Answer: A
Step-by-step explanation:
12 black cards / 20 cards in all.
20 x 5 = 100, 12 x 5 = 60
Vitamin D is important for the metabolism of calcium and exposure to sunshine is an important source of vitamin D. A researcher wanted to determine whether osteoperosis was associated with a lack of exposure to sunshine. He selected a sample of 250 women with osteoperosis and an equal number of women without osteoperosis. The two groups were matched - in other words they were similar in terms of age, diet, occupation, and exercise levels. Histories on exposure to sunshine over the previous twenty years were obtained for all women. The total number of hours that each woman had been exposed to sunshine in the previous twenty years was estimated. The amount of exposure to sunshine was compared for the two groups.
Required:
a. Determine whether this is a controlled experiment or an observational study.
b. Identify the treatment variable.
Answer:
Vitamin D and Osteoporosis
a. This is an observational study. The researcher is trying to observe the two groups of women who suffer from osteoporosis. She did not apply any treatment on any group, as is the case with experimental researches.
b. The treatment variable is the amount of exposure to sunshine.
Step-by-step explanation:
This study is an observational research because the researcher lacks the control over the variables, especially the amount of exposure to sunshine. She is merely observing what has occurred previously. On the other hand, an experimental study will involve the application of some treatments to one group of women and then the recording of the effects. But in this case, the researcher merely recorded the effects that had occurred without applying any treatment to any group.
√ 3 x + 4 = √ 3 x + 4 3 x + 4 = 3 x + 4
Answer
Step-by-step explanation: =/
Select the correct answer. What is the solution to the equation?
square root of x-3 + 1 = 6
64
46
28
22
Answer:
Correct answer is 28
Step-by-step explanation:
The solution to the equation is 8.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
x - 3 + 1 = 6
Solve for x.
x - 2 = 6
x = 6 + 2
x = 8
We can cross-check.
x - 3 + 1 = 6
8 - 3 + 1 = 6
9 - 3 = 6
6 = 6
True
Thus,
The solution is 8
Learn more about solutions of equations here:
https://brainly.com/question/545403
#SPJ2
find the area of the trapezium whose parallel sides 24 cm and 20 cm and the distance between them is 15 cm.
Answer:
330
Step-by-step explanation:
A=a + b / 2 x h
a = 24, b = 20, h = 15
24 + 20 divided by 2 times 15
44 divided by 2 time 15
22 times 15 = 330
Solve 1/11c > 9. Graph the solution. . The solution is
Answer:
I suppose that the inequality is:
(1/11)*c > 9.
To solve this we need to isolate c in one side of the inequality.
To isolate it, we need to multiply both sides by 11, then we get:
11*(1/11)*c > 9*11
c > 9*11 = 99
c > 99.
To graph this, we will have an open dot at c = 99, and an arrow that points to the right direction.
The graph is shown below.
Plz help ASAP plz help
Answer:
t=12
Step-by-step explanation:
5t / 4 = 18 - 3
5t / 4 = 15
5t = 15 x 4
5t = 60
t = 12
Hope that helps!
Answer t is 12
Step by step explanantion
Your new computer cost $1,500, but it depreciates in value by about 18% each year. How much will your computer be worth in 6 years?
Answer: Nothing or 0
I am having trouble on figuring out how to write this out to solve it.
The domain is (-infinity,1)(1, infinity) or {x|X=/1} the dash goes through the equal sign
the formula may be h^2x h squared x for expanding using sum/difference
The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 800 voters in the town and found that 51% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 47%. Determine the P-value of the test statistic. Round your answer to four decimal places.
hope this helps!!
mark me brainlist? this took a lil bit
Can someone explain how to do this
Answer:
20%
Step-by-step explanation:
im not really good at percentages but from what i know you first make it a fraction by adding all the numbers together to get 55(denominator). then for the numerator you take the section that they want(11). 11/55 is equal to 20/100(divide 100 by 55 and multiply the quotient by 11 to get 20). 20/100 is 20%. hope this kinda helps.
Determine what number to multiply the first equation by to form opposite terms for the x-variable. 2/5 x + 6y = -10 –2x – 2y = 40 Multiplying the first equation by will create opposite x terms.
Answer: 5
Step-by-step explanation: edge 2021
You can use the constant which if multiplied with the coefficient of x in first equation, ends up making it negative and of equal magnitude to the coefficient of x variable in second equation.
The first equation should be multiplied by the constant 5
How to choose what quantity to multiply the first equation?This method is actually called method of elimination to solve a system of linear equations.
We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).
If we have equations:
[tex]a_1x + b_1y = c_1\\a_2 x + b_2y = c_2\\[/tex]
then, if we want to eliminate variable x, then we have to multiply equation 1 with [tex]-\dfrac{a_2}{a_1}[/tex] which will make coefficient of x in first equation as [tex]a_1 \times -\dfrac{a_2}{a_1} = -a_1[/tex]
Then adding both equation will eliminate the variable x.
We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.
Using above method for getting the needed constantThe system of equation we've got is
[tex]\dfrac{2}{5}x + 6y = -10\\\\-2x -2y = 40[/tex]
Thus, we have the constant needed = [tex]-\dfrac{a_2}{a_1} = -\dfrac{-2}{2/5} = 5[/tex]
The resultant system of equation we will get is:
[tex]2x + 30y = -50\\\\-2x -2y = 40[/tex]
Thus,
The first equation should be multiplied by the constant 5
Learn more about system of linear equations here:
https://brainly.com/question/13722693
The first equation of a system of equations is y = -3x + 2. The graph of the system has no solution. Write a possible second equation for the system.
Answer:
see below.
Step-by-step explanation:
For a system of equation to not have a solution, the pair of lines will never intersect. For two lines to never intersect, their slopes will be parallel.
The second equation can be as simple as y = -3x.
The only equation it cannot be with a slope of -3 is y = -3x + 2. This is because that is the same equation and will therefore have an infinite number of solutions.
What number is missing from this factor tree for the prime factorization of 328?
A. 39
B. 41
C. 42
D. 82
Answer: Your Answer Is A) 41
Step-by-step explanation:
328
^
2 x 164
^
2 x 82
^
2 x 41Which line is the line of reflection?
Answer:
b
Step-by-step explanation:
because those two triangles are face to face
[tex]3(x+2)^2-6=21[/tex]
Only one of the comparisons below is correct. Which is correct? What benchmark was used in your answer?
ANSWERS ARE:
2/3<1/2; I used 1/2 as a benchmark.
1/2=3/5; I used 1/4 as a benchmark.
2/3<9/10; I used 3/4 as a benchmark.
3/4<2/3; I used 1/2 as a benchmark.
Answer:
2/3<9/10; I used 3/4 as a benchmark.
Step-by-step explanation:
2/3<1/2; I used 1/2 as a benchmark.
2/3 = 0.(20/3) = 0.667
1/2 = 0.(10/2) = 0.5
So this is wrong, as 0.667 > 0.5.
1/2=3/5; I used 1/4 as a benchmark.
1/2 = 0.(10/2) = 0.5
3/5 = 0.(30/5) = 0.6
0.5 != 0.6, so this is wrong.
2/3<9/10; I used 3/4 as a benchmark.
2/3 = 0.(20/3) = 0.667
9/10 = 0.(90/10) = 0.9
So this is correct, as 0.667 < 0.9
3/4<2/3; I used 1/2 as a benchmark.
3/4 = 0.(30/4) = 0.75
2/3 = 0.(20/3) = 0.667
0.75 > 0.667, so this is wrong.
The volume of a cone-shaped hole is 1471 ft. If the hole is 9 ft deep, what is the radius of the hole
Please don’t put random numbers i just want the answer, I’ll make you brainliest
The volume πr^2*height/3=1471
π*r^2=1471/9*3
π*r^2=490.33(I'm rounding all my numbers to the hundredths digit)
r^2=490.33/3.14(taking 3.14 for pi)=about 156.16
r= sqrt 156.16=about 12.5
Again this answer is not precise but I rounded everything to the hundredths digit because pi is never ending. I hope it helped!
... me no like math...
Answer:
i got 61.27
Step-by-step explanation:
quater circumference [tex]=\frac{3.14 * 22}{4}[/tex]
= 17.27
20+2+2+(20-11)+11+17.27 = 61.27
Geometry problem above^^^ In the figure at the right FGH ~ KLJ....
Answer:
x = 12
y = 4.5
Step-by-step explanation:
Since ∆FGH ~ ∆KLJ, therefore, we would have the following proportion:
[tex] \frac{FG}{KL} = \frac{GH}{LJ} = \frac{FH}{KJ} [/tex]
[tex] \frac{9}{y} = \frac{x}{6} = \frac{6}{3} [/tex]
✔️Let's solve for x using:
[tex] \frac{x}{6} = \frac{6}{3} [/tex]
Multiply both sides by 6
[tex] \frac{x}{6}*6 = \frac{6}{3}*6 [/tex]
[tex] x = \frac{6*6}{3} [/tex]
[tex] x = 12 [/tex]
✔️Solve for y using:
[tex] \frac{9}{y} = \frac{6}{3} [/tex]
Cross multiply
[tex] y*6 = 3*9 [/tex]
6y = 27
y = 27/6
y = 4.5
find the Sum and the product
of the root of the Equadration
1/3and 2/3
Answer:
sorry do not know
Step-by-step explanation:
.
Answer:
9x² - 9x +2
Step-by-step explanation:
general formula =x²-(sum of roots)x+(product of roots)
Select all expressions that are equivalent to 64^2/3
Answer:
16
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
determine the prime number between 150 and 200
Answer:
Thus out of 16 numbers which are multiples of 6 increased or decreased by 1,five numbers namely, 169, 175, 155, 185, and 187 are composite numbers. Thus we have 11 prime numbers between 150 and 200. We know 2,3, and 5 are prime numbers. Similarly 11, 13, 17, 19 are prime numbers
hope it helps you
please mark me as brainlist
Question 5 of 5 0 3 4 5 6 7 8 9 10 Which of the following could be the number shown on the number line? O A A. V20 OB. √24 C. 27 D. 26
Answer:
hi may u send a pic?
Step-by-step explanation:
Answer: 24
Step-by-step explanation:
With every number starting with 2 count the number line up it doesn't past 5 or on 5 so it's not 5. It's past 4 so whats your answer?
Three years ago A's age was double of B's
age. Seven years hence, the sum of their
ages will be 83 years. Find the present
age of A?
Answer:
present Age of " A " will be (x) = 45 years
present Age of " B " will be (y) = 24 years
Step-by-step explanation:
Age of " A " = x years
Age of " B " = y years
(Three years ago A's age was double of B's age.)
==> (x-3) = 2 * (y-3)
==> x - 2y = -6 + 3
==> x - 2y = -3 -------------(1)
(Seven years hence, the sum of their ages will be 83 years )
==> (x+7)+(y+7) = 83
==> x + y = 83 - 14
==> x + y = 69 ------------(2)
Subtract equ.(1) & equ(2)
==> -2y - y = -3 - 69
==> -3y = -72
==> y = -72/(-3)
==> y = 24
Keep value of y in equ(2)
==> x + 24 = 69
==> x = 69 - 24
==> x = 45
Which of the expressions below is greater than 100? Select all that apply.
A) 41.588 + 48.112
B) 25.768 + 77.312
C) 93.546 + 7.015
D) 297.354 – 195.81
E) 112.457 – 11.982
Answer:
The answer is b, c, d and e
Components used in a cellular telephone are manu- factured with nominal dimension of 0.3 mm and lower and upper specification limits of 0.295 mm and 0.305 mm respectively. The x and R control charts for this process are based on subgroups of size 3 and they exhibit statistical control, with the center line on the x chart at 0.3015 mm and the cen- ter line on the R chart at 0.00154 mm.
Required:
a. Estimate the mean and standard deviation of this process.
b. Suppose that parts below the lower specifica- tion limits can be reworked, but parts above the upper specification limit must be scrapped. Estimate the proportion of scrap and rework produced by this process.
c. Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend
Answer:
1. Mean = r bar = 0.0154mm
Standard deviation = 0.0009096
2. Proportion of rework produced = 30ppm or 0.0003%
Proportion of scrap = 60ppm or 0.0006%
3 recommended value = 0.3000
Step-by-step explanation:
The mean = x bar = 0.3015mm
Standard deviation = r bar/d2
R bar = 0.0154 mm
d2 = 1.693mm
= 0.0154mm/1.693mm
= 0.0009096mm
B. Lower specification 0.295
P(x<0.295)
= ϕ(0.295-0.3015/0.0009096)
This gives us 0.00003
So we conclude that 30 ppm or 0.0003% of the parts produced by the process would be reworked
For scrap,
X>0.305 upper specifications
1-ϕ(0.305-0.3015/0.0009096)
= 1-0.99994
= 0.00006
So we conclude that 60 ppm or 0.0006% of the parts produced by the process would be scrapped.
c. to get the recommended value of the process mean
= (0.305+0.295)/2
= 0.6/2
= 0.3000
the recommended value would be 0.3000
what is two plus eight
Answer:
2 + 8 = 10
Step-by-step explanation:
Hope it helps you!
Answer:
10 is the answer
Step-by-step explanation:
can someone pls just give me a simple answer -6(2z - 4) use Z = 3
Answer:
12
ignore this i have to put words in to give u the answer
Answer:
-6 (this is easy math)
What is the surface area of a regular square pyramid with a slant height of 12 cm in a lateral edge of 13 cm?
Answer:
340 cm squared
Step-by-step explanation:
[tex]l=2\sqrt{13^{2} -12^{2} }=10cm[/tex]
[tex]A=l^{2} +2l*h\\10*10+2*10*12=340cm^{2}[/tex]
What is the volume of the cone shown below?
Answer:
A. [tex] 96\pi \: cu. \: units[/tex]
Step-by-step explanation:
Radius of cone (r) = 4 units
Height of cone (h) = 18 units
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{3} \pi {(4)}^{2} \times 18 \\ \\ = \pi {(4)}^{2} \times 6 \\ \\ = 16\pi \times 6 \\ \\ V_{cone} = 96\pi \: {units}^{3} [/tex]