Answer:
C. double-blindStep-by-step explanation:
A double-blind study is a study where neither participants nor experimenters know which subjects are receiving the treatment.
This method is really useful to minimize possible biased conclusions about the experiment.
Therefore, the right answer is C, the situation described refers to a double-blind study.
A double-blind study is an experimental design in which both the subjects and experimenters are unaware of the treatment or control group assignments, thereby reducing bias and increasing the reliability of the study's findings.Therefore, the correct answer is option C.
An experiment where neither the subjects nor the experimenters know which subjects are in the treatment or control group is best described as a double-blind study.
This type of research design is crucial to prevent biases from affecting the outcome of clinical trials or other medical studies. In a double-blind study, both the participants and researchers are 'blind' to the assignments, thereby reducing the risk of placebo effects or experimenter bias influencing the results.
Experiments in the field of medicine often use this design to test the efficacy of new drugs, treatments, or interventions in the most unbiased way possible.
A control group that receives a placebo is essential in these experiments to compare the actual efficacy of the experimental treatment against no treatment or a standard treatment.
Find the area of a 120° sector of a circle whose radius is 6.
4 sq. units
12 sq. units
24 sq. units
ANSWER
[tex] 12\pi[/tex]
EXPLANATION
The area of sector is calculated using
[tex] \frac{angle\:of \: sector }{360 \degree} \times \pi \: {r}^{2} [/tex]
The angle of the sector is 120° and the radius of the circle is 6 units.
We substitute the given values into the formula to obtain:
[tex] \frac{120 \degree}{360} \times \pi \times {6}^{2} [/tex]
[tex] = \frac{120 \degree}{360} \times \pi \times 36[/tex]
[tex]= \frac{120 \degree}{10} \times \pi = 12\pi[/tex]
Hence the area of the sector is [tex] 12\pi[/tex]
which answer is a soultion to the equation lk+9l=4
Answer:
k=-5 or k= -13
Step-by-step explanation:
lk+9l=4
k+9=4 or k+9=-4
k=-5 or k= -13
The solutions for the equation |k+9| = 4 are k = -5 and k = -13. We got these results by considering separately the positive and negative cases for the absolute value.
Explanation:To find the solution to the equation |k+9| = 4, we need to think about what the absolute value operation represents. Absolute value takes the positive version of whatever is inside, no matter if it's positive or negative. So we actually need to consider two separate cases.
Case 1: k+9 = 4. Solving for k, we get k = 4 - 9 = -5.Case 2: -(k+9) = 4. Here, we first need to dissolve the negative sign by multiplying both sides by -1, which gives k + 9 = -4. Solving for k, we get k = -4 - 9 = -13.So the solutions to the equation are k = -5 and k = -13.
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Here is the histogram of a data distribution. All class widths are 1
2
3
4
5
6
7
8
9
10
What is the median of the distribution?
Answer:
6
Step-by-step explanation:
If it’s the green block from 2-6 with 6 being the tallest then it’s 6 a p e x
The median of the histogram of the data distribution where all class widths are 1 is is 6
How to determine the median?From the complete question, we have the following highlights:
The histogram has a bell shapeThe class width is 1When a histogram is bell shaped, the median of the histogram is at the highest bar in the histogram
The highest bar in the histogram has a class of 6
Hence, the median of the histogram is 6
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Question 4
Line c has a slope of 3/4. Line d is perpendicular to c and line d has a slope of --1. True or False
True
False
O
Answer:
False
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]
Given a line with m = [tex]\frac{3}{4}[/tex]
Then the slope of the line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{\frac{3}{4} }[/tex] = - [tex]\frac{4}{3}[/tex]
How many four digit even numbers can be formed from digits 1,2,3,4,5 if repetition is allowed.
how can solve this using permutation formula
Answer:
Step-by-step explanation:
5*5*5*2
The number must end in 2 or 4.
1 3 and 5 will give you an odd number if either is at the end.
The permutation formula does not lend itself to this problem. That is because repetition is allowed. So 5554 is a possible answer.
You can choose any one of 1 to 5 for the first place.
1 to 5 in the second place independent of what you choose for the first place.
The only thing restricting you is the last place. It must be 1 of 2.
I suppose you could use 2P1 for that.
5 * 5 * 5 * 2P1
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15. When solved for C, the equation is
Answer:
C=K-273.15
Step-by-step explanation:
Here we are given the relation between the measurements of temperatures in Celsius C and Kelvin K . The relationship is as under
K=C+273.15
now we have to rewrite this equation so that we can evaluate C in terms of K
In order to do so , we Subtract 273.15 from both sides.
K-273.15 = C + 273.15-273.15
K - 273.15=C
C=K-273.15
A box that has a width of 32 inches and a length of 60 inches is used to ship
a part. The part lies along the diagonal of the bottom of the box. What is the
longest possible length of the part?
A. 28in
B. 88in
C. 92in
D. 68in
Answer:
68
Step-by-step explanation:
i just took the test.
Find all numbers whose absolute value is 8.
Answer:
8 or -8Step-by-step explanation:
The absolute value of number a:
|a| = a for a ≥ 0
|a| = -a for a < 0
|a| = 8 ⇔ a = 8 or a = -8
The numbers that have an absolute value of 8 are 8 and -8. This is because the absolute value refers to a number's distance from 0 on a number line, which includes both positive and negative numbers.
Explanation:The absolute value of a number refers to its distance from zero on the number line, ignoring whether it is to the left or right (negative or positive). When we speak of the absolute value of 8, we're looking for numbers whose distance from zero is 8 units. This means we are looking for two numbers: +8 and -8 since they are both 8 units away from 0, but in opposite directions.
So, the numbers whose absolute value is 8 are 8 and -8.
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find the value of x^3+y^3+15xy-125 if x+y=5
Answer:
0
Step-by-step explanation:
x+y=5
x^3+y^3+15xy-125
(x+y)(x^2-xy+y^2)+15xy-125
5(x^2-xy+y^2)+15xy-125
5x^2+5y^2-5xy+15xy-125
5x^2+5y^2+10xy-125
5[x^2+2xy+y^2]-125
5(x+y)^2-125
5(5)^2-125
125-125
0
Factor completely x2 + 20x + 99
[tex]x^2 + 20x + 99=x^2+9x+11x+99=x(x+9)+11(x+9)=(x+11)(x+9)[/tex]
what is the common difference for this arithmetic sequence? -6,-2,2,6,10 A.4 B.5 C.3 D.6
Answer:
A
Step-by-step explanation:
The common difference d is the difference between consecutive terms.
d = - 2 - (- 6) = - 2 + 6 = 4
d = 2 - (- 2) = 2 + 2 = 4
Answer:
4
Step-by-step explanation:
BIG BRAIN
The cost, (x), for parking in a city lot is given by c(x) = 3x + 4.00, where x is
the number of hours. What does the slope mean in this situation?
A. The rate of change of the cost of parking in the lot is $3.00 per
hour.
B. The rate of change of the cost of parking in the lot is $4.00 per
hour.
C. It costs a total of $4.00 to park in the lot.
D. Parking in the lot costs $3.00 per car.
Help
Answer:
A) The rate of change of the cost of parking in the lot is $3.00 per hour
Step-by-step explanation:
for y=mx+b:
b is the base "cost" ($4)
x is the number of hours parked in the parking lot
m is the slope or how much it costs to be parked PER hour
therefore, for x hours, the cost would be 3*#of hours + $4, so the rate of change of the cost of parking in the lot is $3 per hour (which is shown by m or the slope)
Answer:
Option A
Step-by-step explanation:
we have
x -----> is the number of hours
c(x) ----> is the cost for parking in a city lot
we know that
c(x)=3x+4.00
This is a linear equation in slope intercept form
where
the rate of change or slope m is equal to m=$3 per hour
the y-intercept is equal to b=$4.00 (this is the cost when the number of hours is equal to zero)
therefore
The rate of change of the cost of parking in the lot is $3.00 per
hour
find a·b
a=<5,2>,b=<4,5>
Answer:
[tex]\large\boxed{\vec{a}\circ\vec{b}=30}[/tex]
Step-by-step explanation:
[tex]\text{Let}\ \vec{u}=\left<a,\ b\right>\ \text{and}\ \vec{v}=\left<c,\ d\right>,\ \text{then}\\\\\vec{u}\circ\vec{v}=ac+bd\\\\==========================\\\\\vec{a}=\left<5,\ 2\right>,\ \vec{b}=\left<4,\ 5\right>\\\\\vec{a}\circ\vec{b}=(5)(4)+(2)(5)=20+10=30[/tex]
Which shows the best path to find the number of centimiters in 1 yard
For this case we have by definition that one yard equals 91.44 centimeters.
We propose a rule of three that allows you to find the number of centimeters in any number of yards:
1yd ------------> 91.44cm
x ------------> y
[tex]y = \frac {x * 91.44} {1}\\y = x * 91.44[/tex]
Where:
y: It is the number of centimeters
x: It is the number of yards.
Answer:
one yard equals 91.44 centimeters.
X+3y=28 when x =28 find the value for y plz help
Answer:
y = 0
Step-by-step explanation:
Plug in 28 for x. Solve for the equation:
x + 3y = 28
(28) + 3y = 28
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 28 from both sides:
28 (-28) + 3y = 28 (-28)
3y = 0
Isolate the variable, y. Divide 3 from both sides:
(3y)/3 = (0)/3
y = 0
y = 0 is your answer.
~
Jerry has a spinner with 4 sections numbered 1 through 4. He suspects that the spinner is not fair because it seems to land on 2 more often than any other number.
To test this, he spins the spinner 250 times and records the relative frequency of each outcome.
Outcome 1 2 3 4
Relative frequency 0.26 0.24 0.24 0.26
Select from the drop-down menus to correctly complete each statement.
For the spinner to be fair, each outcome will be .
The relative frequencies in the table are .
This means it is likely that the spinner is
♡ The Question ♡
Jerry has a spinner with 4 sections numbered 1 through 4. He suspects that the spinner is not fair because it seems to land on 2 more often than any other number. To test this, he spins the spinner 250 times and records the relative frequency of each outcome. Outcome 1 2 3 4 , Relative frequency 0.26 0.24 0.24 0.26 Select from the drop-down menus to correctly complete each statement.
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
For the spinner to be fair, each outcome will be equally likely.
The relative frequencies in the table are relatively close to equal.
This means it is likely that the spinner is fair.
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
No Explanation/Step-By-Step provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
No Tips provided!
The true statements are for the spinner to be fair, each outcome will be equal, the relative frequencies in the table are relatively close and this means it is likely that the spinner is fair.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that,
Outcome 1 2 3 4
Relative frequency 0.26 0.24 0.24 0.26
The spinner has 4 sections
This means that the probability of landing in a section is:
p = 1/4
p = 0.25
So, for the spinner to be fair, each outcome will be equal
The relative frequencies in the table are relatively close is the true statement.
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which are the possible side lengths of a triangle?
Answer:
B) 4, 8, 10
Step-by-step explanation:
4+8 is greater than 10
4+10 is greater than 8
10+8 is greater than 4
Solve |x| + 7 < 4. {x | x < -11 or x > -3} {x | -3 < x < 3} Ø
Answer:
[tex]\large\boxed{\O}[/tex]
Step-by-step explanation:
[tex]|x|+7<4\qquad\text{subtract 7 from both sides}\\\\|x|+7-7<4-7\\\\|x|<-3\Rightarrow\ x\in\O\\\\\text{Because}\\\\|x|\geq0\ \text{for all real value of}\ x[/tex]
Answer: its the o with the line going diagonal through it
Step-by-step explanation:
What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?
[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{11})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{17}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{17-11}{4-2}\implies \cfrac{6}{2}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-11=3(x-2)\implies y-11=3x-6[/tex]
[tex]\bf y=3x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Answer:
[tex]y = 3x + 5[/tex]
Step-by-step explanation:
First, find the rate of change [slope]:
-y₁ + y₂\-x₁ + x₂ = m
[tex]\frac{-11 + 17}{-2 + 4} = \frac{6}{2} = 3[/tex]
Now, plug the coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly. It does not matter which ordered pair you choose:
17 = 3[4] + b
12
5 = b
[tex]y = 3x + 5[/tex]
__________________________________________________________
11 = 3[2] + b
6
5 = b
[tex]y = 3x + 5[/tex]
You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.
I am joyous to assist you anytime.
7 ∙ 15 can be written as _____.
Answer:
7(10+5)
105
Step-by-step explanation:
Distributive property:
↓
A(B+C)=AB+AC
7*15=7(10+5)
7(10+5) is the correct answer.
105 is the correct answer.
I hope this helps you, and have a wonderful day!
By distributive property, 7·15 can be written as 7*(10 + 5) = 105 .
What is distributive property ?According to the distributive property, multiplying the sum of two or more variables by a number will give the same result as multiplying each variables individually by the number and then adding the products together.
Mathematically,
A*(B + C) = AB + AC
How to express the given expression ?Given expression is 7·15 .
By distributive property, the expression can be written as -
⇒ 7·15 = 7*(10 + 5)
⇒ 7*(10 + 5) = 7*10 + 7*5
⇒ 70 + 35 = 105 .
Thus, by distributive property, 7·15 can be written as 7*(10 + 5) = 105
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Can someone help me plz
Answer:
C
Step-by-step explanation:
The sign used is the greater then sign, assuming p is the variable standing for the basketball teams' points then the answer is C.
At the beginning of the season, MacDonald's had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 oranges to a harvest of 41790 oranges.
Write a equation to determine the initial number of oranges on MacDonald farm.
Find the initial number orange trees on Macdonald farm.
Answer:
o = (41790/210)+5;0 = 204
Step-by-step explanation:
o = (41790/210)+5
o = 199+5
0 = 204
(pls give brainliest)
Answer: mcdonald Harvested oranges when there were 5 trees-210
So 1 tree is 210/5=42
41790 oranges come from _ trees
=41790/42
=995 trees
Step-by-step explanation:
Find the slope and the y-intercept of the line whose equation is negative 6 x plus y equals negative 7 −6x+y = −7.
Answer:
slope = 6, y- intercept = - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange - 6x + y = - 7 into this form
Add 6x to both sides
y = 6x - 7 ← in slope- intercept form
with slope m = 6 and y- intercept c = - 7
The similarity ratio of two similar polygons is 2:5. What is the ratio of their areas
Answer:
4 : 25
Step-by-step explanation:
Given the ratio of 2 similar figures = a : b, then
ratio of areas = a² : b²
Given the similarity ratio = 2 : 5, then
ratio of areas = 2² : 5² = 4 : 25
To determine the ratio of areas of two similar polygons, square the similarity ratio. For a ratio of 2:5, the area ratio is 4:25.
The ratio of the areas of two similar polygons is found by comparing the squares of their linear dimensions.
For example, if the similarity ratio of two polygons is 2:5, the ratio of their areas will be (2^2):(5^2), which simplifies to 4:25.
Therefore, the ratio of areas of polygons with a similarity ratio of 2:5 is 4:25.
The length of a rectangle is 8 mm longer than its width. Its perimeter is more than 32 mm. Let w equal the width of the rectangle.
a. Write an expression for the length in terms of the width.
b. Use expressions for the length and width to write an inequality for the
perimeter, on the basis of the given information.
c. Solve the inequality, clearly indicating the width of the rectangle.
Part A
w = width
L = length
L = w+8 since the length is 8 mm longer than the width
Answer: w+8====================================================
Part B
P = perimeter of rectangle
P = 2*(L+W) = 2L + 2W
We want the perimeter to be more than 32 mm, so we want P to be greater than 32
This means we write P > 32
Replace P with either 2(L+W) or 2L+2W. I'll pick 2L+2W
So we go from
P > 32
to
2L+2W > 32
After this, replace L with W+8 (refer to part A above)
We now have
2(W+8) + 2W > 32
Answer: 2(w+8) + 2w > 32====================================================
Part C
Let's solve the inequality found in part B to get...
2(w+8) + 2w > 32
2w + 16 + 2w > 32
4w + 16 > 32
4w + 16-16 > 32-16 ....... subtracting 16 from both sides
4w > 16
4w/4 > 16/4 ......... dividing both sides by 4
w > 4
Answer: w > 4; The width of the rectangle must be larger than 4 mmFind the surface are of this cube 8ft 8ft 8ft
Answer:
A=384
Step-by-step explanation:
For this case we have by definition, that the surface area of a cube is given by:
[tex]SA = 6l ^ 2[/tex]
Where:
l: It's the side of the cube
We have as data, according to the figure, that:
[tex]l = 8ft[/tex]
Substituting in the figure:
[tex]SA = 6 (8) ^ 2\\SA = 6 * 64\\SA = 384 \ ft ^ 2[/tex]
Thus, the surface area of the cube is [tex]384 \ ft ^ 2[/tex]
Answer:
[tex]384 \ ft ^ 2[/tex]
Need help with 1-4.
Answer:
for number 4 the answer is 32 in (please read below)
Step-by-step explanation:
I will do one of them for now... how about number 4.
Similar triangles means we are going to setup a proportion:
Small triangle Big Triangle
Corresponding 12 15
Corresponding x 40
So the proportion is 12/x=15/40
cross multiply
12(40)=15(x)
Divide both sides by 15
giving x=12(40)/15=32
Try number 1... And I will check it for you (just post as a new question-I will be looking for it)
Answer:
1. 8 cm
2. 15 cm
3. 28 cm
4. 32 cm
Step-by-step explanation:
1. 12/6= 2
20/10= 2
Scale Factor= 2
16/2= 8cm
2. 30/18= 1.6666667
15/9= 1.6666667
Scale Factor= 1.6666667
25/1.6666667= 15cm
3. 16/12= 1.333333
32/24= 1.333333
Scale Factor= 1.333333
(21)(1.333333)= 28cm
4. 15/12= 1.25
25/20= 1.25
Scale Factor= 1.25
40/1.25= 32cm
Solve the following system of equations graphically. y - 4 = 0 2x - y - 2 = 0 What is the solution set?
Answer:
{[tex](x,y)|(x=3,y=4)[/tex]}
Step-by-step explanation:
The given system of equations is;
[tex]y-4=0...(1)[/tex]
and
[tex]2x-y-2=0...(2)[/tex]
We rewrite the equations in the standard form to get:
[tex]y=4...(3)[/tex]
[tex]2x-y=2...(4)[/tex]
We now substitute equation (3) into equation (4) to get:
[tex]2x-4=2[/tex]
Group similar terms:
[tex]2x=2+4[/tex]
[tex]2x=6[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{6}{2}[/tex]
This implies that:
[tex]x=3[/tex]
Therefore the solution set is:
{[tex](x,y)|(x=3,y=4)[/tex]}
-2(x+5)=4 sole using distributive property
Answer:
x = -7
Step-by-step explanation:
-2x - 10 = 4
-2x = 14
x = -7
Verification:
-2(-7 + 5) = 4
-2(-2) = 4
4 = 4
Choose the correct simplification of the expression 8 time b over a to the power of -5. a to the power of 5 time b all over 8 8 over a to the power of 5 times b 8a5b Already simplified
Expression to simplify: [tex]\frac{8b}{a^{-5} }[/tex]
Remember, when a number has a negative power, it reciprocates (flips over)
First lets write the expression so that the a is in a fraction by itself:
[tex]\frac{8b}{a^{-5} }[/tex] = [tex]8b[/tex] × [tex]\frac{1}{a^{-5} }[/tex]
So to simplify, all we do is reciprocate [tex]\frac{1}{a^{-5} }[/tex] and make the power positive:
[tex]8b[/tex] × [tex]\frac{1}{a^{-5} }[/tex] = [tex]8b[/tex] × [tex]a^{5}[/tex]
=[tex]8a^{5}b[/tex]
----------------------------------------------
Answer:
[tex]8a^{5}b[/tex]
The correct simplification Expression is [tex]8b/a^-5[/tex]
The correct simplification of the expression "8 times b over a to the power of -5" is [tex]8b/a^-5[/tex]. This can be simplified by using the following rule:
[tex]x^m \times x^n = x^ \ (m + n)[/tex]
Therefore, we can rewrite the expression as:
[tex]8b/a^-5 = 8b \times a^5[/tex]
We can then multiply the numerator and denominator by 8 to get:
[tex]8b \times a^5 = 64b \times a^5[/tex]
Finally, we can rearrange the factors to get:
[tex]64b \times a^5 = 8a^5 \times b[/tex]
Therefore, the simplified expression is [tex]8a^5 \times b.[/tex]
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