To solve this problem, we have to use combination which is a topic in statistics and it deals with the number of ways or arrangement in which and event can occur. the local dry cleaner can make them fill the roles in 210 ways.
CombinationIn the given question, we have 10 candidates and 4 positions to be filled.
Data;
Number of candidates = 10Number of positions = 4[tex]^1^0C_4 = 210[/tex]
From the calculation above, the local dry cleaner can make them fill the roles in 210 ways.
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Which of the following sets of whole numbers represents all the odd three-digit numbers that have a 4 in the hundreds place and a 7 in the tens place?
741; 743; 745; 747; 749
470; 472; 474; 476; 478
740; 742; 744; 746; 748
471; 473; 475; 477; 479
Answer:
D) 471, 473, 475, 477, 479
Step-by-step explanation:
Lets say the three-digit number is ABC.
4 in the hundreds place, thus A = 4
7 in the tens place, thus B = 7.
The number is odd, therefore C = {1, 3, 5, 7, 9}
There are five possible solutions for three-digit number ABC = {471, 473, 475, 477, 479}
Find sin 2x if cos x=-2/3 and x is in quadrant 2
Answer:
-4√5/9.
Step-by-step explanation:
if cos x = -2/3 then sin x = √(1 - (-2/3)^2)
= √(5/9)
= √5/3.
(As x is in quadrant 2 sin x is positive).
So:
sin2x = 2 sin x cos x
= 2 * √5/3 * -2/3
= -4/3 * √5/3
= -4√5/9.
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
PLEASE HELP IF I DONT DO THIS
TOMORROW I DONT GRADUATE
Next we will draw in each deviation from the mean.
Now, think about the average size (length) of all of those deviations, and use this as an estimate for the size of the
Standard Deviation. Don't worry about whether the deviation is to the left or right of the mean. Just consider all of
the lengths. Draw the length of the standard deviation below.
The standard deviation is a measure of a collection of values' variance or dispersion. The standard deviation of the below graph can be drawn as shown below.
What is a standard deviation?The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
The standard deviation of the below graph can be drawn as shown below.
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James uses of a cup of sugar in his cookies, and Jade uses of a cup of sugar in her cookies. Noel takes the sum of the two amounts of sugar and divides it into two equal portions, planning to use only one portion of it in his cookies. How much sugar does Noel use in his cookies?
Answer:
5/8 of a cup
Step-by-step explanation:
find the local maximum and minimum values using the Second Derivative Test.
Answer:
Find the first and second derivatives:
[tex]\begin{aligned}f(x) & =-x-\dfrac{9}{x}\\& =-x-9x^{-1}\\\\\implies f'(x) & =-1-(-1)9x^{(-1-1)}\\ & =-1+9x^{-2}\\ & = -1+\dfrac{9}{x^2}\\\\\implies f''(x) & = 0+(-2)9x^{(-2-1)}\\& = -18x^{-3}\\& = -\dfrac{18}{x^3}\end{aligned}[/tex]
To find the stationary points (local minimum and maximum) set the first derivative to zero and solve for x:
[tex]\begin{aligned}f'(x) & = 0 \\\\\implies -1+\dfrac{9}{x^2} & = 0 \\\\\dfrac{9}{x^2} & = 1 \\\\9 & =x^2\\\\\implies x & = \pm 3\end{aligned}[/tex]
To determine the type of stationary points, input the found values of x into the second derivative.
[tex]f''(3)=-\dfrac{18}{3^3}=-\dfrac{2}{3} < 0 \implies \textsf{maximum}[/tex]
[tex]f''(-3)=-\dfrac{18}{(-3)^3}=\dfrac{2}{3} > 0 \implies \textsf{minimum}[/tex]
Finally, to find the y-values of the stationary points, input the found values of x into the original function:
[tex]f(3)=-3-\dfrac{9}{3}=-6 \implies (3,-6)[/tex]
[tex]f(-3)=-(-3)-\dfrac{9}{-3}=6 \implies (-3,6)[/tex]
Therefore:
[tex]\large \begin{array}{ r | r | c | c }\textsf{At} \: x= & \textsf{and} \: y= & \textsf{sign of} \: f''(x) & \textsf{conclusion}\\ \cline{1-4} -3 & 6 & + & \textsf{minimum} \\ \cline{1-4} 3 & -6 & - & \textsf{maximum}\end{array}[/tex]
6 minus the diffrence x and 3
Answer: It's 3
The sum of 6 and 3 divided by the difference of 6 minus 3
Step-by-step explanation:
The sum of 6 and 3: 6+3The difference of 6 minus 3: 6-3The sum of 6 and 3 divided by the difference of 6 minus 3:
I hope this helps :) [tex]\frac{6}{3} \frac{6}{3} =\frac{9}{3} =3[/tex]
Please Help! Brainliest is available to the best Answer!
Which of the following correlation coefficients best represent the given scatter plot
Answer:
C
Step-by-step explanation:
Evaluating the options :
a : 0.01
Not the likely option because it is very close to 0, indicating there is no correlrationBut from the graph we understand there is a positive correlationSo, it comes down to :
(b) 0.51 or (c) 0.98
If we try and plot a line of best fit, we will obtain a line that passes through the origin and seems similar to y = x.
Hence, the best option is C
What is the square root of A=121 ft2
The result of the square root of the equation A = 121 ft² is √A = 11 ft
What are square roots?Square roots are numbers multiplied by itself to give another number
How to determine the square root?The equation is given as:
A = 121 ft²
Take the square root of both sides
√A = √121 ft²
Evaluate the square root
√A = 11 ft
Hence, the square root of the equation A = 121 ft² is √A = 11 ft
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Find the range of the data set 145, 612, 120, 349, 515, 212, 590.
Answer:
The biggest - the smallest
612-120=492
Answer:
612 - 120=492
Step-by-step explanation:
to find the range the formula is to list the data set from smallest to largest, then subtract the smallest from the largest. 120, 145, 212, 349, 515, 590, 612= 612 - 120= 492
seth claims that the equation h(x) = 3coz (pi/4(x - 2)) + 3 will model the behavior of a rocking chair just as well as g(x) = 3sin (pi/4x)+3. Use a graphic utility to determine if Seth was correct
A. Yes
B. No
Answer:
yes
Step-by-step explanation:
I just took the assignment and got a 100%
A design for a garden is composed of a triangle and 2 rectangles. Some side lengths of the garden design are shown.
What is the area of the garden in square feet?
Answer:
215.625square feet
Step-by-step explanation:
area rectangle = l x w = 7.5x12.5
area triangle = ½ x b x h = ½x 7.5 x 7.5
area of shape = 93.75+93.75+28.125= 215.625square feet
The ratio of side lengths for two similar cubes is 2/5.
Determine the ratios for each of the following.
the perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube
the total surface area of the smaller cube compared to the total surface area of the larger cube
the volume of the smaller cube compared to the volume of the larger cube
Explanation:
ratio of two cubes: 2 : 5
Perimeter of one face of cube: 4 × side
For small cube: 4 × 2 = 8
For big cube: 4 × 5 = 20
Ratio of perimeter of one face: 8 : 20 = 2 : 5
Total surface area of cube: 6a²
For small cube: 6(2)² = 24
For big cube: 6(5)² = 150
Ratio of total surface area: 24 : 150 = 4 : 25
Volume of cube: a³
For small cube: (2)³ = 8
For big cube: (5)³ = 125
Ratio of volume: 8 : 125
#1
Perimeter=4a
Find ratio
4(2)/4(5)8/202/52:5Samd
#2
TSA=6a²
6(2)²/6(5)²4/254:25#3
Volume=a³
2³/5³8/125
Angie read 2 books in 5 days, and each book contained 330 pages. If Angie read the same number of pages each day, how many
pages did she read per day?
A. 73
В. 330
C. 132
D. 660
Answer:
C. 132
Step-by-step explanation:
330 x 2(books) = 660(total pages)
Multiply. 132(pages?) x 5(days)
= 660
Give me the right answer this time pls ♥️.
Answer:
10 and please:
please see photo for detailed analysis
During Year 1, Hardy Merchandising Company purchased $40,000 of inventory on account. Hardy sold inventory on account that cost $24,500 for $38,000. Cash payments on accounts payable were $22,000. There was $26,000 cash collected from accounts receivable. Hardy also paid $5,100 cash for operating expenses. Assume that Hardy started the accounting period with $20,000 in both cash and common stock.
Answer:
Step-by-step explanation:
-40,000
+24500
+38000
+22000
+26000
-5,100
total gain =65000
Whát are the quotient and remainder of (x^5-x^3 +1-5) / (x - 2)?
a. x + 2x2 + 9x + 13; 21
x + 2x2 + 3x + 6x + 13; -21
b. x + 2x + 3x2 + 6x + 13; 12
d. + 2x2 + 3x2 + 6x + 13:21
Answer:
x⁴+2x³ +3x²+6x +12r is the answer
A rectangular park has a perimeter of 374 feet and a length of 65 feet.
What is the width of the park?
Answer:
122 feet
Step-by-step explanation:
We know that the length of the park is 65 feet long and the park is rectangular. Therefore we add 65+65 to find the total of both length sides.
65+65=130
Next we subtract 130 from the total amount of 374 to find the total of both width sides.
374-130=244
Now we divide what is left by 2 to find the width of an individual side.
244÷2=122
The width is 122.
Check your answer by inserting the numbers into the equation for perimeter.
P=2W+2L
374=(2×65)+(2×122)
374=130+244
374=374
use the figure to answe the question
Step-by-step explanation:
Where is the Question?
Can't answer without question
marking brainliest
please help!!!!
Why should a person care about his or her credit report?
Answer:
Checking your credit history and credit scores can help you better understand your current credit position. Regularly checking your credit reports can help you be more aware of what lenders may see. Checking your credit reports can also help you detect any inaccurate or incomplete information.
Step-by-step explanation:
hope this helps if not let me know have a blessed day
. Bri replaced the window blinds on 42 of the 60 windows in the library. Which percent
is equivalent to
Answer:
70%
Step-by-step explanation:
42/60 x 100 = 70%
establish the exact displacement expression and shape functions for the given tapered axial member. Formulate the relevant stiffness matrix
The displacement is represented from the starting position to the final position.
What is displacement?Your information is incomplete. Therefore, an overview of displacement will be given. It should be noted that displacement simply means a vector whose length is the shortest distance from the initial position to the final position.
In this case, the displacement will be:
= Final position - Initial position
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which relation is a function
Top Right
the V shape
Hi!
I am not quite sure the formula I am supposed to use for this or where each piece of information belongs. How would I solve this question?
Jeff Krause purchased 1,000 shares of a speculative stock in January for $1.89 per share. Six months later, he sold them for $9.26 per share. He uses an online broker that charges him $10.00 per trade. What was Jeff's annualized HPR on this investment?
Thanks!
Based on the price he purchased the stock and the amount he sold them for, Jeff's annualized HPR on the investment is 2,395%.
How much is Jeff's annualized HPR?First find the net profit:
= (1,000 x 9.26) - (1,000 x 1.89) - 10
= $7,360
The HPR is:
= 7,360 / (1,000 x 1.89)
= 389.4%
The annualized HPR is:
= (1 + 389.4%)² - 1
= 2,395%
Note: Taken to the power of 2 because there are two six-month periods in a year.
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Which of the following integers is least?
A
-5 + (-2)
B
-5 ÷ (-2)
C
-5 × (-2)
D
-5
Answer:
A) -7 is the least
Step-by-step explanation:
A) (-5) + (-2) = (-7)
If two numbers have same sign, add and the result will have the common sign.
b) (-5) ÷ (-2) = 2.5
In division negative number divided by another negative number will give a positive number.
c) (-5)*(-2) = 10
In multiplication multiplication of two negative numbers will give a positive number.
d) = -5
In these (-7) is the least integer
Part A: Which polynomial below is a fourth-degree polynomial in standard form? Explain how you know it is a fourth-degree polynomial and how do you know it’s in standard form.
(Image Below)
Part B: Explain the closure property as it relates to polynomials and give an example.
In the given question, all the equations are fourth degree polynomial because they all have the highest power of 4
What is degree of polynomial?A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.
In the given question, all the equation are fourth degree polynomial
2x^3 -3x^2 + 1 + 5x^45x^4 + 2x^3 -3x^2 + 1-3x^2 + 1 + 5x^4 + 2x^31 - 3x^2 + 2x^3 + 5x^4What closure property relates here is that when we add two different polynomial, the result will definitely be a polynomial.
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The length of each of the two congruent sides of an isosceles triangle
is 2n +7 and the length of the third side is 3n
Draw and label the isosceles triangle.
Answer:
To find the perimeter you add the length of all sides.
1). 2n + 7 + 2n + 7 + 3n = perimeter
2). 2(2n + 7) + 3n = perimeter
Step-by-step explanation:
Hope this helps!! :)
why x^2=16 and x^2=-16 do not have the same solution
Step-by-step explanation:
x^2 = 16
x = ±4
x^2 = -16
x = -
as a negative number cannot be squareroot
erica earned a total of $67,850 last year from her two jobs.the anount she earned from her job at the store was $1,450 more than three times the amount she earned from her job at the college.how much did she earn in dollars from ger job at the college?
Answer:
Step-by-step explanation: