The number of the adult leaders will be 4
What will be the number of adult leaders?A Number of cub scouts in troop 584 is = 25 .As per the statement given in the question "The number of scouts is 5 more than five times the number of adult leaders"
Number of scouts = 5(Number of adults) + 5
Here number of scouts = 25
Therefore, the equation will become as
25 = 5(Number of adults) + 5
5(Number of adults) = 25 - 5
5(Number of adults) = 20
(Number of adults) = 20/5=4
Hence the number of the adult leaders will be 4
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A placebo is a medically ineffectual treatment that looks like a real treatment. Sometimes patients given a placebo treatment, unaware of the fact that it is indeed a placebo, will have a perceived or actual improvement in their condition. This phenomenon is commonly called the placebo effect.
A group of doctors was interested in comparing the effectiveness of placebo pills (made of sugar) and real pills in treating migraines. They randomly assigned a group of 300 patients suffering from migraines into two groups. One group was given a real pill and the other was given a placebo. Both groups were told which kind of pill they got.
Before taking the pills, and a day afterwards, the patients were asked to fill out questionnaires regarding their condition. Then, the doctors analyzed the overall changes in questionnaires for each group and compared them.
What type of statistical study did the doctors use?
A. Sample Study
B. Experiment
C. Observational Study
Is the study appropriate for the statistical questions it's supposed to answer?
A. Yes, because the patients filled the same questionnaire before and after taking the pills.
B. No, because telling patients about the pills introduces bias.
C. Yes, because the patients were randomized between the two groups.
D. No, because we don’t know how effective the real pills are.
Experimental studies were the type of statistical study used by doctors in research on comparing placebo pills with real pills.
The study carried out is not appropriate for the statistical questions that must be answered, because telling patients about the pills introduces bias.
What is an experimental study?It is a method of scientific research in which there is the introduction of an intervention by the researchers, in which the resulting effects will be objects of study.
Therefore, in an experimental study there will be randomization of participants, who will be randomly grouped into a group to carry out the controlled trial.
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Answer: Experiment
No, because telling patients about the pills introduces bias
percentage are boys? 3. The price of a chocolate bar is 25p and includes 5p profit. Express the profit as a percentage of the original price.
Answer:
25%
Step-by-step explanation:
the original price is 20 not 25 because 25 is the total of the profit and the price of the chocolate so there's no way 25 is the original price and if you know that and you know the formula it'll be easy for you to get the percentage profit good day.
Which line plot displays a data set with an outlier?
Answer: See attached, the top right
Step-by-step explanation:
What is an outlier? An outlier, in a data set, is a data value that is outside the overall pattern of distribution.
This means the answer to your question is the top right because the data value of 13 is outside the overall pattern, hence an outlier.
Answer:
The 2nd one on the top
Step-by-step explanation:
It's that one because it goes from 8 to 13 and that's a big jump causing it to be the outlier.
3. If 3, x, y, 18, are in arithmetic progression, (A, P) find the value of x and y
b) the sum of the second and third terms of a geometric progression is six times the fourth term, find the two possible values of common ratio
i) If the seconds term is 8 and the common ration is positive, find the first six terms. 10mrks
Answer:
Below in bold
Step-by-step explanation:
The sequence is:
3, x, y, 18
If this is an A P then
x - 3 = y - x
2x - y = 3 (A) and
y - x = 18 - y
2y - x = 18 (B)
Multiply (A) by 2:
4x - 2y = 6 (C)
Adding B and C:
3x = 24
x = 8.
and
2y - 8 = 18
2y = 26
y = 13.
So x = 8 and y = 13.
b) ar + ar^2 = 6ar^3 where a = first term and r = common ratio
Divide by a:
r + r^2 = 6r^3
6r^3 - r^2 - r = 0
r(6r^2 - r - 1) = 0
r(3r + 1)(2r - 1) = 0
So the 2 possible values of r
= -1/3 and 1/2.
i) The common ratio is positive so it must be 1/2.
Second term ar = 8
1/2 a = 8
a = 16.
So the first 6 terms are:
16, 8, 4, 2, 1, 1/2.
identify the open intervals on which the graph of the function is concave upward or concave downward.
The concavity of the function in this problem is classified as follows:
Concave up: (-2,2).Concave down: (-∞, -2) U (2, ∞).When a function is concave up and when it is concave down?A function is said to be concave up when ts graph behaves like a portion of a parabola that opens upward.A function is said to be concave down when ts graph behaves like a portion of a parabola that opens upward.Hence the intervals are given as follows:
Concave up: (-2,2).Concave down: (-∞, -2) U (2, ∞).More can be learned about the concavity of a function at https://brainly.com/question/31402878
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−11 ≤ −5; Add 16 to both sides
The resulting inequality is:
Answer:
True, (-∞, ∞) 5 ≤ 11
Step-by-step explanation:
−11 ≤ −5 Add 16 to both sides
−11 + 16 ≤ −5 + 16
5 ≤ 11
Britney is buying a shirt and a hat at the mall. The shirt costs $32.61, and the hat costs $19.82. If Britney gives the sales clerk $100.00. how much change should she receive? (Ignore sales tax.)
A. $44.47
B. $57.32
C. $52.43
D. $47.57
Answer:
D. $47.57
Step-by-step explanation:
Add up the cost of the two items
$32.61 + $19.82 = $52.43
subtract the cost for the $100
100-52.43 = 47.57
The change is D. $47.57
Answer:
$47.57
Step-by-step explanation:
cost of the t-shirt = $32.61
cost of the hat= $19.32
total cost of items she bought= 32.61+19.82= $52.43
Amount of change she received= 100-52.43= $47.57
PLEASE HELP PLEASE HELP PLEASE
Answer:
1:1
Step-by-step explanation:
∆ABC is mapped to ∆A'B'C' using each of the given rules in the table below. Place a checkmark in the correct column for each mapping to state if the resulting mapping would make ∆ABC congruent or not congruent to ∆A'B'C'.
∆ABC is congruent to ∆A^' B^' C'
∆ABC is NOT congruent to ∆A^' B^' C'
(x,y) → (x+5,y)
(x,y) → (5x,5y)
(x,y) → (.5x,.5y)
(x,y) → (x,-y)
(x,y) → (-x,-y)
For reference you can look at the attachment
I have taken three points (1,1),(2,1),(3,3)Then converted them accordingly
#1(Graph 2)
Yes#2(Blue dots on graph 1)
NoThey are similar but not equal
#3(Purple dots)
NoSimilar but not equal
#4(Green dots)
Yes#5(Black dots)
YesQuestion 1 of 10
Which of the following statements regarding the expansion of (x + y)" are
correct?
A. The coefficients of X" and y both equal 1.
B. For any term xyl in the expansion, a + b = n
c. For any term xay in the expansion, a - b = n.
D. The coefficients of yn - 1 and yn – 1 both equal 1.
SUBMIT
The statement regarding the expansion of (x + y)" that is correct is D. The coefficients of yn - 1 and yn – 1 both equal 1.
How to expand?It should be noted that for any positive integer, n, the expression of (x + y)^n will be C(n,0)x^n + C+n, 1)x^n-1 .... C(n, n)y^n.
Here, the statement regarding the expansion of (x + y)" that is correct is that the coefficients of yn - 1 and yn – 1 is both equal to 1.
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Can you help me please
From the figure given above, angel < ABE = 40°
Calculation of unknown angleThe angle of a straight line = 180°
That is angle <ABC = 180°
If <EBC is = 140°
Therefore, <ABE = 180 - 140
= 40°
Therefore, from the figure given above, angel < ABE = 40°
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What is the area of this shape?
The area of the composite shape in the image given is calculated as: 316 yd²
How to Find the Area of a Composite Shape?To find the area of a composite shape, find the area of each of the shape that makes up the figure, then add their areas together.
The area of the composite shape = area of big rectangle + area of small rectangle + area of big triangle + area of small triangle
Area of big rectangle = (length)(width) = (5 + 4)(8) = 72 yd²
Area of small rectangle = (length)(width) = (5)(4) = 20 yd²
Area of big triangle = 1/2(base)(height) = 1/2(12)(4+5+4+7) = 120 yd²
Area of small triangle = 1/2(base)(height) = 1/2(8+5)(16) = 104 yd²
The area of the composite shape = 72 + 20 + 120 + 104 = 316 yd²
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100 POINTS! College Statistics
*Wrong/Spammy Answers will be removed*.
Check the attachment for the whole question. Ignore letter e
(a) Collision claims tend to be skewed right because there are a few very large collision claims relative to the majority of claims.
These large collision claims skew the data to the right because they are outliers that draw the mean higher than it should be.
The answer cannot be "no large collision claims" or "many large collision claims" because then the data would not be skewed.
(b) Since there are two random samples comparing two means, we will be using a 2-Samp-T-Test. We will use Welch's approximate t-test, where we test the hypothesis that these two populations have the same mean.
We want to determine if 20-24 year old drivers have the same mean collision cost as 30-59 year old drivers.
(c) The null hypothesis is that the mean claim of collision costs for 20-24 year old drivers is the same as the mean claim of collision costs for 30-59 year old drivers.
We can also rewrite this as:
H₀: μ₁ = μ₂where μ₁ is the mean collision claims for 20-24 year old driversand μ₂ is the mean collision claims for 30-59 year old driversThe alternative hypothesis is that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.
We can rewrite this as:
H₁: μ₁ > μ₂Our variables have already been defined(d) In order to calculate the p-value, we must find the test statistic first.
We can do so by using this formula:
[tex]\displaystyle t=\frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]We are given these variables in the problem:
[tex]x_1=4590[/tex][tex]s_1=2302[/tex][tex]x_2=3670[/tex][tex]s_2=2029[/tex][tex]n_1=40[/tex][tex]n_2=40[/tex]Substitute these variables into the formula for the test statistic.
[tex]\displaystyle t=\frac{4590-3670}{\sqrt{\frac{2302^2}{40} +\frac{2029^2}{40} } }[/tex]You can use the calculator to solve this expression, or plug the numbers into your calculator using: STAT - TESTS - 4:2-SAMPTTEST.
Your test statistic should be: t = 1.8962.
The calculator should also tell you the p-value; p = .0308.
(e) Since p = .0308 < α = .1, reject the null. We have convincing statistical evidence that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.
230 is 12% of what number? Use proportion to find the answer.
Answer:
hello!!!
the answer is 1916.6
please read the explanation it always helps... trust me!
Step-by-step explanation:
alrighty so....
we what to find the number that when we take 12% of we get 230...
okay we have to switch things up in the percent formula since we dont have the total number just the percentage and the percent number itself (i hope that isnt confusing.. the math is easier tho)
230 x 100= 23000 --> 23000/12= 1,916.6
Answer:
1,916.67
Step-by-step explanation:
1230/12 = x/100.
12x= (230)(100).
12x=23000.
x= 23000/100
x = 1,916.67
Add.
6 5/6 + (−6 1/5)
This is a fraction, not a whole number negative sum.
Enter your answer as a simplified fraction in the box.
Answer:
19/30
Step-by-step explanation:
had this in an old problem in school
:D
What is the value of y?
The theorem is used to find the side and angles of a triangle. The value of y from the given diagram is 0.64
SOH CAH TOA identityThe given diagram are right angled triangle
From the lower triangle
sin45 = a/2√2
1/√2 = a/2√2
1 = a/2
a = 2
Determine the value of y
tan 60 = opp/adj
tan 60 =y/2
y = 2 tan60
y = 0.64
Hence the value of y from the given diagram is 0.64
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last question before I go. [tex]x^{2} -y[/tex] when [tex]x = 4, y = 2[/tex].
Hey there!
x^2 – y
= 4^2 – 2
= 4 * 4 - 2
= 16 - 2
= 14
Therefore, the answer should be: 14
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which system of linear equations makes the sentence true? is a system of linear equations representing intersecting lines. is a system of linear equations representing parallel lines. is a system of linear equations representing coincidental lines.
The system of the equations 3x = 5y - 22 and 12x = 20y - 11 are parallel lines. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equations are given below.
− 3x + 5y = 22 or 3x = 5y − 22 ...1
20y − 11 = 12x or 12x = 20y − 11 ...2
The system of the equations follows the condition that will be
12/3 = 20/5 ≠ 11/22
4 = 4 ≠ 1/2
This is the condition for the parallel lines or no solution.
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Answer:
2x + y = 4, 5y = 10x + 4
is a system of linear equations representing intersecting lines.
2x + 3y = 21, -6y = 4x + 1
is a system of linear equations representing parallel lines.
-2x + 4y = 9, 8y = 4x + 18
is a system of linear equations representing coincidental lines.
Step-by-step explanation:
Graphed them all.
i need help with this question
Answer:
Simulation --> An imitation
Sample --> The part of a population
Biased sample --> A sample that is not
Population --> A group
please help!! Trying to catch up on my old due assignments before summer
If you’re able to, please explain how you did it
Answer:
A = 50.24 inch^2
Step-by-step explanation:
Area = πr^2
So we have r =4inch and let π = 3.14
A = 3.14 * 4^2
A = 50.24 inch^2
Shira plants carrots in 4/10 of her garden and potatoes in 25/100 of her garden she wants to know what fraction of her garden has carrots and potatoes
Answer:
In the white box with the "?" PUT 40
final answer: 13/20
Step-by-step explanation:
4/10 + 25/100
can only be added if you find a common denominator. That is the step being asked for on your screen. 4/10 is the same as 40/100.
4/10 + 25/100
= 40/100 + 25/100
Keep the bottom, add the tops.
= (40+25)/100
= 65/100
always simplify when possible. 5 goes into both 65 and also 100
65/100
= 13/20
13/20 of Shira's garden is planted with carrots and potatoes.
What is the slope of a line perpendicular to the line whose equation is
3x+6y=-54.
Fully simplify your answer.
Answer:
slope = 2
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
(where m is the slope and b is the y-intercept)
Given equation:
[tex]3x + 6y = -54[/tex]
Rearrange the given equation to make y the subject:
[tex]\implies 6y=-3x=-54[/tex]
[tex]\implies y=-\dfrac{1}{2}x-9[/tex]
Therefore, the slope of the given equation is [tex]-\dfrac{1}{2}[/tex].
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope (m) of the line perpendicular to the given equation is:
[tex]\implies -\dfrac{1}{2} \cdot m=-1[/tex]
[tex]\implies m=-1 \div -\dfrac{1}{2}[/tex]
[tex]\implies m=-1 \cdot-2[/tex]
[tex]\implies m=2[/tex]
PLEASE EXPLAIN I NEED THIS
a rental truck company charges $25 per day plus a fee of $0.35 for every mile (m) driven. Which equation can be used to find the number of miles driven for a truck that costs a total of $42.50 to rent for one day?
If using the method of completing the square to solve the quadratic equation
x2 – 14.0 – 40 = 0, which number would have to be added to "complete the
square"?
---
The number that we need to add to "complete the square" when solving x² – 14x – 40 = 0 using the method of completing the square is 49.
To solve a quadratic equation using the method of completing the square, we need to add the square of half of the coefficient of the x term to both sides of the equation.
This will convert the left side of the equation into a perfect square trinomial.
Then, we can take the square root of both sides and isolate the variable x.
To solve the quadratic equation x² – 14x – 40 = 0 using the method of completing the square, we need to add the square of half of the coefficient of x to both sides.
The coefficient of x is -14, so half of it is -7.
The square of -7 is 49.
Therefore, we need to add 49 to both sides of the equation to "complete the square".
Now, we have: x² – 14x + 49 = 40 + 49
Simplifying this gives: (x - 7)² = 89
Taking the square root of both sides gives: [tex]x - 7 = \pm\sqrt{89}[/tex]
Adding 7 to both sides gives:[tex]x = 7 \pm\sqrt{89}[/tex]
Therefore, the number that we need to add to "complete the square" when solving x² – 14x – 40 = 0 using the method of completing the square is 49.
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area of parellogram
pls help
Answer:
136
Step-by-step explanation:
simple as you can remember, the area of a parallelgram has the exact formula as the rectangle,
lw = a.
This brings us to 8 × 17, which is 136.
Is it SSS, SAS, ASA, SAA, or HL?
Answer:
it’s SAA
Step-by-step explanation:
ur wlcm, i am sure of my answer
brainliest please?
Guys, I have a question.
Will I still pass if I got a C+ in terms 1, 2, and 3?
Because I got C+ in terms 1 and 2 and I'm scared to fail so can anyone tell me if I will fail or pass if I got a C+ in term 3, and motivate me and make me confident?
C+
if you get a C+ in term three and four then I don't think you will pass if you get a C+ in term three but get your grade up to B+ A- or A+ i term four you will and if you get in the B range for term 3 at least and keep it up in term four you will pass you just have to study and pay attention in class i believe in you. you can do it
Find the fourth derivative of f(x) = 3x^-1 ƒ(4) (x) =
[tex]f(x) = 3x^{-1}\\\\f'(x) = 3(-1) x^{-1-1} = -3x^{-2}\\\\f''(x) = -3(-2)x^{-2-1} = 6x^{-3}\\\\f'''(x) = 6(-3)x^{-3-1}=-18x^{-4}\\\\f''''(x) = -18(-4)x^{-4-1} = 72x^{-5}[/tex]
[tex]\text{The fourth derivative of f(x) is}~ 72x^{-5}.[/tex]
Each morning, Jon rides 1.5 miles to school and then rides to his aunt’s house after school. Later in the evening, he takes the same route to get back to his house. Over 5 days, he rides 44 miles.
Which equation can be used to find x, the distance from school to his aunt’s house?
The equation that can be used to determine the distance from school to his aunt's house is x = 29 miles / 10.What equation can be used to represent the total distance travelled? Total miles rode = 10(miles ridden to school) + (10 x miles rode to his aunt's house from school) 44 miles = (10 x 1.5) + (10 × x)44 miles = 15 miles + 10x What equation that can be used to determine distance rode from school to her aunt's house? Given this equation : 44 miles = 15 miles + 10x, take the following steps: Combine similar terms: 44 miles - 15 miles = 10x 29 miles = 10x Divide both sides by 10 x = 29 miles / 10
