Answer:
b. Tan A = 5/12
Step-by-step explanation:
Recall: SOHCAHTOA.
Since the trigonometric function we are to find is Tan A, we would use TOA, which is:
Tan θ = Opp/Adj
θ = A
Opp = 20
Adj = 48
Thus:
Tan A = 20/48
Simplify the fraction
Tan A = 5/12
Professors often attempt to determine if the submissions by the students are genuine or copied off the web sources. The program that performs this task is only 95 % accurate in correctly identifying a genuine submission and 80% accurate in correctly identifying copies. Based on the past statistics, 15% of the student turned in copied work. If a work is identified as a copy by the program, what is the probability that it is indeed a sample of copied work.
Answer:
0.7385 = 73.85% probability that it is indeed a sample of copied work.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Identified as a copy
Event B: Is a copy
Probability of being identified as a copy:
80% of 15%(copy)
100 - 95 = 5% of 100 - 15 = 85%(not a copy). So
[tex]P(A) = 0.8*0.15 + 0.05*0.85 = 0.1625[/tex]
Probability of being identified as a copy and being a copy.
80% of 15%. So
[tex]P(A \cap B) = 0.8*0.15 = 0.12[/tex]
What is the probability that it is indeed a sample of copied work?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12}{0.1625} = 0.7385[/tex]
0.7385 = 73.85% probability that it is indeed a sample of copied work.
The blue segment below is a radius of oo. What is the length of the diameter of the circle?
Answer:
Diameter = 25.4 unitsStep-by-step explanation:
radius = 12.7
Diameter = 2 × radius
= 2 × 12.7
= 25.4 units
Pls help ASAP. Pls and thx.
Answer:
(assuming the. values are the shaded areas)
area = x^2 + 2x +2
perimeter = 4x + 8
Step-by-step explanation:
you have all the side except the side of the 2 squares at the top.
The squares are 1 unit on each side because the area of the 2 slender rectangles on each side is x.
So the area is x^2 + x + x + 1 + 1
The perimeter is 1+x+1+1+1+x+1+1+1+x+1+x
(starting from the lower left side and walking around the perimeter clockwise)
Help with translations!
Given:
The figure of a trapezoid.
The figure is translated down 5 units and then rotated 180 degrees clockwise.
To find:
The coordinates of the image of point W after these transformation.
Solution:
From the given figure it is clear that the coordinates of point W are (-6,3).
The figure is translated down 5 units. So,
[tex](x,y)\to (x,y-5)[/tex]
[tex]W(-6,3)\to W'(-6,3-5)[/tex]
[tex]W(-6,3)\to W'(-6,-2)[/tex]
After that the figure is rotated 180 degrees clockwise.
[tex](x,y)\to (-x,-y)[/tex]
[tex]W'(-6,-2)\to W''(6,2)[/tex]
Therefore, the coordinates of point W after the given transformations are (6,2).
What is -1/4-(-3/5).
Answer:Okay that was easy its 0.35
Step-by-step explanation:
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer: 24km^2
Step-by-step explanation: The area of the middle rectangle of the trapezoid is 3×4=12. The two triangles on the sides are both 3-4-5 right triangles and have a combined area of 12 units^2. 12+12=24!
PLSSSSSSSSSSS HELP OMGGGGGGGG
Answer:
hi
have a good day for you
What is the surface area of the triangular prism? (please help)
Answer:
72 sq ft.
Step-by-step explanation:
Surface area of Triangular prism=[2*(1/2)*3*4]+(5*5)+(3*5)+(4*5)=12+25+15+20=72 sq ft.
Help me
And Do not trust people that share links these people hack and put viruses into your phone/computer’s
DO NOT TRUST THESE LINKS
Solve the following equation for x.
m(7-x) = 5-y
Need help ASAP!!! Will mark brainliest if correct!!
Tammy will run more than 28 miles this week. So far, she has run 18 miles. What are the possible numbers of additional miles she will run?
Answer:
Any number that is greater than 10
Step-by-step explanation:
Tammy is wanting to run more than 28 miles. Having already ran 18, she has to run 10 more to even reach 28 miles in total. She wants to run MORE than 28 so the number of miles she has yet to run in possibility is any number that is GREATER than 10.
ex: 11, 12,13, 14.....
What is the x-intercept of the equation -3x + 5y = -15
Answer:
Hi! Just for your safety do not click on the link in the other answer!
The answer to your questions is (5,0) Or another way to express it is 5.
Step-by-step explanation:
To find the x-intercept substitute 0 in for y and solve for x.
※※※※※※※※※※※※※※
⁅Brainliest is greatly appreciated!⁆
- Brooklynn Deka
Hope this helps!!
What’s the answer and work for this? Someone please telllllllll meeee!!!!
Answer: 25
Step-by-step explanation: The median is the average of the middle two numbers and if the median will be 17.5 then the sum of the middle numbers will be 35, and when we arrange the numbers in the least to greatest order we realize that 10 will be one of the middle two numbers when a number is added, and so the other number must be 25. Hope this helped!
What is the domain of the following parabola? (5 points)
u-shaped graph that opens down with a vertex of 1, 2
Group of answer choices
y ≤ 2
x ≥ 1
All real numbers
x ≤ 1
Answer:
the domain for this parabola is all real numbers
The model represents the percentage of family households in the 2012 census. What percent of households were not considered families?
A:75%
B:65%
C:65%
D:35%
also it's not c I got it wrong
Five friends want to share 5/6 of a pie equally what fraction of the whole pie should each friend receive?
Answer:
1/6
Step-by-step explanation:
Answer: 1/6
Step-by-step explanation: 1/6 because your splitting it equally among 5 friends so all five friends gets 1/6 pie
Solve.
b + 2/9 = 1 3/5
Rewrite 14/32 in the simplest form.
Answer:
7/16
Step-by-step explanation:
PLEASE HELP ME PLEASE!
Answer:
-4 and d
==============
Please give brainliest, I really want to rank up, thank you!
Answer:
x = d
x = -4
Step-by-step explanation:
not sure i tried
The quadratic function h is shown on the graph. If the graph is h(x) = (3/5 ) (x – d)(x + 6), what is the value of d?
Answers ↓
(A) -14
(B) 14
(C) -60
(D) 42/5
9514 1404 393
Answer:
(B) 14
Step-by-step explanation:
"d" is a value that makes the function be zero. The x-intercepts (zeros) of the function are at x=-6 and x=14, corresponding to factors (x +6) and (x -14). The (x+6) factor is already given in the equation, so we must conclude d=14.
The calibration of a scale is to be checked by weighing a 13 kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with Sigma = 0.200 kg. Let µ denote the true average weight reading on the scale.
Required:
a. What hypotheses should be tested?
b. With the sample mean itself as the test statistic, what is the P-value?
Solution :
a).
Given : Number of times, n = 25
Sigma, σ = 0.200 kg
Weight, μ = 13 kg
Therefore the hypothesis should be tested are :
[tex]$H_0 : \mu = 13 $[/tex]
[tex]$H_a : \mu \neq 13$[/tex]
b). When the value of [tex]$\overline x = 12.84$[/tex]
Test statics :
[tex]$Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $[/tex]
[tex]$Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $[/tex]
[tex]$=\frac{1.82}{0.04}$[/tex]
= 45.5
P-value = 2 x P(Z > 45.5)
= 2 x 1 -P (Z < 45.5) = 0
Reject the null hypothesis if P value < α = 0.01 level of significance.
So reject the null hypothesis.
Therefore, we conclude that the true mean measured weight differs from 13 kg.
Fill in the blanks
will choose brain
Mr. Simpson has 5 boxes of paintbrushes in his art room. After the first week of school, he buys 3 more paintbrushes. The expression below shows the total number of paintbrushes in Mr. Simpson's art room when prepresents the number of brushes in each box. 3 + px 5 If each box contains 8 paintbrushes, how many total paintbrushes are in Mr. Simpson's art room? (Show your work or explain how you got your answer in words)
Answer:
5+3+8 or if its wrong then 5+3+8+5+3 or just one 3.
Step-by-step explanation:
Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2
boht agyi yaade
hmm
:)
Please help me with this ASAP ASAP please
Answer:
r = 16 cm ; l = 34 cm ; LA = 544π cm^2 ; SA = 800π cm^2
Step-by-step explanation:
The volume of the cone can be find with this formula
V = (base area x height)/3
thanks to this formula we can find the base surface
base surface = (V x 3)/height
base surface = (2560π x 3)/30 = 256π cm^2
the formula of the base surface is
base surface = radius^2 x π
so we can find the radius in this way:
radius = √base surface/π
radius = √256π/π = 16 cm
slant height = [tex]\sqrt{radius^2 + height^2}[/tex]
[tex]\sqrt{16^2 + 30^2} =\sqrt{256 + 900} = \sqrt{1156} = 34[/tex] cm
lateral surface = radius x slant height x π = 16 x 34 x π = 544π cm^2
surface area = base area + lateral surface = 256π + 544π =800π cm^2
What is the value of x?
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
2 potatoes
Step-by-step explanation:
10 ×1/5 =2×1=2
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
A survey is being conducted to decide on how much time people spend watching sports on television. Tell whether the given sample is biased or unbiased. Explain your answers. (NOT A MULTIPLE CHOICE)
1. Every fifth person who enters Little Casesars Arena for a Red Wings game
2. Every tenth name in the phone.
Sampling bias occurs when some members of a population are systematically more likely to be selected in a sample than others. From this definition,
For sample 1, Every fifth person who enters Little Casesars Arena for a Red Wings game. This is not biased because no person is more likely to be selected than another
For sample 2, Every tenth name in the phone. This is also not biased
because no person is more likely to be selected than another
A spherical water tank with diameter of 26 meters supplies water to a small town. The town uses about 400 cubic meters of water per day. To
the nearest day, how long would a full tank last if no water were replaced due to drought conditions.
Answer:
23 days
Step-by-step explanation:
We would first determine the volume of the tank. This gives information on the amount of water it can carry
WE divide the volume by the amount of water the town uses per day
Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³
n = 3.14
r == radius
radius = 1/2 x diameter
radius = 26/2 = 13 meters
volume = (4/3) x (3.14) x (13^3) = 9198.106667 m^3
How long the tank would last = 9198.106667 / 400 = 23 days