Answer:
r = 18 cm
Step-by-step explanation:
The formula for the circumference of a circle is 2πr.
Hence,
2πr = 36π
r = 18 cm
On the basis of her newly developed technique, a student believes she can reduce the amount of time schizophrenics spend in an institution. As director of training at a nearby institution, you agree to let her try her method on 20 schizophrenics, randomly sampled from your institution. The mean duration that schizophrenics stay at your institution is 90 weeks, with a standard deviation of 10 weeks. The scores are normally distributed. The results of the experiment show that patients treated by the student stay at the institution a mean duration of 84 weeks. What do you conclude about the student’s technique? Use α = .05. What are the 7 steps?
The exercise above is referred to as Hypothesis Testing which is also called Significance Testing.
What is Significance Testing?
Significance testing is a method that is used to evaluate a research question. This is important because, after you have set a research question or hypothesis, the next step is to check whether it is Null or not.
What are the seven steps involved in the above exercise are:
Two-Tailed (non-directional test)Alpha (α) = 0.05μ = 90σ = 10N = 20X = 84s = 10
Using ∝ = 0.05₂ tail, the conclusion is given as follows:
Z[tex]_{obt}[/tex] = (84-90)/10/[tex]\sqrt{10}[/tex]
= - 6/10/3.1622777
= -6/3.1622777
= -1.8973666
Z[tex]_{crit}[/tex] = for a two-tailed test with ∝ = 0.05 = = ± 1.960
Because we are looking at the left (negative, fewer) tail, Z[tex]_{crit}[/tex] = -1.960
Since | Z[tex]_{obt}[/tex] = -1.897 | [tex]\geq[/tex] | Z[tex]_{crit}[/tex] = -1.960 |
It does fall within the critical region for rejection (left tail), therefore we reject the null hypothesis (H₀) and conclude that the average time spent in the institution for the sample of patients is significantly lower than the institution's average stay.
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Evaluate f(p) = p + 2 when p = -3
Answer:
-1
Step-by-step explanation:
we plug in p = -3 in the equation to get the answer.
f(p) = -1
i need this done help please asap i have a meeting with my teacher in 30 minutes
The answer to the given permutation and combination are
3024015585009252To solve the given problems, we have to use permutation and combination
Permutation and CombinationThis is a topic in mathematics that deals with the probability or number of ways an event can occur.
a)10P5
[tex]_1_0P_5 = 30240[/tex]
b) 6C2
[tex]_6C_2 = 15[/tex]
c) This will be a multiplication of permutation of number. This becomes
[tex]_2_6P_2 * _1_0P_2 = 58500[/tex]
This can happen in 58,500 ways.
d) To arrange 9 blocks in a row, she can do it in
[tex]_9C_1 = 9[/tex]
she can do this in 9 ways
e) This can be solved using combination by writing it as
[tex]_1_0C_5 = 252[/tex]
She can do this in 252 ways.
From the above calculations, the answer to the given permutation and combination are
3024015585009252Learn more on permutation and combination here;
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convert radians to degrees
Answer:
135 degrees
Step-by-step explanation:
The image shows how i had my answer please
A scientist is studying bacterial growth over time. Her research is conducted by placing 10 strep bacteria in a petri dish containing enough food for the bacteria to live and thrive for the course of the research. She records the number of bacteria present every two hours for 6 hours. The collected data is shown in the table below and on the given graph.
a. What function, linear or exponential, do you think would be the best choice to model this data? Explain why you think your choice is the best-fit.
b. Explain how to determine which function is the best choice mathematically, without using a graph. Demonstrate your method.
c. Think of an example of at least 4 data points that would be best modeled by the function you did NOT choose in part a. Explain how you set up the data so that it worked with this type of function.
Answer:
whatch pH bro......,.......
Answer:
the number of bacteria present every two hours for 6 hours. The collected data is shown in the table below and on the given graph.A scientist is studying bacterial growth over time. Her research is conducted by placing 10 strep bacteria in a petri dish containing enough food for the bacteria to live and thrive for the course
Step-by-step explanation:
82 people were surveyed as to how many TVs they had in their homes.
What was the range in the number of TVs owned by these households?
Number of TVs per Household Frequency
0 1
1 10
2 24
3 21
4 16
5 9
6 1
Answer:
The range is 23
Step-by-step explanation:
You need to find the biggest number, and then find the smallest number. Then you need to subtract them.
at a basketball game, a vender sold a combined total of 166 sodas and hot dogs. The number of hot dogs sold was 54 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The best way to solve these sorts of problems that involve two factors of unknown quantities but with certain properties is to use equations:
Let's set some variables
h: # of hot dogs solds: # of sodas soldNow based on the information given by the question, let's set up some equations:
vender sold a combined total of 166 sodas and hot dog⇒ [tex]s + h = 166[/tex]
number of hot dogs sold was 54 less than the number of sodas sold⇒ h = s - 54
Now lets put the equation together
s + h = 166 -- equation 1
h = s - 54 -- equation 2
Solve:
Plug the value of h from equation 2 into equation 1
s + (s - 54) = 166
2s - 54 = 166
2s = 220
s = 110 -- equation 3
Plug the value of s from equation 3 into equation 2
h = 110 - 54 = 56
h = 56
Therefore:
number of sodas sold: 110number of hot dogs sold: 56Hope that helps!
What is sin 45°?
O
45°
VE
1
90°
45°
1
O
O A. /
O B. v
O C. 1
O D.
1
2
Answer:
A
Step-by-step explanation:
A
The value of sin 45° is,
⇒ sin 45° = 1/√2
We have to given that,
A triangle is shown in image.
We know that,
sin x = Opposite / Hypotenuse
Now, By given triangle,
sin 45° = 1/√2
Therefore, The value of sin 45° is,
⇒ sin 45° = 1/√2
Learn more about the triangle visit;
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PLEASE HELP I AM TRYING TO STUDY FOR A CALCULUS EXAM!! WORTH A TOTAL OF 100 POINTS!!!!!!!!!
Find the mass of a sphere of radius 7 if δ= kρ, k a constant.
Presumably, both δ and ρ represent density of some object. Considering the context, ρ is likely a function of 3 variables, ρ = ρ(x, y, z). Then the mass of the sphere with the prescribed density δ(x, y, z) = k ρ(x, y, z) is
[tex]\displaystyle \iiint_B k \rho(x,y,z) \, dx\, dy\, dz[/tex]
where B is the set
[tex]B = \left\{(x,y,z) ~ : ~ x^2+y^2+z^2 \le 7^2\right\}[/tex]
If you have all the details at hand, you can compute the integral by converting to spherical coordinates, substituting
[tex]\begin{cases}x = u \cos(v) \sin(w) \\ y = u \sin(v) \sin(w) \\ z = u \cos(w)\end{cases} \text{ and } dx\,dy\,dz = u^2 \sin(w) \, du \, dv \, dw[/tex]
The integral then transforms to
[tex]\displaystyle k \int_0^{2\pi} \int_0^\pi \int_0^7 \rho(u\cos(v)\sin(w),u\sin(v)\sin(w),u\cos(w)) \, u^2 \sin(w) \, du \, dw \, dv[/tex]
Without any additional information, there's not much more to say...
someone help me with my homework
Answer:
Cite evidence from the text to explain Her as role in Greek mythology
How many positive integers are factors of 55^3 + 66^3?
Answer:
10
Step-by-step explanation:
55³ + 66³ =
= (5 × 11)³ + (2 × 3 × 11)³
= 5³ × 11³ + 2³ × 3³ × 11³
= 11³(5³ + 2³ × 3³)
= 11³ × 341
= 11³ × 11 × 31
= 11^4 × 31
The factors are:
1, 11, 31, 11², 11³, 11^4, 11 × 31, 11² × 31, 11³ × 31, 11^4 × 31
The factors are:
1, 11, 31, 121, 341, 1331, 3751, 14641, 41261, 453871
Answer: 10
Question 1
Suppose a person is standing on the top of a building and that she has an instrument that allows her to
measure angles of depression. There are two points that are 100 feet apart and lie on a straight line that is
perpendicular to the base of the building. Now suppose that she measures the angle of depression from the
top of the building to the closest point to be 35.5º and the angle of depression from the top of the
building to the furthest point to be 28.8º. Determine the height of the building. (Round your answer to the
nearest tenth of a foot.)
Answer:
239.8 feet to the nearest tenth.
Step-by-step explanation:
We have 2 right triangles one inside the other.
Let the height of the builing be x ft and the distance from foot of thebuiding to the closest point be y feet.
So we have the system:
tan 28.8 = x/(y + 100)
tan 35.5 = x/y
From second equation:
x = tan35.5 y
Sustituting in the first equation:
tan 28.8 = tan35.5 y / (y + 100)
tan35.5 y = tan 28.8 y + 100 tan 28.8
y(tan35.5 - tan28.8) = 100 tan 28.8
y = 100 tan 28.2 / (tan35.5 - tan28.8)
y = 336.16 ft
So x = height of the buiding = tan35.5 * 336.16
= 239.78 ft.
Help help help help math math
5
Solution:First, n*7 can be written as 7n.Then, 7*5 is equivalent to 35.So we have7n=35In order to find the value of n, we need to divide both sides by 7:n=5Hope it helps.
Do comment if you have any query.
he conic section below is
x
a. a circle
b. an ellipse
C. a parabola
d. a hyperbola
e. a degenerate
Enter
Answer: Degenerate
Step-by-step explanation:
This conic section (intersecting lines) is a degenerate
The conic section is degenerate.
The correct option is (e).
What is Conic?Any curve produced by the intersection of a plane and a right circular cone.
As, the given figure shows a degenerate conic is a conic (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve.
Hence, the conic section is degenerate.
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Suppose f(x) = x². Find the graph of f(x-4)
4
Click on the correct answer.
1
2 3
Click on each graph to enlarge it.
graph 1
graph 2
graph 3
graph 4
What’s the answer ?
Answer:
1
Step-by-step explanation:
Translation of a function h units to the right is accomplished by replacing x in the function definition with (x-h).
Here, x has been replaced by x-4, so we expect to see the graph look like the original function graph shifted 4 units to the right.
That matches Graph 1.
Human blood is divided into 8 possible blood types. The rarest blood type is AB negative. Only 1% of the population has this blood type. Suppose a random sample of 50 people is selected. Can we find the probability that more than 3% of the sample has AB negative blood
Using the normal approximation to the binomial distribution, it is found since np = 0.5 < 10, we cannot find the probability.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex], as long as [tex]np \geq 10, n(1 - p) \geq 10[/tex].In this problem, we have that:
Only 1% of the population has this blood type, hence p = 0.01.A random sample of 50 people is selected, hence n = 50.Then:
np = 50 x 0.01 = 0.5 < 10.
Thus we cannot find the probability.
More can be learned about the normal approximation to the binomial distribution at https://brainly.com/question/14424710
Pls help I need the answer
Answer:
small
time
time
small
please mark brainliest
A dog eats 4 pounds of food per day. Write and evaluate an expression to find how many pounds of food does 10 dogs eat in 7 days.
15 pts and Brainiest for clearest ans.
Pls answer as soon as possible, but answer correctly and not for the points and be clear!
If there's a Tutor, pls answer.
Solve the absolute value inequality 3x-1<8
Answer:
3
Step-by-step explanation:
3x - 1 < 8
Solve this inequality like a two-step equation.
Add 1 to both sides to cancel the -1.
3x - 1 < 8
3x < 9 Divide both sides by 3 to cancel the 3 in 3x.
x < 3
Find the absolute value (distance the number is from 0).
Absolute value = 3
I hope this helps and please mark me as brainliest!
BRAINLIEST?! :D
You look up at a 70°
angle and see a plane directly above a building that is 30 meters away from you. How high is the plane flying? Round your answer to the nearest tenth.
Answer:
tan 70 times thirty gives you -1.70
Is this statement true or false in the ordered pair (4,3) the y coordinate is 4
Please help me with this problem thank you!
Answer:
the awnser is or I'm 4th grade
Express with fractional exponents instead of radicals.
6√x² y³
Answer:
using of fractional exponents give us the value 6(x^2y^3)^1/2 or 6xy^3/2.
Find the numbers of faces, edges, and vertices of the solid.
Answer:
7 faces15 edges10 verticesStep-by-step explanation:
This is a counting problem. As with many counting problems, it is helpful to adopt a strategy that helps ensure you count everything only once.
__
FacesThere are two pentagonal faces and 5 rectangular faces for a total of ...
7 faces
__
EdgesThere are 5 edges around each of the pentagonal faces, and 5 edges connecting the top face to the bottom faces, for a total of ...
15 edges
__
VerticesThere are 5 vertices on the top face, and 5 on the bottom face, for a total of ...
10 vertices
I WILL GIVE BRAINLYEST AND 60 POINTS. Please help me ASAP.
Rectangle PQRS is plotted on a coordinate plane. The coordinates of P are (– 1, 4) and the
coordinates of Q are (– 1, – 4). Each unit on the coordinate plane represents 1 centimeter, and
the area of Rectangle PQRS is 64 square centimeters. Find the coordinates of Points R and S
given these conditions:.aPoints R and S are to the left of Points P and Q.bPoints R and S are to the right of Points P and Q
Answer:
This may or may not help be it might get you close.
order to estimate the average time spent on the computer terminals per student at a university, data were collected for a sample of 81 business students over a one week period. Assume the population standard deviation is 1.8 hours. With a 0.95 probability, the margin of error is approximately a. 0.20 b. 0.39 c. 1.96 d. 1.64
Using the z-distribution, as we have the standard deviation for the population, the margin of error is given by:
b. 0.39.
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the sample.The margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
As for the other parameters, we have that [tex]\sigma = 1.8, n = 81[/tex].
Hence, the margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{1.8}{\sqrt{81}}[/tex]
[tex]M = 0.39[/tex]
Hence option b is correct.
More can be learned about the z-distribution at https://brainly.com/question/25890103
1) Zero helps mark directions in value Choose ALL contexts that correctly describes zero.
A) elevation:0 feet is called the ground floor
B bank account below 5D is a
negative balance
C)electricity an object that has 0 charge is neutral
D) buildings on an elevator, o represents the sea level
temperature temperature above is a negative temperature
E) temperature : temperature above 0 is a negative temperature
Answer: A,C,D
Step-by-step explanation:
Answer:
bank account and electricity
Step-by-step explanation:i tried the other one and it was all incorrect
5) If the mean of the following data is 20.2, find the value of p. Variable (x) 10 15 20 25 30 Frequency (fi) 6 8 p 10 6
Answer:
p = 20
Step-by-step explanation:
Step1 :
Multiply each value by its frequency then add up :
(10 × 16) + (15 × 8) + (20 × p) + (25 × 10) + (30 × 6) = 20p + 610
Step2 :
Calculate the total of the frequencies :
6 + 8 + p + 10 + 6 = p + 30
The mean is equal to
[tex]\frac{20p+610}{p+30}[/tex]
Therefore
[tex]20.2 = \frac{20p+610}{p+30}[/tex]
then
20.2 × (p + 30) = 20p + 610
then
20.2p + 606 = 20p + 610
Then
20.2p - 20p = 610 - 606
Then
0.2p = 4
Then
p = 4/(0.2)
= 20
Does this graph show a function? Explain how you know.
• A. No; there are y-values that have more than one x-value.
B. No; the graph fails the vertical line test.
• c. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.
A graph that shows a function must pass the vertical line test
The true statement is (b) No; the graph fails the vertical line test.
How to determine if the graph shows a function?
For a graph to show a function, the graph must pass the vertical line test
The given graph do not pass the vertical line test;
This is so because, a line drawn from the x-axis would touch the graph at at least two different points
Hence, the true statement is (b) No; the graph fails the vertical line test.
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What is the area of this triangle ?
Answer:
8
Step-by-step explanation:
area of a triangle= b x h x 1/2 or b x h /2
the base is 4 and the height is 4
4x4/2
=16/2
=8
