Answers
Answer:
2x + x + 63 = 180 to find x.
m<1 = 78 degrees
m<2 = 102 degrees
Step-by-step explanation:
Combine like terms: 3x + 63 = 180
Subtraction: 3x = 117
Division: 3x/3 = 117/3
Final Answer: x = 39
m<1 = 2(39) = 78 degrees
m<2 = (39 + 63) = 102 degrees
Check work: 102 + 78 = 180
(180 is the measure of a straight line such as the one represented here)
Related Questions
Expand the following expression −7(5x−8)
Select one:
5x+56
35x−8
56−35x
21x
Answers
=-35x + 56
which is basically 56-35x if u swap it around
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?
Answers
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
calculate the 25% of 6 hours 20 minutes
Answers
6 hours and 20 mintues = 380 mintues
25% of 380 = 95 mintues = 1 hour and 35 mintues
Step-by-step explanation:
your welcome also use the website calculator.net it had a percentage calculator
Answer:
The answer is 95 minutes.
Step-by-step explanation:
1. Convert 6 hours to minutes which would lead to 360 minutes.
2. 360 minutes + 20 minutes = 380 minutes.
3. Now find 25% of 380 minutes.
How I found 25%.
1. 50% of 380 = 190.
2. 50% of 190 = 95.
Now since the half of our base half is 95 then 2 halfes are 2 25% but we need 1 only so we can conclude that, 25% of 380 minutes is 95.
Hope this helped :).
The answer is 7/5
Please help:)
Answers
Answer:
AB = 1.4 or 7/5
Step-by-step explanation:
(Excuse my rambling but I wanted to be sure of myself)
AD = 2(5/2) = 5
AD is a diameter.
any triangle in a circle with the hypotenuse as the diameter is a right triangle.
Draw a line from point A to point C.
ΔACD is a right triangle.
Solve for ∠CAD:
sin CAD = 3/5 = 0.6000
∠CAD = 36.87°
arc CD = 2 x 36.87° = 73.74°
arc BC = arc CD = 73.74°
arc DB = 147.48°
∠BAD = 1/2 (147.48°) = 73.74°
draw a line from point D to point B
ΔBAD is a right triangle.
cos 73.74° = AB/5
AB = 1.4
Find the linear equation that is the straight line through (1, 2) and (8, 30).
Answers
= 30-2/8-1
= 28/7
= 4
Equation:
y - 2/x - 1 = 4
y - 2 = 4(x-1)
y - 2 = 4x - 4
y = 4x - 4 + 2
y = 4x - 2
Answer:
y = 4x - 2
Step-by-step explanation:
→ First find the gradient
[tex]\frac{x2-x1}{y2-y1} =\frac{30-2}{8-1} = 4[/tex]
→ Put into y = mx + c format
y = 4x + c
→ Substitute ( 1 , 2 ) into y = 4x + c
2 = 4 + c so c = -2
→ Rewrite into equation format
y = 4x - 2
Which is a feature of function g if g(x) = -f(x-4)
A) Y-Intercept at (0,-4)
B) X- intercept at (5,0)
C) vertical asymptote of x=-4
D) horizontal asymptote of Y=4
Answers
Answer:
B
Step-by-step explanation:
Plato
The x- intercept of g(x) is at (5,0), the correct option is B.
What is a Function?A function is a law that relates a dependent and an independent variable.
The function is g(x) = -f(x-4)
The x intercept is when y =0
The function in the graph f is 0 at x =1
g(x) = -f( 5-4) = -f(1) = 0
To know more about Function
https://brainly.com/question/12431044
#SPJ5
The diameter of a circle measures 12 cm. What is the circumference of the circle?
Answers
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 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.
Answers
Answer:
Step-by-step explanation:
someone do this pls help?
Answers
ans.................
The total surface area is _ square centimeters
Answers
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
answer fast plz sjsjzjz
Answers
Answer:
104
Step-by-step explanation:
Just separate the whole thing into two shapes. Multiply the first shape: 12 x 7 = 84
Multiply the second shape: 5 x 4 = 20
An African elephant weighs 2 tons. How many pounds are in a herd with 26 elephants?
Answers
Answer:
52 pounds
Step-by-step explanation:
2 x 26= 52
PLEASE HELP, IF ITS RIGHT ILL GIVE U BRAINLIEST THINGY
Answers
Answer:
The answer is 8
Step-by-step explanation:
A triangle has sides 12cm, 9cm and 15cm. Is the triangle right-angled? Justify your answer
Answers
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.
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
Answers
Answer:
c 64 is your answer im pretty sure
help please
thank you for your help
Answers
Answer:
3(7+x²)x-2
3x(7+x²)-2
21x+3x³-2
Find the measure of the exterior angle.
Answers
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.
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)
Answers
6x1=6
7x4=28
Hence 6/28 is the area
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?
Answers
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
in the problem 12+58=70,12 and 58 are called factors true or false
Answers
Answer:
false
Step-by-step explanation:
Answer:
false they are called addend s
Help please hurry it not a test but hurry no links, please
Answers
Answer:
33 1/3%
Step-by-step explanation:
The percentage change is ...
difference/base × 100% = (120000 -90000)/90000 × 100%
= 1/3 × 100% = 33 1/3%
Urgent help please !!!
Answers
Answer:
The answer is A. 3x + 3
Step-by-step explanation:
Umm yea its that
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
Answers
Answer:
NO POSSIBLE TRIANGLES
Step-by-step explanation:
Answer:
no possible triangles
Step-by-step explanation:
the sum of m and the difference of r and 2
Answers
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.
Please help
For 20 points
Answers
Answer:
Step-by-step explanation:
Vertex: ( -2, -25)
Axis of symmetry: -2
wszystkie 5 zadań pls
Answers
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:
Which table of values represents a linear functions?
Answers
Answer:
D
Step-by-step explanation:
452 x 12 _____ = 452
fill in the blank
Answers
Answer:
38 remander 8
Step-by-step explanation:
Please help me or would be greatly appreciated
Answers
9514 1404 393
Answer:
A. 40° and 40°
Step-by-step explanation:
The triangle cannot have two angles measuring 100°, so the remaining two angles must be equal to each other. This eliminates choices B and D.
The sum of angles in the triangle must be 180°. This eliminates choice C.
The two other angles must both be (180° -100°)/2 = 40°.
Need help asap!!!! By 1 pm
Answers
Answer: x4
Step-by-step explanation:
