Answer:
There is no error. This is a correct conclusion.
Step-by-step explanation:
If a sequence of rigid transformations
(translations, reflections, and rotations) and dilations can map △DCE onto △ABE, then the figures are similar.
Notice that both triangles are right triangles (at vertices B and C), with line AB and DC being the longer legs.
Therefore, if the triangles are similar, we should be able to map each pair of corresponding points onto each other with rigid transformations and dilations:
D should be mapped onto A.
C should be mapped onto B.
E should be mapped onto itself.
Lennox used a reflection across line BE and a dilation about E to get △DCE as close as possible to △ABE. But still, point D did not map onto point A.
So we can conclude that it's not possible to map △DCE onto △ABE using a sequence of rigid transformations and dilations.
Lennox concluded:
"It's not possible to map △DCE onto △ABE using a sequence of rigid transformations and dilations, so the triangles are not similar."
There is no error. This is a correct conclusion.
Answer:
there is no error
Step-by-step explanation:
I took the quiz on Khan and got it correct!
2. Medusa is looking for a TV screen big enough for her
and her head of snakes to enjoy her favorite soap opera.
Mngotoxo.
G TV is listed as being 60 inches. This
distance is act|ially the diagonal distance across the
screen. If thereen measures 36 inches in height, what
is the actual width of the screen to the nearest tenth of
an inch?
Answer:
48 Inches
Step-by-step explanation:
The diagonal of the TV = 60 Inches
Height of the Screen =36 Inches
We are to determine the actual width of the screen.
This TV across the diagonal forms a right triangle in which the diagonal is the hypotenuse.
We therefore use the Pythagorean Theorem to solve for the width of the screen.
Pythagorean Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]
Let w be the width of the television
[tex]60^2=36^2+w^2\\w^2=60^2-36^2\\w^2=2304\\w=\sqrt{2304}\\ $Width of the television, w=48 inches[/tex]
The string of a kite is 100 meters long and it makes an angle of 60° with the ground. What is the height of the kite?
Answer:
86.5 m
Step-by-step explanation:
Length of the string forms the hypotenuse AC of right angle triangle ABC.
C is the kite. A is the hand of the person (or, one end of the string). CB is the perpendicular (height of the kite ) from C on the ground. BC is the horizontal.
Sin 60° = CB/AC = √3/2
height = 1.73/2 * AC = 0.865 * 100 m = 86.5 m
Select each expression that is equivalent to 5(n + 4).
Answer:
5n+20
Step-by-step explanation:
5(n+4)
Distribute
5*n+5*4
5n+20
Jameson collects eggs from his chickens every day. The graph shows the approximate number of eggs Jameson collects over a couple of days.
What does 4.54 mean in this situation?
a. Jameson has 4 or 5 chickens.
b
Jameson collects about 4 or 5 eggs per day.
C
It takes 4.5, point, 5 days for Jameson to collect an egg.
Answer:
B
Step-by-step explanation:
Khan
help a sistah, follow their instah: emventures666
plz give brainliest oh wait nevermind-
Answer:
The answer is B
Step-by-step explanation:
I just got it right
What is the area of the shaded region between the two z-scores indicated in the standard normal curve shown below. z=-1.23 z=0.83
Answer:
Correct option A: 0.6874
Step-by-step explanation:
Hello!
To calculate the area within the interval [-1.23; 0.83], you have to subtract to the probability accumulated till the lower value to the probability accumulated to the higher value, symbolically:
P(Z≤0.83)-P(Z≤-1.23)
You have to use the Z table to look for the corresponding values of probability. The negative value is in the left entry and the positive value is in the right entry. The first column shows the integer and first decimal value, the second decimal value is in the first row, you cross both values and find the value of probability.
P(Z≤0.83)-P(Z≤-1.23)= 0.7967 - 0.1093= 0.6874
I hope it helps!
You deposit $2,000 at the end of each year into an account earning 2% interest compound annually. How much will you have in the account in 15 years?
Answer:
Simple interest = $600
Step-by-step explanation:
In this word problem, we will need to find the simple interest.
Formula:
I = prt or I = p x r x t
Simple interest: final answer
I = (2,000)(.02)(15) multiply.
I = 600
Simple interest: $600
After four years in college, Josie owes $21000 in student loans. The interest rate on the federal loans is 3% and the rate on the private bank loans is 4.4%. The total interest she owes for one year was $714.00.What is the amount of each loan?
Answer:
$104.27 is the amount at 3% and $20895.73 is the amount at 4.4%
Step-by-step explanation:
We are given that Josie owes $21000 in student loans.
Let x be principal at 3% rate of interest
Time = 1 year
Formula:[tex]A=P(1+r)^t[/tex]
[tex]A=x(1+0.03)^1[/tex]
A=1.03x
Interest = Amount - Principal
Interest = 1.03x-x=0.03x
So, (21000-x) is the principal at 4.4% rate of interest
Formula:[tex]A=P(1+r)^t[/tex]
[tex]A=(21000-x)(1+\frac{4.4}{100})^1[/tex]
A=21924-1.044x
Interest = 21924-1.044x-21000-x=924-2.044x
The total interest she owes for one year was $714.00
So, 0.03x+924-2.044x=714
x=104.27
So, $104.27 is the amount at 3%
The principal at 4.4% rate of interest =21000-x=21000-104.27=20895.73
Hence $104.27 is the amount at 3% and $20895.73 is the amount at 4.4%
What was yesterday? Or tim
Answer:
Tuesday may 18 2020
Step-by-step explanation:
if A is a square matrix such that A^2=2I,then A^-1=?
[tex]A^2=2I[/tex]
Recall that [tex]I=AA^{-1}=A^{-1}A[/tex], so
[tex]A^2=2(A^{-1}A)[/tex]
Multiply on the right by [tex]A^{-1}[/tex] and regroup terms:
[tex]A^2A^{-1}=2(A^{-1}A)A^{-1}[/tex]
[tex]A(AA^{-1})=2A^{-1}(AA^{-1})[/tex]
[tex]A=2A^{-1}[/tex]
and finally solve for [tex]A^{-1}[/tex]:
[tex]\boxed{A^{-1}=\dfrac12A}[/tex]
What design principle is stressed for experiments or observational studies?
Choose the correct answer below.
A. Using dependent samples with paired data is generally better than using two independent samples.
B. When using paired data, keep the sample very small in order to keep the data manageable.
C. The methods for dependent samples can be used for any matched pairs.
D. Using two independent samples is the best choice for accurate results.
Answer:
A). Using dependent samples with paired data is generally better than using two independent samples.
Explanation:
Observational studies is the research/study design in which the investigator observes the samples collected from the population in their natural pattern to make valid inferences without any kind of manipulation or interference. While the experimental studies involves a controlled or manipulated variable in order to check its impact over the independent variable and the relation between the two.
As per the question, the design principle that is emphasized for both the studies would be 'employing dependent samples along with the paired data is usually effective than employing two independent samples' as the former concerns one set of elements that makes them 'self-evident'(as the subjects of one sample can be employed to determine the subjects of other). Thus, option A is the correct answer.
The mean age of 5 people in a room is 40 years.
A person enters the room.
The mean age is now 37.
What is the age of the person who entered the room?
Answer:
22years
Step-by-step explanation:
The sum of ages of people in the room is 40 * 5= 200
[ Remember mean = total ahead of people/ number of people]
Let the age of the 6th person be X
200+x. / 6 = 37
200 + x = 37 * 6 = 222
x = 222- 200 = 22
In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6967 subjects randomly selected from an online group involved with ears. There were 1331 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.
Answer:
[tex]z=\frac{0.191 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6967}}}=-1.878[/tex]
Now we can find the p value using the alternative hypothesis and with the following probability:
[tex]p_v =P(z<-1.878)=0.0302[/tex]
We see that the p value is higher than the significance level of 0.01 so then we FAIL to reject the null hypothesis and there is NOT enough evidence to conclude that the return rate is less than 20% at 1% of significance
Step-by-step explanation:
Information given
n=6967 represent the random sample selected
X=1331 represent the surveys returned
[tex]\hat p=\frac{1331}{6967}=0.192[/tex] estimated proportion of return rate
tex]p_o=0.2[/tex] is the value to verify
[tex]\alpha=0.01[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We test the claim that the return rate is less than 20%, then the system of hypothesis are:
Null hypothesis:[tex]p\geq 0.2[/tex]
Alternative hypothesis:[tex]p < 0.2[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.191 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6967}}}=-1.878[/tex]
Now we can find the p value using the alternative hypothesis and with the following probability:
[tex]p_v =P(z<-1.878)=0.0302[/tex]
We see that the p value is higher than the significance level of 0.01 so then we FAIL to reject the null hypothesis and there is NOT enough evidence to conclude that the return rate is less than 20% at 1% of significance
The circumference of a circle 69.1 yard. what is the diameter?
Answer:
D = 22 yards
Step-by-step explanation:
D = C ÷ π
D = 69.1 ÷ 3.14
D = 22.006
D = 22 yards
What’s the correct answer for this?
Answer:
A.
Step-by-step explanation:
In the attached file
A bag contains 7 red and 10 white balls. In how many ways 4 balls are selected if there are more than 2 red balls?
Answer:
2
Step-by-step explanation:
Well if 2 are red it can only be either
rrrr
or
rrrw
Find the coordinates of the reflection without using the coordinate plane.
Q (-3,5) over the y-axis.
Answer:
(3,5)
Step-by-step explanation:
in order to reflect over an axis, you put a negative in front of the opposite axis's coordinate.
in this case, you reflect over the y axis so you put a negative in front of the x coordinate. (--3,5) two negatives make a positive so you get (3,5)
If your'e going to ask a question here, you might as well just use a coordinate plane
If my answer helps, please give me brainliest, it helps a lot
Answer:
(3,5)
Step-by-step explanation:
First CORRECT answer WILL get Brainliest. I’m on a limited time so if you don’t know, don’t answer. No guesses, not what you think, accurate and correct answers. I apologize if I am coming off as rude, but I honestly don’t have the time to delete questions. Thank you in advance!
Answer:
Square feet of Carpeting : 136 ft^2
Step-by-step explanation:
Let us divide this figure into two shapes, each being rectangles;
Considering the first, smaller shape, with a given dimension of 7 feet we can see that the second dimensions is 13 - 9, ⇒ 4 feet
The Area of this part would thus be ⇒ 7 * 4 = 28 ft^2
Now this second figure is provided with dimensions 12 by 9 feet, so that the area would, by definition ⇒ length * width = 12 * 9 ⇒ 108 ft^2. The total area of this figure is, by Partition Postulate : 108 + 28 ⇒ 136 square feet
If Sara plans to carpet the room, clearly the carpeting's area should be equivalent to that of the area of the room. This would mean;
Square feet of Carpeting : 136 ft^2
Solving for x and y
Answer:
105/13 = x ; 64/13 = y
Step-by-step explanation:
12x + 2 = y + 94 --> 24x + 4 = 2y + 188
11x + 12 = 2y + 91 -->
13x - 8 = 97 -->
13x = 105 -->
105/13 = x -->
64/13 = y
what is the volume please answer and EXPLAIN YOUR answer
Answer:
2268mm^3
Step-by-step explanation:
To find the volume of the whole shape, an easier way would be to find the volume of each seperate prism and add them together.
The top/smaller prism has dimensions of 4mm x 3mm x 9mm.
Multiply together and you get (4mm x 3mm) x 9mm = 12mm x 9mm = 108mm
The bottom/bigger prism has the dimensions of 12mm x 9mm x 20mm
Multiply together and you get (12mm x 9mm) x 20mm = 108mm X 20mm = 2160mm
Add 108mm + 2160mm and you get the final volume of 2268mm^3
*Because you're working with volume you always add a ^3 after your measurement (units cubed)
If the radius of a circle is 44 cm, then what is the diameter?
no guessing!!
Step-by-step explanation:
diameter = 2 * radius
= 2 * 44
= 88 cm (ANS)
Answer:
The diameter will be 88cm (Not a guess :P)
Step-by-step explanation:
So since we know that the radius is half the diameter we simply multiply 44*2 to get 88 as our diameter
Not hard, right? :P
Hope this helped! :)
Brainiest is most appreciated if possible
Sorry for any mistake that I made in advance
if your shadow is twice your height, what is the angle of elevation of the sun?
A. The angle of elevation is about 27°
B. The angle of elevation is 30°
C. The angle of elevation is 60°
D. The angle of elevation is 63°
Answer:
The angle of elevation is about 27°
Step-by-step explanation:
Let's view this case in the form of a right angled triangle. With the original height as the opposite side to the elevation angle and the shadow length as the adjacent side.
Let x represent the original height
2x is the length of shadow
And θ the angle of elevation
Applying trigonometry;
Tan θ = opposite/adjacent = original height/shadow length
Substituting the values;
Tan θ = x/2x
Tan θ = 1/2
θ = taninverse(1/2)
θ = 26.56505117707
θ ≈ 27°
Elevation angle is approximately 27°
What is 9/7-6/10 equals
Answer:
48/70 or24/35
Step-by-step explanation:
9/7-6/10 u find the LCD or lowest common denominator. 90/70-42/70=48/70=24/35
Answer:
24/35
Step-by-step explanation:
9/7 - 6/10
Simplify 6/10 by dividing the top and bottom by 2
9/7 - 3/5
The common denominator is 7*5 = 35
9/7 * 5/5 - 3/5 *7/7
45/35 - 21/35
24/35
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. F(x) = [tex]4x^2 + 1[/tex]
Step-by-step explanation:
The altered function on the graph has shifted upwards by 1 unit from a +1. It also got narrower, and this is from a number that's greater than 1 in front of x.
What is the best estimate for the width of a sidewalk?
>) 10 meters
>) 1 meter
10 centimeters
1 centimeter
Answer:
10 meters because it can't be 1 or 10 cenemiters because that's way too short and 1 meter i ls only 12 inches so thats also too short so it has to be 10 meters
I need the answer to number 9. Please! And if you have answers to the other questions;sharing them would be greatly appreciated. :D
Answer:
the correct answer for 9 is A) N 3-
Step-by-step explanation:
When faced with needing additional money during college which is option is NOT true?
The options to the questions are:
A. Taking on a job can cut into study time
B. Paying with credit cards can end up conting more money
C. Paying with additional loans can lead to connections and opportunities
D. Taking on a job can make connections that lead to opportunities
Answer:
C. Paying with additional loans can lead to connections and opportunities
Step-by-step explanation:
When faced with needing additional money during college, an individual may chose to take on job so to get extra money to finance his or her needs. However, such venture often leads to redcution in study time, as working on jobs will also needs it own time of execution.
Also, paying for financial needs during college days with credit card can lead to counting more money on the card. This implies that one can accumulate credit card rewards which can be in form of cashback, or points from certain purchases when using credit card.
More so, taking a job during college days, will definitely brings connections with different people, and thereby leads to opportunities.
However, paying with additional loans will never lead to connections and opportunities, but rather more debt, that the debtor will have to pay, which may take months or years. And it can only be a burden on the debtor.
Hence, when faced with needing additional money during college the option that is NOT true is Paying with additional loans can lead to connections and opportunities
A store offers four different brands of a product. It decides to eliminate one
brand based on the likelihood a customer will return that brand. The table
shows the number of items of each brand that were returned over the past
year and the total sold.
Returns
Brand A
Total sold
343
17
Brand B
14
180
Brand C
16
383
Brand D
8
246
Which brand should the store consider eliminating?
A. Brand A
B. Brand B
C. Brand C
O D. Brand D
Please help me !!!!
Answer:
B. Brand B
Step-by-step explanation:
[tex]\left|\begin{array}{cccc}$Brand&$Total Sold&$Returns&$Probability of Returns\\---&---&---&---\\$Brand A&343&17&\dfrac{17}{343}=0.0496 \\\\$Brand B&180&14&\dfrac{14}{180}=0.0778 \\\\$Brand C&383&16&\dfrac{16}{383}=0.0418\\\\$Brand D&246&8&\dfrac{8}{246}=0.0325\\&&&\end{array}\right|[/tex]
We can see from the table above that the experimental probability of returns of Brand B is the highest, therefore it has the highest likelihood of being returned.
The store should consider eliminating Brand B.
Answer:
B.) Brand BStep-by-step explanation:
In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use the number to simulate the weather in the video game
Answer:
If the integer is in the range 1–15, then the weather could be declared rainy
Step-by-step explanation:
Assuming the integers are uniformly distributed 15 of them will constitute 30% of the possible integer. If the integer is in the range 1–15, then the weather could be declared rainy. That would make the probability of rain 30%, as required.
Richard has just been given a 8-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all eight questions, find the indicated probabilities. (Round your answers to three decimal places.)
(a) What is the probability that he will answer all questions correctly?
(b) What is the probability that he will answer all questions incorrectly?
(c) What is the probability that he will answer at least one of the questions correctly? Compute this probability two ways. First, use the rule for mutually exclusive events and the probabilities shown in the binomial probability distribution table.
Then use the fact that P(r ≥ 1) = 1 − P(r = 0).
(d) What is the probability that Richard will answer at least half the questions correctly?
Answer:
1. P(all are correct) =0.00000256
2. P ( all are incorrect) = 0.1677
3. P( at least one correct ) = 0.8310
c. P(r ≥ 1) = 0.8322
d. P ( half the questions are incorrect) = 0.046
Step-by-step explanation:
Let A be the event that he will choose the correct answer and there is only one correct answer out of 5 choices so the probability of A = P(A)= 1/5
As there are 8 number of questions so n= 8
Applying the binomial theorem
P(all are correct) = ⁸C₈ (1/5)⁸ (4/5)°= 1* 1/5*5*5*5*5*5*5*5 (1)
a. P(all are correct) = 1/625 *625= 1/390625= 0.00000256
b. P ( all are incorrect) = ⁸C₀ (1/5)° (4/5)⁸= 1* 4*4*4*4*4*4*4*4/5*5*5*5*5*5*5*5 (1)= 256*256/625 *625= 65336/390625 = 0.1677
c. P( at least one correct ) = P (one Correct) + P( 2 Correct) + P (3 correct) + P( 4 correct) + P ( 5 correct) + P ( 6 correct) + P ( 7 correct) + P ( 8 correct)
P( at least one correct ) = 0.00008192+ 0.00114688+ 0.00917504 + 0.0458752 + 0.14680064 + 0.29360 + 0.335544 +0.00000256
P( at least one correct ) = 0.8310
P (one Correct) = ⁸C₇ (1/5)⁷ (4/5)= 8* 1/5*5*5*5*5*5*5 * 4/5 = 0.00008192
P( 2 Correct) = ⁸C₆ (1/5)⁶ (4/5)²= 28 * 1/5*5*5*5*5*5* 16/25= 0.00114688
P (3 correct)=⁸C5₅ (1/5)⁵ (4/5) ³= 56* 1/5*5*5*5*5* 64/125 = 0.00917504
P( 4 correct) = ⁸C₄(1/5)⁴ (4/5)⁴= 70* 1/5*5*5*5 * 256/625 = 0.0458752
P ( 5 correct) = ⁸C₃ (1/5)³ (4/5)⁵= 56 * 1/5*5*5 *1024/ 3125 = 0.14680064
P ( 6 correct)= ⁸C₂ (1/5)² (4/5) ⁶= 28* 1/5*5 * 4096 /15625= 0.29360
P ( 7 correct) = ⁸C₁ (1/5) (4/5)⁷= 8* 1/5 * 16384/78125 = 0.335544
P(r ≥ 1) = 1 − P(r = 0).
=1- 0.1 677 = 0.8322
d. P ( half the questions are incorrect) =⁸C₄ (1/5)⁴ (4/5)⁴
= 70 * 1*1*1*1/ 5*5*5*5* 4*4*4*4/5*5*5*5 = 70 * 1/ 625* 256/625 = 0.0458= 0.046
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
B
Step-by-step explanation:
A function has at most one y value for every x value. This means that for every vertical line, there can be at most one intersection.
This example clearly doesn't satisfy this requirement.