Answer:
The expected rate of return is 6.3%.
The standard deviation is of 11.29%.
Step-by-step explanation:
Expected rate of return
Multiply each rate by its probability. So
[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]
The expected rate of return is 6.3%.
Standard deviation:
Square root of the difference squared between each value and the mean, multiplied by the probability. So
[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]
The standard deviation is of 11.29%.
The diameter of a circle measures 12 cm. What is the circumference of the circle?
Answer
The circumference is 37.699
Hope this answer helped you!
⭐Please consider giving brainliest!⭐
Step-by-step explanation:
the circumference of the circle with diameter 12cm=2π(d/2)=2×π×12/2=12πcm
A triangle has sides 12cm, 9cm and 15cm. Is the triangle right-angled? Justify your answer
Answer:
yes
Step-by-step explanation:
Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: [tex]a^{2} +b^{2} = c^{2}[/tex]. Substitute using the given values:
(9^2)+(12^2)=15^2
81 + 144 = 255
255 = 255.
It satisfies the theorem therefore it is a right angle triangle.
Which of the following values are in the range of the function graphed below?
Check all that apply.
10
-10
10
- 10 -
I A. -1
B. 0
C. 4
D. -4
E. 1
F. 2
Answer:
1
Step-by-step explanation:
Just chillin' at the max 32-bit limit with two answers...
Answer:
I don't understand what the question issssss
in the problem 12+58=70,12 and 58 are called factors true or false
Answer:
false
Step-by-step explanation:
Answer:
false they are called addend s
Find the measure of the exterior angle.
Answer:
Option (C)
Step-by-step explanation:
By the property of an exterior angle,
Exterior angle of a triangle is equal to the sum of two opposite interior angles.
(15x + 34)° = 29° + (12x + 26)°
15x + 34 = 29 + 12x + 26
15x - 12x = 55 - 34
3x = 21
x = 7
Measure of exterior angle = (15x + 34)°
= 15(7) + 34
= 105 + 34
= 139°
Option (C) is the answer.
In ΔVWX, x = 9.1 inches, w = 5.4 inches and ∠W=161°. Find all possible values of ∠X, to the nearest 10th of a degree
Answer:
NO POSSIBLE TRIANGLES
Step-by-step explanation:
Answer:
no possible triangles
Step-by-step explanation:
PLEASE HELP, IF ITS RIGHT ILL GIVE U BRAINLIEST THINGY
Answer:
The answer is 8
Step-by-step explanation:
the sum of m and the difference of r and 2
Answer:
Step-by-step explanation:
Read simply, it is m + (r - 2). It is a very clear statement, so you can depend on the answer.
452 x 12 _____ = 452
fill in the blank
Answer:
38 remander 8
Step-by-step explanation:
Consider all the points in the plane that solve the equation [tex]$x^2 + 2y^2 = 16.$[/tex] Find the maximum value of the product [tex]xy[/tex] on this graph.
(This graph is an example of an "ellipse".)
Answer:
that hard....
Step-by-step explanation:
A company has a maximum advertising budget of $100,000 for the year. It
will be using two different platforms of advertising: online ads and billboards. Each online ad purchased will cost $15,000 for the year, and each billboard will cost $10,000 for the year. The company will not spend more than 60% of its overall budget on one of the platforms.Given that x represents the number of online ads purchased and y represents the number of billboards purchased, create a system of inequalities modeling the scenario. Select all that apply.
Answer:
Step-by-step explanation:
Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)
here you go! hopefully this helps :))
Help please someone please
Answer:
lateral area of cylinder =2×pi ×radius×height
lateral area of cylinder =2×3.14×1×2
lateral area of cylinder=12.56 unit²
What is the sum?
3(2x + 3) + 2(x + 5)
Answer:
A: 8x + 19
Step-by-step explanation:
3(2x+3) = 6x + 9
2(x+5) = 2x + 10
6x+9 + 2x+10 = 8x + 19
Myopia in children. Myopia, also called short-sightedness, is a common visual impairment that is reaching alarming proportions worldwide. The condition typically develops in school-age children and adolescents. It has long been thought that the condition was associated with too much reading, but recent evidence suggests instead that a lack of exposure to natural outdoor light may play a role. To investigate this new theory, researchers compared rates of myopia among randomly selected young children (6 and 7 years old) of Chinese ethnicity living in either Sydney (Australia) or Singapore. The researchers found that 4 of the 124 children in the Australian sample had myopia, compared with 183 among the 628 children from Singapore.
a. Display the findings in a two-way table. What percent of the children in the study had myopia? What is that percent among the children living in Australia and among those living in Singapore?
b. The researchers obtained information for most of the children in the study about their weekly amount of time in hours) spent reading or writing and the weekly amount of time in hours) spent on outdoor activities. Here are the summary statistics:
Time reading/writing Number of children Mean Standard deviation
Australia 109 20.8 13.9
Singapore 611 17.8 8.8
Time outdoors Number of children Mean Standard deviation
Australia 102 13.75 1.02
Singapore 586 3.05 0.12
How do the children from both countries in this study differ in how they spend their time?
c. Does the study suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children? Does it suggest that more time spent outdoors is associated with a greater risk of myopia? Can we draw a conclusion of causality based on this study?
d. The children enrolled in this study were all of Chinese ethnicity. What is the advantage in this study of collecting data from children with the same ethnicity compared with selecting random samples of children from each location regardless of ethnicity?
Answer:
a. A two way table is presented as follows;
[tex]\begin{array}{cccc}&Had \ Myopia&Do \ not \ have \ Myopia& Totals\\Sydney \ (Australia)&4&120&128\\Singapore&183&445&628\end{array}[/tex]
ii) The percentage of students in the study that have myopia are approximately 24.867%
iii) The percentage of children living in Australia with myopia are approximately 3.2258%
The percentage of children living in Singapore with myopia are approximately 29.14%
b. Children in Australia spend more time reading, writing and also outdoors than children in Singapore
c. The study does not suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children
The study does not suggests that more time spent outdoors is associated with a greater risk of myopia
d. The advantage is to reduce associated variables the generate more accurate findings or result
Step-by-step explanation:
a. A two way table is presented as follows;
[tex]\begin{array}{cccc}&Had \ Myopia&Do \ not \ have \ Myopia& Totals\\Sydney \ (Australia)&4&120&128\\Singapore&183&445&628\end{array}[/tex]
ii) The percentage of students in the study that have myopia are;
(4 + 183)/(124 + 628) × 100 ≈ 24.867%
iii) The percentage of children living in Australia with myopia is given as follows;
4/124 × 100 ≈ 3.2258%
The percentage of children living in Singapore with myopia is given as follows;
183/628 × 100 ≈ 29.14%
b. The data for the time spent reading and writing is presented as follows;
Number of children [tex]{}[/tex] Mean Standard deviation
Australia 109 [tex]{}[/tex] 20.8 13.9
Singapore [tex]{}[/tex] 611 17.8 8.8
The data for the time spent outdoors is presented as follows;
Number of children [tex]{}[/tex] Mean Standard deviation
Australia 102 [tex]{}[/tex] 13.75 1.02
Singapore [tex]{}[/tex] 586 3.05 0.12
From the data, more children in Australia spend more time reading and writing and also outdoors than children in Singapore
c. From the data, more children spend their time reading and writing in Australia and are also less likely to develop myopia than children in Singapore
Therefore, the study does not suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children
Similarly, the study does not suggests that more time spent outdoors is associated with a greater risk of myopia
d. The advantage of collecting data from children with the same ethnicity compared with selecting random samples of children from each location regardless of ethnicity is to reduce the variables or influential factors that may alter the impact on the test and the results
The manager of a fast-food restaurant wants to be sure that, on average, customers are served within 4 minutes from the time the order is placed. He is particularly concerned about the staff working during the early morning shift. From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.
(a) Is there convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes?
Answer:
There is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 4[/tex]
The alternate hypothesis is:
[tex]H_{1} < 4[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.
This means that [tex]n = 41, \mu = 3.75, \sigma = 1.2[/tex]
The test-statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3.75 - 4}{\frac{1.2}{\sqrt{41}}}[/tex]
[tex]z = -1.33[/tex]
[tex]z = -1.33[/tex] has a pvalue of 0.0918, looking at the z-table.
0.0918 > 0.05, which means that the null hypothesis is accepted, and that there is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes
The total surface area is _ square centimeters
Answer:
180 square inches
Step-by-step explanation:
First off since the square will be easiest to do
a=a^2
a=6^2
a=36
now for the triangles
a= height of triangle * base/ 2
a= 12*6/2
a= 36
and since there is 4 of the triangles we multiply 36 by 4
=144
now we add 144 to 36 and we have the total
here's my face I just dyed my hair-
Answer:
that looks nice
Step-by-step explanation:
the hair looks cool
Please help
For 20 points
Answer:
Step-by-step explanation:
Vertex: ( -2, -25)
Axis of symmetry: -2
Need help asap!!!! By 1 pm
Answer: x4
Step-by-step explanation:
wszystkie 5 zadań pls
Explanation is in the file
tinyurl.com/wpazsebu
Answer:
Musisz przejść do Brainly.ph, jedyny sposób, w jaki z tobą rozmawiam, to tłumacz. Brainly.com jest dla języka angielskiego
Step-by-step explanation:
help please
thank you for your help
Answer:
3(7+x²)x-2
3x(7+x²)-2
21x+3x³-2
s
31
T
114°
R
U
v
In the figure above, RT = TU. What is
the value of x ?
A) 72
B) 66
C) 64
D) 58
Answer:
c 64 is your answer im pretty sure
A private beach is 6/7 mile in length and 1/4 mile in width. What is the area of the private beach? (Don't forget to simplify)Immersive Reader
(20 Points)
Can somebody help me please
Step-by-step explanation:
First, find complete data.
That would be 2, 12 and 5, 30
Divide the output by the input to get the relationship/constant.
12/2 = 6 30/5 = 6
So...
1 x 6 = 6
and
48 / 6 = 8
9514 1404 393
Answer:
(b) Output 6, Input 8
Step-by-step explanation:
One of the things you can look at is the ratio of output to input. Here, it is constant, which makes things a lot easier
output/input = 12/2 = 30/5 = 66/11 = 6
Then for input 1, output is 1×6 = 6.
For unknown input, we have ...
input × 6 = 48
input = 48/6 = 8
__
The two blanks are ...
input: 8; output 6
Does anyone know ? ;-;
Answer:
[tex]y=\frac{3}{2}x+8[/tex]
Step-by-step explanation:
[tex]y=mx+b\\[/tex]
slope=m
[tex]y=-\frac{2}{3} x-1[/tex]
slope=[tex]-\frac{2}{3}[/tex]
slope=[tex]\frac{3}{2} ,(-4,2)[/tex]
[tex]y-y_{1} =m(x-1)\\\\y-_{2} =\frac{3}{2} (x-4)\\\\y-2=\frac{3}{2} x+6\\[/tex]
Add 2 to both sides
[tex]Answer:y=\frac{3}{2} x+8[/tex]
hope it helps!!
Somebody help me asap please giving brainliest
Answer:
70!
Step-by-step explanation:
If you divide the shape in rectangles, you'll just add it up in the end.
5 x 3 = 15
5 x 3 = 15
10 x 4 = 40
40 + 15 + 15 = 70.
Hope this helps!
I will mark you brainalist
Answer:
-3,3 this is because that is where both of the lines intersect making them both a solution for both equations.
Step-by-step explanation:
Answer:
B. (-3, 3)
Step-by-step explanation:
Point of intersection of both the lines is the solution to both the equations.
Both the lines are intersecting each other at point (-3, 3)
So, ordered pair of solution is (-3, 3)
X2 + 8x + y2 - 2y =64
