I would suggest "Median" the number of years that 1/2 of the couples are above and 1/2 below
Step-by-step explanation:
